The marked price of a table is ₹ 12000. If it was sold for ₹10500 after allowing a certain discount, then the rate of discount is
10%
12.5%
15%
17.5%
B.
12.5%
Let the rate of discount be x%.
According to the question,
A and B can complete a work in 3 days. They start together but, after 2 days, B left the work. If the work is completed after 2 more days, B alone could do the work in
4 days
6 days
8 days
10 days
B.
6 days
Work done by A and B in 2 days =
∴ Remaining work
As, B completes the remaining work in 2 days.
∴ B alone can do it in 3 x 2 = 6 days.
The diameters of two circles are the side of a square and the diagonal of the square. The ratio of the areas of the smaller circle and the larger circle is
1 : 4
1 : 2
D.
1 : 2
For first circle,
Diameter of a circle = Side of a square
⟹ 2r = a
⟹ r = a/2
For second circle,
Diameter of a circle = Diagonal of a square
∴ Required ratio of the areas of the smaller circle and the larger circle is:
The total surface area of a sphere is square unit. The volume of the sphere is
cu unit.
D.
Total surface area of sphere
∴ Volume of sphere:
Product of two co-prime numbers is 117. Then their LCM is
9
13
39
117
D.
117
L.C.M. of two co-primes is equal to their product.
A does 20% less work than B. If A can complete a piece of work in then B can do it in
4h
6h
8h
10h
B.
6h
Ratio of times taken by A and B = 100 : 80
Then, According to question,
A conical flask is full of water. The flask has base radius r and height h. This water is poured into a cylindrical flask of base radius mr. The height of water in the cylindrical flask is
C.
Volume of conical flask = Volume of water
Now, the water is poured into the cylindrical flask.
Therefore, According to the question,
Volume of cylinder = Volume of water
A dozen pairs of socks quoted at ₹ 180 are available at discount of 20%. How many pairs of socks can be bought for ₹ 48?
4 pairs
2 pairs
5 pairs
3 pairs
A.
4 pairs
Cost of a dozen pair of socks after discount:
∴ Cost of 1 pair of socks
Thus, with ₹ 48 total pairs of socks can be bought:
A and B together can complete a piece of work in 12 days. B and C can do it in 20 days and C and A can do it in 15 days. A, B and C together it in
6 days
8 days
10 days
12 days
C.
10 days
Shortcut Method:
Let A, B and C together can complete a piece of work in x days.
Now,
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