1.
In a bag of red and green sweets, the ratio of red sweets to green sweets is 3:4. If the bag contains 120 green sweets, how
many red sweets are there?
Correct Answer
E. 90
Explanation
The ratio of red sweets to green sweets is 3:4, which means that for every 3 red sweets, there are 4 green sweets. We are given that there are 120 green sweets, so we can set up the equation 3/4 = x/120, where x represents the number of red sweets. By cross-multiplying, we find that 4x = 360, and dividing both sides by 4 gives us x = 90. Therefore, there are 90 red sweets.
2.
Ravi buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is:
Correct Answer
B. 5 5/11%
Explanation
Ravi buys the scooter for Rs. 4700 and spends Rs. 800 on repairs, so his total cost is Rs. 5500. He sells the scooter for Rs. 5800. To find the gain percent, we need to calculate the gain as a percentage of the cost price. The gain is Rs. 5800 - Rs. 5500 = Rs. 300. The gain percent is (300/5500) * 100 = 5 5/11%.
3.
If the cost price of 20 articles is equal to the selling price of 16 articles, what is the percentage of profit or loss that the
merchant makes?
Correct Answer
C. 25% Profit
Explanation
The merchant makes a 25% profit because the selling price of 16 articles is equal to the cost price of 20 articles. This means that the selling price is higher than the cost price, resulting in a profit. To calculate the percentage of profit, we can use the formula: (Profit/Cost Price) * 100. In this case, the profit is 4 articles (20-16) and the cost price is 16 articles. So, (4/16) * 100 = 25%.
4.
A zookeeper counted the heads of the animals in a zoo and found it to be 80. When he counted the legs of the animals he
found it to be 260. If the zoo had either pigeons or horses, how many horses were there in the zoo?
Correct Answer
C. 50
Explanation
The zookeeper counted the heads of the animals, which gave him a count of 80. However, he also counted the legs of the animals, which totaled 260. Since horses have 4 legs, we can subtract the number of legs that would belong to pigeons (assuming they have 2 legs) from the total number of legs counted. This would give us the number of legs belonging to horses. Therefore, the difference between the total number of legs counted and the number of legs belonging to pigeons would be 260 - (2 * number of pigeons). This difference should be divisible by 4 since horses have 4 legs. The only option that satisfies this condition is 50, which means there are 50 horses in the zoo.
5.
There are 128 boxes in a room containing Oranges. Number of oranges in a box may be a number from 125 to 144. What is the minimum number of boxes that contain same number of oranges?
Correct Answer
D. 7
Explanation
To find the minimum number of boxes that contain the same number of oranges, we need to consider the smallest possible number of oranges in each box, which is 125. Since there are 128 boxes in total, the maximum number of different numbers of oranges in the boxes is 128. However, if we distribute the oranges evenly among the boxes, there will be 3 boxes left with 1 extra orange. Therefore, the minimum number of boxes that contain the same number of oranges is 128 - 3 = 125.
6.
If 20 men take 30 days to complete a job, how many days do 25 men need to complete the same job?
Correct Answer
A. 24
Explanation
If 20 men can complete a job in 30 days, it means that the total work required to complete the job is equal to 20 men working for 30 days. To find out how many days 25 men would take to complete the same job, we can use the concept of "man-days". The total work required is constant, so the product of the number of men and the number of days should remain the same. Therefore, 20 men working for 30 days is equivalent to 25 men working for x days. Solving for x, we get x = (20 * 30) / 25 = 24. Hence, 25 men would need 24 days to complete the same job.
7.
A can do a work W in 12 days, B can do the same work in 16 days. How many days are needed to complete the work, if both
A and B work together to complete the work?
Correct Answer
D. 6 6/7
Explanation
When A and B work together, their combined work rate is the sum of their individual work rates. A can complete 1/12 of the work in a day, while B can complete 1/16 of the work in a day. Therefore, their combined work rate is 1/12 + 1/16 = 7/48 of the work in a day. To find the number of days needed to complete the work, we can divide the total work (1) by their combined work rate (7/48). Simplifying this division gives us 48/7, which is equivalent to 6 6/7. Therefore, it will take 6 6/7 days for A and B to complete the work together.
8.
Barathi and Prakash can complete a work in 16 days and 9 days respectively. If they both work on alternate days starting with Barati, how long will it take for them to complete the work?
Correct Answer
E. 11 1/3
9.
Superheroes Krish and Shaktiman leave the same camp and run in opposite directions. Krish runs 1 mile per second (mps) and Shaktiman runs 2 mps. How far apart are they in miles after 1 hour?
