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Andy spent Rs. 450 in fencing the parallelogram shaped land (leaving 0.5 m for the gate) that he had before. If Andy would start from a point 5 m away from A (on side AB) and take the shortest possible path to the opposite side, he would reach exactly at D. As you know Land Grabbers restructured Andy’s land to be a rectangle having the same base and same width. Find the cost of fencing the new land in the same way at Rs. 6 /m.

Simplify, $(\frac{1}{3}{)}^2\times 3^{-2}$

How many right angles are there in a cubical room? [1 MARK]

Sunil and his father's age are in the ratio 3:7. Four years later the sum of their ages will be 78 years. What are their present ages?

Rahul's age is five more than twice his son's age. If the son's age is $x$ years, then Rahul's age can be expressed as _____.

Find:

(a)
of
(i) 24 (ii) 46

(b)
of
(i) 18 (ii) 27

(c) of
(i) 16 (ii) 36

(d) of
(i) 20 (ii) 35

In a single day, a carpenter can build three tables and four chairs. If he sells one table and one chair in $\$x$ and $\$y$ respectively. Then select the correct expression for daily money earned(in dollars) by the carpenter.

One angle of a right-angled triangle is 70${}^{\circ }$. Find the other acute angle.

The minterm expansion of $f(P,Q,R)=PQ+Q\overline{R}+P\overline{R}$ is

What are the coordinates of the point where the lines $y=6$ and $x=-6$ intersect?

1. 75

Three rays originates from a point as shown. $\angle$AOB is ${60}^{\circ }$ and $\angle$AOC is ${15}^{\circ }$. Find $\angle$BOC.

Question 24

Fill in the blanks to make each statement true:

On substracting 8 from x, the result is 2. The value of x is ..................

Let the
production function of a firm be
.

Find out
the maximum possible output that the firm can produce with 100 units
of L and 100 units of K.

Among two supplementary angles, the measure of the larger angle is ${44}^{\circ }$ more than the measure of the smaller. find their measure.

What is the multiplicative inverse of 0?

Subtract $-5a^2-2a+1$ from the sum of $4a^2+3-7a$ and $8a-7$

After nearly 5-6 km, Jack could now see the city vaguely. He was so particular about time that he used to note down the distance and the time he took to go to office every day. He had a picture of one of those notes on his tablet. Now using the data from the picture, find out how many minutes will Jack roughly take to reach Cottage city if it is still 4 km away?

$6+28÷7-3$ = ___

Find the value of $angle$ x in the following figure.

The centre of mass of a triangular lamina is

In a right angle $\Delta$, if one acute angle measures $x^{\circ }$, then the measure of the other acute angle is ___

The order of rotation of a rectangle is ___.

Solve : $\frac{5x}{8}>\frac{15}{8}$

Question 88

A road crosses a railway line at an angle of ${30}^{\circ }$ as shown in the figure. Find the values of a, b and c.

1. 10

Two points P & Q are marked on the number line as shown in the figure. The co-ordinate of Q is 9 and the distance between them is 17 units. Then find the co-ordinate of P.

Kumar finds that the bank balance shown by his cash book on December 31, 2010, is Rs. 90,600 (Credit) but the pass book shows a difference due to the following reason

A cheque (post dated) for Rs. 1,000 has been debited in the bank column of the cash book but not presented for payment. Also, a cheque for Rs. 8,000 drawn in favour of Manohar has not yet been presented for payment. Cheques totalling Rs. 1,500 deposited in the bank have not yet been collected and a cheque for Rs. 5,000 has been dishonoured.