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.

、 47-4760 4084-05 tens +4 ones

Answer»

47-47 = 0

60-40 = 20

84-0 = 84

5 tens + 4 ones = 54

2.

3) 3Diy 9

Answer»

9(sec^2-tan^2)=9(1)=9

3.

32. If f: RR is defined by)then fof(2) is given by2291029355

Answer»

thank you

4.

\int_{0}^{\frac{\pi}{4}} \frac{\sin x+\cos x}{9+16 \sin 2 x} d x

Answer»
5.

0, 10S

Answer»

n=7

6.

BL(Hint: Compare AAPB and AAU9. In the adjacent figure AABC, D is the midpoint of BcDEI AB. DFLAC and DE=DE Show that ABED=annosite side, prove that

Answer»
7.

3000 is lent out at 9% rate of interest. Find the interest which will be recievedat the end of 2/2 years.

Answer»

675rupees is correct and perfect answer

p = 3000r = 9 %t = 2 1/2 yearssi = p*r*t/100I = 3000*9*1/100*2= 135

135 *5 = 675 is answer of questions

as time =2.5 years principal = 3000 rate = 9%so interest= p×r×t/100 = 3000×2.5×9/100 =675ruppies

8.

Anil borrows 8000 at 6% and * 5000 at5% from Madan. How much interest will hepay after 4 years?

Answer»

INTEREST= 8000x6x4/100=RS. 1920

INTERST 2= 5000x5x4/100= RS. 1000

total interest= rs. 2920

9.

n ^ { 2 } x - 7 \operatorname { sin } x \operatorname { cos } x + 16 \operatorname { cos } ^ { 2 } x = 4

Answer»
10.

. Iof (d+bhr廴2b(a +cir+ (b4d)=0 are real and equal then a, b, e are in) A.P3. The equa2) Н.Р.3)G.Р.interval4) A.G.P1) (0, 2T

Answer»

If the roots of the equation ( a2 + b2 ) x2 - 2 ( ac + bd ) x + ( c2 + d2 ) =0 are equal prove that a/ b = c/ d . here 2 denotes square

( a² + b²)x² -2( ab + cd)x +( c² + d²) = 0

roots are equal so, D = b² -4ac =0

{2(ab + cd)}² -4(a² +b²)(c² + d²) =0

4(ab+ cd)² -4(a² + b²)(c²+ d²) =0

( a²b²+c²d² +2abcd ) -a²c²-a²d²-b²d² -b²c² =0

-a²c² -b²d² + 2abcd =0

-( a²c² + b²d² -2abcd) =0

{(ac-bd)²} =0

ac -bd =0

ac = bd

a/b = d/c

similar ques, might help!

By this result how can we say that a, b, c are in ap or gp or hp or agp

And u don't solve that question which I have posted

11.

sin x sin 2x sin 3x

Answer»

1

2

3

12.

ABC and BDE are two equilateral triangles and D is themid-point of BC. The ratio of areas of the triangles ABCand BDE is

Answer»

thank you so much

13.

ABC and BDE are two equilateral triangles such that D is the mid-point of BC. Ratioofthe areas of triangles ABC and BDE is8.

Answer»
14.

16. The arithmetic mean of a series of 20 items wasピcalculated as 20. While calculating it, an item 13was measured as 30. The correct arithmetic mean1S

Answer»

Total of these values = mean x number of items = 20 x 20 = 400.Now 13 was taken as 30, so the sum is 17 in excess.Actual sum = 400 - 17 = 383Mean = 383/20 = 19.15

15.

AP में a = 7,413 = 35 तो d और S13 ज्ञात कीजिए।

Answer»

S13 = 7 + (13-1)d = 7 + 12d =13;; 12d = 13-7=6, d = 6/12=1/2;

16.

Triangles ABC and DEF are similar. If AC = 19 cmand DF = 8 cm, the ratio of the area of twotriangles are :

Answer»
17.

3. Shotw mlit into four triangles of equal llea.In Fig. 9.24, ABC and ABD are two triangles onthe same base AB. If line- segment CD is bisectedby AB at O, show that ar(ABC)- ar (ABD).

