# IBPS Clerk 2018 Mains: Quants Test Day 2

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- Question 1 of 10
##### 1. Question

1 pointsCategory: Quantitative Aptitude**Every month Daniel spends 20% of his monthly income in paying rent and 30% on shopping of groceries. Out of the remaining, he invests in mutual fund and savings in the respective ratio of 9:7. If in a year, he deposited a total of Rs 124200 in mutual fund, how much did he pay as rent in a year?**CorrectAnswer –

**4) Rs 88320**

Explanation:

Let the monthly income of Daniel= Rs X

124200 = X *(100-20-30)/100 * 9/16 * 12

X = Rs 36800

Daniel spent on paying rent in a year = 36800 * 20/100*12= Rs 88,320IncorrectAnswer –

**4) Rs 88320**

Explanation:

Let the monthly income of Daniel= Rs X

124200 = X *(100-20-30)/100 * 9/16 * 12

X = Rs 36800

Daniel spent on paying rent in a year = 36800 * 20/100*12= Rs 88,320 - Question 2 of 10
##### 2. Question

1 pointsCategory: Quantitative Aptitude**The total time taken by a watercraft to travel ‘a’ km downstream and ‘a-5’ km upstream was 285 minutes. If the difference between downstream speed of the watercraft and the upstream speed is 12 kmph and the respective ratio between speed of watercraft in still water and speed of water current was 7:3, what is the value of ‘a’**CorrectAnswer –

**2) 30.7**

Explanation:

Let the speed of watercraft in still water =7x

Speed of current = 3x

Speed in downstream = (7x+ 3x)

Speed in upstream = (7x-3x)

(7x+3x)-(7x-3x)=12

x = 2

a/(7x+3x) + (a-5)/(7x-3x)=285/60

a = 30.7 kmIncorrectAnswer –

**2) 30.7**

Explanation:

Let the speed of watercraft in still water =7x

Speed of current = 3x

Speed in downstream = (7x+ 3x)

Speed in upstream = (7x-3x)

(7x+3x)-(7x-3x)=12

x = 2

a/(7x+3x) + (a-5)/(7x-3x)=285/60

a = 30.7 km - Question 3 of 10
##### 3. Question

1 pointsCategory: Quantitative Aptitude**The Cost Price(CP) of watch B is 20% more than that of watch A, watches A & B were marked up by 50% and 25% respectively. Watch A was sold at a discount of 5 % and watch B was sold at discount of 9%. If the SP of watch A was Rs 30 more than the SP of watch B, then what was the CP of watch A ?**CorrectAnswer –

**3) Rs 500**

Explanation:

Let the cost price of Watch A= Rs X

CP of Watch B = X * 120/100= 6X/5

MP of Watch A= X * 150/100=3X/2

MP of Watch B = 6X/5 * 125/100= 3X/2

(3X/2 * 95/100 )- (3X/2 * 91/100) = 30

X= 500IncorrectAnswer –

**3) Rs 500**

Explanation:

Let the cost price of Watch A= Rs X

CP of Watch B = X * 120/100= 6X/5

MP of Watch A= X * 150/100=3X/2

MP of Watch B = 6X/5 * 125/100= 3X/2

(3X/2 * 95/100 )- (3X/2 * 91/100) = 30

X= 500 - Question 4 of 10
##### 4. Question

1 pointsCategory: Quantitative Aptitude**A sum of money was invested for “X” years in scheme A offering simple interest . The amount received after “X” years was twice the sum of money invested in the scheme. What will be the amount received for scheme A, when a sum of Rs 6450, is invested for “2X” years.**CorrectAnswer –

**4)19350**

Explanation:

Amount * 100 =P(100 + RX)

2P *100= P (100+RX)

R= 100/T

Amount*100= P(100+RX)

Amount*100=6450 {100 + 100/X *2X)}

Amount= 19350IncorrectAnswer –

**4)19350**

Explanation:

Amount * 100 =P(100 + RX)

2P *100= P (100+RX)

R= 100/T

Amount*100= P(100+RX)

Amount*100=6450 {100 + 100/X *2X)}

Amount= 19350 - Question 5 of 10
##### 5. Question

1 pointsCategory: Quantitative Aptitude**Rahul’s age after 17 years will be 6 years less than twice his present age. The respective ratio between Suresh’s present age and Gokul’s present age is 21:19. If Gokul’s age 31 years hence will be same as three times Rahul’s present age. what will be Suresh’s age 8 years hence.**CorrectAnswer –

**5) 50**

Explanation:

Let Rahul’s present age = X years

X+17= 2X-6

X=23 years

Suresh’s present age = 21Y

Gokul’s present age = 19Y

19Y + 31 = 3 * 23

Y=2 years

Suresh’s age 4 years hence = (21*2)+ 8 = 50 yearsIncorrectAnswer –

**5) 50**

Explanation:

Let Rahul’s present age = X years

X+17= 2X-6

X=23 years

Suresh’s present age = 21Y

Gokul’s present age = 19Y

19Y + 31 = 3 * 23

Y=2 years

Suresh’s age 4 years hence = (21*2)+ 8 = 50 years - Question 6 of 10
##### 6. Question

1 pointsCategory: Quantitative Aptitude**Directions.Q(6-10) Study the following information and answer the questions given below.**A college consisting of 1560 students has boys and girls in the ratio of 7:5 respectively. All the students are enrolled for different Places via Ooty, Kodaikanal and Goa. One fifth of the boys are enrolled for only Kodaikanal tour. Twenty percent of the girls are enrolled for only Goa tour. Ten percent of the boys are enrolled for only Ooty tour. Twenty four percent of the girls are enrolled for both Ooty and Kodaikanal tour together. The number of girls enrolled for only Ooty tour is two hundred percent of the boys enrolled in the same. One–thirteenth of the boys are enrolled for all the three tours together. The respective ratio of boys enrolled for Kodaikanal and Goa tour together to the girls enrolled for the same is 2:1 respectively. Ten percent of the girls are enrolled for only Kodaikanal tour where as eight percent of the girls are enrolled for both Kodaikanal and Goa tour together. The remaining girls are enrolled for all the three tours together. The number of boys enrolled for Ooty and Kodaikanal tour together is fifty percent for the same. The remaining boys are enrolled for only Goa tour

**What is the respective ratio of the number of girls enrolled for only Goa tour and number of boys enrolled for Kodaikanal tour together to the number of boys enrolled for the Goa tour and number of girls enrolled for Kodaikanal tour together?**CorrectAnswer –

**3) 52 : 75**

Explanation:

Required ratio = (130+182) : (385+65)= 52 : 75IncorrectAnswer –

**3) 52 : 75**

Explanation:

Required ratio = (130+182) : (385+65)= 52 : 75 - Question 7 of 10
##### 7. Question

1 pointsCategory: Quantitative Aptitude**Directions.Q(6-10) Study the following information and answer the questions given below.**A college consisting of 1560 students has boys and girls in the ratio of 7:5 respectively. All the students are enrolled for different Places via Ooty, Kodaikanal and Goa. One fifth of the boys are enrolled for only Kodaikanal tour. Twenty percent of the girls are enrolled for only Goa tour. Ten percent of the boys are enrolled for only Ooty tour. Twenty four percent of the girls are enrolled for both Ooty and Kodaikanal tour together. The number of girls enrolled for only Ooty tour is two hundred percent of the boys enrolled in the same. One–thirteenth of the boys are enrolled for all the three tours together. The respective ratio of boys enrolled for Kodaikanal and Goa tour together to the girls enrolled for the same is 2:1 respectively. Ten percent of the girls are enrolled for only Kodaikanal tour where as eight percent of the girls are enrolled for both Kodaikanal and Goa tour together. The remaining girls are enrolled for all the three tours together. The number of boys enrolled for Ooty and Kodaikanal tour together is fifty percent for the same. The remaining boys are enrolled for only Goa tour

**Number of girls enrolled for only Kodaikanal, Ooty and Goa tour together is approximately what percent of the boys together enrolled for the same?**CorrectAnswer –

**2) 57%**

Explanation:

Number of girls for only Kodaikanal, Ooty and Goa tour = 130+182+65 = 377

Number of boys for only Kodaikanal, Ooty and Goa tour = 385+9+182 = 658

Required per cent = (377 *100)/658= 57.29IncorrectAnswer –

**2) 57%**

Explanation:

Number of girls for only Kodaikanal, Ooty and Goa tour = 130+182+65 = 377

Number of boys for only Kodaikanal, Ooty and Goa tour = 385+9+182 = 658

Required per cent = (377 *100)/658= 57.29 - Question 8 of 10
##### 8. Question

1 pointsCategory: Quantitative Aptitude**Directions.Q(6-10) Study the following information and answer the questions given below.**A college consisting of 1560 students has boys and girls in the ratio of 7:5 respectively. All the students are enrolled for different Places via Ooty, Kodaikanal and Goa. One fifth of the boys are enrolled for only Kodaikanal tour. Twenty percent of the girls are enrolled for only Goa tour. Ten percent of the boys are enrolled for only Ooty tour. Twenty four percent of the girls are enrolled for both Ooty and Kodaikanal tour together. The number of girls enrolled for only Ooty tour is two hundred percent of the boys enrolled in the same. One–thirteenth of the boys are enrolled for all the three tours together. The respective ratio of boys enrolled for Kodaikanal and Goa tour together to the girls enrolled for the same is 2:1 respectively. Ten percent of the girls are enrolled for only Kodaikanal tour where as eight percent of the girls are enrolled for both Kodaikanal and Goa tour together. The remaining girls are enrolled for all the three tours together. The number of boys enrolled for Ooty and Kodaikanal tour together is fifty percent for the same. The remaining boys are enrolled for only Goa tour

**What is the total number of students enrolled for all the three tours and number of girls enrolled for Kodaikanal and Ooty tour together and number of boys enrolled for Kodaikanal and Goa tour together?**CorrectAnswer –

**1) 395**

Required number of students = (70+65)+156+104 = 395IncorrectAnswer –

**1) 395**

Required number of students = (70+65)+156+104 = 395 - Question 9 of 10
##### 9. Question

1 pointsCategory: Quantitative Aptitude**Directions.Q(6-10) Study the following information and answer the questions given below.****What is the sum of the total number of boys who enrolled for Kodaikanal and the total number of girls who enrolled for the same tour together?**CorrectAnswer –

**4) 772**

Explanation:

Total number of boys enrolled for Kodaikanal tour = 182+70+104+78 = 434

Number of girls = 65+156+52+65 = 338

Total = 434 + 338 = 772IncorrectAnswer –

**4) 772**

Explanation:

Total number of boys enrolled for Kodaikanal tour = 182+70+104+78 = 434

Number of girls = 65+156+52+65 = 338

Total = 434 + 338 = 772 - Question 10 of 10
##### 10. Question

1 pointsCategory: Quantitative Aptitude**Directions.Q(6-10) Study the following information and answer the questions given below.****Total number of girls enrolled for Ooty is approximately what percent of students for the college?**CorrectAnswer –

**5) 26%**

Explanation:

Number of girls enrolled for Ooty =156+182+65=403

Required per cent = (403*100)/1560= 26%IncorrectAnswer –

**5) 26%**

Explanation:

Number of girls enrolled for Ooty =156+182+65=403

Required per cent = (403*100)/1560= 26%

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