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.

(i) 300 rupees (11)laved deposited 12000 rupees at 9 p.c.p.a. in a bank for some years, and withdrew hiinterest every year. At the end of the period, he had received altogether 17,400 rupeeFor how many years had he deposited his money?

Answer»

Amount which is received by Javed is Rs. 17400 and he invested Rs. 12000 at 9% per annum.

Interest he received is 17400 - 12000 = Rs. 5400

Using formula

Pnr = 5400

12000× n× 9/100 = 5400

n = 5 years

2.

hen prove thet Jano v23-COS 2 8tan p

Answer»
3.

intersect each other at O. If LPOT = 75°, find thevalues of a, b and c4b[Board Term L, 2016, Set-JQ22L5C]

Answer»
4.

Evaluate :() 7PDyoue thet 10p

Answer»

7P4=7×6×5×4=42×20=840

5.

. Prove thet Stinc cosotSelco - tano

Answer»
6.

23Given Acompute A-1 and show that 2A-1 91-A.-4 7

Answer»
7.

. Kabir invested a sum of r 12,000 at 5% per annum at compound interest. Heafter n years. Find the value of r1 interest of & 410 in 2 years

Answer»

Formula to find the amount in case of compound interest: A= P * {1+ (r/100)}^n; where A is the amount, P is principal,r is rate,n is the number of years.

Putting these values in the formula: 13230 = 12000 * {1 + (5/20)}^n=> 13230/12000 = (105/100)^n Simplifying the equation, we get: 441/400 = (21/20)^n(21/20)^2 = (21/20)^nTherefore, n=2

Number of years = 2

8.

(2) Find the quadratic equation whose roots are the reciprocals of the rootsof + 4x - 10 = 0.et c.&B be the

Answer»

x=-5, x=-1 is the best answer

x^2+4x-10=0as per shridhar acharyax= -b+-√b^2-4ac/2ahere a= 1, b= 4, c= -10x= -4+-√(4)^2-4×1(-10)/2×1 = -4+-√16+40/2 = -4+-√56/2 = -4+-2√14/2 = 2(√14-2)/2= +-(√14-2)roots are (√14-2) & (2-√14)reciprocal of root =1/√14-2 & 1/2-√14sum of root= 1/√14-2 + -(1/√14+2)= √14+2-√14+2/(√14)^2-(2)^2=4/14-4=4/10=2/5product of root= (1/√14+2){-(1/√14+2)=-{1/(√14)^2-(2)^2= -1/14-4= -1/10eq=x^2-x(sum of root)+(product of root)=0x^2-x{2/5)+(-1/10)=010x^2-4x-1=0

X=-5. X=1 is the answer of this question

9.

22. In the adjoining figure, OPQR is a square. A circle oxdrawn with centre O cuts the square in X and Y. YProve that QX QY.

Answer»
10.

A = \left( \begin{array} { c c c } { 1 } & { 2 } & { 2 } \\ { 2 } & { 1 } & { 2 } \\ { 2 } & { 2 } & { 1 } \end{array} \right) , \text { show thal } 1 ^ { 2 } - 4 \Lambda

Answer»
11.

Prove that 7 \log 16 / 15+5 \log \frac{25}{24}+3 \log \frac{81}{80} = log 2

Answer»
12.

*29. Show thal1 4 7then prove that (A + B)= A' + BIfA=1258]4 21

Answer»
13.

find -ha leaf no twhich must be achsd to leaskgisqvare. find tls sq root o4 thal ra

Answer»

thus 489 to be added to 100000 to make it a perfect square

14.

If α, β are roots of the equation x2 + 5x + 5 0, thenwrite on quadratic equation whose roots are α + 1 and

Answer»
15.

G hetween them is 18 cm. Find the length of each of the parallel sides.r than the other by 6 cm, find the two parallel sides.sides ishe area of a trapezium is 180 cm2 and its height is 9 em. If one of theongn. If one of the parallelea the nther. If the area of the

Answer»
16.

The equation x2 + 4x + 3=0 has roots α and β. Findthe equation whose roots are (1 + α/β ) and (1+β/α)

Answer»
17.

(i)J(sinx + cos x) dx

Answer»

thanks

sin2x/2+cos2x hota hai

18.

4. In each of the following assumethat the base is 10. Prove(i) log()+10g(j)+loger log()-loge,-0.(ii) log360 3log2 2log3 + log5(iii)log ( 5) = log2-2log5-10g3-210g7.(iv) logi I 0) log(100)ナ10g( 1 000) + log( 10000) 10.(v) 510g3-log9-log27.

Answer»

please like my answer if you find it useful

19.

