Arithmetic Problems With Solutions for Competitive Exams :
Here you can see some arithmetic problems. We have prepared these questions, inorder to help the students who are trying to get better score in competitive exams.
Question 1 :
Which of the following is not even ?
(A) 330 (B) 436 (C) 752 (D) 861 (E) 974
Solution :
If the given number is even, then it must ends with one of the following numbers 0, 2, 4, 6 or 8.
In the above numbers 861 ends with 1, which is not even. Hence 861 is not even number.
Question 2 :
What is the least prime number greater than 50 ?
(A) 51 (B) 53 (C) 55 (D) 57 (E) 59
Solution :
A number which is divisible by 1 and itself is known as prime numbers.
51 is divisible by 1, 51, 3, 7. So it not prime.
53 is divisible by 1 and 53. There is no divisor other than 1 and 53. Hence it is prime.
Question 3 :
Which of the following is a multiple of 2 ?
(A) 271 (B) 357 (C) 463 (D) 599 (E) 756
Solution :
Multiple of 2 is also even number. Since 756 is even number, it is multiple by 2.
Question 4 :
(15 ⋅ 7 ⋅ 3) / (9 ⋅ 5 ⋅ 2) =
(A) 2/7 (B) 3/5 (C) 3 1/2 (D) 7 (E) 7 1/2
Solution :
= (15 ⋅ 7 ⋅ 3) / (9 ⋅ 5 ⋅ 2)
= 7/2
By converting the improper fraction as mixed fraction, we get 3 1/2.
Question 5 :
What is the lest common multiple of 18 and 24 ?
(A) 6 (B) 54 (C) 72 (D) 96 (E) 432
Solution :
To find L.C.M of 18 and 24, let us use "ladder method"
LCM of 18 and 24 = 3 ⋅ 2 ⋅ 3 ⋅ 4
= 72
Question 6 :
Which of the following is a multiple of 3 ?
(A) 115 (B) 370 (C) 465 (D) 589 (E) 890
Solution :
In order to find which of the following number is a multiple of 3, let us use divisibility test.
If the sum of the digits is a multiple of 3, then the given number is divisible by 3.
115 = 1 + 1 + 5 = 7 (not divisible by 3)
370 = 3 + 7 + 0 = 10 (not divisible by 3)
465 = 4 + 6 + 5 = 15 (divisible by 3)
Hence 465 is a multiple of 3.
Question 7 :
-6 (3 - 4 ⋅ 3) =
(A) -66 (B) -54 (C) -12 (D) 18 (E) 54
Solution :
According to order of operation, first we have to consider the parenthesis. (BODMAS)
= -6 (3 - 4 ⋅ 3) (performing multiplication)
= -6(3 - 12)
= -6 (-9)
= 54
Hence the answer is 54.
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