Try to solve them at the quickest possible time.
Alligations and mixtures
Q:
8 litres are drawn from a cask full of wine and is
then filled with water. This operation is performed three more times.
The ratio of the quantity of wine now left in cask to that of the water
is 16 : 65. How much wine the cask hold originally?
Q:
A can contains a mixture of two liquids A and B in
the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is
filled with B, the ratio of A and B becomes 7 : 9. How many litres of
liquid A was contained by the can initially?
Q:
A vessel is filled with liquid, 3 parts of which are
water and 5 parts of syrup. How much of the mixture must be drawn off
and replaced with water so that the mixture may be half water and half
syrup?
Q:
A merchant has 1000 kg of sugar part of which he
sells at 8% profit and the rest at 18% profit. He gains 14% on the
whole. The Quantity sold at 18% profit is?
Q:
A container contains 40 litres of milk.From this
container 4 litres of milk was taken out and replaced by water. This
process was repeated further two times. How much milk is now contained
by the container.
Q:
The ratio of expenditure and savings is 3 : 2 . If
the income increases by 15% and the savings increases by 6% , then by
how much percent should his expenditure increases?
Q:
Tea worth Rs. 126 per kg are mixed with a third
variety in the ratio 1: 1 : 2. If the mixture is worth Rs. 153 per kg,
the price of the third variety per kg will be?
Q:
How many kilograms of sugar costing Rs. 9 per kg must
be mixed with 27 kg of sugar costing Rs. 7 per Kg so that there may be a
gain of 10 % by selling the mixture at Rs. 9.24 per Kg ?
Q:
The cost of Type 1 rice is Rs. 15 per kg and Type 2
rice is Rs.20 per kg. If both Type 1 and Type 2 are mixed in the ratio
of 2 : 3, then the price per kg of the mixed variety of rice is?
Q:
Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.
Area
Q:
If each side of a square is increased by 25%, find the percentage change in its area?
Q:
If the radius of a circle is decreased by 50%, find the percentage decrease in its area.
Q:
A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?
Q:
One side of a rectangular field is 15m and one of its diagonal is 17m. Find the area of field?
Q:
If the diagonal of a rectangle is 17cm long and its perimeter is 46 cm. Find the area of the rectangle.
Q:
Find the ratio of the areas of the incircle and circumcircle of a square.
Q:
The diagonal of a rectangle is root(41) cm and its area is 20 sq. cm. The perimeter of the rectangle must be?
Q:
The length of a rectangular hall is 5m more than its breadth. The area of the hall is 750 m. The length of the hall is?
Q:
A parallelogram has sides 30m and 14m and one of its diagonals is 40m long. Then its area is?
Q:
A rectangular park 60 m long and 40 m wide has two
concrete crossroads running in the middle of the park and rest of the
park has been used as a lawn. If the area of the lawn is 2109 sq. m,
then what is the width of the road?
Numbers
Q:
(51 + 52 + 53 + .........+100) is equal to?
Q:
What least number must be subtracted from 13601, so that the remainder is divisible by 87 ?
Q:
A number when divided by 296 leaves 75 as remainder.When the same number is divided by 37,the remainder will be?
Q:
The sum of all two digit numbers divisible by 5 is?
Q:
The difference between a positive proper fraction and its reciprocal is 9 / 20. Then the fraction is?
Q:
476 ** 0 is divisible by both 3 and 11.The non zero digits in the hundred's and ten's places are respectively?
Q:
If 60% of 3/5 of a number is 36, then the number is?
Q:
A piece of ribbon 4 yards long is used to make bows
requiring 15 inches of ribbon for each. What is the maximum number of
bows that can be made?
Q:
If the product 4864*9 P 2 is divisible by 12, the value of p:
Q:
What is the greatest of 3 consecutive integers whose sum is 24 ?
Permutation and Combination
Q:
How many integers, greater than 999 but not greater
than 4000, can be formed with the digits 0, 1, 2, 3 and 4, if repetition
of digits is allowed?
Q:
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
Q:
How many 4-letter words with or without meaning, can
be formed out of the letters of the word, 'LOGARITHMS', if repetition of
letters is not allowed?
Q:
If the letters of the word SACHIN are arranged in all
possible ways and these words are written out as in dictionary, then
the word ‘SACHIN’ appears at serial number?
Q:
A college has 10 basketball players. A 5-member team
and a captain will be selected out of these 10 players. How many
different selections can be made?
Q:
The Indian Cricket team consists of 16 players. It
includes 2 wicket keepers and 5 bowlers. In how many ways can a cricket
eleven be selected if we have to select 1 wicket keeper and atleast 4
bowlers?
Q:
A committee of 5 persons is to be formed from 6 men
and 4 women. In how many ways can this be done when at least 2 women are
included ?
Q:
In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
Q:
In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
Q:
When four fair dice are rolled simultaneously, in how many outcomes will at least one of the dice show 3?
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