Question # 1

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

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

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

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

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

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

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

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2

-2

1

-1

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

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

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- 10/3

-3

-1

1

10/3

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

A jar contains only red, white, and blue marbles. The number of red marbles is 4/5 the number of white ones, and the number of white ones is 3/4 the number of blue ones. If there are 470 marbles in all, how many of them are blue ?

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120

135

150

200

220

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

The number of quadratic equations which are unchanged by squaring their roots is

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2

4

5

6

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

Solution set of |2x| = 6 is :

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{3, -3}

{3}

{0, 3}

{-3, 0}

Ten years ago A was half of B in age. If the ratio of their present ages is 3 : 4, what will be the total of their present ages ?

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8 years

20 years

30 years

35 years

40 years

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

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