A tank can be filled in by an inlet pipe of circular cross section in 10 min. Another tank twice as big is filled in by 3 inlet pipes whose diameters are in the ratio 1 : 2 : 3 . If the smallest pipe of these is four times as much in cross section as the pipe of the first tank, find the time taken to fill the second tank. [Speed of water in the second tank is half the speed of the water in the first tank.]
a7/5 min
b5/7 min
c5/6 min
d6/5 min
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One man can do as much work in one day as a woman can do in 2 days. A child does one-third the work in a day as a woman. If an estate owner hires 39 pairs of hands — men, women and children in the ratio 6 : 5 : 2 — and pays them in all Rs. 1,113 at the end of the day's work, what must the daily wages of a child be, if the wages are proportional to the amount of work done?
a 14
b Rs. 3.50
c Rs. 10.50
d Rs. 7
If a1=1, a2=7, a3=19, a4=43..... find a100. [CAT 2000]
Let x, y and z be natural numbers such that x > y > z >= 2 and xyz = 2002. Let A and B be the maximum and minimum values, respectively, of x + y + z. Find A - B.
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ve consecutive integers are chosen. Let S denote their sum and let P denote their product. If P/S is divisible by 100, what can be the smallest value of S?
Two circles of radii 5 cm and 3 cm intersect at two points and the distance between
their centres is 4 cm. Find the length of the common chord
ABC is an isosceles triangle with AB=AC. D & E are the mid points of AB & AC resp. GD=1.414 cm and BC= 4 cm; what is the area of quad. AEGD. Pl share the approach to solve the attached ques. OA is option 4 ie. 4 square units.
If 336 - 1 = 1A009463A296999120, where A is a single digit whole number, then the value of A is
If the product of four positive integers is 10! What is the smallest possible value their sum can have?😟
If the product of four positive integers is 10! What is the smallest possible value their sum can have?
If 4 is written 4444 times side by side, we shall get a large number of 4444 digits. What is the remainder when 7 divide this large number?
a. 1 b. 4 c. 2
d. 6 e. None of these
Kindly explain approach also.
Please help me with functions, graphs, inequalities, anyone with notes or can suggest me how to prepare these chapters?
For 1st 150 natural numbers, how many numbers are:
1. co-prime to 2,3 and 5 (or co-prime to 150 or co-prime to 6 and 10)
2. co-prime to at least one number among 2 or 3 or 5
3. co-prime to exactly one number among 2 or 3 or 5
4. co-prime to exactly two number among 2 or 3 or 5
5. Co-prime to 2 but not co-prime to 3 or 5
6. co-prime to 6 or 10
7. co-prime to 6 or 10 but not both
8. co-prime to 6 but not 10
Ghosh Babu is staying at Ghosh Housing Society, Aghosh Colony, Dighoshpur, Kolkata. In Ghosh Housing Society, 6 persons read daily The Ganashakti and 4 persons read The Anand Bazar Patrika. In this colony, there is no person who reads both the newspapers. The total number of persons who read these two newspapers in Aghosh Colony and Dighoshpur is 52 and 200, respectively. The number of persons who read. The Ganashakti in Aghosh Colony and Dighoshpur is 33 and 121, respectively, while the persons who readThe Anand Bazar Patrika in Aghosh Colony and Dighoshpur are 32 and 117, respectively.
The number of persons in Dighoshpur who read only The Ganashakti is
121
83
79
127
None of these
what is the maximum power of 5 , that can be extracted from 125!
A rectangular sheet of paper, when halved by folding it at the midpoint of its longer side, results in a rectangle, whose longer and shorter sides are in the same proportion as the longer and shorter sides of the original rectangle. If the shorter side of the original rectangle is 2, what is the area of the smaller rectangle?
A rectangular sheet of paper, when halved by folding it at the midpoint of its longer side, results in a rectangle, whose longer and shorter sides are in the same proportion as the longer and shorter sides of the original rectangle. If the shorter side of the original rectangle is 2, what is the area of the smaller rectangle?
The sequence 2, 3, 5, 6, 7, 10, … consists of all natural numbers that are neither perfect squares nor perfect cubes. Find the 76th term of this sequence.
Nx is a family of numbers for different natural numbered values of x. They share a common property of having 24 factors in each of the numbers. All the elements of N are arranged in ascending order as follows: N1
If a, b and c form a G. P. with common ratio 'r', the sum of the y-coordinates of the points of intersection of the line ax + by + c = 0 and the curve x + 2y^2 = 0 is