Question # 1

Compare the speed of two trains, one moving at the speed of 80 km/hr and the other at 10m/sec.

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30 : 9

40 : 9

20 : 9

None of these

Which of the following is equivalent to 3x² - x < 2 ?

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- 3/2 < x < 1

-1 < x < 2/3

- 2/3 < x < 1

-1 < x < 3/2

Which of the following is a solution of the equation √2x + 5=3 ?

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2

4

16

32

This equation has no solution.

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 3 < x < 7 and -12<y<-6, what are all possible values of xy ?

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-72 < xy < -21

-84 < xy < -18

-22 < xy < -36

-22 < xy < -42

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 4p² = 9 and 2q² - 9q + 10 = 0, then:

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p ≤ q

p < q

p ≥ q

p > q

What is the value of the following expression ?

(1 + x)(1 + x²)(1 + x⁴)(1 + x⁸)(1 - x)

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1 + x¹⁶

1 - x¹⁶

x¹⁶ - 1

x⁸ + 1

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

A number consists of two digits whose sum is 10. If 72 be subtracted from the number, the digits are reversed. Find the number.

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91

93

95

None of these

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

Resolve into factors: 16(x-y)² - 9(x+y))²

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(x-5y)(5x-y)

(x + 7y)(7x + y)

(x - 7y)(7x - y)

None of these

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

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

Kiran got married 6 years ago. Today her age is 1 1/4 times her age at the time of marriage. Her

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2 years

3 years

4 years

5 years

Solve: 7x+11y=1, 8x+13y=2.

Choose an answer

x=-5, y=3

x=-7, y=5

x=-3, y=2

None of these

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

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