“20-20” Quantitative Aptitude | Crack SBI Clerk / IDBI Executive 2018 Day-49

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“20-20” Aptitude Questions | Crack SBI Clerk / IDBI Executive 2018 Day-49

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Directions (Q. 1-5): What approximate value should come in place of question mark (?) in the following questions?

  1. (7543.67 + 8497.01 +3253.99) ÷ (407 + 381 + 252) = ?
  1. 25
  2. 18
  3. 30
  4. 9
  5. 14 
  1. 7 7/9 of [9873 – 3395] + 367.75 = ? + 2799.67
  1. 32670
  2. 25890
  3. 42860
  4. 47970
  5. 38900
  1. 589 % of 749.99 + 366.5 % of 5284.71 – 2482 =?
  1. 21400
  2. 26800
  3. 32700
  4. 15300
  5. 38900
  1. (31.97)2 × (63.7)1/3 × (47.79)2 ÷ (27 × (11.73)2) = 2x
  1. 6
  2. 4
  3. 9
  4. 7
  5. 8
  1. √x + 18.01 = (2397.81 + 93.1) ÷ 99.9
  1. 38
  2. 49
  3. 27
  4. 52
  5. 19

Directions (Q. 6 – 10): What value should come in place of (?) in the following questions (?)

  1. 750, 150, 15, ? , 0.05, 0.002
  1. 1
  2. 8
  3. 4
  4. 5
  5. 3
  1. 36, 38, 118, 596, 4180, ?
  1. 8956
  2. 12678
  3. 23780
  4. 29452
  5. 37630 
  1. 107, 112, 119, 130, 143, 160, ? , 202
  1. 162
  2. 174
  3. 179
  4. 168
  5. 176
  1. 75, 84, 111, 192, 435, ?
  1. 1164
  2. 2136
  3. 1862
  4. 2848
  5. 3136
  1. 82, 83, 174, 549, ?
  1. 1658
  2. 2260
  3. 3170
  4. 1930
  5. 2976

  1. P, Q, R started a business with investments of Rs 1600, Rs 2100 and Rs 1500 respectively. After 8 months from the start of the business, Q and R invested additional amounts in the ratio of 3:5 respectively. If the ratio of total annual profit to R’s share in the annual profit was 3:1 then what was the additional amount invested by Q after 8 months?
  1. 250
  2. 900
  3. 150
  4. 600
  5. 560
  1. A person purchased a mouse at Rs x and keyboard at Rs x+100. He sold the mouse at a profit of 20% and keyboard at a loss of 10%, and earned Rs 70 as profit on the whole transaction then, what is the profit earned by selling the mouse?
  1. 250
  2. 210
  3. 150
  4. 600
  5. 160
  1. 3 men and 2 women can finish a piece of work in 4 days, while 2 men and 3 women can do the same work in 5 days. A woman gets Rs 60 per day for her work. What is the amount received by one man in a day?
  1. 250
  2. 210
  3. 150
  4. 600
  5. 560 
  1. In how many ways the letters of the word ‘MOBILE’ be arranged so that the vowel and consonants occupy alternate positions?
  1. 56
  2. 20
  3. 90
  4. 72
  5. 56
  1. A shopkeeper purchased two variety of rice A and B at Rs 40 per kg and Rs x per kg. He mixed the two varieties of this rice in the ratio of 2:3 and sold the mixture at a rate 30 per kg which earned him a profit of 20% then find the value of x?
  1. 25
  2. 21
  3. 12
  4. 6
  5. 15

 

Directions (Q. 16 – 20): Study the following pie-charts carefully and answer the questions given below:

Number of students studying in different colleges in the year 2013 and 2014 from state ‘A’

  1. What was the percentage increase in the number of students in college C5 in the year 2014 while comparing with 2013?
  1. 45%
  2. 40%
  3. 48%
  4. 50%
  5. 42%
  1. In which of the following colleges was the per cent increase in the number of students, the minimum in 2014 while comparing with 2013?
  1. C2
  2. C6
  3. C4
  4. C7
  5. C1
  1. In which college there was decrease in the number of students from 2013 to 2014?
  1. C6
  2. C1
  3. C4
  4. C2
  5. C3
  1. In the year 2013, the number of students studying in college C1 and C2 together is approximately what percent of the number of students studying in these colleges together in 2014?
  1. 78%
  2. 75%
  3. 72%
  4. 81%
  5. 88%
  1. What was the ratio of the number of students studying in college C6 in year 2013 to that in 2014 in the same college?
  1. 25 : 26
  2. 25 : 27
  3. 23 : 26
  4. 22 : 27
  5. 23 : 25

Answers:

Directions (Q. 1-5):

