# SBI Clerk 2019 Prelims: Quant Test Day 8

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

1 pointsCategory: Quantitative Aptitude**6 years ago, the sum of ages of A and B was 64 years. The age of A after 8 years and age of B after 14 years will be the same. Then what is the age of A, 15 years from now?**Correct**Answer: 4) 56 years**

Explanation:

Given, the sum of age of A and B = 64 (6 years ago)

Sum of Present age of A and B is 64+2*6 = 76

Let the present age of A = x, Present age of B = 76-x

ATQ,

x+8 = 76-x+14

2x = 82

x =41

Present age of A = 41

Age of A 15 years from now = 41+15 = 56 yearsIncorrect**Answer: 4) 56 years**

Explanation:

Given, the sum of age of A and B = 64 (6 years ago)

Sum of Present age of A and B is 64+2*6 = 76

Let the present age of A = x, Present age of B = 76-x

ATQ,

x+8 = 76-x+14

2x = 82

x =41

Present age of A = 41

Age of A 15 years from now = 41+15 = 56 years - Question 2 of 10
##### 2. Question

1 pointsCategory: Quantitative Aptitude**The perimeter of rectangle A is 96cm, where the difference in length and breadth is 8cm. Area of rectangle B is 30% more than the area of rectangle A. Find the area of rectangle B.**Correct**Answer: 1) 728 sq cm**:

Explanation

Let the Breadth = x and length = x+8

Perimeter = 2*(x+x+8)

2*(x+x+8) = 96

2x+8 = 48

x =20

x+8 = 28

Area of rectangle A = 20*28

Area of rectangle B = 130% of 20*28 = (130/100)*20*28 = 728Incorrect**Answer: 1) 728 sq cm**:

Explanation

Let the Breadth = x and length = x+8

Perimeter = 2*(x+x+8)

2*(x+x+8) = 96

2x+8 = 48

x =20

x+8 = 28

Area of rectangle A = 20*28

Area of rectangle B = 130% of 20*28 = (130/100)*20*28 = 728 - Question 3 of 10
##### 3. Question

1 pointsCategory: Quantitative Aptitude**A sum of Rs. 1200 is lent at the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs. 400 more is lent but at the rate thrice the former. At the end of the year, Rs. 80 is earned as interest from both the loans. What was the original rate of interest?**Correct**Answer: 2) 5%**

Explanation:

SI = (P*R*T)/100

From the question it is clear that 1200 is lent for 12 months and 400 is lent for (12-8) = 4 months

Let the Rate of interest for 1200 is R, the rate of interest for 400 is 3R

ATQ,

(1200*R*1)/100 + (400*3R*4) /12*100 = 80

12R + 4R = 80

16R = 80

R = 5%Incorrect**Answer: 2) 5%**

Explanation:

SI = (P*R*T)/100

From the question it is clear that 1200 is lent for 12 months and 400 is lent for (12-8) = 4 months

Let the Rate of interest for 1200 is R, the rate of interest for 400 is 3R

ATQ,

(1200*R*1)/100 + (400*3R*4) /12*100 = 80

12R + 4R = 80

16R = 80

R = 5% - Question 4 of 10
##### 4. Question

1 pointsCategory: Quantitative Aptitude**The salaries of A, B, C are in the ratio 5: 4: 6. If the increments of 20%, 30%, and 25% are allowed respectively in their salaries, then what will be the new ratio of their salaries?**Correct**Answer: 4) 60:52:75**

Explanation:

New Ratio

5*120 : 4*130 : 6*125

5*24 : 4*26 :6*25

60:52:75Incorrect**Answer: 4) 60:52:75**

Explanation:

New Ratio

5*120 : 4*130 : 6*125

5*24 : 4*26 :6*25

60:52:75 - Question 5 of 10
##### 5. Question

1 pointsCategory: Quantitative Aptitude**Rajan spends 28% on food, 1/3rd, and 1/4th of the remaining on education and travel respectively. The difference in the amount spent on education and travel is Rs. 780. What is the total savings?**Correct**Answer: 1) Rs. 3900**

Explanation:

28% on food

Amount left = 100-28 = 72%

On education = 1/3 of 72 = 24%, on travel = 1/4 of 72 = 18%

ATQ,

24%-18% = 780

6% = 780

1% = 130

The sum 100% = 13000

Saving = 100-(28+24+18) =30% = 130*30 = 3900Incorrect**Answer: 1) Rs. 3900**

Explanation:

28% on food

Amount left = 100-28 = 72%

On education = 1/3 of 72 = 24%, on travel = 1/4 of 72 = 18%

ATQ,

24%-18% = 780

6% = 780

1% = 130

The sum 100% = 13000

Saving = 100-(28+24+18) =30% = 130*30 = 3900 - Question 6 of 10
##### 6. Question

