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What will come in place of the question mark (?) in the following number series?
24, 16, 19, 21, ?, 26, 9
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24, 16, 19, 21, ?, 26, 9 the alternate difference of -5 & +5 24 - 5 = 19 19 - 5 = 14 14 - 5 = 9 also, 16 + 5 = 21 21 + 5 = 26
12, 36, 80, 150,?
20, 16, 25, 20, 35, ?, 55, 44
7, ?, 42, 210, 1680, 20160
What should come in place of the question mark '?' in the following number series?
4, 14, 32, 60, 100, ?
How many litres of water should be poured into a container containing 40 litre mixture of milk and water containing milk and water in the ratio of 5 : 3 such that the resultant mixture has 75% water in it?
The 40 litres of mixture has got milk = 40*(5/8) = 25 litres The 40 litres of mixture has got water = 40*(3/8) = 15 litres Let the amount of water to be poured is = x litres Then,
A and B are partners in a business. They invest in the ratio 5:6. At the end of 8 months A withdraws. If they receive profits in the ratio of 5:9, find how long B’s investment was used?
Let investment time of B was for ‘t’ months Ratio of their investment = ratio of profit distribution 5x* 8 : 6x* t = 5: 9 Hence, time
Raj covers (2/3)rd of a certain distance in 2 hours 30 minutes at the rate of M kmph. He covers the remaining distance at the rate of (M+2) kmph in 50 minutes. What is the total distance.
Let the total distance be 3y km(For easy calculation) Now, Speed * Time = Distance M * (5/2) =2y => 5M = 4y——– (1) Again , (M + 2)*(50/60) = y => (M +2)*5 =6y———(2) On dividing (2) by (1) [(M+2)*5]/5M = 6y/4y => (M+2)/M = 3/2 =>M=4 5*4 =4y => y =5 Therefore ,Total dist. = 3y = 3 * 5 = 15 km
The cost of five chairs and three tables is ₹ 3110. Cost of one chair is ₹ 210 less than cost of one table. What is the cost of two tables and two chairs?
5C + 3T = 3110 ………….. (i) C = T - 210 ……………..(ii) From equation (i) and (ii) T = ₹520/- C = ₹310/- Total cost = 520 × 2 + 310 × 2 = ₹1660/- C = Chair T = Table
A tank has a leak which would empty it in 6 hours when no tap is opened. A tap is turned on which fills the tank at 10 liters per hour if there is no leak. What is the capacity of the tank if both tap & leak together take 15 hours in emptying the tank?
When both the tap and the leakage are turned together, the tank is emptied in 15 Let Tap takes 'x' hours in filling the tank. (1/x) - (1/6) = -(1/15) (1/x) = (1/6) - (1/15) = 1/10 Hence, x = 10 Thus, the tap is filled in 10 hours at the rate of 10 liters per hour. Hence capacity of tank= 100 liters
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