Cat De Quant Test 44

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Quant Test 44

1. A function f is defined for all natural numbers n≥2 as f(n) = (1–1/n) f(n – 1) If f(1) = 1, then what is the value of 1/f(1) + 1/ f(2) + 1/ f(3) + ...... 1/ f(9) ?

45 54 81 36 None of these Skip this question

2. A two-digit number N is ‘q’ times the sum of its digits. A two-digit number formed by reversing the digits of N is ‘p’ times the sum of the digits. Which of the following is equal to ‘p’?

(9 – q) (q + 1) (11 – q) (q – 1) (10 – q) Skip this question

3. The height of an apple tree is given by the sum of two terms. The first term is directly proportional to the weight of the tree and the second term is directly proportional to the square of the weight of the tree. The height of the tree was 6 m and 8 m, when its weight was 40 kg and 50 kg respectively. Find the approximate weight of the tree when its height was 5 m.

39 44 25 35 32 Skip this question

4. Sum of the first 30 terms of an arithmetic progression is 0. If the first term is –29, then find the sum of the 28th, 29th and 30th terms of this arithmetic progression.

81 84 –84 –81 None of these Skip this question

5. A dice is rolled three times. Find the probability of getting a larger number than previous number each time.

5 54 7 54 11 54 13 54 17 54 Skip this question

6. I cut a piece of paper in four equal parts. Now, I cut exactly one out of these four parts into four equal parts. Now, again if I keep on repeating the same process for infinite number of times, then which of the following can be the number of parts of paper at any instant of time?

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2048 2049 2050 2051 2052 Skip this question Directions for Questions from 7 to 8: Answer the questions on the basis of information given below. A container is having 30 L of pure milk. In the first operation, 10 L of it is flushed away and replaced with 20 L of water. Again in the second operation, 10 L of resulting solution is flushed away and replaced with 20 L of water. In this process, ‘n’ such operations are carried out.

7. What is the ratio of quantity of water to milk after 10 such operations?

25 : 1 20 : 1 25 : 2 15 : 2 40 : 3 Skip this question

8. What is the volume of pure milk (in litres) in the container after (n – 1) such operations? 30/(n+2) 60/(n+2) 30/(n+1) 30n/(n*n -3n +2) 60/(n+1) Skip this question

9. In the figure given below, ABOP is a rectangle and O is the centre of the circle. It is also given that AB = BC and the measure of the angle ∠ABC is 60°. Find the measure of the angle ∠OPN.

30 15 20 25 35 Skip this question

10. Tania prepares for the CAT examination by practicing for 100 days. On any of these 100 days she does not solve more than 20 questions. If on any day, she solves more than 12 questions, then she solves at most 6 questions each on the next two days. What is the maximum possible number of questions that she can solve over the period of 100 days?

1200 1208 1220 960 1240 Skip this question

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