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 :

A. If the statement A alone is sufficient to answer the question but the statement B alone is not sufficient.
B.  If the statement B alone is sufficient to answer the question but the statement A alone is not sufficient.
C.  If both statements A and B together are needed to answer the question.
D.  If either the statement A alone or statement B alone is sufficient to answer the question.
E.  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?
A.  -1/2 < x < -1/3
B.   x < -1/2 and x > -1/3
C.   x  -1/2
D.   x  1/2
E.   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:

A.  If x < y
B.   If x   y
C.   If x = y
D.   If x  y
E.   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 ?
A.   4 cm
B.   4.2 cm
C.   2 cm
D.   3 cm
E.   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?
A.   3 : 2
B.   3 : 8
C.   1 : 2
D.   4 : 3
E.   None of these

Answers:
1. D
Using statements A
Profit % = (5 - D.  /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. E
From statement A salary of C = 2.5 B
From statement B, A + B = 2 × 4000 = Rs. 8000

3. B
From statement B, radius of circle = sq. root (169) m = 13m
Required area = Ï€ r^2
= 22/7 * (1C.  ^2

4. A
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. D
Since, speed of car = Distance covered by it/ Time taken by it

6. A
5x^2 + 6x + 1 < 0
6x^2 + 3x + 2x + 1 < 0
(2x + A.  (3x + A.  < 0
(x + 1/B.   (x + 1/C.   <0
- 1/2 < x < -1/3

7. E
From equation I:
x^2 = 9
x = +/-3
From II:
y^2 + 8y + (D.  ^2 = 0
(y + D.  ^2 = 0
y = - 4
x > y

8. A
I: 4x^2 + 12x - 2x - 6 = 0
4x (x + C.   - 2 (x + C.   = 0
(4x - B.   ( x + C.   = 0
x = -3 or 1/2

II:
y^2 - 5y + 6 = 0
(y -C.  (y - B.   = 0
y = 3 or 2
y > x

9. C
___r^2 * 72 = 4/3 Ï€  * (6)^3
r^2 = 4
r = 2 cm

10. E
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

Quant Quiz For SBI Clerk,IBPS,RRB,SSC CGL,CHSL Exams Reviewed by Mani Babu on 16:59:00 Rating: 5
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