Home » SSC CGL Tier 1 Mathematics 6SSC CGL Tier 1 Mathematics 6Quantitative Aptitude, Test06/08/202314/02/2024 SachinHi there! This is the Mathematics section of SSC CGL tier 1, held on 17 July 2023 1st shift. Complete the test in 20 mins. Practice well. SSC Mathematics test 6 Name 1 / 25 A, B and C, working alone, can complete a job in 16, 24 and 36 days, respectively. In how many dayscan they complete the job if they work together? 89/19 121/19 112/19 144/19 2 / 25 Simplify2.5 X [144 ÷ 198 X {121 X 81 ÷ (11 X 9)}] 185 175 190 180 3 / 25 Simplify the following expression. (3x+5)² + (3x-5)² 450x 9x² + 50 500x 2(9x² + 25) 4 / 25 There are 3 members in a family. The average age of the father and mother is 40 years. The averageage of the father, mother and daughter is 30 years. Find the age (in years) of the daughter. 12 8 10 6 5 / 25 Simplify the given expression.y + 2x - [ (y - (y - x + y) - (x + y) + y] - 2y 2x -2x -y y 6 / 25 On a circular path of 693 m, Sujata and Anjali start walking from the same point but in the opposite directions at the speed of 2.85 km/h and 1.5 m/sec, respectively. When they will meet for the first time? After 4.56 minutes After 6.75 minutes After 5.04 minutes After 6.05 minutes 7 / 25 Industrial growth of different countries (in crores of Rs.)How many countries' industrial growth is more than the average industrial growth? 2 3 4 1 8 / 25 Find the smallest number that can be subtracted from 148109326 so that it becomes divisible by 8. 6 10 4 8 9 / 25 -3√5 -4√3 3√5 4√3 10 / 25 ΔABC∼ΔDEF and the perimeters of ΔABC and ΔDEF are 40 cm and 12 cm, respectively. If DE= 6cm, then AB is: 10 cm 20 cm 24 cm 12.6 cm 11 / 25 Find the value of sin² 25 + sin² 65. 1 0 1/2 -1 12 / 25 If x% of 280 = 15% of 240 + 20% of 310, then the value of x is: 38 30 35 40 13 / 25 The volume of a cone with height equal to radius, and slant height 5 cm is: C B A D 14 / 25 A shopkeeper sells an item at a profit of 15% and uses a weight which is 20% less. Find his actual profit percentage. 43.75% 42.5% 50% 40% 15 / 25 If the LCM and the HCF of two numbers are 12 and 2 respectively, then find the mean proportional of these numbers. √6 2√6 √14 2 16 / 25 A policeman noticed a thief from 300 m. The thief started running and the policeman was chasing him. The thief and the policeman ran at the speeds of 8 km/h and 9 km/h, respectively. What was the distance between them after 3 minutes? 225 m 200 m 300 m 250 m 17 / 25 The area of two triangles is in the ratio 5 : 3 and their heights are in the ratio 5 : 7. Find the ratio of their bases. 3 : 5 2 :3 7 : 5 7 : 3 18 / 25 If sin t + cos t = 4/5, then find (sin t )(cos t) -9/50 9/50 9/25 -9/25 19 / 25 Rakshit, Ajay, and Satish are sanitation workers in a Municipal Corporation. Rakshit alone takes 20 hours to clean a drain while Ajay takes 12 hours when working alone to do the same. All three together take only 5 hours to clean the drain. In how many hours, can Satish complete the work alone? 15 10 18 12 20 / 25 15 men and 25 women can complete a piece of work in 9.6 days. If 16 women can complete the samework in 27 days, find the number of days in which 16 men can complete the same work. 19.20 20.25 22.50 21.60 21 / 25 Select the correct statement with respect to the below bar graph. The highest production of rice was in the year 2017. Rice production by A in 2016 is less than the rice production by C in 2020. Rice production by B in 2017 is equal to the rice production by A in 2020 . B produced more rice than A and C in 2018 22 / 25 Select the INCORRECT formula from the following options. sin² Q + cos² Q =1 sec² Q + cos² Q = 1 cosec² Q - cot² Q = 1 sec² Q - tan² Q = 1 23 / 25 A person deposited Rs. 500 for 3 years, Rs.650 for 5 years, and Rs.1 ,250 for 7 years. He received a totalsimple interest of Rs.1 ,620. The rate of interest per annum is: 13% 12% 10.8% 11% 24 / 25 If the area of a circle is 616 cm2 and a chord XY = 10 cm, then find the perpendicular distancefrom the center of the circle to the chord XY. √181 cm √161 cm √117 cm √171 cm 25 / 25 A shopkeeper offers the following discount schemes for buyers on an article:i. Two successive discounts of 15% eachii. A discount of 25% followed by a discount of 5%iii. Two successive discounts of 20% and 10%iv. A discount of 30%Under which scheme will the selling price be maximum? Scheme ii Scheme i Scheme iv Scheme iii Your score is 0% Restart quiz