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78051.

Very-Short and Short-Answer Questions1. Write the value of (1 - sin²0) sec’e.

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(1-sin^2$)sec^2$(cos^2$)sec^2$cos^2$ × 1/cos^2$1

(1-sin^2A)sec^2A=Cos^2×sec^2=cos^2×(1/cos^2)=1

78052.

VERY SHORT ANSWER QUESTIONS:1. Find multiplicative inverse of (-14/19)

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Multiplicative inverse of (-14/19)=(-19/14)

multiplicative inverse of -19/14

multiplicative inverse of -14/19 is -19/14

multiplicative inverse is -19/14

multiplicative inverse is -19/14

78053.

Short Answer Questions4. Express 133: 77 in the simplest form.

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133:77 then it divide with 7 then 19:11

133:77 dividing with 7 then we get 19:11

the simplest ratio is 19:11

78054.

11. The king, queen and jack of clubs are removed from a deck of 52 playing cardsand the remaining cards are shuffled. A card is drawn from the remaining cards.Find the probability of getting a card of (i) heart; (ii) queen; (iïi) Clubs.

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78055.

11. The king, queen and jack of clubs are removed from a deck of 52 playing cardsand the remaining cards are shuffled. A card is drawn from the remaining cards.Find the probability of getting a card of (i) heart; (i) queen; (ii) Clubs.

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78056.

Match the tlowinga) Units digit of (36)b) Non-perect square numbers between 5^2 and 6^2c) Number of digits in square root of a 5-digit square numberd) Number of zeroes in square of 300e) Number of consecutive odd natural number whose sum is 64

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a)the units digit of (36)^2 will be units digit of (6*6)= 6so (a)-->(iv)

b) 300*300=90000so number of zeros is 4b)--->(v)

c)5^2=25 and 6^2= 36all numbers between 25 and 36 are non perfect squares. there are 10 numbers.(c)--->(ii)

d) here, let one number be x and lets take 3 consecutive odd natural numbers.so x+x+2+x+4=64will give a decimal value for xnow we take 4 consecutive odd natural numbers:x+x+2+x+4+x+6=64this will give the value of x as 13so we need 4 consecutive odd natural numbers.d)--->(v)

e) no of digits is 3 for example: square root of 15625 is 125e)--->(vi)

f) square root of 625 is 25f)---> (iii)

78057.

baseofleA soft drink is available in two packs- ) a tin can with a rectangular5 cm and width 4 em, having a height of 15 em and (ii) a plastic cylinder with cibase of diameter 7 em and height 10 cm. Which container has greater capacity anhow much?

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78058.

* a part5. Find the number whose fifth part increased by 5 is equal to its fourth part diminished by 5.

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तैय

78059.

14. A number whose fifth part increased by 5 is equal to its fourth part diminished by 5. Find thenumber.

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78060.

1. () 1 is alan :(A) Composite number(B Odd number(C) Prime number(D) of these

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B ) odd Number is correct answer

none of these is your answer

78061.

1) All angles in an 18 sided polygon are equal. How muchis each outer angle?

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Sum of exterior angles of any polygon is 360º

Given that the polygon has 18 sides

One exterior angle = 360 ÷18 = 20º

Answer: Each of the outer angle is 20º

78062.

Q. 8 D) Write the formula for sum of interior angles of n-sided polygon. Usingthe formula write the sum of interior angles of an octagon.

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The formula for the sum of interior angles is (n - 2) × 180.

An octagon has8 sides.

So n = 8, and n - 2 = 6.

The answeris 1080°, by calculating

6 × 180 = 1080°.

78063.

(11) Find the maximum number of diagonals that canbe drawn in n-sided polygon. Also, find numberof diagonals if (a) n = 12 sides. (b) n =15 sides(c) Decagon.

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78064.

5. Nine playing cards are numbered 2 to 10. A card is selected from these atrandom. Calculate the probability that the card will be45678190(i) an odd number(ii) a multiple of 4.

