# maths

2,595 total views

2,595 total views

3,777 total views

3,777 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 […]

4,039 total views

4,039 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 […]

5,044 total views

5,044 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 […]

5,789 total views

5,789 total views 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! means the […]

4,025 total views

4,025 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 = […]

3,320 total views

3,320 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 […]

1,724 total views

1,724 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 […]

1,378 total views

1,378 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 […]

3,184 total views

3,184 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 […]

3,184 total views