SSC CGL 2024 09th September 2024 Shift 2 tier 1 solution

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00:00 Intro • 01:53 Q1 Profit and Loss : Madhav purchased an item for ₹42,000 and sold it at a loss of 20%. With that amount, he purchased another item and sold it at a gain of 30%. What is the overall gain (in ₹)? • 03:43 Q2 Mensuration : What is the volume (in cm³) of a cylinder if the radius of the cylinder is 8 cm and the height is 14 cm? (Take π = 22/7 ) • 05:43 Q3 Ratio (age) : Seven years ago, Prachi was four times as old as her daughter was at that time. Four years from now, Prachi will be two-and-a-half times as old as her daughter would then be. Find the sum of the present ages (in years) of Prachi and her daughter. • 08:13 Q4 Geometry : From a circle with the radius of 15.75 cm, a sector with the arc length of 11 cm is cut off. Find the area (in cm2) of this sector. • 12:53 Q5 Algebra : • 14:03 Q6 Trigonometry : What is the value of sec(t), if tan(t) = 1/3? • 14:53 Q7 Geometry : The points P and S are on the same side of the line segment QR, such that ∠PQR = 90°, angle ∠ SRQ = 90° and PQ = SR. Select the correct statement. • 18:33 Q8 Profit and Loss: The marked price of an article is 26% more than its cost price. If a discount of 32% is given, what will be the loss percentage? • 20:43 Q9 Algebra : Simply the following, where A is an acute angle. • 21:43 Q10 Data Interpretation : The given chart shows the production of different types of cars in the year 2021. Study the given chart and answer the question that follows. • If the total production in the year 2021 was 2,00,00,000, then what will be the central angle of the sector representing the production of type D cars in 2021? • 22:53 Q11 Geometry : A right-angled isosceles triangle has an area of 50 square units. Its hypotenuse is (in units): • 25:03 Q12 Data Interpretation : The pie chart given below shows the expenditure (in percentage) of Aditya. The monthly income of Aditya is ₹54,000. How much does he spend (in₹) on Food? • 26:03 Q13 Percentage: A person earns ₹16,000 per month and spends 80% of his income and saves the remaining amount. If his income increases by 20% and expenditure by 10%, find the percentage of increase in his savings. • 27:23 Q14 Number System : Without doing the actual division, find the remainder when 28735429 is divided by 9. • 28:43 Q15 Geometry : The angles of triangle are such that one is average of other two, then the angles are: त्रिभुज के कोण इस प्रकार हैं कि एक कोण अन्य दो कोणों का औसत है, तो कोण निम्नलिखित में से कौन-से होंगे? • 32:03 Q16 Geometry : Let C be a circle with centre O and P be an external point to C. Let PA and PB be two tangents to C with A and B being the points of tangency, respectively. If PA and PB are inclined to each other at an angle of 60°, then find ∠POA. • 34:13 Q17 Ratio : At present, A is thrice as old as B. C is 5 years elder than B. The sum of the ages of A, B, C is 75 years. The ratio of the age of B five years ago to the age of A three years from now is: • 36:24 Q18 Data Interpretation : The monthly wages (in ₹) of three mess workers, Rahul, Sunil and Vipin, of a boy’s hostel for three months are given in the following table. Study the table carefully and answer the question given below. In November, the wages of Sunil is what percentage of the wages of Rahul? (Correct up to two decimal places.) • 39:04 Q19 Ratio : If x varies inversely as y and x = 2 when y = 6, then the value of y when x = 3 is: • 39:44 Q20 Simple Interest : If a sum of ₹5,000 is taken at a simple rate of interest of 15% per annum for 3 years and another sum of ₹8,000 is taken at a simple interest of 12% per annum for 4 years, the positive difference of the interests paid is: • 41:34 Q21 Time and Race : Varun and Sandeep started for a car race from the same point, in the same direction and at the same time on a circular track of length 1635 m with the speeds of 90 km/h and 108 km/h, respectively. After how much time (in s) will they meet again for the first time? • 43:14 Q22 Time and Work : Pipes M, N and S can fill a tank in 25, 50 and 100 minutes, respectively. Initially, pipes N and S are kept open for 10 minutes, and then pipe N is shut while pipe M is opened. Pipe S is closed 15 minutes before the tank overflows. How much time (in minutes) will it take to fill the tank if the three pipes work in this pattern? • 45:44 Q23 Simplification : Simplify the following: 21− 4.9 ÷ 7 + 3.9 × 0.4 + 0.9 • 47:24 Q24 Data Interpretation : The given bar graph shows the number of students enrolled in Institutes A and B during 5 years (2018 to 2022). • What is the ratio of the total students enrolled in Institute B in 2019, 2020 and 2022 to that of the total students enrolled in Institute A in 2018, 2020 and 2021? • 49:14 Q25 Average : The average temperature of a city for the first sixteen days of January is 22°C, and the average temperature for the last sixteen days of the same month is 26°C. If the average temperature for the entire month is 24°C, what is the temperature on the sixteenth day?

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