Explore topic-wise InterviewSolutions in Current Affairs.

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1.

रो.quभेg(3w,(sनी.106X5104q[LY]1R0&%

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105×106 = (100+5)(100+6) = 10000 + 500 + 600 + 30 = 11030

2.

(1) 210²-6V1018. Find the square root of 1024. Hence find the value V10.24 +V0.1024 + V10240000.

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3.

The average of firstnine prime numbers is

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The answer is 100/9 or 11(1/9)

Sum of first 9 prime numbers:2+3+5+7+11+13+17+19+23= 100

Average = 100/9

4.

3. In the given figure, find a + b.[Board Term I, 2012, Set-19]2+90

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5.

6) Divide880 in the ratio1/5 : 1/6

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let the ratio be xso ratio are x/5 and x/6Therefore,x/6 + x/5 = 88011x/30 = 880x = (880×30)/11 = 80 × 30x = 2400

So, cost are x/6 = 2400/6 = 400x/5 = 2400/5 = 480

6.

The sum of the digits of a two digit number is 9. Also nine times this number is twice the number obtained byreversing the order of the digits. Find the numbers

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7.

Eive numbers arelast term is Ro. Find these num bersin conb

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Continued proportion : Three numbers ‘a’, ‘b’ and ‘c’ are said to be continued proportion if a, b and c are in proportion. Thus, if a, b and c are in continued-proportion, then a,b,b,c are in proportion, that means Product of extremes = Product of means ⇒ a x c = b x b ⇒ a x c = b 2 Continued-proportion is also known as mean proportional .If ‘b’ is a mean proportional between a and c then b 2 = ac.

Examples : 1)Find the mean proportional between 9 and 25.Solution : Let x be the mean proportional between 9 and 25.⇒ x 2 = 9 x 25 ⇒ x 2 = 225 ⇒ x = 15 Hence, the mean proportional between 9 and 25 is 15.

8.

4If an 4n+1, find 3rd term.

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a(n) = 4n + 1

a(3) = 4 × 3 + 1

a(3) = 12 + 1 = 13

9.

Find the sum of two odd consecutive numbers is 28. Find the numbers.

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two consecutive number be 2x + 1 and 2x + 3 so,according to question2x + 1 + 2x + 3 = 284x + 4 = 284x = 24x = 6so number are2x + 1 = 2× 6 + 1 = 132x + 3 = 2× 6 + 3 = 15

10.

1. Find the number of subsets of A if A (x: x-4n+1, 2Sns5, neN)

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11.

1. Find the sum of the n terms of the series whose nth term are given below:() 3n2 +2n(iii) 2n + 3n(ii) 2n3 +4n+1(iv) 3 + n3

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here is a solution for similar question

12.

7+7=14

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7+7=14 answer of simple addition

13.

remainder 3 are 11 15, 199921 If the numbers n -2, 4n -1 and 5n + 2 are in A.P, find the value ot n.A Pis 3 and their product is -35. Find the r

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14.

20) The angles of a quadrilateral are in AP, whose common.21) It the numbers n 2, 4n 1 and 5n +2 are in AP, thennmon difference. The firstQ.difference is 10. Find the angles.find the value of n.

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15.

21 If the numbers n - 2, 4n 1 and 5n + 2 are lil Al, liu22 The sum of three numbers in A.P. is 3 and their product is -35. Find the numbers.hor to the third number

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thnxxx

16.

1.3.5... (4n-17. Prove that2n2nCn 1.3.5.... (2n-1

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17.

—= Tt jfij=g 6-=0 o g = Q=

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a=-9, b=71a-(-b)=-9-(-71)=-9+71=62a+b=-9+71=62Thus a-(-b)=a+b

18.

9 QE N such that lowset 3w 2Ntax: XE NB Des vibe the

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How to calculate minimum and maximum value of trigonometric function

3N n 7N can be described as3N n 7N = {3X n 7X:x€N}

19.

