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.

3.)Fig.7.17AD and BC are equal perpendiculars to a linesegment AB (see Fig.7.18). Show that CD bisectsAB.

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2.

ind the 10th term of AP: 2.,1

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a=2,d=7-2=5

10th term=a+(10-1)d=2+9(5)=2+45=47

3.

e co-ordinates of P areasure t3) divideso tme Ce aT mesn. Fromwrite Sleps of construction and0.18. The point R (-2.3) divure their lengih ment PO in the ratio 3:4, wher usiction.(x y) and thes the ling $6, 1). Find x andydinates of Q areOr

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4.

157. The product of digits of a 2-digitnumber is 24. If we add 45 tothe number, the new number ob-tained is a number formed byinterchanging the digits.What isthe original number?(1) 54(3) 38(2) 83(4) 45

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Let the number is x + 10y according to question, xy = 24 ----(1)

again,

x + 10y +45 = y + 10x

x - y = 5 --------(2)

solve equations (1) and (2)

x - 24/x = 5

x² -5x -24 =0

x = { 5±√25+96)}/2

=(5±11)/2

= 8, - 3

but x ≠ -3

so, x = 8 put this equation (2) y = 3

So, the number is 8 + 30 = 38

5.

PORSisaparallelogram with P26 cm and QR -20 cm. If the distance between its longer sidesis 12.5 cm, findthe area of the parallelogram;the distance between its shorter sidesเเ

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Given that,In PQRS parallelogram,PQ=26cmQR=20cmdistance between longer sides =12.5cm(i) Area of parallelogram=base ×height cm^2=PQ×h=26×12.5=325 cm^2 (ii)Area of parallelogram=base×heightheight=Area/basedistance b/wshorterside=325/20=65/4=16.25cm

6.

A is 60% more efficient thanb. in how many days will a andb together complete a piece ofwork if a alone can completethe work in 15 days

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7.

Two plots of landrectangle of length 70 m. Find the breadth of the rectangular plot. Whuch plot has hgreater area and by how much?10.t have the same perimeter. One issquare of side 64 m atd the obher wa square of side 64 m and the other n

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thanks

8.

Ex. 2. A and B together can complete a piece of work in 4 days. If A alone cancomplete the same work in 12 days, in how many days can B alone complete that work?(Bank P0. 2003)

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A and B together can complete the work in 4 days and A alone can complete in 12 days so B can complete in1/4-1/12=(3-1)/12=2/12=1/66 days.

9.

A and B together can complete a piece of work in 12 days.A alone can complete in 20 days. If B does the work onlyhalf a day daily, then in how many days A and B togetherwill complete the work ?A और B मिलकर किसी काम को 12 दिनों में कर सकते हैं। Aअकेलाकाम को 20 दिनों में समाप्त कर सकता है। यदि B प्रतिदिन आधा दिन| काम करता है तो A तथा ५ मिलकर कितने दिनों में काम पूरा करेंगे ?(a) 10 days (b) 20 days (c) 11 days (d) 15 days||*।

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it's 8th class question so easy

10.

Find the distance between P (x, y)and Q(,2 y) when : (i) PQ is parallel to they-axis, (ii) PQ is parallel to the x-axis.

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wrong pleas try again

11.

In Fig., AB is diameterof a circle with centre O. pIf AR 3 cm,BR = 7 cm andPQ 8 cm, find thedistance of PQ from O.

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12.

Ifr=1, y = 2 ap2 and z=5, find the value of(ii) x2 + y2 +z2(v) 2x2y - 5yz + xy2(ii) 2x2 - 3y2 +22(1) 3x - 2y + 4zfiv) xy + yz - 2x

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2) 30 is the correct answer by me

a)19b)30c)35d)7e)-42f)-128

13.

21. Show that the pons2. The point R divides the line segment AB, whose A(-4,0) and B(0.6) are suchthat. AR- AB4rallelogram are (-2, -1), (1,0) and (4, 3).fa no

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14.

\left. \begin{array} { l } { \text { fa, b, care in AP, prove that } } \\ { ( a - c ) ^ { 2 } = 4 ( a - b ) ( b - c ) } \\ { a ^ { 3 } + c ^ { 3 } + 6 a b c = 8 b ^ { 3 } } \end{array} \right.

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15.

One digit is four times of other digit in twodigit number. On adding this number tonumber formed by replacing its digits, sumwill be 110. Find the number

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16.

The ones digit of a 2-digit number is twice the tens digit. When the numberformed by reversing the digits is added to the original number, the sum is 99. Findthe original number157

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Let, the tens digit =xso, ones digit =2x.•. number= 10x+2x=12xreverse number= 10×2x+x=20x+x=21x

it is given that,12x+21x=99or 33x=99so, x=3

original number=10x+2x=30+6=36

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thanks

17.

InterchanginyThe ones digit of a 2 digit number is twice the tens digit. When the numberformed by reversing the digits is added to the original number, the sum is 99. Findthe original number.157

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let once digit = 2x and tens digit = x so no = 10x +2x = 12x reverse no = 20x + x = 21xgiven, 21x + 12x = 99 33x =99 x = 3 no original = 10*3+2*3 =36reverse no = 10*3*2 + 3 = 63

18.

The digit at tens place of a two-digit number is three times the digit at ones place. If the sum of this number and the number formed by reversing its digits is 88, find the number.

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let x = the 10's digitlet y = the unitsthen10x+y = the number:Write an equation for each statement::" the digit at the tens place of a two digit number is three times the digit at ones place."x = 3y:"The sum of this number and the number formed by reversing its digit is 88,"(10x + y) + (10y + x) = 8810x + x + 10y + y = 8811x + 11y = 88simplify, divide by 11x + y = 8:(Replace x with 3y)3y+y=84y=8y=2x+y=8x+2=8x=6

That is the solution.

19.

2. If m men can do a job in d days, then the number of days in which m+r mencan do the job is(A) d+ r;(B)(m + r);(D)黑m+r?m-+r

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One man will takemtimes as longto do the same job, so, the rate of workingfor 1 man is:[ 1 job ] / [ d * m days ] =1/dm--------------------More men will get the job done faster, so the new rate is[ m + r men ] x [ rate for 1 man ] =m+r/dm--------------------Now convert this to [ 1 job ] / [ time to do the job ]by dividing top and bottom bym+r---------------------------m+rmen will takedm/m+r daysto do the job

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20.

interchänginny eu. The ones digit of a 2-digit number is twice the tens digit. When the numberformed by reversing the digits is added to the original number, the sum is 99. Findthe original number.157

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Let tens digit be xThen ones digit be 2x

Then original no. = 10x+2xIf digits are reversed then tens digit is 2x and ones digit is xThen new no. = 20x+x

According to given condition10x+2x + 20x+x = 9933x = 99X = 3

Original No. 10x+2x=12x=36

21.

2The H.CF. of 6x4 y and 12xy-

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the hcf of 6x^4y and 12xy is 6xy

22.

(02)SECTION AQ.1 FILL IN THE BLANKS. (1 MARK EACH)1. Distance between A(2, 3) and B(1, 0) is2. The distance ofP(2,- 3) from the X-axis is

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I think 2 answér is x,0

√10 is the correct answer of the given question

√10 is the correct answer of the given questiony= -3 is the correct answer of the given question.

√10andy=-3is the answer of tgis question

23.

. Find the value of x such that:distance PQ distance QR, when P, Q, R are thepoints (6, -1), (1, 3) and (x, 8) respectively.

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thanks

24.

9. A and B together complete a piece of work in T" days. If A alone completes the work in T + 3 daysand B alone completes the piece of work in T +12days, what is T?

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as days can not be negative that's why we have taken only positive days

25.

How much should be substracted from 6x^2-8y^2+10xy to get -2x^2-2y^2+12xy+20?

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26.

Cose SinθSine l-Cost 2Cosecands vertically on a bank of a cevation of the top of the tower ithe foot of the tower. Th

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27.

4 -6 3(2 3fA02B410 then, 4A+3B2, Find ma6 2 -3-3 477

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28.

4[a-6{a-2(3a-4a+3)}]

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29.

9. 35 inland letters cost 87.50. How many such letters can we buy for R 315?

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30.

there be in 18.9 g of the alloy?9. 35 inland letters cost 87.50.315?How many such letters can we buy forcan be purchased for 6.5e

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31.

To complete a work in 27 day's, 52 men arerequired. How many men will be required to complete the same workin 36 days?

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For the work to be done in 52 days , men required = 27 days now 27*52 = 36*(no. of men)so no. of men = (52/27)*36 = 39 men.

32.

What is the remainder, if the face value of the digit at the lakhs place is subtractedfrom the place value of the digit at the lakhs place in the smallest six-digit numberformed by using all the digits other than 0, 2 and 5?(1) 199998 (2) 299997 (3) 399996 (4) 99999

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4 is the correct answer

4 is the correct answer

option 4 is the correct answer

option 4 is the best answer

the answer is option b

33.

Find the least number of six digits which is a perfect square. Find the square rogof this number.

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the 5000 find the least number find the least number of 6 digit which is a perfect square find the square root of this number

34.

5. Find the least number of six digits which is a perfect square. Find the squareof this number.

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35.

5.Find the least number of six digits which is a perfect square. Find the square to:of this number

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36.

29. If A and B together do a work in 6 days and A alone completes thiwork in 15 days, then in how many days will B alone finish they2work ?

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(A + B)'s one day work = 1/6A's one day work = 1/15

Then,B's one day work = (A+B)'s work - A's work= 1/6 - 1/15= (5 - 2)/30= 3/30= 1/10

Therefore, B alone will complete work in 10 days

37.

3. By what smallest number must 180 be multiplied so that it becomes ansquare? Also, find the square root of the number so obtained.10

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38.

The perimeter of a volleyball court is 60 m. It is 19 m long. Find its width.

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Perimeter =2 (length + breadth)So length=(perimeter/2) - breadthLength = (60/2) -19 =11

this answer is correct

39.

erimeter of a volleyball court is 60 m. It is 19 m

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Perimeter=2(length+breadth)60m=2(19+breadth)60/2=19+breadth30=19+breadthbreadth=30-19=11m

40.

If 56 people can finish a job in 40 days. How many people can do it in 14 days?

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41.

The perimeter of a volleyball court is 60 m. It is 19 m long

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Length = 19mPerimeter= 2(l+b) = 60=> l+b = 30=> b = 30-19 = 11m

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42.

What is the smallest number that must be multiplied to make it a perfect cube 5400

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43.

2. The perimeter of a volleyball court is 60 m. It is 19 m long. Find its width.long is its each side?

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44.

By which smallest number must 13122 be subtracted, so that the quotient is a pertestcube?

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45.

3. Find the greatest number of six digits which is a perfect square. Find the squareroot of this number.

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Let x² be the largest six-digit perfect square.

The largest six-digit number is 999,999, sox² ≤ 999,999.

You know that 1,000² = 1,000,000, which is only 1 more than 999,999, so x² must be the next smaller square, which is (1,000 - 1)².(1,000 - 1)² = 999² = 998,001.

46.

Find the equation of the line which intercepts a length 2 on the positivedirection of the x-axis and is inclined at 135° with the positive dircction of-axis.1

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47.

7. Find the equation of the line which intercepts a length 2 on thepositive direction of the x-axis and is inclined at 135" with the positivedirection of y-axis.

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48.

Find the least number of six digits which is a perfectsquare.

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49.

Find the greatest number of six digits which isroot of this number.Find the least number which must be added to 6203Also, find the square root of the number so obtained.to obtain

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50.

10. Find the least number of six digits which is a perfectsquare

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The smallest 6 digit number is 100000 We find the square root of 100000 with a calculator:  = 316.227766 We take the next larger whole number 317 We square 317 317² = 100489 That's the smallest perfect square which is a 6-digit number, because when we square 316 we only get 99856, which is only a 5-digit number. Answer: 100489

Find the least number of 6 digits which is a perfect square.?The smallest 6 digit number is 100000 We find the square root of 100000 with a calculator:  = 316.227766 We take the next larger whole number 317 We square 317 317² = 100489 That's the smallest perfect square which is a 6-digit number, because when we square 316 we only get 99856, which is only a 5-digit number. Answer: 100489

Answer

Least number of six digits is 100000.

∴√100000 = 316.2

Hence, Perfect square greater than 100000 is (317)2and least of six digits.

(317)2= 100489