1.
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
Correct Answer
B. 3 : 2
Explanation
The ratio of the speeds of the two trains can be determined by comparing the time it takes for them to cross the man on the platform. Since the trains are running in opposite directions, their relative speed is the sum of their individual speeds. Let's assume the speed of the first train is x and the speed of the second train is y. From the given information, we can set up the following equations:
x + y = 1/27 (since the first train takes 27 seconds to cross the man)
x + y = 1/17 (since the second train takes 17 seconds to cross the man)
x + y = 1/23 (since the trains take 23 seconds to cross each other)
By solving these equations, we find that the ratio of x to y is 3:2. Therefore, the correct answer is 3:2.
2.
The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:
Correct Answer
C. 16
Explanation
If the cost price of 20 articles is equal to the selling price of x articles, it means that the selling price of each article is 20/x times the cost price. Since the profit is 25%, the selling price must be 1.25 times the cost price. Setting up an equation, we have 1.25 * cost price = 20/x * cost price. Simplifying this equation, we get 1.25 = 20/x. Cross multiplying, we find that x = 20/1.25 = 16. Therefore, the value of x is 16.
3.
A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :
Correct Answer
D. 8/15
Explanation
A can complete 1/15th of the work in a day and B can complete 1/20th of the work in a day. In 4 days, A completes 4/15th of the work and B completes 4/20th of the work. Together, they complete 4/15 + 4/20 = 16/60 + 12/60 = 28/60 = 7/15th of the work in 4 days. Therefore, the fraction of work left is 1 - 7/15 = 8/15.
4.
Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After further 8 years, how many times would he be of Ronit's age?
Correct Answer
A. 2 times
Explanation
The father is currently three times older than Ronit. After 8 years, the father's age will be two and a half times Ronit's age. This means that the father's age is currently two times Ronit's age. Therefore, after a further 8 years, the father's age will still be two times Ronit's age.
5.
In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:
Correct Answer
A. 21/46
Explanation
The probability of selecting 1 girl and 2 boys can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, the number of ways to select 1 girl from 10 girls is 10C1 and the number of ways to select 2 boys from 15 boys is 15C2. The total number of ways to select 3 students from a class of 25 is 25C3. Therefore, the probability is (10C1 * 15C2) / 25C3, which simplifies to 21/46.
6.
In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
Correct Answer
C. 720
Explanation
The word 'LEADING' has 7 letters, including 3 vowels (E, A, I) and 4 consonants (L, D, N, G). To arrange the letters in such a way that the vowels always come together, we can treat the group of vowels (EAI) as a single entity. This reduces the problem to arranging the 5 entities (EAI, L, D, N, G) in a line. The number of ways to arrange these entities is 5!, which is equal to 120. However, within the group of vowels, the vowels (EAI) can be arranged among themselves in 3! ways. Therefore, the total number of arrangements is 5! * 3!, which equals 720.
7.
A and B together have Rs. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?
Correct Answer
B. Rs. 484
Explanation
Let's assume that A has x amount of money and B has y amount of money. According to the given information, we can form the equation: (4/15)x = (2/5)y. Simplifying this equation, we get: x = (15/4)(2/5)y = (3/2)y. Now, we know that x + y = 1210. Substituting the value of x in terms of y, we get: (3/2)y + y = 1210. Combining like terms, we have: (5/2)y = 1210. Solving for y, we find that y = (2/5)(1210) = 484. Therefore, B has Rs. 484.
8.
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
Correct Answer
A. 4
Explanation
The greatest number that will divide 43, 91, and 183 and leave the same remainder in each case is 4. This means that when we divide each of these numbers by 4, the remainder will be the same. We can confirm this by dividing each number by 4: 43 divided by 4 equals 10 remainder 3, 91 divided by 4 equals 22 remainder 3, and 183 divided by 4 equals 45 remainder 3. Since the remainder is the same in each case, 4 is the correct answer.
9.
In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?
Correct Answer
B. 7:3
Explanation
To find the ratio in which the two varieties of pulses should be mixed, we can set up the following equation:
(15x + 20y) / (x + y) = 16.50
Where x represents the ratio of the first variety and y represents the ratio of the second variety.
Simplifying the equation, we get:
15x + 20y = 16.50(x + y)
Multiplying through by 100 to eliminate decimals, we have:
1500x + 2000y = 1650x + 1650y
150x = 650y
Dividing both sides by 650, we get:
x/y = 7/3
Therefore, the correct answer is 7:3.
10.
A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
Correct Answer
C. 700 apples
Explanation
If the fruit seller sells 40% of his apples and still has 420 apples, it means that 60% of the apples he originally had equal 420 apples. To find the original number of apples, we can set up the equation: 60% of x = 420. Solving for x, we divide 420 by 0.6, which gives us 700 apples. Therefore, the correct answer is 700 apples.
11.
Choose the word which best expresses the meaning of the given word: VORACIOUS
Correct Answer
B. Greedy
Explanation
The word "voracious" means having a very eager or insatiable appetite. Similarly, the word "greedy" also refers to a strong desire for more than what is needed or deserved. Therefore, "greedy" is the word that best expresses the meaning of "voracious".
