Quantitative Aptitude PYQ — Page 346
24,303 questions across SSC exams.
SSC CHSL • 2022
Find the third proportional to 27 and 18.
SSC CGL • 2023
P gives Q a head-start of 2 seconds in a 400 m race, but both finish the race at the same time. Find the time taken by P to finish the race if the speed of Q is 2 m/sec.
SSC CGL • 2025
At what rate of simple interest will ₹2,000 become ₹2,520 in 4 years?
SSC Selection Post • 2023
Sanjib's salary was initially reduced by 50% and then boosted by 50%. What percentage of his salary does he lose?
SSC CHSL • 2025
The areas of two similar triangles are in the ratio of 121:36. If the perimeter of the larger triangle is 55 units, what is the perimeter of the smaller triangle?
SSC CHSL • 2023
If A, B, C are the acute angies, such that tan(A + B - C) = 1/(sqrt3) , cos(B + C - A) = 1/2 , and sin(C + A - B) = 1/(sqrt2) . The value of A + B + C will be equal to:
SSC CGL • 2025
A person invested ₹20,000 in two different schemes. He invested one part for 4 years at 8% simple interest and the other part for the sarne duration at 10% simple interest, if the interest earned from the second part was ₹2,240 more than the interest earned…
SSC CHSL • 2024
The ratio of the diameters of two spheres is given as 1 : 4. The larger sphere is melted and 125 identical spheres are made out of the molten material. The smaller sphere is melted and 27 identical spheres are made out of the molten material. If the ratio of…
SSC CGL • 2025
A rectangular field has an area of 600 square meters. If its length were increased by 10 meters and its width decreased by 2 meters, the area of the field would remain the same. Find the original dimensions (length and width) of the field.
SSC CHSL • 2023
The Pie chart shows the percentage distributions of total number of laptops (both Dell and HP) sold by six stores in March. Refer to the pie chart and table carefully and answer the given questions. Total number = 11200 [Image] What is the ratio of the…
SSC CGL • 2023
A shopkeeper uses 940 gm of weight in place of one kg of weight. He sells it at 4% profit. What will the actual profit percentage be? (rounded off to two decimal places)
SSC GD • 2019
Selling price and cost price of a book are in the ratio of 3 : 4. What will be the profit/loss percentage?
SSC CHSL • 2023
If the triangle ABC and PQR are similar and if ∠A =35°, ∠ B=65° then ∠ R=_____.
SSC CHSL • 2025
Simplify: 1/2 ( 3/4 + 1/4 ) ÷ 1/3
SSC CHSL • 2023
If a : b = 3 : 7, then (2a + 3b) : (3a + 2b) is:
SSC CGL • 2022
In a triangle ABC, Point P and Q are on AB and AC, respectively, such that AP = 4cm, PB = 6cm, AQ = 5cm and QC = 7.5cm. If PQ = 6cm, then find BC (in cm).
SSC CHSL • 2019
If x is real, and x⁴ – 5x² – 1 = 0, then the value of x⁶ – 3x² + 3/x² – 1/x⁶ + 1 is:
SSC CGL • 2025
A farmer's land is two adjoining trapezoids: T1 with bases 70m & 50m, height 20m; T2 with bases 50m & 30m, height 15m. Land costs ₹60/m². What is the total land cost?
SSC Selection Post • 2022
If P = x²-100 over x²-16 and Q = x +10 over x-4 , then the value of P over Q is:
SSC CGL • 2024
The following table shows the expenditure of a factory (in ₹ lakh) per annum on different heads over the given years. [Table] What was the average expenditure (in ₹ lakh) on transport per year that the factory had to pay during the given period?
SSC Selection Post • 2022
In what ratio must a grocer mix two varieties of pulses costing Rs. 72 and Rs. 96 per kg, respectively, so as to get a mixture worth Rs. 83 per kg?
SSC GD • 2019
Mohit starts moving from a place A and reaches the place B in 12 hours. He covers (1/5)^(th)part of the total distance at the speed of 6 km/hr and covers the remaining distance at the speed of 8 km/hr. What is the distance between A and B?
SSC CGL • 2022
If (x + 6y) = 8, and xy = 2, where x > 0, what is the value of (x³ + 216y³)?
SSC CGL • 2024
Aman has certain number of notes of denomination ₹20 and ₹10 which amount to ₹390. If the numbers of notes of each kind are interchanged, then the new amount is ₹90 less than before. Find the number of notes of ₹20 denomination.
