Simplification and Approximations Questions For IBPS PO & CLERK

     Simplifications and Approximations

Q1.  4.4 times of 5/16 of 30% of 216 = ?

a. 81.90

b. 83.70

c. 87.30

d.None of these.

Sol- 216 × 30/100 × 5/16 × 4.4 = 89.10

Ans- c

Q2. 7072 ÷ (16% of 884) = 30× 13/12 of (? ÷ 39)

a. 60

b.62

c.65

d. 55

e. 67

Ans- 7072 ÷ (884 ×16)/100 = 30×13/12×?/39

      ? =( 50 ×6 )/5 = 60

Ans- c

Q3. 185 % OF 400 + 35 % OF 240 = ? % OF 1648

a. 85

b.75

c. 125

d. 50

e. None of these.

Sol- 185% of 400 = 100% of 400 + 80% of 400 + 5 % of 400

    We can think above part in form of like this. If you think like this then you can easily do this question in a shortest time.

= 400 + 320 + 4 ×5 = 400 + 320 + 20 = 740

35 % of 240 = 30 % of 240 + 5% OF 240 = 72 + 12= 84

= 740 + 84=824

 Now, 824is how much % of 1648

   ? = (824×100)/ 1648 = 50%

Ans-option c

Note – Above method is only for your mental calculation, you can do all in your mind.

Q4. √(24)˄4 + 224 = ?  × 20^2

a. 20

b.4

c. 2

d.16

e. None

Sol-  24 ×24 + 224 = ?  × 400

       Or, 576 + 224 = ? ×400

      Or, 800/400 = ?   or, ? = 2   

Ans- c

Q5. 2.8 × 1.5 + 8 % OF 250 = ?

a. 24.20

b. 24.02

c. 242.20

d. 2.42

e. None of these.

Sol-   2.8 ( 1 + 0.50 ) +  2.50 ×8  = 2.80 + 1.40 + 20 = 24.20

Ans- a

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Q6. 160 % OF 250 + ? = 120 % OF 400

a.      a.  160

b.     b.  40

c.    c.   80

d.    d.  120

e.    e.  None of these.

Sol-  100 % of 250 + 50 % of 250 + 10 % of 250 + ? =  100 % of 400 + 20 % of 400

       Or, 250 + 125 + 25 +? = 400 + 80

      Or,  400 + ? = 400 + 80 

       Or, ? = 80

 Ans- c

 Q7.  (√? % OF √1764 ×5) = 149.8 – 11.20

     a. √18

     b.  18

     c. 324

     d. 24

     e. None of these.

Sol-  Root ? % × 42 × 5 = 149.80 – 112 = 37.80

       Or, Root ? %  × 210 = 37.80

      Or, Root ? % = 37.80/210 = 0.18

      Or, ? = 324

Ans- c

 Q8.  7072 ÷(16% of 884) = 30 × 13/12 of (? ÷ 39)

a. 60

b.62

c.65

d.55

e.67

 Sol -  7072 ÷ ( 884 ×16)/100 = 30 ×13/12 ×?/39

Or, 50 ×6 = 5 × ?

Or, ? = 300 /5 = 60

Ans- a

 Q9.( 13 + 2 √5 )^2 = ? √5 + 189

a. 26

b. 25

c.52

d.130

e. None of these.

Sol-  169 + 20 + 2× 13 ×2 √5 = ? × √5  + 189

      Or, 189 + 52 √5  = ? × √5 + 189

      Or, ? = 52

Ans- c  

Q10. ?/ √128  = √162/?

a. 12

b. 144

c. 14

d. 196

e. None of these

 Sol- (?)^2 = √(64 ×2) × √(81 ×2)   =  8 ×9 ×2 = 144

      Or, ? = √144 = 12

Ans- a

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Q11. 8743 + 486 ÷18 ×148 = ?

a. 13729

b.12739

c.12729

d. 13279

e. None of these.

Sol - = 8743 + 27 × 148 = 12739

Ans- option b

 Q12. [ (135)^2 ÷ 15 × 39 ]  ÷ ? = 60 ×52

a. 15.1875

b.16.18

c.17.18

d.19

e.20.19

 Sol- [135 × 135/15 × 39 ] ÷ ? = 3120

      Or, 43785 ÷ ? = 3120

      Or, ? = 47385/ 3120 = 15.1875

Ans- option a

Q13. 6348 + 8515 -695 -? = 4312 + 2162

a. 7394

b. 7943

c.7439

d.7434

e.7694

 Sol- Ans- e

 Q14.1272 ÷ ? = 1382 -956-214

 a. 6

 b. 8

c.16

d.18

e.21

 

Sol- 1272/? = 1382 – 1170

       Or, 1272/? = 212      or, ? = 6

Ans- option a

 

Q15. 10 ^37 × 10 ^-33 = 10 ^ ?

a.       4

b.      7

c.       6

d.      5

e.      None of these

Sol-  10 ^(37-33) = 10^?      Or, 10 ^4 = 10^?       Or, ? = 4

Ans- a

Q16. 18.60 × 3 + 7.20 – 16.50 = ? + 21.70

a. 35.70

b. 21.60

c.24.80

d.27.60

e.  None of these.

