Aptitude test for MCA interview - Set 4

1)   Find the ratio of swimming speed of Raj in still water to speed of river, if ratio of time taken to go 10km upstream to time taken to go 10km downstream is 11:5?

a. 11:5
b. 4:2
c. 8:3
d. 6:5
Answer  Explanation 

ANSWER: 8:3

Explanation:
boats and streams


2)   A has two grandsons P and Q. 13 year old P gets some money from A’s wealth and 14 year old Q gets rest of the money. But P and Q will get money only when they turn 25 years old. Till then the money is in a bank getting interest at rate 4% compounded annually. When both turn 25, they receive the same amount. How much had A given Q initially, if total money with A was Rs.25500?

a. Rs. 12500
b. Rs. 13000
c. Rs. 15000
d. Rs. 11500
Answer  Explanation 

ANSWER: Rs. 13000

Explanation:
compound interest


3)   What will be difference in population 3 years ago and 2 years ago of Devon village, whose current population is 100000 and which is increasing at a rate of 25% every year?

a. 15250
b. 13900
c. 16400
d. 12800
Answer  Explanation 

ANSWER: 12800

Explanation:
compound interest


4)   A milkman had water and milk mixture in a can with water to milk ratio 5:7. He accidently spills 9 liters of the mixture. He then fills the can with water equal in quantity to spilled mixture. This makes the water to milk ratio 9:7. How much milk did the can initially have?

a. 21 liters
b. 24 liters
c. 16 liters
d. 20 liters
Answer  Explanation 

ANSWER: 21 liters

Explanation:
mixture and alligation


5)   Chaman has two big cans of wine and water mixture. Chaman mixes the contents of both the cans in a big container. The new mixture has half water and half wine. In what quantity did Chaman mix contents of Can 1 and 2 if Can 2 has wine to water ratio of 2:3 and Can 1 has wine to water ratio 5:3?

a. 5:3
b. 4:5
c. 5:4
d. 2:5
Answer  Explanation 

ANSWER: 4:5

Explanation:
mixture and alligation


6)   Speed of river is 6 km/hr. Speed of a motorboat in still water is 30km/hr. How much distance can it cover downstream in 24minutes?

a. 9.8 km
b. 864 m
c. 12.8 km
d. 14.4 km
Answer  Explanation 

ANSWER: 14.4 km

Explanation:
boats and streams


7)   Rajesh has a container which has a mixture of wine and water in it. Wine and water are in the ratio 4:1. Rajesh spills some of the mixture by accident. He then replaces the spilled amount with water of same quantity. But now the wine to water ratio became 3:2. How much water did Rajesh add?

a. 3/5
b. 1/2
c. 1/4
d. 2/7
Answer  Explanation 

ANSWER: 1/4

Explanation:
mixture and alligation


8)   Gurpreet went to a shop and bought a sofa. She got a 20% discount on it. Had she gotten 25% discount she would have saved Rs. 1000 more. How much did she pay for the sofa?

a. Rs. 5000
b. Rs. 10,000
c. Rs. 20,000
d. Rs. 25000
Answer  Explanation 

ANSWER: Rs. 20,000

Explanation:
discount


9)   P and Q work together and get a payment of Rs. 1400. P can complete the work alone in just 30 days. But Q takes 40 days to complete the work alone. What is P’s share out of the wages they get?

a. Rs. 800
b. Rs. 600
c. Rs. 1000
d. Rs. 700
Answer  Explanation 

ANSWER: Rs. 800

Explanation:
work and wages


10)   P and Q work together on a task for 5 days. They then leave and rest of the task is done by R in just 2 days. All the three together are paid Rs. 450. What will be R’s share out of the payment if P alone could do the task in 10 days and Q alone can do the task alone in 15 days?

a. Rs. 100
b. Rs. 75
c. Rs. 225
d. Rs. 50
Answer  Explanation 

ANSWER: Rs. 75

Explanation:
work and wages


11)   What will be share of Rajesh, if together Ramesh and Suresh complete only 7/11 of the task, and all three had been given the contract to finish the task for Rs. 1100?

a. Rs. 350(4/11)
b. Rs. 200
c. Rs. 400
d. Rs. 650
Answer  Explanation 

ANSWER: Rs. 400

Explanation:
work and wages


12)   P and Q together earn Rs. 188 per day. Q and R together earn Rs. 152 per day. P, Q and R when working together earn Rs. 300 per day. How much does Q earn daily?

a. Rs. 43
b. Rs. 56
c. Rs. 45
d. Rs. 40
Answer  Explanation 

ANSWER: Rs. 40

Explanation:
work and wages


13)   Ram and Shyam have been given a task of painting a house for Rs. 800. With the help of Rita, they complete the job in just 3 days. Had Ram alone be doing the task, he would need 6 days. If Shyam alone would be doing the task, he would need 8 days. How much money will Rita get?

a. Rs. 80
b. Rs. 150
c. Rs. 100
d. Rs. 125
Answer  Explanation 

ANSWER: Rs. 100

Explanation:
work and wages


14)   Raj got a new chair for 35% discount. Had Raj got no discount, Raj would have had to pay Rs. 224 more. How much did Raj pay for the chair?

a. Rs. 416
b. Rs. 640
c. Rs. 208
d. Rs. 224
Answer  Explanation 

ANSWER: Rs. 416

Explanation:
discount


15)   Raju invested Rs. 77500 in ICICI bank. In two years how much compound interest will he get, if the first year rate of interest was 10% and second year had 2% more than first year?

a. Rs. 17850
b. Rs. 17980
c. Rs. 18963
d. Rs. 16880
Answer  Explanation 

ANSWER: Rs. 17980

Explanation:
compound interest


16)   What is value of 945.341-1042.792+875.435+31.025?

a. 908.004
b. 810.008
c. 795.659
d. 809.009
Answer  Explanation 

ANSWER: 809.009

Explanation:
decimals


17)   What will be ratio of simple to compound interest on two same sums invested in SBI at rate of interest of 8% kept for 3 years?

a. 1875/2029
b. 1/2.5
c. 1903/2156
d. 4/9
Answer  Explanation 

ANSWER: 1875/2029

Explanation:
compound interest


18)   In the India-Australia one day match, due to rain, India needed 324 runs in 48 overs to win. In initial 10 overs, the average scoring rate was 6, but in next 10 overs it increased to 8.5. It then declined to 5.5 in next 10 overs and again rose to 7 in next 10 overs. To win the match now what average is needed?

a. 8.25
b. 6.75
c. 7.75
d. 7.0
Answer  Explanation 

ANSWER: 6.75

Explanation:
average


19)   A man goes to Mumbai from Pune at a speed of 4 km/hr and returns to Pune at speed of 6km/hr. What is his average speed of the entire journey?

a. 4.8km/hr
b. 5 km/hr
c. 4.2 km/hr
d. 5.6 km/hr
Answer  Explanation 

ANSWER: 4.8km/hr

Explanation:
speed distance and time


20)   In a library, the ratio of number of story books to that of non-story books was 4:3 and total number of story books was 1248. When some more story books were bought, the ratio became 5:3. Find the number of story books bought.

a. 312
b. 321
c. 936
d. 1560
Answer  Explanation 

ANSWER: 312

Explanation:
ratio and proportion