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.

3 The cost price of 10 pencils is the selling price of 8 pencils. What is the profit percentage?

Answer»

CP OF 10 PENCILS=SP OF 8 PENCILSLET THE CP OF 1 PENCIL BE ₹1CP OF 10 PENCILS = ₹10SP OF 8 PENCILS = ₹10SP OF 1 PENCIL = ₹ 10/8 = ₹ 5/4SP>CPPROFIT = SP-CP= 5/4 -1= ₹1/4PROFIT % =PROFIT/CP×100= 1/4/1×100= 25%

2.

If the cost price of 10 pencils is equal to the selling price of 8 pencils , find gain or loss percentage.

Answer»

ok

3.

. Each of the two equal sides of a triangle is4 m less than three times the third side. Findthe dimensions of the triangle, if its perimeteris 55 m.

Answer»
4.

55. Weight of a cuboid made of metal is500 kg. If all its dimensions are made of20% of the dimensions of previous one,then what will be the weight of the newcuboid?

Answer»

Weight is directly proportional to volume when density is constant.In the both cases the density is same so weight is directly proportional to volume.VOLUME IS DIRECTLY PROPORTIONAL TO WEIGHT.

VOLUME OF CUBOID = L*B*HSo, W1/W2=V1/V2W1=500KGV1=L*B*HW2=?V2=(20% of L)*(20% of B)*(20% of H)V2=(20/100*L)*(20/100*B)*(20/100*H)V2=(1/125)(L*B*H)V2=(1/125)(V1)

W1/W2=V1/V2500/W2=V1/((1/125)*V1)500/W2=125W2=500/125=》 W2= 4KG

5.

Draw a line l. Take a point A outside the line. Through point A draw a lineparallel to line 1.

Answer»
6.

7. If 32 apples weigh 2 kg 800 g, how many apples will there be in a box, containing35 kg of apples ?

Answer»

for this find weight of one applehence2kg 800gm =2*1000gm+800gm=2000+800=2800gmhenceweight of one apple =2800/32=87.5gmno of apples in 35 kg will be =35*87.5=3062.5gm

7.

9. A man sold his bike for Rs. 15000at 35% profit. At what price will he| lose 10%? ।AmAH →ानी मोटरसाइकिल २६ ।

Answer»

So profit is of 35 percent that means135 percent =150001 percent will be 15000/135=111.1now 10 percent loss means 90 percent price soit will be111.11*90=10000

8.

Reflection is the process in which light strikes a surface and bounces off that surfaceThe reflected ray will bounce back directly to the light source if it in lined up with thea) incident ray(b) Reflected ray(c) Normal ray(d) reflecting surface

Answer»

normal ray is the answe

9.

If A's income be 25% less than B's. How much % would B's income be more than that of A?

Answer»

Let's say that B makes $100.

Then A makes $75.

This can be solved by setting up the proportion 100 / 75 = x / 100 75x = 10000 x = 133.3

So, B's income is 33.3% more than A's income.

10.

(0) UUTO(ii) A's income is 10% less than B's income. How much percentages Dmore than A's income?ome

Answer»

yegdugswghhjjjcsaehgfhnj

ysd1fDtrx3588995422 whawhai

The B's income is lower then A's income and the percentage difference is 25%

11.

By selling a wall clock for 368, I lose8%. What should be the selling price tgain 10%?

Answer»

SP = 368 LOSS = 8% CP = 368/0.92 = 400 PROFIT = 10% SP = 400*1.1 = 440

12.

.A painting 10 cm long and 5 cm wide, is to be pasted on a cardboard such that thereis a margin of 1.5 cm along each of its sides. Find the total area of the margin.

Answer»
13.

8. A circle of largest area is cut from arectangular piece of card-board withdimensions 55 cm and 42 cm. Find the ratiobetween the area of the circle cut and the areaof the remaining card-board.

Answer»
14.

A painting is made on a 15 cm long and 12 cm wide canvas keeping a margin of 1.5 cnmalong each side. Find the total area of the margin.

Answer»
15.

Prove that ACB, RC

Answer»

let x€ A THEN x€ Bsince B is subset of Cthen x belongs to Ctherefore A is subset of C since C is subset of Atherefore A=C

16.

