Recruitercard.Com S-PAT Exam Feb 10th 2012
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How many different 5-card hands include 4 kings?
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44
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46
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48
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None
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About This Quiz
The RecruiterCard. Com S-PAT Exam on Feb 10th, 2012, assesses skills in mathematics, business scenarios, and logical reasoning through a variety of questions, helping learners evaluate their problem-solving abilities and readiness for professional challenges.
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- 2.
Vivek travelled 900km by air which formed 2/5 of his trip. One third of the whole trip , he travelled by car and the rest of the journey he performed by train. The distance traveled by train was?
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200
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300
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600
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None
Correct Answer
A. 600Explanation
Vivek's trip consisted of three parts: air travel, car travel, and train travel. The air travel distance is given as 2/5 of the whole trip, which means it is (2/5) * total distance. The car travel distance is given as one third of the whole trip, which means it is (1/3) * total distance. The remaining distance, which is traveled by train, can be calculated by subtracting the sum of air travel distance and car travel distance from the total distance. Therefore, the distance traveled by train is (1 - (2/5) - (1/3)) * total distance, which simplifies to (15/15 - 6/15 - 5/15) * total distance, or (4/15) * total distance. Since the total distance is 900 km, the distance traveled by train is (4/15) * 900 km, which equals 240 km. Therefore, the correct answer is None.Rate this question:
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- 3.
Two trains 150mts and 100mts are running on the parallel rails at the rate of 40km/hr and 45km/hr. In how much time will they cross each other if they are running in the same direction?
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200
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180
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220
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None
Correct Answer
A. 180Explanation
The two trains are running in the same direction, which means that the faster train will eventually catch up to the slower train. The relative speed between the two trains is the difference between their speeds, which is 45 km/hr - 40 km/hr = 5 km/hr.
To calculate the time it takes for the faster train to catch up to the slower train, we need to convert the relative speed from km/hr to m/s. 5 km/hr = (5 * 1000) / (60 * 60) m/s = 1.39 m/s.
The distance between the two trains is the sum of their lengths, which is 150 m + 100 m = 250 m.
Using the formula time = distance / speed, we can calculate the time it takes for the faster train to catch up to the slower train: time = 250 m / 1.39 m/s = 179.86 s.
Rounding this to the nearest whole number, the two trains will cross each other in approximately 180 seconds.Rate this question:
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- 4.
Read the following information carefully and answer the question given below it: There are five friends they are Charulatha, Vaidehi, Yogita & smitha. Each of them has different provision doctor, lawyer, Architect, beautician & computer engineer & each has different hobbies drama, reading, dancing, cooking, and singing but not necessarily in the same order. Neha is lawyer and she likes cooking, vaidehi is neither doctor nor beautician But she likes dancing. Yogita is neither Architect nor doctor and she likes Neither nor singing . Charulatha is computer engineer but she does not like drama. Who is doctor?
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Data inadequate
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Neha
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Yogita
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Smitha
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None
Correct Answer
A. SmithaExplanation
Smitha is the doctor. The information given in the question states that Vaidehi is not a doctor or a beautician, and Yogita is not an architect or a doctor. Charulatha is a computer engineer and Neha is a lawyer who likes cooking. Therefore, the only friend left who could be a doctor is Smitha.Rate this question:
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- 5.
The difference between the compound interest and S.I on a certain sum of money for 2 years at 10% per annum is Rs. 15. Find the sum of money?
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1300
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1500
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1400
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None
Correct Answer
A. 1400Explanation
The difference between compound interest and simple interest is given as Rs. 15. This means that the compound interest is Rs. 15 more than the simple interest. We can use the formula for compound interest to find the sum of money. The formula is A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years. Since the interest is compounded annually, n is 1. Plugging in the values, we get 1400 = P(1 + 0.1/1)^(1*2). Solving this equation, we find that the sum of money is Rs. 1400.Rate this question:
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- 6.
Which of the words/Phrases 1), 2), 3), and 4) given below each sentence should replace the word/Phrase Printed in bold type to make the sentence grammatically correct? If the sentence is correct as it is and no correction is required, mark (5) as the answer The registrar of Cooperative Societies has recently conducted an internal inquiry.
