# IBPS Clerk 2018 Mains: Quants Test Day 14

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

1 pointsCategory: Quantitative Aptitude**Directions.Q(1-5): Study the information carefully to answer the following questions.**In an institute of 1200 students, the number of male students and the number of female students are in the ratio of 7:5. There are 3 courses namely viz, Bank, SSC and UPSC. Each students studies at least one of these courses. 10% of male students study Bank only. 20% study SSC only and 12% study UPSC only. 10% study only Bank and UPSC. 18% study only UPSC and SSC and 20% studies only Bank and SSC. The remaining male students study all the courses. 18% of female students study Bank only. 10% study SSC only and 12% study UPSC only. 20% study only Bank and UPSC. 12% study only UPSC and SSC and 8% study only Bank and SSC. The remaining female students study all the three courses.

**What is the ratio of the number of male students who study SSC to the number of female students who study Bank?**CorrectAnswer –

**1) 238 : 165**

Explanation:

Total number of students =1200

Male students =1200 * 7/12=700

Female students = 1200 * 5/12=500

**In Only Bank**, Male students = 700*10/100=70 , Female students = 500 *18/100=90

**In Only SSC**, Male students = 700*20/100=140, Female students = 500 * 10/100=50

**In Only UPSC**, Male students = 700*12/100=84 , Female students = 500 * 12/100=60

**In Bank & UPSC**, Male students = 700 * 10/100=70 , Female students = 500 * 20/100=100

**In UPSC & SSC,**Male students = 700 * 18/100=126 , Female students = 500 * 12/100=60

**In Bank and SSC,**Male students =700 * 20/100= 140, Female students = 500 * 8/100= 40

In All the courses,

Male students = 700-(70+140+84+126+70+140)=70

Female students = 500- (90+50+60+60+100+40)=100

The number of male students who study SSC =140+126+140+70=476

The number of female students who study Bank = 90+100+40+100= 330

Required ratio = 476/330= 238 : 165IncorrectAnswer –

**1) 238 : 165**

Explanation:

Total number of students =1200

Male students =1200 * 7/12=700

Female students = 1200 * 5/12=500

**In Only Bank**, Male students = 700*10/100=70 , Female students = 500 *18/100=90

**In Only SSC**, Male students = 700*20/100=140, Female students = 500 * 10/100=50

**In Only UPSC**, Male students = 700*12/100=84 , Female students = 500 * 12/100=60

**In Bank & UPSC**, Male students = 700 * 10/100=70 , Female students = 500 * 20/100=100

**In UPSC & SSC,**Male students = 700 * 18/100=126 , Female students = 500 * 12/100=60

**In Bank and SSC,**Male students =700 * 20/100= 140, Female students = 500 * 8/100= 40

In All the courses,

Male students = 700-(70+140+84+126+70+140)=70

Female students = 500- (90+50+60+60+100+40)=100

The number of male students who study SSC =140+126+140+70=476

The number of female students who study Bank = 90+100+40+100= 330

Required ratio = 476/330= 238 : 165 - Question 2 of 10
##### 2. Question

1 pointsCategory: Quantitative Aptitude**Directions.Q(1-5): Study the information carefully to answer the following questions.**In an institute of 1200 students, the number of male students and the number of female students are in the ratio of 7:5. There are 3 courses namely viz, Bank, SSC and UPSC. Each students studies at least one of these courses. 10% of male students study Bank only. 20% study SSC only and 12% study UPSC only. 10% study only Bank and UPSC. 18% study only UPSC and SSC and 20% studies only Bank and SSC. The remaining male students study all the courses. 18% of female students study Bank only. 10% study SSC only and 12% study UPSC only. 20% study only Bank and UPSC. 12% study only UPSC and SSC and 8% study only Bank and SSC. The remaining female students study all the three courses.

**The total number of male students studying less than two courses is what percent of the total number of female students studying more than one course?**CorrectAnswer –

**3) 98%**

Explanation:

Total number of male students who study less than two courses =70+140+84=294

Total number of female student who study more than one course = 60+100+40+100=300

Required % = (294*100)/300= 98%IncorrectAnswer –

**3) 98%**

Explanation:

Total number of male students who study less than two courses =70+140+84=294

Total number of female student who study more than one course = 60+100+40+100=300

Required % = (294*100)/300= 98% - Question 3 of 10
##### 3. Question

1 pointsCategory: Quantitative Aptitude**Directions.Q(1-5): Study the information carefully to answer the following questions.**In an institute of 1200 students, the number of male students and the number of female students are in the ratio of 7:5. There are 3 courses namely viz, Bank, SSC and UPSC. Each students studies at least one of these courses. 10% of male students study Bank only. 20% study SSC only and 12% study UPSC only. 10% study only Bank and UPSC. 18% study only UPSC and SSC and 20% studies only Bank and SSC. The remaining male students study all the courses. 18% of female students study Bank only. 10% study SSC only and 12% study UPSC only. 20% study only Bank and UPSC. 12% study only UPSC and SSC and 8% study only Bank and SSC. The remaining female students study all the three courses.

