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Number System || DUJAT 2021 || 30 August

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Question 1

The sum of two numbers is 75 and their arithmetic mean is 25% higher than their geometric mean. Find the number.

Question 2

Find the maximum value of n such that 169! is perfectly divisible by 12ⁿ.

Question 3

What is the difference between the largest and smallest number made by using the digits of first 4 distinct odd prime numbers?

Question 4

4^{6+12+18+24+…+6x} = (0.0625)^-84, what is the value of x?

Question 5

How many zeroes will be there at the end of

Question 6

If 4^2x+1 - 65 × 4^x = -16, then x = ?

Question 7

find the value of x³ – 2x² – 7x + 5.

Question 8

Given √2 = 1.4142, find correct to three places of decimal the value of

Question 9

What can be the maximum value of |x – 1|, if |x²– 4| ≤ 5?

Question 10

The number of tuples (p, q, r) for which x⁴ + 4x³ – 2x² – 12x + 9 is identically equal to (px² + qx + r)² is

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Aug 30IPM, CUET & BBA Exams