Quantitative Aptitude PYQ — Page 64
24,303 questions across SSC exams.
SSC Selection Post • 2025
If tan(2x)=3/4, where x lies in the first quadrant, find the exact value of tan(6x)
SSC Selection Post • 2025
The price of cooking oil increased by 8%. A family uses 12 litres of cooking oil per month. If the original price was ₹150 per litre, what is the additional annual expenditure (to the nearest Rs.) for the family due to the price hike?
SSC CGL • 2023
A boat covers 35 km downstream in 2 h and covers the same distance upstream in 7 h. Find the speed (in km/h) of the boat in still water
SSC CGL • 2026
If the marks scored by the students in a class test out of 50 then, Find the Median of the following data: [Table]
SSC CGL • 2022
The value of (2 6/7 of 4 1/5 ÷ 2/3 ) × 5 1/9 ÷ ( 3/4 × 2 2/3 of 1/2 ÷ 1/4 ) is:
SSC Selection Post • 2025
Find the square of 19.
SSC Selection Post • 2025
A line passing through M intersects the first circle again at point A and the second circle again at point B. Another line passing through N intersects the first circle again at point C and the second circle again at point D. If ∠ANC = 50° and ∠BMD = 60°…
SSC CGL • 2020
Two positive numbers differ by 1280. When the greater number is divided by thesmaller number, the quotient is 7 and the remainder is 50. The greater number is:
SSC Selection Post • 2025
Which of the following numbers is a perfect square?
SSC CHSL • 2023
What is the value of (1+ cotA + tanA )(sinA - cosA)( (sin A cos A)/(sin³A-cos³A) )?
SSC CGL • 2017
In an exam, the avarage marks obtained by John in English, Maths, Hindi and Drawing were 50. His average marks in Maths, Science, Social Studies and Craft were 70. If the average marks in all seven subjects is 58, his score in maths was
SSC Selection Post • 2025
Find the square root of 0.0324.
SSC CGL • 2019
A tank is in the form of a cuboid with length 12 m. If 18 kilolitre of water is removed from it, the water level goes down by 30 cm. What is the width (in m) of the tank?
SSC Selection Post • 2025
The price of cooking oil increased by 8%. A family uses 12 litres of cooking oil per month. If the original price was ₹150 per litre, what is the additional annual expenditure (to the nearest Rs.) for the family due to the price hike?
SSC CGL • 2025
In triangle ABC, DE is drawn parallel to BC, intersecting AB and AC at D and E respectively. If AD=3, DB=6, and AE=4, find EC.
SSC CGL • 2019
A shopkeeper allows 28% discount on the marked price of an article and still makes a profit of 20%. If he gains Rs 30.80 on the sale of one article, then what will be the cost price of the article?
SSC Selection Post • 2025
What is the square of 71?
SSC Selection Post • 2025
Let a = 2⁴ · 3² · 5 and b = 2² · 3 · 7³. Which of the following is true?
SSC Selection Post • 2025
The average of 5 numbers is 72. The average of the first three is 70, and the last three is 75. What is the third number?
SSC Selection Post • 2025
X and Y make investments of ₹40,000 and ₹60,000, respectively. After one year, the total profit, which includes a 10% interest, amounts to ₹16,000. What portion of this profit does X receive?
SSC CGL • 2016
The average of 7 consecutive numbersis 20. The largest of these numbersis
SSC CGL • 2018
An equilateral triangle ABC is inscribed in a circle as shown in figure. A square of largest possible area is made inside this triangle as shown. Another circle made inscribing the square. What is the ratio of area of large circle and the small circle? [Image]
SSC Selection Post • 2025
Aman and Priya start jogging around a park at the same time and from the same point. Aman takes 20 minutes to complete one lap, and Priya takes 15 minutes. After how many minutes will they meet again at the starting point?
SSC Selection Post • 2025
If sin θ + cos θ = 5/4 and θ is an acute angle, what is the value of sin⁴ θ + cos⁴ θ?
SSC CGL • 2018
In the given figure, O is the centre of the circle. Circle has 3 tangents. If ∠QPR = 45°, then what is the value (in degrees) of ∠QOR ? [Image]
SSC Selection Post • 2025
Rs. x is invested at 14% simple interest and Rs. 2x at 7% compound interest per annum for 2 years. If the difference between the CI and SI is ₹392, what is the value of x?
SSC Selection Post • 2025
How many natural numbers are there between 11²and 12²?
SSC CGL • 2018
In the given figure, triangle PQR is a right angled triangle at Q. If PQ = 35 cm and QS = 28 cm, then what is the value (in cm) of SR? [Image]
SSC Selection Post • 2025
If X = √3 and Y = 3 - √3, then which of the following is true?
SSC Selection Post • 2025
Which of the following fractions is equivalent to 0.75?
SSC Selection Post • 2025
The square root of 169 is:
SSC CHSL • 2024
Find the average of the prime numbers lying between 69 and 92.
SSC CGL • 2018
1 bottle of honey costs Rs 240 but a pack of 4 of the same bottles costs Rs 768. What is the effective discount (in %) on the pack?
SSC CGL • 2023
There are three taps of diameter 2 cm, 3 cm and 4 cm, respectively. The ratio of the water flowing through them is equal to the ratio of the square of their diameters. The biggest tap can fill an empty tank alone in 81 min. If all the taps are opened…
SSC Selection Post • 2025
Which of the following statements is true about a rhombus?
SSC Selection Post • 2025
The average of 5 numbers is 62. Four of the numbers are 58, 65, 60, and 67. Find the missing number.
SSC Selection Post • 2025
What is the principal if the simple interest at 10% for 4 years is ₹800?
SSC CGL • 2025
If cos27° = p/q , then find the value of cosec27° - cos63°
SSC Selection Post • 2025
A positive number exceeds its square root by 132. Find the number given that it is also a multiple of 12.
SSC Selection Post • 2025
A 15% drop in the price of sugar allows a customer to purchase 2 kg more for ₹272. What is the new price of sugar per kg?
SSC Selection Post • 2025
The average of ten numbers is 42. The average of the first four numbers is 38, while the average of the last three numbers is 48. What is the average of the remaining three numbers?
SSC Selection Post • 2025
Match the concepts in Column I with their corresponding properties in Column II: [Table]
SSC CGL • 2020
(sec A(sec A + tan A)(1 - sin A))/((cosec² A-1)sin² A) is equal to:
SSC CGL • 2023
A pyramid has an equilateral triangle as its base, of which each side is 8 cm. Its slant edge is 24 cm. The whole surface area of the pyramid (in cm ²) is:
SSC Selection Post • 2025
The mean of five consecutive odd numbers is 61. What is the smallest of these numbers?
SSC CGL • 2020
If 3 sin x + 4 cos x = 2, then the value of 3 cos x - 4 sin x is equal to:
SSC CHSL • 2023
The concentrations of three wines A, B and C are 10%, 20% and 30%, respectively. They are mixed in the ratio 2 : 3 : x resulting in a 23% concentration solution. Find the value of x.
SSC CHSL • 2024
In a triangle PQR, incentre is A and ∠QAR = 116°. Find the measure of ∠QPR.
SSC CGL • 2018
Giving two successive discounts of 25% is equal to giving one discount of ____%.
SSC Selection Post • 2025
The average age of 5 friends is 24 years. If two new friends join the group, with one aged 25 years and another aged 30 years, what will be the new average age of the expanded group?