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.
A)
40
B)
180
C)
360
D)
720
Correct Option - D
Explanation
Let the number of 50p, 25p and 10p coins be 5x, 9x and 4x.
(5x*50)+(9x*25)+(4x*10) = 20600
250x+225x+40x=20600
515x=20600
x=40
Total number of coins
= 18x
= 720
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
A)
Rs.168
B)
Rs.872
C)
Rs.1352
D)
Rs.1248
Correct Option - D
Explanation
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
= 2600*(36+16)/100
= 2600*52/100
Loss in value
= 2600*48/100
= Rs.1248
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.
A)
45$
B)
60$
C)
30$
D)
40$
Correct Option - A
Explanation
If A gets 100 cents,
B gets 60 cents
C gets 40 cents
A:B:C=100:60:40=5:3:2
B's share
= (3/10)*150
= 45$
X, Y and Z are quantities of the same kind such that X:Y=5:8 and Y:Z=4:7. Find X:Z.
A)
32:35
B)
67:56
C)
5:14
D)
5:7
Correct Option - C
Explanation
X:Z=(X:Y)*(Y:Z)
=(5:8)*(4:7)
= (5/8)*(4/7)
= 5/14
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?
A)
4:7
B)
3:1
C)
5:3
D)
3:2
Correct Option - B
Explanation
Let X and Y be the number of fresh apples and rotten apples.
X+Y=12
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.
A)
4
B)
6
C)
3
D)
2
Correct Option - A
Explanation
Let the numbers be 2x and 3x.
(2x)³+(3x)³=280
8x³+27x³=280
35x³=280
x³=8
x=2
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.
A)
8
B)
6
C)
12
D)
18
Correct Option - C
Explanation
Let the numbers be 3x,5x and 6x.
(3x)²+(5x)²+(6x)²=280
9x²+25x²+36x²=280
70x²=280
x²=4
x=2
The greatest number is 6x=12.