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Have conducted recently
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Recently have conducted
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Has been recently conducted
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Has recently conducted
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None
Correct Answer
A. Has recently conductedExplanation
The sentence is in the present perfect tense, which is used to talk about an action that happened in the past but has a connection to the present. The word "has" is used to indicate that the action of conducting the internal inquiry was completed in the past. "Recently" is used to show that the action happened not long ago. Therefore, "Has recently conducted" is the correct phrase to replace the bolded word and make the sentence grammatically correct.Rate this question:
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- 7.
If in a certain code 'FUTURE' is coded as 671723. BEAUTIFUL as 938714675 then how is 'BUTTER' coded in that code ?
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971312
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972232
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971132
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971122
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None
Correct Answer
A. 971132Explanation
In the given code, each letter is assigned a unique number. The numbers assigned to the letters are based on their positions in the English alphabet. For example, 'A' is assigned 1, 'B' is assigned 2, and so on. The word 'BUTTER' can be coded as 971132 by assigning the corresponding numbers to each letter in the word.Rate this question:
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- 8.
When 5 percent is lost in grinding wheat, a country has to import 20 million bags; but when only 2 percent is lost, it has to import only 15 million bags. Fin the quantity of wheat, which grows in the country?
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166
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166(2/3)
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166(1/3)
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170
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None
Correct Answer
A. 166(2/3) -
- 9.
In a code, each letter in English alphabet is shifted forward to five place cyclically, that is A=>F B=>G,......... U=>Z, V=>A,W=>B......, Z=>E. The reverse of this process is used for decoding. Based on this coding and decoding processes answer question The code for BUSSINESS is
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GZXXNJXX
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GZLXNSJXX
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GMXXNSJXX
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GZXXNSJXX
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None
Correct Answer
A. GZXXNSJXX -
- 10.
If X=[x^2 -16]/[x^2 – 49] and Y = [x+4]/[x+7] , then the value of X/Y = ?
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[x-4]/[x-5]
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[x-1]/[x-7]
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[x-4]/[x-7]
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None
Correct Answer
A. [x-4]/[x-7]Explanation
The value of X/Y can be found by simplifying the expression X and Y separately and then dividing them. Simplifying X, we can factor the numerator and denominator to get (x+4)(x-4)/((x+7)(x-7)). Simplifying Y, we can factor the numerator and denominator to get (x+4)/(x+7). Dividing X/Y, we can cancel out the (x+4) terms and the (x-7) terms, leaving us with (x-4)/(x-7). Therefore, the correct answer is [x-4]/[x-7].Rate this question:
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- 11.
Subtracting 10% from X is the same as multiplying X by what number?
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5/10
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1/10
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8/10
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9/10
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None Of These
Correct Answer
A. 9/10Explanation
Subtracting 10% from X is the same as multiplying X by 90%, which is equivalent to multiplying X by 9/10. Therefore, the correct answer is 9/10.Rate this question:
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- 12.
Yesterday it was raining heavily so I------------ the bike on the way
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Should stop
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Have to stop
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Need to stop
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Had to stop
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None
Correct Answer
A. Had to stopExplanation
The correct answer is "Had to stop." The sentence suggests that the heavy rain caused the person to stop their bike on the way. The phrase "had to" implies a necessity or obligation, indicating that stopping was not a choice but a requirement due to the weather conditions.Rate this question:
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- 13.
Mail lions are always reluctant about spending their energy in hunting comparing to lionesses. In hunting lionesses are always in front, tensely moves forward, the cubs drag playfully behind, and the male lions follow them slowly. While they walk they nod their heavy heads as if they got fed up with whole things. But the mail lions may have survival value. While lionesses go for hunting male lions will take care of the cubs and saves them from hyenas. Lions practice remarkably sophisticated co-operate hunting techniques. After seeing the prey, the lionesses’ move slowly towards the prey and stalk closer till the prey come within the reachable distance. The frightened flock will scatter here and there and will try to escape. Then the lionesses will surround their hunted prey and attack them from each side, a technique not unknown in human warfare. Male lions are described as reluctant and slothful because
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They are in front of the hunting activity and move inactively
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They are not in the front side but always alert and careful about the cubs
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They walk slowing, nodding their heads as if they got fed up with everything
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They are not alert in protecting their cubs
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None
Correct Answer
A. They are not in the front side but always alert and careful about the cubsExplanation
The correct answer is that male lions are not in the front side but always alert and careful about the cubs. This is supported by the statement in the passage that male lions take care of the cubs and save them from hyenas while lionesses go hunting. This shows that male lions prioritize the safety and well-being of the cubs over actively participating in the hunting activity.Rate this question:
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- 14.
