SSC CGL Tier 1 Mathematics 9

A six-digit number is divisible by 33. If 54 is added to the number, then the new number formed will also be divisible by:

What is the value of

In the given figure, if AD ⊥ BC, AC= 26 units, CD= 10 units, BC= 42 units, ∠DAC = x and ∠B =y, then the value of

A spherical ball of lead, 3cm in diameter, is melted and recast into three spherical balls. The diameters of two of these balls are 3/2 cm and 2cm, respectively. Find the diameter of the third ball.

Simplify the expression.

If the selling price of an article is doubled, then the profit becomes four times. What was the original profit percentage?

If

A sector of a circle of radius 10 cm is formed at 60° angle at the centre. What will be its area (take Π= 3.14)?

(options are in cm²)

A dealer marks his goods at 20% above the cost price and allows a discount of 15% on the marked price. What is his gain or loss percentage?

During a division, Pranjal mistakenly took as the dividend a number that was 10% more than the original dividend. He also mistakenly took as the divisor a number that was 25% more than the original divisor. If the correct quotient of the original division problem was 25 and the remainder was 0, what was the quotient that Pranjal obtained, assuming his calculations had no error?

15 men and 21 women, working together, can do a job in 56 days, while 12 men and 24 women, working together, can do the same job in 64 days. In how many days can the same job be done by 18 men and 24 women, working together?

A can complete a work in 18 days, while B can complete it in 12 days. B worked on it for 4 days. How long will A take to finish the remaining work?

A part of a journey is covered in 37.5 minutes at 90 km/h and the remaining part in 14 minutes at 80 km/h. The total distance (in km) of the journey is:

A can do 20% of a job in 7 days and B can do 25% of the job in 7 days if they worked alone. How much of the job (in percentage) can they complete in 7 days if they worked together?

Study the given pie-chart carefully and answer the following question.
If scholarship has to be paid out of the donation fund, then what is the percentage of donation fund used for this purpose (rounded off to two decimal places)?

What is the value of ( 27x³ - 58x² y + 31 x y² - 8y³ ), when x = - 5 and y = - 7 ?

A person standing at a distance looks at a building having a height of 1000 metres. The angle between the top of the building and the ground is 30°. At what approximate distance (in metres) is the person standing away from the building.

18 ÷ {( 6 of 2 - 4)} x 5(6 - 3) = __________

Racer A and racer B run a race of 18 km on a circular track of length 800 m. Both complete one round in 200 sec and 250 sec, respectively. After how much time from the start will the faster person meet the slower person for the last time?

Money was lent on simple interest. After 12 years, its simple interest becomes 3/5 of the money. Find the rate of interest.

20 students of a college went to a hotel. 19 of them spent Rs. 175 each on their meal and the 20th student spent Rs. 19 more than the average of all the 20. Find the total money spent by them.

Which of the following statements is INCORRECT?

The following table shows the score of three attempts of Archery players in a tournament. The player scoring the highest average score was declared the best player. Who was the best player?

The area of the sector of a circle of radius 12 cm is 32 Π cm2• Find the length of the corresponding arc of the sector.