How many glasses of $$120\text{ millilitres}$$ can you fill from a $$3\text{ litre}$$ can of juice?
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How many glasses of $$120\text{ millilitres}$$ can you fill from a $$3\text{ litre}$$ can of juice?
Convert $$3\text{ litres}$$ to $$3000\text{ millilitres}$$. Then $$3000\div120=25$$, so exactly $$25$$ glasses can be filled and no juice remains.
The sum of $$2211+2213+2215+2217+2219+2221+2223+2225+2227+2229$$ is
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If a number is first multiplied by $$\frac{4}{7}$$ and then divided by $$\frac{12}{7}$$, then it is equivalent to which of the following operations on the number?
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$$X$$ is a $$5$$ digit number. Let $$Y$$ be the sum of the digits of $$X$$. Let $$Z$$ be the sum of the digits of $$Y$$. Then the maximum possible value that $$Z$$ can have is
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A square is constructed on a graph paper which has a square grid of $$1\text{ cm}$$ width. Ram paints all the squares which cross the two diagonals of the square and finds that there are $$19$$ of them. Then the side of the square is
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Look at the set of numbers $$2,3,5,7,8,10,12$$. Four numbers are selected from this and made into two pairs. The pairs are added and the resulting two numbers are multiplied. The smallest such product is
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Anita wants to enter a number into each small triangular cell of the triangular table. The sum of the numbers in any two such cells with a common side must be the same. She has already entered two numbers. What is the sum of all the numbers in the table?

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Where $$A,B,C,D,E$$ are distinct digits satisfying this addition fact, then $$E$$ is

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A large rectangle is made up of eleven identical rectangles whose longer sides are $$21\text{ cm}$$ long. The perimeter of the large rectangle in $$\text{cm}$$ is

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The sum of the odd numbers from $$1$$ to $$2019$$ both inclusive, is divisible by
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The circumference of a circle is numerically greater than the area of the circle. Then the maximum length of the radius cannot be greater than
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A calendar for $$2019$$ is made using $$4$$ sheets, each sheet having $$3$$ months. The total number of days shown in each of the four sheets $$\left(1^{\text{st}},2^{\text{nd}},3^{\text{rd}},4^{\text{th}}\right)$$ respectively is
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Triples of odd numbers $$\left(a,b,c\right)$$ with $$a<b<c$$, with $$a,b,c$$ from $$1$$ to $$10$$ are generated such that $$a+b+c$$ is prime number. The number of such triple is
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A number leaves a remainder $$2$$ when divided by $$6$$. Then the possible remainder or remainders when the same number is divided by $$9$$ is
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A box of dimension $$40\times35\times28\text{ units}$$ is used to keep smaller cuboidal boxes so that no space is left between the boxes. If the box is packed with $$100$$ such smaller boxes of the same size, then dimension of the smaller box is
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The number of two digit numbers which are divisible by the sum of their digits is
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Given below is the triangular form of AMTI. The number of ways you can spell AMTI, top to bottom, right to left or left to right or a combination of these is

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The number of odd prime numbers less than $$100$$ which can be written as the sum of two squares is
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If $$4921\times D=ABBBD$$ then $$B$$ is
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$$36$$ children took a math talent test. For a contestant Anu the number of students who scored above her was $$1.5$$ times the number who scored below her. Her rank when the scores are put in decreasing order is
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Small rectangular sheets of length $$\frac{2}{3}$$ units and breadth $$\frac{3}{5}$$ units are available. These sheets are assembled and pasted in a big cardboard sheet, edge to edge and made into a square. The minimum number of such sheet required is
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Ramanujan's number is $$1729$$. The number of composite divisors of $$1729$$ less than $$1729$$ is
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$$N$$ is an $$100000$$ digit number with no zero digit and the sum of the digits of $$N$$ is $$100001$$, then the number of such $$N$$s is
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Peter $$8$$ years old asked his mother how old she was. She said, "when you are as old as I am now, I will be $$54$$ years old". Peter's mother's current age is
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A string of beads has a recurring pattern as follows: $$5$$ blue, $$4$$ black, $$4$$ white, $$5$$ blue, $$4$$ black, $$4$$ white and so on. The colour of the $$321^{\text{st}}$$ bead is
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