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.

® % - OSing A 0Lo = BTESY T BEANE + baing.कट शव कै रे e PR TR 5 ”“’Lm*b ;

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2.

PRACTICE EXERCISE 10.47of money becomes- of itself in 6 years at a certain rate of interest. Find theborrowed1500 from a financer. After 3 + years, he paid2655 to the finance

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3.

aveo o] ~the “r‘m\%\'«"g, (o 051) (9१०0) | )

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Given coordinates are (1,1), (a+1, a+1), (a+2, a)

Area of triangle = 1/2(x1(y2-y3)+x2(y3-y1)+x3(y1-y2))

= 1/2(1(a+1 - a) + (a+1)(a - 1) + (a+2)(1 - a - 1)

= 1/2[ 1 + a^2 - 1 - a^2 - 2a]

= - 2a/2

= - a

(d) is correct option

4.

The capacity of a vrater jug is 500 ml. The water level is 200 ml below the top. Calculatethe level of water in jug

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Given, the capacity of jug= 500mlwater is 200 ml below the top. this means, the water is at (500-200) ml level500-200=300mlso the water is at 300 ml.

5.

051, B0 oनाच डी0. का.

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6.

10. Pipe A can fill a tank in 20 hourswhile pipe B alone can fill it in 30hours and pipe C can empty the fulltank in 40 hours. If all the pipes areopened together, how much time willbe needed to make the tank full?1

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7.

(C.B.S.E.2010)15 Iff:R R is defined by f(x) 2-3x+2, find f())(C.B.S.E. 2007)

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Thnqq so much

8.

थी. समीकरणों को सन्तुत्नित कीजिए--HNO; + Ca(OH); — Ca(NOy), + H,0NaOH + H,;SO4 — NaySO, + H,0BaCl, + H,SO4 — BaSO, + HCI

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a)Ca(OH)2+2HNo3= Ca(No3)2+2H2O

b)2NaOH + H2So4= Na2So4+2H2O

c)BACl2+ H2So4= BASo4+2HCl

9.

· A sum of money lent out at simple interest amountsto 1240 in 4 years and to 1360 in 6 years, thenthe sum of money is-

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10.

6८८ (0: hisjide 26 धुत ¢ 6 10022

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11.

t triangle is 7 cm Iess than its 9856. If the hypotenuse is 13 cm, !’Y

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Let the base be xthen altitude = x-7hypotenuse= 13 cmby ptx2+(x–7)2=132x2+x2+49–14x=1692x2–14x+48–169=02x2–14x–120=0x2–7x–60=0x2–12x+5x–60=0x(x–12)+5(x–12)=0(x–12)(x+5)=0x=12 orx=–5as we know that length of triangle can not be negativebase=x= 2cmaltitude=12–7=5cm

12.

.secondemstde1 neside is o chi iess than tlal(b) The perimeter of atrangle is 14 стide is 3 cm more than the second side. The first side of the triangle is unknown.

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13.

Its lengthis2m more thanThe perimeter of a rectangular swimming pool is 154mtwice its breadth. What are the length and the breadth of the pool?2.

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14.

A rectangular swimming pool measures 15 m by 10 m. How wide must a concrete walk aroundthe pool be if the walk is to have a perimeter of 66 m?

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15.

length 70 m and breadth 5b. wmA swimming pool has length 25 m and breadth 10 m. Find the volume of water required to filthe pool if its depth is 3 m.

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16.

operating simis when Arjun had = 100.A swimming pool is filled by three pipes with uniform flow. The 1st pipe and 3rd pipe togetherAns.ating simultaneously, fill the pool in the same time during which the pool is filled by the 2nd pipe3rd pipe fill the pool five hour faster than Ist pipe and four hours slower than 2nd pipe. Findhe time required by each pipe to fill the pool ser

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17.

t can take 12 hours to fill a swimming pool using two pipes. If the pipe of larger diameter is usedfor 4 hours and the pipe of smaller diameter for 9 hours, only half the pool can be filled. How longwould it-take for each pipe to fill the pool separately?

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18.

S omdel which vides 20102.8 What must be added to 6x582 +5+5 so that it is exarts so that it is exactly divisible by 3x4,

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19.

There is 60%chance that it will rain tomorrow.find the probability that it will not rain tomorrow.

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Probability of no rain =1-.6=.4 Thus .4 is the probability of no rain.

probability will be 1-60%= 1-60/100= 40/100= 40% will be probability of rain

leave a thank you please!!!!

20.

Niin(a) Expressas a radical.

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21.

prove that two equilateral Triangles having one pair of corresponding sides equal are congruent

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In ∆ABC and in ∆PQR, AB = BC = CA and PQ=QR=RP.

Given: AB = PQ. This also implies that BC = QR and CA = RP.

Thus, these two triangles are congruent. (SSS axiom).

22.

Show that the diagonals of a parallelogram divide it into four triangles of equal area.

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we know that diagonal of a parallelogram bisect each otherthere fore AO is equal to OCandDO is equal to OBin parallelogram ABCD AC is the diagonal and O is the median of triangle divide it into two eqaul parts of equal trianglesthis implies in triangle ABC, oc is median there fore ar(AOC)is equal to ar (BOC) (1)

similarly in triangle CBD, OB is median ar(COB) is equal to ar(BOD) (2)

in trianle BAD, OD is medianar(BOD) is equal to ar(AOD) (3)

NOW from 1,2 and 3 we get ar(AOC)=ar(BOC)=ar(BOD)=ar(AOD)hence, prooved

23.

mother said, "to make idlis, you must takerts 'Rice' and one part 'Urad Dal" Whatgeof such a mixture would be rice and whatage would be Urad dal?INCERT

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Rice percentage will be 2/3 %Which is 66.6%And the urad dal is 1/3%That is 33.3% approx.

