SSC CGL Tier 1 Mathematics 12

A train traveling at 70 km/h crosses another train traveling in the same direction at 34 km/h in 25 seconds. What is the combined length of both the trains (in metres)?

In a 1500 m race, X beats Y by 100 m and X beats Z by 240 m. By what distance does Y beat Z in the same race?

Find the value of the following expression.

12 (sin⁴ Q+cos⁴ Q)+18 (sin⁶ Q+cos⁶ Q)+ 78 sin² Q cos² Q

By selling a watch for Rs. 2,000, a shopkeeper loses 20%. How much would he gain or lose by selling it for Rs. 3,000?

If a² + b² + c² = ab + bc + ac, then the value of is:

The value of  51 ÷ { 25 + (25 of 12 ÷30 ) - ( 5⁴ ÷ 5 of 125 )} is:

D and E are points on the sides Ab and AC, respectively. of ΔABC such that DE is parallel to BC and AD : DB = 7 : 9. If CD and BE intersect each other at F, then find the ratio of areas of ΔDEF and ΔCBF.

A and B can finish a work in 10 days, B and C can finish it in 12 days and C and A can finish in 6 days. In how many days A alone can finish the work?

The square of the difference between two given natural numbers is 324, while the product of these two given numbers is 144. Find the positive difference between the squares of these two given numbers.

Which of the following is a FALSE statement?

The marked price of a ceiling fan is Rs. 4,200 and the shopkeeper allows a discount of 5% on it. If his profit is 14%, then the cost price of the fan is:

A and B are equally efficient, and each could individually complete a piece of work in 30 days, if none took any holiday. A and B started working together on this piece of work, but A took a day off after every four days of work, while B took a day off after every five days of work. If the duo had started work on 01 August 2022, on which date was the work completed?

In how many years will a sum of Rs. 9,500 amount to Rs. 11,780 at the rate of 8% per annum at simple interest?

A conical tent with radius 6 units and height 8 units is to be made by canvas. How much canvas is needed to make the tent? (Rounded off to two places of decimals)

If sin (5x - 25°) - cos(5y + 25°), where 5x - 25° and 5y + 25° are acute angles, then the value of (x + y) is:

The given table shows the percentage of marks obtained by five students in five different subjects in a school.

What is Hitansh's overall percentage (rounded upto 2 decimal places) in the examination?

ΔPQR is an equilateral triangle inscribed in a circle. S is any point on the arc QR. Find the measure of ∠PSQ.

A toffee company prepares toffee of two different flavours X and Y. The production of two flavours over a period of 4 years is expressed in the bar graph given below.

What is the difference between the average production of flavour X in 2017 and 2018 and the average production of flavour Y in 2019 and 2020.

A alone can finish a work in 15 days. A works only for the first two days and last two days. The rest work is done by B and the work is completed in 20 days. In how many days A and B together can finish the work?

If the cost of 120m of cloth is Rs. 9,600, then what will be the cost of 147 m of that cloth?

The smallest number added to 888 so that it is exactly divisible by 35 is:

In a constituency, 85% of the total number of people on the electoral roll cast their votes during an election. 10% of the votes cast were declared invalid. If there were 3,00,000 people on the electoral roll, and Dharam secured 1,37,700 valid votes, what percentage of the total number of valid votes did Dharam secure?

If in ΔXYZ, XY = 4, and XZ = 5cm and Q is a point on YZ such that XQ bisects ∠X, then YQ : QZ is:

According to Raghav, his weight is more than 64 kg but less than 74 kg. His sister does not agree with Raghav and she thinks that his weight is more than 60 kg but less than 69 kg. His mother's view is that his weight cannot be more than 68 kg. His father's view is that his weight cannot be more than 67 kg. If all are them are correct in their estimation, then what is the average of different probable weights of Raghav measured (in kg)?