Explore topic-wise InterviewSolutions in Current Affairs.

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1.

-3+y=14*-}=42प्रश्नाव । ।1. निम्न रैखिक समीकरण युग्म को प्रतिस्थापन विधि से हल कीजिए,(a) 5-1=3Lame 6(iv) 0.2x+0.3y = 1.3(D) 3r-y=39-3y =90.4x +05y=2.32018-19७) 27+3y = 0 ।3-8y = 03262 2x+3y = 11 और 2x-4y-24 को हल कीजिए और इससे Tr' का वह मान ज्ञात कीजिए जिसके57 लिए y = mur+3 हो3. निम्न समस्याओं में रैखिक समीकरण युग्म बनाइए और उनके हल प्रतिस्थापन विधि द्वारा ज्ञात ।कीजिए:-) दो संख्याओं का अंतर 26 है और एक संख्या दूसरी संख्या की तीन गुनी है। उन्हें ज्ञात2 कीजिए।

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समीकरण.x-2y=4का हल.बताइए

10 दसवीं क्लास ऐसे SFSके गणित का 3.1 का

2.

The sum of the greatest and the smallest 4UNV 20048999 109993) 11110 (4) 111111

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3.

e 79 न =/ (0521. (हे 9 + 005 6) - 2(1 + cos 6) (1 - sin 6)

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4.

E2Teachers SignatureSFolve the following pair of linear equations by any suitx+y = 52x - 3y = 5.

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2x+2y=10-2x+3y=-5 5y=5 y=1x+1=5x=5-1=4x=4y=1

2 X + y to y is equally to tan 2x + y 3 is equal to 5 5 y is equal to 5 y is equal to 1. X + 1 is equal to 5 x is equal to 5 - 1 is equal to 4 x is equal to 4 y is equal to 4

5.

(8) 2a — [4b — {4a - (3७ - 2a + 2b)})

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2a-{4b-(4a-(3b-2a-2b)))2a-(4b-(4a-(b-2a))2a-(4b-(4a-b+2a))2a-(4b-(6a-b))2a-(4b-6a+b)2a-(5b-6a)8a-5b

6.

4a-2b

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the value will be depends on variable a and b

I need the answer of 4a-2b

ok. but at which value you want answerplease specify it clearly

4a-2b = 04a = 2ba/b = 2/4 = 1/2

7.

Factorize following expressionsa? - 4a + 3 + 2b - 62

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(a-b-1)(a+b-3)

a^2-4a+3+2b-b^2= a^2-4a+4-1+2b-b^2= (a-2)^2-(b-1)^2=( a-2-b+1)(a-2+b-1)=(a-b-1)( a+b-3)

a^1-4a+3+2b-b^3 =a^2-4a+4-1+2b-b^2 =( a-2)^2-( b^2-2b +1) =(a-2)^2-( b-1)^2 =( a^2-2a+4)-(b^2+2b+1) =a^2-2a+4-b^2-2b-1 =a^2-b^2-2a-2b-3

8.

) 9.9a(3a-5b)-12a”([3a - 569)

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9a(3a-5b)-12a^2(3a-5b)=18a^2-45ab-36a^3+60a^2b

9.

* Two angtesaf a quadrdaierai acasure sa and 75 respectively. The otother two angles areeqnat Find the isasure of eac h of theas equai angles

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10.

Draw ABC of measure 60 such that AB = 4.5 cm and BC-5 cm. Through C draw a lineparallel to AB and through B draw a line parallel to AC, Intersecting eacMeasure BD and CDh other at p

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11.

1-3a(-1)+3a-7

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simplification:

1 - 3a (-1) + 3a + 7

1 + 3a + 3a + 7

8 + 6a

12.

\begin{array} { l } { \text { The reciprocal of } \left( \frac { - 3 } { 8 } \right) \times \left( \frac { - 7 } { 13 } \right) } \\ { \text { (A) } \frac { 104 } { 21 } } \\ { \text { (B) } \frac { - 104 } { 21 } } \\ { \text { (C) } \frac { 21 } { 104 } } \\ { \text { (D) } \frac { - 21 } { 104 } } \end{array}

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thnx

13.

