Home » SSC CGL Tier 1 Mathematics 4SSC CGL Tier 1 Mathematics 4Quantitative Aptitude, Test06/08/202314/02/2024 SachinHi there! This is the Mathematics section of SSC CGL tier 1, held on 14 July 2023 3rd shift. Complete the test in 20 mins. Practice well. SSC Mathematics test 4 Name 1 / 25 The current ages of Sudhir and Ashish are in the ratio 5 : 7. Twelve years ago, the ratio of theirages was 1 : 2. What will be the age of Sudhir after five years from now ? 33 Years 25 Years 28 Years 20 Years 2 / 25 Two friends P and Q simultaneously start running from same point around a circular track. They run in the same direction. P runs at 6 m/sec and Q runs at b m/sec. If they cross each other at exactly two points on the circular track and b is a natural number less than 6, then how many values can b take? 1 2 3 4 3 / 25 The average of 36 numbers was found to be 45. Later, it was detected that 84 was misread as 48.Find the correct average of the given numbers. 56 48 58 46 4 / 25 If sin 23° = a/b, then the value of sec 23° - sin 67° is _____. 4 3 2 1 5 / 25 An inlet pipe can fill an empty tank in 140 hours while an outlet pipe drains a completely-filled tank in 63 hours. If 8 inlet pipes and y outlet pipes are opened simultaneously, when the tank is empty, then the tank gets completely filled in 105 hours. Find the value of y. 3 2 4 1 6 / 25 What is the central angle corresponding to the sector indicating the expenses incurred on Health? 108° 110° 54° 72° 7 / 25 A and B have some toffees. If A gives one toffee to B, then they have equal number of toffees. If Bgives one toffee to A, then the toffees with A are double with B. The total number of toffees withA and B are ________. 14 12 15 10 8 / 25 The volume of a cone is 73920 cm³. If the height of the cone is 160cm, then find thediameter of its base. 21 cm 22 cm 40 cm 42 cm 9 / 25 Jehangir had to cover a distance of 90 km in an hour. During the first 25 minutes he travelled at a speed of 15.2 metres per second. How many metres did Jehangir cover per second during the remaining period to reach his destination just on time? 32.8 30.8 32 31.2 10 / 25 Solve the following expression.[7 + 30 ÷ 6 - (6 + 6) + 7] 5 4 7 6 11 / 25 AB is the diameter of a circle with centre 0. P be a point on it. If ∠AOP = 95°, then ∠OBP= _________. 47.5° 57.5° 55.5° 45.5° 12 / 25 Virat can complete a work in 30 days and Daniel is 60% more efficient than Virat to complete thesame work. Find the total time taken by Daniel to complete the work. 75/4 62/3 83/5 56/3 13 / 25 300 500 400 200 14 / 25 A's efficiency is twice that of B's. A can work only for 8 hours a day while B can work for 12 hours a day. If A can finish a work in 12 days, in how many days can B finish the same work? 10 12 16 8 15 / 25 Which of the following statements is INCORRECT ? Tanrgent is a line touching only one point of the circle. If a chord is extended outside the circle on both ends then it is called secant. Tangent is perpendicular to the radius of the circle at the point of contact. A line which intersects two distinct points of a circle is called tangent. 16 / 25 A dealer professing to sell his goods at cost price uses 950 grams weight for 1 kg. His gainpercentage is: ( rounded off to two decimal places) 5.26% 5.96% 5.86% 5.35% 17 / 25 Simplify the following expression. 7/2 13/4 15/4 16/5 18 / 25 If sec² Q + tan² Q = 25/18, then the value of sec^{4} Q – tan^{4} Q is: 18/25 25/18 25/12 25/9 19 / 25 A man invests a total sum of f10,000 in a company. A part of the sum was invested at 10% simple interest per annum and the remaining part at 15% simple interest per annum. If the total interest accrued to him in two years equals f2,400, the sum invested at 15% simple interest per annum is: 6000 8000 4000 5000 20 / 25 In an office, a typing work can be finished by Monika in 6 hours, Anita in 8 hours andManju in 5 hours if they work alone. How much time (in hours) will they take if they work together? 180/59 116/57 12/5 120/59 21 / 25 What is the value of sin 30° + cos 30° + tan 30° C B D A 22 / 25 481/256 -286/481 286/481 -481/256 23 / 25 In an election between three candidates, Arjun, Bhaskar and Sarai contested for a post. Arjun got 50% votes more than Sarai, and Sarai got 2% votes less than Bhaskar. The difference between the votes of Bhaskar and Sarai is 1296. What is the half of the difference between the votes of Arjun and Bhaskar? 7766 15228 13988 3888 24 / 25 A trader allows a 20% trade discount and a 30% cash discount. If the list price is 1,200, then theselling price (in Rupees) is: 672 720 627 762 25 / 25 If X + 1/X = 7, then the value of X^{6} + 1/X^{6} is: 103882 103862 113682 103682 Your score is 0% Restart quiz