SSC CGL Tier 1 Mathematics 4

A and B have some toffees. If A gives one toffee to B, then they have equal number of toffees. If B
gives one toffee to A, then the toffees with A are double with B. The total number of toffees with
A and B are ________.

Which of the following statements is INCORRECT ?

Simplify the following expression.

The current ages of Sudhir and Ashish are in the ratio 5 : 7. Twelve years ago, the ratio of their
ages was 1 : 2. What will be the age of Sudhir after five years from now ?

AB is the diameter of a circle with centre 0. P be a point on it. If  ∠AOP = 95°, then ∠OBP= _________.

What is the central angle corresponding to the sector indicating the expenses incurred on Health?

A dealer professing to sell his goods at cost price uses 950 grams weight for 1 kg. His gain
percentage is: ( rounded off to two decimal places)

In an office, a typing work can be finished by Monika in 6 hours, Anita in 8 hours and
Manju in 5 hours if they work alone. How much time (in hours) will they take if they work together?

Virat can complete a work in 30 days and Daniel is 60% more efficient than Virat to complete the
same work. Find the total time taken by Daniel to complete the work.

If X + 1/X = 7, then the value of X⁶ + 1/X⁶ is:

What is the value of sin 30° + cos 30° + tan 30°

The average of 36 numbers was found to be 45. Later, it was detected that 84 was misread as 48.
Find the correct average of the given numbers.

A's efficiency is twice that of B's. A can work only for 8 hours a day while B can work for 12 hours a day. If A can finish a work in 12 days, in how many days can B finish the same work?

A man invests a total sum of f10,000 in a company. A part of the sum was invested at 10% simple interest per annum and the remaining part at 15% simple interest per annum. If the total interest accrued to him in two years equals f2,400, the sum invested at 15% simple interest per annum is:

Two friends P and Q simultaneously start running from same point around a circular track. They run in the same direction. P runs at 6 m/sec and Q runs at b m/sec. If they cross each other at exactly two points on the circular track and b is a natural number less than 6, then how many values can b take?

Jehangir had to cover a distance of 90 km in an hour. During the first 25 minutes he travelled at a speed of 15.2 metres per second. How many metres did Jehangir cover per second during the remaining period to reach his destination just on time?

If sin 23° = a/b, then the value of sec 23° - sin 67° is _____.

In an election between three candidates, Arjun, Bhaskar and Sarai contested for a post. Arjun got 50% votes more than Sarai, and Sarai got 2% votes less than Bhaskar. The difference between the votes of Bhaskar and Sarai is 1296. What is the half of the difference between the votes of Arjun and Bhaskar?

An inlet pipe can fill an empty tank in 140 hours while an outlet pipe drains a completely-filled tank in 63 hours. If 8 inlet pipes and y outlet pipes are opened simultaneously, when the tank is empty, then the tank gets completely filled in 105 hours. Find the value of y.

Solve the following expression.

[7 + 30 ÷ 6 - (6 + 6) + 7]

The volume of a cone is 73920 cm³. If the height of the cone is 160cm, then find the
diameter of its base.

If sec² Q + tan² Q = 25/18, then the value of sec⁴ Q – tan⁴ Q is:

A trader allows a 20% trade discount and a 30% cash discount. If the list price is 1,200, then the
selling price (in Rupees) is: