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.

牙村3. 3TTF TH 5, 7, 0, 6, 1, 334市

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134056713405761340675134065713407561340765

2.

6 \text { th term in the expansion of } \frac{4 x}{5}-\frac{5}{2 x} )^{9}

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3.

Solve for x and y:133x + 87y = 35387x + 133y = 307

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4.

239+946+649=

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The correct answer is1,834

5.

Which ratio is greater?a. 3:4 and 5:7b. 2:3 and 11:15

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6.

3.Find the value of 64 x3-1 25ัƒะท, if 4 x-5y = 16 and xy-12.

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7.

(a) 1+3+5+7+ 9 + 11+ 13 + 15 +17 +1921

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1+3+5+7+9+11+13+15+17+19+21=121

8.

87x + 41y = 10 तथा 41: + 37y = 86) निम्बू द्विदात समीकरण में £ के ऐसे मान ज्ञात कीजिए दि उसवास्तविक तथा बराबर हों।x2 - 2x(1+ 3k) + 7(3+ 2k) =0

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वास्तविक तथा बराबर मूल के लिएD जीरो से बड़ा ,बराबर होना चाहिए

= [ 2(1 + 3k)]² - 4×1×7(3 + 2k) = 0= 4×(1 + 3k)² - 4×7(3 + 2k) = 0= 4(1 + 9k² + 6k) - 4(21 +14k) =0= (1 + 9k² + 6k) - (21 +14k) =0=> 9k² - 8k -20 = 0

now solving the equation we get= 9k² - 18k + 10k - 20 = 0= 9k( k- 2) + 10(k -2) =0=> 9k +10=0 and k -2 = 0=> k = -10/9 and 2 answer

9.

X^2-2x-323

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Thanks a lot

10.

Factorise: X^2-2X-323

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11.

4 x + 5y=9

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12.

(9-239+2r) a

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(a+b)(a-b)= a² - b². (x²+6)(x²-6)= x⁴ - 36Please hit the like button if this helped you

13.

Exercise8.21. Two numbers are in the ration 2:3. If the sum of the numbers is 175. Find the numbers.2. Four-fifths of a number is 10 more than two-thirds of the number. Find the number.3. The sum of these consecutive number is 270: Find the numbers4. After 16 years Rina will be 4 times as old as she was 5 years ago. Find her present age.S. The difference between two whole numbers is 35. The ratio of the two numbers is 10:17. What are thetwo numbers?umer 6. Find the number, one-third of which, is 4 more than 5thth4of one part is eqa toof the other77. Divide 34 into two parts in such a way that. In a class of 80 students, the number of boys is four times of that of girls. How many are girls in the class?9. The length of a rectangle exceeds its breadth by 7 cm. If the length is decreased by 4 cm and the breadthis increased by 3cm, the area of the new rectangle is the same as the are of the original rectangle. Findthe length and the breadth of the original rectangle

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The product of four consecutive natural numbers is 840 . find the numbers

14.

160-Jin

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ram travels 160 kmin 8 hrs what is the speed of his car

distance is 160 kmtime is 8hrsspeed =distance/time=160/8=20km/hr

15.

: s—_____________Sm63+'-°”sm°2 27°७05 17" + cos’ 73°

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16.

MATHEMATICS9.Which is greater in each of th2 /53/2

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i) 2/3 = 0.6 bar5/2 = 2.5

so 5/2 > 2/3

5/2 greater becoz value of it is 2.5 and value of 3/2 is 0.6

5 by 22 by 3=0.65 by 2 = 2.5

17.

1. Find the unknown angles in the given figures:(iv)80°40°90°80°86°(vi)(vii)

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18.

The length of shadow of an object is greater than the height of the objec, thwhat is the angle of elevation?8.

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19.

BDEF)(iii) ar (In Fig. 9.25, diagonals AC and BD of quadrilateralABCD intersect at O such that OB = OD.If AB CD, then show that:=-ar (ABC).(DOC) = ar (AOB)(1) ar(ii) ar (DCB) ar (ACB)(ii) DA ll CB or ABCD is a parallelogram.Hint: From D and B, draw perpendiculars to AC.JFig. 9.25

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20.

70. (977 × 999 x 976 x 398),, 87(a) 3(b) 4()6(d) a

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977 का इकाई अंक = 7 976 का इकाई अंक = 6 999 का इकाई अंक = 9 398 का इकाई अंक = 8 7×6×9×8 = 42×72 = 3024 इकाई अंक = 4

21.

e three angles of a quadrilateral are 72, 36, 549. Find the fourth angle.5 7 11 15, and 19.Find th pobability of the num

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sum of angles of quadrilateral = 360°

=> fourth angle = 360-(72+36+54) = 198°

22.

(6) In the figure OA/OC = OD /OB then prove that LA= LC区

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23.

