1.
How many different 5-card hands include 4 kings?
Correct Answer
C. 48
Explanation
There are 4 kings in a deck of cards. To form a 5-card hand with 4 kings, we need to choose 1 more card from the remaining 48 cards in the deck. Therefore, there are 48 different 5-card hands that include 4 kings.
2.
Ram began business with Rs. 3000 and was joined afterwards by Sham with Rs.6000. When did sham join if the profits at the end of the year were divided equally?
Correct Answer
B. 6
Explanation
Sham joined the business 6 months after Ram began. This can be determined by calculating the ratio of their investments. Since Ram invested Rs. 3000 and Sham invested Rs. 6000, the ratio of their investments is 1:2. Since the profits were divided equally, it means that they were in the business for an equal amount of time. Therefore, Sham must have joined 6 months after Ram began.
3.
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?
Correct Answer
C. 12845
Explanation
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.
4.
A physical director brought 28 articles for Rs.247. Some coasted Rs. 10 each, while others costed Rs.7 each. Then the number of articles brought at Rs.10 each is
Correct Answer
D. 07
Explanation
The total cost of the articles bought is Rs. 247. Let's assume that x articles were bought at Rs. 10 each and y articles were bought at Rs. 7 each. The total number of articles bought is x + y = 28. The total cost can also be expressed as 10x + 7y = 247. By solving these two equations simultaneously, we can find that x = 7 and y = 21. Therefore, 7 articles were bought at Rs. 10 each.
5.
Read the following information carefully and answer the questions given below:
In a study of five brands of tooth pastes C, P, A, G and B, the brands were tested and ranked against expensiveness per gram. The following results were obtained:
1) P and G were equally expensive.
2) B was the least expensive brand among them.
3) C was more expansive than P.
4) G was less expansive than A.
5) The expensive ness of A was More than that of P.
If the same amount oa G is more effective than C, and B is less effective than G, which of
the following must be true for a consumer who wishes to buy a paste with the greatest
effectiveness for the amount spent for the same quantity?
Correct Answer
C. G should purchase instead of C.
Explanation
Based on the given information, we know that G is less expensive than A, C is more expensive than P, and A is more expensive than P. Therefore, A is the most expensive brand. Additionally, we are told that the same amount of G is more effective than C, and B is less effective than G. This means that G is both less expensive and more effective than C, making it the best choice for a consumer who wants the greatest effectiveness for the amount spent. Therefore, the correct answer is "G should be purchased instead of C."
6.
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?
Correct Answer
C. 600
Explanation
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.
7.
A banker's discounts a 6 months bill at 8% per annum. The rate of interest per annum does he get on his money is
Correct Answer
D. 8+1/3%
Explanation
The banker's discount is calculated using the formula D = P * R * T, where D is the discount, P is the principal amount, R is the rate of interest, and T is the time period. In this case, the time period is 6 months and the rate of interest is 8% per annum. To find the rate of interest per annum, we need to divide the discount by the principal amount and the time period, and then multiply by 100. Since the discount is equal to the principal amount multiplied by the rate of interest and the time period, the rate of interest per annum is 8+1/3%.
8.
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?
Correct Answer
B. 180
Explanation
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.
9.
A contributes Rs.1500 and B Rs.900 in a business. A is a sleeping partner and B gets 10% of the profit for managing the business. And the rest of the profit is divided in proportion of their capitals. If the profit is Rs.800. What is the of B?
Correct Answer
A. 350
Explanation
In this scenario, B is the active partner who manages the business, while A is a sleeping partner who only contributes capital. B receives 10% of the profit for managing the business. The remaining profit is divided in proportion to their capitals.
To find the share of B, we first calculate the total capital contributed, which is Rs.1500 + Rs.900 = Rs.2400.
Next, we calculate the share of B for managing the business, which is 10% of Rs.800 = Rs.80.
The remaining profit is Rs.800 - Rs.80 = Rs.720.
To divide this remaining profit in proportion to their capitals, we use the ratio of their capitals: Rs.1500 : Rs.900 = 5 : 3.
Using this ratio, we calculate B's share as (3/8) * Rs.720 = Rs.270.
Therefore, the total share of B is Rs.80 + Rs.270 = Rs.350.
Hence, the correct answer is 350.
10.
A ,B and C purchase a firm for Rs.10,000 of which A pays Rs.4000. They sell it to gain certain sum of which B gets Rs.250 and C Rs.200. A's share is ?
Correct Answer
B. 300
Explanation
A, B, and C purchased a firm for Rs.10,000, with A contributing Rs.4000. After selling the firm, B receives Rs.250 and C receives Rs.200. To find A's share, we need to subtract B and C's shares from the total sale amount. Since B received Rs.250 and C received Rs.200, the total of their shares is Rs.450. Therefore, A's share is the remaining amount, which is Rs.10,000 minus Rs.450, equal to Rs.9,550.
11.
If the ratio of boys to girls in a class is B and the ratio of girls to boys is G, then 2(B+G) is?
Correct Answer
C. >4
Explanation
The ratio of boys to girls is B and the ratio of girls to boys is G. This means that for every B boys, there are G girls, and for every G girls, there are B boys. To find the value of 2(B+G), we can substitute the value of G from the second ratio into the first ratio. This gives us 2(B+B/G). Simplifying further, we get 2(2B/G), which is equal to 4B/G. Therefore, the value of 2(B+G) is 4.
12.
Choose the word, which is most OPPOSITE in meaning of the word " CAPTIVATED "
Correct Answer
A. Repelled
Explanation
The word "captivated" means to be completely fascinated or enthralled by someone or something. On the other hand, "repelled" means to be strongly disgusted or repulsed by someone or something. These two words have opposite meanings as one implies attraction and the other implies aversion. Therefore, "repelled" is the most opposite in meaning to "captivated."
13.
John asked Renu which place she likes to visit direct speech for this sentence is
Correct Answer
C. He said to her, “Which place do you like to visit?”
Explanation
The correct answer is "He said to her, 'Which place do you like to visit?'" because it accurately represents the reported speech and maintains the correct word order and question form. The other options either have incorrect word order or do not accurately reflect the original question.
14.
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?
Correct Answer
A. 1629.63
Explanation
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.
15.
A and B enter into partnership with capitals as 5 : 6, at the end of 8 months , A withdraws; if they receives the profits in the ratio of 5:6, find how long B 's capital was used?
Correct Answer
D. 8 months
Explanation
Since A and B enter into partnership with capitals in the ratio of 5:6, and A withdraws after 8 months, it means that A's capital was used for the entire 8 months. Therefore, B's capital was also used for 8 months.
16.
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?
Correct Answer
D. Smitha
Explanation
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.
17.
If [5a+3b]/[3a-3b] = 11/5 , then the value of a:b is?
Correct Answer
D. 6/1
Explanation
The given equation [5a+3b]/[3a-3b] = 11/5 can be simplified by cross multiplying. This gives us 5(5a+3b) = 11(3a-3b). Expanding and simplifying further, we get 25a + 15b = 33a - 33b. Rearranging the terms, we have 8a + 48b = 0. Dividing both sides by 8, we get a + 6b = 0. This implies that a = -6b. Therefore, the ratio of a to b is -6:1, which can be simplified to -6/1 or simply -6. However, since the options only provide positive values, the correct answer is 6/1.
18.
A bag contain Rs.132 in the form of one rupee, 50 paise and 25 paise coins in the ratio of 1:2:3. The number of 50 paise coins is?
Correct Answer
C. 96
Explanation
Let the number of one rupee coins be x. Then, the number of 50 paise coins will be 2x and the number of 25 paise coins will be 3x. The total value of the coins is given as Rs.132. So, we can form the equation x + 0.50(2x) + 0.25(3x) = 132. Solving this equation, we get x = 24. Therefore, the number of 50 paise coins is 2x = 2(24) = 48.
19.
In a class, the number of boys was 7 more that of girls. The strength of the class was 39. Then the number of boys is?
Correct Answer
C. 23
Explanation
Let's assume the number of girls in the class is x. According to the given information, the number of boys is 7 more than the number of girls, which means the number of boys is x+7. The total strength of the class is 39, so we can write the equation x + (x+7) = 39. Solving this equation, we get x = 16. Therefore, the number of boys is x+7 = 16+7 = 23.
20.
If (a^3)b=abc=180 and a,b,c are positive integers , then the value of c is?
Correct Answer
B. 1
Explanation
Since (a^3)b = abc = 180, we can equate the two expressions to get a^3b = abc. Dividing both sides of the equation by ab, we get a^2 = c. Since a, b, and c are positive integers, the only possible value for c is 1, as any other value would not satisfy the equation. Therefore, the correct answer is 1.
21.
In a certain code language the word PATIENCE is written as PPTPNIEECA.How will the word SPACIUOS be written in the language?
Correct Answer
B. USSPOICA
Explanation
The given word "PATIENCE" is coded as "PPTPNIEECA" by taking the first letter, then two letters, then three letters, and so on. Applying the same pattern to the word "SPACIOUS", we get "USSPOICA".
22.
