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Answer – 2. X < Y
Explanation:
x² + 19x + 90 = 0
x = -9, -10
y² + 12y + 32 = 0
y = – 4, – 8

Incorrect

Answer – 2. X < Y
Explanation:
x² + 19x + 90 = 0
x = -9, -10
y² + 12y + 32 = 0
y = – 4, – 8

Question 5 of 10

5. Question

1 points

Category: Quantitative Aptitude

Sharmi gave 25% of her monthly salary to her father. From the remaining salary, she paid 15% towards rent and 25%, she kept aside for EMI. The remaining amount was kept in bank account. The sum of the amount she kept in the bank and that she gave to her father was Rs 42000. What was her monthly salary?

Correct

Answer – 2. Rs 60000
Explanation:
Amount given to her father = x/4
Remaining salary = 3x/4
Rent + EMI = 40%
Remaining salary = 3x/4 * 60/100 = 9x/20
x/4 + 9x/20 = 42000
x = 60000

Incorrect

Answer – 2. Rs 60000
Explanation:
Amount given to her father = x/4
Remaining salary = 3x/4
Rent + EMI = 40%
Remaining salary = 3x/4 * 60/100 = 9x/20
x/4 + 9x/20 = 42000
x = 60000

Question 6 of 10

6. Question

1 points

Category: Quantitative Aptitude

Ajay is thrice as efficient as Balaji. Ajay started working and after 4 days he was replaced by Balaji. Balaji then worked for 15 days and left. If Ajay and Balaji together finished 75% of the total work, in how many days Balaji alone can finish the whole work?

Correct

Answer – 4. 36 days Explanation:
Time taken by Ajay = x
Time taken by Balaji = 3x
4/x + 15/3x = 3/4
9/x = 3/4
x = 12 days
Time taken by Balaji = 36 days

Incorrect

Answer – 4. 36 days Explanation:
Time taken by Ajay = x
Time taken by Balaji = 3x
4/x + 15/3x = 3/4
9/x = 3/4
x = 12 days
Time taken by Balaji = 36 days

Question 7 of 10

7. Question

1 points

Category: Quantitative Aptitude

The cost price of Watch B is Rs 150 more than the cost price of Watch A, A was sold at a profit of 10% and Watch B was sold at a loss of 20%. If the respective ratio of selling price of Watches A and B is 11 : 12, what is the cost price of Watch B?

Correct

Answer – 1. Rs 450
Explanation:
CP of Watch A = x
CP of Watch B = x + 150
110x/(x+150)80 = 11/12
10x/(x+150)20 = 1/3
3x = 2x + 300
x = 300
CP of Watch B = 300 + 150 = 450

Incorrect

Answer – 1. Rs 450
Explanation:
CP of Watch A = x
CP of Watch B = x + 150
110x/(x+150)80 = 11/12
10x/(x+150)20 = 1/3
3x = 2x + 300
x = 300
CP of Watch B = 300 + 150 = 450

Question 8 of 10

8. Question

1 points

Category: Quantitative Aptitude

A vessel contains a mixture of Lime and water in the respective ratio of 10 : 3. Twenty-six litres of this mixture was taken out and replaced with 10 L of water. If the resultant respective ratio of Lime and water in the mixture was 5 : 2, what was the initial quantity of mixture in the vessel?

Correct

Answer – 4. 156 L
Explanation:
In 26L of mixture,
Lime = 10/13 * 26 = 20L
Water = 6L
Lime = 10x; Water = 3x
10x-20/3x-6+10 = 5/2
2x-4/3x+4 = 1/2
x= 12
Initial quantity of mixture = 13x = 156

Incorrect

Answer – 4. 156 L
Explanation:
In 26L of mixture,
Lime = 10/13 * 26 = 20L
Water = 6L
Lime = 10x; Water = 3x
10x-20/3x-6+10 = 5/2
2x-4/3x+4 = 1/2
x= 12
Initial quantity of mixture = 13x = 156

Question 9 of 10

9. Question

1 points

Category: Quantitative Aptitude

In a bag there are 6 red balls and 9 green balls. Two balls are drawn at random, what is the probability that at least one of the balls drawn is red?

Correct

Answer – 3. 23/35 Explanation:
Total numbers of balls in the bag = 6 + 9 = 15
15c2 = 105
6C1*9C1 + 6C2 = 69
Required Probability = 69/105 = 23/35

Incorrect

Answer – 3. 23/35 Explanation:
Total numbers of balls in the bag = 6 + 9 = 15
15c2 = 105
6C1*9C1 + 6C2 = 69
Required Probability = 69/105 = 23/35

Question 10 of 10

10. Question

1 points

Category: Quantitative Aptitude

A cistern is filled in eight hours by three pipes P, A and M. Pipe P is twice as fast as pipe A, and A is twice as fast as M. How much time will pipe A alone take to fill the cistern?