24.

Solve for x: +5 7

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25.

Solve:(i)x-5 = 7

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x - 5 = 7

Adding 5 on both sides

x - 5 + 5 = 7 + 5

x = 12

x=7+5=12Take a PHOTO of any question and get explanations instantly! This is the app you've been waiting for and it's totally free.Download it here:https://scholr.app.link/gB6v49F2RT

26.

3(i) (sin90°+ cos60° + cos45°) X (sin 30° — cos0° + cos 45°)

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sin90=1cos60=1/2cos45=1/√2sin30=1/2cos0=1cos45=1/√2Hence put in the equation hence1+1/2+1/√2*(1/2-1+1/√2)=(3/2+1/√2)*(-1/2+1/√2)=3√2+2/2√2*(-√2+2/√2)=-6+6√2-2√2+4/2=-2+4√2/2=-1+2√2

sin90=1,cos60=1/2,cos45=1/2

27.

Ifx-C3-2y2), show that (f-w=Âą2If x = (3-2/2),show that l-/x-

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28.

13 What are the processes of solving a linear equation3x-7_=I, using one or more processes.Solve:

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29.

13 What are the processes of solving a linear equation ?3x-7/5Solve :-=1, using one or more processes.

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30.

31. Show that A(1, 2), B(4, 3), C(6, 6) and D(3,5)aretheverticesofaparallelogram. Show that ABCD is not a rectangle.

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31.

15. Ifsîn θ!, show that ν/cosec e-corol.cosecg-copsec"6-1315. If sin θshow that,

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32.

3Show that lim x cos0

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since the function of cos has always a finite range from [-1,1]

so, cos(3/x) will always given a bounded value between [-1,1]

therefore , the limit will only depend on x³.

and when x →0- , the x³→0

so lim x³cos(3/x) → 0.

33.

1-36||, then show that A3 = A.If A=IfA= (-2), then show that AP = A

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34.

. Show that the diagonals of a parallelogram divideit into four triangles of equal area.

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35.

Three conditions of Rolle's theorem are(a) Necessary but not sufficient (b) Sufficient but not necessary(c) Necessary as well as sufficient(d) of these

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Rolle’s theorem states that, If y=f(x) be a given function and which satisfies certain conditions.

f(x) is continuous on the closed interval [a,b]

f(x) is differentiable on the open interval (a,b)

f(a)= f(b)

The conditions of the Rolle's theorem are only sufficient, as there function can exists , which can violate the above condition but still can follow result of rolle's theroem.So option (b) is correct

okk but how to not necessary??

take example :

okkkk thank you so much

36.

. A sample of ammonia weighs 3.00 g. What mass of sulphur trioxide contains the samember ofolecules as are in 3.00 g ammonia?

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number of moles of ammonia = 3.00/17= 0.1764molMolecular mass of So₃=1*32u+3x16u= 80u1mol of So₃,weighs= 80gso 0.1764 moles weigh = 80*0.1764= 14.11 g

37.

b] Explain common ion effect with suitable example.

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The common-ion effect states that in a chemical solution in which several species reversibly associate with each other by an equilibrium process, increasing the concentration of any one of its dissociated components by adding another chemical that also contains it will cause an increased amount of association

Common Ion Effect. ... Thecommon ion effect can make insoluble substances more insoluble. Thecommon ion effectcauses the reduction of solubility when adding likeions. Anexampleof thecommon ion effectis when sodium chloride (NaCl) is added to a solution of HCl and water.

38.

1 G 10 ) =Write the definition of the foll(1) Rational numbers(2) Multipicture Identity(3) Additive identity

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1)the numbers that can be written in the form of p upon q and q not equal to zero

39.

35. Show thay 298+sece-1tang-seco+1o o W T T SN S S कि ७ न ८m‘—-—m using identity.

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40.

० न :i s 1 —, using the identity sec? 8 = 1+ tan® 8

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41.

VONILite30. A rope of length 10 m has been divided into 8 pieces of the same length. What is the length ofeach piece?ESTIMATIrestefore estimation, we must knandred, nearest theT the sam

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lanth of rop=10m divide into 8 ewuel pieceslanth of one paice 10/8=1.25meter

42.

\frac { 3 } { 11 } \text { by } \frac { 7 } { 22 }

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3/11 ÷ 7/22= 3/11 × 22/7= 3/1 × 2/7= 6/7

43.

COMPLETE COURSE ~ 3 andh-せ!

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f(x) = x²

=> f'(x) = 2x... which is always continuous

so, f(x) = x² is always differentiable for all the values of x

which means f'(2) = 2*2 = 4

44.

1. Rajan can do a job in 60 days.(i) How much of the job will he be able to finish in a day?(i) How much of the job will he be able to do in 36 days?(ii) In how many days will he do of the job?2

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45.

1. Rajan can do a job in 60 days.(i) How much of the job will he be able to finish in a day?(il) How much of the job will he be able to do in36 days?u) In how many days will he do 5 of the job?2

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46.

70°Find the value of the unknown interior anigle x in the following figure.1009

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47.

\begin { equation } ^{12} C_{r}-11 C_{7}=11 / C_{0}, \text { then find the value(s) of } r \end { equation }

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48.

उदाहरण 1. समान्तर श्रेढ़ी 5, 8, 11, 14, 17, ... का 16 वाँ पद तथा। वाँ पद ज्ञांत R2 जज R =

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wrong, ans-50

49.

((-3)/11)*(text*((7/11)*(f*(r*(m*o)))))

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50.

using identity1 - (0.99) 2 square

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identity used