Cat De Quant Test 48

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Quant Test 48

1. In a certain sequence, the first number P(1) = 1. Every subsequent number P(n) is equal to the previous number divided by 1 more than the previous number. What is the value of P(n)?

1/ n 1 / 2n –1 1 / 2n +1 1 / n+1 2 / n+1 Skip this question

2. Find the number of consecutive zeros at the end of the number S where,

245 195 210 147 160 Skip this question

3. If x + y + z = 1 and x, y, z are non-negative numbers, then what is the minimum possible value of the following expression: [2 – x + yz]– 1 + [2 – y + xz]–1 + [2 – z + xy]– 1.

27/16 25 / 9 38 / 25 3/2 12/ 5 Skip this question

4. Given f(x) is a function satisfying f(x + y) = f(x) × f(y) for all real values of x & y. If f(1) = 3 and f(1) + f(2) + f(3) ....+ f(n) = 1092, then find the value of n.

5 6 7 8 9 Skip this question Directions for Questions from 5 to 6: Answer the question on the basis of the information given below. When two unbiased dice are tossed simultaneously, the numbers that appear on the top surface of the two dice are ‘a’ and ‘b’.

5. What is the probability that (a × b) is a perfect square? 5/26 1/3 7/36 1/6 2/9

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6. What is the probability that ab is a perfect square?

1/2 2/3 23/36 11/18 5/13 Skip this question

7. Find the total number of points having integral coordinates inside the region enclosed by 2|x| + 3|y| = 18 in the X-Y plane. 111 103 107 102 88 Skip this question Directions for Questions from 8 to 9: Answer the question on the basis of the information given below. 150 persons attended a fair, where everyone played at least one of the games out of Mario, Nintendo and NFS. The price that a person paid for playing exactly one game, exactly two games and all the three games is $2, $3 and $5 respectively. It is also known that 40 persons played Mario, 90 persons played Nintendo and 145 persons played NFS.

8. What is the minimum possible amount that these 150 mentioned persons paid for playing the above mentioned games?

Rs.300 Rs.425 Rs.750 Rs.500 Rs.660 Skip this question

9. If 125 persons played atleast two games, then the number of persons that played only NFS cannot be less than

20 25 15 45 None of these Skip this question

10. Given that the product of two numbers AB and CD is a three digit number EEE, where A, B, C, D and E are distinct non zero digits. What is the sum of all the possible values of AB?

228 240 246 165 None of the these Skip this question

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