# exams

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 […]

1,037 total views

1,037 total views Previous QuestionNext Question The smallest number which when divided by 4, 6 or 7 leaves a remainder of 2, is [1993]a.86 b.80 c.62 d.44 Solution: LCM:This problem can easily be solved if we find out the LCM of 4, 6 7 and add 2 to that. But finding out LCMs is easy […]

3,653 total views

3,653 total views Previous QuestionNext QuestionIf m and n are integers divisible by 5, which of the following is not necessarily true? [1997]a. m – n is divisible by 5b. is divisible by 25c. m + n is divisible by 10d. None of these Solution: It is given that M and N are multiples of 5. Since they are […]

2,677 total views

2,677 total views Previous QuestionNext Question -1 is divisible by [CAT,1995]a. 5b. 13c. 31d. None of these Solution: Large Exponent: For this type of question where the value of the exponent is a large number, we have to break the exponent. For example, we can take a lower value as the exponent but it should be […]

2,160 total views

2,160 total views Previous QuestionNext Question Two positive integers differ by 4 and sum of their reciprocals is . Then one of the numbers is [1995]a. 3b. 1c. 5d. 21 Solution: Integers are in the form of …-3, -2, -1, 0, 1, 2, 3…. But it is said in the question that we have to take only positive integers […]