## 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. If log2 [log3 (log2 x)] = 1, then x equals:
a) 128
b) 256
c) 512
d) none

2. The value of (logyx . logzy . logx z)3 is
a) 0
b) -1
c) 1
d) 3

• 2. Equations - Quiz

1. Solving x2+y2-25=0 and x-y-1=0 we get the roots as under
a)
b)
c) 0, 3, 4
d) 0, -3, -4

2. The area of triangle with vertices (1, 3) (5, 6) and (-3, 4) in terms of square units is
a) 5
b) 3
c) 8
d) 13

• 3. Inequalities - Quiz

a) x+ y ≤ 5, x≥ 2, y≤1
b) x + y ≤ 5, x ≥ 2, y ≥ 1
c) x + y ≥ 5, x ≥ 2, y ≥ 1
d) None of these

2. The union however forbids forbide him to employ less than 2 experiencedd person to each fresh person. This situation can be expressed as
a) x ≤ y/2
b) y ≤ x/2
c) y ≥ x/2
d) x > 2y

• 4. Simple and Compound Interest - Quiz

1. The sum required to earn a monthly interest of Rs.1200 at  18% per annum SI is
a) Rs. 50000
b) Rs. 60000
c) Rs. 80000
d) None of these

2. If a simple interest on a sum of money at 6% p.a.for 7 years is equal to twice of simple interest on another sum for 9 years at 5% p.a.. The ratio will be:
a) 2 : 15
b) 7 : 15
c) 15 : 7
d) 1 : 7

• 5. Permutations and Combinations - Quiz

1. Find the number of combination of the letters of the word COLLEGE taken four together:
a) 18
b) 16
c) 20
d) 26

2. The number of ways in which 7 girls form a ring is
a) 700
b) 710
c) 720
d) None of these

• 6. Sets, Functions and Relations - Quiz

1. If f(x-1) = x2-4x+ 8, then f(x+1) = _________
a) x+ 8
b) x+ 7
c) x+ 4
d) x- 4x

2. Consider the following data:-
 Skilled & Direct Worker Unskilled & Direct Worker Skilled & Indirect Worker Unskilled &Indirect Worker Short Term 6 8 10 20 Medium Term 7 10 16 9 Long Term 3 2 8 0

If S M L T I denote short medium long terms skilled and indirect workers respectively and find the number of workers in set (M∪L) ∩ (T∪I).
a) 42
b) 8
c) 10
d) 43

• 7. Limits and Continuity - Quiz

1. $\lim_{x\rightarrow 0}$  $\frac{(e^{x}+e^{-x}-2)(x^{2}-3x+2)}{(x-1)}$ is equal to
a) 1
b) 0
c) -1
d) None of these

2. The value of the limit when x tends to zero of the expression (1+n)1/n is
a) e
b) 0
c) 1
d) -1

• 8. Differential and Integral Calculas - Quiz

1. The slope of the tangent to the curve $y = \sqrt{4-x^{2}}$at the point, where the ordinate and the abscissa are equal, is :
a) -1
b) 1
c) 0
d) None

2. If f(x) = $\frac{4-2x}{2+3x+3x^{2}}$  then the values of x for which f’(x) = 0 is
a) $2(1\pm \sqrt{\frac{5}{3}})$
b) $(1\pm \sqrt{3})$
c) 2
d) None of these

• 9. Statistical Description of Data - Quiz

1. In tabulation, source of data, if any, is shown in the :
a) Stub
b) Body
c) Caption
d) Footnote

2. The mode of presentation of data are
a) Textual, tabulation and diagrammatic
b) Tabular, internal and external
c) Textual, tabular and internal
d) Tabular, textual and external.

• 10. Measures of Central tendency and Dispersion - Quiz

1. 50% of actual values will be below & 50% of will be above _________
a) Mode
b) Median
c) Mean
d) None

2. For grouped frequency distribution __________ is equal to the value corresponding to cumulative frequency kN/10
a) Median
b) kth percentile
c) kth decile
d) None

• 11. Correlation and Regression - Quiz

1. If two lines of regression are x+2y-5=0 and 2x+3y-8=0.
The regression line of y on x is
a) x+2y-5=0
b) 2x+3y-8=0
c) Any of the two lines
d) None of the two lines.

2. What is the value of correlation coefficient due to Pearson on the basis of the following data:

 X: -5 -4 -3 -2 -1 0 1 2 3 4 5 Y: 27 18 11 6 3 2 3 6 11 18 27

a) 1
b) -1
c) 0
d) -0.5

• 12. Probablilty - Quiz

1. An urn contains 6 white and 4 black balls. 3 balls are drawn without replacement. What is the expected number of black balls that will be obtained?
a) 6/5
b) 1/5
c) 7/5
d) 4/5

2. In a packet of 500 pens, 50 are found to be defective. A pen is selected at random. Find the probability that it is non defective.
a) 8/9
b) 7/8
c) 9/10
d) 2/3

• 13. Theoretical Distributions - Quiz

1. The overall percentage of failure in a certain examination is 0.30. What is the probability that out of a group of 6 candidates at least 4 passed the examination?
a) 0.74
b) 0.71
c) 0.59
d) 0.67

2. If the points of inflexion of a normal curve are 40 and 60 respectively, then its mean deviation is
a) 40
b) 45
c) 50
d) 60

• 14. Sampling Theory - Quiz

1. The sample is a selected part of the
a) Estimation
b) Population
c) Both
d) None

2. Sampling error increase with an increase in the size of the sample
a) True
b) False
c) Both
d) None

• 15. Index Numbers - Quiz

1. The price level of a country in a certain year has increased 25% over the base period. The index number is
a) 25
b) 125
c) 225
d) 2500

2. From the following data
 Group Weight Index Number   Base: 1952-53 = 100 Food  Clothing   Fuel and light   Rent   Miscellaneous 50          2          3         16         29 241                21               204               256              179

The cost of living index numbers is:
a) 224.4
b) 223.91
c) 225.32
d) None of these

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

1. Which term of the progression -1, -3, -5, …………is -39
a) 21st
b) 20th
c) 19th
d) None of these

2. If a, b, c are the pth, qth and rth terms of a G.P. respectively the value of aq-r. br-p. cp-q is ___________.
a) 0
b) 1
c) -1
d) None