Simplifications

1.

If X = 2 + 1/(1+1/(1-1/2))then the value of 4x+7/3 

   A.) 11
   B.) 34/3
   C.) 11 2/3
   D.) 5

Answer: Option 'C'

X = 2 + 1/(1+1/(1-1/2)) 
= 2 + 1/(1+2) 
= 2 + 1/3 
X = 7/3 ==> 4X + 7/3 => 4(7/3) + 7/3 
==> 28/3 + 7/3 
==> 35/3 
==> 11 2/3.

2.

Can you find the answer for the below equation 
76 / 374 × 361 - 368 + 357

   A.) 62.36
   B.) 59.36
   C.) 68.36
   D.) 66.36

Answer: Option 'A'

Given Question is 76 / 374 × 361 - 368 + 357 
when we apply BODMAS RULE to the above question,
we get (Bracket Of Division) ( 76 / 374 ) × 361 - 368 + 357 = 0.2 × 361-368+357 = 62.36

3.

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

4.

Solve(0.76 × 0.76 × 0.76 − 0.008)/(0.76 × 0.76 + 0.76 × 0.2 + 0.04) 

   A.) 0.56
   B.) 0.65
   C.) 0.54
   D.) 0.45

Answer: Option 'A'

0.56

5.

Find the value of (875 233/899) × 899 

   A.) 786588
   B.) 786858
   C.) 786885
   D.) 786885

Answer: Option 'B'

(875 233/899) × 899 
(786625 + 233)/899 × 899 
786858/899 × 899 
786858

6.

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

7.

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

8.

Find the value of [2 − 3(2 − 3)−1]−1

   A.) 0.02
   B.) 0.2
   C.) 0.25
   D.) 0

Answer: Option 'B'

0.2

9.

Find the value of 3/11 × [(1 + 1/3) (1 + 1/4) …………. (1 + 1/120)] is 

   A.) 121
   B.) 11
   C.) 10.6
   D.) 7.82

Answer: Option 'B'

3/11 × [(1 + 1/3) (1 + 1/4) ....... (1 + 1/120)] 
3/11 × [4/3 + 5/4 × ........ 121/120] 
3/11 × 4/3 × 5/4 × .... 121/120 
121/11 = 11.

10.

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

11.

√142 − 92 − 14 = ?

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

Answer: Option 'C'

112

12.

√169/65 = 1/?

   A.) 3
   B.) 5
   C.) 7
   D.) 9

Answer: Option 'B'

5

13.

326-441+1130=?-141

   A.) 1166
   B.) 864
   C.) 1156
   D.) 874

Answer: Option 'D'

874

14.

(1024 − 263 − 233) ÷ (986 − 764 − 156) = ?

   A.) 9
   B.) 6
   C.) 7
   D.) 8

Answer: Option 'D'

8

15.

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

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