Maths Mcqs Practice Test

Question 1

(i). a2– 7a + 12 = 0,(ii). b2– 3b + 2 = 0 to solve both the equations to find the values of a and b?

Accepted Answer

D. if a > b

Question 2

A man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook?

Accepted Answer

A. 10

Question 3

Find the quadratic equations whose roots are the reciprocals of the roots of 2x2+ 5x + 3 = 0?

Accepted Answer

B. 3x2+ 5x + 2 = 0

Question 4

Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x2+ 8x + 4 = 0?

Accepted Answer

B. 14

Question 5

If a and b are the roots of the equation x2– 9x + 20 = 0, find the value of a2+ b2+ ab?

Accepted Answer

C. 61

Question 6

The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers?

Accepted Answer

B. 20, 22, 24

Question 7

One root of the quadratic equation x2– 12x + a = 0, is thrice the other. Find the value of a?

Accepted Answer

B. 27

Question 8

The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers?

Accepted Answer

A. 9, 10

Question 9

If the roots of the equation 2x2– 5x + b = 0 are in the ratio of 2:3, then find the value of b?

Accepted Answer

A. 3

Question 10

The sum and the product of the roots of the quadratic equation x(power 2) + 20x + 3 = 0 are?

Accepted Answer

C. -20, 3

Question 11

If the roots of a quadratic equation are 20 and -7, then find the equation?

Accepted Answer

C. x2 – 13x – 140 = 0

Question 12

The roots of the equation 3x2– 12x + 10 = 0 are?

Accepted Answer

D. irrational and unequal

Question 13

Find the roots of the quadratic equation: 2×2 + 3x – 9 = 0?

Accepted Answer

B. 3/2, -3

Question 14

Find the roots of the quadratic equation: x2 + 2x – 15 = 0?

Accepted Answer

A. -5, 3

Question 15

An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the cases.

Accepted Answer

B. 8 : 7

Question 16

The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?

Accepted Answer

A. 91.5 cm

Question 17

The length of a rectangle is two – fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?

Accepted Answer

A. 140

Question 18

Find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm?

Accepted Answer

C. 600 sq.m

Question 19

The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas?

Accepted Answer

A. 81 : 121

Question 20

A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?

Accepted Answer

D. None of these