# cat questions

1,411 total views

1,411 total views Previous QuestionNext Question How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2, 3 and 4 if repetition of digits is allowed? [CAT, 2010]a. 499 b. 500 c. 375 d. 376 Solution: The Fundamental Principle of Counting or the Multiplication Principal : We will use […]

3,455 total views

3,455 total views Previous QuestionNext Question The largest number amongst the following that will perfectly divide isa.100 b. 10000 c. d. 100000 [CAT, 2010] Solution: Breaking the large exponent: In such question, we have to take a lower value as an exponent and then we check that by which number it can be divided or what […]

561 total views

561 total views Previous QuestionNext Question If , then find . a.1 b.2 c.3 d. 4 [CAT, 2009] Solution: Algebraic Identities: Firstly we will do cross multiplication. Note: When we multiply a number ‘a’ by 1, we again get that number because 1 is called the Multiplicative Identity in mathematics. Ex: 2×1=2, we get […]

1,116 total views

1,116 total views Previous QuestionNext Question What is the remainder when is divided by 4? a.0 b.1 c.2 d. None of these [CAT, 2008] Solution:Remainder finding:The laws of exponents:According to the laws of exponents when the powers are the same, bases are added/subtracted.am+bm = a+bmam-bm= a-bm If the numbers are in multiplication with the same bases then;am×bm = […]

3,089 total views

3,089 total views Previous QuestionNext Question The number of common terms in the two sequences 17, 21, 25, …, 417 and 16, 21, 26, …, 466 is a. 19 b.20 c.77 d.78 [CAT, 2008] Solution: Arithmetic Sequence /Arithmetic Progression (A.P) Firstly understand that a sequence is a list of numbers that […]

7,301 total views

7,301 total views Previous QuestionNext Question If sum of the first 11 terms of arithmetic progression equals that of the first 19 terms, then what is the sum of the first 30 terms? [CAT, 2004]a. 0 b. -1 c.1 d. Not Unique Solution: Arithmetic Sequence or Arithmetic Progression (A.P) Firstly understand that a sequence is […]

2,636 total views

2,636 total views Previous QuestionNext Question Let x and y be positive integers such that x is prime and y is composite. Then a. y – x can’t be an even integer b. yx can’t be an even integer c. can’t be even integer d. None of these [2003] Solution: Integers, Composite numbers, and Prime numbers: Integers are […]

1,854 total views

1,854 total views Previous QuestionNext Question Each family in a locality has at most two adults, and no family has fewer than three children. Considering all the families together there are more adults than boys, more boys than girls and more girls than families. Then the minimum possible number of families in the locality is: [2004]. a. 4 […]

936 total views

936 total views Previous QuestionNext Question The rightmost non-zero digit of is [CAT, 2005]a. 1 3 b. 3 c.7 d. 9 Solution:Factors: The factors of 2720 are 1, 2, 4, 8, 12…, leaving the factor 2 alone (1 is not being considered here), all the factors when used as […]

5,879 total views, 6 views today

5,879 total views, 6 views today Previous QuestionNext Question If x = − 0.5, then which of the following has the smallest value?[CAT, 2006]a. b. c. d. e. Solution: Finding out the smallest value: Since the question is saying that which of the option has the smallest value when the value of x = […]