SSC CGL Tier 1 Mathematics 27

The length, breadth, and height of a room are 10 m, 8 m and 6 m respectively. Find the cost of white washing the walls of the room and the ceiling at the rate of Rs 7.50 per m2 .

The marked price of a mobile phone is Rs. 15,000 and the shopkeeper sold it for Rs. 13,500. What is the rate of discount offered by the shopkeeper?

Which of the following options gives an expression equivalent to sin(A + B)?

Two men walk from a place at speeds of 9 km/h and 12 km/h, respectively. The first man takes 20 minutes more than the second one to cover the journey. Find the distance of the journey.

Simplify the following expression.

(4x + 1)² - (4x + 3)(4x-1)

The following table shows the marks distribution among the students in a class.

How many students scored less than 20 marks?

In a circular race of 4225 m, X and Y start from the same point and at the same time at speeds of 54 km/h and 63 km/h. When will they meet again for the first time on the track when they are running in the opposite direction?

In AABC, D is the mid-point of BC and G is the centroid. If GD = 10 cm, then the length of AD is ______.

In a class of 60 students, 20 are girls. The average weight of the boys in the class is 40 kg, while that of all the girls is 35 kg. What is the average weight (in kg) of the entire class (correct to two decimal places)?

Study the given table and answer the question that follows. The table shows the number of students studying in six different classes of six different schools

What is the respective ratio of students studying in class IX of schools Q and R together to those studying in class VI of schools S and T together?

P and Q together can complete a piece of work in 6 days. If P can alone complete the work in 18 days, then the number of days required for Q to finish the work is:

In an election between two candidates, 10% of the voters in the voter list did not cast their vote, whereas 10% of the votes cast were found to be invalid. The winning candidate got 56% of the valid votes and won the election by a margin of 1,458 votes. What is the total number of voters enrolled in the voter list?

A pipe can fill a tank in 30 hours. Due to a leakage at the bottom, it is filled in 50 hours. How much time will the leakage take to empty the completely filled tank?

A dishonest shopkeeper sells millet at Rs. 20 per kg which he has bought at Rs. 16 per kg and he is giving 800 gm instead of 1000 gm. Find his actual profit percentage.

The value of tan5°tan25°tan45°tan65°tan85° is equal to _________.

Find the least number divisible by 2, 3, 5, 6, 9 and 18, which is a perfect square.

Three numbers are in the ratio 4/5 : 5/6 :9/10. The difference between the smallest and the greatest numbers is 12. Find the number which is NEITHER the smallest NOR the greatest.

If Cosec Q + Cot Q = m, find the value of  (m² -1) / (m² +1)

The length of the common chord of two circles of radii 15 cm and 13 cm, whose centres are 14 cm apart, is:

The value of x² + y² when x = 1 , y = 2 is:

Aarti can type 85 pages in 10 hours. Aarti and Bina together can type 500 pages in 40 hours. How much time will Bina take to type 40 pages?

A can do a certain piece of work in 1.5 times the number of days in which B and C together can do it. If A and B together can do the said piece of work in 30 days and C alone can do it in 120 days, then how many days will B take to do this piece of work alone?

The simple interest on Rs. 800 for 6 years at 5.5% per annum is equal to the simple interest on Rs. 600 at 4% per annum for a certain period of time. The period of time is:

If tan x = - 12/ 5 , where x lies in the second quadrant, what is the value of sin x-cot x?