Quantitative Aptitude PYQ — Page 355
24,303 questions across SSC exams.
SSC CGL • 2019
The efficiencies of A, B and C are in the ratio 5 : 3 : 8. Working together they can complete a work in 30 days. A and B worked together for 20 days. The remaining work will be completed by C alone in:
SSC CHSL • 2020
In the given figure, chords AD and BC in the circle, are extended to E and F, respectively. [Image] If ∠CDE = 85ᵒ; ∠DCF = 94ᵒ, then the value of ∠EAB is:
SSC CHSL • 2021
If a² + 4b² + 25c² + 18 = 2(a + 2b + 20c), then what is the value of (a + 2b + 5c)?
SSC Selection Post • 2024
If 8 men or 16 women or 32 boys can do a piece of work in 8 months, then in how many months can 4 men, 4 women and 4 boys together complete the work?
SSC CGL • 2019
Renu bought an article for Rs. 1,240 and sold it at a loss of 25%. With this amount, she bought another article and sold it at a gain of 40%. Her overall percentage profit is:
SSC CHSL • 2025
From a point P outside a circle, two tangents PA and PB are drawn. If the length of PA is 7 units, what is the length of PB?
SSC CGL • 2021
If x is a real quantity, what is the minimum value of (25 cos²x + 9 sec²x)?
SSC CHSL • 2022
The Table below provides information about the distribution of students from three different schools who are enrolled eith three different coachin centres in a town [Table] 35% of the students in coaching centre R are female. 20% of the female students…
SSC CHSL • 2021
Study the following bar graph and answer the question given below. The bar graph represents the total number of applications received for B.Sc. Mathematics by two different colleges A and B in 5 different years. [Image] Find the difference between the…
SSC CHSL • 2020
If a - b = 4 and a³- b³ = 88, then find the value of a² - b².
SSC CGL • 2022
What is the ratio between the HCF and LCM of the numbers whose LCM is 48 and the product of the numbers is 384?
SSC CHSL • 2025
If sec(θ)=cosec(42°), what is the value of θ?
SSC CGL • 2019
If (1 + tan²x) + (1+ (tan²x)⁻¹) = k, then √k=?
SSC CGL • 2025
A and B invested ₹60,000 and ₹40,000, respectively, for 12 months. A take 10% of the profit for managing. The remaining profit of Rs. 90,000 is divided based on capital. What is B’s share?
SSC CGL • 2024
Study the given pie chart carefully and answer the question that follows. The given pie chart depicts the expenditure incurred towards different hobby classes of an institute. [Image] If the total expenditure is ₹10,70,000, then find the central angle of the…
SSC CGL • 2020
The given table represents the number of engineers recruited by four companies A, B, C and D over the years. Study the table carefully and answer the question that follows. [Table] The number of the years in which the number of engineers recruited by company…
SSC CGL • 2019
If tan²θ – 3sec θ + 3 = 0, 0°<θ<90°, then the value of sin θ + cot θ is:
SSC CGL • 2025
D and E start a business with equal investments. After 4 months, D adds Rs. 10,000 more. At the end of 1 year, if the total profit is Rs. 33,000, and E's share is Rs. 15,000, what was their initial investment?
SSC CHSL • 2025
A and B are jogging around a 2 km circular track. They start from the same point and run in opposite directions. A's speed is 8 km/h and B's speed is 12 km/h. At what time will they meet for the tenth time if they start at 7:00 a.m.?
SSC MTS • 2019
A bus covers first 200 km of a journey in 4 hours and the next 600 km in 6 hours. What is the average speed of the bus for the whole journey?
SSC CGL • 2023
The third proportion between 25 and 35 is:
SSC CGL • 2019
The curved surface area and the volume of a cylinder is 264 cm²and 924 cm³, respectively. What is the ratio of its radius to its height? (Take π = 22/7)
SSC GD • 2021
The capacities of two hemispherical vessel are 2.7 litres and 12.5 litres. Find the ratio of the areas of the inner curved surface of the vessels.
SSC Selection Post • 2019
By selling an article at 9/11 its actual selling price, a trader incurs a loss of 10%. What will be the profit percentage, if the article is sold for 5% less than its actual selling price
SSC Selection Post • 2024
If (x + y + z) = 23 and x² + y² + z² = 179, then find the value of (xy + yz + zx).
