Question # 1

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

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y < 5

y = 5

y ≥ 0

y > 5

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

When x > 0, y > 0 and x - y > 0, then :

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x < y

x > y

|x/y| = 0

None of these

Find the factors of (a - b)³ + (b - c)³ + (c - a)³

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3(a + b)(b + c)(c + a)

5(a - b)(b - c)(c - a)

3(a - b)(b - c)(c - a)

None of these

If 4-a>5, then

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a > 1

a < 1

a < -1

a > -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 4x + 13=7 -2x, what is the value of x ?

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- 10/3

-3

-1

1

10/3

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

If p² - 18p + 77 = 0 and 3q² - 25q + 28 = 0, then:

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p ≥ q

p ≤ q

p > q

p < q

If (x - 1) is a factor Ax³ + Bx² - 36x + 22 and 2^B = 64^A, find A and B

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A = 4, B = 16

A = 4, B = 24

A = 4, B = 12

A = 8, B = 16

The product of two consecutive positive integers is 12 more than 12 times the sum of those two integers. What is the smaller of the two integers ?

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1

23

24

25

If 4^a = 5^b, what is the ratio of a to b?

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0.8

0.86

1.08

1.16

1.25

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

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

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p ≤ q

p < q

p ≥ q

p > q

If 4^a = 8^b, what is the ratio of a to b ?

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1/2

2/3

3/2

2/1

4/1

If x/2-2>x/3, then find the value of x ?

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x < 12

x > 12

x ≤ 12

x ≥ 12

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

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x = 2

x = -2

x = ±2

None of these

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