CAT sample papers

Quantitative Aptitude for MBA Entrance Exams

MBA Entrance Exam Mathematics

MBA-Quantitative Aptitude Test Online

Question 1
If one regression coefficient be unity, then the other will be
A
Less than or equal to unity
B
Greater than or equal to unity
C
Greater than unity
D
None of these
Question 2
The equation of the straight line which passes through the point (1, –2) and cuts off equal intercepts from axes, is
A
x – y = 1
B
x + y = 1
C
x + y + 1 = 0
D
x – y – 2 = 0
Question 3
How many words can be formed from the letters of the word COURTESY, whose first letter is C and the last letter is Y?
A
6!
B
2(7)!
C
8!
D
2(6)!
Question 4
A student appears for test I, II and III. The student is successful if he passes either in tests I and II or test I and III. The probabilities of the student passing in tests I, II, III are p, q and 1/2 respectively. If the probability that the student is successful is 1/2, then
A
All of the these
B
There are infinitely many values of p and q
C
p = 1, q = 0
D
p = 2/3, q = ½
Question 5
If an amount of Rs. 793520 is equally distributed amongst 28 persons, how much amount would each person get?
A
3320
B
3340
C
3310
D
3330
Question 6
The quartile deviation for the following data is
x : 2 3 4 5 6
f : 3 4 8 4 1
A
½
B
1
C
0
D
¼
Question 7
In how many ways can a committee consisting of one or more members be formed out of 12 members of the Municipal Corporation
A
5095
B
4905
C
4095
D
4090
Question 8
If from each of the three boxes containing 3 white and 1 black, 2 white and 2 black, 1 white and 3 black balls, one ball is drawn at random, then the probability that 2 white and 1 black ball will be drawn is
A
13/32
B
1/32
C
3/16
D
¼
Question 9
A person borrowed Rs. 500 at the rate of 5% per annum at S.I what amount will he pay to clear the debt after 4 year?
A
Rs 400
B
Rs 500
C
Rs 600
D
Rs 450
Question 10
There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate?
A
Rs. 3972
B
Rs. 3120
C
Rs. 6240
D
Rs. 2160
Question 11
One hundred identical coins each with probability p of showing up heads are tossed once. If 0 < p < 1 and the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, then the value of p is
A
1/2
B
49/101
C
51/101
D
50/101
Question 12
In a seminar the number of participants in Hindi, English and Mathematics are 60, 84 and 108 respectively. Find the minimum number of rooms required, where in each room the same number of participants are to be seated; and all of them being in the same subject.
A
25
B
20
C
21
D
22
Question 13
If the difference between a number and its three fifths is 62, what is the number?
A
155
B
165
C
145
D
150
Question 14
The ratio of third proportional to 12 and 30 and the mean proportional between 9 and 25 is:

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A
4 : 1
B
5 : 1
C
7 : 15
D
8 : 14
Question 15
Coefficient of correlation from the following data will be
x : 1 2 3 4 5
y : 2 5 7 8 10
A
– 0.97
B
0.97
C
0.90
D
None of these
Question 16
A certain sum of money is borrowed by a person at 8% simple interest for 4 years. If he has to pay Rs. 7384 as interest, what is the total amount he has to pay?
A
Rs. 1584
B
Rs. 1678
C
Rs. 1632
D
Rs. 1464
Question 17
Sum of five consecutive even numbers is 380. What is the sec­ond number in ascending order ?
A
78
B
74
C
76
D
72
Question 18
If in an infinite G.P. first term is equal to the twice of the sum of the remaining terms, then its common ratio is
A
2
B
1/3
C
1
D
– 1/3
Question 19
If in a frequency distribution, the mean and median are 21 and 22 respectively, then its mode is approximately

