“20-20” Quantitative Aptitude | Crack SBI Clerk / IDBI Executive 2018 Day-67

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“20-20” Aptitude Questions | Crack SBI Clerk / IDBI Executive 2018 Day-67

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  1. Priyanka bought a microwave oven and paid 10% less than its original price. She sold it at 30% profit on the price she paid. What percentage of profit did she earn?
  1. 29
  2. 18
  3. 20
  4. 27
  5. 16
  1. A started business with Rs 45000 and B joined him after certain number of months with a capital of Rs 30000. At the end of a year the profit is divided in the ratio of 2:1. When did B join?
  1. 8
  2. 3
  3. 6
  4. 1
  5. 4
  1. A, B and C started a business with their investments in the ratio 1: 2:4. After 6 month A invested the half amount more as before and B invested the same amount as before while C withdrew ¼ part of his investment. Find the ratio of their profits at the end of the year.
  1. 5: 12: 13
  2. 5: 11: 14
  3. 5: 12: 14
  4. 5: 12: 10
  5. None of these
  1. A and B together can do a work in 8 days, B and C can do together in 6 days while C and A together can do in 10 days. In how many days A alone will complete the work?
  1. 28 ¼ days
  2. 25 2/5 days
  3. 34 2/7 days
  4. 20 ¾ days
  5. None of these
  1. A committee of 5 members consisting of boys and girls is to be formed out of 6 girls and 8 boys. What is the probability that the number of boys in the committee will be less than the number of girls?
  1. 194/5615
  2. 340/1001
  3. 176/3500
  4. 183/1672
  5. 129/2800

 

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

  1. (27 × 10-3)2 × 81 ÷ (310 × 10-3) = 10?
  1. -5
  2. -3
  3. 3
  4. 5
  5. None of these
  1. 729 % of 450 + 158 % of 175 = x + 192
  1. 2854
  2. 3542
  3. 2678
  4. 3196
  5. None of these
  1. (7/4) of? – (3/7) of (28/15) of 2800 = 58 % of 700
  1. 1512
  2. 1785
  3. 2197
  4. 1986
  5. None of these
  1. √x + 18 = (2837 + 788) ÷ 145
  1. 64
  2. 25
  3. 49
  4. 36
  5. None of these

 

  1. 782 – 5372 ÷ 68 =? × 52
  1. 312.4
  2. 240.2
  3. 295.6
  4. 345.8
  5. None of these

Directions (Q. 11 – 15): What value should come in place of question mark (?) in the following number series?

  1. 128, 146, 168, 198, 252, ?
  1. 356
  2. 478
  3. 379
  4. 402
  5. 512
  1. 64, 379, 1889, 7549, ?
  1. 15236
  2. 22639
  3. 18457
  4. 29842
  5. 17548
  1. 54, 72, 94, 132, 206, ?
  1. 344
  2. 312
  3. 376
  4. 408
  5. 424
  1. 101, 109, 282, 1062, ?
  1. 3568
  2. 5174
  3. 4760
  4. 6782
  5. 3950
  1. 720, 120, 24, ? , 2
  1. 8
  2. 6
  3. 4
  4. 12
  5. 14

Directions (Q. 16 – 20) Study the following table carefully and answer the given questions:

Following table shows the total no of students appeared for the certain examination from different schools.

School Total no of students appeared Appeared boys : girls Pass % No of boys passed
P 1200 2 : 3 65 % 320
Q 1500 1 : 1 72 % 460
R 1800 5 : 4 78 % 510
S 2100 1 : 2 86 % 642
T 2700 4 : 5 91 % 1136

 

  1. Find the total no of girls passed from all schools together?
  1. 4459
  2. 3697
  3. 4983
  4. 5115
  5. None of these
  1. Find the total no of students failed from the schools R, S and T?
  1. 847
  2. 1025
  3. 1241
  4. 933
  5. None of these
  1. Total no of girls appeared from School Q and S together is what percentage more/less than the total no of boys appeared from School R and T together?
  1. 27 % more
  2. 56 % less
  3. 27 % less
  4. 56 % more
  5. None of these
  1. Find the ratio between the total no of boys appeared from School P, Q and R together to that of total no of girls appeared from School R, S and T together?
  1. 303 : 412
  2. 223 : 370
  3. 145 : 298
  4. 297 : 395
  5. None of these
  1. Find the approximate percentage of girls passed from School T?
  1. 88 %
  2. 75 %
  3. 91 %
  4. 64 %
  5. None of these

 

Answers:

  1. Answer d

Explanation:     

