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. Since we know that there are 120 green sweets, we can use this ratio to find the number of red sweets. We can set up a proportion: 3/4 = x/120, where x represents the number of red sweets. Cross-multiplying gives us 4x = 3*120, which simplifies to 4x = 360. 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 bought the scooter for Rs. 4700 and spent 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 cost price of 20 articles is equal to the selling price of 16 articles. This means that the merchant is selling 16 articles for the same amount that they bought 20 articles for. Since the selling price is higher than the cost price, there is a profit. To find the percentage of profit, we can calculate the difference between the selling price and the cost price, which is 20 - 16 = 4 articles. This profit of 4 articles is 25% of the cost price of 16 articles. Therefore, the merchant makes a 25% profit.
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 and found it to be 80. This means that there are 80 animals in the zoo. When he counted the legs of the animals, he found it to be 260. Since horses have 4 legs, the number of horses can be calculated by dividing the total number of legs by 4. 260 divided by 4 equals 65. However, since the zoo also has pigeons, the number of horses is less than 65. Therefore, the correct answer is 50.
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
The minimum number of boxes that contain the same number of oranges can be found by dividing the total number of oranges (128) by the maximum number of oranges in a box (144). This calculation gives us a quotient of 0.8888, which means that it is not possible to have a whole number of boxes with the same number of oranges. However, if we round down to the nearest whole number, we get 0. This means that there are 0 boxes with the same number of oranges. Therefore, the minimum number of boxes that contain the same number of oranges is 0.
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 take 30 days to complete a job, it means that the total man-days required to complete the job is 20 * 30 = 600. Since the amount of work remains the same, if there are 25 men, they would need fewer days to complete the job. To find out how many days, we divide the total man-days (600) by the number of men (25), which gives us 24 days. Therefore, 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
A can complete 1/12th of the work in a day, while B can complete 1/16th of the work in a day. When they work together, they can complete 1/12 + 1/16 = 7/48th of the work in a day. To find the number of days needed to complete the work, we can take the reciprocal of 7/48, which is 48/7. This can be simplified to 6 6/7, indicating that it will take them 6 6/7 days to complete the work together.
8.
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/hour = 3600 miles. Similarly, Shaktiman would have run 2 miles/second * 60 seconds/minute * 60 minutes/hour = 7200 miles. Since they are running in opposite directions, the distance between them would be the sum of their distances, which is 3600 miles + 7200 miles = 10800 miles.
9.
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 an hour late. This means that it took the bus an extra hour to cover the distance compared to its normal time. If the bus had been moving at its normal speed, it would have taken the usual time to reach the destination, which is 2 hours.
10.
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 five stuffed animals to place in a row in the display window. The duck and the goose must be either first or last, which means there are two possible positions for them. Once the duck and the goose are placed, there are 3 remaining animals to arrange in the remaining 3 positions. The number of ways to arrange these 3 animals is 3!, which is equal to 6. Therefore, the total number of different displays Katie can make is 2 (positions for the duck and the goose) multiplied by 6 (arrangements of the remaining animals), which equals 12.
11.
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, we need to choose a committee of three people with at least one professor. We can calculate this by subtracting the total number of committees without any professors from the total number of committees. The total number of committees without any professors can be calculated by choosing 3 people from the 10 graduate students, which is 10 choose 3. The total number of committees can be calculated by choosing 3 people from the 17 total people, which is 17 choose 3. Therefore, the number of committees with at least one professor is 17 choose 3 - 10 choose 3, which simplifies to 560. So, the correct answer is 560.
12.
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
There are 10 options for the first digit, 9 options for the second digit, 8 options for the third digit, and 7 options for the fourth digit. Therefore, the total number of four-digit numbers that can be formed is 10 x 9 x 8 x 7 = 5040. However, since the numbers can only be used once, we need to subtract the cases where the first digit is 0. There are 9 options for the first digit (excluding 0), and the remaining digits can be chosen in the same way as before. So, the total number of four-digit numbers that can be formed is 9 x 9 x 8 x 7 = 4536.