**What is the ratio of the total number of female students who study all the courses to the total number of male students who study all three courses?**CorrectAnswer –

**1) 10 : 7**

Explanation:

Required ratio = 100 : 70= 10 : 7IncorrectAnswer –

**1) 10 : 7**

Explanation:

Required ratio = 100 : 70= 10 : 7 - Question 4 of 10
##### 4. Question

1 pointsCategory: Quantitative Aptitude**Directions.Q(1-5): Study the information carefully to answer the following questions.****The number of female students studying UPSC only is approximately what percent less than the number of male students studying Bank only?**CorrectAnswer –

**2) 14%**

Explanation:

Required % = {(70-60)* 100}/70≈14%IncorrectAnswer –

**2) 14%**

Explanation:

Required % = {(70-60)* 100}/70≈14% - Question 5 of 10
##### 5. Question

1 pointsCategory: Quantitative Aptitude**Directions.Q(1-5): Study the information carefully to answer the following questions.****What is the difference between the number of male and that of female students studying Bank and UPSC only?**CorrectAnswer –

**1) 30**

Explanation:

100-70=30IncorrectAnswer –

**1) 30**

Explanation:

100-70=30 - Question 6 of 10
##### 6. Question

1 pointsCategory: Quantitative Aptitude**10 6 14 55 284 ?**CorrectAnswer –

**3) 2397**

Explanation :

10 * 0.5 + 1³= 6

6 * 1 + 2³ = 14

14 * 2 + 3³ = 55

55 * 4 + 4³ = 284

284 * 8 + 5³= 2397IncorrectAnswer –

**3) 2397**

Explanation :

10 * 0.5 + 1³= 6

6 * 1 + 2³ = 14

14 * 2 + 3³ = 55

55 * 4 + 4³ = 284

284 * 8 + 5³= 2397 - Question 7 of 10
##### 7. Question

1 pointsCategory: Quantitative Aptitude**Time taken by Arul alone to finish a piece of work is 60% more than that taken by Arul and Baskar together to finish the same piece of work. Chand is twice as efficient as Baskar. If Baskar and Chand together can complete the same piece of work in 40/3 days, in how many days can Arul alone finish the same work?**CorrectAnswer –

**2) 24**

Time taken by Chand = X days

Time taken by Baskar = 2X days

(2X.X)/(X+2X)=40/3

X=20

Chand = 20 days

Baskar= 40 days

Let Arul alone can finish the work in Y days

Y= {(40*Y)/(40+Y) } * 160/100

Y=24 daysIncorrectAnswer –

**2) 24**

Time taken by Chand = X days

Time taken by Baskar = 2X days

(2X.X)/(X+2X)=40/3

X=20

Chand = 20 days

Baskar= 40 days

Let Arul alone can finish the work in Y days

Y= {(40*Y)/(40+Y) } * 160/100

Y=24 days - Question 8 of 10
##### 8. Question

1 pointsCategory: Quantitative Aptitude**Ajay started a company and Bala & Chetan joined him later during first year. The respective ratio of their investments was 4:2:3 and the period for which they invested was in the ratio 2:3:1. At the start of the second year Ajay increased his investment by 50% while Bala and Chetan retained the same and also for the same number of months as in the first year. If the total profit at the end of 2 years was Rs 47500 what was Chetan’s share in the total profit?**CorrectAnswer –

**3) 7500**

Explanation :

Ratio of their investment for 2 years

Ajay:Bala:Chetan= (4*2+6*2) : (2*3+2*3): (3*1+3*1) = 10:6:3

Chetan’s share in the total profit = (47500 * 3)/(10+6+3) = 7500IncorrectAnswer –

**3) 7500**

Explanation :

Ratio of their investment for 2 years

Ajay:Bala:Chetan= (4*2+6*2) : (2*3+2*3): (3*1+3*1) = 10:6:3

Chetan’s share in the total profit = (47500 * 3)/(10+6+3) = 7500 - Question 9 of 10
##### 9. Question

1 pointsCategory: Quantitative Aptitude**The average income of male workers in a startup was Rs 6200 and that of female was Rs 5200. The average income of all the workers was Rs 6000. What is the percentage of male workers in that startup?**CorrectAnswer –

**1) 80%**

Explanation :

Total number of male workers be x

Total number of female workers be y

Total income of all male workers = 6200*x

Total income of all female workers =5200*y

Total income of all workers = 6000(x+y)

6200*x+5200*y=6000(x+y)

x/y= 4/1

Percentage of male workers = 4/5 *100 = 80%IncorrectAnswer –

**1) 80%**

Explanation :

Total number of male workers be x

Total number of female workers be y

Total income of all male workers = 6200*x

Total income of all female workers =5200*y

Total income of all workers = 6000(x+y)

6200*x+5200*y=6000(x+y)

x/y= 4/1

Percentage of male workers = 4/5 *100 = 80% - Question 10 of 10
##### 10. Question

1 pointsCategory: Quantitative Aptitude**1, 3, 10, 31, ?, 367**CorrectAnswer –

**2) 102**

Explanation :

1 + 1² + 1 = 3

3 + 2² + 3 = 10

10 + 4² + 5 = 31

31 + 8² + 7 = 102

102 + 16² + 9 = 367IncorrectAnswer –

**2) 102**

Explanation :

1 + 1² + 1 = 3

3 + 2² + 3 = 10

10 + 4² + 5 = 31

31 + 8² + 7 = 102

102 + 16² + 9 = 367

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