**Question 1 :**

What is the roman numeral for 13?

(A) IX (B) XLV (C) XII

**Solution :**

The roman numeral of 13 is XIII.

**Question 2 :**

All the numbers ending with 0 or 5 is divisible by ________

(A) 10 (B) 5 (C) 2

**Solution :**

All the numbers which are ending with 0 or 5 is divisible by 5.

**Question 3 :**

What is the index of the number 3^{12}?

(A) 12 (B) 3 (C) 0

**Solution :**

The value which is at power is known as index.

In 3^{12}, the index is 12.

**Question 4 :**

A number which divides another number and gives no remainder is a ____________ of that number.

(A) factor (B) multiple (C) None of these

**Solution :**

For example, let us consider 6.

If we divide 6 by 2, we get 3 as quotient and 0 as remainder. So, 2 is the factor of 6.

**Question 5 :**

A hall is 35 meters long and 28 meters broad. Find the length of the longest tape that can measure the length and breadth of the hall a whole number of times.

(A) 7 m (B) 3 m (C) 8 m

**Solution :**

To find the length of the longest tape that can measure the length and breadth, we find the highest common factor.

35 = 5 ⋅ 7

28 = 2 ⋅ 2 ⋅ 7

highest common factor is 7

So, the length of breadth of hall is 7 m.

**Question 6 :**

Find the L.C.M of 63, 105, 147

(A) 1040 (B) 2205 (C) 1200

**Solution :**

Least common multiple = 7 ⋅ 3 ⋅ 3 ⋅ 5 ⋅ 7

= 2205

So, the answer is 2205.

**Question 7 :**

There are 16 students from Mr. Block’s class at the library. The other four students in the class are practicing math facts in the classroom. Which number sentence shows the total number of students in Mr. Block’s class?

(A) 16 + 4 (B) 16 – 4 (C) 16 × 4

**Solution :**

Total number of students = 16 + 4

**Question 8 :**

Represent the shaded portion using fraction.

(A) 5/10 (B) 5/6 (C) 1/6

**Solution :**

Only five equal parts are shaded. So, the shaded region is 5/6.

**Question 9 :**

A bottle contains 1.8 liter of orange juice. How many glasses, each of capacity 0.15 liter can be filled from it?

(A) 12 bottles (B) 15 bottles (C) 18 bottles

**Solution :**

Quantity of orange juice = 1.8 liter

Capacity of glass = 0.15 liter

Number of glasses to be filled = 1.8/0.15

= 12 bottles

**Question 10 :**

In a test a girl scored 28 marks out of 40. What is her percentage of marks?

(A) 50 (B) 70 (C) 90

**Solution :**

Marks scored = 28

Total marks = 40

Percentage of marks = (28/40) ⋅ 100

= 70%

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