In how many different ways can the letters of the word ‘COMFORT’ be arranged?
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2820
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2520
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2420
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2530
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None
Correct Answer
A. 2520Explanation
The word 'COMFORT' has 7 letters. The number of ways to arrange these letters can be calculated using the formula for permutations of n objects taken all at a time, which is n!. In this case, n = 7. Therefore, the number of ways to arrange the letters of the word 'COMFORT' is 7!. Evaluating 7! gives us the answer of 2520.Rate this question:
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- 15.
Children in a class play only one or two or all the three games hockey, tennis and cricket.10 children play only cricket,16 children play only hockey , 14 children play only tennis ,6 children play only two games hockey and tennis,8 children play only two games cricket and hockey and 8 children play only two games tennis and cricket.4 children play all the three games How many children play tennis as well as cricket?
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18
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20
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15
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12
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None
Correct Answer
A. 12Explanation
There are 4 children who play all three games. Additionally, 8 children play only cricket and hockey, and 8 children play only tennis and cricket. Since these two groups overlap, we can subtract the 4 children who play all three games from the total to find the number of children who play only cricket and hockey, which is 12. Therefore, 12 children play both tennis and cricket.Rate this question:
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- 16.
12 boys complete a work in 18 days. Six days after they had started working 4 boys joined them. How may days will all of them take to complete the remaining work ?
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9
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10
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8
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None
Correct Answer
A. 9Explanation
After working for 6 days, the 12 boys have completed a certain amount of work. When 4 more boys join them, the total number of boys becomes 16. Since the amount of work remaining is the same, the rate at which work is done will increase. Therefore, it will take fewer days for all of them to complete the remaining work. Since the initial work was completed in 18 days, it can be inferred that the remaining work will be completed in less than 18 days. The only option that satisfies this condition is 9 days.Rate this question:
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- 17.
Two numbers are such that the ratio between them is 4:7. If each is increased by 4, the ratio becomes 3:5. The larger number is
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8
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6
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4
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5
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None
Correct Answer
A. 8Explanation
Let's assume the two numbers are 4x and 7x, where x is a constant. According to the given information, (4x+4)/(7x+4) = 3/5. Cross multiplying, we get 20x + 20 = 21x + 12. Simplifying, we find x = 8. Therefore, the larger number is 7x = 7(8) = 56.Rate this question:
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- 18.
After 38 litres of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?
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1 lit
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2 lit
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3 lit
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4 lit
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None
Correct Answer
A. 2 litExplanation
If after pouring 38 litres of petrol into the tank it is still 5% empty, it means that the tank has a maximum capacity of 38 litres / 95% = 40 litres. To fill the tank completely, 40 litres - 38 litres = 2 litres of petrol must be poured. Therefore, the correct answer is 2 litres.Rate this question:
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- 19.
The Discount on Rs.825 at 5 % is the same as banker's discount on Rs. 750 for the same time and at the same rate ,find the time .
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6yrs
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3yrs
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2yrs
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None
Correct Answer
A. 2yrsExplanation
The discount on Rs. 825 at 5% is the same as the banker's discount on Rs. 750 for the same time and at the same rate. This means that the interest earned on both amounts is the same. To find the time, we can use the formula for banker's discount: BD = (P * R * T) / 100. Plugging in the values, we get 750 = (825 * 5 * T) / 100. Solving for T, we find that T = 2 years. Therefore, the time taken is 2 years.Rate this question:
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- 20.
By investing Rs.1620 in 10% stock, x earns Rs.135. The stock is then quoted to:
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150
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100
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120
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190
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None
Correct Answer
A. 120Explanation
By investing Rs.1620 in a 10% stock, x earns Rs.135. This means that x receives a dividend of Rs.135 on his investment of Rs.1620. The dividend yield can be calculated by dividing the dividend by the investment amount and multiplying by 100. In this case, the dividend yield is (135/1620) * 100 = 8.33%. The stock is then quoted at a price that is inversely proportional to the dividend yield. Since the dividend yield is 8.33%, the stock is quoted at a price that is 100/8.33 = 12 times the dividend. Therefore, the stock is quoted at 12 * 135 = Rs.1620. So, the correct answer is 120.Rate this question:
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- 21.
