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.

(g) Menaka travelled 5 km from the house to the school and back again. Whatdistance did she travel altogether ?

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Total distance will be 2*5km=10km

2.

(g) Menaka travelled 5 km from the house to the school and back again. Whatdistance did she travel altogether?

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Menaka travelled 5 km from house to school and back againTotal distance she traveled is = 5+5=10 km

3.

. 2. The adjacent sides of a parallelogram are 34 em,20 cm and a diagonal is 42 cm. Find the area ofthe parallelogram. Board Term I, 2012, Set-45]

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4.

A Lawn roller makes 20 revolutions in one hour. Theradians it runs thought 25 minutes is2

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5.

Aman's MethodRidhima's Method34 cm. The length of one of the parallel sides3. The area of a trapezium isheight is 4 cm. Find the length of the other parallel side.1nta buy a trapezium shaped field. Its side along a river isto buva trapezi tini sof this field is 10320 m2 and the A

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Area of Trapezium=1/2×sum of parallel sides× perpendicular distanceSo,34=1/2×(10+x)×4Or,34=2(10+x)Or,17=10+xOr,x=17−10=7cm

6.

Example 6, The area of trapezium is 34 cm2 and thelength of one of the parallel sides is 10 cm and itsheight is 4 cm. Find the length of the other parallelside

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7.

2. The area of a trapezium is 34 cm and the length of one of the parallel sidesisD 10 cm and its height is 4 cm. Find the length of the other parallel side.

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8.

So onc lthe palaner sides Is10 cm and its height is 4 cm. Find the length of the other parallel side.3. Length of the fence of a trapezium shaped fieldABCD is 120 m. IFBC 48 m, CD 17 m and AD-40 m, find the area of this field. SideAB is perpendicular to the parallel sides AD and RG

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9.

In a AABC, it is given that AD 4is the inernal bisector of AN AB-10 om AC-14 om and(a) 4.8 cmb) 35 m(c) 7 cm(d) 10.5cm

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10.

In Pigure 2, DE i BC. Piad the length of side AD, given that AE- 1-8BD7.2 em and CE 54cm.72 om34 emFigure 2

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AD/DB= AE/ECsohereAD/7.2= 1.8/5.4AD= 2.4cm

11.

Find om so that at son(-3) m+ 4 X (-3) = (-3)7

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m=1 is the right answer

so that the answer is m = 1

m= 1 is the correct answer

m=1 is the correct answer

m = 1 is the correct answer.

sol.(-3)m+1+5=(-3)7=(-3)m+6=(-3)7=m+6=7=m=7-6=m=1 ans.

(-3)^m+1*(-3)^5=(-3)^7(-3)^m+1+5=(-3)^7m+6=7m=1

m= 1is the correct answer

m+5+1=7m=7-6m=11 is the answer

m=1 is the write answer

m = 1 is the correct answer

m=1 is the best and right answer

m=1 is the right answer of your question

m=1 is the ri8 answer

answer is m=1 is the right answer

m=1 is the correct answer

.....m+1+5=7then m=1

m= 1 is the correct answer

m=1 IS A right answer

m=1 is the right answer take common on between

m=1 is the right answer m=1

m=1 is the answer

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ఆన్సర్ ఇస్ వన్ (-3)m+⁵☆ (-3)⁵ = (-3)⁷(-3)m+¹+⁵ =(-3)⁷(-3)m+⁵ = (-3)⁷

therefore m+6 =7m=7-6m = 1

m=1 is right answer plz like

m=1 this is the right answer

m+1+5=7 and m=1 is the answee

M=1 is the answer of your question

The correct answer is m=1

M=1 is the best answer

m=1 is correct answer.

m+5+1=7m=7-6Therefore m=1

m=1 is the right answer

m=1 is the correct answer.

