Quantitative Aptitude PYQ — Page 219
24,303 questions across SSC exams.
SSC CHSL • 2021
Raghav spends 80% of his income. If his income increases by 12% and his expenditure increases by 17.5%, then what is the percentage decrease in his savings?
SSC CGL • 2022
If cos B = 5/7, what is the value of cosec B + cot B? Given that 0 < B < π/2
SSC GD • 2023
A man purchased two items at the same price and sold one at a profit of 15% and the other at a loss of 5%. If the difference between the two selling prices is ₹80, then what is the cost price of one item?
SSC CHSL • 2022
The expenses of a family on wheat, vegetables and oil are in the ratio 12 : 8 : 5. The prices of these items increased by 50%, 25% and 40%, respectively. The total expenses of the family on these items increased by:
SSC CGL • 2019
If a² + b² + c² = 21 and a + b + c = 7, then (ab + bc + ca) is equal to:
SSC CHSL • 2025
A circle is inscribed in ΔPQR touching the sides QR, PR and PQ at the points S, U and T, respectively. PQ = (QR + 5)cm, PQ = (PR + 2)cm. If the perimeter of ΔPQR is 32 cm, then PR is equal to:
SSC GD • 2019
‘A’ pipe can empty a tank in 20 minutes. The second pipe ‘B’ has a diameter twice as that of ‘A’. If both A & B pipe are attached to the tank how much time will be required to empty the tank ?
SSC CHSL • 2022
A solid toy is in the shape which is a combination of a cylinder, cone and a hemispherical bowl. The cylinder contributes to 50% of the total volume of the toy, the cone contributes to 20% of the volume. Find the ratio of the contribution (in terms of…
SSC CGL • 2022
If a + b + c = 11 and ab + bc + ca = 28, then find the value of a³ + b³ + c³ - 3abc.
SSC CHSL • 2024
A dozen pairs of gloves of Rs. 180 are available at a discount of 10%. How many pairs of gloves can be bought for Rs. 54?
SSC GD • 2021
A sum of ₹ x is divided between A, B & C such that the ratio of shares of A and B is 3 : 5 and that of 4 : 7. If the difference between the shares of B & C is ₹ 1455, then the value of x is:
SSC CHSL • 2023
Find the third proportional to 8 and 20.
SSC GD • 2025
If 2% of x = 300, then x is equal to
SSC MTS • 2019
In a bag, the ratio of 2 rupee, 1 rupee and 50 paise coins is 3 : 4 : 5.If the total amount in the bag is Rs. 250, then how many 1 rupee coins are there?
SSC GD • 2023
In the given figure three circles, each of radius 3.5 cm are placed in such a way that each circle touches the other two. The area of the portion enclosed by the circles is: (Up to two decimal places) [Image]
SSC CHSL • 2024
∆ABC ~ ∆EDF and area(ΔΑΒC):area(∆EDF) = 1 : 4. If AB = 7 cm, BC = 8 cm and CA = 9 cm, then DF is equal to:
SSC CGL • 2024
In an election between two candidates, P received 42% of the valid votes and Q won by 45,360 votes. 20% people did not cast their vote. If 10% of the votes cast were found invalid, what is the total number of votes registered in the poll booth?
SSC CGL • 2025
The average of three numbers is 35. The first number is 20% more than the second, and the third is 20% less than the second. What is the second number?
SSC MTS • 2022
The ratio of A and B in an alloy is 2 : 5. If the alloy is made of only A and B, how much amount of B will be there in 210 kg of that alloy?
SSC Selection Post • 2024
If 28 men can do a piece of work in 26 days, then in how many days will 13 men do it?
SSC CHSL • 2023
The value of (sin 58°)/(cos32°) + (sin55° sec35°)/(tan5° tan 45 °tan85°) is equal to:
SSC CHSL • 2023
If tanθ + secθ = a, then what is secθ equal to :
SSC CHSL • 2024
In an election, a candidate secures 40% of the votes, but is defeated by the only other candidate with a majority of 298 votes. Find the total number of votes recorded.
SSC CHSL • 2025
The average marks of 30 students is 55. If one student who scored 40 is replaced by another who scored 70, what will be the new average?
SSC GD • 2026
An article is sold for 40 percent profit. The value of discount given is equal to (5/14) of the marked price. Cost price of the article is how much percent less than its marked price?
