Quantitative Aptitude PYQ — Page 437
24,303 questions across SSC exams.
SSC CGL • 2017
The angles of depression of two ships from the top of a light house are 60° and 45° towards east. If the ships are 300 m apart, the height of the light house is:
SSC CGL • 2018
Which of the following statement(s) is/are TRUE? I. 3/71 II. 11/135 > 12/157 > 13/181
SSC CPO • 2025
In a right-angled triangle, where is the orthocenter located?
SSC CGL • 2016
The expression of [Image] is equal to
SSC CGL • 2018
If (1+1/2)(1+1/4)(1+1/6)(1+1/8)(1-1/3)(1-1/5)(1-1/7) = 1+1/x, then what is the value of x ?
SSC CGL • 2022
In a medical transaction, 17 times the cost price is equal to 8 times the sum of the cost price and the selling price. What is the gain or loss percentage?
SSC CPO • 2025
The interior angles of a triangle are in the ratio 2:3:4. What is the measure of the greatest exterior angle of the triangle?
SSC CGL • 2019
A man can row a distance of 900 metres against the stream in 12 minutes and return to the starting point in 9 minutes. What is the speed (km/h) of the man in still water?
SSC CGL • 2020
The average of twenty- five number is 54. The average of the first 13 numbers and that of the last 13 numbers is 52.8 and 62.2, respectively. If the 13th number is excluded, then what is the average of the remaining numbers (correct to one decimal place)?
SSC CGL • 2020
What is the ratio of the number of students who scored 30 or more marks, but below 40 marks to the total number of students in the entrance examination?
SSC CGL • 2018
Two cars A and B travel from one city to another city, at speed of 72 km/hr and 90 km/hr respectively. If car B takes 1 hour lesser than car A for the journey, then what is the distance (in km) between the two cities?
SSC CGL • 2018
Two runners A and B start running at 12 km/hr and 16 km/hr towards each other. They meet after 1 hour and 30 minutes. How far (in km) were they from each other when they started?
SSC CGL • 2019
The graph of the equations 2x + 3y = 11 and x - 2y + 12 = 0 intersects at P(x₁, y₁) and the graph of the equation x - 2y + 12 = 0 intersects the x-axis at Q(x₂, y₂). What is the value of (x₁ - x₂ + y₁ + y₂) ?
SSC CGL • 2020
In △ABC, the bisector of ∠A intersects side BC at D. IF AB = 12 cm, AC = 15cm and BC = 18 cm, then the length of BD is:
SSC CGL • 2018
Centre of two concentric circles is O. The areas of two circles is 616 cm² and 154 cm² respectively. A tangent is drawn through point A on the larger circle to the smaller circle. This tangent touches small circle at B and intersects larger circle at C. What…
SSC CGL • 2016
The sum of three numbers is 252. If the first number is thrice the second and third number is two-third of the first, then the second number is:
SSC CGL • 2022
The value of 0.46̅ + 0.72̅3̅ - 0.39̅ × 0.7̅ is:
SSC CPO • 2025
A cone is cut parallel to its base at half its height. What is the ratio of volumes of the two parts?
SSC CGL • 2018
B starts 4 minutes after A from the same point, for a place at a distance of 7 miles from the starting point. A on reaching the destination turns back and walks a mile where he meets B. If A’s speed is a mile in 8 minutes then B’s speed is a mile in how many…
SSC CGL • 2022
If 2x - y = 2 and xy = 3/2 , then what is the value of x³ - y³/8?
SSC CGL • 2016
On dividing a certain number by 342 we get 47 as remainder. If the same number is divided by 18, what will be the remainder ?
SSC CGL • 2020
Study the given graph and answer the question that follows. Break up for distribution (degree wise) of the employees working in five departments (A, B, C, D and E) in a company [Image] Total number of employees = 3000 The total number of employees working in…
SSC CGL • 2022
The ratio of the incomes of A and B in 2020 was 5:4. The ratios of their individual incomes in 2020 and 2021 were 4 : 5 and 2 : 3, respectively. If the total income A and B in 2021 was Rs. 705600, then what was the income (in Rs.) of B in 2021?
SSC CGL • 2020
An athlete runs an 800 m race in 96 seconds. His speed (in km/h) is:
SSC CGL • 2019
If x = _([Image])and y is the reciprocal of x, then what is the value of (x³ + y³) ?
