**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.

After having gone through the stuff given above, we hope that the students would have understood, "Arithmetic Problems With Solutions for Competitive Exams".

Apart from the stuff given in this section "Arithmetic Problems With Solutions for Competitive Exams", if you need any other stuff in math, please use our google custom search here.

Widget is loading comments...

You can also visit our following web pages on different stuff in math.

**WORD PROBLEMS**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**