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

Answer: Option 'C'

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

Answer: Option 'C'

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

Answer: Option 'B'

270

4.

210 ÷ 14 ÷ 3 = ?

   A.) 4
   B.) 5
   C.) 6
   D.) 7

Answer: Option 'B'

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

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

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

Answer: Option 'C'

(√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

Answer: Option 'B'

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

Answer: Option 'C'

20

9.

√7056

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

Answer: Option 'C'

84

10.

852.68 − 4.5 + 108.98 = ? − 2132.54

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

Answer: Option 'A'

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

Answer: Option 'B'

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

Answer: Option 'C'

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

Answer: Option 'B'

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

Answer: Option 'C'

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

Answer: Option 'A'

0.351575

16.

√142 − 92 − 14 = ?

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

Answer: Option 'C'

112

17.

√169/65 = 1/?

   A.) 3
   B.) 5
   C.) 7
   D.) 9

Answer: Option 'B'

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

Answer: Option 'C'

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

Answer: Option 'A'

89

20.

√9604 

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

Answer: Option 'B'

98


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