Problems on Numbers Diagram-Based Questions

Remove the extra 14: 86 − 14 = 72

4 blocks = 72 → 1 block = 18

B = 2 × 18 + 14 = 50 (A = 36)

Trap: 18 is one block, not a number.

Answer: 50

Difference = 2 blocks = 28 → 1 block = 14

Sum = 8 blocks = 112 (42 + 70)

Trap: 70 is only the larger number.

Answer: 112

Remove the extra 10: 110 − 10 = 100

5 blocks = 100 → 1 block = 20

R = 2 × 20 + 10 = 50

Trap: 40 forgets R’s extra 10.

Answer: 50

1 block = difference = 15

Numbers: 3 × 15 = 45 and 4 × 15 = 60

Product = 45 × 60 = 2,700

Trap: 105 is their sum.

Answer: 2,700

To become equal, B gives half the difference

Half of 2 blocks = 1 block = 12

Total = 8 blocks = 96 (36 and 60)

Trap: 48 takes 12 as two blocks.

Answer: 96

Middle number C = 230 ÷ 5 = 46

E is two steps of 2 beyond C

E = 46 + 4 = 50

Trap: 46 is the middle number C.

Answer: 50

Let Q = n: (n − 2)² + n² + (n + 2)² = 3n² + 8 = 371

n² = 121 → n = 11

R = 13 (the numbers are 9, 11, 13)

Trap: 11 is the middle number.

Answer: 13

Tens = 2x, units = x → 2x + x = 12

x = 4 → tens digit 8

Number = 84

Trap: 48 swaps the digits.

Answer: 84

Number − reverse = 9 × (digit difference) → 54 ÷ 9 = 6

Digits: a − b = 6 and a + b = 10 → a = 8, b = 2

Number = 82

Trap: 28 is the reverse.

Answer: 82

abc − cba = 99(a − c) = 297 → a − c = 3

b = 2c and a = c + 3 → (c + 3) + 2c + c = 15 → c = 3

a = 6, b = 6 → 663

Trap: 366 is the reversed number.

Answer: 663