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Quant Test 73
1. 10000! = (100!)K × P, where P and K ∈ I. What can be the maximum value of K?
j 97 k l m n j 102 k l m n j 103 k l m n j 104 k l m n j 107 k l m n i Skip this question j k l m n
2. In a survey, it was found that the number of students in the college has increased by 20% over the previous year. The number of boys has increased by 10%, whereas the number of girls has increased by 35%. Find out the present percentage of girls in the college
j 40 k l m n j 45 k l m n j 55 k l m n j 75 k l m n j 60 k l m n i Skip this question j k l m n
3. If P is a number having exactly two divisors, what is the remainder when (P – 2)! is divided by it?
j 1 k l m n j –1 k l m n j –6 k l m n j –5 k l m n j cannot be determined k l m n i Skip this question j k l m n
4. Two cars A and B, 1 km apart, are travelling in the same direction with speeds of 58 km/hr and 40 km/hr respectively. What will be the distance (in m) between them 15 seconds before A collides with B?
j 25 m k l m n j 5m k l m n j 75 m k l m n j 80 m k l m n j 60 m k l m n i Skip this question j k l m n
5. If m is an integer, how many values of m are possible for which m4 – 20m2 + 4 is a prime number?
j 0 k l m n j 1 k l m n j 2 k l m n j 3 k l m n j more than 3 k l m n
i Skip this question j k l m n
6. If p, q, r, and s are four positive real numbers, the minimum value of
j 1 k l m n j 2 k l m n j 2 sqrt(2) k l m n j 4 k l m n j 5 k l m n i Skip this question j k l m n
7.
j 0 k l m n j 1 k l m n j 2 k l m n j 3 k l m n j 4 k l m n i Skip this question j k l m n
8. If N = 10008 – 8, what is the sum of its digits?
j 200 k l m n j 207 k l m n j 208 k l m n j 209 k l m n j 175 k l m n i Skip this question j k l m n
9. If log36 5 = a and log30 3 = b, log83 0 =
j 3(1 – a – b) k l m n j 1/3(1- a- b) k l m n j 3/(1- a- b) k l m n j (1− a − b)/3 k l m n j None k l m n i Skip this question j k l m n
10. P = 73n – 3 5n , when n is a positive integer. Which of the following would always divide P?
j 100 k l m n j 150 k l m n j 225 k l m n j 250 k l m n j 175 k l m n i Skip this question j k l m n
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