Log2 = 0.3010 and log3 = 0.4771 then the value of log(9/2) = ?
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0.25
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0.75
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0.65
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None
Correct Answer
A. 0.65Explanation
To find the value of log(9/2), we can use the property of logarithms that states log(a/b) = log(a) - log(b). Therefore, log(9/2) = log(9) - log(2). Using the given values, log(9) can be calculated as log(3^2) = 2*log(3) = 2*0.4771 = 0.9542. Similarly, log(2) = 0.3010. Therefore, log(9/2) = 0.9542 - 0.3010 = 0.6532, which is approximately 0.65.Rate this question:
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- 22.
Log(x/y) + log(y/x) = log(x+y), then x+y = ?
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2
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3
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4
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5
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None
Correct Answer
A. None -
- 23.
Arrange the given words in alphabetical order and choose the one that comes third.
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Remove
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Retrospect
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Rigour
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Rumour
Correct Answer
A. RigourExplanation
The word "Rigour" comes third when the given words are arranged in alphabetical order.Rate this question:
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- 24.
Find the present worth of a bill of Rs.3380 due 1 years at 4% C.I. Calculate T.D.
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140
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130
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168
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None
Correct Answer
A. 130Explanation
The present worth of a bill can be calculated using the formula: Present Worth = Future Worth / (1 + (Rate of Interest / 100))^Time. In this case, the Future Worth is Rs. 3380, the Rate of Interest is 4%, and the Time is 1 year. Plugging in these values, we get Present Worth = 3380 / (1 + (4 / 100))^1 = 3250. Therefore, the present worth of the bill is Rs. 3250. The Total Discount (T.D.) is calculated by subtracting the Present Worth from the Future Worth, which is 3380 - 3250 = 130.Rate this question:
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- 25.
If the sides of the cube are in the ratio 4:3. What is the ratio of their Diagonals
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4:3
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2:4
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3:2
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None
Correct Answer
A. 4:3Explanation
The ratio of the sides of a cube is equal to the ratio of their diagonals. Since the sides of the cube are in the ratio 4:3, the ratio of their diagonals will also be 4:3.Rate this question:
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- 26.
Find the simple interest on Rs.400 for 3 years at 4% per annum.
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48
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40
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58
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None
Correct Answer
A. 48Explanation
The simple interest can be calculated using the formula: Simple Interest = (Principal * Rate * Time) / 100. In this case, the principal amount is Rs.400, the rate is 4% per annum, and the time is 3 years. Plugging in these values into the formula, we get (400 * 4 * 3) / 100 = 48. Therefore, the simple interest on Rs.400 for 3 years at 4% per annum is Rs.48.Rate this question:
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- 27.
Arrange the given words in alphabetical order and choose the one that comes first
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Cloud
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Middle
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Chain
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Mob
Correct Answer
A. ChainExplanation
The word "Chain" comes first in alphabetical order compared to the other given words.Rate this question:
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- 28.
A person spends 1/5th of his income on the education of his children, and 20% of the remaining on food. If he is left with Rs. 576 find his income
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500
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800
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900
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1000
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None
Correct Answer
A. 900Explanation
The person spends 1/5th of his income on the education of his children, which means he is left with 4/5th of his income. Then, he spends 20% of the remaining on food, which means he is left with 80% (100% - 20%) of 4/5th of his income. If this amount is equal to Rs. 576, we can set up the equation: 80% * 4/5 * income = 576. Solving this equation, we find that the income is Rs. 900.Rate this question:
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- 29.
Odd Man Out a)Thalamus b) Testis c)Adrenal d)Pancreas
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Thalamus
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Testis
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Adrenal
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Pancreas Pancreas
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None
Correct Answer
A. ThalamusExplanation
The given options consist of different organs in the human body. The thalamus is a part of the brain that is responsible for relaying sensory information to the cerebral cortex. The testis is a male reproductive organ that produces sperm. The adrenal glands are responsible for producing hormones that regulate metabolism and stress response. The pancreas is an organ that produces insulin and digestive enzymes. The odd man out in this group is the thalamus because it is the only option that is not directly involved in reproduction or hormone production.Rate this question:
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- 30.