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Total no of cards = {2,3,4,5,6,7,8,9,10}

= 9

i) odd numbers = {3,5,7,9} = 4/9

ii) multiple of 4 = {4,8}

= 2/9

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78065.

l DC TJ2 IIloe than its 54tyh term?A bag contains 18 balls out of which x balls are red.If one ball is drawn at random from the bag, what is the probability that it is NOTred?If 2 more red balls are put in the bag, the probability of drawing a red ball will be 9/8times thdrawing a red ball in the first case. Find the value of x.a.atof

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78066.

7 Meera bought x packs of trading cardsthat contain 15 cards each. Her friendgave her 8 more cards. Which expressionshows the number of cards Meera have

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Number of cards Meera have=15x +8

78067.

1. Aftab tells his daughter, “Seven years ago, I was seven times as old as you wereAlso, three years from now, I shall be three times as old as you will be." (Isn'tinteresting?) Represent this situation algebraically and graphically.

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78068.

18. Find a natural number whose square diminishedby 84 is equal to thrice of 8 more the given number.

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Let the natural number be 'x'.Therefore, according to the question.x² - 84 = 3(x+8)x² - 84 = 3x + 24x² - 3x - 84 - 24 = 0x² - 3x - 108 = 0x² - 12x + 9x - 108 = 0x(x - 12) + 9(x - 12) = 0(x + 9) (x - 12)⇒ x = -9 and x = 12we have to take the positive value because natural numbers cannot be negative.Therefore, the number is 12.

78069.

27. Find a natural number whose squarediminished by 84 is equal to thrice of 8more than the given number

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Solution:-Let the natural number be 'x'.Therefore, according to the question.x² - 84 = 3(x+8)x² - 84 = 3x + 24x² - 3x - 84 - 24 = 0x² - 3x - 108 = 0x² - 12x + 9x - 108 = 0x(x - 12) + 9(x - 12) = 0(x + 9) (x - 12)⇒ x = -9 and x = 12we have to take the positive value because natural numbers cannot be negative.Therefore, the number is 12.Answer.

78070.

Cards numbered from 11 to 60 are kept in abox. If a card is drawn at random from thebox, find the probability that the numberon the drawn card is(0) an odd number30.

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Number of odd numbers from 11 to 60 is 25.

P(an odd number) = 25/50 = 1/2

78071.

1. Aftab tells his daughter, "Seven years ago, I was seven times as old as you were then.Also, three years from now, I shall be three times as old as you will be." (Isn't thisinteresting?) Represent this situation algebraically and graphically

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thanks for answering me😊😊😊.

78072.

1. Aftab tells his daughter, "Seven years ago, I was seven times as old as you were then.three years from now, I shall be three times as old as you will be." (Isn't thisAlso,interesting?) Represent this situation algebraically and graphically

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78073.

10.ind the maximum member of diagonals that can be drawn in an n-sided polygon, Also, finnumber of diagonals, if (i) n = 12 sides (ii) n = 15 sides (iii) decagon

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78074.

A bag contains 8 red balls, 11 blue balls and6 green balls. Find the percentage of blueballs in the bag

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thanks but try to give the answer more quickly plz but thanks

78075.

. A bag contains 10 white, 5 black, 3 green and 2 red balls. One ballis drawn atrandom.Find the probability that the ball drawn is white or black or green..

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78076.

016.A bag contain 20 cards numbered from 1 to 20 one card is drown from the bag. Find theprobability that it will be a prime number.

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78077.

13. If there are 10 cards numbered from 1 to10 in a box, what is the probability that thecard drawn will have a number less than 5?

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Total outcomes=10excepted outcomes=4probability of getting a no. less than 5= 4/10 =2/5

78078.

ORA bag contains 25 cards numbered from 1 to 25. One card drawn at random from the bag. Find theprobability that this card has a number which is divisible by both 2 and 3.

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78079.

