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A can complete a given task in 24 days, while B is twice as efficient as A. A started on the work initially and was joined by B after a few days. If the whole work was completed in 10 days, then after how many days did B join A?
Hence, B joined the work after (10 - 7) = 3 days
A and B started a business. B’s investment was 1.5 times that of A. The ratio of the time period for which A invested to that for which B invested was 2:1. If the total investment made by A and B together was Rs 25000 and the annual profit earned was Rs 3000 less than A’s investment, then what was the difference between A’s share and B’s share in the annual profit?
The time taken by a boat to cover a distance of ‘D-36’ km upstream is half the time taken by it to cover a distance of ‘D’ km downstream. The ratio of the speed of downstream to that of upstream is 3:2. If the time taken to cover ‘D-22’ km upstream is 2 hours then what is the speed of the current?
2K = 16
3K = 24
So, downstream speed = 24 kmph
Speed of current = (24 -16) / 2 = 4 kmph
A sum of Rs Z becomes Rs (Z + 264) in two years at the rate of 20% per annum compounded annually. If Shiv invested Rs 2.5Z at 15% per annum on simple interest for three years and Anil invest Rs 1.5Z at the rate of 10% per annum in compound interest for two years, then find the ratio of interest got by Anil to that of Shiv?
15 years ago the average age of a family of four members was 40 years. Two children were born in the span of 15 years. The present average age of the family remains unchanged. Among the two children who were born during the 15 years, if the older child at present is 8 years older than the younger one, what is the ratio of the present age of the older child to the present age of the younger child?
15 year ago the average age of four-member family was 40 years.
Then, total present age of the four members = 4 x 40 +15 x 4 = 160 +60 = 220
Now, two children are born in a span of 15 years then, the total present age of a family of six-member = 6 x 40 = 240 years
Now, the present age of the two children = 240 -220 = 20 years
Let the age of younger child be X years.
The age of older child = (X+8) years
X + X + 8 = 20
2X + 8 = 20
X = 6 years
The age of the older child = 6 + 8 = 14 years
Required ratio = 14 : 6
= 7:3
The ratio between the lengths of Sampark Kranti Express and Garbrath Express is 1:2 and the speed of two trains is 120 kmph and 108 kmph respectively and both trains running in the same direction cross each other in 54 sec. If two-compartment were added in the smaller train then it can cross a platform of 12.5 times of the length of one compartment in 7.02 seconds, then find the time taken by longer train to cross the same platform, if five new compartments were added into that train?
Let the length of both trains is l and 2l respectively.
According to question,
1 = 60m
Length of longer train = 2 x 60 = 120 m
Length of smaller train = 60 m
Length of each compartment be X m
So,
In a three-digit number, the digit at the unit’s place is four times the digit at the hundred’s place. If the digit at the unit’s place and that at the ten’s place are interchanged, the new number so formed is 18 more than the original number. If the digit at the hundred’s place is one-third of the digit at the ten’s place, what is 50% of the original number?
Let the digit at hundred’s place be X.
Then unit’s digit = 4X and ten’s digit = 3X
So, number = 100X +30X +4X = 134X
Again, hundred’s digit =X
Ten’s digit = 4X and unit’s digit = 3X
New number thus formed = 100X + 40X + 3X = 143X
143X -134X = 18
X = 2
Original number = 134 x 2 = 268
Directions For Questions
Following questions contain two statements as statement I and statement II. You have to determine which statement/s is/are necessary to answer the question and give answer as,
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What is the present age of A?
Statement I: Six years hence the ratio of the ages of A to B is 15:13
Statement II: 4 years ago the ages of Surya is 25% more than the ages of B 4 years ago.
From statement I,
(A + 6)/(B + 6) = 15/13
So, Statement I alone is not sufficient to answer the question.
From statement II,
A – 4/B – 4 = 125/100
A’s age 4 years ago = 5x
B’s age 4 years ago = 4x
So, Statement II alone is not sufficient to answer the question.
From I and II
A’s age 6 years after = 5x + 4 + 6 = 5x + 10
B’s age 6 years after = 4x + 4 + 6 = 4x + 10
4x + 10/5x + 10 = 13/15
65x + 130 = 60x + 150
5x = 20
x = 4 years
A’s present age = 5 * 4 + 4 = 24 years
A and B started the business. What is total profit of the business?
Statement I: The ratio of the investment amount of A to B is 3:2 and the ratio of the investment period of A and B is 4:5.
Statement II: Difference between the profit share of A and B is Rs.1200.
Investment amount of A and B = 3:2
Period ratio of A and B = 4:5
So, statement I alone is not sufficient to answer the question.
Difference between the profit share of A and B is Rs.1200.
From I and II,
Profit ratio of A and B = 3 * 4:2 * 5 = 12:10 = 6:5
Total profit of the business = 11/1 * 1200 = Rs.13200
Both statements are necessary to answer the question.
What is the area of the rectangle?
Statement I: Length of the rectangle is 4 cm more than that of the breadth of the rectangle and the breadth of the rectangle is equal to the side of the square whose area is 400 cm2.
Statement II: Perimeter of the rectangle is equal to the circumference of the circle whose radius is 14 cm and the perimeter of the square is 80 cm.
l – b = 4
Side of the square = 20 cm
Breadth of the rectangle = 20 cm
Length of the rectangle = 20 + 4 = 24 cm
Area of the rectangle = 24 * 20 = 480 cm2
So, Statement I alone is sufficient to answer the question.
2 * 22/7 * 14 = Circumference of the circle
Circumference of the circle = 88 cm
88 = perimeter of the rectangle
Perimeter of the square = 80 cm
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