Aptitude Test for Computer and IT Engineers - Set 4

1)   Guddi was standing on a road near a mall. She was 1000m away from the mall and able to see the top of the mall from the road in such a way that top of the tree, which is in between her and the mall, was exactly in line of sight with the top of the mall. The tree height is 10m and it is 20m away from Guddi. How tall is the mall?

a. 423.5 m
b. 450 m
c. 470 m
d. 495 m
Answer  Explanation 

ANSWER: 470 m

Explanation:
height and distance


2)   Pipe R can empty a full tank in 30 hours. But two pipes P and Q can fill a tank in 15 hours and 10 hours respectively. Ram unknowingly opened all three taps. After 2 hours Shyam realized it and closed Pipe R. Due to this mistake how much time more would it take to fill the tank?

a. 18 minutes
b. 24 minutes
c. 1 hour 20 minutes
d. 2 hours 15 minutes
Answer  Explanation 

ANSWER: 24 minutes

Explanation:
pipes and cisterns


3)   Suresh for 2 years invested Rs. 500 in SBI. He also invested Rs. 300 in ICICI for 4 years. At the end he received Rs. 220 from both banks as simple interest. What must have been rate of interest?

a. 10%
b. 12%
c. 11%
d. 5.5%
Answer  Explanation 

ANSWER: 10%

Explanation:
simple interest


4)   Sarang invested some money in HDFC at 3% rate of interest. What would be the corresponding simple interest if after 2 years, Sarang got Rs. 101.50 as compound interest?

a. Rs. 1015
b. Rs. 125
c. Rs. 100
d. Rs. 150
Answer  Explanation 

ANSWER: Rs. 100

Explanation:
compound interest


5)   LCM of two numbers is 138. But their GCD is 23. The numbers are in a ratio 1:6. Which is the largest number amongst the two?

a. 46
b. 138
c. 69
d. 23
Answer  Explanation 

ANSWER: 138

Explanation:
hcf lcm


6)   A steel vessel has a base of length 60 cm and breadth 30 cm. Water is poured in the vessel. A cubical steel box having edge of 30 cm is immersed completely in the vessel. How much will the water rise?

a. 7.5 cm rise
b. 10 cm rise
c. 15 cm rise
d. 30 cm rise
Answer  Explanation 

ANSWER: 15 cm rise

Explanation:
volume and surface area


7)   fraction

a. 14(1/10)
b. 13(1/5)
c. 13/30
d. 14(1/30)
Answer  Explanation 

ANSWER: 14(1/30)

Explanation:
fraction


8)   Ramesh has a rectangular wooden block. P, Q and R are the areas of the three adjacent and contiguous faces of the block. If we denote its volume by S, then which of the following is true for sure?

a. S = 2(P+Q+R)
b. S = P+Q+R
c. S2 = PQR
d. S2 = (PQR)/2
Answer  Explanation 

ANSWER: S2 = PQR

Explanation:
volume and surface area


9)   Raju has a cone, a hemisphere and a cylinder. They have the same height. Raju immerses them completely in a bucket full of water. What will be ratio of volume of cylinder to cone to hemisphere, if they also have same bases?

a. 1:2:3
b. 3:1:2
c. 2:1:3
d. 1:1:1
Answer  Explanation 

ANSWER: 3:1:2

Explanation:
volume and surface area


10)   Sam has a solid metal ball with diameter 6cm. He melts it and uses the material for making a solid cylinder. If the diameter of the cylinder is same as the ball, what would its height be?

a. 4 cm
b. 4.5 cm
c. 6 cm
d. 8 cm
Answer  Explanation 

ANSWER: 4 cm

Explanation:
volume and surface area


11)   A small library is started by Prakash and John. Prakash invests Rs. 2000 and John Rs. 5000 for 9 and 7 months respectively. In what ratio will John and Prakash share the profit of Rs. 1100?

a. 2:3
b. 21:27
c. 35:18
d. 45:56
Answer  Explanation 

ANSWER: 35:18

Explanation:
partnership


12)   George gets a discount of 30% and then 20% on his food bill of Rs. 1250. What is the total discount he got?

a. 44%
b. 55%
c. 52%
d. 25%
Answer  Explanation 

ANSWER: 44%

Explanation:
discount


13)   Shamik had invested same amount of sums at simple as well as compound interest. The time period of both the sums was 2 years and rate of interest too was same 4% per annum. At the end, he found a difference of Rs. 50 in both the interests received. What were the sums invested?

a. Rs. 32550
b. Rs. 35750
c. Rs. 30000
d. Rs. 31250
Answer  Explanation 

ANSWER: Rs. 31250

Explanation:
compound interest


14)   Simran gets a discount of 25% on Rs. 3600 oven. Since she pays cash, she gets additional 2% discount too. How much does she pay?

a. Rs. 2864
b. Rs. 2468
c. Rs. 2548
d. Rs. 2646
Answer  Explanation 

ANSWER: Rs. 2646

Explanation:
discount


15)   Michel can swim in still water at the rate of 6km per hour. After swimming in a stream, she realized that she takes twice the time to go upstream as she takes to go downstream. What is speed of the current?

a. 2.25 km/hr
b. 2 km/hr
c. 4 km/hr
d. 1.5 km/hr
Answer  Explanation 

ANSWER: 2 km/hr

Explanation:
boats and streams


16)   Greatest Common Divisor of two numbers is 8 while their Least Common Multiple is 144. Find the other number if one number is 16.

a. 108
b. 96
c. 72
d. 36
Answer  Explanation 

ANSWER: 72

Explanation:
hcf lcm


17)   What will be the value of  1 x 0.3 x 0.01 x 0.003?

a. 0.000009
b. 0.000027
c. 0.00009
d. 0.00003
Answer  Explanation 

ANSWER: 0.000009

Explanation:
decimals


18)   What will be the value of
(.654 x .654) - (.596 x .596)
.654 -.596


a. 1.15
b. 1.25
c. 0.058
d. 0.389784
Answer  Explanation 

ANSWER: 1.25

Explanation:
decimals


19)   What is value of (36)?

a. 2
b. 36
c. 1
d. 36
Answer  Explanation 

ANSWER: 36

Explanation:
indices and surds


20)   How many zeroes are there in 200010?

a. 10
b. 30
c. 20
d. 15
Answer  Explanation 

ANSWER: 30

Explanation:
indices and surds