Correct Answer
D. 10800 miles
Explanation
After 1 hour, Krish would have run 1 mile/second * 60 seconds/minute * 60 minutes = 3600 miles. Shaktiman would have run 2 miles/second * 60 seconds/minute * 60 minutes = 7200 miles. Therefore, the distance between them would be 7200 miles - 3600 miles = 3600 miles.
10.
A bus moving at 2/3rd of its normal speed reaches its destination an hour late. What is the usual time taken by the bus to
reach the destination?
Correct Answer
E. 2 hrs
Explanation
The bus is moving at 2/3rd of its normal speed and reaches its destination 1 hour late. This means that the bus took 1 hour longer than its usual time to reach the destination. Therefore, the usual time taken by the bus to reach the destination is 1 hour less than the time it took to reach the destination when moving at 2/3rd of its normal speed. So, the usual time taken by the bus to reach the destination is 2 hours.
11.
Katie must place five stuffed animals--a duck, a goose, a panda, a turtle and a swan in a row in the display window of a toy
store. How many different displays can she make if the duck and the goose must be either first or last?
Correct Answer
D. 12
Explanation
Katie has 5 stuffed animals that she needs to place in a row. Since the duck and the goose must be either first or last, there are two options for their placement. The remaining 3 animals (panda, turtle, and swan) can be arranged in 3! (3 factorial) ways. Therefore, the total number of different displays Katie can make is 2 * 3! = 2 * 3 * 2 * 1 = 12.
12.
A three-person committee must be chosen from a group of 7 professors and 10 graduate students. If at least one of the people on the committee must be a professor, how many different groups of people could be chosen for the committee?
Correct Answer
B. 560
Explanation
Out of the 17 people, there are 7 professors and 10 graduate students. Since at least one professor must be on the committee, we can choose one professor in 7 ways. The remaining two committee members can be either professors or graduate students. There are 16 remaining people to choose from, so we have 16 choices for the second committee member and 15 choices for the third committee member. Therefore, the total number of different groups of people that could be chosen for the committee is 7 * 16 * 15 = 560.
13.
How many four-digit numbers can you form using ten numbers (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) if the numbers can be used only
once?
Correct Answer
B. 4536
Explanation
The correct answer is 4536. To determine the number of four-digit numbers that can be formed using ten numbers (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) without repetition, we need to consider the number of choices for each digit. For the first digit, we have 9 choices (excluding 0). For the second digit, we have 9 choices (including 0 but excluding the digit chosen for the first digit). For the third digit, we have 8 choices (excluding the two digits chosen for the first and second digits). And for the fourth digit, we have 7 choices (excluding the three digits chosen for the first, second, and third digits). Thus, the total number of four-digit numbers is 9 x 9 x 8 x 7 = 4536.
14.
What is the probability that a card drawn at random from a deck of cards will be an ace?
Correct Answer
D. 1/13
Explanation
The probability of drawing an ace from a deck of cards can be calculated by dividing the number of aces in the deck (which is 4) by the total number of cards in the deck (which is 52). Therefore, the probability of drawing an ace is 4/52, which simplifies to 1/13.
15.
If a coin is tossed twice, what is the probability that on the first toss the coin lands heads and on the second toss the coin
lands tails?
Correct Answer
C. 1/4
Explanation
The probability of the coin landing heads on the first toss is 1/2, as there are two equally likely outcomes (heads or tails). Similarly, the probability of the coin landing tails on the second toss is also 1/2. To find the probability of both events occurring, we multiply the probabilities together: (1/2) * (1/2) = 1/4. Therefore, the probability that on the first toss the coin lands heads and on the second toss the coin lands tails is 1/4.
16.
Each problem consists of a problem followed by two statements. Decide whether the data in the statements are sufficient to answer the question. Select your answer according to whether:
(A) statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
(B) statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
(C) both statements taken together are sufficient to answer the question, but neither statement alone is sufficient
(D) each statement alone is sufficient
(E) statements 1 and 2 together are not sufficient, and additional data is needed to answer the question
What is the value of XY?
I. X to the power 2 = 4 II. Y to the power 2 = 9
Correct Answer
E. E
Explanation
The value of XY cannot be determined with the given information. Statement I tells us that X^2 = 4, which means X could be either 2 or -2. Statement II tells us that Y^2 = 9, which means Y could be either 3 or -3. Without knowing the values of X and Y, we cannot determine the value of XY. Therefore, both statements together are not sufficient to answer the question, and additional data is needed.
17.
Each problem consists of a problem followed by two statements. Decide whether the data in the statements are sufficient to answer the question. Select your answer according to whether:
(A) statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
(B) statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
(C) both statements taken together are sufficient to answer the question, but neither statement alone is sufficient
(D) each statement alone is sufficient
(E) statements 1 and 2 together are not sufficient, and additional data is needed to answer the question
Did the candidate X receive more than 40% of the 30,000 votes cast?