. If a and B are zeroes of 4x2 +3x + 7, then findthe value of + (Board Term I, 2015)11

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1/3 + 1/4=4+3/12=7/12

4x^2+3x+7a & b are the zeros a+b= -3/4ab= 7/41/a+1/b=b+a/ab= -3/4/7/4= -3/7 is the answer

a &b are zeros; a+b=-3/4; a=7/4; b+a/ab=-3/4/7/4=-3/7

-3/7 is the answer of question

20.

\frac { x + 3 } { 3 } - \frac { x - 2 } { 2 } = 1 . \text { Hence find } p , \text { if } \frac { 1 } { x } + p = 1

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where is the answer

21.

7.The fourth proportional to 14, 21 and 22 15

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Multiply 21 and 22 and then divide you get 33Oh....

22.

The mean of 9 numbers is 8. Eight of the numbersare 8, 7, 6, 8, 5, 6, 12 and 11. What is themedian of the nine numbers?

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median of the nine number =8

8 is the correct answer of the given question

23.

1. a. Two numbers are in the ratio 6:5. If the sum of the numbers is 110. find the numbers.

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6x+5x= 110x= 10numbers= 60,50

6x+5x=11011x=110x=110/11x=10number are:-60,50

24.

Example 18. The average of 11 numbers is 32. If the average of first 6 numbers is 34and that of last 6 numbers is 33, find the sixth number.

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addition of 11 numbers = 32×11 = 352 addition of first 6 numbers = 6 × 34 = 204 addition of last 6 numbers = 6 × 33 = 198 sixth number = 204+198-352 = 402-352 = 50

25.

umbers is 6 tines their eometrie mean, show that numbersa anu Dnumbers is 6 times their geometric mean, show that numberstim28. The sum of twoare in the ratio (3+2/2):(3-22

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26.

6. Three numbers are in the ratio of 4:5:6. If the sum of the largest and the smallestthe sum of the third and 55, find the numbers.

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27.

\left. \begin{array} { l } { ( i i ) 4 a + 5 a b - 7 \text { from } 3 a - 2 a b - 6 } \\ { ( i v ) 7 a ^ { 3 } b - 4 a ^ { 2 } b ^ { 2 } + 9 \text { from } 3 a ^ { 3 } b + 2 a ^ { 2 } b ^ { 2 } + 7 } \end{array} \right.

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you want subtraction of them

28.

(4*(a*b(-7*a^3*b^7)))/((-14*a^2*b^2))

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29.

RT 31牙可TT RT可河言倆6) 言言

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30.

numbers.6. The sum of two number is 99. If one exceeds the other by 9, find thein 63 find the numbers.

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let no.s be x and yso x+y=99and x=y+9so y+9+y=992y=90y=45and x=y+9=45+9=54

31.

Fifth term of an A.P is 13 and sum of its first 15 terms is 285. Find 14th termof this A.P and also sum of its first n terms.

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nth term = a + (n-1)d where a = first term and d = difference 5th term = 13 a + 4d = 13 Sn = n/2 (2a + (n-1)d) S15 = 285 = 15/2 (2a + 14d) 19 = 2/2 (a + 7d) a + 7d = 19 a + 7d - a - 4d = 19 - 13 3d = 6 d = 2 a + 8 = 13 a = 5 14th term = a + 13d = 5 + 13*2 = 5 + 26 = 31 Sn = n/2(2*5 + (n-1)2) = n(5+n-1) = n(4+n)

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32.

14. If the nth term of an AP is (4n 1), find the sum of the first 15 terms of this AP. Also find the sumof is n terms.

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33.

If 3.X+1C, +P2.x = 4.*P,XE N, then x is equalto(a)2 (b)3(c) 4 (d) of these.

