SSC CGL Tier 1 Mathematics 2

What will be the remainder when (265)⁴⁰⁸¹  + 9 is divided by 266?

Two runners, Sony and Mony, start running on a circular track of length 200 m at speeds of 18 and 24 km/h, respectively, in the same direction. After how much time from the start will they meet again at the starting point?

If {(3 sin Q - cos Q ) / ( cos Q + sin Q )} = 1, then the value of cot Q is :

If (a+b+c) = 16 and (a² + b² + c² ) = 90, find the value of (ab + bc + ca).

The volume of a sphere of radius 4.2 cm is :   (use π = 22/7)

If the four numbers, 39, 117, 17 and y are in proportion, then find the value of y.

What is the value of ( 3X³ + 5 X² Y + 12 X Y² + 7 Y³ ), when X= -4 and Y= -1 ?

If cos Q = √3 / 2, then tan² Q cos² Q = ?

A man, a boy and a woman can finish a work in 10 days, 15 days and 30 days, respectively. In how many days can the work be finished by a man, a woman and a boy when all of them work together?

In what time will ₹10,000 at 4% per annum, produce the same interest as ₹8,000 does in 4 years at 5% simple interest?

The following bar chart represents the gross amount (in lakhs) and total cost (in lakhs) of a firm.

In order to make a profit of 25%, what should the gross amount have been  (in crores) in 2019-2020, if the total cost remained the same?

A shopkeeper offers the following two discount schemes.
A) Buy 3 get 4 free
B) Buy 5 get 6 free
Which scheme has the maximum discount percentage?

In the given figure, PAB is a secant and PT is a tangent to the circle from P. If PT=8cm, PA=6 cm and AB = X cm. then find the value of X.

If m∠C=m∠Z and AC=XZ, then which of the following conditions is necessary for ΔABC and ΔXYZ to be congruent?

If 7b -  1/4b  = 7, then what is the value of 16b²  +  1/ 49b²  ?

A train 900 m long is running at 108 km/h. How long will it take to clear a 900 m long platform completely?

If sin(a+b) = 1 and cos(a-b) = ½ , then find a.

Two concentric circles are of radii 10 cm and 6 cm. Find the length of the chord of the larger circle which touches the smaller circle.

Study the given table and answer the question that follows:

The table shows the classification of 100 students based on the marks obtained by them in History and Geography in an examination.

Based on the table, what is the number of students scoring less than 20% marks in aggregate?

6²⁵ + 6²⁶ + 6²⁷+ 6²⁸ is divisible by:

8 men can complete a work in 45 days. 8 women can complete the same work in 18 days. In how many days will 5 men and 8 women, together, complete the same work?

As part of his journey, a person travels 120 km at 80 km/h, the next 100 km at 40 km/h, and comes back to the starting point at 75 km/h. The average speed of the person throughout the journey (approximately) is:

A can complete a piece of work in 25 days while B can complete the same work in 30 days. They work on alternate basis, starting with A. Both A and B follow this pattern for 5 days and then A leaves the work. In how many days will B finish the remaining work?

The marked price of mustard oil is 25% more than its cost price. At what percentage less than the marked price should it be sold to have no profit and no loss?

If A is 95% of B, then what per cent of A is B?