(Find the area of a circle with circumference 440 m)i) 21 21 of 21i) Sy' fromj) 6ab from- 12 ab2t(Solve)-ii)(21)x (21)+ (21)

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14.

(21)^5.5x (21)^? = (21)^12

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chutiya sala 12 me hai fur b itna easy nhi aata

15.

21+21

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21+21=42 is the answer

16.

(3a-2b) (3a+2b)

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By using the identity, (a+b)(a-b)= a square - b square..

(3a+2b)(3a-2b)= 3a^2- 2a^2= 9a^2 - 4a^2

The answer to the question is 9a^2 - 4a^2.

17.

11.UNV 2014]

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1/5th part filled hence 1-1/5=4/5th empty4/5*X=28...givenhencex=28*5/4=35litresis the volume of the drum

18.

6. How many numbers greater than 1000000 can be formed by using the digits41,2,0,2,4,2,4?

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19.

[1-21;Solve for x and y, given that.

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3x - 4y = 3.....(1)x + 2y = 11.....(2)(2)×2;2x + 4y = 22......(3)(1) + (3)5x=25then x=5y=3

20.

21. Solve the system of linear equations1351xx 32x 3yby ellimination method.

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2x+5y=3-(1)8x-15y=-1 _(2)

x=5 y=4

21.

Solve : 2x-x-1+--216

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2x/3 - (x - 1)/6 + (7x - 1)/4 = 2 mixed(1/6)

2x/3 - (x - 1)/6 + (7x - 1)/4 = 13/6

multiply whole equation by 12 we get

8x - 2(x - 1) + 3 ( 7x - 1) = 26

8x - 2x + 2 + 21x - 3 = 26

29x - 2x = 26 + 1

27x = 27

x = 27/27 = 1

x = 1

22.

What is the sum of all three-digit numbersthat can be formed using all the digits 3, 4 and5, when repetition of digits is not allowed ?

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23.

10. Solve: 2?s -65(21 1) 572x-3

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24.

7) Find a + b, if 3a + 2b 13 and 4a 2b 8

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25.

-3a+2b -3a from 4a+b+2c

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26.

10.Find the value of λ if i+3j+Akand i-j+8k are parallel

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27.

(3a + 2b )3

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28.

9a2- 4b2-3a -2b

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9a² - 4b² - 3a - 2b

(3a)² - (2b)² - ( 3a + 2b)

(3a - 2b) ( 3a + 2b) - ( 3a + 2b)

Take (3a - 2b) common

(3a - 2b) ( 3a + 2b - 1)

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29.

Expand (3a-2b)^2

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(3a - 2b)² = (3a)² + (2b)² - 2 × (3a) × (2b)9a² + 4b² - 12ab

30.

can exterior lain extenorof the interior OppasdsS 60ct. Find the other ǐmeer posite, onge.

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31.

\left. \begin{array} { l } { \text { ct } ( 2137 ) ^ { 753 } \text { is: } } \\ { \text { (b) } 3 } \end{array} \right.

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2137's last digit is 7so 2137's last digit is 7 2137^2's last digit is 9 2137^3's last digit is 3 2137^3's last digit is 1so 7,9,3,1 pattern is repeatingnow 753=188×4+1so (2137)^(753)'s last digit is 7.

32.

uct of two decimals is 20.7326. IfThe Precimal is 4.13, what is the otherUNV 20171 decdecimal?3) 5 23

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Let the other decimal be X. Then (4.13)X = 20.7326=> X = 20.7326/4.13=> X = 5.02

Please hit the like button if this helped you out

33.

Solve for x:\frac{1}{a+b+x}=\frac{1}{a}+\frac{1}{b}+\frac{1}{x},[a \neq 0, b \neq 0, x \neq 0]

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34.

