Model Aptitude questions and answers for placement - Set 2

1)   8900 ÷ 6 ÷ 4 = ?

a. 349
b. 541.75
c. 224.37
d. 370.833
e. None of these
Answer  Explanation 

ANSWER: 370.833

Explanation:
Given Exp. 8900 * 1/6 * 1/4
= 370.833


2)   Find the least number which should be added to 2430 so that the sum is exactly divisible by 5, 4 and 2

a. 3
b. 10
c. 13
d. 33
Answer  Explanation 

ANSWER: 10

Explanation:
L.C.M of 5, 4, and 2 = 20. On dividing 2430 by 20, the remainder is 10.
Therefore, number to be added = (20 - 10) = 10


3)   When 0.535353 ... is converted into a fraction, the result is

a. 5/17
b. 20/9
c. 53/99
d. 53/100
Answer  Explanation 

ANSWER: 53/99

Explanation:
0.535353..... = 0.53
= 53/99


4)   On simplification, 3500 – (1000 ÷ 20.50) is equal to  :

a. 3451.21
b. 3029.00
c. 2993.03
d. 2984.36
Answer  Explanation 

ANSWER: 3451.21

Explanation:
Given exp. = 3500 - ((1000 ÷ 2050) * 100)
= 3451.21


5)   The cube root of .000343 is

a. 0.7
b. 0.07
c. 0.007
d. None of these
Answer  Explanation 

ANSWER: 0.07

Explanation:
(.000343)1/3
= (343/106)1/3
= (7*7*7/ 102*102*102)1/3
= 7/102
= 7/100 = 0.07


6)   Find the simple interest on Rs. 78000 at 15(2/5) % per annum for 9 months.

a. Rs. 7804
b. Rs. 8979
c. Rs. 8046
d. Rs. 9009
Answer  Explanation 

ANSWER: Rs. 9009

Explanation:
P = Rs. 78000, R = 77/5 % p.a and T = 9/12 years = ¾ years
Therefore,
S.I = (P*R*T)/100
= (78000* 77/5 * ¾ * 1/100)
= Rs. 9009


7)   Find the compound interest on Rs. 25000 in 2 years at 4% per annum. The interest being compounded half yearly.

a. Rs 3570.250
b. Rs 2896.598
c. Rs 2060.804
d. Rs 1050.200
Answer  Explanation 

ANSWER: Rs 2060.804

Explanation:
Given:
Principal = Rs. 25000, Rate = 4 % per half year, Time = 2 years = 4 half years
Therefore,
Amount = P( 1 + (R/2)/100)2n

Amount = Rs. [25000*(1+ 2/100)4] = Rs. (25000 * 51/50*51/50*51/50* 51/50)
= Rs. 27060.804
Therefore,
C.I. = Rs. ( 27060.804 – 25000)
= Rs 2060.804


8)   How many words can be formed  by using all letters of word ALIVE.

a. 86
b. 95
c. 105
d. 120
Answer  Explanation 

ANSWER: 120

Explanation:
The word ALIVE contains 5 different letters
Therefore,
Required number of words = 5p5 = 5!
= (5*4*3*2*1) = 120


9)   275, 132, 462, 396, 327, 891, 121

a. 327
b. 275
c. 121
d. 396
Answer  Explanation 

ANSWER: 327

Explanation:
In each number except 327, the middle digit is the sum of the other two.


10)   If 15 toys cost Rs. 545, what do 37 toys cost ?

a. Rs. 1344
b. Rs. 1200
c. Rs. 1668
d. Rs. 1542
Answer  Explanation 

ANSWER: Rs. 1344

Explanation:
Let the required cost be Rs. x.
More toys, More cost (Direct proportion)
Therefore 15 : 37 :: 545 : x
(15 * x) = (37 * 545)
x = (37*545)/15
= 1344.33
Hence, the cost of 37 toys is Rs. 1344.33