Class/Course  CA  CPC
Subject  Quantitative Aptitude
Total Number of Question/s  6262
Just Exam provide question bank for CA  CPC standard. Currently number of question's are 6262. We provide this data in all format (word, excel, pdf, sql, latex form with images) to institutes for conducting online test/ examinations. Here we are providing some demo contents. Interested person may contact us at info@justexam.in

1. Ratio and Proportion, Indices and Logarithm  Quiz
1. Show that $\left ( x^{\frac{1}{ab}} \right )^{\frac{1}{ac}}\times \left ( x^{\frac{1}{bc}} \right )^{\frac{1}{ba}}\times\left ( x^{\frac{1}{ca}} \right )^{\frac{1}{cb}}$ is given by
a) 0
b) 1
c) 1
d) None
2. On solving the equation log_{3}[log_{2}(log_{3}t)] = 1 we get the value of t as
a) 8
b) 18
c) 81
d) 6561

2. Equations  Quiz
1. If $\frac{xa}{b}+ \frac{xb}{a} = \frac{b}{xa} +\frac{a}{xb}$ then the values of x are
a) 0, (a+b) , (ab)
b) 0, (a+b), $\frac{a^{2}+b^{2}}{a+b}$
c) 0, (ab), $\frac{a^{2}+b^{2}}{a+b}$
d) $\frac{a^{2}+b^{2}}{a+b}$
2. Solving equation $6\left [ \sqrt{\frac{x}{1x}} + \sqrt{\frac{1x}{x}}\right ] = 13$ following roots are obtained
a) $\frac{4}{13}, \frac{9}{13}$
b) $\frac{4}{13}, \frac{4}{13}$
c) $\frac{4}{13}, \frac{5}{13}$
d) $\frac{6}{13}, \frac{7}{13}$

3. Inequalities  Quiz
1. Graph of the inequations are below:
L1 : 2x + y = 9 L2 : x + y = 7 L3 : x + 2y = 10 L4: x + 3y = 12
The coomon region (shaded part) indicated on the diagram is expressed by the set of inequalities
a) 2x + y ≤ 9
x + y ≥ 7
x + 2y ≥ 10
x + 3 y ≥ 12
b) 2x + y ≥ 9
x + y ≤ 7
x + 2y ≥ 10
x + 3y ≥ 12
c) 2x + y ≥ 9
x + y ≥ 7
x + 2y ≥ 10
x + 3 y ≥ 12
x ≥ 0, y ≥ 0
d) none of these
2. A car manufacturing company manufactures cars of two types A and B. Model A requires 150 manhours for assembling, 50 manhours for painting and 10 manhours for checking and testing. Model B requires 60 manhours for assembling, 40 manhours for painting and 20 manhours for checking and testing. There are available 30 thousand manhours for assembling, 13 thousand manhours for checking and testing. Express the above situation using linear inequalities. Let the company manufacture x units of type A model of car and y units type B model of car. Then, the inequalities are:
a) 5x+2y ≥ 1000; 5x + 4y ≥ 1300,
x+2y ≤ 500; x ≥ 0, y ≥ 0,
b) 5x + 2y ≤ 1000, 5x+4y ≤ 13000,
x+2y ≥ 500; x ≥ 0, y ≥ 0.
c) 5x+2y ≤ 1,000, 5x+4y ≤ 1300,
x+2y ≤ 500; x≥ 0, y≥ 0.
d) 5x + 2y = 1000, 5x+4y ≥ 1300,
x+2y = 500; x≥ 0, y ≥ 0.

4. Simple and Compound Interest  Quiz
1. Raja aged 40 wishes his wife Rani to have Rs. 40 lakhs at his death. If his expectation of life is another 30 years and he starts making equal annual investments commencing now at 3% compound interest p.a. How much should he invest annually?
a) Rs. 84.077
b) Rs. 81.628
c) Rs. 84.449
d) Rs. 84.247
2. A loan of Rs. 10.000 is to be paid back in 30 equal instalments. The amount of each installment to cover the principal and at 4% p.a. CI is
a) Rs. 587.87
b) Rs. 587
c) Rs. 578.87
d) None of these

5. Permutations and Combinations  Quiz
1. ^{51}c_{31} is equal to
a) ^{51}c_{20}
b) 2.^{50}c_{20}
c) 2.^{45}c_{15}
d) None of these
2. Find the number of arrangements of 5 things taken out of 12 things, in which one particular thing must always be included.
a) 39,000
b) 37,600
c) 39,600
d) 36,000

6. Sets, Functions and Relations  Quiz
1. For a group of 200 persons, 100 are interested in music, 70 in photography and 40 in swimming, further more 40 are interested in both music and photography, 30 in both music and swimming, 20 in photography and swimming and 10 in all the three. How many are interested in photography but not in music and swimming?
a) 30
b) 15
c) 25
d) 20
2. If A = {1, 2, 3, 4, }
B = {2, 4, 6, 8}
f(1) = 2, f(2) = 4, f(3) = 6 and
f(4) = 8, And f: →B then f^{1} is:
a) {(2, 1), (4, 2), (6, 3), (8, 4)}
b) {(1, 2), (2, 4), (3, 6), (4, 8)}
c) {(1, 4), (2, 2), (3, 6), (4, 8)}
d) None

