Category: Insights

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There is no excerpt because this is a protected post.

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Sum of three Natural numbers a, b and c is 10. How many ordered triplets (a, b, c) exist? 45 36 54 28 Sum of three Whole numbers a, b and c…

Second term of a GP is 1000 and the common ratio is r = 1/nwhere n is a natural number. Pnis the product of n terms of this GP. P6 > P5 and…

How many pairs of integer (a, b) are possible such that a2– b2 = 288? 6 12 24 48 Solve the inequality x3– 5x2 + 8x – 4 > 0. (2,∞∞) (1,…

How many positive integer values can x take that satisfy the inequality (x – 8) (x – 10) (x – 12)…….(x – 100) < 0? 25 30 35 40 Solve…

How many onto functions can be defined from the set A = {1, 2, 3, 4} to {a, b, c}? 81 79 36 45 Find the maximum value of f(x);…

3x + 4|y| = 33. How many integer values of (x, y) are possible? 6 3 4 More than 6 (|x| – 3) (|y| + 4) = 12. How many…

3sinx + 4cosx + r is always greater than or equal to 0. What is the smallest value ‘r’ can to take? 5 -5 4 3 Sin2014x + Cos2014x =…

A right circular cone has height H and radius R. A small cone is cut off at the top by a plane parallel to the base. At what height above…

Set S contains points whose abscissa and ordinate are both natural numbers. Point P, an element in set S has the property that the sum of the distances from point…

x, y, z are integer that are side of an obtuse-angled triangle. If xy = 4, find z. 2 3 1 More than one possible value of z exists How…

Set Fn gives all factors of n. Set Mn gives all multiples of n less than 1000. Which of the following statements is/are true? i. F108 ∩ F84 = F12 ii. M12 ∪ M18 =…

1. A drain pipe can drain a tank in 12 hours, and a fill pipe can fill the same tank in 6 hours. A total of n pipes – which…

If log2X + log4X = log25√6 and x > 0, then x is 6-1/6 61/6 3-1/3 61/3 log9(3log2 (1 + log3 (1 + 2log2x))) = 1/2. Find x. 4 1212 1 2 If…

Two friends A and B simultaneously start running around a circular track . They run in the same direction. A travels at 6 m/s and B runs at b m/s.…

A merchant can buy goods at the rate of Rs. 20 per good. The particular good is part of an overall collection and the value is linked to the number…

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Consider a class of 40 students whose average weight is 40 kgs. m new students join this class whose average weight is n kgs. If it is known that m…

How many numbers with distinct digits are possible product of whose digits is 28? 6 4 8 12 A page is torn from a novel. The sum of the remaining…

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A number n! is written in base 6 and base 8 notation. Its base 6 representation ends with 10 zeroes. Its base 8 representation ends with 7 zeroes. Find the…

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The sum of the digits of a number N is 23. The remainder when N is divided by 11 is 7. What is the remainder when N is divided by…

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  The sum of the factors of a number is 124. What is the number? Number lies between 40 and 50 Number lies between 50 and 60 Number lies between…

  How many pairs of integers (x, y) exist such that the product of x, y and HCF (x, y) = 1080? 8 7 9 12 Find the smallest number…