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Simplification Question and answer for Bank Po

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Simplification Question and answer for Bank Po and SSC, RBI, and other government exam.

BODMAS (Brackets of division, multiplication, addition and subtraction)

  • First we solve brackets.
  • Secondly we solve powers ( square root, cube root, squares, cubes, etc.).
  • After that we solve multiplication or division (which comes first) from left to right .
  • And finally we solve addition or subtraction (which comes first)  from left to right .

Rules of power

  • xa × xb = xa + b
  • xa/xb = xa – b
  • (xa)b = xab
  • n√x = x1/a
  • In the expression like this xabc, we solve it from upper side i.e. first we solve bc and then abc and so on

Basic formula of indices

  1. a  = 1
  2. a –1 = a
  3. a-1 = 1/a
  4. a-n = 1/an
  5. √a = a1/2
  6. 3√a = a1/3
  7. n√a = a1/n
  8. √√a = a1/4
  9. n√m√p√a = a 1/mnp
  10. (n√a)m = nam
  11. (am) n = amn
  12. am × a n = amn
  13. am ÷ an = am-n
  14. (a × b)n = a n × b n
  15. √a × √b = √a×b
  16. ax = ay if only if when x=y

Memorize this

22 = 4                        26 = 64 = 82        210 = 1024=322 (1mb=1024kb)    

23 =8                        27 = 128                 211 = 2048    

24 =16                      28 = 256 = 162       212 = 4096 = 163

25=32                      29 = 512 = 83

32 =9                      

33 =27

34 =81

35 =243

Following Question Prepared by Best Bank Coaching in Noida

Short tricks to find square roots

First remember the squares from 1 to 9

12 = 1

22 = 4

32 = 9

42 = 16

52 = 25

62 = 36

72 = 49

82 = 64

92 = 81

  1. √2809 =  ?

Following Question prepared

First check the unit place of this number (which is 9)

3^2 = 9

And 7^2 = 49

The unit place of the number is 3 or 7

Ignore the last two digits (09)

Remaining digits = 28

Now 28 is in between 5^2 and 6^2

5*6 = 30 > 28

Since 28 is small than 30 so we take smaller one in 3 and 7

√2809 =  53

  1. √5776 = ?

57 and 76

4^2 = 16   and  6^2 = 36

7^2 < 57 < 8^2

7*8 = 56 < 57

Since 57 is greater than 56, so we take larger in 4 and 6

√5776 = 76

  1. 12544 = ?

125 and 44

22 = 4 and 82 = 64

125 lies between the squares of 11 and 12

11*12 = 132 > 125

Since 125 is smaller than 132, so we take smaller in 2 and 8

√12544 = 112

Short tricks to find cube roots

First remember the cubes from 1 to 9

13 = 1

23 = 8

33 = 27

43 = 64

53 = 125

63 = 216

73 = 343

83 = 512

93 = 729

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Simplification Question and answer for Bank Po

  1. 3√2744

First check the unit place of the given number (which is 4)

Now find from the above cubes that which cubes has unit place 4 (which is 4)

So unit digit of our cube root is 4

Now ignore the last three digits 744

Remaining digits = 2

Now 13< 2 < 23

So our cube root is 14

  1. 3√17576

Unit place of this number = 6

So unit place of our cube root is 6 (63= 216)

Ignore the last three digits

Remaining digits = 17

23 < 17 < 33

So our cube root is 26

  1. 3√778688

Unit place of this number = 8

So unit place of our cube root is 2 (23= 8)

Ignore the last three digits

Remaining digits = 778

93< 778 < 103

Our cube root is 92

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  1. √186624/√2916 = (?)3

a. 512          b. 343         c. 729            d. 216           e. None of these

2. 7586 + 6532 + 458 +253 = 5624 + 8542 + ?

a. 753          b. 689         c. 663           d.452             e. 894

3. √678976 = ?

a. 854           b. 924        c. 824           d. 836              e. None of these

4. 47 × 256 ÷ 64 = 1024 4?

a. 2                 b. 3            c. 4               d. 5                    e. None of these

