Quantitative Aptitude Quiz - 62 | SBI | IBPS

1. The ratio of the present ages of Anubha and her mother is 1 : 2. The ratio of their ages 6 years hence would be 11 : 20. What was the ratio of their ages 9 years ago?

a)3 : 5

b)2 : 7

c)1 : 4

d)2 : 5

e)None

2.Rohit invested  a certain amount at the rate of 6% per annum and obtained a simple interest of Rs 8730/- at the end of 3 years. What would be the amount of compound interest that can be obtained on the same sum at the same rate of interest, at the end of 2 years?

a)Rs 5820

b)Rs 5949.60

c)Rs 5900

d)Rs 5994.6

e)None

3.Car A travels at the speed of 65 Km/hr and reaches its destination in 8 hours. Car B travels at the speed of 70 Km/hr and reaches its destination in 4 hours. What is the ratio of the distance covered by Car A and Car B?

a)11 : 7

b)7 : 13

c)13 : 7

d)7 : 11

e)None

4.The ratio of students in schools A, B and C is 5 : 4 : 7. If the number of students in the school are increased by 20% , 25% and 20% respectively, what would be the new ratio of students?

a)5 : 5 : 7

b)30 : 25 : 42

c)30 : 20 : 49

d)cannot be determined

e)None

5.The average height of 35 girls in a class was calculated as 160 cm. It was later found that the height of one of the girls in the  class was wrongly written as 144cm, whereas her actual height was 104cm. What is the actual average height of the girls in the class?

a)159.86cm

b)158.54cm

c)159.56cm

d)158.74cm

e)None

Directions(6 -10): Study the following information carefully and answer the questions that follow.

There are 2500 residents in a n village. 1375 residents from this village speak only their local language. 200 residents speak local language as well as English. The number of residents in the village who speak local language as well as hindi is 625. 300 people speak all the three languages.

6.The number pf residents who speak English as one of the language form what % of the total residents in the village?

a)12

b)8

c)20

d)18

e)None

7.The number of residents who speak only the local language form what % of the total number of residents in the village?

a)45

b)55

c)58

d)40

e)None

8.The number of residents who speak Hindi as one of the languages is approximately what % of the number of residents who speak only the local language?

a)67

b)70

c)61

d)59

e)63

9.What is the respective ratio of the number of residents who speak all the languages to the number of residents who speak the local language as well as Hindi?

a)12 : 55

b)2 : 5

c)14 : 55

d)12 : 25

e)None

10.If 25 more people who can speak all the three languages come to reside in the village and 45 more people who can speak the local language and Hindi come to reside in the village, what would be the difference between the number of residents who can speak all the three languages and the number of residents who can speak the local language and Hindi.

a)325

b)330

c)340

d)355

e)None

Answers

1.d
Let their present ages be x and 2x
(x + 6)/(2x + 6) = 11/20
x =27
Their ages are 27 and 54
9 years ago, the ratio of their ages = 18 : 45 = 2 : 5

2.d
Let the sum be P
8730 = (P X 6 X 3)/100
P = 48500
48500( 1 + 6/100)^ 2 = amount in CI after 2 years = 54494.60
CI = 54494.60 - 48500 = 5994.60

3.c
The required ratio = (65 x 8)/(70 x 4) = 13 : 7

4.b
Let the number of students be 5x, 4x and 7x respectively
Required ratio = (5x  x 120/100) : (4x x 125/100) : (7x x 120/100) = 30 : 25 : 42

5.e
Correct sum of heights = (160 x 35) - 144 + 104 = 5560
Correct average = 5560/35 = 158.85 cm

6. c
Required % = 500/2500 x 100 = 20% 

7.b
Required % =1375/2500 x 100 = 55%

8.a
Required % =925/1375 x 100 = 67%

9.`d
Required ratio = 300 : 625 = 12 : 25

10.e
Required difference = (625 + 45) - (300 + 25) = 345