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3501.

Marks of 40 student in a test out of maximum 50 marks are as follow :

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Solution :To find the MEDIAN, it is necessary to ARRANGE the dat in ascending or desecending order of their magnitude. So, on arranging the data in ascending order, we get the following table :

Here N-40, which is even
`:. "Median"=((N)/(2)th "VALUE"+((N)/(2)+1)the "value")/((40)/()th "value"+((40)/(2)+1)th "value")`
`=(20th "value" +21ST "value")/(2)=(25+30)/(2)=27.5`
3502.

Construct Delta ABC with BC = 7 cm , /_ B = 60^(@) and AB = 6cm. Construct another triangle whose sides are ( 3)/( 4) times the corresponding sides of Delta ABC.

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3503.

If triangleLMN~triangleHIJ and (LM)/(HI)=(2)/(3), then

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`TRIANGLELMN` is SMALLER
`TRIANGLE HIJ` is smaller
both TRIANGLES areequal
can not be decided

Answer :A
3504.

A point P (-2, 3) is reflected in line x = 2 to point P'. Find the co-ordinates of P'.

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ANSWER :(6,3)
3505.

A rightcircular cylinder having diameter 12 cm and height 15 cm is full of ice-cream.The ice-cream is to be filled in cones of height 12 cm and diameter 6 cmhaving a hemispherical shape on the top. Find the number of such cones whichcan be filled with ice-cream.

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ANSWER :`10`
3506.

Pankajrao invested 1,25,295 in shares of FV 10, when MV is 125. Rate of brokerage is 0.2% and GST is 18%. Then find(i) How many shares were purchased.(ii). The amount of brokerage paid and(iii) GST paid for the trading.

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Answer :(i) 1000
(II) 250
(III) 45
3507.

Solve : (a)Given tan A=(3)/(4), find the value of sin A and cos A. (b)Given cot theta=(20)/(21),determine cos theta and cosec theta. (C ) If 13 sin A=4 and theta A is acute find the value of (5tantheta+12cottheta)/(5tantheta-12cottheta) (e) If 13 cos theta-5 0 ,find (sintheta+costheta)/(sintheta-costheta)

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ANSWER :`(17)/(7)`
3508.

How many three-digit numbers are divisible by 7?

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ANSWER :128
3509.

Ifsin (A-B) =(1)/(2) ,cos (A+B) =(1)/(2) ,where 0^(@) angle A +B le 90 ^(@) and A gt Bfind A and B

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ANSWER :`A= 45^(@) and B= 15^(@) `
3510.

Check whether the following equations are consistent or inconsistent. Solve them graphically. (d) 5x - 3y = 11 -10x + 6y = -22

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ANSWER :CONSISTENT
3511.

A, B, C, D and E are sitting around a circular table facing the centre. Who is to the immediate left of C? I. Only A is between E and B. II. D is to the immediate left of B.

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the DATA in statement I alone are SUFFICIENT to answer the question, while the data in statement II alone are not sufficient to answer the question,
the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question,
the data either in statement I alone or in statement II alone are sufficient to answer the question,
the data in both statements I and II TOGETHER are necessary to answer the question.

Solution :
CLEARLY, E is to the immediate left of C.
3512.

A car has two wipers which do not ovarlap. Each wiper has a blade of length 25cm sweeping through an angle of 115^(@) . Find the total area cleaned at each sweep of the blades. (usepi=(22)/(7))

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ANSWER :`1254.96cm^(2)`
3513.

To conduct Sports Daty activities, in your rectangular shaped school ground ABCD, lines have been drawn with chalk powder at a distance of 1 m each. 100 flower pots have been placed at a distance of 1 m from each other along AD, as shown in Fig Niharika runs th1/5 the distance AD on the 2nd line and posts a green flag. Preet runs tthe distance AD on the eighth line and posts a red flag. What is the distance between both the flags? If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flags?

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ANSWER :22.5 m
3514.

Use Euclid's algorithm to find the HCF of 196 and 38220

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ANSWER :196
3515.

If tan A = (3)/(4) ,then find the other trigonometric ratio of angle A.

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ANSWER :`(4)/(3) `
3516.

Solve each of the following pairs of equations by reducing them to a pair of linear equations. (x+y)/(xy)=2,(x-y)/(xy)=6

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ANSWER :`(-1/2,1/4)`
3517.

Divide 216 into three parts which are in A.P. and the product of two smaller parts is 5040.

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ANSWER :70, 72 and 74
3518.

A card is drawn at random from a well-shuffled deck of 52 playing cards. Find the probability that it is : a three of clubs or a six of diamonds

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ANSWER :`1/26`
3519.

A card is drawn at random from a well-shuffled deck of 52 playing cards. Find the probability that it is : a jack of hearts

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ANSWER :`1/52`
3520.

A card is drawn at random from a well-shuffled deck of 52 playing cards. Find the probability that it is : an ace

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ANSWER :`1/13`
3521.

In the following frequency distribution, find the median class. What is the lower limit of model class ?

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150
160
155
165

Solution :Class 155-160 has the maximum frequency 30, therefore this is model class. LOWER limit of this class is 155.
Thus ( c ) is correct option.
3522.

A kite is flying at a height of 60 m above the ground. The dtring attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 60^(@). Find the length of the string, assuming that there is no slack in the string.

