SSC CGL Tier 1 Mathematics 35

ΔABC is a right trianele. If ∠B- 90° and tan A =1/ √2, then the value of sin A cos C + cos A sin C is:

A petrol tank is of length 50 m, breadth 25 m, and depth 10 m. How many litres of  petrol can be accommodated in the petrol tank when it is completely filled?

The interest earned on ₹21,000 in 3 years at simple interest is ₹6,400. What is the rate of interest per annum?

The following table shows the percentage distribution of employees in five different departments 1-5 in a company during the years 2020 an 2021. The total number of employees in 2020 and 2021 is 1200 and 1600, respectively.

In which department is the variation in strength of employees maximum in 2021 in comparison to that in 2020?

Pipe A can fill 50% of the tank in 6 hours and pipe B can completely fill the same tank in 18 hours. If both the pipes are opened at the same time, in how much time (in minutes) will the empty tank be completely filled?

Pipe A and pipe B running together can fill a cistern in 6 minutes. If B takes 5 minutes more than A to fill it, then the time in which A and B will fill that cistern separately will be, respectively, _____________.

The area of a sector of a circle is 110 cm² and the central angle of the sector is 56°, what is the radius of the circle? (Take π=22/7)

Which of the following will yield maximum discount on ₹7,500?
1. Two successive discounts of 5% and 5%
2. Single discount of 10%
3. Two successive discounts of 8% and 2%

A can complete a piece of work alone in 120 days, while A and B, working together, can complete this piece of work in 72 days. In how many days can B, working alone, complete this piece of work?

A 9-digit number 846523X7Y is divisible by 9, and Y- X = 6. Find the value of √(2X + 4Y)

Each inlet pipe can fill an empty cistern in 84 hours while each drain pipe can empty the same cistern from a filled condition in 105 hours. When the cistern is empty, 9 inlet pipes and 10 outlet pipes are simultaneously opened. After how many hours will the cistern be completely filled?

What is the surface area (in cm²) of a spherical sculpture whose radius is 35 cm? (Take π= 22/7)

If (a³+ b³ + c³- 3abc) =405, and (a-b)² + (b-c)²+ (c-a)² = 54, find the value of (a + b + c).

The ratio of the number of boys in a school to the total number of boys and girls in that school is 7 : 17. If the number of boys in that school is 1099, then how many girls are there in that school?

Study the given table and answer the question that follows.

The table gives the number of graduate students enrolled in 4 different colleges A, B, C, and D in a city over the years 2010 to 2014 and also the number of students who passed in the final examination during these years

Find the percentage of students who passed from college B for all the years put together to the number of students from college B during all the years ( rounded to 2 decimals ).

If (a+b+c) = 13, and (ab+bc+ca)=54, find the value of (a²+b²+c²).

What is the value of 6 – (6 ÷ 2 – 3 + 7 – 2) × [{3 – 2 ÷ 2} × 5 – 6]?

In a right triangle for an acute angle x, if sin x =3/ 7 then find the value of cos x

For congruent triangles ΔABC and ΔDEF, which of the following statements is correct?

If, in a competitive exam, the marks obtained by Sam are 19% less than those of Peter, then the marks obtained by Peter are how much percentage more than the marks obtained by Sam? (Correct to two decimal places)

In a class of 60 students, there are 35 boys. The average weight of boys is 42 kg and the average weight of the full class is 46.5 kg. Find the average weight of girls in the class.

Ram and Shyam are racing along a circular track. The speed of Ram is thrice the speed of Shyam. The length of the circular track is 1440 m. After the start of the race from the same point simultaneously, Ram meets Shyam for the first time at the end of the 8th minute. If Ram and Shyam start the race again from the same starting point simultaneously, then the time taken by Shyam to finish the race is: (given that the length of the race is same as the length of the track)

A policeman spots a thief at a distance of 360 m. Both the policeman and the thief simultaneously start running, with the former chasing the latter. While the thief runs at the speed of 8 km/h, the policeman runs at 9.2 km/h. How many metres will the policeman have to run before he catches up with the thief?