Prove thatCl.abrc

Answer»

we know that

1 ) x^m / x^n = x^(m - n)

2 ) (x^m)^n = x^mn

3 ) x^0 = 1

4) x^m * x^n = x^(m+n)

Now, LHS=(x^a/x^b)^1/ab( x^b /x^c)^1/bc(x^c/x^a)^1/ca

= (x^a-b)^1/ab(x^b-c)^1/bc(x^c-a)^1/ca

= x^(a-b)/ab * x^(b-c)/bc * x^(c-a)/ca

= x^[(a-b)/ab + (b-c)/bc + (c-a)/ca]

= x^[c(a-b)/abc + a(b-c)/abc + b(c-a)/abc ]

= x^{ [c(a-b)+ a(b-c) + b(c-a) ]/abc }

= x^( ac - bc + ab - ac + bc - ab ] /abc

= x^0/abc

= x^0

= 1

= RHS

Hence proved

17.

Solve the following :13 marks each]129. A vendor gets a profit in percentage equal to the cost price of a flowerpot, whenhe sells it for 96. Find the cost of the flowerpot and the percentage of profit.10. Two pillars of equal height stand on either side of a road, which is 100m wideThe angles of elevation of the top of the pillars have measure 60 and 30 at a pointroad between the pillars. Find the position of the point from the nearestDend of a pillar and the height of pillars.the ne rcentaoe of ĆĄi rls in higher secondary science stream of

Answer»

crop the question which we have to answer as we cannot provide multiple answers.

18.

A shopkeeper will lose 10% by selling atable for 6525. He sells it for a higherprice and makes a profit of 10%. Findthe cost and selling prices.

Answer»

SP = 6525 LOSS = 10% CP = 6525/0.9 = 7250 PROFIT = 10% SP = 7250*1.1 = 7975

19.

7. A painting 40 cm long and 28 cm wide is painted on a cardboard such that there ismargin of 2 cm along each of its sides. Find the total area of the margin.

Answer»

Solution :-

Total length of the painting including the margin = 40 cm

Total width of the painting including the margin = 28 cm

Area of the painting including the margin = 40*28

Area of the painting including the margin = 1120 sq cm

Length of the painting without the margin = 40 - (2 + 2)

= 40 - 4

= 36 cm

Width of the painting without the margin = 28 - (2 + 2)

= 28 - 4

= 24 cm

Area of the painting without the margin = 36*24

Area of the painting without the margin = 864 sq cm

Area of the margin = Area of the painting including the margin - Area of the painting without the margin

⇒ 1120 - 864

= 256 sq cm

So, the total area of the margin is 256 sq cm

Thanks

20.

A picture is painted on a card board 50 cm long and 30 cm wide such that therea margin of 2.5 cm along each of its sides. Find the total area of the margin.

Answer»
21.

A painting 40 cm long and 28 cm wide is painted on a cardboard such that there is a margin of 2 cm along each of its sides. Find the total area of the margin.

Answer»
22.

Mark (V) against the correct answer in each of the following:1. Aman buys a book forra sand sells it for tirarlisgains isws (al 20%I b)25%(d) 125%

Answer»
23.

13.In fig. PA, OB and RCare each perpendicular to AC. Prove that+

Answer»
24.

2Which of the following function is the solution of differential equation\left(\frac{d y}{d x}\right)^{2}-\frac{x d y}{d x}+y=0\begin{array}{ll}{\text { (A) } y=2 x-4} & {\text { (B) } y=2 x^{2}-4} \\ {\text { (C) } y=2} & {\text { (D) } y=2 x}\end{array}

Answer»
25.

d'ydx2Ifx a (t sin t), y a (1 + cos t) find

Answer»
26.

d"y-in terms of y alone.dx2If y = cos-1 x, Find2

Answer»
27.

दे पर सर्वसमिकाएँ प्रयोग करके निम्नलिखित का गुणनखंडन कीजिए:हक 90 6y + ar-dy+1 ()mf/"' हि पक थी

Answer»

2

28.

6.if yexSinx, prove thatdx2ах

Answer»

Please hit the like button if this helped you

29.

A wrist-watch is available at a discount of 9%.If the list-price of the watch is 1,400. Findthe discount given and the selling price of thewatch.

