Quantitative Aptitude PYQ — Page 427
24,303 questions across SSC exams.
SSC Selection Post • 2024
Simplify the following expression: (0.7²dotplus ( 0.4+ 0.2 )+ ( 0.4× 0.2 ))/( ( 0.7+0.4 + 0.2 ))
SSC Selection Post • 2024
The length of the cold storage of cuboidal shape is double its breadth, and its height is half of its breadth. If its volume is 216 m³, then what are the dimensions of the cold storage?
SSC CGL • 2019
If sin θ = 4 cos θ, then what is the value of sin θ cos θ?
SSC CGL • 2022
In the given figure, a circle is inscribed in △PQR, such that it touches the sides PQ, QR, and RP at points D, E, and F respectively. If the lengths of the sides PQ = 15 cm, QR = 11 cm, and RP = 13 cm, then find the length of PD. [Image]
SSC GD • 2021
If the height of a right circular cone is 24 m and its slant height is 30 m, then what is the area of its curved surface? (Use π = 22/7)
SSC CHSL • 2023
In a triangle OPQ, right-angled at P, OP = 7 cm and OQ - PQ = 1 cm. Determine the values of sin Q + cos Q.
SSC GD • 2019
A sum of Rs. 11700 becomes Rs. 16848 in 2 years at the rate of compound interest. If the interest is compounded annually, then what will be the rate of interest?
SSC CGL • 2023
The value of (p²-(q-r)²)/((p+r)²-q²)+(q²-(p-r)²)/((p+q)²-r²)+(r²-(p-q)²)/((q+r)²-p²) is:
SSC CGL • 2025
What is the smallest number that must be added to 2378 to make it a perfect square?
SSC CGL • 2025
If 30% of m is equal to 18% of n, what is the ratio m:n?
SSC Selection Post • 2019
This bar chart shows the income and expenditure (in crores of rupees) of a company during 5 years from 2014 to 2018. [Image] In which year the ratio of income and expenditure is the highest?
SSC CGL • 2020
34/7 ÷ 21/2-53/7+33/8of44/3 = ?
SSC CGL • 2024
Amit and Bilal buy goods for ₹1,500 and ₹2,000, respectively. Amit marks his goods up by y%, while Bilal marks his goods up by 2y% and offers a discount of y%. If both make the same profit, then find the value of y.
SSC CHSL • 2024
A shopkeeper cheats 25% in weight while buying rice and cheats 25% while selling it. If he sells the rice at 121/2% profit, then find his net
SSC CGL • 2023
Jehangir had to cover a distance of 90 km in an hour. During the first 25 minutes, he travelled at a speed of 15.2 metres per second. How many metres did Jehangir cover per second during the remaining period to reach his destination just on time?
SSC CHSL • 2023
Simplify the following expression. 0.01 + 0.68 × 0.68 + 0.22 × 0.22 + 0.044 + 0.136 + 0.44 × 0.68
SSC Selection Post • 2023
Ajay offers his customers a discount of 20% on an overcoat, and he still makes a profit of 28%. What is the actual cost of the overcoat marked at ₹1,800?
SSC Selection Post • 2024
The price of an item is increased by 15%, and then the price is decreased by 12%. What is the effective percentage increase in the price of the item?
SSC CGL • 2020
If the ratio of male and female students specializing in B is 4 : 3 and that of male and female students specializing in D is 8 : 7, then the number of female students in D is what percent less than the number of male students in B (correct to one decimal…
SSC CGL • 2023
The pass percentage of an examination is 35%. If a student who got 210 marks, failed by 14 marks, then what are the maximum marks of the examination?
SSC CGL • 2025
Find the value of x in the given equation: (√(7+x) + √(7-x))/(√(7+x) - √(7-x))=4
SSC CGL • 2025
If P : Q = 5 : 8, Q : R = 3 : 2, and R : S = 6 : 7, find the ratio P : S.
SSC CHSL • 2025
If tan A = 1/√3, find sin A and cos A.
