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Out of 14 applicants for a post, there are 6 females and 8 males. It is desired to select 2 persons for the post.
Quantity I: Probability of selecting no female
Quantity II: Probability of selecting at least one female

Correct

Answer – 2) Quantity I < Quantity II
Explanation:
Man only = 8C2 = 14
Probability of selecting no female = 14/91
Probability of selecting at least one female = 1 – 14/91 = 77/91

Incorrect

Answer – 2) Quantity I < Quantity II
Explanation:
Man only = 8C2 = 14
Probability of selecting no female = 14/91
Probability of selecting at least one female = 1 – 14/91 = 77/91

Question 3 of 10

3. Question

1 points

Category: Quantitative Aptitude

12x² – 22x + 8 = 0
18y² + 18y + 4 = 0

Correct

Answer – 1) X > Y
Explanation:
12x² – 22x + 8 = 0
x = 0.13, 0.5
18y² + 18y+ 4 = 0
y = -0.6, -0.3

Incorrect

Answer – 1) X > Y
Explanation:
12x² – 22x + 8 = 0
x = 0.13, 0.5
18y² + 18y+ 4 = 0
y = -0.6, -0.3

Question 4 of 10

4. Question

1 points

Category: Quantitative Aptitude

Eight years ago there were 5 members in the Arun’s family and then the average age of the family was 36 years. Meanwhile, Arun got married and gave birth to a child. Still, the average age of his family is same now. If the difference between the age of her child and herself was 26 years then what is the present age of his wife?

Correct

Answer – 3) 29 years
Explanation:
The present age of his child be x
The present age of wife be x + 26
Thus the total age = x + ( x + 26) = 32 [∵252-220 = 32]
=> x = 3
Present age of his wife = 29 years

Incorrect

Answer – 3) 29 years
Explanation:
The present age of his child be x
The present age of wife be x + 26
Thus the total age = x + ( x + 26) = 32 [∵252-220 = 32]
=> x = 3
Present age of his wife = 29 years

Question 5 of 10

5. Question

1 points

Category: Quantitative Aptitude

What is the percent profit earned at 20% discount?
I) Marked Price(MP) of the book is 40% above its Cost Price(CP).
II) After 15% discount, the profit earned is 19%
III) Marked Price(MP) is Rs 120 above the Cost Price(CP).

Correct

Answer – 3) Either I or II
Explanation:
From I,
Let cost price(CP) = Rs 100, MP = Rs 140
After 20% discount, SP = Rs 140-28 =Rs 112
Profit % = 12 %
Hence , I alone is sufficient
From II,
85 % of MP = 119% of CP
80 % of MP = 119/85 * 80 % of CP = 112% of CP
% profit = 12%

Incorrect

Answer – 3) Either I or II
Explanation:
From I,
Let cost price(CP) = Rs 100, MP = Rs 140
After 20% discount, SP = Rs 140-28 =Rs 112
Profit % = 12 %
Hence , I alone is sufficient
From II,
85 % of MP = 119% of CP
80 % of MP = 119/85 * 80 % of CP = 112% of CP
% profit = 12%

Question 6 of 10

6. Question

1 points

Category: Quantitative Aptitude

The cost of the metal varies directly with square of its weight. Metal is broken into 3 parts whose weights are in the ratio of 3:4:5. If the metal had been broken into three equal parts by weight then there would have been a further loss of Rs. 800. What is the actual cost of the original metal?

Correct

Answer – 4) Rs. 57600
Explanation:
Cost = (3x)^2 + (4x)^2 + (5x)^2 = 50x^2
Loss = 50x^2 – 48x^2 = 2x^2
800 = 2x^2
x^2 = 400
Actual cost of original metal =(12x)^2 = 144x^2 = 144 * 400 = 57600

Incorrect

Answer – 4) Rs. 57600
Explanation:
Cost = (3x)^2 + (4x)^2 + (5x)^2 = 50x^2
Loss = 50x^2 – 48x^2 = 2x^2
800 = 2x^2
x^2 = 400
Actual cost of original metal =(12x)^2 = 144x^2 = 144 * 400 = 57600

Question 7 of 10

7. Question

1 points

Category: Quantitative Aptitude

The rate of interest in two banks SBI and BOB are in the ratio of 7:8. If Suresh invested some amount at SI in both the banks and received equal amount from both the banks in two years. The ratio of amount invested in SBI and BOB respectively is:

33 children can do a work in 30 days. If 44 children started the work together and after every day of the task, one person leaves. What is the minimum number of days required to complete the whole task.

Correct

Answer – 5) 44
Explanation:
Total = 33 * 30 = 990 man-days
First day work = 1/990 * 44
Second day work = 1/990 * 43
Total work in 44 days = 1/990(44 + 43 + 42 + ….)
= 1/990 * (44*45/2)
Total work will be completed in 44 days.

Incorrect

Answer – 5) 44
Explanation:
Total = 33 * 30 = 990 man-days
First day work = 1/990 * 44
Second day work = 1/990 * 43
Total work in 44 days = 1/990(44 + 43 + 42 + ….)
= 1/990 * (44*45/2)
Total work will be completed in 44 days.

Question 9 of 10

9. Question

1 points

Category: Quantitative Aptitude

Amit and Bala setout at the same time to walk towards each other respectively from Chennai and Vellore 144 km apart. Amit walks at the constant speed of 8 kmph, while Bala walks 4 km in the first hour, 5 km in the second hour, 6 km in the third hour and so on. Then the Amit and Bala will meet?

Correct

Answer – 3) Midway between Chennai and Vellore
Explanation:
Distance travelled by them in first hour = 12 km
Distance travelled by them in second hour = 13 km
Distance travelled by them in third hour = 14 km and so on
Thus in 9 hours they will cover exactly 144 km i.e each will cover half the total distance.

Incorrect

Answer – 3) Midway between Chennai and Vellore
Explanation:
Distance travelled by them in first hour = 12 km
Distance travelled by them in second hour = 13 km
Distance travelled by them in third hour = 14 km and so on
Thus in 9 hours they will cover exactly 144 km i.e each will cover half the total distance.

Question 10 of 10

10. Question

1 points

Category: Quantitative Aptitude

In a business venture Arun invests 1/6 of the capital for 1/6 of the time, Bharat invests 1/3 of the capital for 1/3 of the time and Chand, the rest of the capital for the whole time. Out of total profit of Rs. 4,600 Bharat’s share is?

Correct

Answer – 1) Rs. 800
Explanation:
Suppose Arun invests Rs. N/6 for M/ 6 months. Bharat invests Rs. N/3 for M/3 months and Chand invests Rs. [N – (N/6 + N/3)]
For M months.
Ratio of their investment = (N/6 x M/6) : (N/3 x M/3) : (N / 2NM)
= 1/36 : 1/9 : 1/2 = 1 : 4 : 18
∴ Bharat’s share = Rs. 4600 x (4/23) = Rs. 800

Incorrect

Answer – 1) Rs. 800
Explanation:
Suppose Arun invests Rs. N/6 for M/ 6 months. Bharat invests Rs. N/3 for M/3 months and Chand invests Rs. [N – (N/6 + N/3)]
For M months.
Ratio of their investment = (N/6 x M/6) : (N/3 x M/3) : (N / 2NM)
= 1/36 : 1/9 : 1/2 = 1 : 4 : 18
∴ Bharat’s share = Rs. 4600 x (4/23) = Rs. 800

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