__Quantitative Aptitude Problems for IBPS Clerk (Set – 7)__**1.**

**Rita invested 25% more than Sunil. Sunil invested 30% less than Abhinav who invested Rs. 6,000. What is the respective ratio between the amount that Rita invested and the total amount invested by all of them together?**

a)
35 : 104

b)
13 : 29

c)
101 : 36

d)
35 : 103

**2.**

**A man gets a simple interest of Rs. 1,000 on a certain principal at the rate of 5 p.c.p.a. in 4 years. What compound interest will the man get on twice the principal in two years at the same rate?**

a)
Rs.1050

b) Rs.1005

c) Rs.11025

d) Rs.11050

e) None of these

**3.**

**The perimeter of a square is equal to twice the perimeter of a rectangle of length 8 cms. and breadth 7 cms. What is the circumference of a semicircle whose diameter is equal to the side of the square?**

a) 38.57cms

b) 23.57cms

c) 42.46cms

d) 47.47cms

e) 51.51cms

**4.**

**Radha's present age is three years less than twice her age 12 years ago. Also the respective ratio between Raj's present age and Radha's present age is 4 : 9. What will be Raj's age after 5 years?**

a)
12 years

b)
7 years

c)
21 years

d)
9 years

e)
None of these

**5.**

**The respective ratio between the speeds of a car, a train and a bus is 5 : 9 : 4. The average speed of the car, the bus and the train is 72 kmph together. What is the average speed of the car and the train together?**

a)
82kmph

b)
78kmph

c)
84kmph

d)
can’t be determined

e)
none of these

**Direction (6 – 10) : In an examination total students passed from five different cities A, B, C, D and E is 6000.**

**The given pie-chart shows the percentage distribution of these passed students among these five cities.**

**Line graph shows the percentage of girls passed from each cities. Answer the following question based on these graphs.**

**6.**

**What is the number of students passed from City A, B and C together?**

a)
3600

b)
3700

c)
3800

d)
3900

e)
4000

**7.**

**What is the total number of female students passed from these five cities together**

a)
2816

b)
2919

c)
3140

d)
3210

e)
3460

**8.**

**What is the ratio of the total number of boys passed from city 'E' to the total number of girls passed from city 'B'?**

a)
1 : 2

b)
2 : 3

c)
2 : 1

d)
3 : 2

e)
2 : 5

**9.**

**The number of girls passed from city 'E' is what percentage of the total number of students passed from city 'B'?**

a)
24%

b)
30%

c)
36%

d)
40%

e)
42%

**10.**

**The number of students passed from city 'D' is what percentage more the number of boys passed from City 'A'**

a)
24%

b)
30%

c)
30.5%

d)
42%

e)
42.5%

**Solutions:**

**1. D)**Abhinav's investment = Rs. 6000

Sunil's Investment = 70 x 6000/100

= Rs. 4200

Rita's Investment = 4200 x 125/100

= Rs. 5250

Therefore Required ratio

= 5250 : (6000 + 4200 + 5250)

= 5250 : 15450 = 35 : 103

**2. D)**Principal = SI x 100/Time x Rate

= 1000 x 100/4 x 5 = Rs. 5000

Case II

Principal = Rs. 10000

Therefore CI = P [(1 + Rate/100)

^{Time}-1]
= 10000 [(1 + 5/100)

^{2}-1]
= 10000 x [(21/20)

^{2}-1]
= 10000 x 41/400 = Rs. 1025

**3. A)**Perimeter of square

= 2 x Perimeter of rectangle

= 2 x 2 (8+7) = 60 cm.

Therefore, Side of square = 60/4 = 15 cm.

Therefore , Diameter of semi-circle = 15 cm

Therefore, Cicumference of semi-cricle

= πd/2 + d

= 22/7x2 x 15 + 15 = 38.57 cm

**4. D)**Let Radha's present age = x years.

∴ x = 2 (x = 12) - 3

= x = 2x - 24 - 3 = x = 27

∴ Raja's present age = 4/9 x 27

= 12 years

∴ Raja's age after 5 years = 12 + 5 = 17 years

**5. C)**5x + 9x + 4x = 72 x 3

= 18x = 72 x 3

∴ x = 72 x 3/18 = 12 kmph

∴ Average speed of car and train

= 5x + 9x/2 = 7x

= 7 x 12 = 84 kmph

**6. D)**Number of students passed from A, B and C is (25 + 30 + 10)% of 6000 = 3900

**7. B)**Required total = 45% of (25% of 6000) + 40% of (30% of 6000) + 36% of (10% of 6000) + 64% of (20% of 6000) + 60% of (15% of 6000)

= 675 + 720 + 216 + 768 + 540 = 2919

**8. A)**E

_{Boys}= 40% of (15% of 6000) = 360

B

_{girls}= 30% of (40% of 6000) = 720**9. B)**(E)

_{Girls}= 60/100 x 15/100 x 6000 = 540

(B)

_{Total}= 30/100 x 6000 = 1800
∴ % = 540/1800 x 100 = 30%

**10. D)**(D)

_{total}= 20/100 x 6000 = 1200

(A)

_{Boys}= 55% of (25% of 6000) = 825
∴ Reqd % = 1200 - 825/825 x 100 = 37500/825

= 1500/33 = 45 15/33%