Question # 1

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

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

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p ≥ q

p ≤ q

p > q

p < q

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 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

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 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

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

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

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2

4

5

6

If 4-a>5, then

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a > 1

a < 1

a < -1

a > -1

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

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

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

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

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x < y

x > y

|x/y| = 0

None of these

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

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2

-2

1

-1

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

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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