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3.x+1C2 + 2P2.x = 4.xP2

3*x*(x+1)/1.2 + 2! *x = 4*x(x - 1)

3x^2 + 3x + 4x = 8x^2 - 8x

5x^2 - 15x = 0

5x(x - 3) = 0

x =/= 0

Therefore,x = 3

(b) is correct option

34.

os. sn-teaue of 2oo A-1Board Term-1, 2012, Set

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Given Sin A = sqroot(3)/2 = P/H

To find B use pythagoras theoramB*B = 2*2 - sqroot(3)*sqroot(3)B*B = 4 - 3 = 1B = 1

Cot A = B/P = 1/sqroot(3)

Thus, 2Cot^2 A - 1 = 2*1/3 - 1 = 2/3 - 1= - 1/3

35.

Find P(-1) and (P2)) for p(x)=52-4x3+3

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p(-1)=5(-1)-4(-1)^2+3=-5-4+3=-9+3=-6p(2)=5*2-4*(2)^2+3=10-4*4+3=10-16+3=-6+3=-3

36.

2. In the gven figure. ABCD is a quadrilateral-shaped neld inwhich diagonal BD is 36 m. AL BD and CAI iBD such thatAL = 19 m and CM 1 m. Find the area of the neld14Sİfthe area of

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37.

Ex. 3. Find the fourth proportional to 4.8, 1.6, 5.4.

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38.

.Find the fourth proportional to the followinga. 24, 4,12b. 10, 2.5,1.2

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a) let fourth Proportional be x

so,

24/4 = 12/x

6 = 12/x

x = 12/6

x = 2

b) let fourth Proportional be x

10/2.5 = 1.2/x

100/25 = 1.2/x

x = 1.2/4

x = 0.3

39.

. In the given figure, ABCD is a quadrilateral-shaped field in-which diagonalBD is 36 m. AL BD and CM丄BD such thatAL = 19 m and CM = 1 1 m. Find the area of the field.

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40.

1. Solve the equationsthe equations 3P+7=19

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3p+7=193p = 19-73p = 12p = 12/3p= 4is the correct answer

3p+7=193p=19-73p=12p=4

3p+7=193p=19-7=12p=12/3=4

3p+7=193p=19-73p=12p=12/3p=4is right answer

41.

olve the following pairs of equations by reducing them to a paireequations :1 1 13

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hit like if you find it useful

42.

+Choose the correct alternative.(1) In the adjoining figure, if line m || line nand line p is a transversal then find x.(A) 135° (B) 90° (C) 45° (D) 40°

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3x+x = 180( co interior angle) 4x= 180x= 180/4x= 45

90 is the answer of your questions

45 is the answer of your questions

by the figure,3x+x=180'4x=180'x=180/4x=45'

45 is the correct answer

3x, x co-interior anglessum of 3x,x is 180'3x+x=180'4x=180'x=180'/4x=45'

3×+×=180(co interior angle 4×=180x=180/4×=45

43.

ही... कह L ०८हि ) 19 syकह ७४ ०५ ७ -के Al ek 1

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बचा हुआ भाग होगा= πr^2-(4*4)= 22/7*14*14-(16)22*28-16616-16= 600cm^2

44.

olowing11 Find the intersection of the following sets.A= { 1,2,4,5, 7), B={2,3,4,8)

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According to questionA ∩B = { 2, 4}

According to question A intersection B = {2,4}

45.

den1. Find the fourth proportional to the numbers 6. 8 and 15.

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46.

YTT TT TardTITATIT6. Find the fourth proportional of 3, 12 and 4.

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3:12::4:x3/12= 4/xx= 16answer

47.

5 10 पैसे, ₹ 2 का कौनसा भाग है?1 2(A) 20 (B) 51© 1 B

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Rs 2 = 200 paiseThen,10/200 = 1/20

(A) correct option

48.

Write the following sets in rosteform :10) A = {X: 2x + 3 = 11}

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{1,2,3,4} is the correct answer of the given question

49.

If mean of 15 terms is 6, find the sum of all terms.

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Mean = sum of terms/ No. of term

6 = sum of terms /15

Sum of terms = 90

50.

4 marksDx is a set of factors of ID and yisalSet os fadors of 36, then find Setsaux and sense by using veen diagramand comment?

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