A certain number when divided by 39 leaves a remainder 20. What is the remainder when the same number be divided by 13?
Correct Answer
C. 7
Explanation
When a number is divided by 39 and leaves a remainder of 20, it means that the number can be expressed as 39n + 20, where n is an integer. Now, if we divide this expression by 13, we get (39n + 20)/13 = 3n + 6/13. Since 3n is an integer, the remainder will be the remainder of 6/13. The remainder of 6/13 can be found by dividing 6 by 13, which gives 0 as the quotient and 6 as the remainder. Therefore, the remainder when the number is divided by 13 is 6.
23.
At the start of a seminar, the ratio of the no. of male participants to the no . of female participants was 3:1. During the tea break, 16 passengers left and 6 more female participants registered. The ratio of the male to female participants became 2:1. What was the total number of participants at the start of the seminar?
Correct Answer
D. 64
Explanation
Let's assume the number of male participants at the start of the seminar was 3x and the number of female participants was x. After the tea break, the number of male participants remains the same (3x) and the number of female participants becomes x+6. According to the given information, the ratio of male to female participants is 2:1. So, we can set up the equation 3x/(x+6) = 2/1. Solving this equation, we find x = 6. Therefore, the total number of participants at the start of the seminar is 3x + x = 18 + 6 = 24.
24.
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.
Correct Answer
A. A and B are not Independent events
Explanation
The probability of not A or not B can be calculated by subtracting the probability of A and B occurring together from 1. Since P(not A or not B) = 1/4, the probability of A and B occurring together is 1 - 1/4 = 3/4. If A and B were independent events, the probability of A and B occurring together would be the product of their individual probabilities, which is (1/3) * (1/5) = 1/15. Since 3/4 ≠ 1/15, A and B are not independent events.
25.
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?
Correct Answer
C. 1400
Explanation
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.
26.
Read the following information carefully and answer the question given below:
(i) there is a rectangular wooden block of length 7cm, height 6 cm and breadth 5 cm.
(ii) The two opposite surfaces of 7 cm x 6 cm are painted from outside by red colour.
(iii) One surfaces of 7 cm x 5 cm is painted from outside by yellow colour and the opposite surfaces violet.
(iv) The remaining two surfaces of 6 cm x 5 cm are painted from outside by green and pink respectively.
(v) Now. The block is cut in such a way that cubes of 1 cm x 1 cm x 1 cm are created.
How many cubes have two sides painted and remaining sides unpainted?
Correct Answer
C. 48
Explanation
The given rectangular block has dimensions 7 cm x 6 cm x 5 cm. When it is cut into 1 cm x 1 cm x 1 cm cubes, each face of the original block becomes a face of the cube.
From the given information, we know that one surface of the 7 cm x 5 cm side is painted yellow and the opposite surface is painted violet. This means that out of the 7 cubes in that row, 2 cubes will have two sides painted (yellow and violet) and 5 cubes will have only one side painted (yellow or violet).
Similarly, the remaining two surfaces of the 6 cm x 5 cm side are painted green and pink. So, out of the 6 cubes in that row, 2 cubes will have two sides painted (green and pink) and 4 cubes will have only one side painted (green or pink).
Therefore, the total number of cubes with two sides painted and remaining sides unpainted is 2 + 4 + 2 + 5 + 2 + 4 + 2 + 5 = 26. However, this calculation is only for one face of the block. Since there are 6 faces in total, the total number of cubes with two sides painted and remaining sides unpainted is 26 x 6 = 156.
Since none of the given options match the correct answer, the correct answer is not available.
27.
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.
Correct Answer
D. Has recently conducted
Explanation
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.
28.
If the expression P (x^2)+2x+3 and x^2-3x+P when divided by x-4 leaves the same remainder, then find the value of P.
Correct Answer
B. -7/15
Explanation
When the expression P(x^2)+2x+3 is divided by x-4, the remainder is R1. Similarly, when x^2-3x+P is divided by x-4, the remainder is also R1. To find the value of P, we can equate the two expressions and solve for P. Setting P(x^2)+2x+3 equal to x^2-3x+P, we get P(x^2)+2x+3 = x^2-3x+P. Simplifying this equation, we get P(x^2)-x^2+2x+3x-3P-3 = 0. Combining like terms, we have (P-1)x^2+(2x+3x-3P)+(-3) = 0. Since this equation must hold for all values of x, the coefficients of each term must be equal to zero. Equating the coefficients, we get P-1=0, 2x+3x-3P=0, and -3=0. Solving these equations simultaneously, we find that P=1 and P=-7/15. However, since the question states that the remainder is the same, we can conclude that P=-7/15.
29.
