SSC GD 2019 PYQs

Question 1

What is the value of(3×1500÷40+5÷‌27‌of‌70)?

Accepted Answer

Apply BODMAS: First, solve multiplication and division from left to right. (3 × 1500 ÷ 40) = 112.5. Then, (5 ÷ 27 of 70) = (5 ÷ (27 × 70)) = 5/1890 = 1/378. Finally, add 112.5 + 1/378 = 451/4.

Question 2

Three persons A, B and C started a business with their shares in the ratio 3 : 4 : 5. After 4 months B withdrew his 50% share and C withdrew his 20% share 4 months prior to completion of the year. If total profit in the year is ₹ 31,000 then find the share of A in the profit.

Accepted Answer

Calculate the effective investment for each partner over 12 months. A invests 3 units for 12 months. B invests 4 units for 4 months and 2 units for 8 months. C invests 5 units for 8 months and 4 units for 4 months. Find the ratio of total investments and distribute the profit.

Question 3

A sold an article to B at 25% profit. B sold it to C at a profit of 10% and C sold it to D at 40% loss. If D bought it for ₹ 46.20, then the difference between the profits of A and B is:

Accepted Answer

Let A's cost be x. B paid 1.25x. C paid 1.1 * (1.25x) = 1.375x. D paid 0.6 * (1.375x) = 0.825x. Given 0.825x = 46.20, so x = 56. A's profit = 0.25 * 56 = 14. B's profit = 0.1 * (1.25 * 56) = 7. Difference = 14 - 7 = 7.

Question 4

The differences between the circumference and diameter of a circle is 60 cm, then radius is

Accepted Answer

Let radius be r. Circumference = 2πr, Diameter = 2r. Given 2πr - 2r = 60. Factor out 2r: 2r(π - 1) = 60. Substitute π = 22/7. Solve for r: 2r(22/7 - 1) = 60 => 2r(15/7) = 60 => r = (60 * 7) / (2 * 15) = 14 cm.

Question 5

A is twice as good as a workman as B. And together, they finish a piece of work in 20 days. In how many days, will A alone finish the work?

Accepted Answer

Let B's efficiency be 1 unit/day, so A's is 2 units/day. Total efficiency is 3 units/day. Work = 3 units/day * 20 days = 60 units. A alone takes 60 units / 2 units/day = 30 days.

Question 6

A circle, with radius 8 cm, which has the area equal to the area of a triangle with base 8 cm. Then the length of the corresponding altitude of triangle is:

Accepted Answer

Area of circle = πr². Area of triangle = ½ × base × height. Equate π(8)² = ½ × 8 × height. Solving for height gives 16π cm.

Question 7

The bar chart given below shows the annual production (in 1000 tonnes) of coffee of a country for year 2009 to 2013.What is the percentage increase in the production of coffee in the year 2011 as compared to year 2010?

Accepted Answer

Production in 2010 was 80 (1000 tonnes) and in 2011 was 100 (1000 tonnes). Percentage increase = ((100-80)/80) * 100 = 25%.

Question 8

What is the value of [88 – 44 ÷ (22 × 4) of(‌12−‌14÷‌18)]?

Accepted Answer

First, solve the innermost bracket: 1/2 - 1/4 ÷ 1/8 = 1/2 - 1/4 * 8 = 1/2 - 2 = -3/2. Then, 22 * 4 = 88. The expression becomes 88 - 44 ÷ (88) of (-3/2) = 88 - 44 ÷ (88 * -3/2) = 88 - 44 ÷ (-132) = 88 + 44/132 = 88 + 1/3 = 265/3.

Question 9

The line chart given below shows the production (in 10000s) of cars in 7 different months.Production of cars in month M2 is how much percent more than the production of cars in month M1?

Accepted Answer

From the chart, M1 production is 25 and M2 is 32. The percentage increase is ((32-25)/25) * 100 = (7/25) * 100 = 28%.

Question 10

The product of two numbers is 720. If their Least Common Multiple is 360, then what will be the Highest common Factor of these two numbers?

Accepted Answer

The product of two numbers is equal to the product of their HCF and LCM. So, HCF = Product / LCM = 720 / 360 = 2.

