SSC Apt Exam 04061 Welcome to your SSC Apt Exam 04061 Name Email 1. Rajesh and Bhuvnesh both are dealers of Akash Helicopters. The price of a Akash Helicoptes is Rs. 28,000. Rajesh gives a discount of 10% on the whole, while Bhuvnesh gives a discount of 12% on the first Rs. 20,000 and 8% on the rest Rs. 8000. What is the difference between their selling A. Rs .240 B.Rs.420 C.Rs.640 D. Rs. none of these None 2 . A milkman purchases the milk at Rs. x per litre and sells it at Rs. 2x per litre still he mixes 2 litres water with every 6 litres of pure milk. What is the profit percentage : A. 116 % B.166 2\3% C. 60% D. 45% None 3 . Rajesh purchased the ar- ticles for Rs. 123684. He sold 60% of those at a profit of 16.66% and rest at a loss. Find the loss percentage on the remaining if the overall loss is 14% ? (a) 20% (b) 30% (c) 60% (d) 66.66% None 4 . The pressure of a definite mass of a gas is directly proportional to the temperature and inversely proportional to the volume under the given conditions. If temperature is increased by 40% and the volume is decreased by 20% then the new pressure will : (a) increased by 75% (b) reduce to 25% (c) increased by 20% (d) increased by 28% None 5 . A computer typist types a page with 20 lines in 10 minutes but he leaves 8 % margin on the left side of the page. Now he has to types 23 pages with 40 lines on each page and leaves 25 % more margin than before. How much time is now required to type these 23 pages. (a) 7 1/2 hrs (b) 7 2/3 hrs (c) 23 1/2 hrs (d) 3.916 hrs None 6 . In Sabarmati Express, there are as many wagons as there are the no. of seats in each wagon and not more than one passanger can have the same berth (seat). If the middlemost compartment carrying 25 passangers is filled with 71.428% of its capacity, then find the maximum no. of passangers in the train that can be accommodated if it has minimum 20% seats always vacant. (a) 500 (b)786 (c) 980 (d) Can’t be determined None 7.In a sample of 50 litre glycerine there was 20% impurity. How many litres pure glycerine should be added to the mixture so that the impurity may reduce to 5% ? (a) 155 litre (b) 150 litre (c) 150.4 litre (d) 149 litre None 8.Two vessels of same capacity contains a mixture of water and milk. The ratio of water and milk in the two vessels is 3 : 4 and 5 : 3 respectively. If the mixture of two vessels is poured into a third vessel. Find the new ratio of water and milk in the new mixture? (a 15 : 12 (b) 53 : 59 (c) 20 : 9 (d) 59 : 53 None 9.Four vessels contains the mixture of milk and water the ratio of milk and water in the vessels is 5 : 3, 2 : 1, 3 : 2, and 7 : 4 respectively. In which vessel, milk is the least in comparison with water. (a) First (b) Second (c) Third (d) Fourth None 10 . Two men start together to walk a certain distance, one at 4 km/h and another at 3 km/h. The former arrives half an hour before the later. Find the distance : (a) 8 km (b) 7 km (c) 6 km (d) 9 km None 11 . A train running at 7/11 of its own speed reached a place in 22 hours. How much time could be saved if the train would run at its own speed ? (a) 14 hours (b) 7 hours (c) 8 hours (d) 16 hours None 12 . A car can cover a certain distance in 4 1/2 hours. If the speed is increased by 5 km/hour, it would take 1/2 hour less to cover the same distance. Find the slower speed of the car: (a) 50 km/hour (b) 40 km/hour (c) 45 km/hour (d) 60 km/hour None 13 . X can do a work in 18 days and Y in 36 days. How many days they work together to complete the Two-Third work? (a) 4 (b) 12 (c) 8 (d) 9 None 14 . Ashish can do a work in 25 days and Rohit in 75 days. How many days they work together to complete the Two-fifth work? (a) 20 (b) 15/2 (c) 75/4 (d) 15/4 None 15 . A can do the work in 50 days, B in 30 days. How many days they work together to finish the whole work? (a) 6 (b) 18 3/4 (c) 12 (d) 25 None 16 . Praveen marked two different prices of an article One for cash payers and the other for taking it on loan for 6 months. What will be the ratio of two prices If the rate of simple interest is 6 1/4 % per annum. (a) 5 : 6 (b) 19 : 18 (c) 32 : 33 (d) 44 : 45 None 17 . The simple interest on a certain sum at 5% per annum for 6 years is `248 more than the interest on the same amount at 4% per annum for 7 years. What will be the simple interest on the same amount at 3% per annum for 3 years? (a) RS 960 (b) RS 1024 (c) RS 1116 (d) RS 1260 None 18 . Rajesh invested 40% of his total amount at 15% per annum, 50% of the rest amount at 10% per annum and the remaining amount at 18% If the interest is calculated on the whole amount what will be effective single annual rate of interest? (a) 14% (b) 14.33% (c) 14.4% (d) 15.2% None 19 .The perimeter of a rhombus is 100 cm and one of its diagonals is 40 cm. Its area (in cm2 ) is (a) 1200 (b) 1000 (c) 600 (d) 500 None 20 .The perimeter of a non-square rhombus is 20 cm. One of its diagonal is 8 cm. The area of the rhombus is (a) 28 sq. cm (b) 20 sq. cm (c) 22 sq. cm (d) 24 sq. cm None 21 .The area of a rhombus is 216 cm2 and the length of its one diagonal is 24 cm. The perimeter (in cm) of the rhombus is (a) 52 (b) 60 (c) 120 (d) 100 None 22 .The radii of two spheres are in the ratio 3 : 2. Their volume will be in the ratio : (a) 9 : 4 (b) 3 : 2 (c) 8 :27 (d) 27 : 8 None 23 .The ratio of the surface area of a sphere and the curved surface area of the cylinder circumscribing the sphere is (a) 1 : 2 (b) 1 : 1 (c) 2 : 1 (d) 2 : 3 None 24 . (a) (b) (c) (d) None 25 . (a) (b) (c) (d) None