1.
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, what was the son's age five years back?
Correct Answer
C. 14 years
Explanation
The father's age at the time of the son's birth was equal to the son's current age. If the father is currently 38 years old, then the son's current age is also 38. Therefore, five years ago, the son would have been 38 - 5 = 33 years old.
2.
Rahul is not wearing purple and Aman is not wearing black. Rahul and Sahel wear different colors. Avi alone wears green. What is Sahel’s color, if all four of them are wearing different colors?
Correct Answer
D. Can't Say
Explanation
The information given in the question does not provide any direct information about Sahel's color. We know that Rahul is not wearing purple and Aman is not wearing black, but we do not have any information about Sahel's color. Therefore, it is not possible to determine Sahel's color based on the given information.
3.
Find the odd man out. 30, -5, -45, -90, -145, -195, -255
Correct Answer
B. -145
Explanation
In the given sequence, all the numbers are decreasing by a certain pattern. Starting from 30, each subsequent number is obtained by subtracting a specific value. However, -145 does not follow this pattern. It should have been -200 according to the pattern. Therefore, -145 is the odd man out in this sequence.
4.
Three consecutive whole numbers are such that the square of the middle number is greater than the product of the other two by 1. Find the middle number.
Correct Answer
D. All of these
Explanation
The correct answer is "All of these" because any of the three consecutive whole numbers could satisfy the given condition. Let's consider the numbers 6, 7, and 8 as an example. The square of the middle number (7^2 = 49) is greater than the product of the other two numbers (6 * 8 = 48) by 1. Similarly, if we consider the numbers 18, 19, and 20, the condition is still satisfied. Therefore, there is more than one middle number that satisfies the given condition, hence "All of these" is the correct answer.
5.
Find the missing pattern - BOQD: ERTG:: ANPC : ?
Correct Answer
A. DQSF
Explanation
The given question follows a pattern where each letter in the first set is replaced by the corresponding letter in the second set, but in reverse order. In the first set, B is replaced by E, O by R, Q by T, and D by G. Following the same pattern, A in the second set will be replaced by D, N by Q, P by S, and C by F. Therefore, the missing pattern is DQSF.
6.
If HARD is coded as 1357 and SOFT is coded as 2468, what will 21448 stand for?
Correct Answer
C. SHOOT
Explanation
The given question follows a pattern where each letter in the word is assigned a number based on its position in the word. In the word "HARD", H is in the 1st position, A is in the 2nd position, R is in the 3rd position, and D is in the 4th position. Similarly, in the word "SOFT", S is in the 1st position, O is in the 2nd position, F is in the 3rd position, and T is in the 4th position. Applying the same pattern to the number 21448, we can determine that it corresponds to the word "SHOOT" where S is in the 1st position, H is in the 2nd position, O is in the 3rd position, and T is in the 4th position.
7.
Integer x = 40, y = 35, z = 20, w = 10
Comment about the output of the following two statements:
print x * y / z - w
print x * y / (z - w)
Correct Answer
A. Differ by 80
Explanation
The output of the first statement, "print x * y / z - w", is calculated as (40 * 35 / 20) - 10 = 70 - 10 = 60. The output of the second statement, "print x * y / (z - w)", is calculated as 40 * 35 / (20 - 10) = 40 * 35 / 10 = 140. Therefore, the two outputs differ by 80.
8.
A person wanted to withdraw X rupees and Y paisa from the bank. But cashier made a mistake and gave him Y rupees and X paisa. Neither the person nor the cashier noticed that. After spending 20 paisa, the person counts the money. And to his surprise, he has double the amount he wanted to withdraw.
Find X and Y. (1 Rupee = 100 Paisa)
Correct Answer
D. 26, 53
Explanation
When the person wanted to withdraw X rupees and Y paisa, the cashier mistakenly gave him Y rupees and X paisa. After spending 20 paisa, the person counts the money and realizes that he has double the amount he wanted to withdraw. This means that the person has (2X + 40) rupees and (2Y - 20) paisa. Since 1 rupee is equal to 100 paisa, we can convert the amount to paisa and set up an equation: 2X + 40 = 100X + 2Y - 20. Simplifying the equation, we get 98X - 2Y = 60. The only option that satisfies this equation is X = 26 and Y = 53.
9.
If A # B means A is father of B; A $ B means A is mother of B, A @ B means A is sister of B, then how is B related to X in X $ K # A @ B?
Correct Answer
D. Data Inadequate
10.
When 20342 and 20797 are divided by a divisor, the remainder obtained happens to be the same. Which of the following can be the divisor?
Correct Answer
B. 91
Explanation
When two numbers have the same remainder when divided by a divisor, it means that the difference between the two numbers is divisible by that divisor. In this case, the difference between 20342 and 20797 is 455. Since 455 is divisible by 91, it means that both 20342 and 20797 will have the same remainder when divided by 91. Therefore, 91 can be the divisor in this scenario.
