**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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