A bag contains 50 p, 25 p and 10 p coins in the ratio 5:9:4, amounting to Rs.206. Find the total number of coins in the bag.
Correct Option - DExplanation
Let the number of 50p, 25p and 10p coins be 5x, 9x and 4x.
(5x*50)+(9x*25)+(4x*10) = 20600
Total number of coins
The cost of a precious stone varies as the square of its weight. A diamond weighing 10 decigrams costs Rs. 2600. The loss incurred when it breaks into two pieces whose
The cost varies as the square of the weight.
Weight of the diamond = 10 dg
Weight of the two pieces = 6dg, 4dg
Value of the two pieces
Loss in value
An sum of 150$ is divided among A,B and C such that for each dollar A gets, B gets 60 cents and C gets 40 cents. Find B's share.
Correct Option - AExplanation
If A gets 100 cents,
B gets 60 cents
C gets 40 cents
X, Y and Z are quantities of the same kind such that X:Y=5:8 and Y:Z=4:7. Find X:Z.
Correct Option - CExplanation
A box containing a dozen apples is opened and a few of the apples are found to be rotten. Which of the following may be the ratio of fresh apples to rotten apples?
Correct Option - BExplanation
Let X and Y be the number of fresh apples and rotten apples.
Ratio = X:Y
If the ratio simplifies to a:b,
a+b has to be a factor of 12.
3+1=4 is a factor of 12. Hence (B) can be the ratio.
The sum of cubes of two numbers is 280. If the numbers are in the ratio 2:3, find the smallest number.
Let the numbers be 2x and 3x.
The numbers are 4 and 6.
The sum of squares of three numbers is 280. If the numbers are in the ratio 3:5:6, find the greatest number.
Let the numbers be 3x,5x and 6x.
The greatest number is 6x=12.