SSC CGL Tier 1 Mathematics 40

In a circular path of 600 m, Pankaj and Rohit start walking in opposite directions from the same point at the speeds of 2.85 m/s and 5.4 km/h, respectively. After how many minutes will they meet for the first time? (Rounded off to one decimal point)

The curved surface area of a right circular cylinder of height 56cm is 1408 cm2. Find the diameter of the base of the cylinder.

The third proportional to 7 and 63 is:

40 men can complete a work in 30 days. However, if 10 men leave the group, how many days will the group take to complete the work?

If 7 cot P = 24, then find sin P

The average of all prime numbers between 32 and 69 is:

The distribution of monthly expenditure of Ramesh on various items is shown in the following pie chart

If the monthly income of Ramesh is ₹45,000, then find his total monthly expenditure (in ₹) on housing and transportation.

If the cost price of 28 oranges is equal to selling price of 24 oranges, then the profit percentage is:

A circular arc whose radius is 4cm makes an angle 45° at the centre. Find the perimeter of the sector formed. (Take Π= 22/7)

A can finish a job in 8 hours and B can finish the same job in 12 hours independently. If they work simultaneously, in how many hours can they do the same job?

The sum of the cubes of two given natural numbers is 9728, while the sum of the two given numbers is 32. What is the positive difference between the cubes of the two given numbers?

Ram can complete a piece work in 15 days, Rohan in 25 days, and Rohit in 30 days. Rohan and Rohit worked together for 2 days and then Rohit was replaced by Ram. In how many days altogether was the work completed?

In what time will ₹3,720 amount to ₹5,282.4 at 12% simple interest per annum?

The following pie charts show the data of the number of appeared and passed students of class 12 in sections A, B, C, D and E.

How many students failed in section C ?

If the measure of one angle of a right triangle is 30° more than the measure of the smallest angle, then the measure of the smallest angle is:

Which number among 11368, 11638, 11863 and 12638 is divisible by 11?

Avinash’s monthly salary is ₹50,000 and his monthly expenditure is ₹18,000. Radha’s monthly salary is ₹60,000 and her monthly expenditure is ₹24,000. Find the ratio of Radha’s savings to Avinash’s saving’s.

Simplify the following expression

If (tan² Q)² + tan² Q = 1, What is the value of 11 [( cos² Q )² + cos² Q ]  ?

Select the correct statement about the properties of a triangle.

How many of the following numbers are divisible by 3 but NOT by 9?

5826, 5964, 6039, 6336, 6489, 6564, 6867 and 6960

Sara can finish a work in 18 days and Tara can complete the same work in 15 days. Tara worked for 10 days and left the job. In how many days can Sara finish the remaining work alone?

A 252 m long train is running at a speed of 125 km/h. What is the time (in seconds) in which it will pass a man who starts from the engine running at the speed of 17 km/h in the same direction as that of the train?