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The coefficient of $x$ in the equation $a{x}^2+bx+c=0$ was wrongly taken as $17$ instead of $13$ & its roots were $-2,-15.$ Actual roots are

Using property of proportion solve for X

(1+x+x^2)/(1-x+x^2)= 49(1+X)/63(1-x)

eight men and twelwe boys can finish a piece of work in 10 days while six mens and eight boys can finish a work in 14 days. find the number of days taken by one man alone to complete the work and also one boy to complete the work.

By what number is (a+bx) to be divided in order to get ‘a’ as the quotient and ‘b’ as the reminder?

a boat takes 2hrs to travel 8km and back in still water lake.with water velocity of 4kmph,the time taken for going upstream of 8km and coming back is

Find n and a_n where a=2, d=8 ,S_{n =90}

Three numbers whose sum is 21 are in A.P. If 2,2,14 are added to them rwspectively, the resulting numbers are in G.P. Find the numbers in A.P.

Mr. Tiwari has a saving account in some bank. Following are the entries of his passbook:

$\begin{array}{ccccc}Dateyear2007& Particulars& WithdrawalsRs.P& DepositeRs.P& BalanceRs.p\\ January& B/F& & & 1276.38\\ January& Bycheque& & 2307.25& 3583.63\\ March07& Toself& 2000.00& & 1583.63\\ March25& Bycash& & 6200.00& 7783.63\\ June10& Tocheque& 4500.00& & 3283.63\\ July16& Byclearing& & 2628.70& 5912.33\\ October20& Tocheque& 524.50& & 5387.83\\ October25& Toself& 2700.00& & 2687.83\\ November5& Bycash& & 1500.00& 4187.83\\ December3& Tocheque& 1000.00& & 3187.83\\ December25& Bytransfer& & 2927.50& 6115.33\end{array}$

What will be the interest due to him for the year 2007 at 4.5% per annum if the interest is paid once in a year at the end of December? Also, find the total amount that he will receive on 11th January, 2008, if he plans to close his account.

Find the least positive integer which if diminished by 5 is exactly divisible by 36 and 54.

The square of a positive integer cannot be of the form of (K is some integer)

A}3k+1. B}4k+2 C}5k+1. D}5k+4

Two ships A and B, lies 33 m apart on the sea surface. There is submarine 'C' on the sea bed. The angle of depression of C from A is 60^o and the distance AC is 40 m. Calculate the distance BC.

A farmer has 70m of fencing, with which he encloses three sides of a rectangular sheep pen; the fourth side being a wall. If the area of the pen is 600sq.m , find the length of its shorter side.

In the adjoining figure AB is a diameter of the circle and $\angle$BCD = ${130}^{\circ }$. What is the value of $\angle$ABD?

_{x^2+1/x^2=47 then x^2-1/x^2=?}

Two different dice are rolled together. Find the probability of getting:
(i) The sum of numbers on two dice to be 5.
(ii) Even numbers on both dice.

Ashish bought 496 Rs 100 shares at Rs 132 each, at rate of dividend 7.5% and get some income. How much extra she must invest in order to increase her income by Rs 7200

Given that an A.P. has first term as 5 and the common difference as 2. What is the A.P.?

Pavan filled water in a cylindrical vessel of radius $7cm$ and height $14cm.$ Then he gently dropped a spherical ball of radius $0.7cm.$ By how much should the height be increased if he doesn't want water to overflow when the spherical ball is dropped into it? Give the answer in micrometers and correct up to two decimal places.

___ $\mu m$

The coordinates of the mid-point of the line segment joining the points (2,1) and (1,-3) is

In the given figure, O is the center of the incircle of $△$ABC. If $\angle BAC$ = ${65}^{\circ }$ and $\angle BCA$ = ${75}^{\circ }$, then find $\angle ROQ$.

Alpha and beta are roots of this equation; 4_x²-7x+3=0 then find alpha cube + beta cube and also find 1 upon alpha square + 1 upon beta square

(i) Point P (a, b) is reflected in the x-axis to P' (5, -2). Write down the values of a and b.

(ii) P" is the image of P when reflected in the y-axis. Write down the co-ordinates of P".

(iii) Name a single transformation that maps P' to P".

Mrs. Geeta deposited Rs 350 per month in a bank for I year and 3 months under the Recurring Deposit Scheme. If the maturity value of her deposits is Rs 5,565; find the rate of interrest per annum.

Pls explain me how to get the answer

What is he degree of polynomial p(x)=ax⁴+bx³+cx²+dx+e

a/b=0&b≠0

A={x:x is the factor of 24,x belongs to N}

B={x:x is the prime number,x<30}

Then find AUB, A intersection B, A-B, B-A.

Q54. Country's first multi-modal electric vehicle project was recently launched in:

Two circles touch each other externally at C and AB is a common tangent to the circles. Then, ∠ACB=

If A ∝ B then :

Finding the square root of the polynomial $x^4-4x^3+10x^2-12x+9.$

If a matrix has 15 elements, what are the possible orders it can have?

Find the sum of the first 40 positive integers divisible by 6.

The sum of 'r' terms of an AP is $(2r^2+3r)$. Find its $n^{th}$​ term.

AB is the diameter of the circle.CD is parallel to AB,$\angle CAB={32}^{\circ }$. Find $\angle ADC$.

If y is directly proportional to x, then the ratio of y to x is always

Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?

The value of x, y in the following
2^{x + 2} - 3^{y + 1} = 5 ………(1)
2^x + 3^y = 17 ………(2)

What is the relation between AM & MB in the given figure?

Question 5
The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches.

$\begin{array}{cc}Numberofstudentsperteacher& Numberofstates/U.T\\ 3000-4000& 4\\ 4000-5000& 18\\ 5000-6000& 9\\ 6000-7000& 7\\ 7000-8000& 6\\ 8000-9000& 3\\ 9000-10000& 1\\ 10000-11000& 1\end{array}$

Find the mode of the data.

If $\left[\begin{array}{cc}1& 4\\ -2& 3\end{array}\right]+2M=3\left[\begin{array}{cc}3& 2\\ 0& -3\end{array}\right]$
Find the matrix M.

If dividend = $x^4+x^3-2x^2+x+1$ and divisor = $(x-1)$, find the quotient, $q\left(x\right)$ and remainder $r\left(x\right)$.

In fig.3, a square OABC is inscribed in a quadrant OPBQ of a circle. If OA = 20cm, find the area of the shaded region (Use $\pi =3.14$)

Two numbers are in the ratio 3: 5. If 8 is added to each number, the ratio becomes 2: 3. Find the numbers.

A vessel is in the form of an inverted cone. Its height is 11 cm. Its top is open and has radius of 2.5 cm. The vessel is filled with water up to the rim. When spherical lead shots of radius 0.25 cm are dropped into the vessel, ²/₅^th of the water flows out. Find the number of lead shots dropped into the vessel.

In a quadratic equation with leading coefficient 1,a student reads the coefficient 16 of x wrongly as 19 and obtain the roots as -15 and -4, the correct roots are