Simplfications 

Some Model Questions 

Directions (Q.No.1-20): What should come in place of question mark (?) in the following questions?

Ans: 2
Exp:

2. 750 ÷ 375 × (25)² = ?
Ans: 1250
Exp:

3. (25)³ ÷ 625 × 5⁵ = (5)?
Ans: 7
Exp:
 
 

4. 8476 - 2334 + 3297 = ? + 6447
Ans: 2992
Exp:
? = 8476 - 2334 + 3297 - 6447 = 2992
 

5. 23 × 15 ÷ 25 - ? + 48.2 = -35
Ans: 97
Exp:

6. ?% of 450 - 118 = 8
Ans: 28
Exp:

7. (64)² × 8² = (?)²
Ans: 2
Exp:

Ans: 892
Exp:

9. (6 × 15) - (8 × 6) -18 = ? ÷ 3
      1) 24       2) 64       3) 12       4) 36       5) None
Ans: 5 (None)
Exp:
(6 × 15) - (8 × 6) - 18 = ? ÷ 3
⇒ 90 - 48 - 18 = ? ÷ 3
⇒ ? = 72
 

10. 1587 + 2277 = ? ÷ 69
Ans: 56
Exp:

Ans: 2
Exp:

Ans: 4
Exp:

13. 483 ÷ 23 ÷ 3 = ?
Ans: 7
Exp:

      1) 12       2) 144       3) 64       4) 24       5) None
Ans: 5 (None)
Exp:

Ans: 187.5
Exp:

16. (15 × 35.2 × 4) ÷ 12 = (?)² - 20
Ans: 14
Exp:

17. 17^10.5 × 17^5.1 ÷ 17^1.2 = 17^?
Ans: 14.4
Exp:
17^10.5 × 17^5.1 ÷ 17^1.2 = 17^?
⇒ 17^{10.5+ 5.1 - 1.2} = 17^?
⇒ ? = 10.5 + 5.1 - 1.2 = 14.4
 

18. 14.2 × 8.5 × 12.4 = ?
Ans: 1496.68

Ans: 2401
Exp:

       1) 30        2) 90        3) 225       4) 120        5) None of these
Ans: 5 (None of these)
Exp: