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Quantitative Aptitude0%

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Question 1 of 10

1. Question

1 points

Category: Quantitative Aptitude

What least value must be assigned to *, so that the number 54237*8 is divisible by 8?

Correct

Explanation:
For a number to be divisible by 8, the last three digits should be divisible by 8, so
Start with 718 – not divisible by 8, now 728 divisible by 8 so * is 2

Incorrect

Explanation:
For a number to be divisible by 8, the last three digits should be divisible by 8, so
Start with 718 – not divisible by 8, now 728 divisible by 8 so * is 2

Question 2 of 10

2. Question

1 points

Category: Quantitative Aptitude

The area of a circle having diameter 14 m equals the area of rectangle. If the length of rectangle is 8 less than twice the breadth, what is the perimeter of rectangle?

Correct

Explanation:
Ar of rect. = (22/7) *7 * 7 = 154
So (2b-8)*b = 154
So 2b^2 – 8b – 154 = 0
Or b^2 – 4b – 77 = 0
Solve, b = 11, so l = 2b-8 = 14
So perimeter = 2(11+14)

Incorrect

Explanation:
Ar of rect. = (22/7) *7 * 7 = 154
So (2b-8)*b = 154
So 2b^2 – 8b – 154 = 0
Or b^2 – 4b – 77 = 0
Solve, b = 11, so l = 2b-8 = 14
So perimeter = 2(11+14)

Question 3 of 10

3. Question

1 points

Category: Quantitative Aptitude

A and B have their present ages in the ratio 5 : 3. Also A’s age 4 years ago and B’s 4 years hence is same. Find the ratio of A’s age 2 years hence to B’s age 2 years ago.

Correct

Explanation:
Let A’s present age = 5x, and B’s = 3x
A’s age 4 years ago to B’s age 4 years hence is same
So (5x-4) = (3x+4)
Solve x = 4
So A’s present age = 20, and B’s = 12
Required ratio = (20+2) : (12-2)

Incorrect

Explanation:
Let A’s present age = 5x, and B’s = 3x
A’s age 4 years ago to B’s age 4 years hence is same
So (5x-4) = (3x+4)
Solve x = 4
So A’s present age = 20, and B’s = 12
Required ratio = (20+2) : (12-2)

Question 4 of 10

4. Question

1 points

Category: Quantitative Aptitude

A and B invested in a business as Rs 1600 and Rs 1800 respectively. After 4 months both withdrew this amount and invested Rs 1800 and Rs 1600 respectively. What is the difference in the shares of both after a year if a total profit of Rs 11,730 is obtained?

The speed of boat is 10 km/hr and speed of stream is 4 km/hr. A person goes 84 km downstream from point A to B and same distance upstream from point B to C. In how much total time will he cover his journey?

Correct

Incorrect

Question 6 of 10

6. Question

1 points

Category: Quantitative Aptitude

The value of [{cos^{2}A(sinA + cosA)/cosec^{2}A(sinA – cosA)} + {sin^{2}A(sinA – cosA)/sec^{2}A(sinA + cosA)}] [sec^{2}A – cosec^{2}A]

Explanation:
We have formula, Minimum value = 2√(ab)
So Minimum value = 2√(3*2) = 2√6

Incorrect

Explanation:
We have formula, Minimum value = 2√(ab)
So Minimum value = 2√(3*2) = 2√6

Question 8 of 10

8. Question

1 points

Category: Quantitative Aptitude

Find the area of the colored portion in the figure below, the radius of the circle being 4 cm.

Correct

Explanation:
Radius = 4
So ar of semi circle = ᴨ/2 * 4 * 4 = 8ᴨ sq. cm
Both triangles are isosceles
Area of both triangles = 4*4/2 = 8 sq. cm
So area of both triangles = 2*8 = 16 sq. cm
So area of colored portion = 8ᴨ-16

Incorrect

Explanation:
Radius = 4
So ar of semi circle = ᴨ/2 * 4 * 4 = 8ᴨ sq. cm
Both triangles are isosceles
Area of both triangles = 4*4/2 = 8 sq. cm
So area of both triangles = 2*8 = 16 sq. cm
So area of colored portion = 8ᴨ-16

Question 9 of 10

9. Question

1 points

Category: Quantitative Aptitude

ABC is an equilateral triangle with side = 4 cm. With A, B, and C as centres and radius 2 cm three arcs are drawn. Find the area of the region within the ∆ABC bounded by the three arcs.

Correct

Explanation:

Each angle of triangle is 60.
Area of 3 sectors = 3 * 60/360 * ᴨ * (2)^2 = 2ᴨ
Area of triangle = √3/4 * 4 * 4 = 4√3
So req. area = 4√3 – 2ᴨ

Incorrect

Explanation:

Each angle of triangle is 60.
Area of 3 sectors = 3 * 60/360 * ᴨ * (2)^2 = 2ᴨ
Area of triangle = √3/4 * 4 * 4 = 4√3
So req. area = 4√3 – 2ᴨ

Question 10 of 10

10. Question

1 points

Category: Quantitative Aptitude

Find the least number which when divided by 10, 15, 18 and 30 leaves the same remainder 4 in each case.

Correct

Explanation:
It will be the LCM of these numbers + 4
So 90 + 4

Incorrect

Explanation:
It will be the LCM of these numbers + 4
So 90 + 4