Class/Course - CA - CPC

Subject - Quantitative Aptitude

Total Number of Question/s - 6262


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  • 1. Ratio and Proportion, Indices and Logarithm - Quiz

    1. log[1-{1-(1-x2)-1}-1]-1/2 can be written as 
    a) log x2
    b) log x
    c) log 1/x
    d) none of these

    2. If $a = \frac{1}{2}(5-\sqrt{21})$ then the value of a3 + a-3 - 5a2 - 5a-2 + a + a-1 is  
    a) 0
    b) 1
    c) 5
    d) -1

  • 2. Equations - Quiz

    1. The roots of the equation x3+7x2-21x-27=0 are 
    a) (-3, -9, -1)
    b) (3, -9, -1)
    c) (3, 9, 1)
    d) (-3, 9, 1)

    2. The value of is:
    a) 1±√2
    b) 2±√5
    c) 2±√3
    d) none

  • 3. Inequalities - Quiz

    1. A car manufacturing company manufactures cars of two types A and B. Model A requires 150 man-hours for assembling, 50 man-hours for painting and 10 man-hours for checking and testing. Model B requires 60 man-hours for assembling, 40 man-hours for painting and 20 man-hours for checking and testing. There are available 30 thousand man-hours for assembling, 13 thousand man-hours 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.

    2. Graphs of Inequations are drawn below:

    L1 : 5x + 3y = 30 L2 : x+y = 9 L3 y = x/3 L4: y = x/2
    The common region (shaded part) shown in the diagram refers to the inequalities:
    a) 5x+ 3y ≤ 30
    x+y ≤ 9
    y ≤ 9
    y ≤ 1/2 x
    y ≤ x/2
    b) 5x + 3y ≥ 30
    x+y ≤ 9
    y ≥ x/3
    y ≤ x/2
    x≥0, y ≥ 0.
    c) 5x+ 3yc 30
    x+y ≥ 9
    y ≤ x/3
    y ≥ x/2
    x≥ 0, y ≥ 0.
    d) 5x + 3y > 30
    x+y < 9
    y ≥ 9
    y ≤ x/2
    x≥ 0, y ≥ 0.

  • 4. Simple and Compound Interest - Quiz

    1. The difference between C.I and S.I on a certain sum of money invested for 3 years at 6% p.a. is Rs. 110.16. The sum is
    a) Rs. 3000
    b) Rs. 3700
    c) Rs. 1200
    d) Rs. 10000

    2. The difference between compound interest and simple interest on a certain sum for 2 years @ 10% p.a. is Rs. 10. Find the sum:
    a) Rs. 1,010
    b) Rs. 1,095
    c) Rs. 1,000
    d) Rs. 990

  • 5. Permutations and Combinations - Quiz

    1. The number of arrangements of the letters in the word FAILURE, so that vowels are always coming together is
    a) 576
    b) 575
    c) 570
    d) None of these

    2. Five bulbs of which three are defective are to be tried in two bulb points in a dark room. Number of trials the room shall be lighted is
    a) 6
    b) 8
    c) 5
    d) 7

  • 6. Sets, Functions and Relations - Quiz

    1. On a survey of 100 boys it was found that 50 used white that 50 used white shirt 40 red and 30 blue. 20 were habituated in using both white and red shirts 15 both red and blue shirts and 10 blue and white shirts. Find the number of boys using all the colours.
    a) 20
    b) 25
    c) 30
    d) None

    2. If A = {3, 4, 5, 6} B = {3, 7, 9, 5} and C = {6, 8, 10, 12, 7} then (B')' is (given that the universal set U = {3, 4, ...., 11, 12, 13}
    a) {3, 4, 5, 6}
    b) {3, 7, 9, 5}
    c) {8, 10, 11, 12, 13}
    d) None

  • 7. Limits and Continuity - Quiz

    1. $\lim_{x\rightarrow0} $ $\frac{4^{x+1}-4}{2x}$ :
    a) Does not exist
    b) Exists and is equal to 2
    c) Exists and is equal to 4 loge2
    d) None

