CMAT 2021 Slot 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:

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?

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?

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?

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 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:

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 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?

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.

If x² – 3x + 2 is a factor of x⁴ – px² + q, then (p, q) =

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?

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?

Which of the following graphs represent the function of x?

Choose the correct answer from the options given below :

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:

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?

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.

If A : B = C : D, then the value of

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?

(Here c stands for comlement)

Choose the correct answer from the options given below:

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?

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:

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.