SSC CGL Tier 1 Mathematics 1

Find the value of the given expression 14 ÷ 7 × 1 + 3 – [18 – {15 – (7 – 7 – 2)}]

If (a + b + c) = 14, and (a³ + b³ + c³ – 3abc) = 98, find the value of (ab + bc + ca)

In 1 km linear race, P beats Q by 120 meters or 30 sec. What is the time taken by P to cover the race?

Find the value of X in the given figure where TP (tangent on point T)= 15cm, PB = 2X +3 cm, PA= 9cm.

If A= 22.5⁰ , what is the value of (10 √2   sin 2A – 7 √2   cos 2A + 9 tan 2A) ?

A watch is purchased for ₹3,200 and sold for ₹2,700. Calculate the percentage loss up to two places of decimal.

In an examination of 7 papers of 100 marks each, there were 3 mathematics papers, 2 English papers, and 2 Hindi papers. D gets average marks of 45, 55, and 60 in mathematics, English, and Hindi, respectively. What are the average marks per paper?

Study the given table and answer the question that follows.

The table shows the marks distribution among the students in a class.

How many students scored more than 40 marks?

15 men complete a work in 10 days. 15 women complete the same work in 12 days. If all these men and women work together, then the number of days required to complete that work is:

In the figure, PT is a tangent. If TP=12cm, PB= X+7 cm, and PA= X cm, then find the value of X.

Ramesh alone can complete a work in 24 days. Ramesh and Somesh can complete itin 8 days. How long will Somesh alone take to complete the work?

Triangle ABC is circumscribed around circle D. Segments AQ, BR, and SC measure 13, 10.5, and 6 cm, respectively. The perimeter of triangle ABC is:

The force (in pound-force) needed to keep a car from skidding on a curve variesdirectly with the weight of the car (in pounds) and the square of its speed (in miles perhour [mph]) and inversely with the radius (in feet) of the curve. Suppose 6125 pound-force is required to keep a 2750 pound car, traveling at a speed of 35 mph, from skidding on a curve of radius 550 feet. How much pound-force is then required to keep a 3600-pound car, traveling at a speed of 50 mph, from skidding on a curve of radius750 feet?

Ram bought a cell phone and paid 30% less than its original price. He sold it at 50%profit on the price he had paid. The percentage of profit earned by Ram on the original price was:

A circular running path is 1452 m in circumference. Two men start from the same point and walk in opposite directions at the speed of 7.5 km/h and 9 km/h, respectively. When will they meet for the first time?

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 product of the two given numbers?

If the volume of a cube is 4096 cm³, then what is the length of the side of the cube?

Three successive discounts of 10% are available on the sale of a washing machine with a marked price of ₹55,000. Find the final selling price (in ₹) of the washing machine.

Expand and simplify the algebraic expression:

(X-5)² + (X+3)² + 4X

A.  (X² + 17)

B.  2(X² + 17)

C.  2(X² -5X + 17)

D. 2(X² - 17)

What smallest positive number should be subtracted from 2 and 3 so that 4 is the thirdproportion to them?

Simplify the following expression.
120 ÷ 15 of 4 + [ 11 × 4 ÷ 4 of { 4 × 2 - ( 8 - 11 ) } ]

A sum of money at simple interest amounts to ₹1,200 in 3 years and to ₹1,350 in 4years. The sum is:

What is tan(Q/2) ?

Study the graph carefully.

The decrease in imports in 1976 was what percent of the imports in 1975?

sin 600° cos 750° + sin 150° cos 240° = ?