## 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 ages of two persons are in the ratio 5:7. Eighteen years ago their ages were in the ratio of 8:13, their present ages (in years) are:
a) 50, 70
b) 70, 50
c) 40, 56
d) none

2. Find the value of:
[1-{1-(1-x2)-1}-1/2]
a) 1/x
b) x
c) -1
d) None of these

• 2. Equations - Quiz

1. Solving $\sqrt{\frac{x}{y}} +\sqrt{\frac{y}{x}} - \frac{5}{2}$ = 0and x+y-5=0 we get the roots as under
a) 1, 4
b) 1, 2
c) 1, 3
d) 1, 5

2. Solve for x and y: $\frac{4}{x}-\frac{5}{y} = \frac{x+y}{xy}+\frac{3}{10} and 3xy = 10 (y-x).$
a) (5, 2)
b) (-2, -5)
c) (2, -5)
d) (2, 5)

• 3. Inequalities - Quiz

1. A dietitian wishes to mix together two kinds of food so that the vitamin content of the mixture is at least 9 units of vitamin A, 7 units of vitamin B, 10 units of vitamin C and 12 units of vitamin D. The vitamin content per Kg. of each food is shown below.
Food I : A = 2 , B = 1, C = 1, D = 2
Foof II : A = 1,  B = 1, C = 2 ,D = 3
Assuming x units of food I is to be mixed with y units of food II the situation can be expressed as
a) 2x + y ≤ 9
x + y ≤ 7
x + 2y ≤ 10
2x+ 3 y 12
x > 0, y > 0
b) 2x + y ≥ 30
x + y ≤ 7
x + 2y ≥ 10
x + 3y ≥ 12
c) 2x + y ≥ 9
x + y ≥ 7
x + y ≤ 10
x + 3y ≥ 12
d) 2x + y ≥ 9
x + y ≥ 7
x + 2 y ≥ 10
2x + 3 y ≥ 12
x ≥ 0 , y ≥ 0,

2. The rules and regulations demand that the employer should employ not more than 5 experienced hands to 1 fresh one and this fact be expressed as
a) y ≥ x/5
b) 5y ≤ x
c) 5 y ≥ x
d) none of these

• 4. Simple and Compound Interest - Quiz

1. What principle will amount to Rs.370 in 6 years at 8% p.a. at simple interest?
a) Rs.210
b) Rs.250
c) Rs.310
d) Rs.350

2. If P = Rs.4500, A=Rs. 7200, than Simple interest i.e. I will be
a) Rs.2000
b) Rs.3000
c) Rs.2500
d) Rs.2700

• 5. Permutations and Combinations - Quiz

1. If 12 school teams are participating in a quiz contest, then the number of ways the first, second and third positions may be won is
a) 1230
b) 1320
c) 3210
d) None of these

2. A boat’s crew consist of 8 men, 3 of whom can row only on one side and 2 only on the other. The number of ways in which the crew can be arranged is _______.
a) 3C1 x (4!)2
b) 3C1 x 4
c) 3C1
d) None

• 6. Sets, Functions and Relations - Quiz

1. If A has 32 elements B has 42 elements and A∪B has 62 elements find the number of elements in A∩B
a) 74
b) 62
c) 12
d) None

2. The set {2x|x is any positive rational number} is
a) An infinite set
b) A null set
c) A finite set
d) None

• 7. Limits and Continuity - Quiz

1. If f(x) = 3, when x < 2
f(x) = kx2, when x ≥ 2 is continuous at x = 2, then the value of k is
a) ¾
b) 4/3
c) 1/3
d) None of these

2. $\frac{Lim}{x\rightarrow 3}$  $\frac{x^{n}-3^{n}}{x-3} = 108$. Find n
a) 4
b) -4
c) 1
d) None

• 8. Differential and Integral Calculas - Quiz

1. If y = ae2x+ bxe2x where a and b are constants the value of the expression d2y/dx2-4dy/dx +4y is _______.
a) 0
b) 1
c) -1
d) None

2. Given f(x) = 4x+ 3x- 2x + 5 and$\int f(x)dx$ is
a) x+ x- x+ 5x
b) x+ x- x+ 5x + k
c) 12x+ 6x - 2x2
d) None of these

• 9. Statistical Description of Data - Quiz

1. An area diagram is :
a) Histogram
b) Ogive
c) Frequency Polygon
d) None

2. For determining the class frequencies it is necessary that these classes are
a) Mutually exclusive
b) Not mutually exclusive
c) Independent
d) None

• 10. Measures of Central tendency and Dispersion - Quiz

1. In _________the quantities are in ratios.
a) A.M
b) G.M
c) H.M
d) None

2. The middle most value of a set of observations is
a) Median
b) Mode
c) Mean
d) None

• 11. Correlation and Regression - Quiz

1. In case ‘Sale of woolen garments and day temperature’ _________ correlation is
a) Positive
b) Negative
c) Zero
d) None

2. The following data is given, based on 450 students for marks in Statistics and Economics at a certain examination:
Mean marks in Statistics = 40
Mean marks in Economics = 48
S.D. of marks (Statistics) = 12
Variance of marks (Economics) = 256
Sum of the products of deviations of marks from their respective mean = 42075
The average marks in Economics of candidates who obtained 50 marks in Statistics is:
a) 45
b) 54.5
c) 54
d) 47.5

• 12. Probablilty - Quiz

1. If P(A)=P and P(B)=q. then:
a) P (A/B) ≤ q / p
b) P (A/B) ≥ p / q
c) P (A/B) ≤ p / q
d) P (A/B) ≥ q / p

2. There six slips in a box and numbers 1, 1, 2, 2, 3, 3, are written on these slips. Two slips are taken at random from the box. The expected values of the sum of numbers on the two slips is:
a) 5
b) 3
c) 4
d) 7

• 13. Theoretical Distributions - Quiz

1. If x and y are two independent standard normal variables, then the distribution of $\frac{x}{y}$ is:
a) Normal Distribution
b) Exponential Distribution
c) Couchy’s Distribution
d) Binominal Distribution

2. In Poisson Distribution, probability of success is very close to
a) 1
b) -1
c) 0
d) None

• 14. Sampling Theory - Quiz

1. In na factory there are 48 employees with employee code from 1 to 48 the employer desires to take the sample of every sixth employeee under thge systematic sampling techique, the sample size will be
a) 6
b) 8
c) 10
d) 7

2. A die was thrown 400 times and 'six' resulted 80 times then observed value of proportion is
a) 0.4
b) 0. 2
c) 5
d) None

• 15. Index Numbers - Quiz

1. The prices of a commodity in the years 1975 and 1980 were 25 and 30 respectively, taking 1975 as base year the price relative is:
a) 120
b) 135
c) 122
d) None of these.

2. In Laspeyeres Index Number _______are used as weights?
a) Base year price
b) Current year price
c) Base year quantities
d) Current year quantities

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

1. The sum of the series $\frac{1}{\sqrt{3}}+1+\frac{3}{\sqrt{3}}+.....$to 18 terms is
a) $9841\frac{(1+\sqrt{3})}{\sqrt{3}}$
b) 9841
c) $\frac{9841}{\sqrt{3}}$
d) None of these

2. The 7th term of the series 6, 12, 24, …………is
a) 384
b) 834
c) 438
d) None of these