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P and Q undertake a work for Rs.560. P and Q can complete the work in 6 days and 8 days, respectively. With the help the R completed the work in 3 days. Find the share of Q.

There are a certain number of chairs inside the hall. If the chairs are arranged 5 chairs per row, 7 chairs per row, and 8 chairs per row then 3, 2 and 5 chairs remain respectively. It is known that there are more than 600 chairs and less than 700 chairs inside the hall. Find the number of chairs remaining if the chairs are arranged 13 chairs per row.

There are several boxes with coins bearing a value (1 to n) each. The coins in different boxes are grouped as follows:- 1(first box), 2+3(second box), 4+5+6(third box), 7+8+9+10(fourth box), ..... and so on. The value of the coins in the 15th box is:

If α and β be the roots of the equation $2x^2+2(a+b)x+a^2+b^2=0$, then the equation whose roots are $(\alpha +\beta {)}^2$ and $(\alpha -\beta {)}^2)$ is

In the given diagram CT is tangent at C, making an angle of $\frac{\pi }{4}$ with CD. O is the centre of the circle. CD = 10 cm. What is the perimeter of the shaded region $\left(\Delta AOC\right)$ approximately?

Q70. Find the next number in the given number series:

1, 2, 9, 28, 65, 126, ?

दी गई संख्या श्रृंखला में अगली संख्या ज्ञात कीजिए?

1, 2, 9, 28, 65, 126, ?

In a certain examination paper, there are n questions. For j = 1,2 ...n, there are $2^{n-j}$ students who answered j or more questions wrongly. If the total number of wrong answers is 4095, then the value of n is:

At what time will the train reach city A from city B?

I. The train crosses another train of equal length of 300 metres and running in opposite direction in 22.5 seconds.

II. The train leaves city B at 8.15 a.m. for city A situated at a distance of 837 km.

III. The train crosses a lamp post in 15 seconds.

Directions:- Study the following information carefully to answer the question given below.

Nine children A, B, C, D, E, F, G, H and l are playing with a rope. They make different shapes of that rope. Eventually, they made an equilateral triangle of that rope and stood over the three different sides at the equal distance.
(i) There are two children between A and C.
(ii) The adjacent neighbours face opposite sides, except two neighbours.
(iii) If D and E exchange their places E becomes in between A and I.
(iv) H and I are opposite to each other.
(v) G faces outside the triangle while his neighbours face in the opposite directions.
(vi) E is between A and H.
(vii) B and C are at the extreme ends of one of the vertexes of the triangle.
(viii) There is one child between B and D as well as between B and F.
(ix) I is the third to the left of F.

Who two neighbours face in the same direction?

Q30. A beauty products shopkeeper purchased products worth Rs. 12,000 from a company. She sold 1/4^thpart of the products at 40% loss. At what gain percentage should she sell the rest of the products so that she accrues neither gain nor loss?

ब्यूटी प्रॉडक्ट की एक दुकानदार ने एक कंपनी से 12,000 रू. मूल्य के प्रॉडक्ट खरीदे। उसने ¼ हिस्सा 40 % की हानि पर बेचा। उसे शेष प्रोडक्ट कितने % लाभ पर बेचना चाहिए ताकि उसे लाभ या हानि न हो?

Study the following table carefully and answer these questions given below (figures in 10,000):
Number of five cars produced and rejected (for defects) by a company over the years
$\begin{array}{ccccccccccc}Car& A& & B& & C& & D& & E& \\ Year& Produced& Rejected& Produced& Rejected& Produced& Rejected& Produced& Rejected& Produced& Rejected\\ 2003& 20& 2& 50& 3& 15& 0.5& 80& 5& 60& 4\\ 2004& 35& 3& 45& 2& 20& 0.55& 75& 4& 58& 4\\ 2005& 15& 0.5& 40& 2.5& 17& 0.7& 58& 2& 62& 3.5\\ 2006& 25& 0.25& 42& 2.3& 25& 1.5& 65& 3& 40& 1.5\\ 2007& 30& 1.5& 48& 2.5& 30& 2.0& 68& 3& 45& 2\\ 2008& 27& 1.5& 41& 2.1& 26& 1.75& 72& 3.5& 50& 2.3\end{array}$

In case of E type cars, in which year was the ratio of rejection to production the lowest among the given years?

Frank and Joe are playing ping pong. For each game, there is a 30% chance that Frank wins and a 70% chance that Joe wins. During a match, they play games until someone wins a total of 21 games. What is the expected value of number of games played per match?

For which of the following years, percentage increase/decrease in the number of students studying Commerce with respect to the previous year the maximum?

The sum of $\frac{1}{\sqrt{2}+1}+\frac{1}{\sqrt{3}+\sqrt{2}}+\frac{1}{\sqrt{4}+\sqrt{3}}+.....+\frac{1}{\sqrt{100}+\sqrt{99}}$ is equal to

Q7. If ☆ means 'x', Δ means `÷', ǿ means ‘+’, Φ means ‘-’, ‡ means ‘=’, ‘∂’ means 'greater than' and ♥ means 'less than’, then which one of the following is a correct relationship?

In a chess tournament, a player gets one point for every game won, $\frac{1}{2}$ point for a draw and 0 point for a loss. A grandmaster played 11 games without losing and scored 9 points. How many games did he win?

Let a, b, c, d and e be distinct integers such that (6 - a) (6 - b) (6 - c) (6 - d) (6 - e) = 45. What is a+b+c+d+e?

In the adjoining figure $\angle ACE$ is a right angle there are three circles which just touch each other and AC and EC are the tangents to all the three circles. What is the ratio of radii of the largest circle to that of the smallest circle ?

Q22. If the cost price of 20 pens is equal to the selling price of 15 pens, what is the profit in percentage?

यदि 20 कलम का लागत मूल्य 15 कलम के विक्रय मूल्य के बराबर है, तो % लाभ कितना है?

What is Z's house number?

The sum of infinite terms of the G.P. $1,\left(\frac{1}{3}\right),\left(\frac{1}{9}\right),$....... is

A, B and C can do a piece of work in 80 days. If A is twice as efficient as B who is twice as efficient as C, then in how many days C alone takes to complete the work?

Y percent of X is equal to X percent of (X + Y). Then value of X is

If the average sales per year from 1991 to 1994 was double the sales in 1990 and the domestic production in 1990 was 15% more than the average production from 1991 to 1994. The percentage excess of domestic production over sales in 1990 was closest to

The fourth, seventh and tenth terms of a G.P. are p, q, r respectively, then:

The number of significant figures in 3256 is:

To build a house at a faster place, the contractor increases the wages/ hour of each worker by 20% and the working hours by 25%. By how much percent has the daily earnings of each labourer increased?

How many numbers (N) can we have, such that 100<N<1000 with the sum of the digits of these numbers as 10?

$\text{If g=2x+5,}h=\frac{1}{3}(3x-1)\text{and g:h=3:2, find x.}$

In the figure shown below the circles with centers O and R each have a radius of 2. If PQ=1, then the perimeter of rectangle KLMN is ___.

If p, q, r be three positive numbers such that p > q > r. When the smallest number is added to the difference of the rest two numbers, then the average of the resultant number and the original numbers except to the smallest number is 21 more than the average of all the three original numbers. The value of (p-q) is :

If ABC is a quarter circle and a circle is inscribed in it and if AB = 1 cm, find the radius of the smaller circle.

A maximum of how many students might have obtained a grade point of 3 in at least three subjects?

The number of Staff members entering the precinct at 12:00 hrs and 13:00 hours respectively couldn't have been:

Find the sum of given series $S_n$ = 4 + 44 + 444 + 4444 + ...................n terms

During which 2-hour interval during the day is the collection amount maximum?

The square root of a natural number is equal to K times its cube root. The number must be

Three of the six vertices of a regular hexagon are chosen at random. The probability that the triangle with these three vertices is equilateral equals:

Find the number of solutions of the equation $x^{x-1}+x^{1-x}=\frac{13}{7}.$

A batsman scored 140 runs which included 2 boundaries and 8 sixes what % of his total score did he make while running between the wickets

$\text{Find the value of}{a}^3+a^2+a+1,\text{where 'a' satisfies the equation :}\frac{4x+3}{2x+7}=\frac{2x-7}{x+2}$