Question # 1

Ali was 40 years old when his son Asim was born. How old was Ali when he was 5 times as old as Asim ?

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40

45

50

60

If r1, and r2 are the two roots of the equations x² - 2x - 1 = 0 and if r₁ > r₂, what is r₁ - r₂ ?

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-2√2

-2

0

2√2

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 4p² = 9 and 2q² - 9q + 10 = 0, then:

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p ≤ q

p < q

p ≥ q

p > q

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

The minimum value of x² + 8x + 17 is

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-1

0

1

17

Resolve into factors: (a + b)² - 14c(a + b) + 49c².

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(a - b - 9c)³

(a + b -7c)²

(a + b +9c)²

None of these

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

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

For what values of x is |2x - 3| -4 < 7 ?

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x < 7

0 < x < 3

-4 < x < 7

x < -4 or x>7

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

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p ≥ q

p ≤ q

p > q

p < q

One root of the quadratic equation x² - 5x+6=0 is 3. Find the other root.

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2

-2

1

-1

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

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x=-5, y=3

x=-7, y=5

x=-3, y=2

None of these

If |3x|/2 = 3, then solution set is :

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{(2,1)}

{(2,0)}

{(2,3)}

{(2, -2)}

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

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-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

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