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If each element of a second order determinant is either zero or one , then the probability that value of the determinant is negative is

sin10°+sin20°+sin30°+....+sin360°=?

Ans given is 0

A taxi charges a flat rate of Rs. 1.75, plus an additional Rs. 0.65 per mile. If Erica has at most Rs.10 to spend on the cab ride, how far could she travel?

A road roller used for levelling a road of width 2m. It was observed that, the road roller required 25 complete revolutions to complete the levelling of road. If the diameter and length of roller is 7m and 2m respectively, then length of road is [use $\pi$ = 3.14].

Find the value of $\sin {45}^{\circ }+\sin {45}^{\circ }$

Solve the following pair of equation

$\frac{5}{x-1}$ + $\frac{1}{y-2}$ = 2

$\frac{6}{x-1}$ - $\frac{3}{y-2}$ = 1

If a polynomial of degree 7 is divided by a polynomial of degree 3 then find the degree of quotient

Use Euclid's Division Algorithm to find out the HCF of 441,567, and 693.

Given $A=\left[\begin{array}{cc}1& 3\\ 2& 4\end{array}\right];B=\left[\begin{array}{cc}4& 2\\ 1& 0\end{array}\right];C=\left[\begin{array}{cc}1& 2\\ 3& 4\end{array}\right]$

Find A(B+C)

2x²-5x-3=0

Two numbers are in the ratio 1:2. If 7 is added to both, their changes to 3:5. The greatest number is :

The dimensions of the model of a multistorey building are $1.2m\times 75cm\times 2m$. If the scale factor is 1:30; then the actual dimensions of the building are

A purchases an article for Rs. 3,100 and sells it to B for Rs. 4250. B in turn sells it to C for Rs. 5000. If VAT is 10%, find the VAT levied on A and B.

Find the equation of the line with x-intercept 5 and a point on it (-3, 2).

If $(a+b)=5$ and $ab=6$,find the value of $a^2+b^2$; $a>b$

In a class of 50 students, the ratio of number girls to boys is 3:2. How many more boys needs to be added to the class as to make the ratio 1:1?

In a trapezium ABCD, AB II DC and DC = 2 AB. FE drawn parallel to AB cuts AD in F and BC in E such that 4BE = 3EC. Diagonal DB intersects EF at G. Prove that 7FE = 10AB.

If the ratios of areas of two similar triangles are 81: 49 the ratios of their corresponding angle-bisector segments is:

In the given figure, triangles ABC and DEF are similar. The area of triangle ABC is 9 sq. cm and the area of triangle DEF is 16 sq. cm. If BC = 2.1 cm find the length of EF.

If the perimeter of a sector of a circle of radius 5.2 cm. is 16.4 cm. What multiple of the radius is the area of the sector?

The volume of the largest sphere that can be carved out of a cube of side 7cm is

If tangents $PA$ and $PB$ from a point $P$ to a circle with centre $O$ are inclined to each other at an angle of 80^o then $\angle POA$ is equal to

If the mean of the data given below is 18, find R ?

Probability of an event E, is given by P(E) $=\frac{NumberofoutcomesfavourabletoE\left(m\right)}{Numberofallpossibleoutcomesoftheexperiment\left(n\right)}$
Which of the following options correctly explains the relationship between m and n?

An amount of Rs. 7500 is borrowed at compound interest at the rate of 4% per annum. The amount to be paid after 2 years is _______.

Determine the value of k for which $k^2+4k+8,2k^2+3k+6$ and $3K^2+4k+4$ are in A.P.

Which of the following statement is / are correct for equation 2x - 3y + 5 = 0

1. Slope of the straight line is $\frac{2}{3}$

2. x-intercept of the straight line is $\frac{-5}{2}$

3. y-intercept of the straight line is $\frac{5}{3}$

A survey was done in a Housing Society where the number of Vehicles were categorized according to their Mileage.

The Graph Given shows the Histogram for the Mileage vs The number of vehicles present.

Which of the Following Frequency distribution table is correct for the Graph?

Ice cream rates for a Vanilla brick for 12 months of a year are given :

January - Rs.190 , February - Rs.210 , March - Rs.250 , April - Rs.200 , May - Rs.225 , June - Rs.265 ,

July - Rs.270 , August - Rs.240 , September - Rs.217, October - Rs.203 , November - Rs.180, December - Rs.170

Find the Median of the rates.

Is $\sqrt{x}=4$ linear equation? If not then how the equation can be made linear.

Let $A=\{a,b,c,d\}andB=\{b,d,f,g\}$. Find $A\Delta B$

The following data shows monthly savings of 100 families. Find the range of difference between the modal and mean monthly savings.

$$\begin{array}{cc}Monthlysavings\left(Rs\right)& Numberoffamilies\\ 1000-2000& 14\\ 2000-3000& 15\\ 3000-4000& 21\\ 4000-5000& 27\\ 5000-6000& 25\end{array}$$

The interior angles of a convex polygon are in Arithmetic Progression. The smallest angle is ${120}^{\circ }$ and the common difference is $5^{\circ }$. What is the number of sides of the polygon?

Prove analytically that the line segment joining the middle points of two sides of a triangle is equal to half of the third side.

Cards marked with numbers 1,3,5,..., 101 are placed in a bag and mixed thoroughly. A card is drawn at random from the bag. Find the probability that the number on the drawn card is (i) less than 19, (ii) a prime number less than 20.

Find the value (s) of k for which the points $(3k-1,k-2)$, $(k,k-7)$ and $(k-1,-k-2)$ are collinear.

Two poles of height 18 m each are standing opposite each other on either side of the road. From a point between them on the road, the angles of elevation of the top of the poles are ${60}^{\circ }$ and ${30}^{\circ }$ respectively. Find the width of the road.

Question 101

A large square is made by arranging a small square surrounded by four congruent rectangles as shown in the given figure. If the perimeter of each of the rectangle is 16 cm, find the area of the large square.

Which of the following is a cubic polynomial?

From an A.P. 5 consecutive terms are required to be written. The central term out of the five terms is given as 5 and it’s informed that the common difference of the A.P. is 4. Write the 5 terms in the correct sequence.

The maturity value of a R.D. Account is Rs 16,176. If the monthly instalment is Rs 400 and the rate of interest is 8%; find the time (period) of this R.D. Account.

The point (-4, -2) lies on a circle. What is the length of the radius of this circle if the centre is located at (-4, 4)?

Separate the variables in the below given equation.

7x - 2y = 5xy

After separating the variables equation is of the form

$\frac{7}{\square }$ - $\frac{2}{\square }$ = 5

9($cosec\theta -cot\theta$) ($cosec\theta +cot\theta$)

Divide 32 into four parts which are in AP such that the product of extremes is to the product of means as 7 :15.