Quantitative Aptitude PYQ — Page 130
24,303 questions across SSC exams.
SSC Selection Post • 2023
Rekha has two laptops of the same kind. She sold one of them at ₹32,000 and incurred a loss of 20%. At what price (in ₹) should she sell the second laptop to gain a profit of 20%?
SSC CHSL • 2023
Evaluate: 8 sec² 45° + 20 sin ²30° + 15 tan 45°
SSC CHSL • 2025
A started a business with ₹30,000. B joined after x months with ₹40,000. At the end of the year, their profit-sharing ratio is 3:2. What is the value of x?
SSC Selection Post • 2023
The cost price of milk is increased to ₹62 from ₹60. The milkman sold milk at 10% profit earlier. What is his profit% now if he sells milk at the same rate?
SSC CGL • 2024
The ratio of boys to girls initially in a college is 5 : 6. If 40 boys leave the college and 50 girls join the college, the ratio will become 8 : 11. Find the number of girls (initial) in the college.
SSC CHSL • 2023
Find the value of the expression (x²-1)/(x-1) - (x²-9)/(x-3)
SSC CHSL • 2022
In the following figure, ∆ABC is an inscribed triangle as shown and DE is a tangent to the circle at C. Which of the angles from the given options is necessarily equal to ∠ACD? [Image]
SSC CHSL • 2022
The sum of the length, breadth and depth of a cuboid is 23 cm, and its diagonal is 5 √(7) cm. Its surface area is:
SSC Selection Post • 2022
In △ABC, the bisector of ∠B meets side AC at D. If AB = 16 cm, BC = 9.6 cm, and AC = 22.4 cm, then what is the length (in cm) of AD?
SSC CGL • 2024
If 7 cos A = 6, then the numerical value of cosec A + cot Aover cosec A - cot A is:
SSC CHSL • 2025
The average of 7 numbers is 81. If the average of the first 3 is 87 and last 3 is 78, what is the 4th number?
SSC CHSL • 2019
In a ΔABC, D and E are two points on side AB and BC, respectively such that AD : DB = 2 : 3 and DE || AC. If the area of ΔBDE is equal to 18 cm², then what is the area(in cm²) of ΔABC?
SSC CGL • 2023
D and E are points on the sides AB and AC, respectively, of △ABC 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 △DEF and △CBF.
SSC CHSL • 2025
If p=1+√3, q = 1−√3, Find the value of (p² + q²)
SSC Selection Post • 2020
Without stoppages, a passenger train runs at an average speed of 120 km/h, whereas with stoppages, it runs at an average speed of 80 km/h. What is the total time taken by the train for stoppages on a route of length 480 km?
SSC CHSL • 2020
Mohan covers a distance of 2.5 km by scooter at the rate of 30 km/h. The time taken by Mohan to cover the given distance in minutes is:
SSC CHSL • 2025
If profit earned is 25% of the selling price, what is the profit percentage on cost price?
SSC CGL • 2020
In the given figure, the measure of ∠BAC is: [Image]
SSC GD • 2023
Mohan and Sohan are going from same place at 8 km/h and 9 km/h respectively. If Mohan and Sohan are going in the same direction, then what is the distance between Mohan and Sohan after 4.5 h ?
SSC Selection Post • 2022
Study the given graph and answer the question that follows. [Image] The total rice production of state A in 2016 and 2017 is what percentage of the total rice production of state C in 2018 and 2019?
SSC CGL • 2022
A sum of money was borrowed and paid back in two equal annual instalments of Rs980, allowing 4% compound interest. The sum ( in Rs, to nearest tens) borrowed was :
SSC CGL • 2022
The volume of the hemisphere is 19,404 cm³. The radius of the hemisphere is ___.
SSC CHSL • 2024
Two numbers are, respectively, 30% and 40% more than the third number. The ratio of the second number to the first number is:
SSC CGL • 2024
The price of an item is increased twice successively. The final price is ₹2,295 and initial price was ₹1,000. The percentage increment the second time was twice the percentage increment the first time. By what percentage was the price increased the second…
SSC CGL • 2025
If x = √(2) + 1, find x²- 2.
