“20-20” Quantitative Aptitude | Crack SBI Clerk 2018 Day-84

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“20-20” Aptitude Questions | Crack SBI Clerk 2018 Day-84

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Directions (1-5): Study the following and answer the following questions.

The following line graph shows that the profit percent of two companies X and Y in 2006 to 2011

Note: profit percentage= [(income-expenditure)/expenditure]*100

1. If the incomes of the two companies X and Y in 2007 were equal, then what was the ratio of the expenditure of the companies X and Y in 2007?

  1. 13:12
  2. 13:15
  3. 15:12
  4. 11:12
  5. 14:17

2. The income of company Y in 2006 was Rs 63 lakhs. If the expenditure of company Y in 2008 was half the expenditure of company Y in 2006, then what was the income of company Y in 2008?

  1. Rs 72.3 lakhs
  2. Rs 62.3 lakhs
  3. Rs 57.3 lakhs
  4. Rs 87.3 lakhs
  5. Rs 27.3 lakhs

3. If the profit of company X in 2010 is Rs 67.5 lakhs, then what is the profit of the same company in 2011, whose expenditure is 2/3rd of the expenditure of company X in 2010?

  1. Rs 20 lakhs
  2. Rs 18 lakhs
  3. Rs 15 lakhs
  4. Rs 23 lakhs
  5. Rs 31 lakhs

4. Total income of company Y in all the given years together was Rs 2340 lakhs. What was the total expenditure of company Y in all the given years together?

  1. Rs 52 lakhs
  2. Rs 41 lakhs
  3. Rs 63 lakhs
  4. Rs 45 lakhs
  5. Cannot be determined

5. If the incomes of Company X in 2008 and 2011 were in the ratio 5:7, then what was the ratio of expenditure of the company in these two years?

  1. 110/185
  2. 114/189
  3. 113/184
  4. 111/186
  5. 110/189

6. The ratio of the ages of Manu and Salim 15 years ago was 2:5. The ratio of their ages 5 years hence will be 3:5. Find the ratio of their present ages.

a.12:41

b.23:31

c.62:21

d.21:98

e.31:55

7. What is the cost of covering a spherical bowl of radius 35 meters with a golden sheet cover at the rate of Rs 1.5/m2.

  1. Rs 23300
  2. Rs 13400
  3. Rs 32700
  4. Rs 23100
  5. Rs 12700

8. The ratio of prices of Two TV’s LG and Samsung in the last year was 4:3. In this year, the price of LG is decreased by Rs 10000 and that of Samsung increased by 20 percent, their prices are now in the ratio 5:6, then find the price of LG TV in the last year.

  1. Rs 20000
  2. Rs 92000
  3. Rs 40000
  4. Rs 26000
  5. Rs 50000

9. A man can row 28 km/hr in still water. It takes him thrice as long to move upstream as to downstream the river. Then find the rate of stream.

  1. 32 km/hr
  2. 34 km/hr
  3. 14 km/hr
  4. 17 km/hr
  5. 21 km/hr

10. On selling 400 pens at Rs 3825, there is a profit equal to the cost price of 50 pens. What is the cost price of a pen?

  1. Rs 8.5
  2. Rs 6
  3. Rs 10
  4. Rs 7.5
  5. Rs 11

Directions (11-15): find the missing number in the following number series?

11. 15.6, 16.3, 17.7, 19.8, 22.6, ?

  1. 1
  2. 3
  3. 4
  4. 7
  5. None of these

12. 750,1125,1500,1875, 2250,?

  1. 2555
  2. 2975
  3. 2625
  4. 2875
  5. None of these

13. 2, 8, 17, 30.5, 50.75, ?

  1. 125
  2. 125
  3. 5
  4. 125
  5. None of these

14. 9, 5, 9, 25, 91, ?

  1. 432
  2. 414
  3. 420
  4. 415
  5. None of these

15. 21, 25, 34, 59, 108, ?

  1. 218
  2. 220
  3. 225
  4. 229
  5. None of these

 

Directions (16-20): What will come in place of question mark in the following questions?

  1. (41.99% of 6100.039+83.83) ÷ (30.039% of 1349.847-5.993) =?

a. 52

b.27

c.14

d. 16

e.8

  1. (8262.0142/53.784)+ (624.0203/12.37)*(7156.933/421.028) = 33.99*?

a. 31

b.14

c.16

d.20

e.60

  1. (4175.98)*(3.01/4.32)*(5.02/5.89)*7.09 =? +(16*13)
  1. 18335
  2. 18035
  3. 18284
  4. 18062
  5. 18328

19. 18.982*23.010-197.01+152.90=?

a.273

b.187

c.726

d.632

e.393

  1. (699.9/269.99)*404.99+575.9/12.01=?

a.1683

b.1098

c.1769

d.1573

e.1637

Answers:

Directions (1-5):

  1. Answer: d

Solution:

Let the income of the companies X and Y in 2007 be Rs x.

