Simplification Questions for Syndicate Bank PO, Canara Bank PO and SBI Clerk 2018 Set- 4

Directions (Q.1-5): What will come in the place of question mark (?) in the following questions?

 

Q.1 [(3)3]5 × 92 ÷ 27 = 3?+6 × 9

(A) 15

(B) 11

(C) 7

(D) 8

(E) 5

 

Q.2 3965 + 464 × 0.75 − 313 = ? + 252

(A) 3025

(B) 3375

(C) 3265

(D) 3735

(E) None of these

Q.3 16
2
3
+
4
5
− 9
1
5
 = ? + 2
2
3

(A) 6.5

(B) 7.5

(C) 5.6

(D) 5.5

(E) 8.5

 

Q.4 [(256)2 ÷ 64 × 36] ÷ 96 = ? × 24

(A) 256

(B) 169

(C) 225

(D) 144

(E) 121

Q.5 4
3
4
+ 2
2
3
− 5
1
6
 = ? + 2

(A) 0.005

(B) 2.5

(C) 0.05

(D) 1.5

(E) None of these

 

Answer 1. (D) 8

Explanation:

[(3)3]5 × 92 ÷ 27 = 3?+6 × 9

315 × [(3)2]2 ÷ 33 = 3?+6 × 32

315 × 34 ÷ 33 ÷ 3= 3?+6

315+4−3−2 = 3?+6

314 = 3?+6

14 − 6 = ?

? = 8

 

Answer 2. (B) 3375

Explanation:

3965 + 464 × 0.75 − 313 = ? + 252

3965 + 348 − 313 = ? + 625

4313 − 313 − 625 = ?

? = 3375

 

Answer 3. (C) 5.6

Explanation:

16
2
3
+
4
5
− 9
1
5
 = ? + 2
2
3
16 − 9 − 2 +
2
3
+
4
5
1
5
2
3
 = ?
5 +
10 + 12 − 3 − 10
            15          .
 = ?
5 +
3
5
 = ?

? = 5.6

 

Answer 4. (A) 256

Explanation:

[(256)2 ÷ 64 × 36] ÷ 96 = ? × 24

256 × 4  × 36 ÷ 96 ÷ 24 = ?

? = 256 × 6 ÷ 16 ÷ 6

? = 16

? = 256

 

Answer 5. (E) None of these

Explanation:

4
3
4
+ 2
2
3
− 5
1
6
 = ? + 2
4 + 2 − 5 +
3
4
 +
2
3
 −
1
6
 = ? + 2
1 − 2 +
9 + 8 − 2
      12     .
 = ?
− 1 +
5
4
 = ?
− 1 + 1 +
1
4
 = ?

? = 0.25

 

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