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.

A container shaped like a right circular cylinder having diameter 12 crof icecream. This ice cream is to be filled into cones of height 12 cm and diameter 6 cm, havina hemispherical shape on the top. Find the number of such cones which can be filled with icecreamDelhi 2008

Answer»
2.

-E,] ,в-E1] and c-G1.find i) A-B, ii)C(B _3l13 2

Answer»

Please hit the like button if this helped you

3.

Find the volume of each of the cubes whose edges are :(i) 6.4 cm(ii) 1.3m(iii) 1 dm 6 cm.

Answer»
4.

Find the distance covered by the wheel of a bus in 2000 rotations if the diwheel is 98 cm.

Answer»
5.

- 4 x ^ { 2 } + 4 x y - y ^ { 2 } \quad ( g ) a ^ { 4 } - b ^ { 4 }

Answer»
6.

s. The diameter of a wheel is 98 cm. In how many revolutions will it cover a distance of 1540 m?

Answer»

Circumference of a wheel is πD=22/7*98=308cm^2=3.08m^2Hence no of revolutions will be 1540/3.08=500revolutions.

7.

Find the distance covered by the wheel of a bus in 2000 rotations if the diameter of thewheel is 98 cm.

Answer»
8.

Find the distance covered by the wheel of a car in 2000 rotations if the diameter of the wheelis 98 cm..

Answer»
9.

5.यदि sec १ + tan १ = 2+5 हो, तो sin १ + (0s १ का मान क्या(c)होगा?14. यदि(b) 5सर्वआ{।T

Answer»

I could be route5 because sin and cos value is equal to 1

10.

5. The diameter of a wheel is 98 cm. In how many revoluuurls will ll tobelaui6. If the difference between the circumference and diameter of a circle is 30 cm, then what is the radius ofthe circle?hos renrosented by bold lines

Answer»

Difference = circumference - diameter= 2πr-2r= 302r(π-1)= 30radius = 30/2(π-1)= 7.004cm

11.

If 20 icecream cones cost6880, find the cost of 7 icecream cones.

Answer»
12.

The marked price of a ceiling fan is Rs 1250 and the shopkeeper allows a discount of 6% on it. Find the selling price of the fan.

Answer»
13.

A cube of lead with edges measuring 6 cm eachis melted and formed into 27 equal cubes. Whatwill be the length of the edges of the new cubes?

Answer»
14.

4. A shopkeeper charged1,242 for a fan which includes 8% tax on it. Find the selling price (without tax) ofthe fan.

Answer»

let the original cost be xsox + 8% of x = 1242108x/100 = 1242 x = (1242 × 100)/ 108 = 1150so original cost is ₹ 1150

15.

ofaUlt.0s.m.FinditsAreaFindiameter.the cost of polishing the top of a circular table of diameter 4,22 per sq. m.m, if the rate of poishing is

Answer»
16.

ircle.18. Area ofa sector of central angle 200° of a circle is 770 cm2. Find the length of thecorresponding arc of this sector[NCERT EXEMPLARIrind the area swent by the minute hand

Answer»

Thank you mam

17.

If the radical axis Of the circles x2 + y2+2gx + 2fy+Cs]and 2x2 + 2y23x 8y 2c-0 touchesthe cirdlex2 + y2 + 2x + 2y + 1-0,then(a) g andf 2(b) g andf 244(c) gorf 2(d) of these4

Answer»
18.

A straight rod of length 9 units slides with its ends. A and B always on the x axis and y axisrespectively, then the locus of the centroid of AOAB is(a) x y 3(b) xy9(c) x'y'(d) x2 + y281

Answer»
19.

Two and a half litre of paint is used to cover 725 sq m of area.How much area in sq m can be covered by 4.75 litre opaint?

Answer»
20.

8. Two and a half litres of paint is used to cover 725 mpaint the area of 2001 m??area. How many litres of paint will be

Answer»

322m2 is the answer of the question

322 meter square is right answer Like my answer

322 m sq is the best answer.

322 meter is the answer

21.

plastic box 1.5 m long, 1.25 m wide and 65 cm deep is to be made. It ie top. Ignoring the thickness of the plastic sheet, determine:

Answer»
22.

lastic box 1.5 m long, 1.25 m wide and 65 cm deep is to be made. It is to be opetop. Ignoring the thickness of the plastic sheet, determine:

Answer»
23.

