# CAT

2,536 total views

2,536 total views

3,696 total views

3,696 total views Previous QuestionNext Question What is the remainder when 496 is divided by 6 ? [CAT, 2003]a. 0 b. 2 c. 3 d. 4 [CAT, 2003] Solution: What is the remainder when 4 ^96 is divided by 6 Remainder: Let’s have another similar example to solve such type of problem to understand the mathematics of remainder. Firstly, understand Euclid’s […]

3,960 total views

3,960 total views Previous QuestionNext Question If 92x-1- 81x-1= 1944, then x isa. 3 b. c. d. [CAT, 2017] Solution: If 92x-1- 81x-1= 1944, then x is : LHS = RHS (left hand side = right hand side)Firstly notice that we have the bases same which is 9 in each three terms (LHS and RHS): Let’s […]

4,955 total views

4,955 total views Previous QuestionNext Question A sequence of 4 digits, when considered as a number in base 10 is four times the number it represents in base 6. What is the sum of the digits of the sequence?a. 7 b. 6 c. 9 d. 8 [CAT, 2016] Solution: A sequence of 4 digits, when […]

5,694 total views, 2 views today

5,694 total views, 2 views today Previous QuestionNext Question What is the greatest power of 5 that divides 80! exactly.a. 15 b. 16 c. 19 d. 13 [CAT, 2016] Solution: What is the greatest power of 5 that divides 80! exactly: n! is called factorial n, or n factorial where n is a number. If n=4, then 4! […]

3,958 total views

3,958 total views Previous QuestionNext Question If = 1 and -3+2 = 4n for every positive integer n, then a100 equalsa. 399-200 b. 399+200 c. 3100-200 d. 3100+200 [CAT, 2014] Solution: If a1=1 and a(n+1)-3an+2=4n for every positive integer n, then a100 equals: Given = 1 And – 3+2 = 4n Or = 3+4n-2 If n= 1 = […]

3,259 total views

3,259 total views Previous QuestionNext Question Suppose n is an integer, such that the sum of the digits of n is 2, and 1010 < n < 1011. The number of different values for n is:a. 11 b. 10 c. 9 d. 8 [CAT, 2014] Solution: Suppose n is an integer, such that the sum […]

1,720 total views

1,720 total views Previous QuestionNext Question A three digit number which on being subtracted from another three digit number consisting of the same digits in reverse order gives 594. The minimum possible sum of all the three digits of this number is [CAT, 2013] (a) 6 (b) 7 (c) 8 (d) cannot be determined Solution: A […]

1,352 total views

1,352 total views Previous QuestionNext Question If p be a prime number, p>3 and let x be the product of positive number 1, 2, 3,…,(p-1), then consider the following statements1. x is a composite number divisible by p.2. x is a composite number not divisible by but some prime number greater than p may divide x.3.x is […]

3,178 total views

3,178 total views Previous QuestionNext Question What is the sum of all two digit numbers which leave a remainder of 6 when divided by 8? [CAT, 2012] (a) 612(b) 594 (c) 23 (d) 872 Solution: What is the sum of all two digit numbers which leave a remainder of 6 Before we solve, let’s understand that division is equivalent to […]