Let the original price be Rs. 100

Money paid by Priyanka = 100*90/100= Rs. 90

Priyanka sold at = 90*130/100= Rs. 117

Profit earned= 117 – 90 = Rs. 27

Profit percentage = 27*100/100 = 27 %

  1. Answer b

Explanation:

Let the number of months for which B was in the business x

So,

45000*12/30000*x= 2/1

540000/30000x= 2/1

540000= 60000x

x= 540000/60000

x=9 months

So, Number of months after B joined = 3 months

  1. Answer c

Explanation:

The share of A, B and C = [1*6 + (3/2)*6] : [2*6 + 4*6] : [4*6 + 3*6]

= > 15 : 36 : 42

= > 5 : 12 : 14

  1. Answer c

Explanation:

Total units of work= 120

A+B one day work= 15 units

B+C one day work= 20 units

C+ A one day work= 12 units

2(A+B+C) = 47 units

(A+B+C)= 47/2units

A’s one day work= (47/2) – 20= 7/2 units

Time required by A alone= 120/(7/2) = 34 2/7 days

  1. Answer b

Explanation:

Required probability

= 6C4 * 8C1/ 14C5 + 6C3* 8C2/14C5

= 120/2002 + (20*28)/ 2002

= 120/2002 + 560/2002

= 680/2002 = 340/1001

 

Directions (Q. 6 – 10):

  1. Answer b

Explanation:

(33 × 33 × 10-6 × 81) / (310 × 10-3) = 10x

(33 × 33 × 10-6 × 34) / (310 × 10-3) = 10x

10-6 + 3 = 10x

X = -3

  1. Answer d

Explanation:

(729/100)*450 + (158/100)*175 = x + 361

3280.5 + 276.5 – 361 = x

X = 3196

  1. Answer a

Explanation:

7x/4 – (3/7) * (28/15) * 2800 = (58/100)* 700

7x/4 – 2240 = 406

7x/4 = 406 + 2240

7x/4 = 2646

X = 2646*(4/7) = 1512

  1. Answer c

Explanation:

√x + 18 = (2837 + 788) /145

√x + 18 = 3625/145

√x + 18 = 25

√x = 25 – 18 = 7

X = 72 = 49

  1. Answer b

Explanation:

6084 – (5372/68) = 25x

6084 – 79 = 25x

6005 = 25x

X = 6005/25 = 240.2

 

Directions (Q. 11 – 15):

  1. Answer d

Explanation:

The difference of difference is *2, *3, *4,..

The answer is, 402

  1. Answer b

Explanation:

The pattern is, *6 – 5, *5 – 6, *4 – 7, *3 – 8

The answer is, 22639

  1. Answer a

Explanation:

The difference of difference is, 22, 42, 62, 82,..

The answer is, 344

  1. Answer c

Explanation:

The pattern is, *1 + 23, *2 + 43, *3 + 63, *4 + 83,..

The answer is, 4760

  1. Answer b

Explanation:

The pattern is, ÷ 6, ÷ 5, ÷ 4, ÷ 3,..

The answer is, 6

 

Directions (Q. 16 – 20)

  1. Answer a

Explanation:

School Total no of students appeared Appeared boys & girls Passed students No of boys passed No of girls passed
P 1200 480, 720 780 320 460
Q 1500 750, 750 1080 460 620
R 1800 1000, 800 1404 510 894
S 2100 700, 1400 1806 642 1164
T 2700 1200, 1500 2457 1136 1321

 

Required Answer = (460 + 620 + 894 + 1164 + 1321)

= > 4459

  1. Answer d

Explanation:

Total no of students failed from the schools R, S and T,

= > 1800*(22/100) + 2100*(14/100) + 2700*(9/100)

= > 396 + 294 + 243

= > 933

  1. Answer c

Explanation:

Total no of girls appeared from School Q and S together,

= > 750 + 1400 = 2150

Total no of boys appeared from School R and T together,

= > 1000 + 1200 = 2200

Required % = [(2200 – 2150)/2200]*100

= > (50*100)/2200

= > 2.27 % less

  1. Answer b

Explanation:

The total no of boys appeared from School P, Q and R together,

= > 480 + 750 + 1000 = 2230

The total no of girls appeared from School R, S and T together,

= > 800 + 1400 + 1500 = 3700

Required ratio = 2030: 3700

= > 223: 370

  1. Answer a

Explanation:

Total no of appeared students = 2700

9’s = 2700

1’s = 300

Total no of girls appeared for examination from School T is,

= > 5’s = 1500

Total no of passed students from School T is,

= > 1321

Required % = (1321/1500)*100 = 88.06 % = 88 %

 

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