11.
A motorcyclist rode the first half of his way at a constant speed. Then he was delayed for 5 minutes and, therefore, to make up for the lost time he increased his speed by 10 km/h. Find the initial speed of the motorcyclist if the total path covered by him is equal to 50 km.
Correct Answer
C. 50 kmph
Explanation
The initial speed of the motorcyclist is 50 kmph. Since the total path covered by the motorcyclist is 50 km, and he rode the first half of his way at a constant speed, it means that he covered 25 km at that speed. Then, he was delayed for 5 minutes, and to make up for the lost time, he increased his speed by 10 km/h. Therefore, he covered the remaining 25 km at a speed of 60 km/h (50 km/h + 10 km/h). So, the initial speed of the motorcyclist is 50 kmph.
12.
If a coin is tossed twice, what is the probability of getting at least one tail
Correct Answer
A. 0.75
Explanation
The probability of getting at least one tail when a coin is tossed twice can be calculated by finding the probability of getting no tails and subtracting it from 1. The probability of getting no tails in two tosses is (1/2) * (1/2) = 1/4. Therefore, the probability of getting at least one tail is 1 - 1/4 = 3/4 = 0.75.
13.
Two trains, one from P to Q and the other from Q to P, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is
Correct Answer
C. 4:3
Explanation
The ratio of their speeds can be determined by the ratio of the time taken to reach their destinations. The train from P to Q takes 9 hours to reach its destination while the train from Q to P takes 16 hours. Therefore, the ratio of their speeds is 9:16. Simplifying this ratio gives us 4:7.
14.
Bucket P has thrice the capacity as bucket Q. It takes 80 turns for bucket P to fill the empty drum. How many turns it will take for both the buckets P and Q, having each turn together to fill the empty drum?
Correct Answer
C. 60
Explanation
Since bucket P has thrice the capacity of bucket Q, it means that for every turn of bucket Q, bucket P will fill 3 times as much. If it takes 80 turns for bucket P to fill the drum, it means that bucket Q will take 80 * 3 = 240 turns to fill the drum. Therefore, if both buckets P and Q turn together, they will take a total of 80 + 240 = 320 turns to fill the empty drum. However, since the question asks for how many turns it will take for both buckets P and Q, it means that we need to divide the total turns by 2, resulting in 320 / 2 = 160 turns. Therefore, the correct answer is 160.
15.
Sobha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Correct Answer
A. 6 years
Explanation
Sobha's father was 38 years old when she was born, and her mother was 36 years old when her brother, who is four years younger than Sobha, was born. This means that the age difference between Sobha's parents is 2 years (38 - 36). Since her brother is four years younger than her, the age difference between her parents and her brother is 6 years. Therefore, the correct answer is 6 years.
16.
Statement: Should India develop a national water grid including all rivers of the country ?
Arguments:
I. No, it is not feasible because we do not have technological knowledge.
II. Yes, because where there is shortage of water ,it can be helped by channelized water flowing.
Correct Answer
B. Only argument II is strong.
Explanation
The correct answer is "Only argument II is strong." This is because argument II provides a valid reason for developing a national water grid in India. It states that a national water grid can help areas facing water shortage by channelizing water flow. However, argument I is not strong as it suggests that it is not feasible due to a lack of technological knowledge, which is not supported by any evidence or reasoning.
17.
Looking at a portrait of a man, Harsh said, "His mother is the wife of my father's son. Brothers and sisters I have none." At whose portrait was Harsh looking?
Correct Answer
C. His Son
Explanation
Harsh said, "His mother is the wife of my father's son." This means that the person in the portrait is the son of Harsh's father. Harsh also said, "Brothers and sisters I have none." This means that Harsh does not have any siblings. Therefore, the person in the portrait must be Harsh's son.
18.
Statement: The district administration has agreed to provide necessary infrastructural facilities to the proposed NRI-funded Trust's project of supply of clean water to city 'Z'.
Courses of action:
I. The district administration should provide necessary land to the trust by completing due formalities.
II. The district administration should facilitate obtaining electricity and other permission to the trust.
Correct Answer
E. Both courses of action follows.
Explanation
Both courses of action follow because they both suggest actions that the district administration should take in order to provide the necessary infrastructural facilities to the proposed NRI-funded Trust's project. Course of action I suggests that the district administration should provide necessary land to the trust by completing due formalities, which is essential for the project. Course of action II suggests that the district administration should facilitate obtaining electricity and other permission to the trust, which is also necessary for the project to be successful. Therefore, both actions are required to fulfill the objective of providing the necessary infrastructural facilities.
19.
Statement: The chairman of the car company announced in the meeting that all trials of its first product, the new car model 'M', are over and company plans to launch its car in the marked after six months.