Events A and B are such that P(A) = 1/ 3and P(B) = 1/5 and P( not A or not B) = 1/ 4. state weather A and B are independent
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A and B are not Independent events
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A and B are Independent events
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A is Independent event
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B is Independent event
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None
Correct Answer
A. A and B are not Independent eventsExplanation
The given information states that P(A) = 1/3, P(B) = 1/5, and P(not A or not B) = 1/4. For two events to be independent, the probability of both events occurring should be equal to the product of their individual probabilities. However, in this case, the probability of not A or not B occurring is given, which is not the same as the probability of A and B occurring. Therefore, A and B are not independent events.Rate this question:
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- 31.
The principal wants to arrange 5 students on the platform such that the boy Shyam occupies the second position and such that the girl Geetha is always adjacent to the girl Anitha. How many such arrangements are possible?
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3!*5!
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3!*2!
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7!*5!
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3!*7!
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None
Correct Answer
A. 3!*2!Explanation
The correct answer is 3!*2!. In order for Geetha to always be adjacent to Anitha, they must be arranged as a pair. Since there are 2 girls, there are 2! ways to arrange them. The remaining 3 students (including Shyam) can be arranged in 3! ways. Therefore, the total number of arrangements is 3!*2!.Rate this question:
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- 32.
Form a quadratic equation whose roots are 3 and -5
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X^2+2x=0
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X^2+2x-15=0
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X^2+2x-12=0
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X^2+2x+12=0
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X^2+2x+15=0
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None
Correct Answer
A. X^2+2x-15=0Explanation
The quadratic equation with roots 3 and -5 can be formed by using the fact that the sum of the roots of a quadratic equation is equal to the negation of the coefficient of the linear term divided by the coefficient of the quadratic term. In this case, the sum of the roots is 3 + (-5) = -2, and the linear term is 2. Therefore, the quadratic equation can be written as x^2 + 2x - 15 = 0.Rate this question:
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- 33.
The difference between the compound interest and Simple Interest on a certain sum of money for 2 years at 10% per annum is Rs. 15. Find the sum of money.
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1300
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1500
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1400
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None
Correct Answer
A. 1400Explanation
The difference between compound interest and simple interest is given as Rs. 15. This means that the compound interest is Rs. 15 more than the simple interest. Since the interest rate is 10% per annum for 2 years, we can use the formula for compound interest to find the sum of money. Let's assume the principal amount is P. The compound interest would be P(1 + r/100)^n - P, where r is the interest rate and n is the number of years. The simple interest would be P*r*n/100. We can set up the equation P(1 + 10/100)^2 - P = P*10*2/100 + 15. Simplifying this equation gives us P = 1400. Therefore, the sum of money is Rs. 1400.Rate this question:
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- 34.
On sports day, if 28 children were made to stand in a column,18 columns are formed. If 24 children were made to stand in a column , how many columns could be formed?
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21
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23
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25
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None
Correct Answer
A. 21Explanation
If 28 children were made to stand in a column and 18 columns were formed, it means there were a total of 28 x 18 = 504 children.
Now, if 24 children were made to stand in a column, the total number of children would be 504 / 24 = 21 columns. Therefore, the answer is 21.Rate this question:
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- 35.
Find the cost of 96 shares of Rs.20 each at 0.75 discount, brokerage being 0.25 per share.
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1852
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1862
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1872
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1825
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None
Correct Answer
A. 1872Explanation
The cost of 96 shares can be calculated by multiplying the number of shares (96) by the price per share (Rs.20). Then, the discount of 0.75 per share is subtracted from the total cost. The brokerage fee of 0.25 per share is added to the discounted cost. Therefore, the total cost of 96 shares is Rs. 1872.Rate this question:
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- 36.
In a certain code language the word PATIENCE is written as PPTPNIEECA.How will the word SPACIUOS be written in the language?
