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A teacher wrote a large number on the board and asked the students to tell about the divisors of the number of. The students said that the number was divisible by numbers from 2 to 31.The teacher said that two students answered wrongly if taken that each student told one number in order.Which two students answered wrongly?i

Side $BC$ of $\Delta ABC$ has been produced to $D$ on left and to $E$ on right hand side of BC such that $\angle ABD={125}^{\circ }$ and $\angle ACE={130}^{\circ }$. Then $\angle A=$ ?
(a) ${50}^{\circ }$
(b) ${55}^{\circ }$
(c) ${65}^{\circ }$
(d) ${75}^{\circ }$

If $3\frac{p}{q}=\frac{11}{3}$, where $3\frac{p}{q}$ is a mixed fraction, then the value of $\frac{p}{q}$ is:

By selling 66 metres of cloth, a person gains the cost of 22 metres. Find his profit %.

Match the digit cards and the smallest 4 digit number we can make without repeating those digits .

A 21m deep well with diameter 10m is dug up and the earth from digging is spread evenly to form a platform 22m*15m . Determine the height of the platform.

What is the correct way of representing $y<5$ on a number line $?$

Match the following column according to number of thier line of symmetry.

Question 76(i)

The drawing below (figure), show angles formed by the goalposts at different positions of a football player. The greater the angle the better chance the player has of scoring a goal, e.g. The player has a better chance of scoring a goal from position A than from position B.

Seven football players are practising their kicks. They are lined up in a straight line in front of the goalpost [figure (ii)]. Which player has the best (the greatest) kicking angle?

Shade:

(i) $\frac{1}{2}$ of the circles in box (a) (ii) $\frac{2}{3}$ of the triangles in box (b)

(iii) $\frac{3}{5}$ of the squares in box (c)

(a)	(b)	(c)

(a) 137
and −354 (b) − 52 and 52

(c) −
312, 39 and 192 (d) − 50, − 200 and 300

Question 99

A bowler throws a cricket ball at a speed of 120 km/h. How long does this ball take to travel a distance of 20 m to each the batsman?

Find the share of B if we divide ₹ 4500 between A and B in the ratio 1:2

Question 124

A student multiplied two mixed fraction in the following manner:$2\frac{4}{7}\times 3\frac{1}{4}=6\frac{1}{7}$
What error the student has done.?

463.5 should be divided by _____ to get 4.635.

Reduce these ratios to their simplest form.

In a two-digit number, ten’s digit is twice the unit’s digit. The number formed by interchanging the digits is 36 less than the original number. Find the number.

The following pie charts show the distribution of students studying Science and Commerce in three different schools namely A, B, C.

The ratio of the number of students studying Science to that studying Commerce in school B is:

Question 2

Given some line segment $\overline{AB}$, whose length you do not know, construct $\overline{PQ}$ such that the length of $\overline{PQ}$ is twice that of $\overline{AB}$.

Find the value of ${35}^2+{47}^2$.

A runner runs 100 m in 10 sec then turns around and jogs 50 m back towards the starting point in 30 sec find his

1) average speed

2) average velocity

The measure of an angle is 77 degrees. What is the measure of its supplementary angle?

In the given figure, $BC=DC$ and $\angle ABC$ and $\angle ADC$ are right angles. Which of the following statements are correct?

Question 44

In questions 24 to 59, fill in the blanks to make the statements true.

If 20 lemons are bought for₹ 10 and sold at 5 for three rupees, then ___ in the transaction is ___ % .

Question 80(i)

In Delhi University, in the year 2009-10, 49000 seats were available for admission to various courses at graduation level. Out of these 28200 seats were for the students of General Category while 7400 seats were reserved for SC and 3700 seats for ST. Find the percentage of seats available for students of General Category.

Written:

Construct a triangle ABC in which AB = 6 cm, BC = 10 cm and AC = 8 cm. Write the steps of construction.

Which of the following is a rational number equal to $\frac{4}{7}$ with 16 as the numerator?

Area of a square is $625m^2$. Find its perimeter.