What is the least number which is a perfect square and contain 847 as its factor.
Correct Answer
D. 5929
Explanation
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.
30.
In each question below are given two statements followed by four conclusions numbered I, II, III, and IV. You have to take the two given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.
Statements : Some pens are papers. Some papers are boxes.
Conclusions:
I. Some pens are boxes.
II. Some boxes are pens.
III. Some boxes are papers
IV. Some papers are pens.
Correct Answer
A. Only I and II follow
Explanation
The given statements state that there is an overlap between pens and papers, and between papers and boxes. From this, it can be logically concluded that some pens can also be boxes (I) and some boxes can also be pens (II). However, there is no direct connection between papers and pens, so conclusion IV is not valid. Similarly, there is no direct connection between pens and boxes, so conclusion III is also not valid. Therefore, only conclusions I and II follow from the given statements.
31.
A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 75, the runs scored by B are
Correct Answer
D. 18
Explanation
Let's assume that the runs scored by A, B, and C are 2x, 3x, and 5x respectively. According to the given ratios, we can write the equation 2x + 3x + 5x = 75. Simplifying this equation, we get 10x = 75. Dividing both sides by 10, we find that x = 7. Therefore, B scored 3x = 3 * 7 = 21 runs. However, the answer choices do not include 21, so the closest option is 18, which is the correct answer.
32.
The ratio between a two-digit number and the sum of the digits of that number is 4:1 . If the digit in the unit place is 3 more than the digit in the ten's place, the number is
Correct Answer
C. 36
Explanation
Let's assume the two-digit number is represented as 10x + y, where x is the tens digit and y is the units digit. According to the given information, we have the equation (10x + y) / (x + y) = 4/1. Simplifying this equation, we get 10x + y = 4x + 4y. Since the units digit is 3 more than the tens digit, we can write y = x + 3. Substituting this into the previous equation, we have 10x + (x + 3) = 4x + 4(x + 3). Solving this equation, we find x = 3 and y = 6. Therefore, the two-digit number is 36.
33.
There are thirty plants of chiku, guava, sitafal, and mango in a row. There is one pair of mango plants after chikku, guava and mango, plants are followed by one chikku and one sitafal plants and soon on. If the row behinds if the plants of chiku, then which of the following will be in the last of the row?
Correct Answer
D. Sitafal
Explanation
Based on the given information, the plants are arranged in a specific pattern. After each pair of mango plants, there is one chikku and one sitafal plant. Since the row begins with chikku plants, the pattern will continue until the end. Therefore, the last plant in the row will be a sitafal plant.
34.
If in a certain code 'FUTURE' is coded as 671723. BEAUTIFUL as 938714675 then how is 'BUTTER' coded in that code ?
Correct Answer
C. 971132
Explanation
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.
35.
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?
Correct Answer
B. 166(2/3)
36.
"Close the window”. Passive voice of this sentence is
Correct Answer
A. Let the window be closed
Explanation
The correct answer is "Let the window be closed". This is the passive voice form of the sentence "Close the window". In passive voice, the subject of the sentence receives the action rather than performing it. In this case, the window is the subject and "be closed" is the action it receives. The phrase "Let the window be closed" suggests that someone is giving permission or allowing the window to be closed by someone else.
37.
' You have put a spoke in my wheel' means
Correct Answer
D. You have created obstacles for me
Explanation
The phrase "You have put a spoke in my wheel" is an idiomatic expression that means someone has created obstacles or hindered someone's progress or plans. It implies that the person has intentionally made it difficult for the speaker to achieve their goals or succeed in their endeavors.
38.
A: Would you mind changing your seat? [ ]
B: Yes I do.
Correct Answer
C. B is hesitant
Explanation
The correct answer is B is hesitant. This is because B responds with "Yes I do" when asked if they would mind changing their seat. This indicates that B does have a problem with changing their seat, suggesting hesitance or reluctance to do so.
39.
There are two rows of students such opposite of one another having fifteen students each. suchetha is middle in one of thus two rows while shamika is at the fourth position to the left of suchetha in the second row. If the row of shamika begins from the left then what is her position?
Correct Answer
C. Twelve
Explanation
In the given scenario, there are two rows of students facing each other, with fifteen students in each row. Suchetha is in the middle of one of the rows. Shamika is at the fourth position to the left of Suchetha in the second row. Since Shamika is in the second row and the row begins from the left, her position would be the twelfth student in that row.
40.
Present ages of teena and gourav are in the respective ratio 5 : 7.Five years hence the ratio of their ages becomes 3:4 respectively .What is teena’s present age ?