Cards numbered 7 to 40 were put in a box, Poonam selects a card atrandom. What is the probability that Poonam selects a card which is amultiple of 7? 5/

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probability of selected card which is multiple of 7=favourable outcome/total outcome=5/33

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78080.

23.List the steps of preparation of temporary mount of a leaf peel to observe stomata.

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take a healthy leaf form the plant.

Remove apart of the peel from the lower surface of the leaf. Keep the peel in the watch glass containing water.

Put a few drops of safranin stain in the glass tube.

After 2-3 min take out peel and place it on a clean glass slide.

Put a drop of glycerin over the peel and place a clean overslip over it.

remove the excess stain.

now observe the slide under compound microscope

78081.

P:O. Dy what numbers should each of the following be divided to get a perfect someeach case? Also, find the number whose square is the new number.(1) 16562 (ii) 3698 (iii) 5103 (iv) 3174 (v) 1575

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78082.

हटा (c) जिस प्रकार, 23 10 13उसी प्रकार, 54 - 10 = 44उदाहरण 12. 15 : 32: : 32:?(a) 66 । | (b) 49 (c) 56हल (a) जिस प्रकार, 15 x2 +2, 32| उसी प्रकार, 32x2 + 2,66(d) 48उदाहरण 13, 8 : 64 : : 11 : ? ।(a) 22 (b) 121 (c) 44हल (b) जिस प्रकार, (8) = 64 उसी प्रकार,(d) 11(11)= =प्रकार 4 अक्षर-संख्या सादृश्यता/समरूपइसके अन्तर्गत प्रश्नों में अंग्रेजी अक्षर तथा संख्याओं के बीच में एक सहोता है। यह सम्बन्ध अंग्रेजी अक्षर की संगत संख्याओं या अन्य रूसके अन्तर्गत पूछे गए प्रश्नों में '::' चिन्ह के बाईं ओर एक अक्षर-था दाईं ओर एक अक्षर-युग्म/संख्याएँ एवं एक प्रश्नवाचक चिन्हतिा है।आपको यह ज्ञात करना होता है कि प्रश्नवाचक चिन्ह (?) के स्थान ८ए गए वैकल्पिक अक्षर-युग्म/संख्याओं में से कौन-सा अक्षर-यु-व्या ऐसी है, जिसका दाईं ओर वाले अक्षर-युग्म/संख्या में ठीकवन्ध है जैसा कि बाईं ओर के अक्षर-युग्म व संख्याओं में है।हरण 14. निम्नलिखित में प्रश्नवाचक चिन्ह के स्थान पर टआएगी?VIJAY : 05 :: SHANKAR :: ?(a) 05(C) 07न (८) जिस प्रकार ५ । । ।(b) 06(d) 08

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VIJAY : 05 : : SHANKAR : : 07

78083.

The difference between the present ages of Arunand Deepak is 14 years. Seven years ago, the ratioof their ages was 5:7 respectively. What is Deepak'spresent age?(a) 35 years(c) 49 years(e) of theseTen(Bank P.O., 2008)(b) 42 years(d) 56 years

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78084.

I 13 10 and remainder is 85.ker covers 186 km in 6 hours. What distance will he cover in 4 hoursA.

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In 6 hoursit covers 186kmso in 1 hour it will do= 186/6= 31kmso in 4 hours it will cover= 31*4= 124 km

78085.

B) A bag contains 10 white and 15 black balls. Two balls are drawn in succession. Whatis the probability that first is white and second is black?

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Probabilityof getting white ball is 10/25 and probability of getting black ball is 15/24 as ball is drawn without replacement therefore probabilityof getting first ball is white and second ball is black =10/25 * 15/24=1/4

78086.

An urn contains 2 green balls, 9 purple balls, 18yellow balls, 10 blue balls and 7 red balls. Whatis the probability of drawing a blue or red ball?

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Total no. of balls = 2+18+9+10+7=46therefore total no. of blue balls= 10so the probability of getting blue balls is 10/46 which is 5/23

78087.

