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.

EXERCISE 11C1. In the given figure, ABCD is a cyclicquadrilateral whose diagonals intersect at Psuch that <DBC = 60° and ZBAC = 400.DFind (i) ZBCD, (ii) ZCAD40°

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Thanks

2.

Solve by completing square method 9x^2 -15 x+6

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3.

Solve the quadratic equation by completing squaremethod m? - 3m - 1 = 0

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m^2-3m-1=0; m^2-1/2×2×3m-1= m^2-2(3/2)m'-1=0;, m^2-2(3/2) m^2-(3/2)^2-(3/2)^2-1=0; ( m^2-3/2)^2=(3/2)^2+1, ,; m-3/2 =+-V13/2, m/3+-V14/2

4.

Solve the equation 2 x^{2}+x-4=0 by the method of completingsquare

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2x2+ x -4=02x2+ x = 4x2+ x/2 + 1/4 = 2+1/4(x + 1/2)2= 9/4(x + 1/2) = ± 3/2x = 3/2 - 1/2 = 1orx = 3/2 + 1/2 = 2Hence, x = 1 or 2

5.

heck whether the value given in the brackets is a solution to the givenr not7n +5 19

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6.

20. In class VI, 14 students out of 30 are girls and in class VII. 18 students out of 38 are girls. Which gradehas more percentage of girls and by how much?

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the correct answer is 900/12

The correct answer is 900/12

class 6th is the right answer

7.

Solve the quadratic equation8 sec 0 - 6 sec 0 + 1 = 0 and give yourcomments on the solution of thisequation.

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8.

6.A profit of 2,500 is to be shared among three personHow much does each person get?

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each person gets 833.333 rupees

the correct answer is of this question is 833

Sum of the ratios: 10+6+9=25

Person A's share:6/25*2500 = Rs 600

Person B's share:9/25*2500 = Rs 900

Person C's share:10/25*2500 = Rs 1000

833.333 Rupees is the correct answer

9.

e) A person started his journey from Bhubaneswar at 10AM and covered 120km distanceat Ipm. Calculate the speed of the person in m/sec.

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His speed= 120/4= 30km/hrnow we know thatkm/hr= 5/18m/secnow= 30*5/18= 10*5/6= 50/6m/sec

10.

25. If the sums of n terms of two arithmetic progressions are in the ratio3n+ 5nth terms are in the ratio5n+ then their3n +151+ 15n +13n + 1(d)-13n -15n - 1LLJにて

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11.

Find two numbers Such that the sum of thrice the first and the second is 142 and four time the first exceeds the second by 138

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12.

solve the equation 5x-y=5 and 3x-y=3 graphically

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The solution is (1, 0).

13.

find the measure of an angle if four time its complement is 10less than twice its supplement

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Let the angle be xComplement of x is 90° - xSupplement of x is 180° - x

According to question4(90°-x) = 2(180° -x) - 10360 - 4x = 360 - 2x - 1010 = 2xx = 10/2 = 5

So angle is 5°

14.

a) Use Euclid's division lemma to show that the cube of any positiveinteger is of the form 7m or 7m +1 or 7m+6.

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15.

3.For student counsel, the ratio of girls to boys is 13.7. What percent of the counsel are girls?

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percentage of girls = 13/13+7

= 13/20 * 100

= 65%

16.

the boys is to girls ratio in a school is 11:10.How many girls student are there if 605 boys are enrolled in a school

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boys : girls = 11 : 10 now there are 605 boys so number of girls = 605 × 10 / 11 = 55 × 10 = 550

If you find this answer helpful then like it.

17.

. There are 13 girls and 15 boys in a line. If onestudent is chosen at random, then find theprobability that he is a boy

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Hi ,

_____________________________________________________________

The theoretical ( classical ) probability of an event E , written as P(E),

its define as

P(E) = ( Number of outcomes favorable to E) / ( Number of all possible outcomes of the experiment )

According to the problem ,

Number of girls in the line = 13

Number of boys in the line = 15

Total possible out comes = Number of girls + Number of boys

= 13 + 15

= 28 -------( 1 )

The number of outcomes favorable for one student is chosen at

random that probability that he is a boy = 15 ---------( 2 )

P ( boy ) = ( 2 ) / ( 1 )

= 15 /28

18.

In class VL 14 students out of 30 are girls and in class VII, 18 students out of 38 are girls. Whichgrade has more percentage of girls and by how much?

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19.

. Simplify.(ii)(2x+5)20) (a - b2)(ii) (7m 8n) (7m + 8n)(v) (2.5p -1.5ą)? - (1.5p -2.5q)2(vi) (ab + bc)2 - 2abc212(iv) (4m+1V(vii) (m2-n

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(a²-b²)²= ((a+b)(a-b))²

= (a+b)²(a-b)²

thank u

20.

3. Find the following products:3 5 9 25 15yl ry(v) 7m+)(49m -7m q+q')

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wrong

21.

11. 4l(10n-3m+21) 31(1-4m+5n) eESubtract 31(1-4m+5n) from 41(10n-3m+21)

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It's not an answer to my question

4l(10n-3m+21) - 3l(l-4m+5n) = 40ln - 12lm +84l - 3l^2 + 12lm - 15ln= -3l^2 + 84l + 12lm - 12lm + 40ln - 15ln= -3l^2 + 84l + 25 lnif you need further we can take l common= l ( -3l+84+25n)

Thnx

22.

1 Find the sum of (2x + 4y + 2z) and (5x + 4y+5z) (use any me2 Find the value of the expression 5n^2 + 5n-2 if n =-2

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23.

Euclid's division lemma to show thathe form 3m or 3m +1 for some integer m.[Hint: Let i be any positive integer then it is of the form 34, 34+ 1 or 3q+2. Now squareeach of these and show that they can be rewritten in the forim 3m or 3m + 1.)re of any positive integer is either of

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24.

6H +4-5÷2=11 what will be the value of H

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25.

4. Use Euclid's division lemma to show that the square of any positive integer is either ofthe form 3m or 3m+ 1 for some integer mHint : Let x be any positive integer then it is of the form 3q, 3q+1 or 3q+2. Now squareeach of these and show that they can be rewritten in the form 3m or 3m + 1.]

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thank you so much

26.

4. Use Euclid's division lemma to show that the square of any positive integer is either ofthe form 3m or 3m + 1 for some integer R.[Hint: Let x be any positive integer then it is of the form 37, 39 +1 or 39+2. Now squareeach of these and show that they can be rewritten in the form 3m or 3m +1.]

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let ' a' be any positive integer and b = 3.we know, a = bq + r , 0< r< b.now, a = 3q + r , 0<r < 3.the possibilities of remainder = 0,1 or 2Case I - a = 3qa2= 9q2= 3 x ( 3q2) = 3m (where m = 3q2)Case II - a = 3q +1a2= ( 3q +1 )2 = 9q2+ 6q +1 = 3 (3q2+2q ) + 1 = 3m +1 (where m = 3q2+ 2q )Case III - a = 3q + 2a2= (3q +2 )2 = 9q2+ 12q + 4 = 9q2+12q + 3 + 1 = 3 (3q2+ 4q + 1 ) + 1 = 3m + 1 where m = 3q2+ 4q + 1) From all the above cases it is clear that square of any positive integer ( as in this case a2) is either of the form 3m or 3m +1.

27.

4. Use Euclid's division lemma to show that the square of any positive integer is either ofthe form 3m or 3m +1 for some integer m.(Hint: Let x be any positive integer then it is of the form 3q, 34+1 or 34 + 2. Now squareeach of these and show that they can be rewritten in the form 3m or 3m +1.1

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28.

Solve each of the following equations and check your answers.46 3x1=3-20(ay 5 - 2x = x + 8(d) x + 1 = 1.2 + 2x465 2x-3 = 5-6193-3-x-3(f)0.5x + 7.5 = 0.25x - 1.5four time as old as

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29.

का ०००००००००००००० पद ¢ I_ZSI ‘8[ (G)शा . [ ६ क०७०७७७०७७७०७,७१ 0७10 | पड 0 (3)१८9 टा ४१ (D ५0ट | ७%७०००७७। भ््ु || गष्ि पृ 4 (छ)12 b bRl kb कएनए 12 jr NabBle DRI L LAk

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A) 205 = 7 + (n-1)6 198 = (n-1)6 n-1 = 33 n=34 B) 120 = 4 + (n-1)4 4(n-1) = 116 n-1 = 29 n=30 C) 1.1 = 0.5 + (n-1)(0.03) 0.6 = (n-1)(0.03) n-1 = 20 n=21 D) -47 = 18 + (n-1)(-2.5) (n-1)(-2.5) = -65 n-1 = 26 n=27

30.

A car leaves narsipur and reaches badripur which is 390km away in 6h 30min. find its speed

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Distance = 390 km.Time = 6.5 hours. Speed = Distance/ time= 390/6.5=60 km/hr

31.

छवि ७ हट घिछि है (गोरे 8 (0 b lak] ‘92 LibK 1 beylisdh byजि

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right hai answer

thanks

32.

A car leaves narsipur and reaches badripur which is 390km away in 6h 30min. find its speed?

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33.

Example 4. In a G.P, the 3"d term is 24 and the 6h term is 192. Find the 10h term.

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here is your answer

34.

in a school of 18 00 student 100 girls the girls and the ratio of boys to the total number of student?

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There are 100 girls.So, the number of boys is 1800-100=1700 So the ratio of boys /total no. of students is 1700/1800. =17/18.

35.

Direotions (39-13): Whatwill come in place of the questionmark ?) in the following numberseriea?39. I 1.8 12 24 60(2) 10(4) 2(3) 8(5) 12

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36.

1 Muliply the binomials(0 (2x+5) and (4x-3)(ii) (2.51-0.Sm) and (2,5 +0.5m) iv) (a + 3b) and(v) (2pq + 3) and (Op 24(v)and 4Find the product(0 (5-20 3+)Simplify0 (-5) (+5)+ 25(iii) (t+r) (F-S)y) (a + b) (cd+(a b(c+d+2 (ac + bd)(0) (0+5)6

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37.

39 x ^ { 3 } ( 50 x ^ { 2 } - 98 ) \text { by } 26 x ^ { 2 } ( 5 x + 7 )

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(39*x*x*2(25*x*x-49))/(26*x*x(5x+7))=(3×13*x*x(5x+7)(5x-7))/(2×13*x*x(5x+7))=3(5x-7)/2

38.

10. Vandana takes 24 minutes to reach her school if she goes at a speed of 5 km/h. If shewants to reach school in 20 minutes, what should be her speed?

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39.

6 pipes can fill a tank in 24 minutes. Onepipe can fill it in

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Solving using ratio nd proportion 1/6 = 24/x So, x= 6×24 = 144 min

40.

Ravi walks at the uniform rate of 5km/hr. What distance would be cover in 2 hours24 minutes ?

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41.

28/ Ila read 25 pages of a book containing 100 pages. Lalita readof the samebook. Who read less?

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great

42.

FDx = a+= - किसका सूत्र है ?N

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यह माध्य ज्ञात करने का फार्मूला हैthanks

43.

्श tan 6 = 3sin® तब बंप * 0-८0570 बरोबर है -हि, fd e 4

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44.

2of the sameIla read 25 pages of a book containing 100 pages. Lalita readbook. Who read less?9. Rafiq exercised forof an hour, while Rohit exercised forof an hour4Who exercised for a longer time?

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Answer for question 8- Ila read less as she read 25 pages but lalota red 2/5th of book which means 40 pagesAnswer for question 9- is Rohit as 3/4th of an hour means 45 mins whereas 4/6th means 30 minutes

45.

Ravina read th part and 17 pages of a Marathi book. 28 pags were let34when3be read. When Kajal read 5th part and 20 pages of a History book 25 pagrswere left to be read. How many more pages were there in Ravina's book thianthe number of pages in the book that Kajal had'?(1) 65 (2) 75 (3) 55 (4) 45the ratio of the present ages of Aryan and Aditi is 4 :5. The rato of theto

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46.

s of a book containing 100 pages. Lalita readla rad 25 pages bookbook. Who read less?of the sameof an hour, while Rohit everciof an9. Raig exercised for4Who exercised for a longer time?

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47.

TICSEXERCISE 6.IWhat will be the unit digit of the squares of the following numbes0 81(v) 12341.(i) , 272.(vi) 26387(x) 55555ii) 799(vii) 52698(ix) 12796hars are obyiously not perfect squares. Give re

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unit digits are following14169465

48.

(0) ive yeara heold as Sonu. How old are Nuri and Sonu(ii) The sum of the digits ofa two-digit number is 9. Also, nine times this number istwice the number obiained by reversing the order of the digits. Find the number00ked the cashier to give her

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49.

Can the number 6h, n being a natural number, end with the digit 5 ? Give reasons.

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50.

Can the number 6", n being a natural number, end with the digit 5? Give reasoh.

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No, 6^n cannot end with five.For - "A ^ n"( where A is any integer ), to end with 5 ( or have 5 in unit place )."A"must be in the form of 2 ^ m X 5 ^ n .However, here 6 = 2 X 3ie. 6 cannot be written in the form of 6^n.So, 6 ^n cannot end with five.

And for, 6n.This too can't end with five, as all multiples of 6 end onlywith 0, 2,4, 6,8.