SSC GD • 2025
Find the average of 309, 125, 90, 45, 125 and 104.
SSC CGL • 2022
sin⁴θ + cos⁴θ in terms of sinθ can be written as:
SSC GD • 2023
Ramu and Mohan can separately complete a work in 10 hours and 16 hours, respectively. After working for 2 hours together, Mohan leaves the work. In how many hours will Ramu finish the remaining work?
SSC CGL • 2025
Two circular pizzas have radii in the ratio 2:3. If the smaller pizza has an area of 100π cm², what is the area of the larger pizza?
SSC GD • 2021
The Perimeter of circular garden is 506 m. The cost (in Rs.) of levelling is at Rs. 14/m² is: (Take π=22/7 )
SSC CGL • 2025
A hemisphere, cone, and cylinder have the same base radius and equal volumes. If the height of the cylinder is h, find the height of the cone.
SSC CHSL • 2024
P pays Q a sum of Rs 150 using coins of Rs 2, Rs 5, and Rs 10. He uses a total of 50 coins. If the ratio of Rs 2 and Rs 5 coins used is 5 : 2, then how many coins of Rs 10 are used in the payment?
SSC CGL • 2020
The greatest number which should be replace ‘*’ in the number 146*48 to make it divisible by 8 is:
SSC Selection Post • 2020
The value of 2over5 ÷ 3over10 of 4over9 − 4over5 × 1 1over9 ÷ 8over15 − 3over4 + 3over4 ÷ 1over2 is ?
SSC MTS • 2022
The HCF and the LCM of two numbers are 35 and 840, respectively. If the ratio of the two numbers is 3 : 8, then the smaller of the two numbers is:
SSC GD • 2025
When x is subtracted from each of 55, 50, 23 and 22, the resulting numbers, in this order, are in proportion. What is the fourth proportion of 3, 7 and x?
SSC CHSL • 2021
The simple interest on a certain sum for 3 and half years at the rate of 10% per annum is ₹2,940. What will be the compound interest (in ₹) on the same sum for 1 and half years at the same rate when interest is compounded half-yearly (nearest to a rupee)?
SSC GD • 2023
A cone of height 8 cm and base radius 4 cm is carved from a rectangular block of wood 8 cm × 6 cm × 4 cm. The percentage of wood wasted is approximately:
SSC GD • 2021
A car takes 4 hours to cover a distance if it travels at a speed of 60 km/h. What should be its speed (in km/h) to cover the same distance in 1.5 hours?
SSC CHSL • 2022
Study the given table and answer the question that follows. The table shows the number of different drinks purchased by customers in three different seaons. [Table] Which of the following is the most favourite drink of the people in winter?
SSC CHSL • 2020
Study the graph and answer the following question. [Image] How many students spend 5 hours or more than 5 hours in playing mobile games per day?
SSC Selection Post • 2024
A city’s population grows by 10% in the first year, 20% in the second year, and 10% in the third year. If the population after 3 years is 8,71,200, then what was the original population 3 years ago?
SSC CGL • 2024
If 7845K854 is divisible by 11, then what is the value of K?
SSC CHSL • 2020
If a and b are two positive real numbers such that a + b = 20 and ab = 4, then the value of a³ + b³ is:
SSC GD • 2024
When the price of an article was reduced by 40% its sale increased by 60%. What was the net effect on the sale?
SSC CGL • 2019
The value of (5 + 3 ÷ 5 × 5) ÷ (3 ÷ 3 of 6) of (4 × 4 ÷ 4 of 4 + 4 ÷ 4 × 4) is:
SSC CGL • 2020
In the following table, the production of various crops(in tonnes) is given from 2015 to 2019. Study the table and answer the questions that follow. [Table] The difference (in tonnes) between the average production of barley and average production of rice is :
SSC CGL • 2021
In a circle with centre O, AB and CD are parallel chords on the opposite sides of a diameter. If AB = 12 cm, CD = 18 cm and the distance between the chords AB and CD is 15 cm, then find the radius of the circle (in cm).
SSC Selection Post • 2023
The given bar graph shows the results of students in a college. Study the graph and answer the question that follows. [Image] Find the average number of students who failed in the college in the last 5 years, as per the given data.
SSC Selection Post • 2022
What is the amount (in ₹ ) on a sum of ₹5,120 at 15% per annum for 2 1/2 years, if the interest is compounded 10- monthly?