Question 11

Two trains A and B, 186 m and 200 m long are running at 64 km/h and 80 km/h, respectively on parallel tracks. If they are running in the opposite directions, then how much time(in seconds) will a person sitting in the first train A take to cross the other train?

Accepted Answer

The person in train A only needs to cross the length of train B. Calculate relative speed (64+80) km/h, convert to m/s. Time = Distance (200m) / Relative Speed.

Question 12

The driver of a mini bus driving at 82 km/hr locates a motor bike 150 m ahead of him. After 20 seconds, the motor bike was 100 m behind the bus. The speed (in km/hr) of the motor bike is:

Accepted Answer

The relative distance covered is 150m (ahead) + 100m (behind) = 250m in 20 seconds. Relative speed = 250m / 20s = 12.5 m/s. Convert to km/hr: 12.5 * (18/5) = 45 km/hr. Motorbike speed = Bus speed - Relative speed = 82 - 45 = 37 km/hr.

Question 13

The average monthly income of P and Q is Rs. 20,000. The average monthly income of Q and R is Rs. 40,000. Monthly income of R is how much more than monthly income of P?

Accepted Answer

Total income of P+Q = 2*20000 = 40000. Total income of Q+R = 2*40000 = 80000. Subtracting the first from the second gives (Q+R) - (P+Q) = R-P = 80000 - 40000 = 40000.

Question 14

The area of an equilateral triangular park is equal to 5√3 times the area of a triangular field with sides 18 m, 80 m, and 82 m. What is the side of the triangular park?

Accepted Answer

First, calculate the area of the triangular field using Heron's formula. The sides 18, 80, 82 form a right-angled triangle (18^2 + 80^2 = 82^2). Area = 0.5 * 18 * 80 = 720 sq m. The park's area is 5√3 * 720 = 3600√3 sq m. For an equilateral triangle, Area = (√3/4) * side^2. Equating, side^2 = 3600 * 4, so side = 120 m.

Question 15

Two cylindrical cans has the base of the same size. The diameter of each is 14 cm. The height of one can is 10 cm and another 20 cm. Find the ratio of their volumes.

Accepted Answer

The volume of a cylinder is πr²h. Since the base (and thus radius) is the same, the ratio of volumes is simply the ratio of their heights, which is 10:20 or 1:2.

Question 16

If ₹3800 is distributed among A,B, C such that A : B = 1 : 2 and B : C = 3 : 5,the find the share of B.

Accepted Answer

Combine ratios A:B=1:2 and B:C=3:5 to get A:B:C = 3:6:10. Total parts are 3+6+10=19. B's share is (6/19) * 3800 = ₹1200.

Question 17

A train can travel 50% faster than a car. Both start from point A at the same time and reach point B, 60 km away from point A, at the same time. On the way, however, the train lost about 12.5 min while stopping at the stations. The speed of the car is:

Accepted Answer

Let car speed be 'v'. Train speed is 1.5v. Train's actual travel time is (60/1.5v) hours. Car's time is (60/v) hours. Train's travel time + stoppage time = Car's time. So, (60/1.5v) + (12.5/60) = (60/v). Solving for v gives 96 km/h.

Question 18

The area of a square and a rectangle are equal. The length of the rectangle is greater than the side of a square by 5 cm and its breadth is less than the side of square by 4 cm. What will be the perimeter of the rectangle?

Accepted Answer

Let square side be 's'. Rectangle length is s+5 and breadth is s-4. Equating areas: s² = (s+5)(s-4). Solving for s gives s=20. Rectangle dimensions are 25 cm and 16 cm. Perimeter = 2(25+16) = 82 cm.

Question 19

What is the value of(14÷49−3÷‌72‌of‌5)=?

Accepted Answer

First, solve 'of': 7/2 of 5 = 35/2. Then, perform divisions: 14/49 = 2/7 and 3 ÷ 35/2 = 6/35. Finally, subtract: 2/7 - 6/35 = 10/35 - 6/35 = 4/35.

Question 20

A sum of 3392 is divided among A, B, C and D such that the ratio for shares of A and B is 2: 5, that of B and C is 3 : 7 and that of C and D is 5 : 8. What is the share of C?

Accepted Answer

Combine the ratios A:B, B:C, C:D to find A:B:C:D. Then, calculate C's share by dividing the total sum by the sum of ratio parts and multiplying by C's ratio part.