Simplification Question and answer for Bank Po
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
- a
= 1
- a –1 = a
- a-1 = 1/a
- a-n = 1/an
- √a = a1/2
- 3√a = a1/3
- n√a = a1/n
- √√a = a1/4
- n√m√p√a = a 1/mnp
- (n√a)m = nam
- (am) n = amn
- am × a n = amn
- am ÷ an = am-n
- (a × b)n = a n × b n
- √a × √b = √a×b
- 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
- √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
- √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
- 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
- 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
- 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
- 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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Practice sets
- √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
- (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)
- [((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)
- 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)
- 352 ÷ 3√125 + 252 ÷ 125 = ?
a. 200 b. 250 c. 150 d. 100 e. None of these (PNB Management Trainee Exam. 28.11.2010)
- (√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)
- (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)
- √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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