Q.1 Salil wants to put a picture in a frame. The picture is 7 3/5 cm wide. To fit in the frame the picture cannot be more than 7 3/10 cm wide. How much should the picture be trimmed ?

A) 3/9

B) 2/10

C) 3/10

D) 2/9

Ans. C

Therefore, picture to be trimmed

Thus picture should be trimmed by 3/10 cm

Q.2 Suman studies for 5 2/3 hours daily. She devotes 4 2/5 hours of her time for Science and Mathematics. How much time does she devote for other subjects?

A) 1 13/15

B) 2 13/15

C) 1 12/15

D) 2 12/15

Ans. B

Total time of Suman’s study =5 2/3 hr = 17/3 hr.

Time devoted by her for Science and Mathematics = 2 4/5 = 14/5 hr

Thus, time devoted by her for other subjects =

17/3 – 14/5 hr

17 * 5 / 15 – 14 * 3/ 15

= 43/15 hr = 2 13/15 hr

Q.3 Ritu ate 3/5 part of an apple and the remaining apple was eaten by her brother Somu. How much part of the apple did Somu eat?

A) 2/4 part

B) 2/5 part

C) 2/6 part

D) 2/7 part

Ans. B

The part eaten by her brother Somu =?

Who eat the larger part of apple?

The larger part of apple was how much larger?

The part of apple left after eaten by Ritu

Therefore, Somu ate 2/5 parts of apple.

Now compare the part eaten by them

Since, 3>2. Therefore,

That means Ritu ate larger part.

The difference in both parts

Thus,

Somu ate 2/5 part of apple.

Ritu ate the larger part of apple

Ritu ate 1/5 part more apple than her brother Somu.

Q.4 The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is 3/2.Find the rational number ?

A) 13/ 21

B) 13/20

C) 11/21

D) 11/ 20

Ans. A

Acc. to the question,

2(x + 17) = 3(x + 7)

⇒ 2x + 34 = 3x + 21

⇒ 34 − 21 = 3x − 2x

⇒13 = x

Numerator of the rational number = x = 13

Denominator of the rational number = x + 8 = 13 + 8 = 21