##
__ARITHMETIC AND DI FOR RBI ASSISTANT AND SBI CLERK MAINS__

__ARITHMETIC AND DI FOR RBI ASSISTANT AND SBI CLERK MAINS__

We bring you the complete and important daily Quant Quiz to achieve more marks in Banking, Insurance, UPSC, SSC, CLAT, Railways and all other competitive Exams. We prepare it based on our daily current affairs.Hope you like it.

1) Prem started the business with an investment of Rs.______. After three
months, Kavin joined the business and invested Rs. 3800. At the end of the year
the total profit earned is Rs. 35000 and the Kavin’s share is Rs._____.

Which of the following satisfies the two blanks given in the questions?

a) Rs.2400, Rs.19000

b) Rs.3600, Rs.18000

c) Rs.2800, Rs.17000

d) Rs.3200, Rs.17000

e) None of these

2) The distance between the station A and B is ______ km. A train leaves
station A for station B and at the same time another train leaves station B for
station A. Both the trains meet 11 hours after they start moving. If the train
that starts from station A is 28 kmph faster than the other one and the ratio
of the speeds of both the trains is ___:___.

Which of the following satisfies the two blanks given in the questions?

a) 583, 4:3

b) 924, 2:1

c) 858, 7:5

d) 759, 4:3

e) None of these

3) A boat can travel 21km upstream in 70 minutes. If the ratio of the
speed of the boat in still water to the speed of the stream is 7:1. The boat
takes _____ hours to cover ____km downstream.

Which of the following satisfies the two blanks given in the questions?

a) 4, 48

b) 3, 72

c) 5, 96

d) 2, 60

e) None of these

4) The train crosses the platform of length _____m and the pole in 24
seconds and 12 seconds respectively. The train crosses the man running in
opposite direction with speed of _____kmph in 9 seconds.

Which of the following satisfies the two blanks given in the questions?

a) 400, 20

b) 300, 18

c) 200, 20

d) 180, 20

e) None of these

5) A and B entered into the business, A invested Rs. 2550 and B invested
Rs.____. After 4 months, A double his investment for next 6 months then
withdrew its investment. If they got total profit of Rs.12200 after a year and
A’s profit share is Rs.____.

Which of the following satisfies the two blanks given in the questions?

a) Rs.2700, Rs.6800

b) Rs.3000, Rs.6400

c) Rs.3200, Rs.7000

d) Rs.2500, Rs.6400

e) None of these

Direction (6-10) : Read the following carefully and answer the questions.

According to A the
census has been taken by the Government for literacy rate in two villages A and
B, total population is 6, 00,000. In which ,the ratio between total numbers of
males to total number of females is 5:3 and the ratio of total population in
village A to village B is 17:13. The ratio of number of males in village A to
number of males in village B is 7:8.Total Ratio of literate to illiterate (in
men) 4:1. Out of total women only 35% are literates. Total percentage of adults
is 80 %( m: f = 5:3) in total population and in remaining 10% are children; all
other peoples are senior citizens.

6. What is the
difference between literate people to total number of senior citizens?

(A).378750

(b).78750

(c).270750

(d).221250

(e).None of these

7. Total number of
literate males in village A (if 45% of literate males are in Village A) is what
percentage of total number of illiterate Females (Approximately)?

(a).97%

(b).89%

(c).92%

(d). 85%

(e).None of these

8. What is the ratio of
males in village B to Adult females in the survey?

(a)5:4

(b)4:5

(c)9:10

(d)10:9

(e).None of these

9. What is the
increase/decrease in percentage of total number children to the difference
between the populations of village A to village B?