SSC CHSL • 2023
Two circles with centres A and B touch each externally, PQ is a direct common tangent which touches the circle at P and Q. If the radii of the circles are 9 cm and 4 cm, respectively, then the length of PQ (in cm) is equal to:
SSC GD • 2024
Which of the following number is divisible by 9?
SSC GD • 2024
Ramesh starts from a place J and reaches the place K in 28 hours. He travels 2/5 distance at the speed of 10 km/hr and the remaining distance at the speed of 20 km/hr. What is the distance between J and K?
SSC CHSL • 2023
The bar graph represents the number of challans in 9 states of India. [Image] The percentage of people without a license challan in Delhi is how much higher than that in Uttarakhand and Himachal Pradesh together?
SSC CGL • 2023
For congruent triangles ΔABC and ΔDEF, which of the following statements is correct?
SSC CHSL • 2020
If xSin³θ + yCos³θ = Sinθ Cosθ and xSinθ = yCosθ, then find the value of x² + y².
SSC Selection Post • 2019
What is the discount percentage equivalent to three successive discounts of 12%, 10% and 5%?
SSC CHSL • 2025
If sin(2x + 50)° = cos(2y - 50)°, such that 0° tan(x + y).
SSC CHSL • 2024
Arun and Bhaskar run a race of 3 km. First, Arun gives Bhaskar a head start of 400 m and beats him by 30 seconds. While coming back, Arun gives Bhaskar a lead of 2.5 minutes and gets beaten by 500 m. What is the difference between the times in minutes in…
SSC Selection Post • 2022
A and B run on a circular path of perimeter 1200 m at different speeds. If they start at the same time and from the same place but run in opposite directions, they meet for the first time in 3 minutes. If the speed of B is 10.8 km/h, then what is the speed…
SSC Selection Post • 2023
13 men can complete a work in 7 days. After 3 days, 4 more men joined them. How many days will they now take to complete the remaining work?
SSC CGL • 2022
If the angles of a triangle are (x - 46)°, (x + 96)° and 8x°, then what is the value of 2x?
SSC GD • 2023
A thief is observed by a policeman from a distance of 420 m. The thief starts running and the policeman chases him. The policeman and the thief run at a speed of 25 km/h and 20 km/h, respectively. What is the distance between them after three minutes?
SSC Selection Post • 2023
When 151314 is divided by 15, the remainder is:
SSC MTS • 2022
The sum of 12 numbers is 1080. What is the average of these 12 numbers?
SSC GD • 2019
A bowler has taken 0, 3, 2, 1, 5, 3, 4, 5, 5, 2, 2, 0, 0, 1 and 2 wickets in 15 consecutive matches. What is the mode of the given data?
SSC GD • 2023
A can paint a painting in 12 days. B can paint the same in 8 days. C can paint the same in 10 days. Find the (approximate) number of days in which the painting can be painted by A if he is accompanied by both B and C on alternate days and A starts painting…
SSC CGL • 2023
A man can finish a work in 10 days and a woman can finish it in 12 days. In how many days will the work be finished by a man and a woman, working together every day?
SSC CHSL • 2019
An article having marked price, Rs. 900, was sold for Rs. 648 after two successive discounts. The first discount was 20%. What was the percentage rate of the second discount?
SSC CGL • 2025
If the angle subtended by a chord at the center is 150°, what is the angle subtended at a point on the circle in the same segment?
SSC MTS • 2022
The average of a certain set of 'b' numbers is 'a', and the average of a certain set of 'a' numbers is 'b'. What is the average of all the numbers taken together?
SSC GD • 2024
If 80 percent of total articles are sold at a profit of 20 percent and remaining articles are sold at a loss of 30 percent. then what will be the overall profit percentage?
SSC CHSL • 2023
A sum amounts to Rs.6,120 in 2 years and Rs. 7,340 in 3 years at compound interest. The sum (in) is (rounded off to 2 decimal places)
SSC CGL • 2020
A divisor is 15 times the quotient and 3 times the remainder. If the remainder is 40, find the dividend.
SSC CHSL • 2024
Study the given graph and answer the following question. The graph shows the profit percentage earned by two companies - A and B over a period of six years. [Image] What is the percentage increase in profit percentage of company B in the year 2014 from the…