Quantitative Aptitude CA Fundation Online Test:
The values of x for the equation x2 + 9x + 18 = 6 – 4x are
(a) (1, 12)
(b) (–1, –12)
(c) (1,–12)
(d) (–1,12)
Mutually exclusive classification is usually meant for
(a) A discrete variable
(b) A continuous variable
(c) An attribute
(d) Any of these
______ distribution is symmetrical when p = 0.5.
(a) Chi- square
(b) Population
(c) Poisson
(d) Binomial
What is spurious correlation?
(a) It is a bad relation between two variables
(b) It is very low correlation between two variables
(c) It is the correlation between two variables having no causal relation
(d) It is a negative correlation
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In a test a candidate secured 336 marks out of maximum marks ‘x’. If the maximum marks ‘x’ had been converted into 400 marks, he would have secured 192 marks. What was the maximum marks of the test ?
(a) 700
(b) 750
(c) 500
(d) 650
Regression analysis is concerned with
(a) Establishing a mathematical relationship between two variables.
(b) Measuring the extent of association between two variables.
(c) Predicting the value of the dependent variable for a given value of the independent variable.
(d) Both (a) and (c)
The test of shifting the base is called
(a) Unit Test
(b) Time Reversal Test
(c) Circular Test
If an investment of 1000 and 100 yield an income of 90 and 20 respectively, for earning 50 investment of ______will be required.
(a) Less than 500
(b) Over 500
(c) 485
(d) 486
A number between 10 and 100 is five times the sum of its digits. If 9 be added to it the digits are reversed, find the number.
(a) 54
(b) 53
(c) 45
(d) 55
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Scatter diagram helps us to
(a) Find the nature correlation between two variables.
(b) Compute the extent of correlation between two variables.
(c) Obtain the mathematical relationship between two variables.
The quartile deviation of a normal distribution with mean 10 and SD 4 is
(a) 0.675
(b) 67.50
(c) 2.70
(d) 3.20
A number when divided by three consecutive numbers 9, 11, 13 leaves the remainders 8, 9 and 8 respectively. If the order of divisors is reversed, the remainders will be—
(a) 8, 9, 8
(b) 9, 8, 8
(c) 10, 1, 6
(d) 10, 8, 9
The ways of selecting 4 letters from the word EXAMINATION is
(a) 136
(b) 130
(c) 125
What would be the compound interest accrued on an amount of 8000/- at the rate of 15 p.c.p.a. in three years ?
(a) 4283/-
(b) 4051/-
(c) 4167/-
(d) 4325/-
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The 7th term of the series 6, 12, 24……is_______.
(a) 384
(b) 834
(c) 438
(d) 854
The line x = a + by represents the regression equation of
(a) y on x
(b) x on y
The logarithm of a number consists of two parts, the whole part or the integral part is called the ______ and the decimal part is called the _______.
(a) Characteristic, Number
(b) Characteristic, Mantissa
(c) Mantissa, Characteristic
(d) Number, Mantissa
The radius of a right circular cone is 3 cm and its height is 4 cm. The curved surface of the cone will be
(a) 12 sq. cm
(b) 15 sq. cm
(c) 18 sq. cm
(d) 21 sq. cm
A person bought a house paying 20000 cash down and 4000 at the end of each year for 25 yrs. At 5% p.a. C.I. The cash down price is
(a) 75000
(b) 76000
(c) 76392
(d) 75392
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When the data are classified in respect of successive time points, they are known as_______.
(a) Chronological data
(b) Geographical data
(c) Ordinal data
(d) Cordinal data
The entire upper part of a table is known as
(a) Caption
(b) Stub
(c) Box head
(d) Body
The sum of a series in A.P. is 72 the first term being 17 and the common difference –2. The number of terms is
(a) 6
(b) 12
(c) 6 or 12
(d) 10
If 10% of a number is subtracted from it, the result is 1800. The number is
(a) 1900
(b) 2000
(c) 2100
(d) 2140
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
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In case ‘The ages of husbands and wives’ correlation is ______.
(a) Positive
(b) Negative
(c) Zero
(d) One
Ogive is a
(a) Line diagram
(b) Bar diagram
The index number of prices at a place in 1998 is 355 with 1991 as base. This means
(a) There has been on the average a 255% increase in prices
(b) There has been on the average a 355% increase in price
(c) There has been on the average a 250% increase in price
The sum of first n natural number
(a) (n/2) (n + 1)
(b) (n/6) (n + 1) (2n + 1)
(c) [(n/ 2) (n + 1)]2
If there are 3 observations 15, 20, 25 then the sum of deviation of the observations from their AM is
(a) 0
(b) 5
(c) –5
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If the overall percentage of success in an exam is 60, what is the probability that out of a group of 4 students, at least one has passed?
(a) 0.6525
(b) 0.9744
(c) 0.8704
(d) 0.0256
The number is just preceding 9909 which is a perfect square is
(a) 9908
(b) 9900
(c) 9899
(d) 9801
The mean salary for a group of 40 female workers is 5200 per month and that for a group of 60 male workers is 6800 per month. What is the combined mean salary?
(a) 6500
(b) 6200
(c) 6160
(d) 6100
What is the present value of $1 to be received after two years compounded annually at 10%?
