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What is the number of distinct terms in the expansion of (a+b+c)^20? (2008)
31
May

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2,292 total views, no views today

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Tags: cat , CAT previous years , distinct terms , expansion , formula , mathematical ability , maths , quantitative aptitude , solved questtions , What is the number of distinct terms , What is the number of distinct terms in the expansion ,
What is the remainder when 4 ^96 is divided by 6 ? [CAT, 2003]
30
May

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3,383 total views, no views today 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. […]

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Tags: cat , CAT previous years , mathematical ability , maths , quantitative aptitude , Resoning , solved questtions , What is the remainder when 4 ^96 , What is the remainder when 4 ^96 is divided by 6 ,
If 9^2x-1- 81^x-1= 1944, then x is [CAT, 2017]
15
May

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3,687 total views, no views today 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 […]

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Tags: 2016 , algebraic exponents , algebraic powers , base of a number , cat , cat 2016 , cat 2017 , CAT previous years , If 9^2x-1- 81^x-1= 1944 , mathematical ability , maths , place value , quantitative aptitude , Resoning , solved questtions , then x is ,
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?(CAT, 2016)
15
May

4,652 total views, no views today

4,652 total views, no views today 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 […]

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Tags: 2016 , a number in base , A sequence of 4 digits , base of a number , cat , cat 2016 , CAT previous years , how a number in base n is written , mathematical ability , maths , place value , quantitative aptitude , Resoning , solved questtions , when considered as a number in base 10 is four times the , why place value ,
What is the greatest power of 5 that divides 80! exactly. (CAT, 2016)
14
May

5,347 total views, no views today

5,347 total views, no 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 […]

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Tags: 2016 , cat , cat 2016 , CAT previous years , mathematical ability , maths , quantitative aptitude , Resoning , solved questtions , What is the greatest power of 5 that divides 80! exactly ,
If a1=1 and a(n+1)-3an+2=4n for every positive integer n, then a100 equals (CAT, 2014)
14
May

3,657 total views, no views today

3,657 total views, no views today 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 […]

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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: [CAT, 2014]
14
May

2,992 total views, no views today

2,992 total views, no views today 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 […]

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Tags: cat , CAT previous years , maths , solved questtions , such that the sum of the digits of n is 2 , Suppose n is an integer ,
A three digit number which on being subtracted from another three digit number consisting of …(CAT, 2013)
14
May

1,692 total views, no views today

1,692 total views, no views today 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 […]

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Tags: 100x+10y+z , 10y+x , A three digit number which on being subtracted from another three digit number , cat , CAT previous years , competitive exams questions , dividend , divisor , face value , factors , For example , maths , place value , solved , solved questtions ,
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 statements?(CAT, 2013)
14
May

1,352 total views, no views today

1,352 total views, no views today 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 […]

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Tags: cat , CAT previous years , competitive exams questions , dividend , divisor , factors , For example , If p be a prime number , maths , p>3 and let x be the product of positive number , prime number , remainder , solved , solved questtions ,
What is the sum of all two digit numbers which leave a remainder of 6 when divided by 8?(CAT, 2012)
14
May
1

3,178 total views, no views today

3,178 total views, no views today 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 […]

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Tags: cat , CAT previous years , competitive exams questions , divided by prime number , dividend , divisor , factors , how to find factors , maths , remainder , remainder theorem , remiander , solved , solved questtions , What is the sum of all two digit numbers which leave a remainder of 6 ,
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