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ANSWER :`69.20`
3523.

A man sold some Rs 20 shares, paying 8% dividend, at 10% discount and invested the proceeds in 10 Rsshares, paying 12% dividend, at 50% premium. If the change in his annual income is Rs 600, find the number of shares sold by the man.

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ANSWER :3750
3524.

The median of the following data is 525. Find the values of x and y , if the total frequency is 100. Here, CI stands for class interval and Fr for frequency.

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ANSWER :Y=15
3525.

You have Rs.12,000/- saved amount, and wants to invest it in two schemes yielding 10% and 15% interest. How much amount should be invested in each scheme so that you should get overall 12% interest.

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ANSWER :Rs.7200 and Rs.4800
3526.

Ifangle A and angle P are acute angles such that sin A =sin Pthen prove that angle A =angle P

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<P>

ANSWER :`ANGLE A = angle P `
3527.

The point A(4, 6) is first reflected in the origin to point A'. Point A' is then reflected in the y-axis to point A". Write down a single transformation that maps A onto A"

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ANSWER :REFLECTION in X - AXIS
3528.

The point A(4, 6) is first reflected in the origin to point A'. Point A' is then reflected in the y-axis to point A". Write down the co-ordinates of A"

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ANSWER :(4,-6)
3529.

The point (-5,0) on reflection in a line is mappped as (5,0) and the point (-2,-6) on reflection in the same line is mapped as (2,-6) (a) Name the line of reflection. (b) Write the co-ordinates of the image of (5,-8) in the line obtained in (a).

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ANSWER :(-5,-8)
3530.

The point (-5,0) on reflection in a line is mappped as (5,0) and the point (-2,-6) on reflection in the same line is mapped as (2,-6) Name the line of reflection.

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ANSWER :y - AXIS
3531.

Evaluate the following (1+tan theta +sec theta ) ( 1+cos theta -cosec theta )

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ANSWER :` 2`
3532.

Find the median of the following frequency table :

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ANSWER :`24.45`
3533.

Find the median of the following frequency table :

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ANSWER :`27.5`
3534.

If a rectangle of length 8 cm breadth 4 cm is folded by bringing their breadths together to form a cylinder, then the height of the cylinder thus formed is ………. .

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6 cm
2 cm
8 cm
4 cm

Answer :D
3535.

A solid consisting of a right circular cone standing on a hemisphere, is placed up-right in a right circular cylinder full of water and touches the bottom. Find the water and touches the bottom. Find the volume of water left in the cylinder, given that the radius of the cylinder is 3 cm. and its height is 6 cm. The radius of the hemisphere is 2 cm. and the height of the cone is4 cm.["Take "pi=22/7]

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ANSWER :`136.19 CM^(3)`
3536.

Which of the following points is equidistant from (2,-3) ?

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`(-1,0)`
`(1,0)`
`(-2,0)`
`(2,0)`

ANSWER :C
3537.

A survery regrding the heights (in cm ) of 50 girls of a class conducted and the following data was obatained. Find the mean, and mode of above data.

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ANSWER : MEAN =149.8cm, MEDIAN =152.5 CM MODE =157.9 cm
3538.

A dividend of 9% was declared on 100rs share selling at a certain price. If the rate of return is 7.5% calculate (i) the market value of the share (ii) the amount to be invested to obtainan annual dividend of 630rs

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ANSWER :`120RS, 8400rs`
3539.

Show that (1)/(sqrt(5)) is irrational.

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3540.

Use ruler and compasses only for the following question. All construction lines and arcs must be clearly shown. Mark 2 points X and Y which are at a distance of 3.5 cm from A and also equidistant from AC and BC. Measure XY.

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ANSWER :
3541.

Find the values of y for which the distance between the points P(2, -3) and Q(10, y) is 10 units.

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ANSWER :3 or ,-9
3542.

A metal container in the form of a cylinder is surmounted by a hemisphere of the same radius. The internal height of the cylinder is 7 m and the internal radius is 3-5 m. Calculate : the internal volume of the container in m?.

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ANSWER :`359.33 CM ^(3)`
3543.

A metal container in the form of a cylinder is surmounted by a hemisphere of the same radius. The internal height of the cylinder is 7 m and the internal radius is 3-5 m. Calculate : the total area of the internal surface, excluding the base,

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ANSWER :`231 m ^(2)`
3544.

Two circles touch each other internally. Show that the rangents drawn to the two circles from any point on the comon tangent are equal in length.

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3545.

For the date given above in question no. 6 find the amount of bill for the inter-state transaction.

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ANSWER :RS. 43,420
3546.

Find the distance between the pair of points (-2, -3) and (3, 2)

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ANSWER :`5 SQRT(2)`
3547.

Find the slope of the line passing through the given two point (0, 0) and ( sqrt(3),3)

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ANSWER :`SQRT(3)`
3548.

From a well-shuffled deck of 52 cards, one card is drawn. Find the probability that the card drawn will : not be a face card.

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ANSWER :`10/13`
3549.

From a well-shuffled deck of 52 cards, one card is drawn. Find the probability that the card drawn will : (i) be a face card

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ANSWER :`3/13`
3550.

Evaluate each of the following in terms of x and y, if it is given that x = log_(2)3 and y = log_(2)5 log_(2)60

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ANSWER :x+y+2