**Problem 1 :**

Arrange the following digits so that they make smallest possible number.

8, 4, 5, 9, 7, 6, 1, 3, 2

(A) 142356789 (B) 132456789 (C) 123456789

**Solution :**

The smallest possible number that can be formed by the given digits.

123456789

**Problem 2 :**

Write the number that is 1000 more than 636272

(A) 637212 (B) 637272 (C) 632714

**Solution : **

636272 + 1000 = 637272

**Problem 3 :**

Write the roman numeral for XXVIII

(A) 42 (B) 28 (C) 36

**Solution :**

Roman numeral for XXVIII is 28.

**Problem 4 :**

Fill in the blank with the biggest digit possible.

764 _ 28.This number is divisible by 9.

(A) 3 (B) 9 (C) 7

**Solution :**

Let x be the unknown

7 + 6 + 4 + x + 2 + 8 = 27 + x

If x is 9, we get 36 and it is divisible by 9.

So, the answer is 9.

**Problem 5 :**

A number which does not have a factor other than the number itself and 1, is called _______________ number.

(A) Prime (B) Composite (C) None of these

**Solution :**

The number which does not have a factor other than 1 and itself is known as prime number.

**Problem 6 :**

The number which divides another number and gives no remainders is a ____________ of that number.

(A) divisor (B) factor (C) none of these

**Solution :**

For example, let us divide 6 by 2. We get 3 as quotient and 0 as remainder.

So, 2 is the factor of 6.

**Problem 7 :**

Find the HCF of 96 and 120.

(A) 24 (B) 35 (C) 12

**Solution :**

= 2 ⋅ 2 ⋅ 2 ⋅ 3

= 24

So, the highest common factor is 24.

**Problem 8 :**

Find the value of 56.725 + 48.258 - 32.564

(A) 148.63 (B) 59.478 (C) 72.419

**Solution :**

56.725 + 48.258 ==> 104.983

104.983 - 32.564 ==> 72.419

**Problem 9 :**

In an Army camp provisions were there for 500 men for 28 days . If 400 men attended the camp, then how long did the provisions last ?

(A) 35 days (B) 10 days (C) 50 days

**Solution :**

Number of men came to provision = 550

Number of days did it run = 28

Total contextion = 550 ⋅ 28 = 15400

If, number of men have come to the provision = 700

Then, number of days will it run = 15400 / 700

= 22 days.

If 700 men would have come, then the provision would have run for 22 days.

**Problem 10 :**

Find the number of days from November 10ᵗʰ 1997 to April 15ᵗʰ 1998.

(A) 85 days (B) 156 days (C) 79 days

**Solution :**

November = 31 - 10 ==> 21

December = 30

January = 31

February = 28

March = 31

April = 15

= 21+ 30 + 31 + 28 + 31 + 15

= 156 days

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