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Two liquids are mixed in the ratio 3 : 5 and the mixture is sold at Rs. 12 per kg at 20% profit, if the first liquid costs Rs. 2 more per kg than the second, what is the cost of first liquid per litre?

Correct

EXPLANATION
C.P of mixture= 100/120 * 12 = Rs. 10
Let Cost of second liquid be Rs. X
Then cost of first liquid is Rs. X+2
3(2+X) + 5X/8 = 10
6+3x+5x= 80
8x= 74
X= 9.25
Cost of first liquid = 9.25+2= 11.25

Incorrect

EXPLANATION
C.P of mixture= 100/120 * 12 = Rs. 10
Let Cost of second liquid be Rs. X
Then cost of first liquid is Rs. X+2
3(2+X) + 5X/8 = 10
6+3x+5x= 80
8x= 74
X= 9.25
Cost of first liquid = 9.25+2= 11.25

Question 7 of 10

7. Question

1 points

Category: Quantitative Aptitude

Mithun has two bags (A & B) that contain green and blue balls. In the Bag ‘A’ there are 8 green and 6 blue balls and in the Bag ‘B’ there are 6 green and 8 blue balls. One ball is drawn out from any of these two bags. What is the probability that the ball drawn is blue?

Correct

EXPLANATION
Total balls in A bag = 14, Total balls in B bag = 14
A bag contains 6 blue balls; B bag contains 8 blue balls
(Probability of choosing one bag out of two = 1/2)
The probability of getting blue ball from A bag = 1/2(6c1/14c1) = 3/14
The probability of getting blue ball from B bag = 1/2(8c1/14c1) = 2/7
Total Probability = 3/14 + 2/7 = 7/14 = ½

Incorrect

EXPLANATION
Total balls in A bag = 14, Total balls in B bag = 14
A bag contains 6 blue balls; B bag contains 8 blue balls
(Probability of choosing one bag out of two = 1/2)
The probability of getting blue ball from A bag = 1/2(6c1/14c1) = 3/14
The probability of getting blue ball from B bag = 1/2(8c1/14c1) = 2/7
Total Probability = 3/14 + 2/7 = 7/14 = ½

Question 8 of 10

8. Question

1 points

Category: Quantitative Aptitude

The radius of a wheel of car is 140 cm. How many revolutions per minute the wheel will make in order to keep a speed of 66 km/hr?

Correct

Explanation:
Distance to be covered in 1 min = 66*(1000/60) = 1100 m
140 cm = 1.4 m
Circumference of wheel = 2*(22/7)*1.4 = 8.8 m
Number of revolutions = (1100/8.8) = 125

Incorrect

Explanation:
Distance to be covered in 1 min = 66*(1000/60) = 1100 m
140 cm = 1.4 m
Circumference of wheel = 2*(22/7)*1.4 = 8.8 m
Number of revolutions = (1100/8.8) = 125

Question 9 of 10

9. Question

1 points

Category: Quantitative Aptitude

A boatman goes 4 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 15 km in stationary water?

Correct

Explanation:
Rate downstream = 1*60/10 = 6 km/hr
Rate upstream = 4 km/hr
Speed in still water = (6+4)/2 = 5 km/hr
Required time = 15/5 = 3 hrs

Incorrect

Explanation:
Rate downstream = 1*60/10 = 6 km/hr
Rate upstream = 4 km/hr
Speed in still water = (6+4)/2 = 5 km/hr
Required time = 15/5 = 3 hrs

Question 10 of 10

10. Question

1 points

Category: Quantitative Aptitude

15 percent of the voters in an election did not cast their votes. In this election there are only two candidates. The winner by obtaining 48% of the total votes and defeated his rival by 22000 votes. The total number of votes in the election

Correct

Explanation:
15% didn’t cast their vote. 48% of total votes get by the winning candidates, so remaining 37% will be scored by his rival. So,
(48/100 – 37/100)*P = 22000
P = 200000

Incorrect

Explanation:
15% didn’t cast their vote. 48% of total votes get by the winning candidates, so remaining 37% will be scored by his rival. So,
(48/100 – 37/100)*P = 22000
P = 200000