SSC CGL • 2019
In a ΔABC, the bisectors of ∠B and ∠C meet at point O, inside the triangle. If ∠BOC = 122°, then the measure of ∠A is:
SSC CHSL • 2019
A purchased two articles for Rs. 200 and Rs. 300 respectively and sold at gains of 5% and 10% respectively. What was his overall gain percentage?
SSC CGL • 2021
A T.V. is sold at 8% gain. Had it been sold for Rs. 2553 less, there would have been loss of 15%. To gain 18% the selling price (in Rs.) of T.V. would be:
SSC CGL • 2019
Two articles are sold for Rs. 5,104 each. On one, the seller gains 16% and on the other, he loses 12%. What is his overall gain percent, nearest to two decimal places?
SSC CHSL • 2025
(0.081-0.006)/(0.91+0.05+0.01)=?
SSC GD • 2021
An iron is bought for ₹ 210. Decide its MRP so that after a discount of 5%, you still gain 90%.
SSC CGL • 2020
The average of twelve numbers is 45.5. The average of the first four numbers is 41.5 and that of the next five numbers is 48. The 10^(th) number is 4 more than the 11^(th) number and 9 more than the 12^(th) number. What is the average of the 10^(th) and…
SSC Selection Post • 2019
Expenses (in multiples of ₹10,000/-) on consumption of fuel for the official car at a regional office (RO) of a national organization during 2006-2010 are given below in a tabular form along with the National Averages (NA) during the said period. It is given…
SSC Selection Post • 2022
The fourth proportional of 24, 32 and 36 is:
SSC CHSL • 2023
What is the value of (5/2div2/5× 1/5-1/5div3/5times5/2)/(2/5div1/5-1/2times5/2÷ 25/4+1/2div2/5× 1/5) ?
SSC CGL • 2022
Some students (only boys and girls) from different schools appeared for an Olympiad exam. 20% of the boys and 15% of the girls failed the exam. The number of boys who passed the exam was 70 more than that of the girls who passed the exam'. A total of 90…
SSC GD • 2019
After giving a discount of 25%, a shopkeeper earns 40% profit. Marked price is what percent more than the cost price?
SSC Selection Post • 2022
A shopkeeper bought 56 dozen eggs at ₹2.50 per egg. 120 eggs broke in transportation. He sold the remaining eggs at ₹2.75 each. What is the profit or lost per cent?
SSC GD • 2021
Find the value of [52 - 4 of (17 -12) + 4 × 7] ÷ [30 ÷ 15 × 5].
SSC CGL • 2025
If a³ + b³ = 35 and ab = 6, find the value of a + b.
SSC CGL • 2023
X and Y can complete a work in 9 days and 36 days, respectively. X 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 • 2021
If x is subtracted from each of 24,40,33 and 57, the number ,so obtained are in proportion . The ratio of (5x + 12) to (4x + 15) is :
SSC CGL • 2023
A policeman chasing a thief is 0.5 km behind the thief. The speed of the thief is 80% of the speed of the policeman and the policeman catches him in 12 minutes. What is the speed of the thief (in km/h)?
SSC CHSL • 2025
If a solid sphere is cut into two equal hemispheres, by what percentage is the total surface area increased?
SSC CGL • 2021
Table shows District-wise data of the number of primary school teachers posted in schools of a city. Study the table and answer the question: [Table] What is the average number of female teachers in the five districts?
SSC Selection Post • 2020
If (a + b) : (b + c) : (c + a) = 5 : 12 : 11, and a + b + c = 28, then 1overa : 1overb : 1overc is equal to:
SSC CGL • 2025
An investment is made in a business. In the first year, it gains 25%, in the second year, it loses 20%, and in the third year, it gains 10%. What is the overall gain or loss percentage?
SSC Selection Post • 2024
Which number should be added to 3, 11, 4 and 14 to make them in proportion?
SSC CGL • 2022
If the price of petrol is increased by 28%, by what percentage should the consumption be decreased by the consumer, if the expenditure on petrol remains unchanged? (Correct to 2 decimal places)
SSC CGL • 2025
If ₹5000 amounts to ₹6050 over 2 years with compound interest, what is the annual interest rate?