There is a three digit number. The digit at the tenth place is 3. If the place of all the digits are replaced with each other symmetrically about the tens position,then the new number obtained is 396 more than the original three digit number. The sum of the digits at unit & hundredth place is 14. Find out the original number?
Ans. Let digit = xyz Given y = 3 According to the question = (100z+10y+x) - (100x+10y+z) = 396x99z-99x = 396 Z-x = 4 Also, Z+ x = 14 Solving (i) & (ii) Z = 9 , x= 5 The original number is 539
Marked price of an article is 1600 Rs. more than the cost price. When the same article is sold at a discount of Rs. 500 then the percent profit earned is 25%. For earning a profit of 30%, the article should be sold at what price?
A train left from station A for station B at 4 pm at an average speed of 80 kmph. At 8 pm, another train also had left from station A for station B on a parallel track at an average speed of 120 kmph. How far from A is another train expected to overtake the first train?
Ans. Distance covered by 1st train in 4 hours = 80*4 = 320 km Relative speed of 2nd train = 120-80 = 40 km It will overtake another train in 320/40 = 8 hours Distance between overtake point and station A = 8*120 = 960 km
In a business, A invested 1200 rs. more than B. B invested his amount for 15 months while A invested for 4 months more than that of B. If total profit was 1240 rs. in which the profit of B is 280 Rs. less than that if A. then what was the invested amount of A?
Ans. Let B’s investment = x rs. ∴ A’s investment =( x + 1200) rs. Ratio of the profits of A and B = (x+1200)*(15+4):x*15 = {19(x+1200)}:15x Now,let the total profit of A =y ∴ total profit of B = (y-280) But total profit = 1240 ⇒y+(y-280)=1240 ⇒2y=1520 ⇒y= 760 ∴profit of A = 760rs. Profit of B = 760-280=480 rs. Ratio of profits= 760:480 = 19:12 According to the question,
19(x+1200)/15x = 19/12
12x+14400 = 15x
⇒3x = 14400 ⇒x = 4800 rs. ⇒investment of A = 4800+1200 = 6000 rs.
The ratio of volume of a cone to that of a cylinder if cylinder radius is reduced by 4 times and its height increased by 8 times of that of the cone, is -
Ans. Let radius of the base and height of the cone be ‘r’ & ‘h’ respectively.
Then volume of cone = πr2h/3 For cylinder, radius is reduced by 4 times = r/4 And, height is increased by 8 folds = 8h Volume of cylinder = πR2H = π(r/4)2 (8h) = (16/8)πr2h = πr2h/2 Ratio of volume of cone to volume of cylinder = (πr2h/3) : (πr2h/2) Or, Ratio = 2 : 3.
The speed of a boat when travelling downstream is 32 km/h, whereas when travelling upstream it is 28 km/h. What is the speed of the boat in still water?
A shopkeeper mixed two verities of rice at Rs. 40/kg and Rs.60/kg in the ratio 3: 2 and sold the mixture at 10% profit. Find the price per kg at which he sold the mixture?
Four statements are given below at A, B, C and D. There may be some errors in the given statement(s). The incorrect statement is your answer.
A) To drain water away from the tracks, railroad beds, like road beds, are designed in which there is usually a bed of rock and gravel resulting in fast drainage from the tracks.
B) Railroad beds, like road beds, are designed in which there is usually a bed of rock and gravel that results in the fast drainage from the tracks.
C) A bed of rock and gravel, called the railroad bed, is designed similar to a road bed to drain water away from the tracks.
D) Railroad beds, like road beds, are designed to drain water apart from the tracks, so there is usually a bed of rock and gravel resulting in fast drainage away from the tracks.
A) To drain water away from the tracks, railroad beds, like road beds, are designed in which there is usually a bed of rock and gravel resulting in fast drainage from the tracks.
B) Railroad beds, like road beds, are designed in which there is usually a bed of rock and gravel that results in the fast drainage from the tracks.
C) A bed of rock and gravel, called the railroad bed, is designed similar to a road bed to drain water away from the tracks.
D) Railroad beds, like road beds, are designed to drain water apart from the tracks, so there is usually a bed of rock and gravel resulting in fast drainage away from the tracks.
Answer & ExplanationAnswer: D) Railroad beds, like road beds, are designed to drain water apart from the tracks, so there is usually a bed of rock and gravel resulting in fast drainage away from the tracks.
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