बिक 1,४०” 82 - 10ax + 3a®! 2 4x% + 4ax—-3a (v

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78088.

epresent the following situatiölS IIl uIU IU1) The area of a rectangular plot is 528 m. The length of the plot (in metres) is onemore than twice its breadth, We need to find the length and breadth of the pl

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Let the breadth =b mlength = l =(2b+1)marea =528m²

l*b= 528(2b+1)b-528=0

2b²+b-528=02b²+33b-32b-528=0b(2b+33)- 16(2b+33)=0(2b+33)(b-16)=02b+33=0 or b-16=0

b should not be zerothereforeb-16=0b=16

breadth = 16mlength =l= 2b+1=2*16+1=32+1=33m

78089.

a set of cards numbered 1 to 100, one card is drawn at random. Find the probability thatumber on the card is divisible by 6 or 8 but not by 24.CBSE 2015

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78090.

(iv) 29whose square 19 We(iii) 592J(ii) 2601(1) 1225(v) 8281new numbecase number should the given number be multiplied to geyumber in each case, find the number whose square is the new(iii) 3332(ii) 2156(viii) 2(1) 3675(vii) 3380(v) 9075(vi) 7623Piven number be divided to get a perfumber.

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78091.

. In a school there are two sections, namely A and B of class X, There are30 students in section A and 28 in section B. Find the minimum numberequally among students of sectior? Agang sectipn.R1144

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78092.

as Abhay. The sum of their ages 15 42 years. How UIU IS5. Vikas has a total of 100 currency notes in the denominations of 75 and 10. If the total valueof all the currency notes is 3625, then how many *5 notes does he have?

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78093.

The circle passing through (1,-2) and touching the axis of x at (3, 0) also passes through the point(1) (-5, 2)(2) (2, -5)(3) (5, -2)(4) (-2, 5)

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78094.

Question No. 87Choose the alternative that best replaces the question mark(?) in thegiven figure.32 85 645 13 1013?6 | 40 | 24

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Option D 2

(D).2 is the answer for this question

d.2 is the answer for the question

The to the puzzle is 2

d. is correct answer

78095.

Which of these statements best describes the regression?The linear regression is not a good fit because the residual plot doesn't show a pattern.The linear regression is a good fit because the residual plot shows a linear pattern.The linear regression is a good fit because the residual plot doesn't show a pattern.The linear regression is not a good fit because the residual plot shows a linear pattern.

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a measure of the relation between the mean value of one variable (e.g. output) and corresponding values of other variables (e.g. time and cost).a measure of the relation between the mean value of one variable (e.g. output) and corresponding values of other variables (e.g. time and cost).

78096.

6 Which tree is called "Teak of marvar"7 Write full name of IUCN.

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Tecomella undulata is atreespecies, locally known as rohida found in Thar Desert regions of India and Pakistan. The trade name of thetreespecies is desertteakorMarwar teak.

The International Union for Conservation of Nature (IUCN; officially International Union for Conservation of Nature and Natural Resources) is an international organization working in the field of nature conservation and sustainable use of natural resources.

78097.

3. The probability of selecting a red ball at random from a jar that contains only red, blueand orange balls is The probability of selecting a blue ball at random from the samejar If the jar contains 10 orange balls, find the total number of balls in the jar. [3M]

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78098.

Double ordinate AB of the parabola y - 4ax suberadsangle n/2 at the focus of the parabola. Then the tangedrawn to the parabola at A and B will intersect at(a) (-4a, 0)(c) (-3a, 0)25.(b) (-2a, 0)(d) none of theset to the parabola y2= 8x. The point

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78099.

thales therom

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Basic Proportionality Theorem (Thales theorem): If a line is drawn parallel to one side of a triangle intersecting other two sides, then it divides the two sides in the same ratio

78100.

gitsiss p is an odd number diumber divisible by 11. Which is the second next odd number afterp divisible by 11?l)l P+66 (2) p+ 44 (3) p+33 (4) p+22 3

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p+22 is divisible by 11