56.Two peoples of equal heights are standing opposite each other on either side ofthe road, which is 90mwide. From a point between them on the road, the anglesof elevation of the top of the poles are 60 and 30°, respectively. Find the heightof the poles and the distances of the point from the poles.

Answer»

Let AB and CD be the two poles of equal height and their heights beH m. BC be the 80 m wide road. P be any point on the road. Let CPbe x m, therefore BP = (80 – x) .Also, ∠APB = 60° and ∠DPC = 30°

In right angled triangle DCP,Tan 30° = CD/CP⇒ h/x = 1/√3⇒ h = x/√3 ---------- (1)

In right angled triangle ABP,Tan 60° = AB/AP⇒ h/(80 – x) = √3⇒ h = √3(80 – x)⇒ x/√3 = √3(80 – x)⇒ x = 3(80 – x)⇒ x = 240 – 3x⇒ x + 3x = 240⇒ 4x = 240⇒ x = 60Height of the pole, h = x/√3 = 60/√3 = 20√3.Thus, position of the point P is 60 m from C and height of each pole is 20√3 m.please like the solution 👍 ✔️

24.

3. What is the discount rate given on a shirtfor which the selling price is 546 anddiscount is 104 on the marked price?

Answer»
25.

Find the rate of discount being given on a ceiling fan whose selling price is1,175 after allowing a discount of 75 on its marked price.

Answer»

6% is correct answer

6% is the correct answer

6℅ is the answer of the question

6 percentis correct answer

6% is the right answer

6%is the correct answer

26.

2.Name the groups of all possible parallel edges of the box whose figure is she

Answer»
27.

Find the rate of discount being given on a ceiling fan whose selling price1,175 after allowinga discount of75 on its marked price.irh is snld at8,400 after

Answer»
28.

1. The area of a square is 576 cm, then its perimeter is(a) 96 cm(b) 98 cm(c) 100 cm

Answer»
29.

СЕEXERCISE 13.1tic box 1.5 m long, 1.25 m wide and 63 cm deep is to be made. It is opened atA paơn oring the thickness of the plastic sheet, determine.The area of the sheet required for making the box.o ms

Answer»
30.

A plastic box1.5 m long, 1.25 m wide and 65 cm deep is to be made. It is opened at theng the thickness of the plastic sheet, determine:IgnoriThe area of the sheet required for making the boxtop.B

Answer»
31.

1. A hammer exerts a force of 1.5 N on each of thetwo nails A and B. The area of cross section of tipof nail A is 2 mm2 while that of nail B is 6 mm2Calculate pressure on each nail in pascal.

Answer»

On A,force = 1.5 Narea = 2 mm^21 mm = 1/1000 m = 0.001m1 mm^2 = 1 mm*1mm = 0.001 m * 0.001 m = 0.000001 m^2 = 10^-6 m^2

P = 1.5N/ (2*10^-6) m^2 = 7.5*10^5 Paon B,P = 1.5N/(6*10^-6) m^2 = 2.5*10^5 Pa

32.

7.W 20 negative integers and 20 positive integersne temperature of a certain place fell by 2°C la change of -2°C) each day for a week. What is thechange of temperature over the whole week

Answer»

14 degree Celsius because 2*7=14

33.

nueo poles ot equal beigts are ston-iegCppcsfte to each ather on fther Side ofn pont onecod to top ol poles are eo andhe poles

Answer»
34.

The price of a sweater was slashed from 660 to t 516 by a shopkeeper in the winter season. Find the ratediscount given by him.

Answer»
35.

I. A brother and a sister are 1.64 m and 98 cm tall respectively. What is the difference betweentheir heights in metres and in centimetres separately? What type of diet should you take toincrease your height?ak of winter season was recorded as 10.67 cm, 11.34 cm

Answer»

Brother height = 1.64mSister height =.98mDifference between their heights = 1.64-.98= 0.66To increase height, person should take balanced diet including a lot of green vegetables.

36.

distance beyween the pair for pont (2,3),(4,1)

Answer»

thank you broo

37.

The locus of the point of intersection of the lines --aA) a circle B) an ellipse C)bm, -+-=-a b ma hyperbolaD)a parabola

Answer»

the answer could be option b

38.

