Simplification Questions for Syndicate Bank PO, Canara Bank PO and SBI PO
Directions (Q.15): What will come in the place of question mark (?) in the following quetsions?
Q.1 25^{2} − 30^{2} + 18^{2} = (9 − x)^{2}
(A) − 1
(B) 4
(C) 2
(D) − 6
(E) 5
Q.2 1584 ÷ 36 × 2.5 + √676 = ? − 21
(A) 125
(B) 135
(C) 110
(D) 95
(E) None of these
Q.3 16^{2} + 21^{2} = √?^{4} + 11^{2}
(A) 24
(B) 30
(C) 124
(D) 56
(E) 72
Q.4 30% of 240 + √ ? + 20% of 620 = 211
(A) 196
(B) 144
(C) 121
(D) 225
(E) None of these
Q.5 

+ 

× 

− 

= 

(A) 1602
(B) 1162
(C) 1062
(D) 1620
(E) 1026
Answer 1. (C) 2
Explanation:
25^{2} − 30^{2} + 18^{2} = (9 − x)^{2}
625 − 900 + 324 = (9 − x)^{2}
949 − 900 = (9 − x)^{2}
49 = (9 − x)^{2}
√49 = 9 − x
9 − x = 7
x = 9 − 7 = 2
Answer 2. (E) None of these
Explanation:
1584 ÷ 36 × 2.5 + √676 = ? − 21
44 × 2.5 + 26 = ? − 21
110 + 26 + 21 = ?
? = 115
Answer 3. (A) 24
Explanation:
16^{2} + 21^{2} = √?^{4} + 11^{2}
256 + 441 = √?^{4} + 121
697 − 121 = √?^{4}
576 = √?^{4}
576^{2} = ?^{4}
(24^{2})^{2} = ?^{4}
24^{4} = ?^{4}
? = 24
Answer 4. (D) 225
Explanation:
30% of 240 + √? + 20% of 620 = 211
72 + √? + 124 = 211
√? + 196 = 211
√? = 211 − 196
√? = 15
? = 225
Answer 5. (C) 1062
Explanation:

+ 

× 

− 

= 


+ 

− 

= 


= 


= 

? = 531 × 2 = 1062