Explore topic-wise InterviewSolutions in Current Affairs.

This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.

1.

1. Round off the following numbers tofi) 13 and 86 to the nearest ten.

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10 and 90 is the answer of your question

13 nearest ten is = 1086 nearest ten is =80.

2.

9. Equivalent fraction for =4

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3.

Find the roots of x2+ 6x-(a2+2a-81-0 by applying quadratic formula.Fan AD io 52 and 1 7th term is 20 more tban ite 12th torm ind the

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4.

equivalent fraction of 2/5

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2/5=4/10=6/15=8/20=10/25....

5.

,rWrite two equivalent fraction

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9/11 is equivalent to

9/11 × 2/2 = 18/22

9/11 × 3/3 = 27/33

6.

the sum of the digits of a two digit number is 9 .Adding 27 to interchange number.Find the number

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Let the number be xyx+y=9...............(1)(10x+y)+27=10y+x10x-x+y-10y=-279x-9y=-27x-y=-3................(2)add equation 1 and 2we getx=3substitute it in eq 1y=6so the number is 36

7.

. What doe you observe on adding clean iron nails in the solution of aluminium sulphate and zinsulphate taken in two separate beakers

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When Iron nail (Fe) kept in Copper sulphate (CuSO4) there takes reaction between them. As Iron is more reactive than Copper it can replace Copper from CuSO4.Fe + CuSO4 → FeSO4 + CuCuSO4 is in blue Colour and FeSO4 is in light green colour.So, there will be change in the composition and colour of the solution (from blue to light green). And decomposition of Copper layer on surface of nail.

8.

The sum of the digits of a two-digit number is 5. On adding 27 to the number, its digits are reversed.Find the original number.

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9.

की रिमेय संख्याओं के अंशों को लिखें :. iy -0 27(11) s (1) = (iv) = kv<

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-15 11 6 0 27

10.

equivalent fraction equal towrite 5 equivale

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1/12= 2/24= 3/36=10/120=4/48=5/60=6/72

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subashcsudhc537(;44geyru JH CV rvr

11.

In the Fig.8.12, ZR is the right angle ofΔ PQR. Write the following ratios(i) sin P (ii) cos Q (i) tan P (iv) tan QFig. 8.12

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thank you!!

12.

Q.6Write two equivalent fraction

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9/11 is equivalent to

9/11 × 2/2 = 18/22

9/11 × 3/3 = 27/33

13.

. Find an equivalent fraction ofhaving numerator 54.

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54/78 is the correct answer of the given question

9/13×6/6=54/78 is the right answer of this question

54/78 is the correct answer

54/78 is correct answer.

14.

Find thevalueof 1X.io0

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15.

3-3. Find the equivalent fraction ofhaving(ii) numerator 24(i) denominator 30

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16.

Find the value of k, for which one root of the quadratic equation kv-14x +80 is six times theother

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17.

242.Express-30as a rational number with numerator 6.

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18.

3. Find the equivalent fraction of having35(i) denominator 30(ii) numerator 24

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19.

Fig. 2.25In figure 2.26, if line q line r,line p is their transversal and ifa 80° find the values of f and g.hr-m-←→qFig. 2.26

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Here a = c = e = g and b = d = f = h

As a = 80,

a = c = e = g = 80°

b = d = f = h = 180-80

= 100°

20.

NUMERATOR 9B _oenowmato

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First, a fraction is made up of two integers—one on the top, and one on the bottom. The top one is called thenumerator, the bottom one is called thedenominator, and these two numbers are separated by a line.

eg:2/5 where two is numerator and 5 is denominator

21.

4 Find the equivalent fraction ofhavingnator 20 (b) numerator 9

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3/5/20= 3/100thanks

3/5/30= 3/150= 1/50thanks

22.

what shohd be added to the numerator of 4/9 to2/3

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Suppose x should be addedso4/9+x= 2/3x= 2/3-4/9= 24-16/36= 8/36

23.

If 7 times the 7th term of an A.P is equal to 11 times its 11th term, then find its 18th term

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24.

If7timesthe7thtermofanA.Pisequal to 11 times its 11h term, then find its 18h term

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7th term = (a+6d) 11th term = (a+10d)(a+6d)7 since 7th term of the ap is 7 times and the same for 11th term(a+6d)7=(A+10d)11 (given)7a + 42d =11a +110d (on solving)7a - 11a = 110d - 42d-4a = -68da= -17d

we know 18th term = (a+17d)................................. (i)now we substitute the value of a in (i)which emplies, -17d + 17d = 0Hence proved

25.

Express \frac{-7}{9} as a rational number numerator=-28

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26.

3. Write a fraction with(a) Numerator 4, Denominator = 7:

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4/7 is the fraction with numerator 4 and denominator 7

4/7 is the required fraction

4/7isrequired fraction

4/7 is required answer.

the required fraction is =4/7

numerator 4 and denominator 7 with fraction 4/7

find the fraction is the write answer is 4/7 is the fraction , numerator is 4 and denominator is 7

4/7 is the required fraction

numerator 4 and denominator 7 convert into fraction is 4/7

4/7 is the required fraction answer.

4/7 is the required fraction of this question

27.

Q fl,\fii\x&}\& J'\E,,%\T)‘E&GX\:('Q_’ZY

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The electrical resistance of an object is a measure of its opposition to the flow of electric current. The inverse quantity is electrical conductance, and is the ease with which an electric current passes. Electrical resistance shares some conceptual parallels with the notion of mechanical friction.

A barrier in the natural flow of current is known as resistance.

28.

4x + 12x + gx?

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4x²+12x²+9x²adding the three given points25x²

29.

1Xcuad gx find the value ot x

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Sum of angles of a hexagon = 720.=> 6x+4x+5x+6x+7x+8x = 720=> 36x = 720=> X = 20. Please hit the like button if this helped you

30.

Using factor method, divide the polynomial Gx x27 by x -1.

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31.

if 7 times the 7th term of an A.P is equal to 11 times its 11th term, then find its 18th term.

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32.

& Pind the equivalent fraction of 24 having numerator 430

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33.

ive positive integin4-p The Summiddle 3 texms is 24 and psoduct of f+the teim

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Let AP= a, a+d, a+2d, a+3d, a+4d.

By given

3a+6d=24

a+2d=4

d=(4-a)/2 ….(1)

a(a+4d)=48

a²+4ad=48 …..(2)

(1) and (2)

a²+2(8a-a²)=48

a²+16a-2a²-48=0

-a²+16–48=0

a= 4 or 12

a=12(impossible)

So a=4, d=2.

This AP = 4, 6, 8, 10, 12.

34.

In the Fig.8.12, ZR is the right angle ofPOR. Write the following ratios.(1) sin P (ii) cos Q (iii) tan P (iv) tan QFig. 8.12

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sin P = QR/PQcos Q = PR/PQtan P = QR/PRtan Q = PR/ QR

hit like if you find it useful

35.

nd the teum Indepenolenhot teimteum in he

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Thanks g😊

36.

1. Fiad the square reet of cach of the following numbers eorreet to tws decinial placesuiù 478

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(i)

(ii)

good 😶👏👍😎👍

(iv)

37.

. if the second tetm of an A.P is 8 and 5t teim is 17, find its 19th term.III. Answer all Questions.

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a+d=8a+4d=17

8-d+4d=178+3d=173d=9d=3a=5

19th term=a+18d=5+18*3=59

38.

001. K tws Parsalles lemes areintersected by a transuersel Showthat the Birchersму fооalternate angleswallel

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39.

\left. \begin{array} { l } { ( a ^ { 2 } ) \times ( 2 a ^ { 22 } ) \times ( 4 a ^ { 20 } ) } \\ { ( - \frac { 10 } { 3 } p q ^ { 3 } ) \times ( \frac { 6 } { 5 } p ^ { 3 } q ) } \end{array} \right.

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40.

कि न. 3 बडे 5. हि नमन 2. gx)=x+1-x |

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41.

write the equivalent fraction of 3/2 with numerator 48

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42.

Numerator 936/48

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36/48 = (9x4)/(12x4) cancelling 4 from numerator and denominator, we get9/12. hence numerator comes out to be 9 in here

43.

Write the equivalent fraction of 3/2 with numerator48.

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44.

Find the equivalent fraction of 6/7with a numerator of 48.

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45.

24. If the pth term of an A.P is - and the qh term is , show that the sum of pq term is24. İfthepthtermofanAPisqandthey®termísp,show thatthesumofpgtermis(21)

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Given pth term = 1/qThat isap = a + (p - 1)d = 1/qaq + (pq - q)d = 1 --- (1)Similarly, we get ap + (pq - p)d = 1 --- (2)From (1) and (2), we getaq + (pq - q)d = ap + (pq - p)d aq - ap = d[pq - p - pq + q]a(q - p) = d(q - p)Therefore, a = dEquation (1) becomes,dq + pqd - dq = 1 d = 1/pqHence a = 1/pq

Consider, Spq = (pq/2)[2a + (pq - 1)d] = (pq/2)[2(1/pq) + (pq - 1)(1/pq)] = (1/2)[2 + pq - 1] = (1/2)[pq + 1]

thnx

46.

9. Write a fraction equivalent to 36/63 with numerator 4.

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To get 4 in numerator, divide numerator and denominator by 936÷9/63÷9=4/7

47.

Are the ratios 1:2 and 2:3 equivalent?

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No, the ratios 1:2 and 2:3 are not equivalent. Reason: 1/2 ≠ 2/3

48.

The decimal expansion of the ratiolmber 4ill termafter how many places of decimals?24.532[CBSE 2009]

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43 / (2⁴. 5³) = (43*5)/(2⁴.5⁴) = 215/10⁴So, the decimal expansion terminates after 4 decimal places as 10 has power 4

49.

5. In an A.P., if pth term is and qth term isrove that the sum of first pqterms is (pq +1), where p q.6. If the sum of a certain number of terms of the A P 222 10

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1

2

3

4

5

50.

48. Find the sum ot tws filduie teimINCERI EXBVI49 If on1 -1)h term of an A.P is twice the (r +1lyth term, prove that (3m + 1)h term is twice the(m +n+1)h term.i u torms with first term a and nth term I show that the sum of the

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Let a is the first term of AP and d is the common difference of APnow ,according to question ,(m+1) th term =2 (n+1) th term a+(m+1-1) d =2 {a+(n+1-1) d }a+md=2a+2nd(m-2n)d=a ------------(1)now,LHS =(3m+1) th term =a+(3m+1-1) d=(m-2n) d+3md =2 (2m-n) d

RHS =2 (m+n+1) th term =2 {a+(m+n+1-1) d}=2 {a+(m+n) d}=2 {(m-2n)d +(m+n) d}=2 (2m-n) d

hence LHS =RHS