1 is the answer of this question

M=1 is the correct answer

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m=1 is the right answer

m=1 is a right answer

m=1 is the correct answer of this question

m=1 is the correct answer h

( -3)m+1+5=(-3)7, m+6= 7,m= 7-6=1 right answer is m=1

here bases are equal then powers should be added so m+1+5=7;m+6=7; m=7-6;m=1 is the answer

5+7 is12 then 12-1is11 then m is 11

m=1 is the right answer.

m= १ is the superb answer so enjoy and continue पोस्ट such questions

12.

a circle. Find ot the Tiuita circle of radius 5 cm, AB and CD are two parallel chords of8 om and 6 cm respectively. Calculate the distance betweenif they arei) on the same side of the centre) on the opposite sides of the centre.the chonds12

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13.

25. Prove that in a right angled triangle square of the hypotenuse is equal to sum of the squaresofother two sides

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construct a right triangle right angled at B.

construction:construct a perpendicular BD on side AC.

GIVEN:angleB=90

TO PROVE:AB^2+BC^2=AC^2

PROOF: In triangle ABD and triangle ABC,

angle A=angle A

angle ADB=angle BDC=90°

therefore, triangle ADB is similar to triangle ABC.

=>AD/AB=AB/AC (sides are in proportion)

=>AD×AC=AB^2-------1

Similarly, triangle BDC is similar to triangle ABC

BC/DC=AB/BC (sides are in proportion)

which implies AC×DC=BC^2-----2

adding 1 and 2

AD.AC=AB^2

AD.AC+AC.DC=AB^2+BC^2

=AC(AD+DC)=AB^2+BC^2

=AC^2=AB^2+BC²

Hence proved.

14.

The area of a trapezium is 34 sqcm & the length of one of the parallel sides is 10 cm and its height is 4 emFind the length ofother parallel side.

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Let the lengths of parallel sides = 10cm and b cm

height = 4cm

area = 1/2 × (10+b) × 4

34 = 2 × (10+b)

10+b = 34/2 = 17

b = 17-10 = 7cm

the length of the other parallel side is 7cm

15.

L. Find the area of each of the following parallek glani:3 cm4 om5 cm7 cm(aj4 4 om48 cmie)

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16.

163D, E and F are respectively the mid-points of the sides BC, CA and AB ofa Δ ABC.Show that5.(i) BDEF is a parallelogram.(i) ar (DEF)- A ar (ABC)()ar (BDER 2 ar(ABC)

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17.

20. A postman delivers 117 letters in a day. How many letters will hedeliver in 28 days?

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117 letters in one day so in 28 days 28×117 = 3276 letters.

18.

1.8 cn72 cm3 om

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19.

Theorem I. (Derivative of sum) If u () anddifferentiable functions of the scalar t, to show thatv (t)be twodt

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20.

A thief runs with a uniform speed of 100 m/minute. After one minute apoliceman runs after the thief to catch him. He goes with a speed of100 m/minute in the first minute and increases his speed by 10 m/minuteevery succeeding minute. After how many minutes the policeman will catchthe thief.

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Let the policeman catch the thief in n minutes.

Given that uniform speed of the thief = 100m/min.

Given that After 1 minute a policeman runs to catch him at the speed of 100 in first minutes.

(n + 1) minutes = 100(n + 1) minutes.

Given that speed of policeman increase by 10m/min.

The speed of police in 1 minute = 100m/min.

The speed of police in 2 minutes = 110m/min.

The speed of police in 3 minutes = 120m/min.

The speed of police in 4 minutes = 130m/min.

Hence 100,110,120,130 are in AP.

Let a be the first term and d be the common difference.

a = 100,d = 110 - 100 = 10.

We know that sum of n terms of an ap = n/2(2a + (n - 1) * d)

= n/2(2(100) + (n - 1) * 10) ------ (1)

The distance traveled by the thief = Distance traveled by the police

100(n + 1) = n/2(2 * 100+ (n - 1) * 10)

100n + 100 = n/2(200 + 10n - 10)

200n + 200 = 10n^2 + 190n

10n^2 + 190n - 200 = 200n

10n^2 - 10n - 200 = 0

n^2 - n - 20 = 0

n^2 -5n + 4n - 20 = 0

n(n - 5) + 4(n - 5) = 0

(n -5)(n + 4) = 0

n = 5 (or) n = -4.

n cannot be negative.

Therefore the time is taken by the policeman to catch the thief = 5minutes.

21.

Question:A thief runs with a uniform speed of 100 m/minute.After one minute a policeman runs after the thief tocatch him. He goes with a speed of 100 m/minute in thefirst minute and increases his speed by 10 m/minuteevery succeeding minute. After how many minutes thepoliceman will catch the thief.

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Let the police catch the thief in n min

As the thief ran 1 min before the police...time taken by the thief before being caught = (n+1) min

Distance travelled by the thief in (n+1) min = 100(n+1)m

Speed of police in 1st min=100m/min

Speed of police in 2nd min=110m/min

...3rd min = 120m/min.........so on

100,110,120,............ this forms an AP

Total distance travelled by the police in n min = n/2(2 x 100 +(n-1)10)

On catching the thief by police,distance traveled by thief= distance travelled by the police

100(n+1)= n/2(2 x 100 + (n-1)10)

100n + 100= 100n +n/2(n-1)10

100=n(n-1)5

n2-n-20 = 0

(n-5)(n+4) = 0

n-5 = 0

n= 5 OR n= -4...(but this is not possible)

so, n= 5

Time taken by the policeman to catch the thief = 5min

22.

In the diagram on a Lunar eclipse, if the positions of Sun, Earth and Moon areshown by (-4,6), (h. -2 and 5,- 6) respectively then find the value of I

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ans.👇

23.

qualtΔABC is given. If lines are drawn through A, B,parallel respectively to the sides BC, CA and AB,forming AOR, as shown in the adjoining figure, showthat BQR.

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where is answer

hmm thik h

24.

3. Two sides AB and BC and median AMof one triangle ABC are respectivelyequal to sides PQ and QR and medianPNoA POR (see Fig. 7.40). Show that:(i) ΔΑΒΜΞΔΡΟΝ(ii) ΔABC APORR.

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thanks

25.

Two sides AB and BC and median Aof one triangle ABC are respectivelyequal to sides PQ and QR and medianPN of A PQR (see Fig. 5.40). Show that:(j)Δ ABCAPORFig. 5.40

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Tq

26.

a uniform speed of 100 m/minute. After one minute, a policeman runs after theA thief runs withthief to catch him. He goes with a speed of 100 m/minute inspeed by 10 m/minute every succecding minute. After how many minutes thecatch the thief. What value is depicted in this question?

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Thief speed=100m/mintime taken by police before catching the thief= xthen the time of thief being catched= x+1as the police increases his speed 10 m/min every succeeding minute,his time taken forms an ap- 100,110,120......

distance of thief=time*speed=100*(x+1)-----------------1

distance covered by police=sum of x terms of the apsn=x/2 (2(100) + (x-1) 10)sn=x(100+5x-5)sn=95x-5x square---------------2as the distance covered by police and thief are same,1=295x-5x square=100*(x+1)95x-5x square=100x + 1005x square-5x-100=0xsquare-x-20=0

if we solve this equation,we will get x= -4 and x=5as time cannot be negative, 5 is the right answer.thus the time taken by the police to catch the thief=5 mins.

27.

DaleAl 여S

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maan lo ki anupat x hai to sankhya 3x aur 8x ho jaegi therefore , dono ka antar hai 116 so, 8x - 3x = 116 5x = 116 x = 116/ 5badi sankhya 7x = 7 × 116/5= 162.4 hai

28.

Discuss with your friends that in what way similarity of triangles is different fromsimilarity ofother polygons?

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Forpolygons(includingtriangles),similaritymeans that the corresponding angles are same. The converse is also true, that is, if the corresponding angles of twopolygonsareequal , then the twopolygonsaresimilar. ... If all the sides are scaled by a common factor, the two polygonsare not necessarilysimilar.

29.

truct a ΔABC in which ABE AC5.2 cm and < A120°. DrawADL BC.

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30.

