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.

WHY ARE DAMS CALLED TEMPLe 011 MODERN INDTA2

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It was in a 1954 speech, during a ceremony commemorating the Bhakra Nangal dam project, that Nehru famously called dams the temples of modern India. A simplified answer to why he thought so is: Those were times when large dams and hydro projects signified the pinnacle of scientific development in the world - for Nehru, science was a serious and intense pursuit, a pursuit he felt would take India and Indians out of their misery and poverty - hence dams, which symbolized science, were important for Nehru and his conception of progress.

Also due to these reasons:1.Hydroelectricity 2.Fishing 3.Flood control4. Tourist spot5. Irrigation6. Soil conservation

2.

Exmmple 9: Show that 0.2353535. 0235 can be expressed in the fom 2where p and q are integers and q0

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3.

LIITConvert each of the following into an improper fraction :10

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a 33/4 b 68/7c 43/10

4.

Which of the following is an improper fraction?

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fractions in the form"p/q" where p>q.

5.

Example : 35 is a mixed number. Convert this into an improper fraction.2

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3 3/5=18/5 so two fractions are 12/5 and 6/5.

6.

3. Which of the following is not an improper fraction?(a)000(b)

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7.

9. ABCD is a trapezium in which AB || DC and itsdiagonals intersect each other at the point O. ShowAO COthat Bo DO

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8.

ABCD is a trapezium in which AB l DC and itsdiagonals intersect each other at the point O. ShowAO COthat BO DO--=

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9.

Clas9. ABCD is a trapezium in which AB || DC and itsdiagonals intersect each other at the point O. ShowAO COthat BO DO

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10.

J 9 ABCD is a trapezium in which AB I DC and itsdiagonals intersect each other at the point O. ShowAO COthat po DOBO DO

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11.

-star hotel in Delhi charges 10% sales tax on the price of this family had food for t685. Find the total money he had to painter paints 240 sq. feet of a wall If thi io 409he food taken. Msloll surface. w

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12.

Example: 3 5 is a mixed number. Convert this into an improper fraction.

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3 3/5=18/5 so two fractions are 12/5 and 6/5.

13.

" length of a diagonal of a rhombus is 30 cm and its area is 240 sq cm,perimeter.

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Here as in rhombus diagonal = √a^2+a^2= 2√aa= 30/√2so 4a= 120/√2= 60√2= 60*1.414= 84.84cm

14.

4. If length of a diagonal of a rhombus is 30 cm and its area is 240sq cits perimeter

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Let other diagonal of rhombus = d2Area of rhombus = (d1*d2) /2240 = 30*d2/2240/15 = d2d2 = 16 Let side of rhombus is sThen, Using pythagoras theorams*s = (d1/2)*(d1/2) + (d2/2)*(d2/2)s*s = 15*15 + 8*8s*s = 225 + 64s*s = 289s = 17

Side of rhombus s = 17 cmPerimeter of rhombus = 4*s = 4*17= 68 cm

15.

Why are bubbles formed in the soap solution?

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Bubbles are formed because of trapping of gas in soapy solution. Here it can be any gas.

In fact, there are two liquid-gas interfaces on a soap bubble - the one on the inside of the bubble and the one on the outside of the bubble. In between the two surfaces is a thin film of liquid

16.

Solve the following(a) x+4=12Find the solutionving more than o

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x+4=12x=12-4x =8ans

17.

Show that the diagonals of a rhombus divide it into four congruent triangles.

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Let the rhombus be ABCD and let there diameters intersect each other at O.Since,in a Rhombus all sides are equal,Therefore AB=ADand since ABCD isrhombus therefore its diagonals bisect each otherSo,AO=DOandAO=AO(common)ThereforeΔABO=~ΔADOSimilarly,ΔABO=~ΔBCOSimilarly,ΔBCO=~ΔDCOThereforeΔABO=~ΔBCO=~ΔCDO=~ΔADO

18.

Prove : Diagonals of a parallelogram divides it into 2 congruent triangles

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19.

Show that the diagonals of a rhombus divide it intofour congruent triangles.

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Let the rhombus be ABCD and let there diameters intersect each other at O.Since,in a Rhombus all sides are equal,Therefore AB=ADand since ABCD isrhombus therefore its diagonals bisect each otherSo,AO=DOandAO=AO(common)ThereforeΔABO=~ΔADOSimilarly,ΔABO=~ΔBCOSimilarly,ΔBCO=~ΔDCOThereforeΔABO=~ΔBCO=~ΔCDO=~ΔADO

20.

42 CnLEF, find AL: DM.u At respectively of a A ABC such that:. AD-89 cm. Prove that BC-5/2 DE., AL bcm and CED is the mid-point of side BC of a Δ ABCcuts AC at the point X. Prove that BE: EXAD is bis3:1ected at the point E and BE produced1617. ABCD is a parallelogram and APQ is a straight line meeting BCat P and DC prodQ. prove that the rectangle obtained by BP and DQ is faualtalAB and BC.

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21.

10. Prove that the line segments joining the middle points of the sides of atriangle divide it into four congruent triangles.fimto D F Earothe midnointc

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22.

2.Show that the diagonals of a rhombus divide it intofour congruent triangles.

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Let the rhombus be ABCD and let therediameters intersect each other at O.Since,in a Rhombus all sides are equal.

Therefore AB=AD and since ABCD isrhombus therefore its diagonals bisect each other.

So,AO=DOandAO=AO(common)ThereforeΔABO=~ΔADOSimilarly,ΔABO=~ΔBCO

Similarly,ΔBCO=~ΔDCO

Therefore, ΔABO=~ΔBCO=~ΔCDO=~ΔADO

23.

8.Find three difforent irrational numbers between the rational numbers andi

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24.

9. ABCD is a trapezium in which AB || DC and itsdiagonals intersect each other at the point O. ShowAO COal BO DOthat

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25.

The curves y =x^2 and 6y= 7-х^з intersect at(1,1) at an angle is

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26.

decimal expansion of 17.10(q+0), where p andasving terminating deom( 0) wh6. Look at several examples of rational numbers in the formintegers with no common factors other than I and having terminatinimations (exnansions). Can you guess what property q must sati

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27.

In the adjacent figure, ABCD and PQRS are parallelograms. Find angles x, y, z, w and t.

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28.

In the adjacent figure, ABCD is a llgm in which DAO=35°<OAB = 25°, <DOC-75°, find(i) <ABO(i) <ODC(ii) <ACB(iv) <CBD

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29.

In the adjacent figure ABCD is a parallelogramABEF is a rectangle show that ∆AFD~= ∆BEC

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Seg AD=seg BCangle FAD=angle CBE.seg AF =seg BE. ............... property of parallel linesBy SAS test∆ AFD=∆BEC

30.

In the adjacent figure ABCD is a parallelogramABEF is a rectangle show that ∆AFD-∆BEC.

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1)Seg AD=seg BCangle FAD=angle CBE.seg AF =seg BE. ............... property of parallel linesBy SAS test∆ AFD=∆BEC

31.

4. In the adjacent figure ABCD is a parallelogram Pand Q arethe midpoints of sides AB and DC respectively. Show thatPBCQ is also a parallelogram.

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32.

4. In the adjacent figure ABCD is a parallelogram P, Q are themidpoints of sides AB and DC respectively. Show thatPBCQ is also a parallelogram.

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33.

1. In the adjacent figure ABCD is a parallelogramDABEF is a rectangle show that AAFDABEC.2. Show that the diagonals ofartiombus divideitinofour congruent triangles.