13.
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 found by dividing the number of aces in the deck (4) by the total number of cards in the deck (52). Therefore, the probability is 1/13.
14.
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, since 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 happening together, we multiply the probabilities: (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.
15.
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 answer "professor : college" the correct choice.
16.
DALMATIAN : DOG ::
Correct Answer
A. Sparrow : bird
Explanation
The relationship between Dalmatian and dog is that Dalmatian is a type or breed of dog. Similarly, the relationship between sparrow and bird is that sparrow is a type or species of bird.
17.
Find the next term of the series 6, 13, 27, 55 ?
Correct Answer
B. 111
Explanation
The given series follows a pattern of adding consecutive odd numbers to the previous term. Starting with 6, we add 7 (1st odd number) to get 13, then add 9 (2nd odd number) to get 27, and so on. Therefore, to find the next term, we add 11 (3rd odd number) to 55, resulting in 66. However, none of the options provided match this result. Therefore, the correct answer cannot be determined based on the given options.
18.
ZA5, Y4B, XC6, W3D, _____ ?
Correct Answer
D. VE7
Explanation
The pattern in the given sequence is that the first letter of each group is in reverse alphabetical order, while the second letter follows the alphabetical order. The third character is a number that increases by 1 with each group, and the fourth character is the same as the second character but in reverse order. Applying this pattern, the next group should start with the letter "E", followed by the letter "V", the number "7", and the letter "E" in reverse order. Therefore, the correct answer is VE7.
19.
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, Amar is to the right of Sathish, who is to the right of Siva. Since there is no one mentioned to the right of Amar, the only option left is Praveen. Therefore, Praveen is to the right of Amar.
20.
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. 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.
21.
If 5 litres of water is added to a mixture that contains water and milk in the ratio 3:4, then the ratio becomes 5:4. Find the quantity of milk in the given mixture.
Correct Answer
A. A)10litres
Explanation
When 5 liters of water is added to the mixture, the ratio of water to milk becomes 5:4. This means that the quantity of water has increased by 5 liters, while the quantity of milk remains the same. Since the original ratio of water to milk is 3:4, the quantity of water in the original mixture is 3/7 of the total quantity, and the quantity of milk is 4/7 of the total quantity. If the quantity of water increases by 5 liters, it becomes 5/12 of the total quantity, and the quantity of milk remains 4/12 of the total quantity. Simplifying this, we find that the quantity of milk in the original mixture is 10 liters. Therefore, the correct answer is a) 10 liters.
22.
In a forest, the ratio of lions to tigers is 31 : 23 respectively. When 75 more tigers added the ratio becomes 124 : 107. How many more tigers should be added to make the number of lions and tigers equal?
Correct Answer
A. A)160
23.
A bike at a speed of 60km/hr, it covers certain distance in 3 hours and the train can cover the same distance in 1 and half hours then the speed of train is
Correct Answer
B. B)120km/hr
Explanation
The bike covers a certain distance in 3 hours at a speed of 60km/hr, which means it covers a distance of 180km (60km/hr * 3hr = 180km). The train can cover the same distance in 1 and a half hours, which means it covers a distance of 180km (180km / 1.5hr = 120km/hr). Therefore, the speed of the train is 120km/hr.
24.
A train of length 150 meters can cross a bridge in 40 seconds when travelling at a speed of 40km/hr. Then what is the length of the bridge?
Correct Answer
B. 183
Explanation
If the train of length 150 meters takes 40 seconds to cross the bridge, it means that the total distance covered by the train and the bridge is 150 meters. To calculate the length of the bridge, we need to subtract the length of the train from the total distance covered. Since the train is 150 meters long, the length of the bridge would be 150 meters more than the total distance covered, which is 150 + 150 = 300 meters. Therefore, the correct answer is 183 meters.
25.