Courses of action:
I. The network of dealers is to be finalized and all legal, financial and other matters in this connection will have to be finalized shortly.
II. The company will have to make plans for products other than the car.
III. The Material, managerial and other resources will have to be in fine tune to maintain production schedule.
Correct Answer
A. I and III only
Explanation
The announcement of the chairman indicates that the company is planning to launch its new car model in the market after six months. Therefore, it is necessary for the company to finalize the network of dealers and handle all legal, financial, and other matters related to it (Course of action I). Additionally, to maintain the production schedule and successfully launch the car, the company needs to ensure that the material, managerial, and other resources are in fine tune (Course of action III). However, there is no indication in the statement that the company needs to make plans for products other than the car (Course of action II). Therefore, the correct answer is I and III only.
20.
Statement: One of the problems facing the food processing industry is the irregular supply of raw material. The producers of raw material are not getting a reasonable price.
Courses of action:
I. The Government should regulate the supply of raw material to other industries also.
II. The Government should announce an attractive package to ensure regular supply of raw material for food processing industry.
Correct Answer
B. Only course of action II follows.
Explanation
The statement mentions that one of the problems facing the food processing industry is the irregular supply of raw material. Therefore, the course of action that suggests the government should announce an attractive package to ensure regular supply of raw material for the food processing industry directly addresses this problem. On the other hand, course of action I, which suggests that the government should regulate the supply of raw material to other industries, does not directly address the issue of irregular supply faced by the food processing industry. Hence, only course of action II follows.
21.
Statement: The price of crude oil in the international market has considerably risen due to the unanimous decision of OPEC members, to effect cut in crude oil production.
Courses of action:
I. Government of India should immediately increase the price of petroleum products.
II. The government should increase the crude oil production of the domestic oil wells.
III. The government should absorb by using resources in its oil pool.
Correct Answer
B. Only I and II follow
Explanation
The statement mentions that the price of crude oil in the international market has risen due to the unanimous decision of OPEC members to cut production. Based on this information, it can be inferred that the price of petroleum products in India would also increase. Therefore, Course of Action I, which suggests that the Government of India should immediately increase the price of petroleum products, is a valid response. Additionally, Course of Action II, which recommends increasing the crude oil production of domestic oil wells, is also a valid response as it would help to meet the demand for petroleum products domestically and potentially reduce reliance on imported oil.
22.
A gardener has to plant trees in rows containing equal number of trees. If he plants in rows of 6, 8, 10 or 12, then five trees are left unplanted. But if he plants in rows of 13 trees each, then no tree is left. What is the number of trees that the gardener plants?
Correct Answer
D. 845
Explanation
The gardener plants 845 trees. This can be determined by finding the least common multiple (LCM) of the numbers 6, 8, 10, and 12, which is 120. Since five trees are left unplanted when using rows of 6, 8, 10, or 12, the number of trees must be a multiple of 120 plus 5. The only option that satisfies this condition is 845.
23.
Two train each 500 m long, are running in opposite directions on parallel tracks. If their speeds are 45 km/hr and 30 km/hr respectively, the time taken by the slower train to pass the driver of the faster one is
Correct Answer
C. 24 sec
Explanation
The time taken by the slower train to pass the driver of the faster one can be calculated by considering the relative speed between the two trains. The relative speed is the sum of their individual speeds, which in this case is 45 km/hr + 30 km/hr = 75 km/hr.
To convert this speed to meters per second, we divide by 3.6: 75 km/hr Ã· 3.6 = 20.83 m/s.
The distance that the slower train needs to cover to pass the driver of the faster one is equal to the length of the faster train, which is 500 m.
Using the formula time = distance Ã· speed, we can calculate the time taken: 500 m Ã· 20.83 m/s = 24 seconds.
24.
A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw?
Correct Answer
A. 64
Explanation
To find the number of ways to draw 3 balls from the bag, we need to consider two cases: when exactly one black ball is drawn and when exactly two black balls are drawn.
Case 1: Exactly one black ball is drawn
There are 3 ways to choose which black ball to draw. After that, we need to choose 2 more balls from the remaining 8 balls (2 white, 2 black, and 4 red). This can be done in 8 choose 2 ways, which is 28. So, in this case, there are 3 x 28 = 84 ways.
Case 2: Exactly two black balls are drawn
There are 3 ways to choose which two black balls to draw. After that, we need to choose 1 more ball from the remaining 8 balls. This can be done in 8 choose 1 ways, which is 8. So, in this case, there are 3 x 8 = 24 ways.
Adding the number of ways from both cases, we get 84 + 24 = 108 ways. However, this count includes the case where all three balls are black, which is not allowed. So, we need to subtract 1 from the count.
Therefore, the total number of ways to draw 3 balls from the bag, with at least one black ball, is 108 - 1 = 107.
