Class 7 Maths: Number Play MCQs (NCERT)

100 practice questions on Number Play, a chapter in the NCERT Class 7 Mathematics textbook. Every question includes a written explanation. Try the samples below - the answer stays hidden until you ask for it.

Sample questions

Q1
hard
Three numbers standing next to each other in the Virahanka sequence add up to $68$. What is the largest of the three?
  1. A $55$
  2. B $13$
  3. C $21$
  4. D $34$
Show answer and explanation

Correct answer: D - $34$

If the first two are $a$ and $b$, the third is $a + b$, so the total is $2(a + b) = 68$ and $a + b = 34$. The largest of the three is that third number, $34$, and the triple is $13$, $21$, $34$. The values $21$ and $13$ are the two smaller members, and $55$ is the number that follows the triple.
Q2
medium
In the Virahanka sequence, an unknown number $x$ is followed by $21$ and then by $34$. Find $x$.
  1. A $8$
  2. B $12$
  3. C $13$
  4. D $55$
Show answer and explanation

Correct answer: C - $13$

The rule gives $x + 21 = 34$, so $x = 13$. The value $8$ lies one place earlier still, and $55$ is the number that comes after $34$. Subtracting $21$ from $33$ instead of $34$ gives $12$.
Q3
medium
Three children of different heights stand in a row, and each reports how many children to their left are taller. Which of these lists of reports, read from left to right, is not possible?
  1. A $0, 0, 0$
  2. B $0, 1, 1$
  3. C $1, 0, 1$
  4. D $0, 1, 2$
Show answer and explanation

Correct answer: C - $1, 0, 1$

The first child has nobody on the left, so the first report must be $0$, which rules out $1, 0, 1$. The list $0, 1, 2$ arises when heights fall steadily, $0, 0, 0$ when they rise steadily, and $0, 1, 1$ when the third child is taller than the second but shorter than the first.
Q4
easy
Statement 1: Two even numbers can never add up to an odd number. Statement 2: Two odd numbers can never add up to an even number. Which statement is correct?
  1. A Only Statement 1
  2. B Neither statement
  3. C Both statements
  4. D Only Statement 2
Show answer and explanation

Correct answer: A - Only Statement 1

Two even numbers both split into equal whole parts, so their total does too and is always even, which makes Statement 1 correct. Statement 2 fails, because $3 + 5 = 8$ shows two odd numbers giving an even total. Since one holds and the other does not, they cannot both be right or both be wrong.
Q5
hard
A frog starts at $0$ on a number line. In each jump it moves exactly $2$ steps, either to the left or to the right. Can it ever land exactly on $7$?
  1. A Yes, after $7$ jumps
  2. B Yes, but only if its first jump is to the left
  3. C No, because after any number of jumps it stands on an even number
  4. D Yes, after $4$ jumps
Show answer and explanation

Correct answer: C - No, because after any number of jumps it stands on an even number

Every jump changes the position by $2$, so an even starting point stays even for ever, and $7$ is odd. The number of jumps and their direction cannot change this, since adding or subtracting $2$ never turns an even number into an odd one.
Q6
hard
Vidya adds four whole numbers and finds that the total is odd. How many of her four numbers can be odd?
  1. A None of them
  2. B One or three of them
  3. C All four of them
  4. D Exactly two of them
Show answer and explanation

Correct answer: B - One or three of them

Odd numbers pair off into even sums, so the total is odd exactly when an odd count of the numbers is odd, which here means one or three. Two odd numbers give an even total, as do four odd numbers, and with none odd every number is even and the total is even.

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More Class 7 Maths chapters

Large Numbers Around Us 110 A Peek Beyond the Point 125 Expressions using Letter-Numbers 105 Parallel and Intersecting Lines 115 A Tale of Three Intersecting Lines 110 Working with Fractions 110