# RRB NTPC - Simplifications

1.

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

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

333(1/3)

2.

Can you find the answer for the below equation
71 + 64 - 66 × 68 / 72

A.) 78.67
B.) 76.67
C.) 72.67
D.) 69.67

Given Question is 71 + 64 - 66 × 68 / 72
when we apply BODMAS RULE to the above question,
we get (Bracket Of Division) 71 + 64 - 66 × ( 68/ 72 ) = 71 + 64 - 66 × 0.94 = 72.67

3.

Half of two third of a number is 90 then what is number

A.) 250
B.) 270
C.) 180
D.) 360

270

4.

210 ÷ 14 ÷ 3 = ?

A.) 4
B.) 5
C.) 6
D.) 7

5

5.

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

((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

6.

Find the value of (√1.21)/(√0.81) + (√1.44)/(√0.49) is

A.) 181/63
B.) 185/61
C.) 185/63
D.) 181/61

(√1.21)/(√0.81) + (√1.44)/(√0.49)
11/9 + 12/7 => (77 + 108)/63 => 185/63

7.

Can you find the answer for the below equation
75 + 67 - 79 / 68 × 66

A.) 71.32
B.) 65.32
C.) 69.32
D.) 67.32

Given Question is 75 + 67 - 79 / 68 × 66
when we apply BODMAS RULE to the above question,
we get (Bracket Of Division) 75 + 67 - ( 79/ 68 ) * 66 = 75 + 67 - 1.16 × 66 = 65.32

8.

The difference of two numbers is 30% of the larger number if the smaller number is 14 the Large one is

A.) 15
B.) 12
C.) 20
D.) 18

20

9.

√7056

A.) 74
B.) 83
C.) 84
D.) 88

84

10.

852.68 − 4.5 + 108.98 = ? − 2132.54

A.) 6078.58
B.) 5225.90
C.) 6258.58
D.) 6088.58

6078.58

11.

Can you find the answer for the below equation
122 / 312 × 302 + 307 - 298

A.) 133.09
B.) 127.09
C.) 124.09
D.) 131.09

Given Question is 122 / 312 × 302 + 307 - 298
when we apply BODMAS RULE to the above question,
we get (Bracket Of Division) ( 122 / 312 ) × 302 + 307 - 298 = 0.39 × 302 + 307-298 = 127.09

12.

Find the value of 302 − 117 = 24.52 + ?

A.) 127.70
B.) 127.65
C.) 182.75
D.) 172.05

182.75

13.

If 13 + 23 + 33 +......+ 103 = 516 then the value of 23 + 43 + 63 + ..... + 203 is

A.) 1013
B.) 1032
C.) 516
D.) 900

2(13 + 23 + 33 + ---------- + 103)
2 × 516 = 1032

14.

0.8 × 42 − 36 × 0.7 = ?

A.) 18.4
B.) 28.4
C.) 8.4
D.) None of these

8.4

15.

If 13 + 23 + ..... + 93 = 1025 then the value of (0.07)3 + (0.14)3 + (0.21)3 + ..... +(0.63)3 Is close to

A.) 0.351575
B.) 0.251575
C.) 2.515575
D.) 3.51575

0.351575

16.

√142 − 92 − 14 = ?

A.) 102
B.) 92
C.) 112
D.) 122

112

17.

√169/65 = 1/?

A.) 3
B.) 5
C.) 7
D.) 9

5

18.

Find the value of 1/(3+1/(3+1/(3-1/3)))

A.) 3/10
B.) 10/3
C.) 27/89
D.) 89/27

1/[3 + (1/(3+1/(3 - 1/3)))]
=> 1/[3 + 1/(3 + 1/(8/3))]
=> 1/[3 + 1/(3 + 3/8)]
=> 1/[3 + 8/27]
=> 1/(89/27)
=> 27/89

19.

√7921

A.) 89
B.) 69
C.) 79
D.) 85

89

20.

√9604

A.) 93
B.) 98
C.) 88
D.) 83