SSC CGL • 2018
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SSC CGL • 2020
The value of (tan² A + cot²A - 2) - sec² A cosec² A is :
SSC CGL • 2019
A student was asked to find the value of [Image] . His answer was [Image] . What is the difference between his answer and the correct answer?
SSC CGL • 2018
Flight A usually takes 1 hour more than Flight B to travel a distance of 7200 km. Due to engine trouble speed of flight B falls by a factor of 1/6th, so it takes 36 minutes more than Flight A to complete the same journey? What is the speed of Flight A (in…
SSC CGL • 2018
PA and PB are two tangents drawn to two circles of radius 3 cm and 5 cm respectively. PA touches the smaller and larger circles at points X and Y respectively. PB touches the smaller and large circle at point U and V respectively. The centres of the smaller…
SSC CGL • 2017
What is the difference between the total number of females and the total number of males from all the organisations together?
SSC CGL • 2018
Which of the following statement(s) is/are True? I. 1/1×3 + 1/3×5 + 1/5×7 + .....+ 1/11×13 = 12/13 II. 1/1×2 + 1/2×3 + 1/3×4 + ......+ 1/12×13 = 12/13
SSC CPO • 2025
Line L1 passes through the points (2, a) and (5, 6). Line L2 passes through the points (4, 1) and (10, 5). If L1 is parallel to L2, what is the value of a?
SSC CGL • 2019
A and B started their journey from X to Y and Y to X, respectively. After crossing each other, A and B completed the remaining parts of their journey in [Image] and 8 hrs respectively. If the speed of B is 28 km/hrs, then the speed (in km/hrs) of A is ?
SSC CGL • 2016
What is the total monthly income of the family ?
SSC CGL • 2022
The volume of a solid hemisphere is 19,404 cm³. Its total surface area (in cm²) is: (Take π = 22/7 )
SSC CGL • 2018
The distance between the centres of two circles is 24 cm. If the radius of the two circles are 4 cm and 8 cm, then what is the sum of the lengths (in cm) of the direct common tangent and the transverse common tangent?
SSC CPO • 2025
Which of the following is always true if two circles have exactly three common tangents?
SSC CGL • 2019
The given pie chart shows the breakup of total no. of employees of a company working in different offices (A, B, C, D and E) Total no. of employees = 2400 [Image] If 40% of number of employees in office A are shifted equally to office B and E, then what is…
SSC CGL • 2018
What is the value of (3.6×1.62+0.48×3.6)/(1.8×0.8+10.8×0.3-2.16) ?
SSC CGL • 2022
The areas of three adjacent faces of a cuboidal solid block of wax are 216 cm², 96 cm² and 144 cm². It is melted and 8 cubes of the same size are formed from it. What is the lateral surface area (in cm²) of 3 such cubes?
SSC CGL • 2018
In how many years will Rs 2,000 yield Rs 662 as compound interest at 10% per annum compounded annually?
SSC CGL • 2017
By how much percentage is the average number of females from all the organisations together is more than the number of males in organization 'D'?
SSC CGL • 2016
When a number x is divided by a divisor it is seen that the divisor = 4 times the quotient = double the remainder. If the remainder is 80 then the value of x is
SSC CPO • 2025
What is the ratio of the volume of a cone to that of a cylinder having the same base radius and height?
SSC CGL • 2018
4 - Which of the following statement(s) is/are TRUE? I. (0.7)² + (0.07)² + (11.1)² > 123.8 II. (1.12)² + (10.3)² + (1.05)² > 108.3
SSC CGL • 2019
A man starts from his house and travelling at 30 km/hr, he reaches his office late by 10 minutes and travelling at 24 km/hr , he reaches to his offcie late by 18 minutes. The distance (in km) from his house to his office is ?
SSC CGL • 2016
What percent of the total income does the family save
SSC CGL • 2018
If the amount on a certain principal in 3 years at a 12% rate of interest compounded annually is Rs 12,000, then what will be the amount (in Rs) after the 4th year?
SSC CGL • 2019
A vessel contains 32-litre solutions of acid and water in which the ratio of acid and water is 5:3. If 12 litres of the solution is taken out and 7.5 litres of water is added to it, then what is the ratio of acid and water in the resulting solution?