A train overtakes two bikes which are travelling at the speed of 25km/hr and 30km/hr in the same direction the train is moving and crosses them in 18 and 21 seconds respectively. Then the length of the train is:
Correct Answer
B. 175 m
Explanation
The train overtakes the first bike in 18 seconds and the second bike in 21 seconds. This means that the train is able to cover the distance between the two bikes in 3 seconds (21 - 18 = 3 seconds).
In 3 seconds, the first bike travels a distance of 25 km/hr * (3/3600) hr = 0.2083 km.
In 3 seconds, the second bike travels a distance of 30 km/hr * (3/3600) hr = 0.25 km.
Therefore, the length of the train is the difference between the distances covered by the train and the second bike, which is 0.25 km - 0.2083 km = 0.0417 km = 41.7 m.
Since the train overtakes both bikes, its length must be greater than 41.7 m. The closest option is 175 m.
26.
Two times of the third of three consecutive even integers is three times of the first. Then the second integer is
Correct Answer
C. 10
Explanation
Let's assume the three consecutive even integers are x, x+2, and x+4. According to the given information, 2 times the third integer (2(x+4)) is equal to 3 times the first integer (3x). Simplifying this equation, we get 2x + 8 = 3x. By subtracting 2x from both sides, we find that 8 = x. Therefore, the second integer (x+2) is equal to 8+2 = 10.
27.
Bala buys an equal number of pens, pencils, sketch pens of Rs.2.50, Rs.3, Rs.5 respectively. How many of each did he buy if he spends Rs.168
Correct Answer
B. 16
Explanation
Bala spends a total of Rs.168 and buys an equal number of pens, pencils, and sketch pens. Let's assume he buys x number of each. The cost of x pens would be 2.50x, the cost of x pencils would be 3x, and the cost of x sketch pens would be 5x. Since the total cost is Rs.168, we can set up the equation 2.50x + 3x + 5x = 168. Combining like terms, we get 10.50x = 168. Dividing both sides by 10.50, we find that x = 16. Therefore, Bala buys 16 pens, 16 pencils, and 16 sketch pens.
28.
Prabha and Aarthi paid a total of Rs.600 for some good. If Prabha paid 120 more than that of Aarthi, then how much is already paid?
Correct Answer
D. 240
Explanation
Prabha paid Rs.240 and Aarthi paid Rs.120. The total amount they paid is Rs.360. Since Prabha paid Rs.120 more than Aarthi, the remaining amount that Prabha paid is Rs.240.
29.
The average weight of P and Q is 50kg. The average weight of Q and R is 62kg and the average weight of P and R is 52kg. Then the weight of P is:
Correct Answer
B. 40
Explanation
Let the weight of P be x, the weight of Q be y and the weight of R be z. From the given information, we can set up the following equations: (x + y)/2 = 50, (y + z)/2 = 62, and (x + z)/2 = 52. Solving these equations, we find that x = 40. Therefore, the weight of P is 40kg.
30.
Subha and her friend invested in the ratio 5 : 3 in a business. If 4% of the profit is given to charity and Subha's share is Rs.1,200 then what will be the total profit ?
Correct Answer
B. Rs.2000
Explanation
Subha's share is given as Rs.1,200. Since Subha's share is 5 parts out of a total of 8 parts (5 + 3), we can calculate the total profit by finding the value of 1 part and then multiplying it by 8. To find the value of 1 part, we divide Rs.1,200 by 5. This gives us Rs.240, which is the value of 1 part. Multiplying Rs.240 by 8 gives us the total profit, which is Rs.1,920. However, 4% of the profit is given to charity, so we need to subtract 4% of Rs.1,920 from the total profit. 4% of Rs.1,920 is Rs.76. Subtracting Rs.76 from Rs.1,920 gives us a final total profit of Rs.1,844. Since this value is not listed as an option, the closest option is Rs.2,000. Therefore, the correct answer is Rs.2,000.