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Wednesday, January 11, 2017

Math Puzzles 5 (With Answers)

Q 1. What replaces the question mark?

4 + 7 + 2 = 281435
7 + 3 + 9 = 212781
6 + 2 + 7 = 121456
2 + 8 + 5 = 164036
8 + 4 + 6 =?

Answers: 8 + 4 + 6

(8 * 4) = 32 and (4 * 6) = 24. Now putting the values together it gives 3224.

Now (8 – 1) = 7. If we put the digit together with 3224, it gives 32247.

Now (8 + 4 + 6) + 2 = 20 and now taking the last digit of the number ’20’ and keeping together with the number 32247, the final number ‘322470’ is ready.

Q 2. What replaces the question mark?

56 3 49 27 18
74 62 19 8 35
65 92 ? 34 81

Answer: For equation (iii), we need to get the sum value equal to 45.

So the logic should be (6 + 5 + 9 + 2 + ? + 3 + 4 + 8 + 1) = 45.

Then, 38 + ? = 45

So ? = (45 – 38) = 7

So ? = 7.

Q 3. What replaces the question mark?

5 + 3 + 2 = 151022
9 + 2 + 4 = 183652
8 + 6 + 3 = 482466
5 + 4 + 5 = 202541
Then, 7 + 2 + 5 =?

Answer: It works out to be a + b + c = (a * b) (a * c)??

The last 2 digit is equal to (a * b) + (a * c) - b

We use the same formula;

(a x b) = (7×2) = 14;

(a x c) = (7*5) = 35;

(a * b) + (a*c)-b = (7 × 2) + (7 × 5) - 2 = 14 + 35 - 2 = 47

Hence 7 + 2 + 5 = 143547

Q 4: What replaces the question mark?

10×11×12=9
11×12×13=9
12×13×14=9
13×14×15=9
Then 14×16×20=?

Answer: 10 × 11 × 12 = {(1+0) × (1+1) × (1+2)}² =6^2= 36 = 3 + 6 = 9.

11 × 12 × 13 = {(1 + 1) × (1 + 2) × (1 + 3)}² = 24^2 = (2 + 4)² = 36 = 3 + 6 = 9.

12 × 13 × 14 = {(1 + 2) × (1 + 3) × (1 + 4)}² = 60^2 = (6 + 0)² = 36 = 3 + 6 = 9.

13 × 14 × 15 = {(1 + 3) × (1 + 4) × (1 + 5)}² = 120^2 = (1 + 2 + 0)² = 9.

14 × 16 × 20 = {(1 + 4) × (1 + 6) (2 + 0)}² = 70^2 = (7 + 0)² = 49 = 4 + 9 = 13 = 1 + 3 = 4.