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65801.

5 Ly L 755. < firedl का गुणनफल 38: है । यदि उनमें एक 4 i 2l1

Answer»

4 7/11 × x = 38 1/4 51/11 × x = 153/4 x = 33/4 = 8 1/4

65802.

m)129 X 645. Simplify:(2) ²78x725x52xtno10'xt"3 x 105 x 255x63.5 DECIMAL NUMBER SYSTEM

Answer»

(i) ((25)2× 73)/ (83× 7)

Solution:-

83can be written as = (2 × 2 × 2)3

= (23)3

We have,

= ((25)2× 73)/ ((23)3× 7)

= (25 × 2× 73)/ ((23 × 3× 7) … [∵(am)n= amn]

= (210× 73)/ (29× 7)

= (210 – 9× 73 – 1) … [∵am÷ an= am – n]

= 2 × 72

= 2 × 7 × 7

= 98

(ii) (25 × 52× t8)/ (103× t4)

Solution:-

25 can be written as = 5 × 5

= 52

103can be written as = 103

= (5 × 2)3

= 53× 23

We have,

= (52× 52× t8)/ (53× 23× t4)

= (52 + 2× t8)/ (53× 23× t4) … [∵am× an= am + n]

= (54× t8)/ (53× 23× t4)

= (54 – 3× t8 – 4)/ 23… [∵am÷ an= am – n]

= (5 × t4)/ (2 × 2 × 2)

= (5t4)/ 8

(iii) (35× 105× 25)/ (57× 65)

Solution:-

105can be written as = (5 × 2)5

= 55× 25

25 can be written as = 5 × 5

= 52

65can be written as = (2 × 3)5

= 25× 35

Then we have,

= (35× 55× 25× 52)/ (57× 25× 35)

= (35× 55 + 2× 25)/ (57× 25× 35) … [∵am× an= am + n]

= (35× 57× 25)/ (57× 25× 35)

= (35 – 5× 57 – 7× 25 – 5)

= (30× 50× 20) … [∵am÷ an= am – n]

= 1 × 1 × 1

= 1

65803.

की 4 5S s 38t+ 139 6 7

Answer»

784.45 is the right answer

65804.

5-26 ,6- 38 ,11-x find the value of x

Answer»

5-25+1=266-36+2=3811-121+3=124

5- 25+1-26, 6-36+2-38 ,7-49+3 -52, 8 -64 +4-68 ,9 -81+5 -86 10-100+6 -106 ,11-121+7-128. 128 is the correct answer

Your correct answer is 124

65805.

प्र.10अन्तराल [0, 57] में स्थित x के मानों की संख्या जोसमीकरण 3cos2x - 10cosx + 7 = 0 को संतुष्ट करते(A) 5(B) 6(C) 8(D) 10

Answer»

(c) is the right answee

the answer is b as it is simple if you want solution you can tell it in google mike in which my answe is there

B, option is correct answer

65806.

There are three sections A, B and C in class X with 25, 40 and 35 students respectively.The average marks obtained by section A, Band C are 70%, 65% and 50% respec-tively. Find the average marks of entire class X

Answer»

Let us assume that the total marks are 100.

Then the average marks obtained by each class A,B,and C is 70,65 and 50.

Then the total marks obtained by students of A,B and C are 70*25, 65*40 and 50*35

So the average of all the classes is,

(70×25+65×40+50×35) / (25+40+35)

So the average of all classes is 61%

65807.

b) 108, 120, 132 LC

Answer»
65808.

Sum of all angles in a triangle is 180". Expres his statementinmathematical notation.

Answer»

There are 3 angles in a triangle A,B,C Hence sum is angle A+angle B+angle C=180°

65809.

a Expres each of the following as a raction in simplest form:(iii) 0.34(vii) 0.163(v) 0.324(vi) 0.54

Answer»
65810.

5. There is 120 E of water in a tank ofthe water is used for washing clothesHow much water remains in the tank?

Answer»

5/8th of 120l=75litrsshence remaining water is 120-75=45litres.

65811.

ExerciCheck whether the value given in the bracket isa solution or not.a) 7x + 15 = 45(x = 5)2x(x = 15)• 4p - 5 = 16(p = 78x - 4 = 2x + 20(x = 4)nd the roots of the following equations by the"5+ 4 = 10

Answer»
65812.

2. In Fig., ifLA= (2x+10°,LB=(x+20)",10)°, find the<C = (y-50° and <D = (y-values of x and y.10)Aký (2x(+1050)0%(x+20)

Answer»

sum of opposite angle of a cyclic quadrilateral is = 180°

so, y-10 +x+20 = 180=> x+y = 170

and 2x+y = 180-10+ 50 = 220

now subtracting 1 from 2

=> 2x -x = 220 -170 = 50=> x = 50/2 = 25°

and y = 170-25 = 145°

65813.

sin 36 2sec 41°2 cos 54° 3 cosec 49°. Find the value of

Answer»
65814.