0H UTCHIpse Whose foci is ($3,0) and which pass through the point (4,1)On a level plain, the crack of the rifle and the thud of the ball striking the targetare heard at the same instant. Prove that the locus of the bearer is a hyperbola.Prove that the equation of the nornhol. 1

Answer»

Suppose A to be the target and B to be the firing point and let the hearer be at a point P. If V1and V2be the velocity of the sound and bullet respectively, then the time taken by the bullet in reaching from B to the target A = BA/v2and the time taken by the sound in reaching from A to P = AP/v1.

Again the time taken by the sound in reaching from B to P = BP/v1.

As by hypothesis the sound reaches the hearer at P, simultaneously, the time taken by the sound to reach upto the position P from then target together with the time taken by the bullet to reach the target must be same as the time taken by the sound in reaching from the rifle upto P.

Hence BA/v2+ AP/v1= BP/v1

⇒BA/v2= BP/v1– AP/v1= 1/v1(BP – AP)

⇒BP – AP = v1/v2AB

As v1, v2and AB are constants, hence

BP –AP = Constant

Therefore the locus of the point P is the hyperbola having foci at A and B and transverse axis equal to v1/v2AB

39.

(i) x: a =y: b = 2:0907, 21314 Pont 29,+49 + 2 = (x+y+z),c2 (a + b + c)2'1262

Answer»

I have proved the relationship below.

x/a + y/b + z/c=d; x=da;, y=db; z=dc;____________________(1); x^2/ a^2+y2/b^× + z^2/c^2=( da)^2/a^2 + (mb)^2/ b^2+( mc)^2/c^2= m^2a^3/a^2+ m^3b^3/ b^2+ m^3c^3/ b^2= m^3a+m^3b+ m^3c=m^3(a+b+c)_______(2); ( x+y+z)^3/(a+b+c)^2=( da+dm+dc)^3/(a+b+c)2 = d^3( a+b+c)^3/( a+b+c)^2==m^3(a+b+c)____(3)

40.

). ABC is a triangle and G (4, 3) is the centroid of the triangle. If A, B and C are the pont(4, b) and (a, 1) respectively, find the values of a and b. Also find the length of side BC.A, B and C3

Answer»
41.

EXERCISE 13.1213m long, 1.25 m wide and 65 cm deep isto be made Itis opened athecothickness of the plastic sheet, determine:plastng thetop. Ignoringearea of the shee, requited for making the boxcost of sheet for it, if a sheet measuring lm

Answer»
42.

Thediameters of a circle of area 154 square units. Theequation of the circle is [IIT 1989; AIEEE 2003; Keral(a) x2 +y2 2y 62 (b) x2 +ys_ 2x + 2y 47(C) x2+y2 + 2x-2y 47 (d) x2+y2-2x + 2y-Đą214.lines2x-3y = 5and3x-4y = 7arethe+ 2x -

Answer»
43.

PART-AA 2m long bar of uniform section 50 mm2 extends 2mm under a limiting axialstress of 200N/mm2 What is the modulus of resilience for the barDraw the BMD for a simply sunnorted ha)

Answer»
44.

Only 80% of the 1,250 students of a school werepresent on Tuesday. How many students cameto school on that day?

Answer»
45.

Rais father's age is 5 years more than three times Raju's age. Find Raju's age, if his father is 44vears old

Answer»

Let Raju's age be x. 3x + 5 = 44 3x = 39 x = 13

let raju's age be x 3x + 5 = 44 3x=44-53x=39x=39/3x=13

X = 13 is correct answer

46.

find the area lying in the first quadrant and bounded by circle x²+ y²=4,and lines X=0 and X=2

Answer»
47.

Find the area of the region bounded by the curve yx 4 and the x-axis.and the lines x - 1,

Answer»
48.

The diameter of a rollef15 m long)s 84 cm. If it takes 100 revolutions to la playground, find the cost or teveling this ground at the rate of 50 paissquare meter

Answer»
49.

of all lle UTIu9.The diameter of a garden roller is 1.4 m and itis 2 m long. Find the maximum area coveredby it in 50 revolutions?2A cvlindrical pillars.

Answer»

Radius of a garden roller (r) = 1.4 / 2 = 0.7 m

and length of the garden roller (h) = 2 m

∴Curved surface area of garden roller = 2πrh .

So, the area levelled of a garden roller in one revolution is 8.8 m2.

Now, area levelled of a garden in 50 revolutions = 8.8 x 5= 440m2

50.

If (x2 + 3x – 2) = v ok, then find x.

Answer»