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Q65. A certain company currently has how many employees?

1. If 3 additional employees are hired by the company and all of the present employees remain, there will be at least 20 employees in the company.

2. If no additional employees are hired by the company and 3 of the present employees resign, there will be fewer than 15 employees in the company.

There is a family of rectangles with area A such that A is a natural number and the maximum value that A can take is 1100. The length and breadth of the rectangle are denoted by L and B respectively. (L${}_i$, B${}_i$) represents a solution to the equation LB = A. If A${}_k$ is defined as a set containing all distinct values of L${}_i$ for which LB = A, then which of the following best describes the value of A for which A${}_k$ has the maximum number of elements. (Assume horizontal and vertical rectangles are different from each other).

The denominator of a fraction exceeds its numerator by 1. Two thirds of the fraction exceeds one third of the fraction by $\frac{1}{6}$. The original fraction is

The perimeter of an equilateral triangle is 21 m more than the perimeter of a square. If the respective ratio between the side of the triangle and the side of the square is 9:5, what is the area of the square?

Find S1+S2+S3.....S10 given that Sn= 1+2+3+4.....n

Study the following information carefully and answer the given questions:

A word and number arrangement machine when given an input line of words and numbers rearrange them following a particular rule in each step. The following is an illustration of input and rearrangement.

Input: gain 96 63 forest 38 78 deep house
Step I: deep gain 96 63 forest 38 78 house
Step II: deep 38 gain 96 63 forest 78 house
Step III: deep 38 forest gain 96 63 78 house
Step IV: deep 38 forest 63 gain 96 78 house
Step V: deep 38 forest 63 gain 78 96 house
Step VI: deep 38 forest 63 gain 78 house 96

And Step VI is the last step of the rearrangement of the above input.
As per the rules of followed in the above steps, find out in each of the following questions the appropriate step for the given input

Input: service 46 58 96 of there desk 15
Which of the following will be Step VI for the given input?

Approximately what was the total number of candidates selected from Commerce and Agricultural discipline together?

Find the number of 4 digit numbers which are divisible by 11 or 13 but not by 17?

The sum of factors of a number N is 124. Between which of the following ranges does N lie?

If in 1987 the garments were exported at the same rate per piece as that in 1985, what would be the approximate value of exports (in crores) in 1987?

1. 7

How many individuals in this layout can be reached by just one individual?

"रोज़ की तरह आज वह तर माल अपने लिए न रख सकती थी।"

इन चीज़ों को तुम क्या नाम देना चाहोगी? सुझाओ।

Write the following expression using a simpler notation:

$x+x+x+x$

If (p-q) , x and (p+q) are in arithmetic progression , then x =

Arul has 16 Apples, Raghav has 32 Apples, Ramesh has 48 Apples. The number of apples they possess forms an A.P with a common difference of

There are 30 students in a class whose average age is 20 years. The average age of the boys in the class is 3 less than the average age of the girls in it. If the age of their class teacher, which is between 49 years and 54 years is included with boys, the average age of the boys equals to that of the girls. If the average age of boys as well as the average age of girls are integers, then how many boys are there in the class?

the point on the parabola $y^2=4x$ which is closet to the circle $x^2+y^2-24y+128=0$ is

The mean marks of 20 students in Physics is 45. If each student was given additional 10 marks, the mean marks of 20 students will be:

The angle of elevation of an aeroplane from a point on the ground is ${45}^{\circ }$. After a flight of 15 seconds, the angle of elevation changes to ${30}^{\circ }$. If the aeroplane is flying at a height of 3000 m, then find the speed of the plane.



$(\text{Take}\sqrt{3}=1.732)$

The condition that roots of the equation $x^3-p{x}^2+qx-r=0$ may be in A.P is:

If x $ϵ$ R, and $\alpha =\frac{x^2}{(1+x^4)}$, then:

A factory announces a bonus of 10% to its employees. If an employee gets Rs 10,780, find his actual salary.

Three faucets P, Q and R can fill a tank in 24, 30 and 40 hours respectively. If P is open all the time and Q and R are open for 2 hours each alternately(start with Q), the tank will be full in?

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.

Which of the following are the neighbours of B?

In each question, three statements showing relationships have been given, which are followed by two conclusions I and II. Assuming that the given statements are true, find out which conclusion(s) is/are definitely true.
Statements: L T, P ? T, K $\$$ L
Conclusions:
I. L P
II. K T