(a) 0.73
(b) 0.83
(c) 0.93
When ‘p’ = 0.5, the binomial distribution is
(a) Asymmetrical
(b) Symmetrical
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An experiment is known to be random if the results of the experiment
(a) Cannot be predicted
(b) Can be predicted
(c) Can be split into further experiments
(d) Can be selected at random
If P(AÇB) = 0, then the two events A and B are ______
(a) Mutually exclusive
(b) Exhaustive
(c) Equally likely
(d) Independent
Every person shakes hands with each other in a party and the total number of handshakes is 66. The number of guests in the party is
(a) 11
(b) 12
(c) 13
(d) 14
If S. D. = 20 and sample size is 100 then standard error of mean is
(a) 2
(b) 5
(c) 1/5
The total area of the normal curve is
(a) One
(b) 50 percent
(c) 0.50
(d) Any value between 0 and 1
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Given A = {2, 3}, B = {4, 5}, C = {5, 6} then A × (BC) is
(a) {(2, 5), (3, 5)}
(b) {(5, 2), (5, 3)}
(c) {(2, 3), (5, 5)}
Find the root value of 36.1 / 102.4
(a) 61 / 34
(b) 19 / 31
(c) 19 / 32
(d) 19 / 33
Standard error can be described as
(a) The error committed in sampling
(b) The error committed in sample survey
(c) The error committed in estimating a parameter
(d) Standard deviation of a statistic
The present value of an annuity of 3000 for 15 years at 4.5% p.a CI is
(a) 23809.41
(b) 32809.41
(c) 32908.41
If the set P has 3 elements, Q four and R two then the set P×Q×R contains
(a) 9 elements
(b) 20 elements
(c) 24 elements
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In ______ distribution, mean = variance.
(a) Normal
(b) Binomial
(c) Poisson
Which of the following statements is true?
(a) Usually mean is the best measure of central tendency.
(b) Usually median is the best measure of central tendency.
(c) Usually mode is the best measure of central tendency.
(d) Normally, GM is the best measure of central tendency.
Five times of a positive whole number is 3 less than twice the square of the number. The number is
(a) 3
(b) 4
(c) –3
(d) 2
For any two numbers SD is always
(a) Twice the range
(b) Half of the range
(c) Square of the range
The best method to collect data in case of natural calamity is
(a) Personal interview
(b) Telephone interview
(c) Mailed questionnaire method
(d) Indirect interview
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If the AM and GM for two numbers are 6.50 and 6 respectively then the two numbers are
(a) 6 and 7
(b) 9 and 4
(c) 10 and 3
(d) 8 and 5
Bivariate Data are the data collected for
(a) Two variables
(b) More than two variables
(c) Two variables at the same point of time
(d) Two variables at different points of time
A function f(x) is defined by f(x) = (x–2)+1 over all real values of x. now f(x) is
(a) Continuous at x = 2
(b) Discontinuous at x = 2
(c) Undefined at x = 2
If all the observations are increased by 10, then
(a) SD would be increased by 10
(b) Mean deviation would be increased by 10
(c) Quartile deviation would be increased by 10
(d) All these three remain unchanged
______ is an absolute measure of dispersion.
(a) Range
(b) Mean Deviation
(c) Standard Deviation
(d) All these measures
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The sum of natural numbers upto 200 excluding those divisible by 5 is
(a) 20100
(b) 4100
(c) 16000
A______ distribution is a theoretical distribution that expresses the functional relation between each of the distinct values of the sample statistic and the corresponding probability.
(a) Normal
(b) Binomial
(c) Poisson
(d) Sampling
The sum of all natural numbers between 200 and 400 which are divisible by 7 is ______.
(a) 7730
(b) 8729
(c) 8729
(d) 8730
The sum of square of first n natural number is __________.
(a) (n/ 2) (n +1)
(b) (n/ 6) (n +1) (2n +1)
(c) [(n/ 2) (n +1)]2
A builder decided to build a school’s building in 45 days. He employed 150 men in the beginning and 120 more after 30 days and completed the construction in stipulated time. If he had not employed the additional men, how many days behind schedule would it have been finished?
(a) 12 days
(b) 10 days
(c) 15 days
(d) 8 days
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A bag contains 15 one rupee coins, 25 two rupee coins and 10 five rupee coins. If a coin is selected at random from the bag, then the probability of not selecting a one rupee coin is
(a) 0.30
(b) 0.70
(c) 0.25
(d) 0.20
Usually _________ is the best measure of central tendency.
(a) Median
(b) Mode
(c) Mean
(d) G.M.
A population comprises 5 members. The number of all possible samples of size 2 that can be drawn from it with replacement is
(a) 100
(b) 15
(c) 125
(d) 25
Donald can do a work in 25 days and Biden can do the same work in 20 days. They work together for 5 days and then Donald goes away. In how many days will Biden finish the work?
(a) 11 days
(b) 13 days
(c) 17 days
(d) 20 days
If for two variable x and y, the covariance, variance of x and variance of y are 40, 16 and 256 respectively, what is the value of the correlation coefficient?
(a) 0.01
(b) 0.625
(c) 0.4
(d) 0.5
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If b2 – 4ac = 0 the roots are ______ and ______.
(a) Real, Unequal
(b) Real, Equal
(c) Irrational, Unequal
(d) Rational, Unequal
In how many ways can 8 persons be seated at a round table? In how many cases will 2 particular persons sit together?
(a) 5040
(b) 4050
(c) 450
(d) 540
The method usually applied for fitting a binomial distribution is known as______.
(a) Method of least square
(b) Method of moments
(c) Method of probability distribution
(d) Method of deviations
The sum of the digits of a two digit number is 10. If 18 be subtracted from it the digits in the resulting number will be equal. The number is
(a) 37
(b) 73
(c) 64
________ are used for measuring central tendency, dispersion & skewness
(a) Median
(b) Deciles
(c) Percentiles
(d) Quartiles
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If a card is drawn at random from a pack of 52 cards, what is the chance of getting a Spade or an ace?
(a) 4/13
(b) 5/13
(c) 0.25
(d) 0.20
Which measure of dispersion is based on all the observations?
(a) Mean deviation
(b) Standard deviation
(c) Quartile deviation
(d) (a) and (b) but not (c)