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Let the rhombus be ABCD and let there diameters intersect each other at O.Since,in a Rhombus all sides are equal,Therefore AB=ADand since ABCD isrhombus therefore its diagonals bisect each otherSo,AO=DOandAO=AO(common)ThereforeΔABO=~ΔADOSimilarly,ΔABO=~ΔBCOSimilarly,ΔBCO=~ΔDCOThereforeΔABO=~ΔBCO=~ΔCDO=~ΔADO

34.

| 1, li तो x+3

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Limx tend to 3x+3= 3+3= 6please like the solution 👍 ✔️

35.

(—4 1ं a . b ¢) s ( ’6a ! b))

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36.

Example 6(se: Sanya has a piece of land which is in the shape of a rhombuse Fig. 12.13). She wants her one daughter and one son to work on the land andproduce different crops. She divided the land in two equal parts. If the perimeter ofthe land is 400 m and one of the diagonals is 160 m how much area each of them willget for their crops?A100 m

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37.

12a-9ab+ 5b-3 में से 4a - 7ab+ 3b + 12 को घटाइा

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38.

equations:(9b+6a)+4 (4a+5b)

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(9b + 6a) + 4 ( 4a + 5b)

9b + 6a + 16a + 20b

9b + 20b + 6a + 16a

29b + 22a

39.

Fihuind the céntre of a circle passing through the points (6,-6),(3,-7) and (3,3),

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40.

tan θcot θThe value of the expression11-cot θ 1-ta n θequal to(a)-1(c) T(b) 0(d) of these

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further solving leads tocancel seccosec so answer will be 1c) is correct answer

thanks. it's good solution.

41.

15. Sum of (0110), and (0101), ista) (101112(b) (01100)(c) (10100)(d) of these

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Paji a option is ans

42.

1. Convert 45°2010' into radians.

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43.

uniform rate of 2 cm /sqc in the surface area, throubottom. When the slant height of cone is 4 cm, find the rate of decrease oheight of watermple 2 Water is dripping out from a conical funnel of semi-vertical angleatthethef the slangh a tiny hole at the vertex of

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44.

iel perpendicular tisetor of each of ta sklesidi none of these

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The dual polygon ofa rhombusis a rectangle: ...A rhombushas an axis ofsymmetrythrough each pair of opposite vertex angles, while a rectangle has an axis ofsymmetrythrough each pair of opposite sides. The diagonals ofa rhombusintersect at equal angles, while the diagonals of a rectangle are equal in length.

45.

what is the milky way? why it is named so?

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The Romans named it via lactea precisely because it looks like a milky patch of sky above the Earth at night. But, the Romans weren't the first to name the galaxy. The Romans got the name from the Greeks, who called it galaxias kyklos, which translates into “milky circle.”They come in a variety of shapes and sizes. The Milky Way is a large barred spiral galaxy. All the stars we see in the night sky are in our own Milky Way Galaxy. Our galaxy is called the Milky Way because it appears as a milky band of light in the sky when you see it in a really dark area.

46.

(ii) rp2 20(iv) 2nP3 100. "P2Ul(vii) "P:P5:3, n > 430: 11M.D.U 2010

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47.

(a) 314071 10(b) 55715. Express the number in their standard form(a) The radius of the Sun is 695500000 m.(b) The distance of the planet Saturn from the Ea(c) The Andromeda Galaxy closest to the Milky vstars(d) Earth has 1353000000 cubic km of sea wat

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question is not clear .

48.

a. Which number is closest to zero on number line..i,-10

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option 4. -2 is the answer.

49.

Name the instrument used for measuring temperature.

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The answer of this question is Thermometer.

thermometer is used to meausure temperature

Name the devices used for measuring -Length or distance

50.

on (Q. Nos. 1-10) Those questions aro subjelnnotebook.kx + 1, ifπ is continuous at1 FinFind the value of k, so that the function (x) -e function f(x)-|cos x , if x > πx =π.fsing +cosx, x ± 0 is continuous at x = 0.

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tq for this