SSC CGL • 2025
Simplify: √((7 + 4√(3)))
SSC Selection Post • 2022
In ΔABC, ∠A = 48°. AB and AC are produced to points D and E, respectively. If the bisectors of ∠CBD and ∠BCE meet at a point O, then ∠BOC is equal to:
SSC Selection Post • 2022
A and B can complete a piece of work in 12 days and 18 days, respectively. A begins to do the work and they work alternately, one at a time, for one day each. The whole work will be completed in ____.
SSC CGL • 2018
In the given figure, if AD = 12 cm, AE = 8 cm, and EC = 14 cm, then what is the value (in cm) of 3BD? [Image]
SSC Selection Post • 2022
In equilateral ΔABC, E is a point on side AC such that AE = AD, where D is the midpoint of BC. What is the measure of ∠EDC?
SSC CGL • 2021
If 4x⁴ - 37x² + 9 =0, x> √ 3/2 ,then what is the value of 8x³ - 27/(x³) ?
SSC CGL • 2020
The following table shows the production of fertilizers (in lakh tone) by six companies for 5 months (January to May). [Table] There a continuous decrease in production over the months in:
SSC CGL • 2023
A solid cone with curved surface area twice its base area has slant height of 6√3 cm. Its height is :
SSC Selection Post • 2022
A man sold an article for ₹9,700 and earned a profit of 25%. What would have been his profit or loss per cent (to the nearest integer), had he sold it for ₹8,400?
SSC CGL • 2025
What is the value of √(9801) - √(1681) ?
SSC CGL • 2025
Solve: √((7 × 447 ÷ 21 + 73 - 26))
SSC CHSL • 2022
Simplify the following expression. 91/5÷ { 161/5÷ 122/3-92/3+171/2 \ of \ 31/21 }
SSC Selection Post • 2023
What sum of money amounts to Rs. 2,600 in 2 years and to Rs. 2,700 in 3 years at a fixed rate of simple interest annually?
SSC CGL • 2022
The table given below shows the marked price and value of discount of 7 articles. [Table] What is the average marked price of all the articles?
SSC CGL • 2022
Who scored the least marks in aggregate of all subjects? [Image]
SSC Selection Post • 2024
There are two types of rice. Type 1 rice costs ₹20 per kg and type 2 rice costs ₹25 per kg. Both the rice are mixed in the ratio 2 : 3. Find the cost (in ₹) of the mixed rice per kg.
SSC GD • 2021
The smallest number which when divided by 8 and 14 leaves remainders 5 and 11, respectively is:
SSC CHSL • 2023
If cot A + cos A = p and cot A - cos A = q, then which of the following relations is correct?
SSC CGL • 2019
If a + 1/a = 3, then (a⁴ + 1/a⁴) is equal to:
SSC CHSL • 2020
Study the following graph and answer the question based on the graph. [Image] How many teachers are aged 45 years or more but less than 50 years?
SSC CHSL • 2023
How many cars assembled by machine C were accepted?
SSC CHSL • 2021
What is the value of x, if 25% of 480 + 30% of 500 + x% of 90 = 35% of 900?
SSC GD • 2021
A certain sum amounts to ₹17,925 in 3 years and to ₹21,825 in 7 years at the same rate percent per annum at simple interest. What will be the simple interest (in rupees) on a sum of ₹18,500 for 4 (2/5) years at double the earlier rate?
SSC CHSL • 2023
Aman decided to cover a distance of 12 km in 78 minutes. He decided to cover the initial two-third of the distance at 10 km/h and the remaining at some different speed. Find the speed for the last one-third of the distance.
SSC Selection Post • 2022
A car travels a certain journey at 40 km/h and an equal distance more at 60 km/h. The average speed for the whole journey is:
SSC CHSL • 2024
Which of the following course had either a consistent growth or a consistent decline in the admissions from 2015 to 2020?
SSC CGL • 2021
The average height of some students in a group is 156 cm. If 5 students of average height 160 cm join the group, then the average height of all the students in the group increases by 0.8 cm. What is the number of students in the group, initially?