A, B and C together can complete a work in 4 days. A alone can complete a work in x days and B alone can complete the same work in (x + 5) days and C alone can complete the work in x/2 days. Find the time taken by A and C together to complete the work. ...

Priya starts from A at 7.00 AM and reaches B at 10.00 PM. If Priya increased her speed by 10 km/hr, she would have reached B in 2.5 hours earlier. Find the time taken by Priya to cover a distance that is 250 km less than the distance between A and B with her initial speed. ...

A boat covers a certain distance upstream in 15 hours and covers the same distance downstream in 9 hours. The boat covers x km in still water in 5 hours and also covers (x + 30) km downstream in 5 hours. Find the speed of the boat in still water. ...

A, B and C entered into a partnership with an investment of Rs.5000, Rs.4000 and Rs.6000 and invested for x, y and 10 months respectively. The total profit obtained by them is Rs.7000 and the profit obtained by A and B is Rs.3000 and Rs.2000 respectively. Find the ratio of x to y. a) 1:1 b) ...

A shopkeeper marked an article at 50% above its cost price and sold it after giving two successive discounts of 10% and 20% respectively. If the shopkeeper gets the profit of Rs.960, then find the marked price of the article? a) Rs.18000 b) Rs.20000 c) Rs.15000 d) Rs.22000 e) Rs.12000 Sol: CP * ...

Radius of the circle is 21 m and the area of the circle is 54 m2 less than the sum of the lateral surface area and the total surface area of the cube. Find the volume of the cube. a) 729 m3 b) 2197 m3 c) 1728 m3 d) 1000 m3 e) None of these Sol: Area of the circle = 22/7 * 21 * ...

1449 ÷ 23 + (5365 ÷ 37) + 1958 ÷ 89 = ? a) 240 b) 230 c) 250 d) 280 e) 220 1449 ÷ 23 + (5365 ÷ 37) + 1958 ÷ 89 = ? 63 + 145 + 22 = ? 230 = ?

Q. √4489 + √1849 - √841 = ?2 a)            7 b)            5 c)            8 ...

Q. I. x2 – 34x + 289 = 0 II. y3 = 702 + 1691/2 a)            x> y b)            y> x c)            x ≥ y d)            x ≤ y e)            x = y or relation cannot be established  Sol: I. x2 – 34x + 289 = 0 x2 – 17x – 17x + 289 = 0 x(x – 17) – 17(x – 17) = 0 x = 17 II. y3 = 702 + 1691/2 y3 = ...

In a mixture of milk and water, milk is 16 L more than water and the cost of the mixture is Rs.33(1/3). If the cost of pure milk is Rs.50 per L, then find the total quantity of the mixture. a)            36 L ...

Average weight of 13 students in a class is 55 kg, out of which the average weight of the first 6 students is 53 kg and the average weight of next 6 students out of the remaining 7 is 56 kg, then find the weight of the remaining one student. ...

Ratio of total goals scored by Messi against teams A to B is 3: 5 and the ratio of goals scored by Messi against teams B to C are 3: 2. If the difference between goals scored by him against A and C is 5, then find the total number of goals scored by Messi against all the three teams together. a) ...