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If the roots of the equation:$a{x}^2+bx+c=0,a>0$ be each greater than unity, then:

What is the average percentage of marks obtained by all the students in subject T?

A test has 50 questions. A student scores 1 mark for a correct answer, $\frac{-1}{3}$ for a wrong answer, and $\frac{-1}{6}$ for not attempting a question. If the net score of a student is 32, the number of questions answered wrongly by that student cannot be less than

Given that $\sum _{x=1}^n$(x+1)(2x+3) = $p{n}^4+q{n}^3+r{n}^2+\frac{7}{3}n+s$, then

$i)p=\frac{1}{2},q=\frac{8}{3}ii)p=\frac{1}{3},q=\frac{1}{4}iii)r=\frac{9}{2},s=0iv)r=\frac{5}{6},s=0$

Read the information given in the passage and answer the given questions.
There are 19000 students in college P. Each of them is studying either one or more of the given languages Japanese, Korean and Latin. The ratio of male to female students is 9: 11. 14% of the male students study only Japanese, 12% study only Korean and 20% study only Latin. 16% of the male students study only Japanese and Korean, 22% study only Korean and Latin and 8% study only Japanese and Latin. The remaining male students study all the given languages. 22% of the female students study only Japanese, 18% study only Korean and 20% study only Latin. 12% of the female students study only Japanese and Korean, 16% study only Korean and Latin and 10% study only Japanese and Latin. The remaining female students study all the given languages.

The number of male students who study more than one of the given languages is what percent more than the number of female students who study more than one of the given languages?

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An isosceles triangle is inscribed in a circle such that one of its sides is the diameter of the circle. Find the measure of the side of the triangle(other than diameter) if the radius of the circle is 8 m.

Ahmed and Sahil set out together on bicycle traveling at 15 and 12 kilometers per hour, respectively. After 40 minutes, Ahmed stops to fix a flat tire. If it takes Ahmed one hour to fix the flat tire and Sahil continues to ride during this time, how many hours will it take Ahmed to catch up to Sahil after fixing flat tire assuming he resumes his ride at 15 kilometers per hour? (consider Ahmed's deceleration/acceleration before/after the flat to be negligible)

Q23. The difference of two numbers is 25% of the larger number. If the smaller number is 30, then the larger number is:

A cone has a circular base of radius 2 units and vertex of height 5 units directly above the centre of the circle. A cube is formed directly above the centre of the circle. The cube has four vertices in the base and four on the sloping sides. What is the approximate length of each side of the cube?

Which word/number would be at seventh position from the left in step IV?

If in a $\Delta$ABC, $\frac{cosA}{a}=\frac{cosB}{b}=\frac{cosC}{c}$, then what can be said about the triangle?

There are 170 people each one of them likes at least one of the fruits, 60 like grapes, 40 like papaya, 50 like watermelon and 70 like pomegranate. If there are exactly 10 people who like all four fruits. Then, find the maximum number of people who like only watermelon: -

Find the next number in the sequence.

75, 65, 85, 55, 45, 85, 35, __

|2x - 3| < |x + 5|, then x belongs to?

In military code TARGET is coded as RATTEG. Using the same code BRIDGE could be written as:

An equilateral triangle plate is to be cut into n number of identical small equilateral triangle plates. Which of the following can be a value of n?

In a row of children, Deepti is 9${}^{th}$ from the left and Kashish is 13${}^{th}$ from the right. They exchange their positions and then Deepti becomes 17${}^{th}$ from the left. What is the new position of Kashish from the right end of the row?

Areas of three adjacent sides of a cuboid are a,b,c. Volume of the cuboid is N. The value of N${}^2$ equals to?

In an isosceles triangle if one of the angle measures 140${}^0$, find the measure of the smallest angle.

Study the following graph carefully and answer the questions given below it

Q14. Ratio of expenditure of company A’s and B’s was 3:4 respectively. What was the respective ratio of their income in 1999?

Read the information carefully and answer the following questions.
(i) ${}^{\prime }A+B^{\prime }$ means 'A is the father of B'.
(ii) ${}^{\prime }A\times B^{\prime }$ means 'A is the sister of B'.
(iii) ${}^{\prime }A\$B^{\prime }$ means 'A is the wife of B'.
(iv) ${}^{\prime }A\%B^{\prime }$ means 'A is the mother of B'.
(v) ${}^{\prime }A{B}^{\prime }$ means 'A is the son of B'.
Which of the given expression indicates that M is the daughter of D?

How many footballers have an average more than that of Messi's?

Q16. A solid cube is cut into eight equal smaller cubes. What is the ratio of the total surface area of these eight smaller cubes and the surface area of the original cube?

एक ठोस घन को आठ बराबर-बराबर छोटे घनों में काटा जाता है। इस आठ छोटे घनों के कुल पृष्ठीय क्षेत्रफल और वास्तविक घन के पृष्ठीय क्षेत्रफल का अनुपात क्या है?

If the unit of length and breadth is cm then the unit of area is:

Which of the following cannot be seated at either end?

If the amount of profit earned by company B in the year 2007 was Rs. 7.56 lakhs, what was the profit earned by B in the year 2005?

Let f(x) = $\frac{2}{4^x+2}$ for x ϵ Real numbers. Find out the value of $f\left(\frac{1}{2001}\right)$ + $f\left(\frac{2}{2001}\right)$+ ...... + $f\left(\frac{2000}{2001}\right)$

Input: world 23 new 47 major 13 62 desk

Which of the following will be the Step V for the above input?

A student has to obtain 30% of the total marks to pass. He got 150 marks and failed by 30 marks. The maximum marks are

The average of 26, 29, n, 35 and 43 lies between 25 and 35. If n is always an integer and greater than the average of the given integers then the value of n is :

In the figure, O is the centre of the circle, find $\angle x+\angle y$?

A class consists of 20 boys and 30 girls. In the mid-semester examination, the average score of the girls was 5 higher than that of the boys. In the final exam, however, the average score of the girls dropped by 3 while the average score of the entire class increased by 2. The increase in the average score of the boys is

In the quadrilateral ABCD, AC = 7 cm, BD = 8 cm and $\angle AXD={60}^{\circ }$. Find the area of ABCD.

Sanjeev can run one km in 3 minutes 10 seconds and Motiani can run the same distance in 3 minutes 20 seconds. If they start together, by what distance can Sanjeev beat Motiani in that race?

P and Q invest in a business in the ratio of 7:3. If 15% of the total profit goes to charity and P's share is Rs. 1190, the total profit is -

In a hostel, there are 250 students. 120 watch new channels, 80 watch sports channels and 90 watch music channels. Each channel telecasts the content as per their nature. 50 students watch both news and sports channel 60 students watch both sports and music channel and 65 students watch both news and music channels.
What is the minimum number of students who watch at least one of the given channel?

A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?

A bacterium divides once in every 25 minutes. If a culture containing ${10}^4$ cells per ml is grown for 3 hrs short of 5 minutes. What will be the cell concentration per ml?