Q1: What is the 20th even number in the sequence 2, 4, 6, 8, ...?
Ans: 40
Explanation: The nth even number is 2n. For n = 20, 2 × 20 = 40.
Q2: Meera has 5 boxes and odd number cards (1, 3, 5, ...). Can she pick 5 cards that add to 50?
Ans:No
Explanation: Adding 5 odd numbers always gives an odd sum (each odd number adds an unpaired unit).
Since 50 is even, it’s impossible.
Q3: Sana adds 6 odd numbers. Is the sum even or odd?
Ans:Even
Explanation: Each odd number has one unpaired unit.
For 6 odd numbers, the 6 unpaired units pair up (6 ÷ 2 = 3 pairs), so the sum is even.
Q4: Raj has a 14 × 19 grid. Is the number of small squares even or odd?
Ans: Even
Explanation: The number of squares is 14 × 19.
Since 14 is even and 19 is odd, even × odd = even,
so the total is even.
Q5: What is the 30th odd number in the sequence 1, 3, 5, ...?
Ans:59
Explanation: The nth odd number is 2n - 1.
For n = 30, 2 × 30 - 1 = 60 - 1 = 59.
Q6: In a 3 × 3 magic square with numbers 1 to 9, what is the sum of each row?
Ans:15
Explanation: The sum of numbers 1 to 9 is 45.
In a magic square, each of the 3 rows sums to the same value,
so 45 ÷ 3 = 15.
Q7: Tara writes the Virahãnka sequence: 1, 2, 3, 5, 8, 13, 21, 34, 55, 89. What is the next number?
Ans:144
Explanation: Each number in the Virahãnka sequence is the sum of the two previous numbers. So, 55 + 89 = 144.
Q8: In the puzzle K + K + K = LK, where K and L are digits, what is K?
Ans: 5
Explanation: 3K = LK (a two-digit number with units digit K).
So, 3K = 10L + K. (expansion of a two digit number = 10p + q)
Subtract K: 2K = 10L.
Thus, K = 5L.
Since K and L are digits, L = 1, K = 5.
Check: 5 + 5 + 5 = 15, and LK = 15.
Q9: A bulb is ON. Vijay toggles it 63 times. Is the bulb ON or OFF?
Ans: OFF
Explanation: Each toggle switches the bulb (ON to OFF or OFF to ON).
Starting ON, 63 toggles (odd number) means it ends OFF.
Q10: In the Virahãnka sequence, two numbers are 377 and 610. What is the next number?
Ans: 987
Explanation: In the Virahãnka sequence, the next number is the sum of the two previous ones.
So, 377 + 610 = 987.
41 videos|251 docs|8 tests
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1. What is the importance of learning number patterns in Class 7? | ![]() |
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4. Are there any specific number play strategies that can help improve my performance? | ![]() |
5. How does understanding number play contribute to overall mathematical ability? | ![]() |