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If initial velocity is u and angle of projection is a, time taken to reach highest point is

In the given diagram AB || GH || DE and GF || BD|| HI, $\angle FGC={80}^{\circ }$.Find the value of $\angle CHI$ :

The total number of female employees in company J during all the given years together is what percent of the total number of male employees in company I during all the given years together?

Let $S_1$ be a square of side a. Another square $S_2$ is formed by joining the mid-points of the sides of $S_1$ . The same process is applied to $S_2$ to form yet another square $S_3$, and so on. If $A_1,A_2,A_3,.......$ be the areas and $P_1,P_2,P_3,.......$ be the perimeters of $S_1,S_2,S_3,.......$ , respectively, then the ratio $\frac{P_1+P_2+P_3+P_4+....}{A_1+A_2+A_3+A_4+....}$ equals : (CAT 2003)

Copy the worksheet in your notebooks and work in pairs to complete the worksheet to know all about yourself. This will enable you to discover your hidden strengths, work on your weakneses, and develop your personality.

Which algebraic expression among the following is a binomial?

If $A$ and $B$ are two events, then $P\left[\right(A\cap \overline{B})\cup (\overline{A}\cap B\left)\right]=$

If $\frac{13x^2+30x+17}{3x^2+14x+8}>3,$ then find the value of x, if $xϵR$ and $x\ne \frac{-2}{3},-4.$

A classroom has a certain number of benches. If 4 students sit on each bench, three benches are left unoccupied and if 3 students sit on each bench, 3 students don’t get a place to sit. What is the total number of students in the class?

Statements:

Some pins are clips.

Some clips are pens.

Conclusions:

I. Some pins are pens.

II. Some pins are not pens.

I have enrolled in PRMO can you give me a timetable to complete the maths course. My PRMO exam is on 19 August.

ACB is a right angled triangle, where AB=25, BC=20, AC=15. CD is the altitude. Circles are inscribed within the triangles ACD and BCD. P and Q are the centres of the circles. Find the sum of the inradii of ΔACD and ΔBCD.

What is the sum of first $10$ natural numbers?

Choose the correct option.

My parents ____coming with me this evening, won‘t they?

The following is the Wholesale Price Index (WPI) of a select list of items with the base year of 1993-94. In other words, all the item prices are made 100 in that year (1993-94). Price in all other year for an item are measured with respect to its price in the base year. For instance, the price of cement went up by $1\%$ in 1994-95 as compared to 1993-94. Similarly, the price of power went up by $3\%$ in 1996-97 as compared to 1993-94.



Let us suppose that one bag of cement (50 kg) consumes 100 kg of limestone and 10 unit of power. The only other cost item in producing cement is in the form of wages. During 1993-94, limestone, power and wages contribute, respectively, $20\%,25\%and15\%$ to the cement price per bag. The average operating profit (% of price per cement bag) earned by a cement manufacturer during 2002-03 is closest to

$M\times N:13\times 14::F\times R:?$

How many steps will be required to get the final output from the following input?

Input: 39 88 162 450 386 72 29

If an equilateral triangle is inscribed in a circle, then the ratio of the radius of the circle to that of the side of the triangle is -

How many pairs of positive integers (a, b) are there such that a and b have no common factor greater than 1 and $\frac{a}{b}+\frac{14b}{9a}$ is an integer?

2x${}^2$ + 11x + 14 = 0

4y${}^2$ + 12y + 9 = 0

How many steps are required to complete this arrangement?

A box contains $6$ nails and $10$ nuts. Half of the nails and half of the nuts are rusted. If one item is chosen at random, then find the probability that it is rusted or is a nail

Let $x\&y$ be two 2-digit numbers such that $y$ is obtained by reversing the digits of $x.$ Suppose they also satisfy $x^2–y^2=m^2$ for some positive integer $m.$ The value of $x+y+m$ is.

Find the number of natural number solutions of x${}_1$ + x${}_2$ + x${}_3$ + 3x${}_4$ = 15.

What values of x satisfy $x^{\frac{2}{3}}+x^{\frac{1}{3}}-2\le 0$?

Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?