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A
20.5
B
25.5
C
22.0
D
24.0
Question 20
_____is used when only a rough measure of dispersion is required.
A
Range
B
Mean Deviation
C
Standard Deviation
D
Quartile Deviation
Question 21
The difference in simple interest on a certain sum of money for 3 years and 5 years at 18% per annum is Rs. 2,160. Then the sum is
A
Rs. 6,500
B
Rs. 4,500
C
Rs. 7,500
D
Rs. 6,000
Question 22
Two trains 80 metres and 70 metres in length respectively are running in the same direction on parallel tracks. The speed of the first train is 45 km/h and that of the second train is 36 km/h. In what time will they be completely clear of each other from the moment they meet?
A
2 minutes
B
1 minute
C
1.5 minutes
D
2.5 minutes
Question 23
Of an amount, 20% of 25% of 30% is Rs. 75. Then what is the original amount?
A
Rs. 5000
B
Rs. 1000
C
Rs. 4000
D
Rs. 2500
Question 24
The smallest number, which when subtracted from the sum of squares of 11 and 13 gives a perfect square, is
A
4
B
5
C
9
D
1
Question 25
Constructing a frequency distribution

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A
begins by recording the number of times a particular value occurs
B
is the basis for construction of a percentage distribution
C
is one of the most common means of summarizing data
D
all of these
Question 26
If the square of a number of two digits is subtracted from the square of the number formed by interchanging the digits, the largest number by which the result is always divisible is
A
99
B
11
C
10
D
9
Question 27
The standard deviation
A
is the most valuable measure of spread or dispersion
B
all of these
C
does not have the limitations of the average deviation
D
does not have the drawbacks of the variance because its unit of measure is not squared, but is in the same unit of measure as the mean
Question 28
The central value of the set of observations is called
A
Median
B
Mode
C
G.M.
D
Mean
Question 29
If you wanted to display graphically the relationship of one variable to another, you might use a:

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A
Pie chart
B
Data matrix
C
Table
D
Line graph
Question 30
Four dice (six faced) are rolled. The number of possible outcomes in which at least one die shows 2 is
A
671
B
None of these
C
625
D
1296
Question 31
If the values of regression coefficients are – 0.33 and – 1.33, then the value of coefficient of correlation between the two variables, is
A
0.2
B
– 0.4
C
– 0.66
D
0.4
Question 32
The difference between 45% of a number and 18% of the same number is 145.8. What is 30% of that number?
A
184
B
162
C
148
D
178
Question 33
Which of the following factors is not necessary in determining sample size?
A
confidence level
B
magnitude of acceptable error
C
estimated standard deviation of the population
D
All of the these are necessary
Question 34
If (38) is subtracted from the square of a number, the answer so obtained is 10664. What is the the number?

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A
246
B
236
C
266
D
256
Question 35
An integer m is said to be related to another integer n if m is a multiple of n. Then the relation is
A
Equivalence relation
B
Symmetric and transitive
C
Reflexive and transitive
D
Reflexive and symmetric
Question 36
Rs. 79375 is borrowed at CI at the rate of 16% per annum. What will be the amount to be paid after two years?

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A
Rs. 14225
B
Rs. 11385
C
Rs. 13175
D
Rs. 12615
Question 37
A coin is tossed 10 times. The probability of getting exactly six heads is

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A
512/512
B
105/515
C
100/153
D
158/485
Question 38
The variance of the data 2, 4, 6, 8, 10 is

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A
None of these
B
8
C
6
D
7
Question 39
A man can row 12 km/h in still water. If the river is running at 3 km/h, it takes 6 hours more upstream than to go downstream for the same distance. How far is the place?
A
120 kms
B
135 kms
C
124 kms
D
130 kms
Question 40
The central value of the set of observations is called
A
G.M.
B
Median
C
Mode
D
Mean
Question 41
A cyclist travels from place A to B at a speed of 10 km/hr and back at 15 km/hr. What is the average speed of his whole journey?
A
12 km/hr
B
14 km/hr
C
12.5 km/hr
D
None of these
There are 41 questions to complete.
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