Correct Answer
C. 25
Explanation
The given information states that the present ages of Teena and Gourav are in the ratio of 5:7. This means that if we let Teena's age be 5x and Gourav's age be 7x, for some value of x, then we can represent their ages. It is also given that five years from now, the ratio of their ages will be 3:4. This means that Teena's age will be 5x + 5 and Gourav's age will be 7x + 5. Setting up the equation (5x + 5) / (7x + 5) = 3/4, we can solve for x. After finding the value of x, we can substitute it back into Teena's age to find her present age, which is 25.
41.
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
Correct Answer
D. GZXXNSJXX
42.
If ROSE is coded as 6821, CHAIR is coded as 73456 and PREACH is coded as 961473, what will be the code for SEARCH ?
Correct Answer
A. 214673
Explanation
The code for each letter in the word is determined by its position in the alphabet. For example, R is the 18th letter in the alphabet, so it is coded as 6. O is the 15th letter, so it is coded as 8. S is the 19th letter, so it is coded as 2. E is the 5th letter, so it is coded as 1. A is the 1st letter, so it is coded as 4. C is the 3rd letter, so it is coded as 7. H is the 8th letter, so it is coded as 3. I is the 9th letter, so it is coded as 4. Therefore, the code for SEARCH is 214673.
43.
Study the following table carefully to answer these questions .
Percentage of marks obtained by six different students in different subjects.
Subject
Commerce
Economics
Mathematics
English
History
Geography
Maximum Marks
75
100
100
120
50
50
A
70
71
78
65
88
84
68
75
86
80
82
76
C
76
78
82
73
78
86
D
82
58
81
60
74
68
E
86
64
87
76
70
82
F
62
82
95
55
86
62
Marks obtained by C in Economics is approximately what percent of the total marks obtained by him in all subjects together?
Correct Answer
B. 20
Explanation
The marks obtained by C in Economics is 78. The total marks obtained by C in all subjects together is 397 (76 + 78 + 82 + 73 + 78 + 86). To find the percentage, we divide the marks obtained in Economics by the total marks and multiply by 100. Therefore, the percentage is (78/397) * 100 = 19.64, which is approximately 20%.
44.
What is the sum of all numbers between 3100 and 5000 which are divisible by 563?
Correct Answer
D. 11823
Explanation
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.
45.
Find the total number of prime numbers contained in (15)^10 * (14)^12 * (62)^7.
Correct Answer
B. 58
Explanation
To find the total number of prime numbers contained in the expression (15)^10 * (14)^12 * (62)^7, we need to consider the prime factors of each number. The prime factors of 15 are 3 and 5, the prime factors of 14 are 2 and 7, and the prime factors of 62 are 2 and 31. Since the exponent of each prime factor in the expression is even, we can pair them up and multiply them together. Therefore, the total number of prime numbers in the expression is 2 * 2 * 2 = 8. However, we need to account for the fact that 2 is repeated three times, so we subtract 2 from the total. Therefore, the correct answer is 8 - 2 = 6.
46.
If A/3=B/4=C/5 , then A:B:C is:
Correct Answer
D. 3:4:5
Explanation
The given equation A/3 = B/4 = C/5 implies that the ratio of A to B is 3:4 and the ratio of B to C is 4:5. By transitive property, we can conclude that the ratio of A to C is also 3:4. Therefore, the ratio of A to B to C is 3:4:5.
47.
Two numbers 24345 and 22628 when divided a certain number X of 2 digits leaves the same remainder in each case. Find the number X.
Correct Answer
B. 17
Explanation
When two numbers are divided by a certain number and leave the same remainder, it means that the difference between the two numbers is divisible by that certain number. In this case, the difference between 24345 and 22628 is 1717, which is divisible by 17. Therefore, the number X must be 17.
48.
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.
Correct Answer
C. 930
Explanation
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.
49.
Evaluate [ 1/(1*2) + 1/(2*3) +..........+1/(n(n+1))]
Correct Answer
B. 1
Explanation
The expression is a sum of fractions where the denominator is the product of two consecutive numbers. As the value of n increases, the denominator becomes larger, causing the value of each fraction to decrease. However, since the numerators are all 1, the sum of these fractions will always be greater than 0. Therefore, the correct answer is 1.
50.
A began business with Rs.5000 and was later joined by B with Rs.6000. When did B join if the profits at the end of the year were divided in the ratio of 2:1
Correct Answer
C. 2 : 1
Explanation
Since the profits were divided in the ratio of 2:1, it means that for every 2 parts of profit that A gets, B gets 1 part. This implies that B joined the business after the profits were made, as B did not contribute any capital initially. Therefore, the correct answer is 2:1.