(a).85% decrease

(b) 85% increase

(c) 95% increase

(d).95% decrease

(e).None
of these

10. What is the
difference between sum of illiterates and the total population of two villages
A and B?

(a).455500

(b)378750

(c).401200

(d).221250

(e).None of these

__SOLUTIONS__

**1)**

**Answer: a)**

**From Option (A)**

**Profit ratio of Prem and Kavin=2400*12 : 3800*9**

**=16:19**

**Share of Kavin= (19/35)*35000 = Rs.19000**

**This satisfies the given condition.**

**From Option (B)**

**Profit ratio of Prem and Kavin=3600*12: 3800*9**

**=24:19**

**Share of Kavin= (19/43)*35000 = 15465.11**

**This not satisfy the given condition.**

**From Option (C)**

**Profit ratio of Prem and Kavin=2800*12 : 3800*9**

**=56:57**

**Share of Kavin=(57/113)*35000=17654.8**

**This not satisfies the given condition.**

**From Option (D)**

**Profit ratio Prem and Kavin=3200*12 : 3800*9**

**=64:57**

**Share of Kavin=(57/121)*35000=16487.6033**

**This not satisfies the given condition.**

**2)**

**Answer: b)**

**Let Speed of train A=x**

**Speed of train B=y**

**X-y=28**

**From Option (A)**

**x+y=583/11**

**x+y=53**

**2x=81**

**X=40.5**

**Y=12.5**

**Ratio=40.5:12.5=81:25**

**This not satisfies the given condition.**

**From Option (B)**

**x-y =28kmph**

**x+y=924/11=84**

**2x=112**

**X=56**

**Y=56-28=28**

**Ratio=56:28=2:1**

**This satisfies the given condition.**

**From Option (C)**

**x-y =28**

**x+y=858/11=78**

**2x=106**

**X=53**

**Y=25**

**Ratio=53:25**

**This not satisfies the given condition.**

**From Option (D)**

**x-y =28**

**x+y=759/11=69**

**2x=97**

**X=48.5**

**Y=20.5**

**Ratio=48.5:20.5=97:41**

**This not satisfies the given condition.**

**3)**

**Answer: b)**

**Speed of the boat=7x**

**Speed of the stream=x**

**Upstream speed = (7x-x) =6x**

**Downstream speed = (7x+x) =8x**

**Upstream speed, 6x=21*60/70**

**6x=18kmph**

**X=3kmph**

**Downstream speed=8(3) =24kmph**

**From Option (A)**

**Time taken=48/24=2 hr**

**This not satisfies the given condition.**

**From Option (B)**

**Time=72/24=3 hr**

**This satisfies the given condition.**

**From Option(C)**

**Time=96/24=4 hr**

**This not satisfies the given condition.**

**From Option (D)**

**Time=60/24=2.5 hr**

**This not satisfies the given condition.**

**4)**

**Answer: c)**

**Length of the train=x**

**Option (A)**

**Length of the platform = 400 m**

**Train crosses a pole and platform in 24 and 12 seconds respectively,**

**(x+400)/24 = x/12**

**X+400 = 2x**

**X=400 m**

**Speed of the train = 400/12 = 100/3 m/s**

**Train crosses a man and man’s speed x km/hr**

**400/(100/3 +z) = 9**

**400 = 900/3 +9z**

**300/3 = 9z**

**Z= 100/9 = 100/9 * 18/5 = 40 km/hr**

**This option is not satisfies the given condition.**

**From Option (B)**

**Length of the platform = 300 m**

**Train crosses a pole and platform in 24 and 12 seconds respectively,**

**(x+300)/24 = x/12**

**X+300 = 2x**

**X=300 m**

**Speed of the train = 300/12 = 25 m/s**

**Train crosses a man and man’s speed x km/hr**

**300/(25 +z) = 9**

**300 = 225 +9z**

**75 = 9z**

**Z= 75/9 = 75/9 * 18/5 = 30 km/hr**

**This option is not satisfies the given condition.**

**From option(C)**

**Length of the platform = 200 m**

**Train crosses a pole and platform in 24 and 12 seconds respectively,**

**(x+200)/24 = x/12**

**X+200 = 2x**

**X=200 m**

**Speed of the train = 200/12 = 50/3 m/s**

**Train crosses a man and man’s speed x km/hr**

**200/(50/3 +z) = 9**

**200 = 450/3 +9z**

**150/3 = 9z**

**Z= 50/9 = 50/9 * 18/5 = 20 km/hr**

**This option satisfies the given condition.**

**From Option (D)**

**Length of the platform = 180 m**

**Train crosses a pole and platform in 24 and 12 seconds respectively,**

**(x+180)/24 = x/12**

**X+180 = 2x**

**X=180 m**

**Speed of the train = 180/12 = 15 m/s**

**Train crosses a man and man’s speed x km/hr**

**180/(15 +z) = 9**

**180 = 135 +9z**

**45 = 9z**

**Z= 45/9 = 45/9 * 18/5 = 18 km/hr**

**This option is not satisfies the given condition.**

**5)**

**Answer: a)**

**From Option (A)**

**Profit ratio= (2550*4 + 5100*6) : (2700*12)**

**=34:27**

**A’s share= (34/61)*12200= 6800**

**This is satisfies the given condition.**

**From Option (B)**

**Profit ratio = (2550*4 + 5100*6) : (3000*12)**

**=17:15**

**A’s Share= (17/32)*12200=6481.25**

**This is not satisfies the given condition.**

**From Option (C)**

**Profit ratio= (2550*4 + 5100*6): (3200*12) = 17:16**

**A’s share = (17/33)*12200=6284.84**

**This is not satisfies the given condition.**

**From Option (D)**

**Profit ratio= (2550*4 + 5100*6):(2500*12)=34:25**

**A’s share=34/59*12200=7030.5**

**This is not satisfies the given condition.**

**6 - 10**

**Total population = 600000**

**Total Male and Female = (5:3) ,**

**male= 375000**

**Female= 225000**

**Literate male to illiterate male 4:1**

**So Literate male= 300000**

**Illiterate male = 75000.**

**Population of village A to B is 17:13**

**A=340000.**

**B=260000.**

**Males in villages**

**Males in village A to b is 7:8**

**So males in Village A= 175000**

**Males in village B = 200000**

**Females in village:**

**Females in village A : 165000**

**Females in village B =6000**

**Adult is 80%=480000**

**Child is 2%=12000**

**Senior c =108000.**

**Answer: C**

**Literate people = 300000 +78750 =378750**

**Senior Citizens = 108000**

**Difference = 270750**

**7.Answer: C**

**Total literate males = 3, 00, 000.**

**From village A, (45%) = 3, 00,000 *(45/100) =135000**

**Illiterate females = 1, 46,250**

**= (135000/146250) *100 =92.3 =92%**

**8.Answer: D**

**Males in Village B = 2, 00, 000**

**Adult females in survey = 1, 80,000**

**Ratio = 200000:180000 = 10:9**

**9.Answer: A**

**Total number of children = 12,000**

**Difference of populations**

**Of Village A to B = 340000 -260000 =80000**

**= (80,000 -12,000) /80,000 *100**

**= (68/80) *100 = 85%**

**10.Answer: B**

**Sum of Illiterates= 75000+146250 = 2, 21,250**

**Total population = 6, 00,000**

**Difference = 6, 00,000 -2, 21,250 = 378750**