 

Ans- c

Q17. Cube root of 35937 ×1331 = 121 × ?

a. 443

b. 673

c.363

d.303

e. None of these.

Sol-   cube root of 35937 = 33 

   33 ×11×11×11 = 11×11 ×?

  Or, ? = 33 ×11 = 363

Ans- c

 

Q18. 56 % OF 225 + 20% of 150 = ? – 109

a. 49

b.103

c.53

d.47

e. None of these.

 

Sol -  50 % of 225 + 6% of 225 + 30 = ? – 109

         Or, ?=   126 + 30 + 109 = 265

Ans- e

Q19. 80 % OF 650 – 25 % OF ? = 60% OF 440

a. 1210

b. 1024

c. 1035

d. 1004

e. None of these.

 

Sol- 65 × 8 – 25 % of ? = 44 × 6

      Or, 520 – 264 = 25 % of ?

     Or, 256 = ?/4    or, ? = 256 × 4 = 1024

Ans- b

Q20. 32 % OF 350 = 45 % of 160 + ? 

a. 30

b.40

c.35

d.45

e.50

Sol- 30% of 350 + 2 % of 350 = 40 % of 160 + 5 % of 160 + ? 

      or, 3 × 35 + 2 × 3.50 = 4 × 16 + 5 × 1.60 +? 

     or, 105 + 7 = 64 + 8  + ?

       or, 112 - 72 = ?       or, ? =  40 

Ans- e.

Q21. 10 % OF 2000

a.      a. 10

b.     b. 20

c.    c.   30

d.   d.   200

e.    e.  None

Q22. 0.5% OF 2000.

a.      a. 10

b.     b. 20

c.      c. 10.50

d.    d.  10

e.     e. None of these.

Q23. Multiples of 10% of 2000.

a.       Multiples of 200

b.      Multiples of 20.

c.       Multiples of 2.

d.      Multiples of 4.

e.      None of these.

Q24. 25% OF 2000

a.      a. 50

b.    b.  25

c.     c.  20

d.     d. 10

e.    e.  None of these.

Q25. 50% OF 2000.

a.       1000

b.      500

c.       200

d.      100

e.      None of these.

Q26. 33.33% OF 3000 can be written as

a.     a.  1/3 of 3000.

b.    b.  ½ of the 3000.

c.      c. ¼ of the 3000.

d.    d.  1/5 of the 3000.

e.    e.  None of these.

Q27. 66.66% of 3000 can be written as

a.       2/3 of 3000.

b.      1/3 of 3000.

c.       4/3 of 3000.

d.      5/3 of 3000.

e.      None of these.

Q28. 16.66% of 6000 can be written as

a.     a.  1/6 of 6000.

b.     b. 1/3 of 6000.

c.    c.   2/6 of 6000.

d.   d.   1000.

e.   e.   Both a  and d correct.

Q29. 14.28% of 7000 can be written as

a.       1/7 of 7000.

b.      2/7 of 7000.

c.       3/7 of 7000.

d.      4/7 of 7000.

e.      5/7 of 7000.

Q30. 12.5% OF 8000 can be written as

a.      a. 1/8 of 8000.

b.    b.  1/9 of 8000.

c.    c.   1/10 of 8000.

d.   d.   1/11 of 8000.

e.     e. None of these.

Q31. 11.11% OF 11000 Can be written as

a.      a. 1/11 of 11000.

b.     b. 1/12 of 11000.

c.     c.  1/13 of 11000.

d.      d.1/14 of 11000.

e.     e. None of these.

    Q32. 8.333% OF 1200 can be written as

a.      a. 1/12 of 1200

b.      b.1/13 of 1200.

c.     c.  1/14 of 1200.

d.   d.   1/15 of 1200

e.   e.   None of these.

     Q33.  How do you calculate 125% of any number?

a.       Calculate 100% at first followed by 25%.

b.      Directly multiplying by 5/4.

c.       Both a  and b are correct.

d.      By multiplying by 4/5.

e.      None of these.

      Q34. How do you calculate 75% of any number?

a.       By multiplying by ¾.

b.      First calculate 70% followed by 5 %.

c.       Both a and b are correct.

d.      By multiplying by 4/3.

e.      None of the above.

Q35. Which statement is correct?

a.       30 is 10% of 300.

b.      20 is 20% of 400.

c.       100 is 10% of 1000.

d.      Option a and c are correct.

e.      None of these.