Question # 1

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: 81x²y² + 108xyz + 36z².

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(6xy + 9z)²

(9xy - 7z)²

(9xy + 6z)²

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

In an examination, a student attempted 15 questions correctly and secured 40 marks. If there were two types of questions (2 marks and 4 marks questions), how many questions of 2 marks did he attempt correctly ?

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5

10

20

40

x = 3 is solution of the question 3x² + (k - 1) x + 9 = 0 then k has value

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13

-13

11

-11

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

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x = 2

x = -2

x = ±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

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

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y < 5

y = 5

y ≥ 0

y > 5

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: 4x² + 12xy + 9y² - 8x -12y

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(3x + 2y)(4x + 2y - 3)

(2x + 3y)(2x + 3y - 4)

(2x - 3y)(2x + 3y + 4)

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

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

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

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

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

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x < y

x > y

|x/y| = 0

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

If the sum of two numbers is 13 and the difference of the numbers is 23, what is the product of the numbers ?

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-90

-23

0

18

36

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