25.
The difference between a discount of 35% and two successive discounts of 20% and 20% on a certain bill was Rs. 22. Find the amount of the bill.(in rupess)
Correct Answer
C. 2200
Explanation
Let's assume the original amount of the bill is x rupees.
The first discount of 35% would be (35/100)*x = 0.35x rupees.
The two successive discounts of 20% and 20% would be (20/100)*x = 0.2x rupees each.
So, the total discount from the two successive discounts would be 0.2x + 0.2x = 0.4x rupees.
According to the question, the difference between the discount of 35% and the two successive discounts of 20% and 20% is 22 rupees.
Therefore, we can write the equation as 0.35x - 0.4x = 22.
Simplifying the equation, we get -0.05x = 22.
Dividing both sides by -0.05, we get x = 440.
Hence, the amount of the bill is 440 rupees.
Since 440 rupees is not one of the answer choices, the correct answer must be "Data Inadequate".
26.
Two taps A and B can fill a tank in 5 hours and 20 hours respectively. If both the taps are open then due to a leakage, it took 40 minutes more to fill the tank. If the tank is full, how long will it take for the leakage alone to empty the tank?
Correct Answer
C. 28 hr
Explanation
When tap A and tap B are open, they can fill the tank in 5 hours and 20 hours respectively. Let's assume that the tank has a capacity of 100 units. In one hour, tap A can fill 20 units (100/5) and tap B can fill 5 units (100/20). Therefore, in one hour, both taps together can fill 25 units (20+5). However, due to the leakage, it takes 40 minutes longer to fill the tank completely. This means that the effective filling rate is reduced by 40/60 = 2/3 units per hour. So, the effective filling rate is 25 - 2/3 = 73/3 units per hour. To find out how long it takes for the leakage alone to empty the tank, we divide the tank's capacity (100 units) by the leakage rate (73/3 units per hour), which gives us approximately 28 hours. Therefore, the correct answer is 28 hours.
27.
In how many different ways can the letters of the word 'JUDGE' be arranged such that the vowels always come together?
Correct Answer
C. 48
Explanation
The word 'JUDGE' has 5 letters, out of which 2 are vowels (U and E). When the vowels are always together, we can consider them as a single unit. Therefore, we have 4 units to arrange (J, D, G, and UE). The number of ways to arrange these 4 units is 4! = 24. However, within the vowels (UE), there are 2 letters that can be arranged in 2! = 2 ways. Therefore, the total number of arrangements is 24 * 2 = 48.
28.
If three numbers are in the ratio of 1 : 2 : 3 and half the sum is 18, then the ratio of squares of the numbers is
Correct Answer
C. 36:144:324
Explanation
The given question states that three numbers are in the ratio of 1:2:3. Let's assume the numbers to be x, 2x, and 3x. It is given that half the sum of these numbers is 18. Therefore, (x + 2x + 3x)/2 = 18. Solving this equation, we get x = 6. Hence, the three numbers are 6, 12, and 18. The ratio of the squares of these numbers is 36:144:324, which matches the correct answer.
29.
6:60 :: 120: ?
Correct Answer
E. 336
Explanation
In this analogy, the numbers on the left side are multiplied by 10 to get the numbers on the right side. For example, 6 x 10 = 60 and 120 x 10 = 1200. Following this pattern, 240 x 10 = 2400, 12 x 10 = 120, 48 x 10 = 480, and 210 x 10 = 2100. The only option that follows this pattern is 336 x 10 = 3360, which matches the given answer of 336.
30.
A train overtakes two persons who are walking in the same direction to that of the train at 2 Kmph and 4 Kmph and passes them completely in 9 and 10 seconds respectively. What is the length of the train?
Correct Answer
C. 50 m
Explanation
The train overtakes the first person in 9 seconds and the second person in 10 seconds. This means that the train is faster than both people. Let's calculate the speed of the train first. The difference in speed between the train and the first person is 2 Kmph, and it takes 9 seconds to overtake him. So, the train's speed is (2 Kmph * 9 seconds) / (60 minutes/hour * 60 seconds/minute) = 0.05 Kmps. Similarly, the difference in speed between the train and the second person is 4 Kmph, and it takes 10 seconds to overtake him. So, the train's speed is (4 Kmph * 10 seconds) / (60 minutes/hour * 60 seconds/minute) = 0.11 Kmps. Taking the average of these two speeds, we get the speed of the train as (0.05 Kmps + 0.11 Kmps) / 2 = 0.08 Kmps. Now, we can calculate the length of the train using the formula: Length = Speed * Time. Plugging in the values, we get Length = 0.08 Kmps * 9 seconds = 0.72 Km = 720 m. Therefore, the length of the train is 720 m, which is not given as an option. Since none of the options match the calculated length, the correct answer is not available.