## 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. Using (a-b)3 = a3-b3-3ab(a-b) tick the correct of these when x = p1/3 - p-1/3
a) x3 + 3x= p + 1/p
b) x3 + 3x = p-1/p
c) x3 + 3x = p+1
d) none of these

2. The duplicate ratio of 3:4 is
a) √3:2
b) 4 : 3
c) 9 : 16
d) none of these

• 2. Equations - Quiz

1. The line joining (-1,1) and (2, -2) and the line joining (1, 2) and (2, k) are perpendicular to each other of the following value of k
a) 0
b) 1
c) -1
d) 3

2. If a number of which the half is greater than  $\frac{1}{5}th$ of the number by 15 then the number is
a) 50
b) 40
c) 90
d) none of these

• 3. Inequalities - Quiz

1.
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
a) 5x + 3y ≤ 30
x + y ≤ 9
y ≤ 1/5 x
y ≤ x/2
b) 5x+ 3y ≥ 30
x + y ≤ 9
y ≥ x/3
y ≤ x/2
x ≥ 0, y ≥ 0
c) 5x + 3y ≥ 30
x + y ≥ 9
y≤ x/3
y ≥ x/2
x ≥ 0, y ≥ 0
d) None of these

2. The inequality -x1 + 2x2 ≤ 0 is indicated on the graph as
a)
b)
c)
d) none of these

• 4. Simple and Compound Interest - Quiz

1. Mr. Paul borrows Rs. 20000 on condition to repay with C.I at 5% p.a. in annual installments of Rs. 2000 each. The number of years for the debt to be paid off is
a) 10 yrs.
b) 12 yrs.
c) 11yrs.
d) None of these

2. P=500, R=15, T=4½ using I= PRT/100, I will be
a) Rs. 3375
b) Rs. 3300
c) Rs. 3735
d) None of these

• 5. Permutations and Combinations - Quiz

1. If 50 different jewels can be set to form a necklace then the number of ways is
a)
b)
c)
d) None of these

2. Out of 6 members belonging to party ‘A’ and 4 to party ‘B’ in how many ways a committee of 5 can be selected so that members of party ‘A’ are in a majority?
a) 180
b) 186
c) 185
d) 184

• 6. Sets, Functions and Relations - Quiz

1. (AUB)’ is equal to
a) (A∩B)’
b) A’U B’
c) A’∩B’
d) None of these

2. If ƒ(x) = (a-x)1/n, a > 0 and 'n' is a positive integer, then ƒ(ƒ(x)) = ________________.
a) x
b) a
c) x1/n
d) a1/n

• 7. Limits and Continuity - Quiz

1. Given the function f(x)=x2-5, f(√5) is equal to
a) 0
b) 5
c) 10
d) None of these

2. $\lim_{x\rightarrow 1 }$ $\frac{x^{2}-1}{\sqrt{3x+1}-\sqrt{5x-1}}$ is evaluated to be
a) 4
b) 1/4
c) -4
d) None of these

• 8. Differential and Integral Calculas - Quiz

1. Evaluate $\int_{1}^{e^{2}}\frac{dx}{x(1+logx)^{2}}$  and the value is
a) 3/2
b) 1/3
c) 26/3
d) 1/2 (loge5)

2.  $\int_{0}^{a}$  [ f(x) + f(-x)] dx is equal to
a)  $\int_{0}^{a}2$  f (x) dx
b)  $\int_{-a}^{a}$  f(x) dx
c) 0
d)  $\int_{-a}^{a}$  -f (-x) dx

• 9. Statistical Description of Data - Quiz

1. The chart that uses logarithm of the variable is known as
a) Line chart
b) Ratio chart
c) Multiple line chart
d) Component line chart.

2. Most extreme values which would ever be included in a class interval are called:
a) Class interval
b) Class Limits
c) Class Boundaries
d) None of these

• 10. Measures of Central tendency and Dispersion - Quiz

1. To define quartile deviation we use
a) Lower & middle quartiles
b) Lower & upper quartiles
c) Upper & middle quartiles
d) None

2. The formula for range of middle 50% items of a series is:
a) Q3 - Q1
b) Q3 - Q2
c) Q2 - Q1
d) $\frac{Q_{3}-Q_{1}}{2}$

• 11. Correlation and Regression - Quiz

1. If the plotted points in a scatter diagram lie from upper left to lower right, then the correlation is
a) Positive
b) Zero
c) Negative
d) None of these

2. If the sum of squares of difference of ranks, given by two judges A and B, of 8 student in 21, what is the value of rank correlation coefficient?
a) 0.7
b) 0.65
c) 0.75
d) 0.8

• 12. Probablilty - Quiz

1. If on an average 9 shops out of 10 return safely to a port. The probability of one ship returns safely is
a) 1/10
b) 8/10
c) 9/10
d) None

2. The following table gives distribution of wages of 100 workers –

 Wages (in Rs.) 120-140 140-160 160-180 180-200 200-220 220-240 240-260 No. of workers 9 20 0 10 8 35 18
The probability that his wages are under Rs. 140 is

a) 20/100
b) 9/100
c) 29/100
d) None

• 13. Theoretical Distributions - Quiz

1. Mean and Variance of a binomial variance are 4 and $\frac{4}{3}$ respectively then P(x≥1) will be________.
a) $\frac{728}{729}$
b) $\frac{1}{729}$
c) $\frac{723}{729}$
d) None of the above.

2. When 'p' is larger than 0.5, the binomial distribution is
a) Asymmetrical
b) Symmetrical
c) Both
d) None

• 14. Sampling Theory - Quiz

1. Single, double, multiple and sequential are several types of
a) Discovery sampling method
b) Acceptance sampling method
c) Both
d) None

2. The criteria for an ideal estimator are:
a) Unbiasedness, expectation, estimation and sampling
b) Estimation, efficiency, expectation and sufficiency
c) Consistency, efficiency, sufficiency and unbiasedness
d) Estimation, consistency, efficiency and sufficiency.

• 15. Index Numbers - Quiz

1. Monthly salary of an employee was Rs. 10,000 in the year 2,000 and it was increased to Rs. 20,000 in year 2013 while the consumerb price index No, is 240 in year 2013 with the base year 2000. What should be his salary  in comparison of consumer price index in the year 2013?
a) Rs. 20,000
b) Rs. 16,000
c) Rs. 24,000
d) None of the above

2. Each of the following statements is either True or False with your Choice of the answer by writing F for False.
a) Current year quantities are taken as weights in Paasche's price index number.
b) Edge worth Marshall's index number formula staisfies Time, Reversal Test.
c) The Arithmetic mean of Laspeyre's and Paasche's index numbers is called Bowley's index numbers.
d) None of these.

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

1. Find the sum to n terms of (1-1/n) + (1-2/n) +(1-3n)+………
a)
b)
c) (n-1)
d) (n+1)

2. If a, b-a, c-a are in G.P. and a=b/3=c/5 then a, b, c are in
a) A.P.
b) G.P.
c) H.P.
d) None