  1. Answer b

(7544 + 8497 + 3254) ÷ (407 + 381 + 252) = x

X = 19295 ÷ 1040

X = 18

  1. Answer d

(70/9)* 6478 + 368 = x + 2800

50400 + 368 – 2800 = x

X = 47968 = 47970

  1. Answer a

(590/100) * 750 + (367/100)*5285 – 2482 = x

X = 4425 + 19451 – 2482

X = 21394 = 21400

  1. Answer c

(32)2 × (64)1/3 × (48)2 ÷ (27 × (12)2) = 2x

(32*32*4*48*48)/ (27 * 12 * 12) = 2x

(25 * 25 * 26)/ 27 = 2x

216 – 7 = 2x

29  = 2x

X = 9

  1. Answer b

√x + 18 = (2398 + 93) ÷ 100

√x = 25 – 18

√x = 7

X = 49

 

Directions (Q. 6 – 10):

  1. Answer a

The pattern is, ÷ 5, ÷ 10, ÷ 15, ÷ 20,..

The answer is, 1

  1. Answer e

The pattern is, *1 + 2, *3 + 4, *5 + 6, *7 + 8, *9 + 10,..

The answer is, 37630

  1. Answer c

The difference is, 5, 7, 11, 13, 17, 19, 23,..(Prime numbers)

The answer is, 179

  1. Answer a

The pattern is, +32, +33, +34, +35, +36,..

The answer is, 1164

  1. Answer b

The pattern is, *1 + 13, *2 + 23, *3 + 33, *4 + 43,..

The answer is, 2260

 

  1. Answer b

Let the ratio additional amount of Q and R be 3x and 5x

So,

Ratio of profit A: B: C

= 1600*12: 2100*8 + (2100+3x) *4: 1500*8 + (1500 + 5x) *4

= 19200: 16800+ 8400+12x: 12000+ 6000+ 20x

So,

(62400+ 32x)/(18000+20x)= 3/1

60x+ 54000= 32x + 62400

28x= 8400

x= Rs 300

So, Q investment after 8 months = 3*300= Rs 900

  1. Answer e

Selling price of mouse= x*120/100= 1.2x

Selling price of keyboard= (x+100)* 90/100= (x+100)* 0.9

So,

Profit= SP- CP

=1.2x+0.9x + 90 – x-x -100= 70

= 0.1x -10= 70

= 0.1x= 80

= x= 80/0.1

= x= 800

So the profit earned by selling the mouse= 800*120/100 – 800= Rs 160

  1. Answer b

By the rule of M.D.H

(3M+ 2W)* 4= (2M+3W)*5

12M + 8W= 10M + 15W

2M= 7W

M/W = 7/2

So the efficiency of men and women= 7:2

Wages earned by one man in one day= 60*7/2= Rs 210

  1. Answer d

In the word ‘MOBILE’ there are 3 vowels and 3 consonants.

Number of ways vowels can be arranged= 3! = 3*2= 6

Number of ways consonants can be arranged= 3! = 3*2= 6

Required number of ways = (6*6)* 2! = 72 ways

  1. Answer e

Cost price of mixed variety= 30*100/120= Rs 25

By the rule of allegation,

x- 25 / 25- 40= 2/3

3x- 75= -30

3x= -30+75

3x= 45

x= Rs 15

 

Directions (Q. 16 – 20):

  1. Answer d

Number of students in college C5

In 2014 = 15/100 * 30000 = 4500

In 2013, 12/100 * 25000 = 3000

Required % Increase = (4500 – 3000)/3000 * 100 = 50%

  1. Answer b

For 2013:

C1 —- 17 × 250 = 4250

C2 —- 20 × 250 = 5000

C3 —- 21 × 250 = 5250

C4 —- 10 × 250 = 2500

C5 —- 12 × 250 = 3000

C6 —- 15 × 250 = 3750

C7 —- 5 × 250 = 1250

For 2014:

C1 —- 16 * 300 = 4800

C2 —- 22 * 300 = 6600

C3 —- 20 * 300 = 6000

C4 —- 8 * 300 = 2400

C5 —- 15 * 300 = 4500

C6 —- 13 * 300 = 3900

C7 —- 6 * 300 = 1800

Percentage Increase

C1 —- 12.94%

C2 —- 32 %

C3 —- 14.28%

C4 —- 4 % Decrease

C5 —- 50%

C6 —- 4%

C7 —- 44 %

Hence, minimum increase is in the college C6

  1. Answer c

Hence, decrease is in the college C4.

  1. Answer d

Required % = [(17 + 20) * 250]/[(16 + 22) * 300] * 100 = 81% approx

  1. Answer a

Required ratio = 15 × 250 : 13 × 300 = 25 : 26

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