CMAT 2019 Slot 1 (Quantitative Aptitude)

How much time does Mr.Surya take to cover a distance of 500 m if he runs at a speed of 25 km/hr?

What is the area covered by a bell-shaped curve from —6 sigma to +6 sigma in normal distribution?

The following table lists the marks of seven students(rows) of a class across six subjects(columns). The Numbers in the Parenthesis indicate the maximum marks of the subject concerned. Use the data in the table to answer the question that follows :

Who is the topper of the class?

Rajesh can check the quality of 1000 items in 5 hours and Rakesh can complete 75% of the same job in 3 hours. How much time is required for both of them to check 1300 items, if Rakesh stops checking after 2 hours?

Two oranges, three bananas and four apples cost Rs. 15. Three oranges, two bananas and one apple cost Rs. 10. I bought 3 oranges, 3 bananas and 3 apples. How much did I pay?

What value should come in place of question mark(?) in the following equation?
360√?+ 4500 = 19700 - 9800

In a building, there are 30 cylindrical pillars. The radius of each pillar is 35 cm and height is 5 m. Find out the cost of painting the curved surface of half the number of pillars. The rate of painting is Rs. 10 per.

A management institute has 6 senior professors and 4 junior professors, 3 professors are selected at random for a government project. The probability that at least one of the junior professors would get selected is :

The angle created by two hands of a clock when the clock shows 5.20 P.M. is :

The total volume of soaps sold is 680 lakhs units. The volume of Lux sold is 136 lakh units. If the percentage of Lifebuoy sold is 30%, Camay 10%, Liril 15% and Mysore Sandal 10%, answer the following questions.

What is the market share of others in percentage points?

There are 6 tasks and 6 persons. Task 1 cannot be assigned either to person 1 or person 2. Task 2 must be assigned to either person 3 or person 4. Every person is to be assigned one task. In how many ways can the assignment be done?

The maximum value of 3 cosx + 4 sinx + 8 is

If one third of one-fourth of a number is 15, then three-tenth of that number is

What is the probability of drawing a king or a heart from a deck of cards ?

The sum of three consecutive odd numbers is 20 more than the first number. What is the middle number ?

In a simultaneous throw of a pair of dice, find the probability of getting a total of 9 or more.

The length, breadth and height of a rectangular cuboid are in the ratio 1: 2 : 3. If the length, breadth and height are increased by 100% each then what would be the increase in the volume of the cuboid?

It costs Rs. 6000/- and Rs. 6,100- respectively to paint the 4 walls of 2 square halls, of the same height. If the length of one hall exceeds the length of the other by 1 m and the cost of painting is Rs. 5 per sq.m., what is the height of the two walls?

A rectangular box of width(a), length(b), and height(c) has a solid cylinder of height 'c' and of diameter 'a' placed within it. If a= 6, b =8 and c =10, how much volume is left in the rectangular box?

If f(x) = x³ - 4x + p and f(0) and f(1) are of opposite signs, Which one of the following is neccessarily true?

The speed of a boat in still water is 5 km/hr. If it takes thrice as much time in going 20 km upstream as in going the same distance downstream, find the speed of the stream.

Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find the surface area of the cube so formed.

The speeds of 3 cars in the ratio 5:4:6. The ratio between the time taken by them to travel same distance is