5. How much part of a year (365 days) is 36 hours and 30 minutes ?

a. 1/360        b. 1/300   c. 1/180       d. 1/240            e. 1/290

6. 62 15 – 173 –2? = 19

a. 7                 b. 4             c. 5              d. 2                      e. None of these

  1. (47 × 588) ÷ (28 × 120) = ?

a. 6.284         b.7.625           c. 8.225          d. 8.285           e. None of these                                                (Bank of Maharashtra PO Exam. 25.05.2008)

8. √72 × 24 × 2 – 113 + 3 = ?

a. 42                 b. 1024        c. 1764         d. 102                 e. 32                                                                                      (Allahabad Bank PO Exam. 17.04.2011)

9. Raveena could get equal number of Rs. 55, Rs. 85 and Rs. 105 tickets for a movie, she spent Rs. 2,940 for all the tickets, how many of each did she buy ?

a. 12                b. 18              c. 16                   d. Cannot be determined                              e. None of these                               (IBPS Bank PO Exam. 18.09.2011)

  1. [((5)3)8]4 = 25?

a.25            b. 50             c. 46                  d. 28               e. 48

11. 4√456976 = ?

a. 28          b. 24             c. 26                    d. 27                e. 25

12. [(3024 ÷ 189)1/2 + (684 ÷ 19)2 = (?)2 + 459

a. -27         b. -29           c. 31                     d. 841              e. 1089

13. 1478.4 ÷ 56 + 66.8 × 57 = (?3) + (34 × 34.5)

a. 785        b. 887           c. 889              d. 989               e. 885

14. 3√5732 × √4 × 3√45856 = ?

a.1156       b. 1444          c. 1296            d. 1681             e. None of these

15. {(453 + 65)2} ÷ ? = 1907

a. 80         b. 70              c. 60                d. 50               e. None of these                                                                            (Andhra Bank PO Exam. 14.09.2008)

  1. 0.01 × 0.1 – 0.001 ÷ 10 + 0.01 = ?

a. 0.01009           b. 0.0101         c. 0.19            d. 0.109       e. 0.0109                                                                         (Corporation Bank PO Exam. 22.11.2009)

  1. 352 ÷ 3√125 + 252 ÷ 125 = ?

a. 200                b. 250                 c. 150           d. 100           e. None of these                                                     (PNB Management Trainee Exam. 28.11.2010)

  1. (√7 – √49)1/3 + (16)1/3 = (7 )1/3 + (?)2 – 221

a. 15          b. 19          c. 12            d. 11             e. 17

19. (√7 – 4)2 = ? + √63 + √28

a. 23 + 77          b.23 + 117           c. 23 – 137         d. 23          e. None of these

20. 1111.1 + 111.11 + 11.111  = ?

a. 1232.231      b. 1233.123      c. 1332.331    d. 1323.132        e. None of these                                                                 (Indian Bank PO Exam. 02.01.2011)

  1. (4 × 4)3 ÷ (512 ÷ 8)4 × (32 × 8)4 = 22 + 4?

a. 8         b. 12           c. 6        d. 14                e. None of these

22. 3√2000376 = ?

a. 136           b. 126      c. 146        d. 116               e. None of these

23. What should come in place of the question mark ? in the following question ?

25% of 1245 + ?% of 718 = 420

a. 15           b. 18           c. 22           d. 20           e. 11                                                                                                    (SBI Associate Banks PO Exam. 14.02.1999)

  1. √714025 + √698896 = ?2

a. 61           b. 46          c. 39         d. 41              e. 51

25. The cost of 7 tables and 12 chairs is Rs. 48,250. What is the cost of 21 tables and 36 chairs ?

a. 96,500                      b. 1,25,500                    c. 1,44,750                      d. Cannot be determined

e. none of these                                                                                                                                                 (SBI PO Preliminary (tier-1) Exam. 27.04.2008)

               Answere 

1. a 9. a 17. b 25. c
2. c 10. e 18. a
3. c 11. c 19. c
4. b 12. b 20. e
5. d 13. b 21. c
6. a 14. c   22. b
7. c 15. d 23. a
8. e 16. e 24. d

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