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. The student of two classes are in the ratio 5:7, if 10 students left from each class, the remaining students are in the ratio of 4:6 then the number of students in each class is:
a) 30, 40
b) 25, 24
c) 40, 60
d) 50, 70
2. If a^{3} + b^{3} = 0 then the value of log(a+b) $log(a+b)\frac{1}{2}(loga+logb+log3)$ is equal to
a) 0
b) 1
c) 1
d) 3

2. Equations  Quiz
1. The values of x in the equation 7(x+2p)^{2}+5p^{2}=35xp+117p^{2} are
a) (4p, 3p)
b) (4p, 3p)
c) (4p, 3p)
d) (4p, 3p)
2. Find the point which divides the line joining the points (2,2) and (4,1) in the ratio 5:2 externally
a) (5,8)
b) (8,3)
c) (5,4)
d) (8,5)

3. Inequalities  Quiz
1. The rules and regulations demand that the employer should employ not more than 5 experienced hands to 1 fresh one and this fact is represented by: (Taking experienced person as x and fresh person as y)
a) $y\geq \frac{x}{5}$
b) 5y ≤ x
c) 5y ≥ x
d) None .
2. The common region satisfied by the inequalities L1 : 3x + y ≥ 6, L2 : x + y ≥ 4, L3: x + 3y ≥ 6, and L4: x + y ≤ 6 is indicated by
a)
b)
c)
d) none of these

4. Simple and Compound Interest  Quiz
1. A person bought a house paying Rs. 20000 cash down and Rs. 4000 at the end of each year for 25 yrs. At 5% p.a. C.I. The cash down price is
a) Rs. 75000
b) Rs. 76000
c) Rs. 76392
d) None of these
2. The effective rate of interest corresponding to a nominal rate 3% p.a. payable half yearly is
a) 3.2% p.a.
b) 3.25% p.a.
c) 3.0225% p.a.
d) None of these

5. Permutations and Combinations  Quiz
1. The number of words that can be made by rearranging the letters of the word APURNA so that vowels and consonants appear alternate is
a) 18
b) 35
c) 36
d) None of these
2. If ^{18}C_{r}=^{18}C_{r+2}, the value of ^{r}C_{5} is
a) 55
b) 50
c) 56
d) None of these

6. Sets, Functions and Relations  Quiz
1. Out of 1000 student 658 failed in the aggregate, 166 in the aggregate and in groupI 434 in aggregate and in groupII, 372 in groupI, 590 in groupII and 126 in both the groups. Find out how many failed in all the three.
a) 106
b) 224
c) 206
d) 464
2. A = {2, 3, 5, 7}, B {4, 6, 8, 10} then A∩B can be written as
a) { }
b) {Φ}
c) (A∪B)`
d) None of these

7. Limits and Continuity  Quiz
1. If f(x) = $\frac{q\times(xp)}{(qp)} + \frac{p\times(xq)}{(pq)}$ then f(p) + f(p) is equal to
a) p+q
b) f(pq)
c) f(pq)
d) None of these
2. $\lim_{x\rightarrow \sqrt{2}}$ $\frac{x^{5/2}2^{5/4}}{\sqrt{x}2^{1/4}}$
a) 1/10
b) 10
c) 20
d) None of these

8. Differential and Integral Calculas  Quiz
1. $\int (x1)e^{x}/x^{2}dx$ is equal to
a) e^{x} / x + k
b) e^{x}/x + k
c) –e^{x}/x + k
d) None of these
2. Evaluate $\int x.c^{x}dx$
a) $e^{x}(x+1)+c$
b) $e^{x}(x1)+c$
c) e^{x}+ c
d) x  e^{x }+ c

9. Statistical Description of Data  Quiz
1. Histogram emphasizes the widths of rectangles between the class boundaries.
a) False
b) True
c) Both
d) None
2. A table has
a) Four
b) Two
c) Five
d) None parts

10. Measures of Central tendency and Dispersion  Quiz
1. The average salary of 50 men was Rs. 80 but it was found that salary of 2 of them were Rs. 46 and Rs. 28 which was wrongly taken as Rs. 64 ad Rs. 82. The revised average salary is:
a) 80
b) 78.56
c) 85.26
d) 82.92
2. Corresponding to upper quartile, the cumulative frequency is
a) 3N/4
b) N/4
c) 2N/4
d) None

11. Correlation and Regression  Quiz
1. Rank correlation coefficient lies between
a) 0 to 1
b) 1 to +1 Inclusive of these value
c) 1 to 0
d) None
2. The difference between the observed value and estimated value in regression analysis is known as
a) Error
b) Residue
c) Deviation
d) (a) or (b)

12. Probablilty  Quiz
1. A card is drawn from each of two wellshuffled packs of cards. The probability that at least one of them is an ace is
a) $\frac{1}{69}$
b) $\frac{25}{169}$
c) $\frac{2}{13}$
d) None
2. A bag contains 6 red balls and some blue balls. If the probability of drawing a blue ball form the bag is twice that of a red ball, find the number of blue balls in the bag
a) 10
b) 12
c) 14
d) 16

13. Theoretical Distributions  Quiz
1. Suppose that weather records show that on an average 5 out of 31 days in October are rainy days. Assuming a binomial distribution with each day of October as an independent trial, then the probability that the next October will have at most three rainy days is:
a) 0.4403
b) 0.2403
c) 0.3403
d) None
2. If x~N (3,36) and y~N(5,64) are two independent Normal variate with their standard parameters of distribution, then if (x+y)~N (8,A) also follows normal distribution. The value of A will be__________
a) 100
b) 10
c) 64
d) 36

14. Sampling Theory  Quiz
1. A sample survey is prone to
a) Sample errors
b) Nonsampling errors
c) Either (a) or (b)
d) Both (a) and (b)
2. Statistical decision about an unknown universe is taken on the basis of
a) Sample observation
b) A sampling frame
c) Sample survey
d) Complete enumeration

15. Index Numbers  Quiz
1. From the following data
Commodities Base Year 1922 Price Rs. Current Year 1934 Price A
B
C
D
E6
2
4
11
810
2
6
12
12
The price index number for the year 1934 is:
a) 140
b) 145
c) 147
d) None of these.
2. Laspeyre method and Paasche method do not satisfy
a) Unit Test
b) Time Reversal Test
c) Factor Reversal Test
d) None

16. Sequence and Series, Arithmetic and Geometric Progression  Quiz
1. Find the sum to n terms of the series:
7+77+777+…………….to n terms:
a) $\frac{7}{9}(10^{n+1}10)\frac{7n}{9}$
b) $\frac{7}{9}(10^{n+1}10)+\frac{7n}{9}$
c) $\frac{7}{81}(10^{n+1}10)\frac{7n}{9}$
d) $\frac{7}{81}(10^{n+1}10)+\frac{7n}{9}$
2. Sum of the series 1+ 3 + 9 + 27 + … is 364. The number of terms is
a) 5
b) 6
c) 11
d) None of these