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Question 1 of 10

1. Question

1 points

Category: Quantitative Aptitude

Directions:(Q.1-5). Study the following information carefully and answer the questions given below:

What is the ratio of the total number of male aspirants learning French in Institute L and O together to the total number of female aspirants learning French in the same Institutes together?

Directions:(Q.1-5). Study the following information carefully and answer the questions given below:

In Institute M, out of the total number of aspirants (both male and female) learning French, 1/19 are below 15 years of age. If out of the total aspirants who are below 15 years of age, 50% are females, then what is the number of female aspirants learning French who are 15 years or above?

Correct

Answer – 5) 38
Explanation:
Total number of aspirants who are learning French in Institute M 200 x (38/100) = 76
Number of male aspirants who are learning French = 76 x (9/19) = 36 19
Number of female aspirants who are learning French = 76 x (10/19) = 40
Both males and females below 15 years = 76 × (1/19) = 4
Number of females below 15 years = 4 × (50/100) = 2
Number of female aspirants learning French who are 15 years or above = 40 – 2 = 38

Incorrect

Answer – 5) 38
Explanation:
Total number of aspirants who are learning French in Institute M 200 x (38/100) = 76
Number of male aspirants who are learning French = 76 x (9/19) = 36 19
Number of female aspirants who are learning French = 76 x (10/19) = 40
Both males and females below 15 years = 76 × (1/19) = 4
Number of females below 15 years = 4 × (50/100) = 2
Number of female aspirants learning French who are 15 years or above = 40 – 2 = 38

Question 3 of 10

3. Question

1 points

Category: Quantitative Aptitude

Directions:(Q.1-5). Study the following information carefully and answer the questions given below:

What is the difference between the total number of male aspirants learning French in Institutes M and N together and the total number of female aspirants learning the same language in the same Institutes together?

Correct

Answer – 2) 74
Explanation:
Total number of male aspirants learning French in Institute M and N together
= 200 × (38/100) × (9/19) + 500 × (24/100) × (5/24)
= 36 + 25 = 61
Total number of female aspirants learning French in Institute M and N together
= 200 × (38/100) × (10/19) + 500 × (24/100) × (19/24)
= 40 + 95 = 135
Required difference = 135 — 61 = 74

Incorrect

Answer – 2) 74
Explanation:
Total number of male aspirants learning French in Institute M and N together
= 200 × (38/100) × (9/19) + 500 × (24/100) × (5/24)
= 36 + 25 = 61
Total number of female aspirants learning French in Institute M and N together
= 200 × (38/100) × (10/19) + 500 × (24/100) × (19/24)
= 40 + 95 = 135
Required difference = 135 — 61 = 74

Question 4 of 10

4. Question

1 points

Category: Quantitative Aptitude

Directions:(Q.1-5). Study the following information carefully and answer the questions given below:

What is the average number of aspirants learning Languages(other than French) in Institutes L, M and N?

Directions:(Q.1-5). Study the following information carefully and answer the questions given below:

The number of aspirants(both male and female) who are learning French in Institute M and O together is approximately what percent less than the number of aspirants (both male and female) who are learning the same Language in Institutes L and N together?

Correct

Answer – 2) 42
Explanation:
The number of aspirants (both male and female) who are learning French in Institute M and O together = 200 x (38/100) + 400 × (18/100) = 76 + 72 = 148
The number of aspirants (both males and females) who are learning French in Institute L and N together
= 450 × (30/100) + (500 × 24)/100 = 135 + 120 = 255
Difference = 255 -148 = 107
Required %=(107/255) × 100 = 42

Incorrect

Answer – 2) 42
Explanation:
The number of aspirants (both male and female) who are learning French in Institute M and O together = 200 x (38/100) + 400 × (18/100) = 76 + 72 = 148
The number of aspirants (both males and females) who are learning French in Institute L and N together
= 450 × (30/100) + (500 × 24)/100 = 135 + 120 = 255
Difference = 255 -148 = 107
Required %=(107/255) × 100 = 42

Answer – 2) X < Y
Explanation:
x² – 25x + 156 = 0
x = 12, 13
y² – 32y + 252 = 0
y = 14, 18

Incorrect

Answer – 2) X < Y
Explanation:
x² – 25x + 156 = 0
x = 12, 13
y² – 32y + 252 = 0
y = 14, 18

Question 9 of 10

9. Question

1 points

Category: Quantitative Aptitude

The ratio of the present age of Rajesh to that of Amit is 3 : 11. Amit is 12 years younger than Ramesh. Ramesh’s age after 7 years will be 85 years.
Quantity I: The present age of Rajesh’s father, who is 25 years older than Rajesh
Quantity II: Ramesh’s present age

Correct

Answer – 2. Quantity I < Quantity II
Explanation:
11x = 85 – 7 – 12
x = 6
Present age of Rajesh = 18
Present age of Rajesh’s father = 18 + 25 = 43; Ramesh’s present age = 78

Incorrect

Answer – 2. Quantity I < Quantity II
Explanation:
11x = 85 – 7 – 12
x = 6
Present age of Rajesh = 18
Present age of Rajesh’s father = 18 + 25 = 43; Ramesh’s present age = 78

Question 10 of 10

10. Question

1 points

Category: Quantitative Aptitude

What is the present age of Ramya?
I. The present age of Ramya is half of her father’s age
II. After 5 years, the ratio of ages of Ramya and her father is 6:11
III. Ramya is younger to her brother by five years.

Correct

Answer – 1) I and II
Explanation :
From Statement I and II,
Ramya’s age = x, Her father’s age = 2x
x+5/2x+5 = 6/11
x=25 years

Incorrect

Answer – 1) I and II
Explanation :
From Statement I and II,
Ramya’s age = x, Her father’s age = 2x
x+5/2x+5 = 6/11
x=25 years

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