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CA Foundation Maths Practice Set
1
...
A cottage industry produces a certain number of pottery articles in
a day
...
) was 2 more than thrice the number of articles
produced on that day
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800, the number of articles was
(a) 14
(b) 16
(c) 12
(d) 18

3
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positive value of ‘k’ for which the roots of equation 12x2 + kx + 5 =
0 are in the ratio 3:2 is:
(a) 5/12
(b) 12/5
(c)

5√10
2

(d) 5√10

5
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me/+jsR4t5AcbD5jZjNl

(a) Real and equal
(b) Real and unequal
(c) Imaginary
(d) Real and rational

6
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If α,β are roots of the equation x2−5x+6=0, then the equation whose
roots are (α+3) and (β+3) is
(a) 2x2 – 30x + 30 = 0
(b) -x2 + 11x = 30
(c) X2 – 11x + 30 = 0
(d) None of these

8
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On solving

, we get one value of x as:

(a) 4/13
(b) 1/13
(c) 2/13
(d) 3/13

10
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(b) (c + a)2 + b(c + a)x + (ac) = 0
(c) cax2 + b(c + a)x + (c + a)2 = 0
(d) cbx2 + b(c + a)x + (c + a)2 = 0

11
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Then

the value of 𝑎𝟐 + 𝖰𝟐 +

𝟐

is

(a) a2 + b2 + c2
(b) b2 – a2
(c) a2 – 2b
(d) a2 + 2b

12
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If α and β are the roots of the equation 2x2+5x + k = 0, and 4

(α2 + β2 + αβ) = 23, then which of the following is true?
(a) 𝑘2+3𝑘 − 2 = 0
(b) 𝑘2−2𝑘 + 3 = 0
(c) 𝑘2−2𝑘 − 3 = 0
(d) 𝑘2−3𝑘 + 2 = 0

14
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Find the value of ‘r’?
(a) -4/3
(b) 7/3
(c) -5/3
(d) 1

15
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me/+jsR4t5AcbD5jZjNl

(c) x2 + 2bx – (C2 – b2) = 0
(d) x2 – 2cx + c2 – b2 = 0

Roots of equation 2x2 + 3x + 7 = 0 are α and β
...

1

+ βα-1 is
(a) 2
(b) 7/2
(c) 3/7
(d) -19/14

17
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After 8 years, his
age will be 10 years more than twice the sum of the ages of his
grandsons
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(a)
(b)
(c)
(d)

2
4
0
1

19
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Equation x3 + 4x + 5 = 0 has
(a) All real roots
(b) All imaginary roots
(c) One real & two imaginary roots
(d) Two real & one imaginary roots
21
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800 & 400 bulbs for Rs
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The equation of the total cost line is
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The cab bill is partly fixed & partly varies on the distance covered
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8252, for 484 km the bill is Rs
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What will the bill be
for 503km?
(a) Rs
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9151
(c) Rs
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9000
23
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Also, a + b = 29
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(a) 7
(b) 22
(c) 16
(d) 13
24
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The number of students in each section of a school is 36
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If total number of students in
each section now is 30, then the number of students initially were
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If 𝑎 + 𝖰 = 𝟑 and 𝑎𝟑 + 𝖰𝟑 = 𝟕 𝒕𝒉𝒆𝒏, 𝑎 𝒂𝒏𝒅 𝖰 are the roots of
(a) 3x2 + 9x + 7 = 0
(b) 9x2 – 27x + 20 = 0
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If 𝑎, 𝖰 are the roots of the equation 2x2 – 3x – 6 = 0, then the equation whose
roots are (𝑎𝟐 + 𝟐) 𝒂𝒏𝒅 (𝖰𝟐 + 𝟐) is :
(a) 4x2 – 49x + 118 = 0
(b) 4x2 + 49x – 118 = 0
(c) 4x2 - 49x – 118 = 0
(d) None of these
28
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35
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1 less, the cost would remain unchanged
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If 𝑎, 𝖰 are the roots of the equation x2 – q(1 + x) – r = 0, then the value of
(𝟏 + 𝑎)(𝟏 + 𝖰) is
(a) (1 – r)
(b) (1 + r)
(c) (q – r)
(d) (q + r)
30
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c

2
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b

4
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c

6
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c

8
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a

10
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c

12
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d 14
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d

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d

17
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a

19
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c

21
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c

23
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d

25
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b

27
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a

30
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a

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