49. If sin θ5, then tan θ4A)B)4C)D)4

Answer»

Sin theta= 3/5then cos theta= √(1-9/25= √16/25= 4/5tan theta= sin theta/ cos theta= 3/5/(4/5)= 3/4

please like the solution 👍 ✔️

65815.

\frac { \operatorname { sin } 41 ^ { \circ } } { 2 \operatorname { cos } 49 ^ { \circ } } - \frac { 2 \operatorname { sec } 32 ^ { \circ } } { 3 \operatorname { cosec } 58 ^ { \circ } }

Answer»

0.5-0.6-0.1 is the answer

how you have done please tell it stepwise

65816.

35 x 105 x 2557 X 65

Answer»

3×3×3×3×3=243×10×10×10×10×10=100000×26=607500000 and ÷607500000=1•••answer=1

65817.

57/x+y+6/x-y=5 38/x+y+21/x-y=9

Answer»

x+y=-6; x-y=5/2y=-1; y=-1/2; x=-6-1/2=-12-1/2=-13/2

65818.

35 x105 x 2557 x 65Simplify:

Answer»

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65819.

\begin{array} { l } { \frac { 57 } { x + y } + \frac { 6 } { x - y } = 5 } \\ { \frac { 38 } { x + y } + \frac { 21 } { x - y } = 9 } \end{array}

Answer»

can I have it using cross multiplication please

solve by substitution method

by using substitution method

65820.

5.In Fig. AB> AC and OB and OC are the bisectors of LB and LC respectively. Show that

Answer»
65821.

SECTION-C12Solve the following : (4 marks each)13. What will be the cost of covering thewhite portion in figure with a silver foilif the rate is Rs. 100 per m2 ? (π-3.14)121212

Answer»

Side of a square = 12 m

Radius of each sector = 12 m

θ = 90°

White part is divided into two parts of equal area.

Area of part 1 = Area of square ABCD - Area of sector BAPC

Area of part 1= (Side)² - (πr²θ)/360°

= (12)² - (3.14 × 12 × 12 × 90°/360°)

= 144 - (3.14 × 3 × 12)

= 144 - 3.14 × 36

= 144 - 113.04

Area of part 1 = 30.96 m²

Area of Part 1= Area of part 2 = 30.96 m²

Total Area of white part = 2× 30.96 = 61.92 m²

Cost of covering 1m² area by silver foil = ₹100

Cost of covering 61.92 m² area by silver foil = ₹(61.92 × 100) = ₹ 6192

Hence , the Cost of covering by silver foil = ₹ 6192 .

65822.

pec Ottano x, then expres g secoin terrns

Answer»

sec theta + tan theta =xSo 1/cos theta + sin theta/cos theta =xSo cos theta =( 1+sin theta) /xHence sec theta = 1/cos theta =x/(1+sin theta)

65823.

untaice he walked towards the baildingAP is lO) and sum of rist 19 terrns İ^ 551 Find AP40. 1OR

Answer»

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65824.

(a) 50%of 164(b) 75% of 12(c)12%of64

Answer»

how

65825.

x+45(x - 3)(mm) 14x-23x+536x+8+5SEX3)es510202x+4

Answer»

which question to answer

65826.

36x2 + 25 + 60x

Answer»
65827.

= 36x2 - 12xy +y के गुणनखण्ड कीजिए।

Answer»

36x2-12xy+y2

Final result :

(6x - y)2

(6x-y)²

correct answer for this question

65828.

Evaluate i t = Sec 41. Sin 49 + Cos 49,

Answer»

Sec 41× sin(90-41) + cos(90-41)× cosec41 - 2 / 3^1/2 × tan (90-70)× 3^1/2 × tan 70 - 3(1/2 -1)=( sec 41× cos 41 )+( sin 41× cosec 41 )-(2× cot70 × tan70) -3(-1/2)= 1 + 1 - 2 + 3/2= 3/2.

Sin(90-x)= cos xCos(90-x) = sin xTan(90-x)= cot xCotx × tanx =1Sin × cosec=1Cos × sec=1

65829.

(iii)36x2+96xy+6h

Answer»

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65830.

If 36x2 is divisible by 4, where x is a digit, find the value of x.

Answer»
65831.

10. Find the value of the expression (36x2 25y -60 xy), when x23ady

Answer»
65832.

6. अगर एक समुच्चय A में n सदस्य हो, तो A में शक्त समुच्चयों की संख्या होगी-| (If a setA contains n distinct elements, then the power set of A contains-)

Answer»

P(A)=2^n is the formula for the number of elements of a power set of given set

65833.

