1. | By investing in 16% stock at 64, one earns Rs. 1500. The investment made is: | Answer: Option B Explanation: To earn Rs. | 50 | , investment = Rs. 64. | 3 |
To earn Rs. 1500, investment = Rs. | | 64 x | 3 | x 1500 | | = Rs. 5760. | 50 |
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2. | A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform? | Answer: Option B Explanation: Speed = | | 300 | | m/sec = | 50 | m/sec. | 18 | 3 |
Let the length of the platform be x metres. Then, | | x + 300 | | = | 50 | 39 | 3 |
3(x + 300) = 1950 x = 350 m. Learn more problems on : Problems on Trains Discuss about this problem : Discuss in Forum |
Direction (for Q.Nos. 3 - 4):
Insert the missing number. | 3. | 4, -8, 16, -32, 64, (....) | Answer: Option B Explanation: Each number is the proceeding number multiplied by -2. So, the required number is -128. Learn more problems on : Odd Man Out and Series Discuss about this problem : Discuss in Forum |
4. | 15, 31, 63, 127, 255, (....) | Answer: Option B Explanation: Each number is double the preceding one plus 1. So, the next number is (255 x 2) + 1 = 511. Learn more problems on : Odd Man Out and Series Discuss about this problem : Discuss in Forum |
Direction (for Q.No. 5):
Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. | 5. | If both the pipes are opened, how many hours will be taken to fill the tank? | I. | The capacity of the tank is 400 litres. | II. | The pipe A fills the tank in 4 hours. | III. | The pipe B fills the tank in 6 hours. |
| Answer: Option B Explanation: II. Part of the tank filled by A in 1 hour = | 1 | 4 |
III. Part of the tank filled by B in 1 hour = | 1 | 6 |
(A + B)'s 1 hour's work = | | 1 | + | 1 | | = | 5 | 4 | 6 | 12 |
A and B will fill the tank in | 12 | hrs = 2 hrs 24 min. | 5 |
So, II and III are needed. Correct answer is (B). Learn more problems on : Pipes and Cistern Discuss about this problem : Discuss in Forum |
6. | The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is: | Answer: Option B Explanation: Increase in 10 years = (262500 - 175000) = 87500. Increase% = | | 87500 | x 100 | % = 50%. | 175000 |
Required average = | | 50 | % = 5%. | 10 |
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Direction (for Q.No. 7):
Find out the wrong number in the given sequence of numbers. | 7. | 6, 13, 18, 25, 30, 37, 40 | Answer: Option D Explanation: The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5. So, 40 is wrong. Learn more problems on : Odd Man Out and Series Discuss about this problem : Discuss in Forum |
8. | How many times in a day, are the hands of a clock in straight line but opposite in direction? | Answer: Option B Explanation: The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o'clcok only). So, in a day, the hands point in the opposite directions 22 times. Learn more problems on : Clock Discuss about this problem : Discuss in Forum |
9. | A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1? | Answer: Option D Explanation: Suppose B joined for x months. Then, Then, | | 85000 x 12 | = | 3 | | 42500 x x | 1 |
x = | | 85000 x 12 | | = 8. | 42500 x 3 |
So, B joined for 8 months. Learn more problems on : Partnership Discuss about this problem : Discuss in Forum |
10. | Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments? | Answer: Option B Explanation: Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively. Then, 14x : 8y : 7z = 5 : 7 : 8. Now, | 14x | = | 5 | 98x = 40y y = | 49 | x | 8y | 7 | 20 |
And, | 14x | = | 5 | 112x = 35z z = | 112 | x = | 16 | x. | 7z | 8 | 35 | 5 |
x : y : z = x : | 49 | x | : | 16 | x | = 20 : 49 : 64. | 20 | 5 |
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Direction (for Q.No. 11):
Each of these questions is followed by three statements. You have to study the question and all the three statements given to decide whether any information provided in the statement(s) is redundant and can be dispensed with while answering the given question. | 11. | What will be the ratio between ages of Sam and Albert after 5 years? | I. | Sam's present age is more than Albert's present age by 4 years. | II. | Albert's present age is 20 years. | III. | The ratio of Albert's present age to Sam's present age is 5 : 6. |
| Answer: Option A Explanation: Clearly, any two of the given statements will give the answer and in each case, the third is redundant. Correct answer is (A). Learn more problems on : Problems on Ages Discuss about this problem : Discuss in Forum |
