CBSE Class 7 Mathematics Rational Numbers MCQs

Question. 8 children have to share two thirds of a watermelon equally. What part of the whole watermelon would each child get?
a) 2/3÷8
b) 8÷2/3
c) 2/3×8
d) 8÷3/2

Answer: A

Question. A teacher thinks of a number and asks her class to guess it. She writes some clues on the board:
What is the number?

a) 4564
b) 4554
c) 4545
d) 4544

Answer: D

Question. In a knock-out type tournament, the winners of the first round meet in the second round and the losers are knocked out of the tournament. Similarly, the winners of the second round meet in the third round, while the losers are knocked out, and so on. In any round, if the number of players is odd, one player gets a walk-over. 
What will be the total number of matches played in a tournament with 8 participants?
a) 6
b) 7
c) 8
d) 10

Answer: B

Question. In a knock-out type tournament, the winners of the first round meet in the second round and the losers are knocked out of the tournament. Similarly, the winners of the second round meet in the third round, while the losers are knocked out, and so on. In any round, if the number of players is odd, one player gets a walk-over. 
In a tournament where the total number of matches played is 5, the number of participants must be
a) 4
b) 5
c) 6
d) 7

Answer: C

Question. Arpit's house has eightwindows like the one shown here. Arpit and his sister had to clean all the windows by themselves. Arpit's sister cleans 4 windows fully and 2 panes of the fifth one. What part of the whole work did Arpit do?

a) 13 / 3
b) 11/3
c) 11/18
d) 11/24

Answer: D

Question. Solid B is made up of smaller pieces which are identical to Solid A. The volume of Solid B will be

a) 30% of Solid A
b) 40% of Solid A
c) 300% of Solid A
d) 400% of Solid A

Answer: D

Question. Parthiv has to complete the following divisibility table for homework. For which of the numbers should he put ✔ in all three columns?

a) 888
b) 27720
c) 6363
d) 55055

Answer: B

Question. The sum of the ages of 5 children is 20 years. After how many years will the sum of their ages be 40 years?
a) 4
b) 5
c) 10
d) 20

Answer: A

Question. Out of 8 almirahs in a Library,3 contains books related to Languages and 3 are filled with books of Science. The remaining almirahs are equally distributed for organising the books of Social Science and Mathematics.
What fraction of total almirahs are occupied by books of Mathematics?
a) 3/8
b) 3/16
c) 3/24
d) 3/32

Answer: C

Question. Which of the following will be equal to 1/4 ?
a) one hundredth of 250
b) 50% of 5
c) 100% of 0.25
d) 40% of 1

Answer: C

Question. The HCF of two number ◯ and △ is the number ◯ itself.
This can be true only if
a) ◯ and △ do not have any common factors 
b) △ is a factors of ◯
c) △ is a multiple of ◯
d) ◯ and △ are equal

Answer: C

Question. 90 for every 100 is the same as_____for every 200.
a) 210
b) 190
c) 180
d) 90

Answer: C

Question. A number when divided by 6 leaves 0 as remainder. What remainder will it leave when divided by 2?
a) 4
b) 3
c) 2
d) 0

Answer: D

Question. Four children A, B, C and D are sitting around a table with a box containing 30 sweets. Starting with A, the box is passed around the circle with every child in turn taking a few sweets and then passing the box on to the next child. This goes on till each child has had TWO turns and the box has become empty. 
The number of sweets remaining in the box after each child has taken her turn is shown below.

Who took the maximum number of sweets?
a) A
b) B
c) C
d) D

Answer: C

Question. Which of these is a true statement?
a) A number divisible by 9 must be divisible by 6.
b) A number divisible by both 2 and 4 must be divisible by 8.
c) Every multiple of 9 is a multiple of 3.
d) Every even number is a multiple of 4.

Answer: C

Question. How many two-digit ODD numbers are there in which the digit in the units (ones) place is three times the digit in the tens place?
a) 1
b) 2
c) 3
d) 5

Answer: B

Question. How much is 5 lacs 50 thousands + 4 thousands 5 hundred ?
a) 5,05,000
b) 5,54,500
c) 5,40,500
d) 5,95,000

Answer: B

Question. The pie-chart shows the distribution of books in Pragati School’s library in the GENERAL and SUBJECT categories.
What percentage of books in the library are Subject related?

a) 80%
b) 75%
c) 60%
d) 25%

Answer: B

Question. About how much water does this jar contain?

a) 250 ml
b) 700 ml
c) 800 ml
d) 900 ml

Answer: B

Question. Pawan and Ramesh are standing at the point marked Q on a straight road. Pawan's house (marked P) is 5 km to the north-west of Q. Ramesh's house is marked R. It is also on the same road - its exact position is shown in the figure. 
What is the position of Ramesh's house with respect to Pawan's house?

a) 9 km south
b) 10 km south
c) 9 km south-east
d) 9 km south-west

Answer: C

Question. Three sticks P, Q and R of the same size are put together so that each one is perpendicular to the other two. Three longer sticks S, T and U are then placed to make a frame as shown.How many triangles will be got, and of what type?

a) 3: all right triangles
b) 3: one right triangle and two obtuse-angled triangles
c) 4: one right triangle, two obtuse-angled triangles and one acute-angled triangle
d) 4: three right triangles and one acute-angled triangle

