Aptitude test for Teachers - Set 2

1)   Three solid metallic balls of diameter 3cm, 4cm and 5m are melted into a solid sphere. The radius of new sphere is

a. 6 cm
b. 4 cm
c. 3 cm
d. 5 cm
Answer  Explanation 

ANSWER: 3 cm

Explanation:
volume and surface area


2)   A boy was asked to multiply a number by 12. But he multiplied by 21 and got his answer 63 more than the correct answer. The number to be multiplied was

a. 7
b. 9
c. 8
d. 12
Answer  Explanation 

ANSWER: 7

Explanation:
problem on numbers


3)   A number is multiplied by its one-third to get 192. Find the number.

a. 16
b. 20
c. 24
d. 28
Answer  Explanation 

ANSWER: 24

Explanation:
problem on numbers


4)   What is smallest number with which 5400 may be multiplied so that the product is perfect cube?

a. 5
b. 3
c. 4
d. 6
Answer  Explanation 

ANSWER: 5

Explanation:
square root and cube root


5)   280 oranges are divided among some boys and girls whose total number is 50 so that each boy gets 5 oranges and each girl get 7 oranges. The number of girls is

a. 30
b. 35
c. 15
d. 20
Answer  Explanation 

ANSWER: 15

Explanation:
problem on numbers


6)   The sum of four consecutive integers is 1290. The greatest of them is?

a. 321
b. 322
c. 323
d. 324
Answer  Explanation 

ANSWER: 324

Explanation:
problem on numbers


7)   ¾ part of tank is full of water. When 30 litres of water is taken out it becomes empty. The capacity of the tank is?

a. 36 litres
b. 42 litres
c. 40 litres
d. 38 litres
Answer  Explanation 

ANSWER: 40 litres

Explanation:
problem on numbers


8)   Two numbers are in ratio 2:3. If 2 be subtracted from the first and 2 be added to the second, the ratio becomes 1:2. Find the sum of the numbers.

a. 30
b. 28
c. 24
d. 10
Answer  Explanation 

ANSWER: 30

Explanation:
ratio and proportion


9)   The greatest length of the scale that can measure exactly 30 cm, 90 cm, 1 m 20 cm and 1 m 35 cm lengths is

a. 5 cm
b. 10 cm
c. 15cm
d. 30 cm
Answer  Explanation 

ANSWER: 15cm

Explanation:
hcf lcm


10)   The value of 30.000027 x 0.008 is

a. 0.0006
b. 0.06
c. 0.006
d. 0.6
Answer  Explanation 

ANSWER: 0.006

Explanation:
square root and cube root


11)   What is value of
0.125 + 0.027
0.5 x 0.5 + 0.09 - 0.15


a. 1
b. 0.2
c. 0.08
d. 0.8
Answer  Explanation 

ANSWER: 0.8

Explanation:
simplification


12)   simplification

a. 1
b. 10
c. 100
d. 1000
Answer  Explanation 

ANSWER: 100

Explanation:
simplification


13)   Express 2/3 of 1/4 of Rs.25.20 as a fraction of 1 1/2 of Rs. 36

a. 7/90
b. 11/90
c. 5/8
d. 5/42
Answer  Explanation 

ANSWER: 7/90

Explanation:
fractions


14)   fractions

a. 2
b. 4
c. 8
d. 6
Answer  Explanation 

ANSWER: 4

Explanation:
fractions


15)   Which is largest amongst 5/8, 2/3, 7/9, 3/5?

a. 5/8
b. 2/3
c. 7/9
d. 3/5
Answer  Explanation 

ANSWER: 7/9

Explanation:
fractions


16)   On simplification of the following, the result will be
(1 - 1/2)(1 - 1/3)(1 - 1/4)……..(1 - 1/100)


a. 0.01
b. 0.001
c. 1
d. 0.1
Answer  Explanation 

ANSWER: 0.01

Explanation:
simplification


17)   fractions

a. 5/46
b. 68/157
c. 157/68
d. 21/110
Answer  Explanation 

ANSWER: 68/157

Explanation:
fractions


18)   simplification

a. 2
b. 1
c. -3
d. 5
Answer  Explanation 

ANSWER: -3

Explanation:
simplification


19)   A shopkeeper earns a profit of 15% after selling a book at 20% discount on the printed price. The ratio of the cost price and printed price of the book is?

a. 20:23
b. 23:20
c. 16:23
d. 23:16
Answer  Explanation 

ANSWER: 16:23

Explanation:
profit loss
profit loss


20)   Successive discounts of 20% and 15% are equivalent to a single discount of

a. 68%
b. 65%
c. 35%
d. 32%
Answer  Explanation 

ANSWER: 32%

Explanation:
discount