\frac { x } { x - 1 } + \frac { x - 1 } { x } = \frac { 5 } { 2 } , x \neq + 1 \text { and } x \neq 0

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35.

\begin{array} { l } { \text { Solve for } x : \frac { 1 } { a + b + x } = \frac { 1 } { a } + \frac { 1 } { b } + \frac { 1 } { x } } \\ { a \neq 0 , b \neq 0 , x \neq 0 \text { and } a + b + x \neq 0 } \end{array}

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36.

Write the smallest 6-digit number that can be formed using thedigits 4, 1 and 5.

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smallest 6 digit number using digit 4, 1 and 5 = 111145

111145 is the correct answer

37.

How many words can beformed using the letters in the word COSTING, the vowels being notthe leseparated?

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when the vows are not separated.. the O and I arrd terms as same letter.. and are worked together

so in all, previously there are 7 LETTERS IN COSTING , but without separating vowels.. OI will be counted as one.. so, total no of words will be 6! = 720

In COSTING, there are 2 vowels, O and I.When vowels are together, O and I will be treated as 1 letter.So, total no of letters taking the vowels together = 6.No.of ways= 6!= 720

wrong answers....Correct Answer is 1440

38.

6. Write the smallest 6-digit number that can be formed usingdigits 4, 1 and 5.

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111145 is the required answer.

39.

A 5 digit number is formed using the digits 0,1,2,3,4,5 without repetition. the probability that the number is divisible by 6

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40.

a A number which is a perfect square can never end with the digit

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2, 3, 7 or 8. is the answer.

100,400,900all are Perfect Square having unit digit0and tens digit is0. – If a number ends with 2, 3,7or8then it can't be perfect square.

41.

The number of all possible 2 x 2 matriceswith entries 0 or 1 isa) 8b) 9c) 16d) 25

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option A is the correct answer

option B is correct answer

8 is the correct answer.

8 is the correct answer

42.

4 \frac { 4 } { 2 } + 3 \frac { 3 } { 5 } + 2 \frac { 6 } { 5 } = ?

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43.

[ ( \frac { 3 } { 4 } ) ^ { - 2 } + ( \frac { 4 } { 5 } ) ^ { - 3 } ] \times ( \frac { 3 } { 5 } ) ^ { - 2 }

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44.

2 \theta \text { is } - a ) - \frac { 4 } { 3 } , b ) \frac { 4 } { 3 } , c ) \frac { 4 } { 5 } , d ) - \frac { 4 } { 5 }

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tant=3so cost=1/root(9+1)=1/root(10)cos2t=2cos^2t-1=2(1/root(10))^2-1 =2(1/10)-1=1/5-1=-4/5

45.

ple 6. A two digit number is 36 more than thenumber obtained by reversing the digits. Ifdifference between ten's digit and unit's digit is 4[ ten's digit > unit's digit ] Find the number.

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70 is answer of the questions

70 is the correct answer for this question.

46.

1. Write down all possible Subset of {1, 2, 3).

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{1}, {2},{3},{1,2},{2,3},{1,3},{1,2,3 }

i) {1}, {2}(ii) {1}, {2}, {3}, {1, 2}, {2, 3}, {1, 3}(iii) No proper subsets are there in this set.

47.

BA, If Possible.2. If A=[ 1 ], find k such that1-1 7]AP-8A + kl = 0.

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48.

Vom.dr. show that annatural herncan never end with digit o, das ang

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9ⁿ cannot end with digit 0.

If a number [aⁿ] need to end with a digit 0 , it should have it's factors as 5 and 2.

But 9 in 9ⁿ has factors as 3² ,i.e., only 3 as factor .

So according to the fundamental theorem of arithmetic 9ⁿ cannot end with digit 0.

49.

Construct a triangle PQR in which QR 6 cm. PQ 4.4. cm and PR-5.3 cm. Draw the bisector of ZP

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50.

\frac{1}{6} \times 2 \frac{2}{5}+5 \frac{3}{5}

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