QUANTITATIVE APTITUDE

1). Population of a city is 1.2 lakh. If the population of male increases by 5% and the female by 10%, the population will be 1.2835 lakh. What is the number of female in the city ?

a)    42000

b)    45000

c)    47000

d)    51000

e)    55000

2).  A shopkeeper marks his goods 20% above the cost price but give 11% discount on it. If he sells the article for Rs.1575.30 then what is the cost price ?

a)    Rs. 1575

b)    Rs. 1525

c)    Rs. 1500

d)    Rs. 1475

e)    Rs. 1450

3). If Rs. 6200 amounts to Rs. 8804 in 3 years 6 months, what will Rs. 7800 amount to in 4 years 6 months at the same rate percent per annum ?

a)    Rs. 11924

b)    Rs. 12012

c)    Rs. 12428

d)    Rs.12896

e)    None of these

4). The compound interest on a certain sum of money for two years at 8% p.a. is Rs. 499.20. What will be the simple interest at the same rate and for the same time period ?

a)    Rs. 456

b)    Rs. 472

c)    Rs. 480

d)    Rs. 484

e)    Rs. 496

5). Certain number of persons can do a work in 50 days. If there were 7 persons more the work could be finished in 14 days less. How many persons were there initially ?

a)    18

b)    24

c)    28

d)    35

e)    None of these

6).  A train travels for 7 hours at the speed of 27 km/hr. and for 9 hours at the speed of 38 km/hr. At the end of it driver finds he has covered 3/7th of total distance. At what speed the train should travel to cover the remaining distance in 24 hours?

a)    26.5 km/hr.

b)    27.5 km/hr.

c)    28.5 km/hr.

d)    29.5 km/hr.

e)    32 km/hr.

7). How many different words can be formed with the letters of the word "TRANSFER" so that the words begin with 'T'?

a)    40320

b)    20160

c)    5040

d)    2520

e)    None of these

8).  A bag contains 5 black and 3 white balls. A second bag contains 4 black and 2 white balls. One bag is selected at random. From the selected bag one ball is drawn. What is the probability that the drawn ball is black ?

a)    5/12

b)    31/48

c)    7/12

d)    17/48

e)    None of these

9). Two pipes 'A' and 'B' would fill a tank in 36 hours and 45 hours respectively. If both pipes are opened together, find when the first pipe must be closed so that the tank may be just filled in 30 hours ?

a)    6 hours

b)    9 hours

c)    12 hours

d)    15 hours

e)    18 hours

10).  A shopkeeper buys 5 tables and 8 chairs for Rs.5000. He sells the tables at a profit of 12% and chairs at a loss of 8%. If his total gain is Rs.80 then what price does he pay for a table and a chair ?

a)    Rs.480, Rs.325

b)    Rs.450, Rs.320

c)    Rs.400, Rs.325

d)    Rs.425, Rs. 375

e)    None of these

SOLUTION

Solution:

1). C)  Let the population of female is ‘x’.

Population of male = 1.2 - x

=  (110x/100) + [(105/100) (1.2 - x)] = 1.2835

110 x + 126 - 105x = 128.35

5x = 128.35 - 126 = 2.35

x = (2.35/5) = 0.47lakh = 47000

2) . D)  Let the cost price is ‘x’

 x ×(120/ 100) × (89/100) = 1575.3

x = (157530 × 100) / (120×89) = 1475

3). B)  S.I. = 8804 - 6200 = 2604

r = (2604 × 100) / (6200 × 3.5) = 12% p.a

Now for Rs. 7800, S.I. = (7800 × 4.5 × 12)/100 = 4212

Req. amount = 7800 + 4212 = 12012

4). C)  P[1 +( 8/100)]² – P =  499.20

P (27/25)² – P = 499.20

P (729-625) / 625 = 499.20

P = (499.20 × 625) / 104 = 3000

S.I = (3000 × 8 × 2) / 100 = 480

5). A)  Let the original number of men ‘x’

7 person (50 - 14 = 36) days work = x persons 14 days work

x = (7 × 36)/14 = 18

6). D)  Let the total distance is ‘x’

= 3x/7 = (7×27) + (9×38)= 531

x = (531 × 7)/3 = 1239 km.

Remaining distance = 1239 - 531 = 708 km.

Speed = (708/24) = 29.5 km/hr

7). D)  First letter ‘T’ is fixed, so remaining ‘7’ letters can be

filled in 7!/2  ways as the letter ‘R’ comes twice.

Total arrangements = 7!/2 = 2520

8). B)  Probability of selecting first bag = 1/2 and probability

of drawn ball is black is 5c₁ / 8c₁ = 5/8

P (E₁) = (1/2) ×(5/8),  similarly P (E₂) = (1/2) ×(4/6)

P (E) = (5/16) + (1/3) = (15+16)/48 = 31/48

9). C)  Let the first pipe is closed after ‘t’ hours.

(t/36) + (30/45) = 1, (t/36) = 1- (2/3) = 1/3

t=36× (1/3) = 12 hours.

10). A)  Let the price of a table is ‘x’ and chair is ‘y’

5x + 8y = 5000 _______ (I)

12% of 5x = 5x × (12/100) = 3x/5

and 8% of 8y = (16y/25)

= (3x/5) – (16y/25) = 80

15x – 16y = 2000 ______(II)

= Solving equn (I) and (II) x = 480 and y = 325