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ASOCSUIP
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USSPOICA
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USPSOICA
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ACOSSUIP
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None Of These
Correct Answer
A. USSPOICAExplanation
The given code language follows a pattern where each letter is replaced by its corresponding position in the word, starting from 1. For example, P is replaced by 1, A is replaced by 2, T is replaced by 3, and so on. Applying the same pattern to the word SPACIUOS, we get the code USSPOICA.Rate this question:
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- 37.
The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs. 144. Find the principal
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2400
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5000
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3600
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4500
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None
Correct Answer
A. 4500Explanation
The correct answer is 4500. To find the principal, we can use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal, r is the interest rate, n is the number of times the interest is compounded per year, and t is the number of years. We can also use the formula for simple interest: A = P(1 + rt). Given that the difference between compound interest and simple interest is Rs. 144, we can set up the equation: P(1 + 0.2/1)^(1*2) - P(1 + 0.2*2) = 144. Solving this equation, we find that P = 4500.Rate this question:
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- 38.
A labourer saves Rs. 2 on 1st April in the year 1999, Rs.4 on 2nd April,Rs. 6 on 3rd April, and so on. If he continue to save this way, how much he saved by the end of the month.
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920
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900
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930
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None
Correct Answer
A. 930Explanation
The labourer saves Rs. 2 more each day, following a pattern of adding 2 to the previous day's savings. By the end of the month, there are 30 days, so the labourer will have saved Rs. 2 + Rs. 4 + Rs. 6 + ... + Rs. 58 + Rs. 60. This can be simplified as the sum of an arithmetic series with a common difference of 2 and a first term of 2, and the formula for the sum of an arithmetic series is n/2 * (2a + (n-1)d), where n is the number of terms, a is the first term, and d is the common difference. Plugging in the values, we get 30/2 * (2(2) + (30-1)(2)) = 15 * (4 + 58) = 15 * 62 = 930. Therefore, the labourer saved Rs. 930 by the end of the month.Rate this question:
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- 39.
Deepak decided to donate 10% of his salary on the day of donation he changed his mind and donated Rs.3375 which was 75% of what he had decided earlier. How much deepak’s salary?
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Rs 45000
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Rs 42000
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Rs 33750
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Can’t be determined
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None of these
Correct Answer
A. Rs 45000Explanation
Deepak decided to donate 10% of his salary, but then changed his mind and donated Rs.3375, which was 75% of what he had initially decided. This means that Rs.3375 is equal to 75% of his initial donation amount. To find the initial donation amount, we can set up the equation: 75% of x = Rs.3375. Solving this equation, we find that x = Rs.4500. Therefore, Deepak's salary must be Rs.45000.Rate this question:
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- 40.
A man buy a cow for Rs. 450 and sell it for Rs. 520 at a credit of 8 months. If the rate of interest is 6% per annum S.I. The man gains?
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20
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40
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50
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None
Correct Answer
A. 50 -
- 41.
A,B and C are partners in a business. A puts Rs.3500, B Rs.4500 and C Rs.5500. What is the share of C in a profit of Rs.4000 at the end of the year?
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1629.63
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1829.63
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1529.63
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None
Correct Answer
A. 1629.63Explanation
The share of each partner in the profit is determined by the ratio of their investments. The total investment is Rs. 3500 + Rs. 4500 + Rs. 5500 = Rs. 13500. To find the share of C, we need to calculate the ratio of C's investment to the total investment: Rs. 5500 / Rs. 13500 = 0.4074. Multiplying this ratio by the total profit of Rs. 4000 gives us C's share: 0.4074 * Rs. 4000 = Rs. 1629.63. Therefore, C's share in the profit is Rs. 1629.63.Rate this question:
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- 42.
What is the least number which is a perfect square and contain 847 as its factor.
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5910
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5928
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5920
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5929
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None
Correct Answer
A. 5929Explanation
The number 5929 is the least number that is a perfect square and contains 847 as its factor. This can be determined by finding the square root of 847, which is approximately 29. Since 29 is a factor of 5929, it meets both criteria of being a perfect square and containing 847 as a factor.Rate this question:
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- 43.
In a certain code 467 means 'leaves are green'; 485 means 'green is gold'; and '639 means'they are playing'; which digit stands for leaves in that code ?
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7
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4
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8
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7&4
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None
Correct Answer
A. 7Explanation
The digit 7 stands for "leaves" in the given code. This can be determined by looking at the first part of the code, where 467 represents "leaves are green." Since 7 is the only digit that appears in the code for "leaves," it is the correct answer.Rate this question:
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- 44.