Also Let us take the expenditure of the company X be E1 and that of the company Y be E2.

Now, 20= [(x- E1)/ E1]*100

x=120 E1/100………….. (1)

Also for company Y,

10 = [(x- E2)/ E2]*100

x= 110 E2/100………….. (2)

From (1) and (2), we have

120 E1/100=110 E2/100

E1/ E2= 110/120

=11/12

Hence E1: E2= 11:12

  1. Answer: e

Solution:

Given that the income of company Y in 2006= Rs 63 lakhs and profit percentage= 50%

Let Rs x be the expenditure of the company Y in 2006.

Then, 50= [(63-x)/x]*100

x = (63-x)*2

3x= 126

x=Rs 42 lakhs

Then in 2008, the expenditure of the company Y= Rs 21 lakhs

Let y be the income of the company Y in 2008.

Then, 30 = [(y-21)/21]*100

63= 10y-210

y= Rs 27.3 lakhs

  1. Answer: a

Solution:

Let x be the expenditure of the company X in 2010.

Given that, the profit of company X in 2010= Rs 67.5 lakhs

(i.e) 22.5/100*x=67.5

x= Rs 300 lakhs

Then the expenditure of the company X in 2011= Rs 200 crores

Now, profit of the company X in 2011= 200*10/100

= Rs 20 lakhs

  1. Answer: e

Solution:

Since we cannot find the income of a company Y for all the years separately, the total expenditure of the same company will not be determined.

  1. Answer: e

Solution:

Given that, Income2008/ Income2011= 5/7

Since the profit percentage of a company X in 2008 is 35% and that of in 2011 is 10%, we have

135% of Expenditure2008/110 % of Expenditure 2011= 5/7

(i.e) Expenditure2008/ Expenditure 2011= 5/7*110/135

= 110/189

  1. Answer: e

Solution:

Let the ages of Manu and Salim 15 years ago be 2x and 5x respectively.

Then, the present age of Manu= (2x+15)

And the present age of Salim= (5x+15)

Now, (2x+15+5)/ (5x+15+5) =3/5

(2x+20)/(5x+20)=3/5

5(2x+20) =3(5x+20)

x=8

Thus present age of Manu= (2x+15) =31

Present age of Salim= (5x+15) =55

Required ratio= 31:55

  1. Answer: d

Solution:

We know that surface area of the sphere= 4πr2.

= 4*22/7*35*35

=15400 m2

Then the cost of covering the spherical bowl= (15400*1.5) = Rs 23100

  1. Answer: c

Solution:

Let the price of LG TV in the last year be 4x and the price of Samsung TV in the last year be 3x.

Then, (4x-10000)/(3x*120/100)=5/6

6(4x-10000) =5(3x*6/5)

6x= 60000

x= 10000

Thus the price of LG TV in the last year =4x= Rs 40000

  1. Answer: c

Solution:

Let the rate of upstream be x km/hr and then rate of downstream be 3x km/hr.

Then, 2x= 28

x= 14 km/hr

(i.e) Rate of upstream= 14 km/hr

And rate of downstream= 42 km/hr

Thus, Rate of stream= ½(42-14)=1/2 *(28)= 14 km/hr

  1. Answer: a

Solution:

Given that profit= Cost price of 50 pens

Now, Total profit= Selling price of 400 pens- Cost price of 400 pens

Cost price of 50 pens = 3825 – Cost price of 400 pens

Cost price of 50 pens+ Cost price of 400 pens=3825

Cost price of 450 pen =3825

Thus, Cost price of 1 pen= 3825/450= Rs 8.5

Directions (11-15):

  1. Answer: A

Sol:

15.6+0.7 =16.3

16.3+1.4 =17.7

17.7+2.1=19.8

19.8+2.8= 22.6

22.6+3.5= 26.1

  1. Answer : C

Sol:

750/2 *3 =1125

1125/3 *4 = 1500

1500/4*5 = 1875

1875/5*6 = 2250

2250/6*7 =2625

(or)

The difference of the difference is 375,

  1. Answer: D

Sol: series follows,

*1.5 + 5

  1. Answer: B

Sol:

*0.5 + 0.5,*1.5+1.5,*2.5+2.5, *3.5+3.5,*4.5 +4.5

  1. Answer: D

Sol:

Difference is prime square = 22, 32, 52, 72, 112

 

Directions (16-20):

  1. Answer: c

Solution:

(42% of 6100+84)÷ (30% of 1350-63) =?

(2562+84) ÷ (405-216) =?

?=14

  1. Answer: a

Solution:

153+ (52*17) =34 *?

153 + 884= 34* ?

1037/34=?

?= 31

  1. Answer: d

Solution:

4176*3/4*5/6*7=?+ 208

18270-208=?

18062=?

  1. Answer: e

Solution:

19*23-197+153=?

437-197+153=?

393=?

  1. Answer: b

Solution:

700/270*405+576/12=?

1050+48=?

1098=?

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