SSC Selection Post • 2022
A sum of ₹2,400 is divided among A, B, and C such that A receives 25% less than B and B receives 20% less than C. The ratio between A's amount and B's amount is:
SSC CHSL • 2021
Points A, B, C and D are concyclic points of a circle with centre O, such that ∠DOC = 73ᵒ. The measure of ∠ABC is 215ᵒ. What is the measure of ∠AOD?
SSC CHSL • 2022
Anil offers his customer a discount of 15% on a T-shirt and he still makes a profit of 25%. What is the actual cost of the T-shirt marked ₹500?
SSC CHSL • 2024
A solid metallic sphere of radius 6 cm is melted and recast into spherical balls of radius 3 cm. The number of spherical balls thus obtained is:
SSC Selection Post • 2022
The algebraic expression 25x² + 16y² + 9z² - 40xy + 24yz - 30zx is equal to:
SSC CGL • 2024
An article marked for ₹275 is sold at 5% discount. The seller still gains 4.5%. What did he pay for it?
SSC Selection Post • 2023
The area of the triangle whose sides are 3 cm, 5 cm, and 6 cm is:
SSC CHSL • 2024
In an election between two candidates, 15% of the votes were invalid and one candidate got 52% of the total valid votes. If the total number of votes was 8000, what was the number of valid votes that the other candidate got?
SSC GD • 2021
A, B and C can complete a work in 60, 30 and 20 days, respectively. In how many days can A complete the work if he is assisted by B and C together on every fifth day?
SSC CGL • 2020
Eight persons can finish a work in 20 days. After 5 days they were requested to complete the work in the next 8 days. How many more persons should join the group to fulfil the requirement?
SSC CHSL • 2025
Simplify: (81³⁄⁴ × (1/27)⁻²⁄³) / ((√32 + √8)² − (√32 − √8)²)
SSC CGL • 2025
At an intersection of two lines, two angles are vertically opposite. If one of the angles measures 45°, what is the measure of the other angle?
SSC Selection Post • 2022
How many numbers are there from 500 to 550 (including both) that are neither divisible by 3 nor by 11?
SSC CGL • 2022
The performance of 1800 students in grades has been shown in the following pie chart. How many more students have obtained grade B than those who have obtained grade C? [Image]
SSC Selection Post • 2023
Raman buys 18 kg of rice at ₹35 per kg and 30 kg of rice at ₹39 per kg. Find the average price (in ₹) per kg of the total rice.
SSC CGL • 2025
A school organized a field trip for 80 students and 8 chaperones. Each student was given a snack pack containing items equal to 20% of the total number of students. Each chaperone received a snack pack with items equal to 30% of the total number of students…
SSC CHSL • 2023
A vertical pillar 42 cm long casts a 35 cm long shadow. At the same time, a tower casts a shadow 25 m long. Find the height of the tower.
SSC CHSL • 2020
In a circle of radius 10 cm, PQ and RS are two parallel chords of lengths 16 cm and 12 cm, respectively. What is the distance between the chords, if they are on opposite sides of the centre?
SSC CGL • 2025
A man has ₹15,000. He lends a part of it to X for 3 years at 10% simple interest and the remaining to Y for 3 years at 12% simple interest. If the total interest received from both X and Y after 3 years is ₹4,950, find the amount lent to X.
SSC CGL • 2022
Which is the smallest multiple of 7, which leaves 5 as the remainder in each case, when divided by 8,9,12, and 15?
SSC CHSL • 2023
How many liters of water can a hemispherical tank of radius 2.1 m contain? (Take π = 22/7 ).
SSC Selection Post • 2022
The average weight of P, Q, and R is 57 kg. If the average weight of Q and R is 60 kg and that of R and P is 59 kg, then the weight (in kg) of R is:
SSC CHSL • 2023
What is the value of (a + b + 2c) (a² + b² + 4c² - ab - 2abc - 2ca)?
SSC CGL • 2019
Sudha saves 15% of her income. If her expenditure increases by 20% and savings increase by 60%, then by what percent has her income increased?
SSC Selection Post • 2023
Sonam purchased a mobile phone for ₹27,000 and sold it at a loss of 19%. With that money, she purchased a Tablet and sold it at a gain of 20%. What is her overall gain or loss?
SSC CGL • 2025
Table - Weekly Fuel Usage (Litres) [Table] Q: What is the overall average daily fuel usage for both trucks?