Quant Quiz

Quant Quiz

Directions (Q. 1-5): Each question below is followed by two statements A and B. 

You have to decide whether the data given in the statements are sufficient for answering the questions. 

Read both the statement and give answer :

1) If the statement A alone is sufficient to answer the question but the statement B alone is not sufficient.

2) If the statement B alone is sufficient to answer the question but the statement A alone is not sufficient.

3) If both statements A and B together are needed to answer the question.

4) If either the statement A alone or statement B alone is sufficient to answer the question.

5) If the data even in both statements A and B together are not sufficient to answer the question.

1. What is the profit earned by selling a pen for Rs. 120 ?

A) The cost price of 5 such pens is equal to selling price of 4 such pens.

B) 25% profit is earned by selling each pen.

2. What is the salary of C, in a group of A, B, C, D and E, whose average salary is Rs. 12000 ?

A) C's salary is 2.5 times B's salary.

B) Average salary of A and B is Rs. 4000.

3. What is the area of the circle ?

A) The breadth of a rectangle is 3/4th radius of circle.

B) The radius of the circle is equal to the side of a square of area 169 sq m.

4. What is the three digit number ?

A) 3/5 of a number is less by 90 of that number.

B) 1/4 of a number is 25% of that number.

5. What is the speed of the car ?

A) The car covers a distance 120 km in 4 hours.

B) The car covers a distance 210 km in 7 hours.

6. If 6x^2 + 5x + 1 < 0 then the value of x satisfies which inequality are ?

1) -1/2 < x < -1/3

2) x < -1/2 and x > -1/3

3) x ≥ -1/2

4) x ≤ 1/2

5) None of these

Directions (Q. 7-8): In each of these questions, two equations I and II with variable ‘x’ and ‘y’ are given. 

You have to solve both the equations to find the value x and y and give answer:

1) If x < y 

2) If x ≤  y 

3) If x = y 

4) If x ≥ y 

5) If x > y

7. 

I. x^2 = 9 

II. y^2 + 8y + 16 = 0

8. 

I. 4x^2 + 10x – 6 = 0 

II. y^2 – 5y + 6 = 0

9. The radius of a copper sphere is 6 cm. The sphere is melted and drawn into a long wire of uniform circular cross section.

 If the length of the wire is 72 cm, then the radius of wire is ?

1) 4 cm 

2) 4.2 cm 

3) 2 cm 

4) 3 cm 

5) None of these

10. The ratio of length of rhombus is 3 : 4. Then, the ratio of the area of the rhombus to the square of the shorter diagonal is?

1) 3 : 2 

2) 3 : 8 

3) 1 : 2 

4) 4 : 3 

5) None of these

ANSWERS:

1. 4

Using statements A

Profit % = (5 - 4)/4 * 100 = 25%

Cost price = 125 * 100/125 = Rs. 96

Profit = 120 – 96 = Rs. 24

Similarly, we can find profit by using statement B.

2. 5

From statement A salary of C = 2.5 B

From statement B, A + B = 2 × 4000 = Rs. 8000

3. 2

From statement B, radius of circle = sq. root (169) m = 13m

Required area = π r^2

= 22/7 * (13)^2

4. 1

From statement A, 3/5 * x = x - 90

2/5x = 90

From B, x/4 = x/4 we can't determine the value of x

5. 4

Since, speed of car = Distance covered by it/ Time taken by it

6. 1

5x^2 + 6x + 1 < 0

6x^2 + 3x + 2x + 1 < 0

(2x + 1) (3x + 1) < 0

(x + 1/2) (x + 1/3) <0

- 1/2 < x < -1/3

7. 5

From equation I:

x^2 = 9

x = +/-3

From II:

y^2 + 8y + (4)^2 = 0

(y + 4)^2 = 0

y = - 4

x > y

8. 1

I: 4x^2 + 12x - 2x - 6 = 0

4x (x + 3) - 2 (x + 3) = 0

(4x - 2) ( x + 3) = 0

x = -3 or 1/2

II:

y^2 - 5y + 6 = 0

(y -3)(y - 2) = 0

y = 3 or 2

y > x

9. 3

___r^2 * 72 = 4/3 π  * (6)^3

r^2 = 4

r = 2 cm

10. 5

Area of rhombus = 1/2 * 3x * 4x = 6x^2

Square of the shorter diagonal = 3x^2 = 9x^2

Req. Ratio = 6x^2/9x^2 = 2/3