. An altitude of a triangle is five-thirds the length of itscorresponding base. If the altitude were increasedby 4cm and the base be decreased by 2cm, the areaof the tlangle would remain the same. Find the baseand the altitude of the triangle.

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31.

an altitude of a triangle is five-thirds the length of its corresponding base if the altitude be increased by force and them and the best decreased by 2 cm the area of a triangle remain the same find the base and the altitude of the triangle

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32.

truct a triangle ABC in which BC 8cm, B 45 and AB -AC 3.5 cm.

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33.

DalePageProve: Carb) a + 2ab + b2

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34.

eler: ABC ~ DEF is a similarity, in ΔABC and ADEF. If 3AB-DE and DF 9, find AC

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35.

Explain coefficient of viscosity.

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The degree to which a fluid resists flow under an applied force, measured by the tangential friction force per unit area divided by the velocity gradient under conditions of streamline flow.

The degree to which a fluid resists flow under an applied force, measured by the tangential friction force per unit area divided by the velocity gradient under conditions of streamline flow, is the right answer

coefficients of viscosity. The degree to which a fluid resists flow under an applied force, measured by the tangential friction force per unit area divided by the velocity gradient under conditions of streamline flow.

the ratio of applied stress upon strain. (n). or the degree to which a fluid resist flow under applied pressure is knows as viscosity

the degree to which a fluid resists flow under an applied force is called velocity

the degree to which a fluid reststs flow under an applied force, measured by the tangential friction force per unit area divided by the velocity gradient under conditions of streamline flow.

coefficient of viscosity. noun. pl.coefficients of viscosity. The degree to which a fluid resists flow under an applied force, measured by the tangential friction force per unit area divided by the velocity gradient under conditions of streamline flow.

The degree to which a fluid resists flow under an applied force, measured by the tangential friction force per unit area divided by the velocity gradient under conditions of streamline flow.

the drgree yo which a fluid resists

coefficient of viscosity. noun. pl.coefficients of viscosit tangential friction force per unit area divided by the velocity gradient under conditions of streamline flow.

Viscosity is defined as thedegree up to which a fluid resists the flow under an applied force; it is measured by the tangential friction force acting per unit area divided by the velocity gradient under conditions of streamline flow.

coefficient of viscosity is defined as the viscous dragging force which maintain a unit velocity gradient between two parallel layers each of unit area. it decreases with temperature its unit poise

the degree to which a fluid resist Flow under an applied force is called applied

the degree to which a fluid resists flow under an applied force measured by the tengential friction force per unit area divided by the velocity gradient under conditions of streamline

The degree to which a fluid resists flow under an applied force, measured by the tangential friction force per unit area divided by the velocity gradient under conditions of streamline flow.......,.

the slow flowing property of liquid is called viscocity

the measure of the viscosity of a fluid, equal to the force per unit area required to maintain a difference of velocity of one unit distance per unit time between two parallel planes in the fluid that lie in the direction of flow and are separated by one unit distance: usually expressed in poise or centipoise.

The degree yo which a fluid resists

the coefficient of viscosity. noun. pl.coefficients of viscosity. The degree to which a fluid resists flow under an applied force, measured by the tangential friction force per unit area divided by the velocity gradient under conditions of streamline flow.

The degree to which a fluid resists flow under an applied force, measured by the tangential friction force per unit area divided by the velocity gradient under conditions of streamline flow

It may be defined as The degree to which a fluid resists flow under an applied force, measured by the tangential friction force per unit area divided by the velocity gradient under conditions of streamline flow

Coefficient of viscosityis the degree to which a fluid resists flow under an applied force. It is expressed as the ratio of the shearing stress to the velocity gradient. As the temperature increases thecoefficient of viscosityof liquids decreases because the bonds between molecules are weakened

coefficient of viscosity- a measure of the resistance to flow of a fluid under an applied force

36.

in which ines are drawn through A, B and C paralial to the sidesBC, CA and AB respectively forming APOR. Show that BC- 1QR.2

