Question # 1

The length of each side of a square is 3 more than the length of each side of a regular pentagon. if the perimeters of the square and pentagon are equal, how long is each side of the pentagon ?

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6

12

10

15

18

If x ε N, then solution set of |2x| = 4 is:

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x = 2

x = -2

x = ±2

None of these

Solution set of |2x| = 6 is :

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{3, -3}

{3}

{0, 3}

{-3, 0}

If x+3/2 + 3x =5(x-3) + x+23/5, what is the value of x ?

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3

5

7

9

11

If 5x² - 4x - 1 is divided by x - 1, the remainder is

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0

2

1

None of these

If ax - b = c - dx, what is the value of x in terms of a, b, c, and d?

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b+c/a+d

c-b/a-d

b+c-d/a

c-b/a+d

c/b - d/a

3 chairs and 2 tables cost Rs. 700, while 5 chairs and 3 tables cost Rs. 1100. What is the cost of 2 chairs and 2 tables ?

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Rs. 300

Rs. 350

Rs. 450

Rs. 600

How many seconds longer does it take to drive 1 mile at 40 miles per hour than at 60 miles per hour ?

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15

30

40

60

90

x = 3 is solution of the question 3x² + (k - 1) x + 9 = 0 then k has value

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13

-13

11

-11

If (x-2) is a factor of the polynomial x³-2ax² + ax - 1, find the value of a.

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5/6

7/6

11/6

None of these

A real number is said to be algebraic if it satisfies a polynomial equation with integral coefficients.

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2/3

√2

0

π

A train 100 metres long passes a bridge at the rate of 72 km/hr in 25 seconds. What is the length of the bridge ?

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400 m

170 m

600 m

None of these

If 4p² = 9 and 2q² - 9q + 10 = 0, then:

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p ≤ q

p < q

p ≥ q

p > q

The conditions for the polynomial equation ax² + bx + c = 0 to be quadratic is

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a > 0

a < 0

a ≠ 0

a ≠ 0, b ≠ 0

A father is twice as old as his son. 20 years ago, the age of the father was 12 times the age of the son. The present age of the father (in years) is:

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44

32

22

45

50

What is the value of 'y' in 4y - 3 > 2 + 3y ?

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y < 5

y = 5

y ≥ 0

y > 5

When (x³ - 2x² + px - q) is divided by x² - 2x - 3 the remainder is (x - 6). The values of p and q are:

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p = -2, q = -6

p = 2, q = -6

p = -2, q = 6

p = 2, q = 6

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