26 x 323 x 1632564

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(2^6×2^30×2^12)/2^32=2^48/2^32=2^16=4^8

24.

/87Find the value of 64 x 125y, if 4 x 5y 16 and xy 12.

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64x³ - 125y³ = (4x-5y)³ + 3(4x)(5y)(4x-5y)= (16)³ + 3(4)(5)(12)(16)= 4096 + 11520= 15616.

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25.

In the given figure, OA =OB and OC =ODShow that:(i)A.AOC=ΔΒ0D(ii) ACII BD.

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Where is the figure?

26.

The unit digit in the product of163 x 87x 239 be 1, then the digit thatthe place of * will be

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27.

A hesro amd . covck tegebhoLarkt 2= | Loo . जद —tho conk ef dha[ Lot 4y om0 — thid dhe stAnd. dha peak of S| & osck तर Jasao Mmfll‘g—

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28.

e Jin dha12./If the expression px +3x-3and 2x -5x + p when divided by x 4leave the same remainder, then the valueof p is(a) 0(c) 2(b) 1(d) 3

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hit like if you find it useful

29.

In Fig. 9.25, diagonals AC and BD of quadrilateralABCD intersect at O such that OB ODIf AB CD, then show that:(i) ar (DOC) ar (AOB)(ii) ar (DCB) ar (ACB)(iii) DA Il CB or ABCD is a parallelogram[Hint: From D and B, draw perpendiculars to AC.]

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30.

11. In the given figure, ABCD is a cyclicquadrilateral. AF is drawn parallel to CB andDA is produced to point E. If ADC = 92° <FAE = 20°, determine <BCD. Give reason insupport of your answer

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31.

In the given figure, ABCD is a cyclicquadrilateral. AF is drawn parallel to CB andDA is produced to point E. If ZADC 92.ZFAE 20°; determine ZBCD. Give reason insupport of your answer.0°92°

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32.

1. In the given figure, ABCD is a cyclicquadrilateral. AF is drawn parallel to CB andDA is produced to point E. If angle ADC = 92°angle FAE =20°: determine angle BCD. Give reason insupport of your answer.

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33.

EXAMPLE 18 In Fig.15.46, diagonals AC and BD of quadrilateral ABCD intersect at 0OB=OD. If AD=BC, show that:(i) ar (AAOD) = ar (ABOC)(ii) ar (AABD) = ar (AABC)(iii) DA || CB or, ABCD is a parallelogram.

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34.

2. If the angles of a triangle are equal, find its angles.

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35.

5, diagonals AC and BD of quadrilateralD intersect at O such that OB ODIn Fig. 9.2If AB CD, then show that(i) ar (DOC) ar (AOB)(ii) ar (DCB)-ar (ACB)(iii) DA CB or ABCD is a parallelogram[Hint : From D and B, draw perpendiculars to AC.J

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36.

1. The sull Usm of digits of a two digit number is 13. If the number is subtracted from the oneobtained by interchanging th2.e digits, the result is 45. What is the number?

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thanks

I am trying to do this question for a long time

37.

if the unit digit of a number is thrice the tens digit and its digits are flipped when 18 is added.find the number.

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38.

The unit digit in /the product of163 x 87 x 239 be 1, then the digit thatthe place of * will be/X

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39.

In Fig. 9.25, diagonals AC and BD of quadrilateralABCD intersect at O such that OBIf AB CD, then show that: ar DOC) ar(AOB)(i) ar (DCB)-ar(ACB)6.OD.(iii) DAIICB or ABCD is a parallelogram.[Hint : From D and B, draw perpendiculars to AC.]Fig. 9.25

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40.

In Fig. 9.25, diagonals AC and BD of quadrilateralABCD intersect at O such that OB ODIfAB CD, then show that:(i) ar (DOC)-ar (AOB)(ii) ar (DCB)-ar (ACB)(iii) DAll CB orABCD is a parallelogram[Hint: From D and B, draw perpendiculars to AC.]6.Fig. 9.25

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41.

In Fig. 9.25, diagonals AC and BD of quadrilateralABCD intersect at O such that OB = OD.If AB=CD, then show that:(i) ar (DOC)=ar (AOB)(ii) ar (DCB)= ar (ACB)(iii) DA || CB or ABCD is a parallelogram.[Hint: From D and B, draw perpendiculars to AC.)Fig. 9

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option ii is the correct answer

Given,ABCD is a quadrilateral in which AB = CD its diagonals AC and BD intersect at O such that OB=OD.

To show:

(i) ar (DOC) = ar (AOB)

(ii) ar (DCB) = ar (ACB)

(iii) DA || CB or ABCD is a parallelogram.Construction,

DE ⊥ AC andBF ⊥ AC aredrawn.

Proof:

(i) In ΔDOE and ΔBOF,

∠DEO = ∠BFO (each 90°)

∠DOE = ∠BOF (Vertically opposite angles)

OD = OB (Given)

Therefore, ΔDOE ≅ΔBOF

(by AAScongruence rule)

Thus, DE = BF (By CPCT) — (i)

also, ar(ΔDOE) = ar(ΔBOF) ........(ii)

(Two Congruenttriangles have equal areas)

Now,

In ΔDEC and ΔBFA,

∠DEC = ∠BFA (each 90°)

CD = AB (Given)

DE = BF (From i)

Therefore,ΔDEC ≅ΔBFA

byy RHScongruence rule)

Thus, ar(ΔDEC) = ar(ΔBFA) ........(iii)

(TwoCongruent triangles have equal areas)

Adding (ii) and (iii),

ar(ΔDOE)+ ar(ΔDEC) = ar(ΔBOF)+ ar(ΔBFA)

ar (DOC) = ar (AOB)

(ii)ar(ΔDOC) = ar(ΔAOB)

⇒ar(ΔDOC)+ ar(ΔOCB) = ar(ΔAOB) + ar(ΔOCB)

(Addingar(ΔOCB) on both sides)

ar(ΔDCB)= ar(ΔACB)

(iii)From part (ii) (ΔDCB) & (ΔACB) have all areas and have the same base BC.So, (ΔDCB) & (ΔACB) must lie between the same parallels.

DA || BC — (iv)

∠FBO= ∠EDO.....(v)

(ΔDOE ≅ ΔBOF )

∠FBA=∠EDC.....(vi)

(ΔDEC ≅ ΔBFA )

On adding eq v & vi

∠ABD=∠CDB

Therfore,DC||AB......(vii)

From eqiv & vii, We get DA||CB & DC||AB

Hence,ABCD is parallelogram .

ii) is the correct answer

42.

9.25, diagonals AC and BD of quadrilateralIn Fig.ARCD intersect at O such that OB ODIf AB CD, then show that:A.(i) ar (DOC) ar (AOB)(ii) ar (DCB) ar (ACB)(iii) DAll CB or ABCD is a parallelogram.[Hint: From D and B, draw perpendiculars to AC.]Fig. 9.25

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43.

Exponent if 1024 is explo(34)3 – (33)3(3fa þ* *158 x8510 ×94

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why issue give me reason

44.

In Fig. 11.25, diagonals AC and BD of quadrilateralABCD intersect at O such that OB ODIfAB CD, then show that:(i) ar (DOC)-ar (AOB)(ii) ar (DCB)-ar (ACB)(iii) DA CB or ABCD is a parallelogram.[Hint: From D and B, draw perpendiculars to AC.]6.Fig. 11.25

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45.

eth) < &है 2)८ (6 1 ही

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(a + b)² - ( a -b)²

a² + b² + 2ab - ( a² + b² - 2ab)

a² + b² + 2ab - a² - b² + 2ab

4ab

46.

In Fig. 9.25, diagonals AC and BD of quadrilateralABCD intersect at O such that OB = ODIfAB = CD, then show that:6.(i) ar (DOC)ar (AOB)(i) ar (DCB) ar (ACB)(iii) DA 11 CB orABCD is a parallelogram.[Hint: From D and B, draw perpendiculars to AC]Fig. 9.25

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47.

6. In Fig. 11.25, diagonals AC and BD of quadrilateralABCD intersect at O such that OB OD.IfAB = CD, then show that:(i) ar (DOC) ar (AOB)(ii) ar (DCB) ar (ACB)(iii) DA] CB or ABCD is a parallelogram.[Hint: From D and B, draw perpendiculars to AC.]Fig. 11.25

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Thank-you

48.

e th2 is

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We know √2 is an irrational number

Let 3 + √2 be a rational number ,

3 + √2 = r , where r is any rational

√2 = r - 3This is an absurd result because LHS is irrational and RHS is rational so this is a contradiction to our assumption, hence3 + √2 is an irrational number

49.

math kese kahte hai

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गणितऐसी विद्याओं का समूह है जो संख्याओं, मात्राओं, परिमाणों, रूपों और उनके आपसी रिश्तों, गुण, स्वभाव इत्यादि का अध्ययन करती हैं। गणित एक अमूर्त या निराकार (abstract) और निगमनात्मक प्रणाली है। गणित की कई शाखाएँ हैं:अंकगणित,रेखागणित,त्रिकोणमिति,सांख्यिकी,बीजगणित,कलन, इत्यादि। गणित में अभ्यस्त व्यक्ति या खोज करने वाले वैज्ञानिक कोगणितज्ञकहते हैं।

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50.

saturvuj kise kehete hai?

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चार भुजाओं से बने हुए आकृति को चतुर्भुज कहते हैं

Figure having four number of sides is known as tetragon.