RRB NTPC - Simplifications

1.

Find the value of
((0.1)3 + (0.6)3 + (0.7)3 − (0.3)(0.6)(0.7))/((0.1)2 + (0.6)2 + (0.7)2 − 0.006 − 0.42 − 0.07)

   A.) 14/10
   B.) 1.35
   C.) 13/10
   D.) 0

Answer: Option 'A'

((0.1)3 + (0.6)3 + (0.7)3 − (0.3)(0.6)(0.7))/((0.1)2 + (0.6)2 + (0.7)2 − 0.006 − 0.42 − 0.07)
=> (0.1 + 0.6 + 0.7)3/(0.1 + 0.6 + 0.7)2
=> 0.1 + 0.6 + 0.7 => 1.4 = 14/10

2.

√(4.9 − 0.49) = ?

   A.) 10.42
   B.) 5.84
   C.) 12.84
   D.) None of these

Answer: Option 'D'

None of these

3.

Find the value of (2 − 1/3) (1 − 1/4)(1 − 1/5)……… (1 − 1/99)(1 − 1/100) 

   A.) 1/50
   B.) 1/25
   C.) 1/20
   D.) 1/40

Answer: Option 'C'

(2 − 1/3) (1 − 1/4)(1 − 1/5)..... (1 − 1/99)(1 − 1/100)
5/3 × 3/4 × 4/5 × ....... 98/99 × 99/100 = 5/100 = 1/20

4.

If 15% of 30% of a number is 15, the number is

   A.) 333
   B.) 300
   C.) 333(1/3)
   D.) 334

Answer: Option 'C'

333(1/3)

5.

√169/65 = 1/?

   A.) 3
   B.) 5
   C.) 7
   D.) 9

Answer: Option 'B'

5

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