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If Rs.2580 is divided between P, Q and R so that P's share is $\frac{3}{2}$ times Q's and Q's share is $\frac{7}{4}$ times R's. R's share is -

Suppose the union of sets S1 and S2 is X and S1, S2 have the same number of elements. If elements S1, S2 are chosen randomly it was found that by exchanging two elements of S1 with two elements of S2, every element of S1 was greater than that of S2. Find the no. of sets S1 that can be formed.

How many small cubes will have only one face coloured ?

Twelve persons meet in a room and each shakes hand with all the others. Find the number of handshakes.

The average age of n persons is 55.Two persons aged 41 and 47 respectively leave the group and three new persons aged between 60 and 65 join the group. If the average age of the group goes up by one year and if the initial number of people in the group is a multiple of 7, what is the number of persons now in the group?

If $(P_4,P_5)$ share a flat, then the other flat $P_4$ shares will be

Find the perpendicular distance of a right triangle's hypotenuse from its opposite vertex if the base and attitude of the triangle is 24 cm and 10 cm respectively.

Input: organize 19 12 stable room 35 72house

How many steps will be required to complete the arrangement?

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The integers 34041 and 32506, when divided by a three-digit integer N, leave the same remainder. What is the value of N?

A synthetically developed microorganism multiplies continuously by giving birth to two new cells once in every minute. At time t=0, a single such new micro-organism is placed in a petridish. If each microorganism lives for exactly 25 minutes, then find the total number of live microorganisms in the dish at the end of the ${20}^{th}$ minute?

Day’s first password for Batch I was – ‘ camel road no toy say me not”. What will be the password for fourth batch, i.e, 12 noon to 1 p.m?

In a certain code language, 35796 is written as 44887. How is 46823 written in that code?

Taps to a tank are switched on in the following manner. Tap 1 for the first hour. Tap 2 for the next two hrs and so on.The number indicated on each tap (1 for Tap number 1, 2 for tap number 2...) indicates its flow rate in litre/hr. These taps are filling a tank whose capacity is more than 1000 litre. Moreover the capacity cannot be expressed as a difference of squares of two numbers. Find the tap no that fills the tank assuming that the tank's capacity is minimum.

What is the percentage share of total tax collected in total revenue?

If there are no surprise wins (a lower ranked team beating a higher ranked team) in the first round, and only match Nos. 6, 7, 8 of the second round result in upsets, then who would meet Italy in quarter finals, in case Italy reaches quarter finals?

The remainder when 7^403 is divided by 100.

Please give me two methods so that i can comply please hurry i have a test tomorrow!

A string of certain length n makes one perfect turn around a cube of side A, starting from corner X and ending at Y (as in the fig). Find the length of the string.

Q. From the following, select the option which shows the relation ‘V is the granddaughter of R’?
Each of the following questions is based on the following information:
A % B means A is the son of B.
A B means A is the sister of B.
A $ B means A is the father of B.

Q. निम्नलिखित में से, उस विकल्प का चयन करें, जिसके अनुसार V, R की पोती है।
निम्नलिखित प्रश्नों में से प्रत्येक निम्नलिखित जानकारी पर आधारित है:
A% B का अर्थ है: A, B का पुत्र है।
A B का अर्थ है: A, B की बहन है।
A $ B का अर्थ है: A, B का पिता है।

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Find out the appropriate word which fits the 6th blank.

Study the following Table carefully and answer the questions that follow.

Note: Teacher Pupil Ratio = ‘n’ implies that there is 1 teacher for every ‘n’ students on an average;

Q15 If the total number of teachers in 2009-10 in Primary schools is 900, in Upper Primary Schools is 500 and those in High School is 350, the percentage(approximately) of the number of students in Primary School out of the total students in all schools in 2009-10 is?

Find the sum of the series :
$\frac{1}{2^2-1}+\frac{1}{4^2-1}+\frac{1}{6^2-1}+....+\frac{1}{{20}^2-1}$

What is the mascot of China?

Study the following Table carefully and answer the questions that follow

Note: Teacher Pupil Ratio = ‘n’ implies that there is 1 teacher for every ‘n’ students on an average;

Q14. he average Teacher pupil ratio from 2008-09 to 2014-15 is greater in which of the following segments?

The sum of the squares of first 26 natural numbers is

A man plants 15376 apple trees in his garden and arranges them so that there are as many rows as there are apple trees in each row. The number of rows are

On 23${}^{rd}$ Apr, 2001 it was Monday. What was the day of the week on 23${}^{rd}$ Apr, 2000?

The ages of Aashima and Apsara are in the ratio 9 : 8. What is the age of Aashima?

I. The ages of Aashima and Arpita are in the ratio 3 : 2.

II. After 6 years the ratio of Aashima's and Apsara's ages will be 11: 10.

2 cows and 7 calves can graze a field in 14 days. 3 cows and 8 calves can graze the same field in 11 days. Then 8 cows and 6 calves can graze 4 times the same field in how many days? It is known that, once grazed; the grass does not grow back

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The equation $x^2-ax+b=0$ and $x^2-cx+d=0$ have a common root. The other root of $x^2-ax+b=0$ is the square of the other root of $x^2-cx+d=0$, then

What is the position of ‘15’ in Step IX?

A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is:

Q30. In a group of buffaloes and ducks, the number of legs is 24 more than twice the number of heads. What is the number of buffaloes in the group?

Q66. A tourist drives 15 km eastward and turns right and takes a drive of 6 km. He again turns right to drive 6 Kms after which he turns left to drive 3 km. At this point, he turns right and drives 9 km. How far is he from his starting point and in which direction?

In the following figure, arc AB is a quadrant of the circle with centre at point O and radius 4 units. Further, OC = OD, OC:OA = 3:4. A circle C is drawn such that it touches the quadrant at the point Y and the mid-point of AB at X. What is the radius(in units) of the circle C?