SSC CGL Tier 1 Mathematics 13

Shatabdi Express train covers 700 km in 5 hours and another 1012 km in 11 hours. What is the average speed of the train (in metres/second) ?

A man and a woman can finish a work together in half the time taken by a woman and a boy together. A boy can finish the work alone in 20 days and 2 women together can finish it in 30 days. In how many days will the work be finished by 4 men ?

Meenu is 38 years old. Her daughter is 8 years old. In how many years will Meenu be double her daughter's age ?

Sudhin cycled at 8.5 km/h for 4 hours, then took an auto and travelled at 20 km/h for 1.5 hours, and then walked at 4 km/h for y hours. If Sudhin's overall average speed for the entire journey was 10 km/h, what is the value of y ?

Area of a sector is 1848 m² and the central angle of the sector is 270°. Find the radius of the circle.  (Take Π=22/7)

Find the value of the given expression.

4/3 tan ² 45° + 3 cos ² 30° - 2 sec ² 30° - 3/4 cot ² 60°

Observe the given figure. The distance between the two centres AB is

The marked price on a book is Rs.1 ,000. In a book fair, it is available for sale with a discount scheme offering two successive discounts of 12% and 8%. What is the final selling price (in Rs.) of the book for a customer (rounded off to the nearest integer)?

The following diagram shows the rainfall over two years. Which of the following months shows the highest percentage change in rainfall?

An amount becomes double in 8 years on simple interest. In how many years would Rs.25,000 become Rs.1,00,000 with the same rate of interest?

A shopkeeper purchases six small cold drink bottles for Rs. 100. For how much should he sell one such bottle to get a profit of 20%?

If a + b+ c = 6 and a² + b² + c² = 14, then what is the value of (a -b)² + (b-c)² + (c-a)² ?

In a ΔABC, if ∠A = 90°, AC = 5 cm, BC= 9 cm and in ΔPQR, ∠P = 90 °, PR = 3 cm, QR = 8 cm, then :

Find the exact value of cos 120°

Find the fourth proportional of 144, 192 and 216.

Using tan (A- B) = , Find the value of tan 15°

A and B invested money in a business in the ratio of 7 : 5. If 15% of the total profit goes for charity, and A's share in the profit is Rs.5,950, then what is the total profit?

In a company, a piece of work can be completed in 4, 6 and 18 days alone by R, S and T, respectively. In how many days will the work be completed if they work together? (Rounded off to 2 decimal places)

A cone and a cylinder and equal radii have equal volumes. The ratio of their heights is

A thief is spotted by a policeman from a distance of 210 m. When the policeman starts the chase, the thief also starts running. If the speed of the thief is 25 km/h and that of the policeman is 32 km/h, then how far would the thief have run (in m) before he is overtaken ?

Quantity of various food items used by a restaurant during 4 months of a year (in Kg).

What is the average quantity of food item C used during all the 4 months together?

Suresh and Anil are working on a special project. Suresh takes 5 hours to type 40 pages and Anil needs 6 hours to type 32 pages on a computer. How much time will it take them to type a 110-page assignment if they work on two different computers ?

Simplify the following expression.

[ √25 +12 ÷3 - { 20 + ( 16 of 8 ÷16 ) - ( 54 ÷18 of 1/2 )}]