Answer: D

Question. A circle has centre O and diameter 12 cm.
A point P has to be marked on XY such that XP = 8 cm. What will be the position of point P?

a) between points X and O
b) between points Y and O
c) at point O
d) at point Y

Answer: B

Question. See the figure.
You have to move from point X to point Y along the lines of the figure so that you pass through the MAXIMUM number of dots possible. (You are NOT allowed to go over any part or point twice). 
What is the maximum number of dots that you could pass through while going from X to Y? (Including X and Y)

a) 8
b) 11
c) 14
d) 16

Answer: C

Question. In the given figure, O is the centre of the given circle. 
Which of the following option is correct?

a) N — Q is called a sector of the circle.
b) PQ is the diameter of the circle.
c) MN is called a chord.
d) O is a point on the circle.

Answer: C

Question. For what value of ‘a’ the number -11/a  is not a rational number
a) -1
b) 1
c) 0
d) 10

Answer: C

Question. The product of two rational numbers is -7/8  . If one of the numbers is 1/-6 .Find the other.
a) 37/8
b) -42/8
c) 21/4
d) -7/48

Answer: C

Question. Find the value of -9/5 + -8/5 ÷ 5/2 x -5/4 .
a) -1
b) -3
c) 2
d) -8

Answer: A

Question. The additive inverse of -1/3 - (-1)/3 is ________.
a) 1/3 
b) 0
c) -1/3
d) None of these.

Answer: B

Question. The sum of three rational numbers is -1/5 . If two of the numbers are 3/10 and -2/5 , the third number.
a) -7/10
b) -11/10
c) 2/5
d) -1/10

Answer: D

Question. What is the quotient when a non-zero rational number is divided by its additive inverse.
a) 0
b) -1
c) 1
d) None of these

Answer: B

Question. The sum of 7/-3 and 5/-6 is equal to the product of -5/3 and a number. Find the number.
a) 35/6
b) 5/3
c) -25/6
d) 19/10

Answer: D

Question. What number should be subtracted from 3/7 to get 5/7 .
a) -2/7
b) 2/7
c) 3/5
d) 1/7

Answer: A

Question. Product of -1(1)/7 and the reciprocal of -2/7 is ____________.
a) 2/7
b) 4
c) 3
d) 1/-2

Answer: B

Question. Which of the following is not equivalent to -6/21
a) 20/-70
b) 10/-35
c) -9/24
d) -26/91

Answer: C

Question. Find the additive inverse of -2/-13 .
a) 2/13
b) 13/2
c) -13/2
d) -2/13

Answer: D

Question. For any rational number a,b,c ,which among the following is false.
a) a x b=b x a
b) a x (b-c)=a x b-a x c
c) a x (b ÷ c)=a x b ÷ a x c
d) a x (b+c)=a x b+a x c

Answer: C

Question. Find the value: [-2/7 - 5/7] x [8/3 ÷ 4/9]
a) -6
b) 4/7
c) -6/7
d) -2

Answer: A

Question. From a rope of 40m50cm , pieces of equal size are cut. If each piece is 2(1)/4 m long, find the number of pieces cut off?
a) 15
b) 18
c) 22
d) 9

Answer: B

Question. Divide the difference of 3/7 and 2/5 by the product of 4/5 and 25/2 .
a) 2/7
b) 9/35
c) 1/350
d) 2/75

Answer: C

Question. ______ and ______ are reciprocals of itself.
a) 0 ,1
b) 0,-1
c) 1,-1
d) None of these

Answer: C

Question. By what number should we multiply -5/4 to get 7/2 .
a) -35/8
b) -5/14
c) 8/-35
d) -14/5

Answer: D

Question. Divide the sum of -1/3 and 5/6 by the sum of 1/-4 and 3/8 .
a) 1/2
b) 6
c) 4
d) 1/4

Answer: C

Question. If p/q and r/s are rational numbers ,then p/q is multiplicative inverse of r/s if,
a) p/q = r/s
b) p/q + r/s = 1
c) p/q x r/s = 1
d) p/q + r/s = 0

Answer: C

Question. Subtract - 3/5 from its reciprocal.
a) -16/15
b) -34/15
c) -29/9
d) 8/15

Answer: A

Question. Which of the following is the standard form of 36/-24?
(a) -3/2
(b) 3/2
(c) 2/3
(d) 2/-3

Question. What is the value of ( --7/5) + ( --2/3)
(a) -31/15
(b) 31/15
(c) 15/31
(d) 15/-31

Question. Which of the following is the additive inverse of – 4/7 ?
(a)--4/7
(b) 4/7
(c) zero
(d) 7/4

Question. Which of the following is the multiplicative inverse of – 4/5 ?
(a) 4/5
(b) --5/4
(c) zero
(d) 5/4

Question. What is the value of ( --7/5) x ( --15/14)
(a) –3/2
(b) 3/2
(c) 2/3
(d) –2/3

Question. How many rational numbers are there between 2 & 4 ?
(a) zero
(b) one
(c) two
(d) uncountable

Question. What is the value of ( --7/15) ÷ ( --14/15) ?
(a) –1/2
(b) 1/2
(c) 98/225
(d) –2