1 pointsCategory: Quantitative Aptitude**Directions: (6-10)The total number of employees in company A is 600. The total number of employees in company B is 1100. Out of which 45% of employees of company A are Indian and 65% of employees of company B are Indian. The ratio of male to female employees of company A who are Indian is 7:3 and the ratio of male to female employees of company B who are Indian is 9:4. Per day salary of each India male employee is Rs. 3000 in both the companies and per day salary of each Indian female employee is Rs. 4000 in both the companies.****What is the ratio of Indian male employees in company A to Indian male employees in company B?**Correct**Answer: 5) 21/55**

Explanation for this question:

189/495 = 63/165 =21/55

**Complete Explanation:**

The total number of employees in company A is 600.

Indian employee in company A = 45% of 600 = 270

Indian employees in company A who are male = 270*7/10 = 189

Indian employees in company A who are female = 270-189 = 81

The total number of employees in company B is 1100.

Indian employees in company B = 65% of 1100 = 715

Indian employees in company B who are male = 715*9/13 = 495

Indian employees in company B who are female = 715-495 = 220Incorrect**Answer: 5) 21/55**

Explanation for this question:

189/495 = 63/165 =21/55

**Complete Explanation:**

The total number of employees in company A is 600.

Indian employee in company A = 45% of 600 = 270

Indian employees in company A who are male = 270*7/10 = 189

Indian employees in company A who are female = 270-189 = 81

The total number of employees in company B is 1100.

Indian employees in company B = 65% of 1100 = 715

Indian employees in company B who are male = 715*9/13 = 495

Indian employees in company B who are female = 715-495 = 220 - Question 7 of 10
##### 7. Question

1 pointsCategory: Quantitative Aptitude**Directions: (6-10)The total number of employees in company A is 600. The total number of employees in company B is 1100. Out of which 45% of employees of company A are Indian and 65% of employees of company B are Indian. The ratio of male to female employees of company A who are Indian is 7:3 and the ratio of male to female employees of company B who are Indian is 9:4. Per day salary of each India male employee is Rs. 3000 in both the companies and per day salary of each Indian female employee is Rs. 4000 in both the companies.****Find the total salary per day of all Indian female employees of company A and B.**Correct**Answer: 2) Rs.12.04lakh**

Explanation

(81+220)*4000 = 301*4000 = 1204000 = 12.04lakhIncorrect**Answer: 2) Rs.12.04lakh**

Explanation

(81+220)*4000 = 301*4000 = 1204000 = 12.04lakh - Question 8 of 10
##### 8. Question

1 pointsCategory: Quantitative Aptitude**Directions: (6-10)The total number of employees in company A is 600. The total number of employees in company B is 1100. Out of which 45% of employees of company A are Indian and 65% of employees of company B are Indian. The ratio of male to female employees of company A who are Indian is 7:3 and the ratio of male to female employees of company B who are Indian is 9:4. Per day salary of each India male employee is Rs. 3000 in both the companies and per day salary of each Indian female employee is Rs. 4000 in both the companies.****Find the approximate percentage of Indian female employee of company B to total Indian male employee of company A and B.**Correct**Answer: 2. 32%**

Explanation:

=220/ (189+495)

= (220/684)*100 = (54/171)*100 =(6/19)*100 = 31.6(approx)Incorrect**Answer: 2. 32%**

Explanation:

=220/ (189+495)

= (220/684)*100 = (54/171)*100 =(6/19)*100 = 31.6(approx) - Question 9 of 10
##### 9. Question

1 pointsCategory: Quantitative Aptitude**Find the ratio of number of employees of company A who are not Indian to the ratio of number of employees of company B who are Indian.**Correct**Answer: 4) 6/13**

Explanation

(55% of 600)/ (65% of 1100) = 6/13Incorrect**Answer: 4) 6/13**

Explanation

(55% of 600)/ (65% of 1100) = 6/13 - Question 10 of 10
##### 10. Question

1 pointsCategory: Quantitative Aptitude**Find the difference between the sum of Indian male employees in company A and B together to the sum of Indian female employees in company A and B together.**Correct**Answer: 3) 383**

Explanation:

The sum of Indian male employees in company A and B together = (189+495)

the sum of Indian female employees in company A and B together = (81+220)

Difference = (189+495) – (81+220) = 383Incorrect**Answer: 3) 383**

Explanation:

The sum of Indian male employees in company A and B together = (189+495)

the sum of Indian female employees in company A and B together = (81+220)

Difference = (189+495) – (81+220) = 383

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