12. | In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there? | Answer: Option C Explanation: Let the number of 25 p, 10 p and 5 p coins be x, 2x, 3x respectively. Then, sum of their values = Rs. | | 25x | + | 10 x 2x | + | 5 x 3x | | = Rs. | 60x | 100 | 100 | 100 | 100 |
| 60x | = 30 | x = | 30 x 100 | = 50. | 100 | 60 |
Hence, the number of 5 p coins = (3 x 50) = 150. Learn more problems on : Ratio and Proportion Discuss about this problem : Discuss in Forum |
13. | The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero? | Answer: Option D Explanation: Average of 20 numbers = 0. Sum of 20 numbers (0 x 20) = 0. It is quite possible that 19 of these numbers may be positive and if their sum is a then 20th number is (-a). Learn more problems on : Average Discuss about this problem : Discuss in Forum |
Direction (for Q.No. 14):
Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. | 14. | What is Ravi's present age? | I. | The present age of Ravi is half of that of his father. | II. | After 5 years, the ratio of Ravi's age to that of his father's age will be 6 : 11. | III. | Ravi is 5 years younger than his brother. |
| Answer: Option A Explanation: I. Let Ravi's present age be x years. Then, his father's present age = 2x years. II. After 5 years, | Ravi's age | = | 6 | Father's age | 11 |
III. Ravi is younger than his brother. From I and II, we get | x + 5 | = | 6 | . This gives x, the answer. | 2x + 5 | 11 |
Thus, I and II together give the answer. Clearly, III is redundant. Correct answer is (A). Learn more problems on : Problems on Ages Discuss about this problem : Discuss in Forum |
Direction (for Q.No. 15):
Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and - Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
- Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
- Give answer(E) if the data in both Statements I and II together are necessary to answer the question.
| 15. | The area of a rectangle is equal to the area of right-angles triangle. What is the length of the rectangle? | I. | The base of the triangle is 40 cm. | II. | The height of the triangle is 50 cm. |
| Answer: Option D Explanation: Given: Area of rectangle = Area of a right-angles triangle. l x b = | 1 | x B x H | 2 |
I gives, B = 40 cm. II gives, H = 50 cm. Thus, to find l, we need b also, which is not given. Given data is not sufficient to give the answer. Correct answer is (D). Learn more problems on : Area Discuss about this problem : Discuss in Forum |
16. | Evaluate : | (2.39)2 - (1.61)2 | 2.39 - 1.61 |
| Answer: Option B Explanation: Given Expression = | a2 - b2 | = | (a + b)(a - b) | = (a + b) = (2.39 + 1.61) = 4. | a - b | (a - b) |
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18. | Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin? | Answer: Option D Explanation: Let Rahul's age be x years. Then, Sachin's age = (x - 7) years. | x - 7 | = | 7 | x | 9 |
9x - 63 = 7x 2x = 63 x = 31.5 Hence, Sachin's age =(x - 7) = 24.5 years. Learn more problems on : Problems on Ages Discuss about this problem : Discuss in Forum |
Direction (for Q.No. 19):
Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and - Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
- Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
- Give answer(E) if the data in both Statements I and II together are necessary to answer the question.
| 19. | How long will it take to empty the tank if both the inlet pipe A and the outlet pipe B are opened simultaneously? | I. | A can fill the tank in 16 minutes. | II. | B can empty the full tank in 8 minutes. |
| Answer: Option E Explanation: I. A's 1 minute's filling work = | 1 | 16 |
II. B's 1 minute's filling work = | 1 | 8 |
(A + B)'s 1 minute's emptying work = | | 1 | - | 1 | | = | 1 | 8 | 16 | 16 |
Tank will be emptied in 16 minutes. Thus, both I and II are necessary to answer the question. Correct answer is (E). Learn more problems on : Pipes and Cistern Discuss about this problem : Discuss in Forum |
20. | The banker's discount on Rs. 1600 at 15% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is: | Answer: Option B Explanation: S.I. on Rs. 1600 = T.D. on Rs. 1680. Rs. 1600 is the P.W. of Rs. 1680, i.e., Rs. 80 is on Rs. 1600 at 15%. Time = | | 100 x 80 | year | = | 1 | year = 4 months. | 1600 x 15 | 3 |
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| Marks : 0/20 | Total number of questions | : | 20 | Number of answered questions | : | 0 | Number of unanswered questions | : | 20 |
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