SSC CGL Tier 1 Mathematics 13

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 ?

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 ?

Simplify the following expression.

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

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%?

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

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°

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

Find the exact value of cos 120°

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?

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

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 ?

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

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) ?

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

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)

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?

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?

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 fourth proportional of 144, 192 and 216.

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)

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 ?

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)?

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 ?