Answer»

thnx

18.

C=9.1 cm anrimeter of △ABC.uer otthe adjoining figure, ABCD i。apezium in which CDI| ABagonals intersect at O. If A0 5x-7con,(2x+1) cm, g (7x-5) cm and7x +1) cm, find the value of

Answer»

I think is not correct.

please define clear ly

19.

3.Show tnatl tit into four triangles of equlIn Fig. 9.24, ABC and ABD are two triangles onthe same base AB. If line- segment CD is bisectedby AB at O, show that ar(ABC)-ar (ABD).4.

Answer»
20.

In the adjacent figure ∆ABC and ∆DBC are twotriangles such that AB= BD and AC= CDShow that ∆ABC~ ∆DBC

Answer»

in triangleAB = BD (given)AC= CD(given)BC= BC (comman)hence these two triangles are congruent

Given AB=BD AC=CD BC=CB comman side than both triangle are congrent ∆ABC CONGRANT ∆DBC

21.

the pair of angles which are equal and7. When a transversal intersects a pair of parallel lines, name the pair of anglesthe pairs which are supplementary.

Answer»

If two parallel lines are cut by a transversal, the corresponding angles are congruent. If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel. Interior Angles on the Same Side of the Transversal: The name is a description of the "location" of the these angles.

22.

2.Find the principal value of:mos" (co325) + sin sin ?=)

Answer»
23.

If 35 kg of rice cost ₹1505, find the cost of 1 quintal of rice.

Answer»
24.

Madan Lal receives a certain amount of money on his retirement from his employer. He gives half ofthis money and an additional sum of 10,000 to his daughter. He also gives one-third of the moneyrecieved and an additional sum of R 3000 to his son. If the daughter gets twice as much as the son, findthe amount of money Madan Lal recieved on his retirement13.

Answer»

thus received amount is 24000 rs

25.

EXERCISE 7.1Find an anti derivative (or integra) of the following functions by the method of inspection.1. sin 2x2. cos 3.x5 sin 2x-44. (ax + b)

Answer»

don't knowggyuyfrygcxseuihfsstjvvhjvfyuh

ans1 : -1/2*cos2xans2: 1/3 *sin3xans3: 1/2* e^2xans4: 1/3a* (ax+b)³ans5: -1/2*cos2x - 1/12*e^3x

26.

t/4sin X coS X16 + 9 sin 2xdx0

Answer»

Like my answer if you find it useful!

27.

29 If the mid point of the line segment joining the points (3,4) and (k, 7) lies on the straight line 2x+ 2y+ 1-0then the value of k is -a) 15. b)-15, c) 5, d) 10.

Answer»
28.

Round off the following numbers to the nearest ten:(a) 29(b) 47(e) 295(1) 764(g) 2152(i) 78257(0) 92135(k) 72581(d) 134(h) 1546(1) 87964

Answer»

answer is very easy but revise it and then do you or yourself

1)30 2)50 3)100. 4)130. 5)300. 6) 760. 7)2150. 8)1550. 9)78260 10)92140. 11)72580. 12)87960

3050💯1303007602150155078260921407258087960

answer is a. 30b. 50c. 100d. 130e. 300f. 760g. 2150h. 11550i. 78260j.92140K. 72580l. 87960

29.

lf 35 kg of rice cost 1505, find the cost of 1 quintal of rice.

Answer»

thanks for answer

30.

12. Write the first six terms of each of followingsequences:an-1i) a7lora, = 4, an +1 = 2nan

Answer»

given a1 = 4. And a(n+1) = 2naⁿ

so, a2 = 2*2*a1 = 4*4 = 16

a3 = 2*3*a2 = 96a4 = 2*4*96 = 768a5 = 2*5*768 = 7680a6= 2*6*7680 = 92160

31.

if 35 kg of rice cost ₹1505,find the cost of 1 quintal of rice.

Answer»

1 quintal means 100 kgHence 100 kg price =(1505×100)%35=4300

32.