49 x - 57 y = 172 ; 57 x - 49 y = 252

Answer»

Given :-

49x - 57y = 172 ........(i), and

57x-49y=252.............(ii)

Adding (i) and (ii), we get

106x - 106y = 424

=> x - y = 4 .................(iii)

Now substracting (i) and (ii), we get

-8x - 8y = -80

=> x + y = 10 ...............(iv)

Adding (iii) and (iv), we get

2x = 14

=> x = 7

putting the value of x in question (iii), we get

y = 3

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65834.

24. In the figure below, AB AC and BE and CF are respectively bisectors ofand ZC. Prove that BE CF8

Answer»

In ∆ABE and ∆ACE AB = ACABE = ACF ( AB=AC so angle B = angle C)angle A = angle A so by ASA rule ∆ABE and ∆ACE both are congurent.So by CPCT BE = CF

65835.

24.In the figure below, AB AC and BE and CF are respectively bisectors of 4Band ZC. Prove that BE CFC.

Answer»

In ∆ABE and ∆ACE AB = ACABE = ACF ( AB=AC so angle B = angle C)angle A = angle A so by ASA rule ∆ABE and ∆ACE both are congurent.So by CPCT BE = CF

65836.

ofwater.CalculatetheconcenamotatulA solution contains 40gmass by mass percentage of the solution.contains 40g of Common salt in 320g

Answer»

Mass (solute) = 40 gram

Mass (solvent) = 320 gram

Mass (solution) = Mass (solute) + Mass (solvent)

= 40 gram + 320 gram

= 360 gram

∴ Mass % (solution) = [ Mass (solute)/Mass (solvent)]× 100

= [40/360]× 100

= 11.1 %

65837.

Show that (3x+7)²-84x=(3x-7)²

Answer»
65838.

प्रश्न 5. दर्शाइए कि:(i) (3x+7)1-84x = (3x-7)-

Answer»

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65839.

(a) 49 - 84x 36x2

Answer»

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65840.

536x84x 49 is the square of

Answer»

36x²-84x+49(6x)²-2(6)(7)x+(7)²(a-b)²=(6x-7)²

So it is square of 6x-7

65841.

-----16. The cost of a chair is 1485. How much will 469 such chairs cost?17 umuh monouo llontod from 1706 otudant of a cohool for a charitur show if each

Answer»

Given:cost of chair=Rs1485cost of 469 chairs=469×1485=Rs .696,465

Cost of 1 chair =rs1485Cost of 469 chairs=rs1485*469=rs696,465

65842.

G Divide.18L 122 mL by 7

Answer»

7L is 7000ml 8L 122ml is 8000+122ml =8122ml8122/7000= 1.16ml

65843.

I find maluire no such that 12-las-1-84d -2

Answer»
65844.

\begin{array} { l } { \text { Show that. } } \\ { \text { ( ) } ( 3 x + 7 ) ^ { 2 } - 84 x = ( 3 x - 7 ) ^ { 2 } } \end{array}

Answer»
65845.

\begin{array} { l } { \text { Show that. } } \\ { \text { (i) } ( 3 x + 7 ) ^ { 2 } - 84 x = ( 3 x - 7 ) ^ { 2 } } \end{array}

Answer»
65846.

) equalscos (90° + ) sec (-o) tan(180°-0)sin (360° + 0) sec (180°+) cot (90°(a) 2(b) 10 1(d) 0)111-11

Answer»
65847.

A solution contains 40g of Common salt in 320g of water. Calculate the concentrationmass by mass percentage of the solution.

Answer»

Mass (solute) = 40 gram

Mass (solvent) = 320 gram

Mass (solution) = Mass (solute) + Mass (solvent)

= 40 gram + 320 gram

= 360 gram

∴ Mass % (solution) = [ Mass (solute)/Mass (solvent)]× 100

= [40/360]× 100

= 11.1 %

65848.

6.The cost of a chair is Rs 1485. How much will 469 chairs cost?

Answer»
65849.

27. A housing society used to collect rain water from the roof ofits building 22mx20m to a cylindrical vessel having diameter ofbase 2m and height 3.5 m and then pumps their water into themain water tank so that all members can use it on a particularday. The rain water collected from the roof just filled thecylindrical vessel, then find the rain fall in centimeter. Whatvalue of housing society is reflected in this question?

Answer»
65850.

I. The radii of two circles are 19 cm and 9 cm respectivelyFind the radius of the circle which has circumference equalto the sum of the circumferences of the two circles.

Answer»

Radius (r1) of 1stcircle = 19 cm

Radius (r2) or 2ndcircle = 9 cm

Let the radius of 3rdcircle ber.

Circumference of 1stcircle = 2πr1= 2π (19) = 38π

Circumference of 2ndcircle = 2πr2= 2π (9) = 18π

Circumference of 3rdcircle = 2πr

Given that,

Circumference of 3rdcircle = Circumference of 1stcircle + Circumference of 2ndcircle

2πr= 38π + 18π = 56π

→ r = 28 cm

The answer to this question is 28. so easy

the answer to this question is actually 28cm. don't forget the units