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 312

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

Solution :

The value which is at power is known as index.

In 312, 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

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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Domain and range of rational functions with holes

Graphing rational functions

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

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Remainder when 17 power 23 is divided by 16

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