I. Candidate Y received 45% of the votes.
II. Candidate X received exactly 11,000 votes
Correct Answer
B. B
Explanation
Statement 1 alone does not provide any information about the number of votes received by Candidate X. Statement 2 alone provides the exact number of votes received by Candidate X, but it does not provide any information about the total number of votes cast. Therefore, statement 2 alone is sufficient to determine whether Candidate X received more than 40% of the votes.
18.
DOCTOR : HOSPITAL ::
Correct Answer
C. Professor : college
Explanation
The relationship between a doctor and a hospital is that a doctor works in a hospital. Similarly, a professor works in a college, making the pair "professor : college" the correct analogy.
19.
DALMATIAN : DOG ::
Correct Answer
A. Sparrow : bird
Explanation
The analogy "DALMATIAN : DOG :: sparrow : bird" follows the pattern of a specific type of animal being a subset of a more general category. A Dalmatian is a specific breed of dog, just as a sparrow is a specific type of bird. The other options do not follow this pattern. A horse is not a subset of a pony, a shark is not a subset of a great white, an ant is not a subset of an insect, and stock is not a subset of savings. Therefore, the correct answer is sparrow : bird.
20.
Find the next term of the series 6, 13, 27, 55 ?
Correct Answer
B. 111
Explanation
The given series follows a pattern where each term is obtained by multiplying the previous term by 2 and adding 1. Starting with 6, the next term is obtained by multiplying 6 by 2 and adding 1, which gives 13. Similarly, 13 is multiplied by 2 and 1 is added to get 27. Continuing this pattern, the next term would be obtained by multiplying 27 by 2 and adding 1, resulting in 55. Following the same pattern, the next term would be obtained by multiplying 55 by 2 and adding 1, which gives 111. Therefore, the next term in the series is 111.
21.
ZA5, Y4B, XC6, W3D, _____ ?
Correct Answer
D. VE7
Explanation
The pattern in the given sequence is that the first letter moves one step backward in the English alphabet, while the second letter moves one step forward. The number in between the letters represents the position of the letter in the alphabet. Applying this pattern, the missing term should have the first letter 'V' moving one step backward to 'U', the second letter 'E' moving one step forward to 'F', and the number '7' representing the position of the letter 'G' in the alphabet. Therefore, the missing term is VE7.
22.
The below statements are followed by two conclusions numbered (1) and (2).
You have to take the given two statements to be true even if they seem to be at variance from commonly known facts.
Read the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.
Statements: All the harmoniums are instruments. All the instruments are flutes.
Conclusions: (1) All the flutes are instruments. (2) All the harmoniums are flutes.
Correct Answer
B. Only 2 follows
Explanation
The given statements state that all harmoniums are instruments and all instruments are flutes. From these statements, we can conclude that all flutes are instruments because if all instruments are flutes, then all flutes must be instruments. However, we cannot conclude that all harmoniums are flutes because although all harmoniums are instruments, it is not stated that all instruments are harmoniums. Therefore, only conclusion 2 follows.
23.
The below statements are followed by two conclusions numbered (1) and (2).
You have to take the given two statements to be true even if they seem to be at variance from commonly known facts.
Read the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.
Statements: All green are blue. All blue are white.
Conclusions:
1. Some blue are green.
2. Some white are green.
3. Some green are not white.
4. All white are blue.
Correct Answer
A. Only 1 and 2 follows
Explanation
The given statements state that all green objects are blue and all blue objects are white. From these statements, we can conclude that some blue objects are green (conclusion 1) and some white objects are green (conclusion 2). This is because if all green objects are blue, then there must be some blue objects that are green. Similarly, if all blue objects are white, then there must be some white objects that are green. Therefore, only conclusions 1 and 2 logically follow from the given statements.
24.
Siva, Sathish, Amar and Praveen are playing cards. Amar is to the right of Sathish, who is to the right of Siva.
Who is to the right of Amar?
Correct Answer
A. Praveen
Explanation
Based on the given information, Siva is to the left of Sathish, who is to the left of Amar. Therefore, Praveen must be to the right of Amar.
25.
Six students are sitting in a circle facing towards the centre, Lew is sitting to the left of Florian, Christopher is sitting to the
right of Xian, Mars is sitting to right of Florian and left of Xian, Jennifer is sitting to right of Christopher. Who is sitting to
right of Jennifer?
Correct Answer
C. Lew
Explanation
Lew is sitting to the left of Florian, and Christopher is sitting to the right of Xian. Mars is sitting to the right of Florian and left of Xian. Jennifer is sitting to the right of Christopher. Therefore, the only person left to sit to the right of Jennifer is Lew.