    2. $\lim_{x\rightarrow \infty }$ $\left [ \frac{1}{6}+\frac{1}{6^{2}}+\frac{1}{6^{3}}+........+\frac{1}{6^{n}} \right ]$ is
    a) 1/5
    b) 1/6
    c) -1/5
    d) None of these

  • 8. Differential and Integral Calculas - Quiz

    1. Integrate w.r.t x, x2ex
    a) ex(x2-2x+2) + k
    b) ex(x2+2x+2)
    c) ex(x+2)2 + k
    d) None

    2. If x = ( 1 - t2) / (1 + t2) y = 2t / (1 + t2) then dy/dx at t = 1 is _____________.
    a) 1/2
    b) 1
    c) 0
    d) None of these

  • 9. Statistical Description of Data - Quiz

    1. An ogive can be prepared in ____________different ways.
    a) 2
    b) 3
    c) 4
    d) None

    2. In 2000, out of total of 1,750 workers of a factory, 1,200 were members of a trade union. The number of women employed was 200 of which 175 did not belong to a trade union. In 2004, there were 1,800 employees who belong to a trade union. Of all the employees in 2004, 300 were women of whom only 8 did not belong to the trade union. On the basis of this information, the ratio of female members of the trade union in 2000 and 2004 is:
    a) 292:25
    b) 8:175
    c) 175:8
    d) 25:292

  • 10. Measures of Central tendency and Dispersion - Quiz

    1. Frequencies are also called weights.
    a) True
    b) False
    c) Both
    d) None

    2. ___________ is used when most frequently occurring value is required (discrete variables).
    a) Mode
    b) Mean
    c) Median
    d) None

  • 11. Correlation and Regression - Quiz

    1. The angle between the regression lines depends on
    a) Correlation coefficient
    b) Regression coefficient
    c) Both
    d) None

    2. For finding the degree of agreement about beauty between two judges in a Beauty Contest, we use
    a) Scatter diagram
    b) Coefficient of rank correlation
    c) Coefficient of correlation
    d) Coefficient of concurrent deviation.

  • 12. Probablilty - Quiz

    1. The probability of winning of a person is 6/11 and at a result he gets Rs.77/-. The expectation of this person is 
    a) Rs.35/-
    b) Rs.42/-
    c) Rs.58/-
    d) None

    2. In formula P(B/A), P(A) is
    a) Greater than zero
    b) Less then zero
    c) Equal to zero
    d) Greater than equal to zero

  • 13. Theoretical Distributions - Quiz

    1. If in Binomial distribution np = 9 and npq = 2.25 then q is equal to 
    a) 0.25
    b) 0.75
    c) 1
    d) None

    2. Assuming that one-third of the population is tea drinkers and each of 1000 enumerators takes a sample of 8 individuals to find out whether they are tea drinkers or not, how many enumerators are expected to report that five or more people are tea drinkers?
    a) 100
    b) 95
    c) 88
    d) 90

  • 14. Sampling Theory - Quiz

    1. Which would you prefer for ___________. The universe is large .
    a) Full enumeration
    b) Sampling
    c) Both
    d) None

    2. The sample standard deviation is
    a) A biased estimator
    b) An unbiased estimator
    c) A biased estimator for population SD
    d) A biased estimator for population variance.

  • 15. Index Numbers - Quiz

    1.  If the price of all commodities in a place have increased 125 times in comparison to the base period prices, then the index number of prices for the place is now
    a) 100
    b) 125
    c) 225
    d) None of the above.

    2. From the following data:
     
    Group:  A B C D E F
    Group Index:  120  132  98  115  108  95 
    Weight: 6 3 4 2 1 4
    The general index is given by:

    a) 113.54
    b) 115.30
    c) 117.92
    d) 111.30

  • 16. Sequence and Series, Arithmetic and Geometric Progression - Quiz

    1. The mth term of an A.P is n and nth term is m. The r th term of it is
    a) m + n + r
    b) n + m - 2n
    c) m + n + r/2
    d) m + n - r

    2. If a, b, c are in A.P. then the value of (a3+4b3+c3)/[b(a2+c2)] is
    a) 1
    b) 2
    c) 3
    d) None