Olympiad Test: Rational Numbers


20 Questions MCQ Test NCERT Mathematics for CAT Preparation | Olympiad Test: Rational Numbers


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Attempt Olympiad Test: Rational Numbers | 20 questions in 20 minutes | Mock test for Class 7 preparation | Free important questions MCQ to study NCERT Mathematics for CAT Preparation for Class 7 Exam | Download free PDF with solutions
QUESTION: 1

Which of the following is the product of (-7/8) and 4/21?

Solution:

ANSWER :- a

Solution :- the product of -7/8 and 4/21 is

[(-7) * (8)] * [(4) * (21)]

= - 1/6

QUESTION: 2

What number should be added to (7/12) to get (4/15) ?

Solution:

QUESTION: 3

Rewrite −44/72 in the simplest form.

Solution:

The HCF for 44 & 72 is 4

divide the numerator & denominator by HCF 4 and rewrite the fraction
= (44/4) / (72/4)
= 11/18

QUESTION: 4

What should be added to -5/11 to get 3/11 ?

Solution:
QUESTION: 5

Which of the rational number is positive?

Solution:
QUESTION: 6

Write the rational number whose numerator is 4 × (– 7) and denominator is (3 –7) × (15 – 11).

Solution:
QUESTION: 7

Fill in the blank using the appropriate option

Solution:

Since -¼ is  closer to zero than -⅓ , -¼ is greater than -⅓ . So the answer is A.

QUESTION: 8

0 ____ −7/6

Solution:
QUESTION: 9

Solution:
QUESTION: 10

What number should be added to 3/8 to get -1/24? 

Solution:

3/8 + x = -1/24

x = -1/24 - 3/8

x = -10/24

x = -5/12

QUESTION: 11

Solution:

QUESTION: 12

From his home, Rahul walks 6/7 km towards school and then returns 5/6 km on the same way towards his home to reach a landmark. Where will he be now from his home? 

Solution:

We have km

QUESTION: 13

Solution:

x = (-1*-15)/(3*6)

= 15/18

= 5/6

so reciprocal 1/x = 6/5

QUESTION: 14

Product of two rational numbers is−8/9, one is−10/3, find other

Solution:

Let the two rational numbers be x and y.

Given that x = -10/3

Product of two rational numbers is -8/9.

⇒ x * y = -8/9

⇒ -10/3 * y = -8/9

⇒ -10y/3 = -8/9

⇒ -30y = -8

⇒ y = 4/15

QUESTION: 15

Reduce  − 63/99  to the standard form.

Solution:

Since its -63/99, dividing both numerator and denominator by 9 we get -63/9=-7 and 99/9=11 .
So it's -7/11

QUESTION: 16

Write the rational number whose denominator is the smallest 2 digit number and the numerator is the greatest 3 digit number.

Solution:
QUESTION: 17

The rational number 9/1 in integer is _____.

Solution:

If we have 1 in the denominator, the number is the number of numerator only. That is 9/1=9

QUESTION: 18

NUmertor of  is

Solution:
QUESTION: 19

Which of the following is the reciprocal of the reciprocal of a rational number?

Solution:
QUESTION: 20

Find out two rational numbers between −3/4 and 0.

Solution:

Since -2/4=-½ which is greater than -¾ and less than 0 and -¼ is also greater than -¾ and less than 0.

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