Only 1% of ICSE Students Can Solve These Puzzles ! Test your brain with challenging math riddles and logic questions designed for Class 6–10 students. Improve problem-solving skills, boost IQ, and have fun learning. Try now and see if you’re among the top 1% smart students!
🧠 Only 1% of ICSE Students Can Solve These Puzzles !
Most students think they’re good at logic… until they try these.
Instructions:
– Don’t rush
– Solve first, then check answers
– Write proper steps
🔥 Puzzle 1: The Misleading Average
The average of 5 consecutive numbers is 18. Find the largest number.
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Ans-
Let numbers be: x−2, x−1, x, x+1, x+2
Average = 18 ⇒ x = 18
Numbers: 16, 17, 18, 19, 20
Largest number = 20
“Ohh… that was simple ! 😁”
⚡ Puzzle 2: The Speed Trap
A student goes to school at 30 km/h and returns at 60 km/h. Find average speed.
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Ans-
When a student travels the same distance at two different speeds :
Average speed = (2 × speed1 × speed2 )/(speed1 + speed2)
Now apply:
- speed 1 = 30km/h
- speed 2 = 60km/h
Average speed = 2×30×60/(30+60) = 40 km/h
🧩 Puzzle 3: Sum Shortcut
Find: 1 + 2 + 3 + … + 100
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Ans-
Pair the numbers from start and end:
- (1 + 100) = 101
- (2 + 99) = 101
- (3 + 98) = 101
…
👉 Total 50 pairs, and each pair = 101
So,
Sum = 50 × 101 = 5050
🧠 Puzzle 4: Probability Challenge
A bag has 3 red and 2 blue balls. Two are drawn without replacement. Find probability both are red.
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Ans-
Total balls = 3 red + 2 blue = 5
👉 Probability that both drawn are red (without replacement):
First red = 3/5
Second red (now 2 red left out of 4) = 2/4
Multiply: 3/5×2/4 = 6/20 = 3/10
🔍 Puzzle 5: Logical Reasoning
All roses are flowers. Some flowers fade quickly. What is definitely true?
A) All flowers are roses
B) Some roses fade quickly
C) Some flowers fade quickly
D) No roses fade quickly
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Ans-
💡 Trick Explanation:
- All roses are flowers
- Some flowers fade quickly
👉 This means:
- Roses are a subset of flowers
- And some flowers (not necessarily roses) fade quickly
We cannot be sure that roses are included in those fading flowers.
∴ Correct answer : c) Some flowers fade quickly
🔢 Puzzle 6: Algebra Trick
If x + 1/x = 5, find x² + 1/x²
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Ans-
💡 Trick Method:
Given: x + 1/x = 5
Square both sides:
(x + 1/x)² = 5²
So,
25 = x² + 1/x² + 2
x² + 1/x² = 25-2 = 23
⚙️ Puzzle 7: Work & Time
A can do work in 10 days, B in 15 days. Time together?
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Ans-
💡 Trick Method:
A’s 1 day work = 1/10
B’s 1 day work = 1/15
👉 Together (add work rates):
1/10 + 1/15 = (3+2)/30 = 5/30 = 1/6
So, they complete 1/6 work in 1 day
∴ They will complete the whole work in 6 days.
🧮 Puzzle 8: Number System
Find remainder when 7¹⁰⁰ is divided by 6.
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Ans-
💡 Trick Method:
7 can be written as :
7 = 6 + 1
when we divide 7 by 6 , remainder is 1
So,
- 7÷6 leaves remainder 1
- That means 7 ≡ 1 (mod 6)
Now instead of 7¹⁰⁰ , think :
7¹⁰⁰ = (6+1)¹⁰⁰,
every time you multiply , it will still leave remainder 1
Example :
- 7² = 49 , remainder when divided by 6 =1
- 7³ = 343 , remainder =1
∴ 7¹⁰⁰ remainder will also be 1
😵 Puzzle 9: Arrangement
In how many ways can letters of MATHS be arranged?
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Ans-
💡 Trick Explanation:
The word MATHS has 5 letters and all are different,
so the number of ways to arrange them is given by factorial of 5,
i.e. 5! = 5×4×3×2×1 = 120.
💥 Puzzle 10: Final Boss
A number leaves remainder 1 when divided by 7, 8, and 9. Find smallest number.
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Ans-
A number that leaves remainder 1 when divided by 7, 8, and 9 means:
👉 Number = LCM(7, 8, 9) + 1
LCM of 7, 8, 9 = 504
So,
Number = 504+1 = 505
🏆 Final Score
9–10 → ICSE Topper Level 🧠🔥
6–8 → Strong Concepts 💪
3–5 → Needs Practice
0–2 → Revise Basics 😅
–: End of Only 1% of ICSE Students Can Solve These Puzzles ! :–
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