7. Limits and Continuity  Quiz
1. $\lim_{x\rightarrow 1}$ $\frac{x^{3}1}{x1}$ is equal to
a) 3
b) 1/3
c) 3
d) None of these
2. $\lim_{y\rightarrow 0}$ $\frac{3y+y}{7y5y}$ =
a) 2
b) 1/6
c) 3/7
d) Does not exit

8. Differential and Integral Calculas  Quiz
1. Given e^{xy } 4xy = 0,$\frac{dy}{dx}$ can be proved to be
a) y/x
b) y/x
c) x/y
d) None of these
2. Integrate w.r.t x, (3x^{1}+ 4x^{2} 3x +8)
a) 3log x  (4/3)x^{3} + (3/2)x^{2}  8x
b) 3log x + (4/3)x^{3}  (3/2)x^{2} + 8x
c) 3log x + (4/3)x^{3} + (3/2)x^{2} + 8x
d) None

9. Statistical Description of Data  Quiz
1. The quickest method to collect primary data is:
a) Personal interview
b) Indirect interview
c) Mailed Questionnaire Method
d) Telephonic interview
2. In a study about the male and female students of commerce and science departments of a college in 5 years, the following dates were obtained:1995 2000 70% male students
65% read commerce
20% of female students read science
3000 total no. of students75% male students
40% read science
50% of male students read commerce
3600 total no. of students
After combining 1995 and 2000 if x denotes the ratio of female commerce students to female Science student and y denotes the ratio of male commerce student to male Science student, then
a) x = y
b) x > y
c) x < y
d) x ≥ y

10. Measures of Central tendency and Dispersion  Quiz
1. If A be the A.M. of two positive unequal quantities X and Y and G be heir G.M. the;
a) A<G
b) A>G
c) A≤G
d) A≥G
2. What is the coefficient of range for the following distribution?Class Interval 1019 2029 3039 4049 5059 Frequency 11 25 16 7 3
a) 22
b) 50
c) 75.82
d) 72.46

11. Correlation and Regression  Quiz
1. If the values of y are not affected by changes in the values of x, the variables are said to be
a) Correlated
b) Uncorrelated
c) Both
d) Zero
2. Two regression lines always intersect at the means.
a) True
b) False
c) Both
d) None

12. Probablilty  Quiz
1. Two balls are drawn from a bag containing 5 white and 7 black balls at random. What is the probability that they would be of different colours?
a) 35/66
b) 30/66
c) 12/66
d) None of these
2. If P(A)=3/8, P(B)=1/3 then P(B) is equal to
a) 1
b) 1/3
c) 2/3
d) None

13. Theoretical Distributions  Quiz
1. An unbiased die is tossed 500 times.The mean of the number of 'Sixes' in these 500 tosses is
a) 50/6
b) 500/6
c) 5/6
d) None
2. Which of the following is not a characteristic of a normal probability distribution?
a) Mean of the normally distributed population lies at the centre of its normal curve.
b) It is multimodal
c) The mean, median and mode are equal
d) It is a symmetric curve

14. Sampling Theory  Quiz
1. Sampling is the process of obtaining a
a) Population
b) Sample
c) Frequency
d) None
2. The sampling is said to be large sampling if the size of the sample is
a) Greater than or equal to 30
b) less than 30
c) less than or equal to 35
d) less than 25

15. Index Numbers  Quiz
1. If ∑P_{o}q_{o} = 3500, ∑P_{n}q_{o} = 3850, then the cost of living Index (C.L.T) for 1950 w.r. to base 1960 is
a) 110
b) 90
c) 100
d) None of these
2. Given below are the data on prices of some consumer goods and the weights attached to the various items Compute price index number for the year 1985 (Base 1984 = 100)
Items Unit 1984 1985 Weight Wheat
Milk
Egg
Sugar
ShoesKg.
Litre
Dozen
Kg.
Pair0.50
0.60
2.00
1.80
8.000.75
0.75
2.40
2.10
10.002
5
4
8
1
Then weighted average of price Relative Index is:
a) 125.43
b) 123.3
c) 124.53
d) 124.52

16. Sequence and Series, Arithmetic and Geometric Progression  Quiz
1. Sum of n terms of the series 4+44+444+……is
a) 4/9 {10/9(10^{n } 1) n}
b) 10/9 (10^{n} 1) n
c) 4/9 (10^{n }1 ) n
d) None of these
2. The sum of n terms of the series whose n^{th} terms n.2^{n} is given by
a) (n1)2^{n+1}+2
b) (n+1)2^{n+1}+2
c) (n/2)2^{n}+2
d) None