Math Mcqs Test Preparation for ECAT & MCAT - Set 18

1)   A train 100 meters long completely passes a man walking in the same direction at 6 km/h in 5 seconds and a car in the same direction in 6 seconds. The speed of car is:

a. 18 km/h
b. 20 km/h
c. 24 km/h
d. 1/9 km/h
Answer  Explanation 

ANSWER: 18 km/h

Explanation:
No explanation is available for this question!


2)   Two trains 90 and 110 meters long approach one another from opposite directions at 54 and 90 km/h. How long do they take to completely pass one another.

a. 0.5 seconds
b. 2 seconds
c. 5 seconds
d. 10 seconds
Answer  Explanation 

ANSWER: 5 seconds

Explanation:
No explanation is available for this question!


3)   A train traveling at 36 km/h completely passes another train half its length in 12 seconds traveling in opposite direction at 54 km/h. If it also passes a platform in 1 1/2 minutes what is the length of platform:

a. 700
b. 860
c. 900
d. 1000
Answer  Explanation 

ANSWER: 860

Explanation:
No explanation is available for this question!


4)   To travel 600 km train A takes 8 hours more than B. If however the speed of train A is doubled it takes 2 hours less than B. What is the speed of train B.

a. 30
b. 40
c. 50
d. 60
Answer  Explanation 

ANSWER: 50

Explanation:
No explanation is available for this question!


5)   Two trains traveling in the same direction at 40 and 22 km/hr completely pass each other in 1 minute. If the length of the first train is 125 meters what is the length of second train.

a. 125
b. 150
c. 175
d. 185
Answer  Explanation 

ANSWER: 175

Explanation:
No explanation is available for this question!


6)   A train traveling at 60 km/h leaves Multan for Lahore at 7 AM. Another leaves Lahore for Multan at 8 AM and travels at 28 km/h. If the distance from Lahore to Multan is 192 km how far from Multan will the two trains cross another.

a. 90
b. 100
c. 140
d. 150
Answer  Explanation 

ANSWER: 150

Explanation:
No explanation is available for this question!


7)   A train covers the distance d between two cities in h hours arriving 2 hours late. What rate would permit the train to arrive on schedule:

a. h-2
b. d/h-2
c. d/(h-2)
d. dh-2
Answer  Explanation 

ANSWER: d/(h-2)

Explanation:
No explanation is available for this question!


8)   A train traveling at 30 mph is stopped 1

a. 1:01
b. 1:03
c. 1:04
d. 1:45
Answer  Explanation 

ANSWER: 1:03

Explanation:
No explanation is available for this question!


9)   A train covers a distance of 30 km at a speed of 40 km/h and another 30 km/h at the speed of 20 km/h. What is the average speed:

a. 32
b. 30
c. 25
d. none
Answer  Explanation 

ANSWER: none

Explanation:
No explanation is available for this question!


10)   Two trains are moving in opposite directions at the speed of 50 and 70 km/ph. Their lengths are 150m and 100m. The time required for their crossing is:

a. 5 seconds
b. 7.5 seconds
c. 40 seconds
d. none
Answer  Explanation 

ANSWER: 7.5 seconds

Explanation:
No explanation is available for this question!


11)   The percentage of water in 20 litres of adulterated milk is 10. The quantity of water to be added to it to increase the %age of water to 25% is

a. 4 litres
b. 5 litres
c. 6 litres
d. 7 litres
Answer  Explanation 

ANSWER: 4 litres

Explanation:
No explanation is available for this question!


12)   A mixture of 70 litres of milk and water contains 10% water. How much water must be added to make water 12

a. 2
b. 5
c. 10
d. 12
Answer  Explanation 

ANSWER: 2

Explanation:
No explanation is available for this question!


13)   One liquid contains 20% of water another Contains 35% of water. A glass filled with 5 parts of first liquid and 10 parts of second the percentage of water in the new mixture

a. 37%
b. 30%
c. 45%
d. 20%
Answer  Explanation 

ANSWER: 30%

Explanation:
No explanation is available for this question!


14)   If 4 Kg rice of superior quality of Rs: 6 a Kg be mixed with 6 kg. Rice at Rs: 4 per Kg of inferior quality the price of the mixture per kg shall be

a. Rs: 5.00
b. Rs: 4.80
c. Rs: 4.70
d. Rs: 4.35
Answer  Explanation 

ANSWER: Rs: 4.80

Explanation:
No explanation is available for this question!


15)   A jar contains three parts of pure milk and one part of water. How much of the mixture must be drawn and water substituted in order that the result mixture may be half milk and half water

a. 1/4 th
b. 1/2nd
c. 1/3rd
d. 1/5th
Answer  Explanation 

ANSWER: 1/3rd

Explanation:
No explanation is available for this question!


16)   A producer blends two qualities of rice one costing Rs: 12.50 per kg and other costing Rs: 14:00 per kg in the ration of 4:5. Find the profit percent if he sells the mixture at the rate of Rs: 16 per kg

a. 10%
b. 15%
c. 20%
d. 25%
Answer  Explanation 

ANSWER: 20%

Explanation:
No explanation is available for this question!


17)   6 parts of milk are mixed with one part of water 5 litres of water are added to the mixture and it is then found to certain 5 times as much milk as water. How many litres of milk were there in the mixture first?

a. 16 litres
b. 20 litres
c. 25 litres
d. None of these
Answer  Explanation 

ANSWER: None of these

Explanation:
No explanation is available for this question!