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Given In ΔABC, PQ || AB and PR || AC and RQ || BC.To show BC = 1/2 QRProof In quadrilateral BCAR, BR || CA and BC|| RASo, quadrilateral, BCAR is a parallelogram.BC = AR …(i)Now, in quadrilateral BCQA, BC || AQand AB||QCSo, quadrilateral BCQA is a parallelogram,BC = AQ …(ii)On adding Eqs. (i) and (ii), we get2 BC = AR+ AQ⇒ 2 BC = RQ⇒ BC = 1/2 QRNow, BEDF is a quadrilateral, in which ∠BED = ∠BFD = 90°∠FSE = 360° – (∠FDE + ∠BED + ∠BFD) = 360° – (60° + 90° + 90°)= 360°-240° =120°

37.

Students uto

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13/30 is the answer .total chances is 30 So probability is 13/30

Total students = 30Girls = 13So probability = 13/30.

thanks to all my friends for answering my question

38.

Find the area of the shaded region in the figure given below.548 cm

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If you like the solution, Please give it a 👍

39.

6 pieces of ribbon cost ,₹ 84. What is the price of 10 such ribbons?

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40.

An altitude of a triangle is five-thirds the length of itscorresponding base. If the altitude were increasedby 4cm and the base be decreased by 2cm, the areaof the triangle would remain the same. Find the baseand the altitude of the triangle.

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41.

17. An altitude of a triangle is five-thirds the length of its corresponding base. If the altitudeincreased by 4 cm and the base decreased by 2 cm, the area of the triangle remains thesame. Find the base and the altitude of the triangle.

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12cm is the correct answer

12 cm is the following question answer.

42.

|FUNCTIONSxisrational then Uto) is. xisirrational2)に4) {+x, xis irrational1-x. xis rationalx, x is rational1 + x, x is irrationalx,xisnational3) 1i1-x, xisirvrational

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when the value of x is rational

then, f(x) = x , f(f(x)) = x ...

when x is irrational..then , f(x) = 1-x , f(f(x))= 1-(f(x)) = 1-(1-x) = x...

so both the functions are same..

and rational and irrational makes up real set.

therefore option 1 is correct..

43.

24. The first term of an A.P. is 5, the last term is 45 and the sum of all its terms is 400. Find thenumberof terms and the common difference of the A.P.55 cmAlso construct a

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44.

For arithmetic progression, first term is -8 and last term is 55. If sum of all these terms is235, find the number of terms and common difference.(4)

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45.

Goodluck Page No.Dale09Express theate or withrational denominatorJO + 2O + V50 - 55 - 580(ii)UTO + STY NA Jis + Jes)

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46.

(UTO17. Find the greatest number which divides 1657 and 2037 leaving a remainder of 6 and 5respectively.1:00 ICTinAbadi

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47.

5. Find the magnitude, in radians and degrees, of the interior angle of a regular(i) pentagon (i) octagon (ii) heptagon (iv) duodecagon.11) Octagon

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48.

\frac{\sin B}{\sin C}=\frac{c-a \cos B}{b-a \cos C}

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Solution:

Given: ΔABC

Prove that sinb/sinc = c- acosb/b-acosc

Use cosine formulas:

cosb = (a²+c² - b²)/2ac and cosc = (a² - c² + b² )/ 2ab

RHS:

c- acosb/b-acosc = (c- a (a²+c² - b²)/2ac)/ (b - a (a² - c² + b² )/ 2ab)

= (b/c) × ((2c² - a² + c² - b²)/ (2b² - a² - b² +c²))

= (b/c) × ((c² - a² + b²)/ (b² - a² +c²))

= b/c ... (1)

Now, use the sine rule,

sina/a = sinb/b = sinc/c = i/k

So, a = asina, b = ksinb and c = ksinc

Substitute the value of b and c in equation (1).

b/c = ksinb / ksinc

= sinb / sinc

Hence proved.

49.

In a figure, cable anchored at R is attached to thovertical pole at S. What is the length in metresofRS:(a) 48(c) 243.(b) 58(d) 32348 m60°

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32√3

50.

55. The length of a rectangle isofits breadth. If its perimeter is548 cm, then what is its length?

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