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Get access to the detailed solutions to the previous years questions asked in CMAT exam.
1 Quantitative Aptitude
Two pipes A andBcan fill a tank in 5 hours and 20 hours respectively. Both pipes together can fill the same tank in:
A. 4 hours
B. 6 hours
C. 10 hours
D. 2 hours
2 Quantitative Aptitude
In June-2020, the ratio of boys to girls in a college was 3 : 2. In September-2020, there were 80 fewer boys and 20 fewer girls in the college and the ratio of boys to girls was 7 : 5. What was the total number of students in the college in June-2020?
a. 1000
B. 1100
C. 1200
D. 1300
3 Quantitative Aptitude
M is a 4-digit number. If the left most digit is removed, then the resulting three digit number is of M. How many such M's are possible?
A. 10
B. 9
C. 8
D. 7
4 Quantitative Aptitude
L and M together can complete a piece of work in 72 days, M and N together can complete it in 120 days, and L and N together in 90 days. In what time can L alone complete the work?
a. 150 days
BV. 80 days
C. 100 days
D. 120 days
5 Quantitative Aptitude
Given below are two statements
Statement I : The set of numbers(5,6, 7, p, 6, 7, 8, g) has an arithmetic mean of 6 and mode (most frequently occurring number) of 7.
Then p x q = 16.
Statement II: Let p and q be two positive integers such that p + q + p × q = 94.
Then p + q = 20.
In light of the above statements, choose the correct answer from the options given below
a. Both Statement I and Statement II are true
B. Both Statement I and Statement II are false
C. Statement I is true but Statement II is false
D. Statement I is false but Statement II is true
6 Quantitative Aptitude
A milkman adds 10 litres of water to 90 litres of milk. After selling 1/5 of the total quantity, he adds water equal to the quantity he sold. The proportion of water to milk he sells now would be:
A. 72 : 28
B. 28 : 72
C. 20 : 80
D. 30 : 70
7 Quantitative Aptitude
In a ?ABC, D, E and F are the mid-points of the sides AB, BC and CA respectively. Then the ratio of the area of a ?DEF and the area of a ?ABC is:
A. 1:4
B. 1:2
C. 2:3
D. 4:5
8 Quantitative Aptitude
A 100-meter long train crosses a 200-meter long and 20-meter wide bridge in 20 seconds. What is the speed of the train in Km/hour?
A. 45
B. 36
C. 54
D. 57.6
9 Quantitative Aptitude
a. Both Statement I and Statement II are true
B. Both Statement I and Statement II are false
C. Statement I is true but Statement II is false
D. Statement I is false but Statement II is true
10 Quantitative Aptitude
Given below are two statements:
Statement I : Acoin is tossed three times. The probability of getting exactly two headsis = d
StatementII: In tossing of 10 coins, the probability of getting exactly 5 heads is §3 256°
In thelight of the above statements, choose the correct answer from the options given below.
A. Both Statement I and Statement II are true
B. Both Statement I and Statement II are false
C. Statement is true but Statement II is false
D. Statement I is false but Statement II is true
11 Quantitative Aptitude
If x2 – 3x + 2 is a factor of x4 – px2 + q, then (p, q) =
a. (5,2)
B. (5,4)
C. (-5,-4)
D. (-5,4)
12 Quantitative Aptitude
In a 100 meter race, A beats B by 10 meters and B beats C by 5 meters. By how many meters does A beat C?
A. 15.0 meters
B. 15.5 meters
C. 10.5 meters
D. 14.5 meters
13 Quantitative Aptitude
Mohan bought a trouser at 10% discount and sold it to Sohan at a loss of 10%. If Sohan paid Rs. 729 for the trouser to Mohan, then what was the undiscounted price of the trouser?
a. Rs. 900/-
B. Rs. 800/-
C. Rs. 1000/-
Rs. 911.25/-
14 Quantitative Aptitude
Which of the following graphs represent the function of x?
Choose the correct answer from the options given below :
A. (A), (B) and (C) only
B. (A), (B) and (D) only
C. (A) and (D) only
D. (A) and (D) only
15 Quantitative Aptitude
The following pie-chart indicates the monthly domestic budget of a family:
where A = Food: B = Conveyance; C = Clothing: D = House Rent: E = Miscellaneous Expenses:
F = Saving.
If the monthly saving of the family is Rs. 4500, then the monthly income of the family is:
A. Rs. 45000
B. Rs. 45000
C. Rs. 25000
D. Rs. 20000
16 Quantitative Aptitude
Two sisters Neha and Monica walk to school from the house. Neha takes 40 minutes while Monica takes 30 minutes. One day Neha started 5 minutes earlier than Monica. In how many minutes would Monica overtake Neha?
A. 5
B. 15
C. 20
D. 25
17 Quantitative Aptitude
Given below are two statements
Statement I : A committee of 4 can be made out of 5 men and 3 women containing at least one woman in 65 ways.
Statement II : The number of words which can be formed using letters of the word ARRANGE' so that vowels always occupy even place is 36.
In light of the above statements, choose the correct answer from the options given below.
A. Both Statement I and Statement II are true
B. Both Statement I and Statement II are false
C. Statement I is true but Statement II is false
D.Statement I is false but Statement II is true
18 Quantitative Aptitude
If A : B = C : D, then the value of
A. 1/2
B.
C.
D.
19 Quantitative Aptitude
The dimensions of a floor are 18 x 24. What is the smallest number of identical square tiles that pave the entire floor without the need to break any tile?
A. 6
B. 24
C. 8
D. 12
20 Quantitative Aptitude
A. (A), (B) and (C)
B. (A), and (B) only
C. (B) and (C) only
D. (C) and (A) only
22 Quantitative Aptitude
(Here c stands for comlement)
Choose the correct answer from the options given below:
A. (A)-(II), (B)-(III), (C)-(IV), (D)-(I)
B. (A)-(IV), (B)-(III), (C)-(II), (D)-(I)
C. (A)-(I), (B)-(III), (C)-(IV), (D)-(II)
D. (A)-(II), (B)-(IV), (C)-(III), (D)-(I)
23 Quantitative Aptitude
In the year 2020, Production of Sugar (in Million Tonnes) by six major production units A-F of India are shown in the table given below:
What was approximate percentage decrease in sugar production of unit B in June as compared to April?
A. 8%
B. 11%
C. 15%
D. 18%
24 Quantitative Aptitude
The difference between the compound interest and simple interest for the amount Rs 5000/- in 2 years is Rs. 32. Then the rate of interest per annum is:
A. 5%
B. 8%
C. 10%
D. 12%
25 Quantitative Aptitude
Given below are two statements
Statement I: In the sequence of numbers 30, 90, 182, 306, 462,P........ . the term P is 650.
Statement II : There are 8 digits in 98 when it is expressed in decimal form.
In light of the above statements, choose the correct answer from the options given below.
A. Both Statement I and Statement II are true
B. Both Statement I and Statement II are false
C. Statement I is true but Statement II is false
D. Statement I is false but Statement II is true