OLYMPAD MATHS = 3

📘 Class 7 Olympiad – Twisted Word Problems

1. A number is increased by 1/2 of itself. What is the final value if original number is 40?
50
60
80

✅ Answer: 60

Half of 40 = 20 → 40 + 20 = 60

2. A tank is 3/4 full. After removing 1/2 of the water, how much is left?
3/8
1/4
1/2

✅ Answer: 3/8

Half of 3/4 = 3/8 removed → remaining = 3/8

3. A student spends 2/5 of money and then 1/3 of the remaining. What fraction is left?
1/5
1/3
2/5

✅ Answer: 2/5

Remaining after first = 3/5 → spends 1/3 of 3/5 = 1/5 → left = 2/5

4. A number is multiplied by 3/4 and then divided by 1/2. What happens?
decreases
increases
same

✅ Answer: increases

Multiplying by 3/4 then dividing by 1/2 = multiplying by 3/2 → increases

5. A rope is cut into two parts in ratio 3:5. If total is 40 m, find smaller part.
15
25
10

✅ Answer: 15

Total parts = 8 → each = 5 → smaller = 3×5=15

6. If 2/3 of a number is 18, find the number.
24
21
27

✅ Answer: 27

Number = 18 × 3/2 = 27

7. A man walks 1/4 km, then 1/2 km. Total distance?
3/4
3/4 km
1 km

✅ Answer: 3/4 km

1/4 + 1/2 = 3/4

8. A number reduced by 1/3 becomes 20. Find number.
30
60
15

✅ Answer: 30

2/3 of number = 20 → number = 20×3/2 = 30

9. If a number is halved twice, what fraction remains?
1/2
1/3
1/4

✅ Answer: 1/4

Half of half = 1/4

10. A number increased by 25% becomes 50. Find original.
40
25
45

✅ Answer: 40

125% = 50 → 100% = 40