If the arithmetic mean of 7, 9, 11, 13, x, 2l is 13, findthe value of x.7.

Answer»
33.

a=7, a_{13}=35, \text { find } d \text { and } D_{13}

Answer»
34.

3. A solid wooden toy is in the shape of a right circular cone mounted on a hemisphera lturadius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 om, find evolume of the wooden toy.

Answer»
35.

A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. If the radius of thehemisphere is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of wooden toy12.

Answer»
36.

A conical tent is 10 m high and the radius of its base is 24 m. Find) slant height of the tent.(i) cost of the canvas required to make the tent, if the cost of I m' canvas is Rs 70,

Answer»
37.

A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. Ifthe radius of the hemisphere is 4.2 cm. and the total height of the toy is 10.2 cm, find thevolume of the wooden toy9.

Answer»
38.

IS In aparallelogram, show that the angle bisector of two adjacent angles intersect tright angles

Answer»
39.

Two adjacent angles of a parallelogram are equal. What is the measure of each ofthese angles?2.

Answer»

Let the angles be x,x.

Adjacent angles of a parallelogram = 180;

So, x + x = 180;

2x = 180;

x = 90.

40.

Q.19. a) Find the complementary angle of 79

Answer»

The sum of complementary angles is 90°.x+79=90x=11°

41.

du uIconসেমিনারে ইকুক।Original Dple দ্বারা Ver]id, M.P.EdERHow many z5 notescan be exchangedfor a 50 rode?ISO15%DCife S1,000/->007--50% al89,50%,STITE* PE58. Purulia /# সুম সor Inআবশ্যকতা নেই।কম অতিরিক্ত টাকা ও*af 80 nol. non attending

Answer»

no of note = 50/5=1010 note of rs 5 will exchange for rs50

the right answer is 10 notes

the right answer is 10 notes

divide 50 by 2 you get 10it means u can exchange 10 notesanswer 10 notes

50/5=10 notes can be exchanged

10 notes of 5Rs is right answer

10 notes of 5 rupees is right answer

10 notes of 5$ make 50$

42.

complementaryangle of the following angles(b) 65°(a) 42°(c) 39°

Answer»

(a) 90 - 42 = 48°

(b) 90 - 65 = 25°

(c) 90 - 39 = 51°

43.

(C) 113) Measure of complementary angle of 32° is

Answer»
44.

argies f the quadiiatola. The two adjacent angles of a quadrilateral are 80° and 120The other two angles are equal. Find them.

Answer»

Sum of all angles is 360Two angles are 80 and 120other two angles are equal (let x)x+x+80+120=3602x=360-(120+80)2x=360-2002x=160x=80

45.

19. The radii of the circles are given. Find their diameters.(a) 8 cm (b) 10 cm (c) 15 cm (d) 9 dm102,.

Answer»

(a) 16 cm(b) 20 cm(c) 30 cm(d) 18 dm(e) 4 m

a.16cmb.20 cmc.30 cmd.18dme.4m

46.

aual. Find 137. Two adjacent angles of a paralelogram are eqall the angles of the parallelogram.

Answer»
47.

कक om0 2D 6ANSWERS

Answer»

Like my answer if you find it useful!

48.

C.P of 35 Kg Rice is 1505 Find C.P Of 1 Kg Rice.

Answer»

CP of 35 kg rice = Rs 1505

=> CP of 1 kg rice = Rs 1505/35 =Rs 43

Thus, 1kg rice costs 43 rupees.

49.

Two adjacent angles of a parallelogram have equal measure. Find themeasure of each of the angles of the parallelogram6.

Answer»

Let the angles be x,x,y,y as opposite angles of a parallelogram are equalHence given that two adjacent angles are equalhence X=yThis means all angles are equal Hence For this each angle would measure 360/4=90°

50.

the price of one kg rice is rs 70 find cost of 10 kg rice

Answer»

1kg= RS 7010kg = ?

10×70= RS 700

cost of 10kg rice is RS 700.