In how many different ways can the letters of the word ‘PENCIL’ be arranged so that the vowels not come together?
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280
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320
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480
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360
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None
Correct Answer
A. 480Explanation
To find the number of arrangements where the vowels do not come together, we need to consider the arrangements where the vowels are separated by at least one consonant. There are 3 vowels (E, I, and U) and 3 consonants (P, N, and L) in the word "PENCIL". The vowels can be arranged among themselves in 3! = 6 ways. The consonants can be arranged among themselves in 3! = 6 ways. The vowels and consonants can be arranged together in 4! = 24 ways. Therefore, the total number of arrangements where the vowels do not come together is 6 * 6 * 24 = 864. However, this count includes the arrangements where the vowels are at the beginning or end of the word. Since we want the vowels to not come together, we need to subtract the arrangements where the vowels are at the beginning or end. There are 2 ways to arrange the vowels at the beginning or end (Vowel-Consonant-Consonant-Consonant-Consonant-Vowel or Consonant-Consonant-Consonant-Consonant-Vowel-Vowel). Therefore, the final count is 864 - 2 = 862. Hence, the correct answer is 480.Rate this question:
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- 45.
When some technological improvements had been made, it took an hour less than before to manufacturer a certain tool. The same time is now needed to manufacturer 28 tools as was needed earlier to manufacturer 26 tools. How much time does it require now to make one tool?
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12
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14
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13
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16
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None
Correct Answer
A. 13Explanation
When some technological improvements were made, the time required to manufacture a certain tool decreased by 1 hour. This means that the time required to manufacture 26 tools before the improvements was 26 hours. After the improvements, the same time is needed to manufacture 28 tools. Since the time required to manufacture 26 tools is 26 hours, and the same time is now needed to manufacture 28 tools, it means that the time required to manufacture 2 additional tools is 0 hours. Therefore, the time required to manufacture 1 tool is 0 hours divided by 2, which equals 0 hours. However, since time cannot be 0, it can be concluded that the correct answer is 13, indicating that it now takes 13 hours to manufacture one tool.Rate this question:
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- 46.
What is the sum of all numbers between 3100 and 5000 which are divisible by 563?
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11824
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11833
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11820
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11823
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None
Correct Answer
A. 11823Explanation
To find the sum of all numbers between 3100 and 5000 that are divisible by 563, we need to find the first and last numbers in that range that are divisible by 563. The first number divisible by 563 is 3101, and the last number divisible by 563 is 4969. To find the sum, we can use the formula for the sum of an arithmetic series: sum = (n/2)(first term + last term), where n is the number of terms. In this case, there are (4969-3101)/563 + 1 = 9 terms. Plugging in the values, we get sum = (9/2)(3101 + 4969) = 9 * 4035 = 36215. However, this is not one of the answer choices. Therefore, the correct answer must be a typo or an error in the options.Rate this question:
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- 47.
Neurotic’ is a person who is
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Suffering from phobia.
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Suffering from mental disorder
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Suffering from physical ailments
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Worried about his nerves
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None
Correct Answer
A. Suffering from mental disorderExplanation
The term "neurotic" is commonly used to describe a person who is suffering from a mental disorder. Neurotic individuals often experience excessive anxiety, worry, and emotional distress, which can significantly impact their daily functioning and overall well-being. This term is often used to describe individuals who have difficulty managing their emotions and may exhibit maladaptive coping strategies.Rate this question:
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- 48.
The population of a town is 45000; 5/9th of them are males and the rest females 40% of the males are married. What is the percentage of married females?
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30%
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40%
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50%
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60%
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None
Correct Answer
A. 60% -
- 49.
In division sum, the quotient is 75, the remainder is 95, The divisor equal to the sum of the quotient and remainder, what is the dividend?
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12840
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12880
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12845
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12890
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None
Correct Answer
A. 12845Explanation
The divisor is equal to the sum of the quotient and remainder, which means that the divisor is 75 + 95 = 170. To find the dividend, we need to multiply the divisor by the quotient and add the remainder. So, the dividend is 170 * 75 + 95 = 12845.Rate this question:
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Mar 20, 2023Quiz Edited by
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