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**Mentor for Bank Exams**. Here I am sharing the**Quantitative Aptitude**questions with detailed explanation. These questions can be helpful for the upcoming bank exams, insurance exams and other competitive exams. Kindly make use of these!!!**1. A basket contains 6 red, 5 green and 8 blue balls are picked at random, what is the probability that all four of them are either red or any two out of the four are green?**

a) 5/1292

b) 925/3876

c) 359/1938

d) 11/3875

e) None of these

**2. Satish invests Rs35,500 in a scheme which earns him simple interest @ 15 pcpa for two years he reinvests the principal amount plus interest earned another scheme which earns him compound interest @20 pcpa. What will be the total interest earned by Satish over the principal amount at the end of 5 years?**

a) Rs.30956.80

b) Rs.35017.20

c) Rs.43597.80

d) Rs.44247.20

e) None of these

**3. 12 men can complete a piece of work in 36 days. 18 women can complete the same piece of work in 60 days. 8 men and 20 women work together for 20 days. If only women were to complete the remaining piece of work in 4 days, how many women would be required?**

a) 70

b) 28

c) 66

d) 40

e) None of these

**4. The number obtained by interchanging the two digits of a two-digit number is less than the original number by 27. If the difference between the two digits of the number is 3, what is the original number?**

a) 74

b) 63

c) 85

d) Can’t be determined

e) None of these

**5. A train running at the speed of 20 mps crossed a pole in 24 seconds less than the time it requires to cross platform thrice its length at the same speed. What is the length of the train?**

a) 270 meters

b) 340 meters

c) 180 meters

d) Cant be determined

e) None of these

**Directions (6 – 9): In each of the following questions two equations I and II are given. You have to solve both the equations and give answer if**

**a) x ≥ y**

**b) x ≤ y**

**c) x < y**

**d) x > y**

**e) x = y or relationship between x and y cannot be established**

**6. I. 6x**

^{2}+ 13x + 5 = 0 II. 9y^{2}+ 22y + 8 = 0**7. I. 4x + 2y = 51 II. 15y + 13x = 221**

**8. I. (x + y)**

^{2}= 784 II. 92551 = 92567 – y**9. I. x**

^{2}+ 91 = 20x II. 10y^{2}– 29y + 21 = 0**Directions (10 – 14): Study the following pie-chart carefully and answer the questions that follow taking the data of company XYZ:**

**The pie-chart shows the percentage of number of employees of company XYZ in 5 different cities with a total of 5600 employees.**

**10. What is the difference in the number of employees in cities B and D?**

a) 437

b) 347

c) 448

d) 365

e) 396

**11. What is the ratio of the number of employees in cities A and B together to the number of employees in cities C and D together?**

a) 7 : 10

b) 2 : 5

c) 7 : 13

d) 4 : 11

e) 5 : 12

**12. Number of employees in city E forms what approximate percent of the number of employees in cities B and C together?**

a) 33%

b) 25%

c) 23%

d) 22%

e) 26%

**13. Number of employees in city A is approximately what percent less than the number of employees in city C?**

a) 63%

b) 74%

c) 70%

d) 68%

e) 65%

**14. If 5% of the number of employees from city A gets shifted to city D, then what is the number of employees in city D?**

a) 837

b) 947

c) 980

d) 1016

e) 956

**Answers:**

**1)b 2)d 3)a 4)d 5)e 6)e 7)d 8)c 9)d 10)c 11)a 12)e 13)c 14)c 15)c**

**Solutions:**

1. B) 6R, 5G,
8B

Non green Balls
= 6 + 8 = 14

Therefore
required probability = 6C4/19C4 + [5C2 × 14C2]/19C4 = 925/3876

2. D) SI =
35500 x 15/100 x 2 = Rs.10650

A = 35500 +
10650 = Rs.46150

CI for 3 years
= 46150[(1 + 20/100)

^{3}– 1] = Rs.33597.20
Therefore total
interest = 10650 + 33597.20 = Rs.44247.20

3. A) 12 x 36
men can do a work in one day = 18 x 60 women can do a work in one day

=> 12 x 36 M
= 18 x 60 W => 2M = 5W => 8M = 20W

4. D)

5. E) Let the
length of train = x

=> x/20 = (x
+ 3x)/20 – 24 => x = 160m

6. E) On
solving the given equations we get x = -1/2, -5/3 and y = -2 or -4/9

Therefore
relationship cannot be established

7. D) on
solving the given equations x = 9.5 and y = 6.5 => x > y

8. C) From
equation (II) y = 16

From equation
(I) x + y = ±28 from this x = 12 or x = -44

x < y

9. D) On
solving the equations we get x = 7, 13 and y = 3/2, 7/5

x > y

10. C) Required difference = (25-17)/100
* 5600 = 448

11. A) Required ratio = A+B : C+D =
(10+25)/100 *5600 : (33+17)/100 *5600 = 7 : 10

12. E) Required percentage = 15/(25+33)
* 100 = 26%

13. C) Required percentage = (33-10)/33
* 100 = 70%

14. C) Number of employees in city
D = (5/100)*(10/100)*5600 = 28

So (17/100)*5600 + 28 = 980