Answer»
30.

dzydx210-A sin χcos χIf yA sin x + B cos x then prove that dy.dx2

Answer»
31.

Gita sold her watch to sita for 800 at al20%. The same watch was sold to GilShakti at 20% loss. What is the actual priwatch?INLU 26

Answer»

cp=100; let X 100/X; Sp=80 800 ; 80/800; 100/X=80/800=1/10; X=100×10=1000; actual price=1000,

32.

27 more, he would have gaineParvinder sold a watch at a loss of 5%. If he had sold that watch for7%. Find the cost price of the watch.

Answer»

Let the cost price be rs 100 if it is sold at a loss of 5%. Then , s.p.=(100-5)= rs 95 if it is sold at a sold at a profit of 2%. Then, s.p.= rs(100+7)=rs 107 increase in actual gain = rs(107_95)=rs 12. If gain is rs 12,then c.p.= rs100. If gain is rs 1,then c.p.=rs 100/12 if gain is rs 27,then c.p.=(100/12×27)=rs 225. Hence , the c.p. of watch is rs 225.

33.

A watchmaker bought an old watch for 420 and spent 85 on repairs. Ifhe sold the watch at a gain of 60, find the selling price of the watch.

Answer»

total CP=420+85=505Profit=60so SP=CP+Profit=505+60=565

34.

2. A besieieged town has provisions to last for 3 weeks. Its population is 22400. How many people musseat away in order that the provisions may last for 7 weeks?

Answer»
35.

In the adjoining figure, line BC ||line PQ // line MN, A-B-P-M,A-C-Q-N. Write all the pairs ofsimilar triangles with propercorrespondence of vertices.M

Answer»

TriangleABC, TriangleAPQ, TriangleAMN

36.

J13 13 tually perpendicular.how that the line through the points (1,-1,2), (3,4,-2) is perpendicular to theline through the points (0, 3, 2) and (3, 5, 6).how that the line throua

Answer»
37.

24 Find the equation of the plane pasing through the point (3.3,) andperpendicular to the line joining the points (3. 4, -1) and (2, -1, 5). Also findthe coordinates of foot of perpendicular, the equation of perpendicular lineand the perpendicular drawn from origin to the planeORFind the distance of the point (3, 4, 5) from the plane x ty+z 2measured parallel to the line 2x-y z.

Answer»
38.

2. Draw a line /. Draw a perpendicular to /at any point on L. On this perpendicular schoose a point X, 4 cm away from /. Through X, draw a line m parallel to l

Answer»
39.

5.What is degree and order of the differential equationx324+ x= 0dx2dx

Answer»
40.

Write the order and degree of thedifferential equationd2y

Answer»
41.

18. If y tan x, find in terms of y aloned2ydx2

Answer»
42.

Ify=√x + 1-√x-1, prove that (x2-1)d2y/dx2+xdy/dx-1/4y=0

Answer»
43.

daydx21.+54x+4y = 0

Answer»
44.

2To solveDifferential Equation,T=14.dx2

Answer»

I solved it using Laplace transform

45.

s if the length of a perpendicular drawn from the sorigin on a line is p and perpendicular is makingan angle a from the x axis. The equation of thisline is

Answer»
46.

ic pcng ghPand parallel to ABDraw <ABC of measure 60° such that AB = 4.5 cm and BC = 5 cm. Through C draw a lineparallel to AB and through B draw a line parallel to AC, intersecting each other at DMeasure BD and CD9,

Answer»
47.

BC.lle27. Find the equation of the straight line passing thr3x +2y+5 0 and perpendicular to the5r_6y-1 = 0 and 3x + 2y + 5 = 0 and perpendicular to the poinline 3xofy+

Answer»
48.

32 ingiven figure, O is centre of circle and DAB-50°, calculate the valueof x and y050

Answer»

Thanks

49.

4. (a) In the figure, AD is the diameter of the circle. If 2BCD130°calculate : (i)DAB (ii)ADB

Answer»
50.

1. Construct a line I, make a point A outside it and construct a line parallel to linelwhich passes through A. Can there be any other line parallel to line I which alsopasses through point A?

Answer»

No not possible as it will contradict playfair axiom.