Banking Pathway: Quant Quiz

Posted byadmin Published On April 24th, 2016 Leave a comment on Banking Pathway: 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 statements 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 statement 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 product of x and y ?

A) x = y + 24

B) 36 – 8 = x

2. What is the perimeter of the square ?

A) The measure of one of its sides is given.

B) The measure of its diagonal is given.

3. How long did the secretary’s speech last ?

A) He spoke at an average of 50 words per minute.

B) He would have spoken for 10 min extra had his speech rate been 4 words less per minute.

4. What will Niranjan’s age be 5 years from now ?

A) Niranjan’s present age is twice Sohan’s present age.

B) Sohan, who is half Niranjan’s present age, was 21 years old, 5 years ago.

5. What is the two–digit number ?

A) The product of the two digits of number is 0.

B) The difference between the two–digits of the number is 7.

6. Which of the following values of x will satisfy the inequality x^2 – x – 12 > 0 ?

1) – 3 < x < 4 

2) x > –3 or x < 4 

3) x < –3 or x > 4 

4) –4 < x < 3 

5) None of these

Directions (Q. 7-8): In each of the following questions two equations I and II are given. You have to solve both the equations 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 – 5x + 4 = 0 

II. y^2 + 13y + 12 = 0

8. 

I. x = 2.56 

II. y^2 = 2.56

9. Three cubes of metal, whose edges are 3 cm, 4 cm and 5 cm respectively, are melted to form a new cube. What is the surface area of the new cube?

1) 158 cm^2 

2) 216 cm^2 

3) 242 cm^2 

4) 184 cm^2 

5) None of these

10. The radius of an iron rod decreased to one–third. If its volume remains constant, the length will become?

1) 9 times 

2) 15 times 

3) 6 times 

4) 7.5 times 

5) None of these

1. 3

From statement B, x = 28

From statement A, y = x – 24 = 28 – 24 = 4

xy = 28 × 4

2. 4

Perimeter of a square can be known, if either a side or

a diagonal is known.

3. 3

Let, the secretary spoke for x min. Then from statement

A.

Number of words = 50 x

From statement B,

Number of words spoken = (x + 10) ( 50 –4)

50 x = 46 (x + 10)

x = 460/4 = 115 min

4. 2

From statement B :

Sohan’s age 5 years ago = 21 years

Sohan’s present age = 21 + 5 = 26 years

Niranjan’s present age = 26 × 2 = 52 years

Niranjan’s age after 5 years = 52 + 5 = 57 years

5. 3

Let greater and smaller digits of the number be x and y

respectively. Then,

From statement A, xy = 0

From statement B, x – y = 7

x –y = 7

x = 7, y = 0

Two digit number is 70.

6. 3

x^2 – x – 12 > 0

x^2 – 4x + 3x – 12 > 0

(x – 4) (x + 3) > 0

x < – 3 or x > 4

7. 5

From equation I —-> x^2 – 5x + 4 = 0

(x – 4) (x – 1) = 0

x = 4 or 1

From statement II —-> y^2 + 13y + 12 = 0

(y + 12) (y + 1) = 0

y = –12 or –1

x > y

8. 4

I. x = 1.6

II. y^2 = 2.56

y = +/-√2.56

= 1.6 or –1.6

x >= y

9. 2

Volume of new cube = 33 + 43 + 53 = 216 cm^3

Each edge of the new cube = 3√216 = 6cm

and hence surface area = 6 × 62 = 216 cm^2

10. 1;

π(3x)^2 * h1 = π(x)^2 * h2

= h2 = 9h1