12.
In the question below, choose the word which is the exact OPPOSITE of the given word: GULLIBLE
Correct Answer
B. Cynical
Explanation
The word "gullible" refers to someone who is easily deceived or fooled. The word "cynical" means being skeptical or distrustful of others' motives or sincerity. Therefore, "cynical" is the exact opposite of "gullible" as it represents a lack of trust or belief in others.
13.
Select one or more options:Q) Despite his best efforts to conceal his anger ___
Correct Answer
A. He could succeed in doing it easily
Explanation
Despite his best efforts to conceal his anger, he could succeed in doing it easily. This means that the person was able to hide his anger effectively, despite trying his best to conceal it.
14.
In question given below, a part of the sentence is italicised and underlined. Below are given alternatives to the italicised part which may improve the sentence. Choose the correct alternative.If the room had been brighter, I would have been able to read for a while before bed time.
Correct Answer
C. Had the room been brighter
Explanation
The correct answer is "Had the room been brighter". This alternative improves the sentence by using the correct verb tense in the conditional clause. In the original sentence, "had been" is used to indicate the past perfect tense, which is appropriate in this context. The other alternatives ("If the room was brighter" and "If the room are brighter") use the incorrect verb tense and do not match the conditional structure of the sentence.
15.
In question below, each passage consist of six sentences. The first and sixth sentence are given in the begining. The middle four sentences in each have been removed and jumbled up. These are labelled as P, Q, R and S. Find out the proper order for the four sentences.S1: Calcutta unlike other cities kept its trams.P: As a result there horrendous congestion.Q: It was going to be the first in South Asia.R: They run down the center of the road.S: To ease in the city decided to build an underground railway line.S6: The foundation stone was laid in 1972.
Correct Answer
D. RPSQ
Explanation
The correct order of the four sentences is RPSQ. The passage is about Calcutta's trams and the decision to build an underground railway line to ease congestion. Sentence R states that the trams run down the center of the road, which sets the context for the following sentences. Sentence P mentions the horrendous congestion caused by the trams, indicating the need for a solution. Sentence S introduces the decision to build an underground railway line. Finally, sentence Q states that Calcutta was going to be the first city in South Asia to have an underground railway line. Sentence S6 mentions the year when the foundation stone was laid, providing a conclusion to the passage.
16.
Look carefully for the pattern, and then choose what number comes next.19, 2, 38, 3, 114, 4
Correct Answer
D. 456
Explanation
The pattern in the given sequence is that each number is obtained by multiplying the previous number by a certain factor and then adding a constant. In this case, the pattern seems to be multiplying the previous number by 19 and then adding 1. For example, 2 * 19 + 1 = 38, 3 * 19 + 1 = 58. Following this pattern, the next number would be 4 * 19 + 1 = 77. However, this number is not among the answer choices. Therefore, the closest option that follows the pattern is 4 * 19 + 1 = 76, which is not among the answer choices. As a result, the correct answer is 456, which does not follow the pattern and may suggest an error in the question.
17.
Look carefully at the sequence of symbols to find the pattern. Select correct pattern.
Correct Answer
C. Option 3
18.
In the following question, two statements are given and these 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.Give answer:- (A) If only (1) conclusion follows
- (B) If sonly (2) conclusion follows
- (C) If either (1) or (2) follows
- (D) If neither (1) nor (2) follows and
- (E) If both (1) and (2) follow.
STATEMENT: Some actors are singers. All the singers are dancers.CONCLUSIONS:1. Some actors are dancers.2. No singer is actor.
Correct Answer
A. Only (1) conclusion follows
Explanation
The first statement states that some actors are singers, and the second statement states that all singers are dancers. From these statements, we can conclude that there must be some actors who are also dancers, as some actors are singers and all singers are dancers. However, we cannot conclude that no singer is an actor, as there is no information given about the relationship between singers and actors. Therefore, only conclusion (1) follows.
19.
If A + B means A is the brother of B; A - B means A is the sister of B and A x B means A is the father of B. Which of the following means that C is the son of M?
Correct Answer
D. M x N - C + F
Explanation
The given expression "M x N - C + F" means that M is the father of N, N is the brother of C, and F is the sister of C. Therefore, C is the son of M.
20.
Rahul put his timepiece on the table in such a way that at 6 P.M. hour hand points to North. In which direction the minute hand will point at 9.15 P.M. ?
Correct Answer
D. West
Explanation
At 6 P.M., the hour hand points to the North. From 6 P.M. to 9 P.M., the hour hand will move towards the right, indicating the passage of time. At 9 P.M., the hour hand will be pointing towards the East. The minute hand, on the other hand, moves faster than the hour hand. So, at 9 P.M., the minute hand will be pointing towards the South. As the minute hand moves clockwise, at 9.15 P.M., it will continue to move towards the South. Therefore, the minute hand will point towards the West at 9.15 P.M.