Concept of “Simplification-01”

(1) Q. (9.8 × 2.3 + 4.46) ÷ 3 = (?)² [Ans. (1) 3]

(1) 3       (2) 9       (3) 5        (4) 2         (5) None of these

(2) Q. 62² - 32² +?² = 3144  [Ans. (5) None of these (18)]

(1) 17         (2) 16          (3) 19         (4) 15           (5) None of these

(3) Q. 12 × 3.5 – 8.5 × 3.2 =?  [Ans. (1) 14.8]

(1) 14.8      (2) 18.4      (3) 69.2      (4) 16.8       (5) None of these

Solution:

Detailed Explanation:

(1) Q. (9.8 × 2.3 + 4.46) ÷ 3 = (?)² [Ans. (1) 3]     

(1) 3       (2) 9       (3) 5        (4) 2         (5) None of these

Solution: 9.8 × 2.3 = (10 – 0.2) × 2.3 = 23 – 0.46

(9.8 × 2.3 + 4.46) ÷ 3 = (?)²

Or, (?)² = 23 – 0.46 + 4.46) ÷ 3

Or, (?)² = 27 ÷ 3

Or, (?)² = 9

Or, (?) = 3 Ans.

(2) Q. 62² - 32² +?² = 3144  [Ans. (5) None of these (18)]

(1) 17         (2) 16          (3) 19         (4) 15           (5) None of these

Solution: 62² - 32² = (62 + 32) × (62 - 32) = 94 × 30 = 2820 [90 × 30 + 4 × 30]

Or, 2820 +?² = 3144

Or, ?² = 3144 - 2820

Or, ?² = 324

Or, ? = 18 Ans.

(3) Q. 12 × 3.5 – 8.5 × 3.2 =?  [Ans. (1) 14.8]

(1) 14.8      (2) 18.4      (3) 69.2      (4) 16.8       (5) None of these

Solution: 12 × 3.5 = 6 × 7 = 42

And, 8.5 × 3.2 = 17 × 1.6 = 27.2 

So, 12 × 3.5 – 8.5 × 3.2 =?

Or, ? = 42 – 27.2 = 14.8 Ans.