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How many three digit numbers are divisible by 5? |
A) 200 B) 180 C) 175 D) 10 Correct Answer : 180 Explanation : smallest 3 digit number divisible by 5 is first term, a =100 AP(Arithmetic Progression) So , the three digits number which is divisible by 5 is 180 |
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Shantanu was given a task of adding a certain number of consecutive natural numbers starting from 1. By mistake, he missed a number during addition. He obtained the sum as 800. Find the number that he missed? |
A) 15
B) 20
C) 25
D) 10
Correct Answer : 20 Explanation : Sum of n natural numbers is n(n+1)/2 ,and let missing number is x (x<=n) ,then |
A two digit number is such that the product of its digits is 12. When 9 is added to the number, the digits interchanges their places, find the number? |
A) 62
B) 34
C) 2
D) 43
Correct Answer : 34 Explanation : lets the digits of number are x and y, where x is tenth digit.then number would be 10x+y After putting eq2 in eq1 , the eq1 would be Suppose x= 3, then y=4 .Then number would be 34.when add 9 in 34 it would be 43, which is reversed of 34. |
What is the sum of first 10 prime numbers? |
A) Even
B) Odd
C) Can’t say
D) None of these
Correct Answer : Odd Explanation : first ten prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. |
If 43571A98B is a ‘9’ digit number divisible by 72. Which of the following is true for A and B ? |
A) A>B
B) A=B
C) A<B
D) Can’t be determined
Correct Answer : A=B Explanation : if 43571A98B is divisible by 72 then it should be divisible by co-prime of 72. 43571A98B divisible by 8. now, 43571A984 to be divisible by 9. Therefore, 43571A98B is divisible by 72 when A and B shuld be 4 , i.e. A=B<=>4 |
A 4 digit number is formed by repeating a 2 digit number such as 2424, 1212 etc. Any number of this form is always exactly divisible by? |
A) 7
B) 11
C) 13
D) 101
Correct Answer : 101 Explanation : Let the unit digit x and tenth digit y , So, that number must be divisible by 101, also 101 is the smallest three-digit prime number. |
The product of two numbers is 192 and the difference is 4. These two numbers are? |
A) 16, 12
B) 18, 14
C) 17, 13
D) 15, 11
Correct Answer : 16, 12 Explanation : let the numbers are x and x-4 that both sets of answers will work. (12 * 16) = 192 , (-12 * -16) = 192 |
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(422+404)2−(4×422×404) = ? |
A) 344
B) 342
C) 324
D) 312
Correct Answer : 324 Explanation : (a+b)2 - (a-b)2 = 4ab Hence , (422+404)2−(4×422×404) => (422 - 404)2 => (18)2 => 324 |
What is the largest 4 digit number exactly divisible by 88? |
A) 9944
B) 9999
C) 9988
D) 9900
Correct Answer : 9944 Explanation : Largest 4 digit number = 9999 |
The sum of, 1+2+3+⋯+12=? |
A) 66
B) 68
C) 76
D) 78
Correct Answer : 78 Explanation : Sum=1+2+3+⋯+n= n(n+1)/2 |
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If the 4th term of an arithmetic progression is 17 and the 7th term is 26, what is the 12th term? |
A) 33
B) 37
C) 41
D) 53
Correct Answer : 41 Explanation : 4th term of AP, a4 = a + 3d where a is st term & d is common difference,then- |
The 17th term of the arithmetic progression whose first two term are –3 and 2 is? |
A) 136
B) 82
C) 77
D) 120
Correct Answer : 77 Explanation : as given first two term of AP are –3 and 2 , So a is 1st term that is -3 and the 2nd term a+d = 2 (d is common difference), then- So 17th term of AP is = a + 16d |
The 7th term of an AP is 5 times the first term and its 9th term exceeds twice the 4th term by 1. The first term of the AP is ? |
A) 151
B) -39
C) 3
D) -124
Correct Answer : 3 Explanation : 7th term , A + (7–1)d = 5A as given, A + (9–1)d = 2[A + (4–1)d] + 1 after solving (i) and (ii) we get d = 2, A = 3 |
Which of the following is a multiple of 88 ? |
A) 1392578
B) 138204
C) 1436280
D) 143616
Correct Answer : 143616 Explanation : Only 143616 is a multiple of both 11 and 8 so it is a multiple of 88. |
How many integers from 1 to 100 exist such that each is divisible by 5 and also has 5 as a digit ? |
A) 10
B) 12
C) 11
D) 20
Correct Answer : 11 Explanation : These numbers are following |
The sum of all prime numbers which is not greater than 17 .The sum is? |
A) 59
B) 58
C) 41
D) 42
Correct Answer : 58 Explanation : The sum is = 2+3+5+7+11+13+17= 58 |
If 1 + 2 + 3 + .... + 100 = x, then find the value of x ? |
A) 5050
B) 5000
C) 10100
D) 10000
Correct Answer : 5050 Explanation : 1+2+3+4....+100= n(n+1)/2 |