F Gnza . (ena=zCnat®ieaSive. . नस_&S_a_l__‘[ (o a I l ‘[fl na

Answer»

Please like the solution 👍 ✔️👍

20.

18. If log 2 0-3010, and log 3 0 4771, find the value of() log 6 () log 24 (i) log 5

Answer»

part 3

log 5

??

21.

tay44If ω is imaginary cube root ofunity, then sin! (ω 13 +ω 20)π +-t is equal to

Answer»

thnks

22.

\frac { 3 x } { 4 } = 21 - 3

Answer»

3x/4 = 183x= 18*4x= 72/3=24

23.

EXAMPLE 12 The diagonals of a parallelogram ABCD intersect at O A line through Ointersects AB at Xand DC at Y. Prove thal OX - OY

Answer»
24.

7. If β is perpendicular to both a and where α kand y 2i + 3j + 4k, then what is ß equal to?(a) 3i 2j (b)-3i +2j ( 21-3 (d)-21 +3

Answer»
25.

-6x+21=-3

Answer»

-6x + 21 = -3-6x = -3 -21-6x = -24x = (-24)/(-6)x = 4

26.

0.04 0.080.08-0.120.12-0.160.16-0.200.20-0.2499240.90.20 7 20,1 니9. Find the coordinates of the centroid of a triangle whose vertices are (x,y(ち,与).

Answer»
27.

21/3

Answer»

21/3 =7. hoga because 21 ko 3 se devide karenge to 7 aayega

28.

| यदि 0 इकाई का काल्पनिक मूल है तो निम्नलिखित का मान निकालें ।[If o is an imaginary cube root of unity, then evaluate the follow[Hint: I+0+0=0]| - 0टिनाला ओटी में है जो तिलिवित का मान निकाले ।।

Answer»

| 1 w w² || w w² 1 || w² 1 w |

R(1) --> R(1) + R(2) + R(3)

| 1+ w+ w² 1+ w+ w² 1+ w+ w²| | w w² 1 || w² 1 w

| 0 0 0|| w w² 1 || w² 1 w |

So, 0 is answer

29.

x ^ { 3 } - 9 x ^ { 2 } + 23 x - 15 = 0 \text { whose roots are in } A.P.

Answer»
30.

. If sinx cOS Xcos x is equal to

Answer»
31.

45. Evaluate:log 8x log90) log 27

Answer»

Please hit the like button if this helped you

32.

ea n

Answer»

x1^3+4x1-80=0compare it with ax^2+bx+c=0so D=root(b^2-4ac)=root(16+320)=root(336)= 4*root(21)x1=(-b+root(D))/2a=(-4+4root(21))/2=-2+2*root(21)orx1=(-b-root(D))/2a=(-4-4root(21))/2=-2-2*root(21)

33.

5. Evaluate : log 27.

Answer»

Answer is 6Use property of logRoot 3 can be written as 3 power 1/2 and 27 can be written as 3 power 3Use property u will get the answer

34.

andmintheena-thand also itsea

Answer»

Area= 1/2 x diagonal 1x diagonal 2= 1/2*16*12= 12*8= 96cm^2

AREA=d1×d216×12×1/28×12=96 it's area

35.

i chin ea

Answer»

An integer (pronounced IN-tuh-jer) is a whole number (not a fractional number) that can be positive, negative, or zero.

Examples of integers are: -5, 1, 5, 8, 97, and 3,043.

Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, .09, and 5,643.1.

The set of integers, denoted Z, is formally defined as follows:

Z = {..., -3, -2, -1, 0, 1, 2, 3, ...}

In mathematical equations, unknown or unspecified integers are represented by lowercase, italicized letters from the "late middle" of the alphabet. The most common are p, q, r, and s

36.

। ताह11% 20 1 0D L kb

Answer»

उत्तर : वाहन चलाते समय आपातकालीन स्थिति में प्रतिक्रिया करने से रुकने तक की दूरी "रुकने की दूरी" कहलाती है।

37.

Convert ea3/8

Answer»

0.375 is the answer of 3/8

3/8 = 0.375

38.

cos ω(x-pcos o)xcos ω + ysin ωp(sino + cosh,orsin ωorxcos (o + y sin ωp.Hence, the equation of the line having normal distance p from the origin and anglewhich the normal makes with the positive direction of x-axis is given byExample (i1) Find the equation of the line whose perpendicular distance from theorigin is 4 units and the angle which the normal makes with positive direction ofx-axiis 150Solution Here, we are given p 4 andω-50 (Fig 10.18).cos 150 V3 +1

Answer»
39.

If o is an imaginary cube root of unity, then (1+w-)?equals-[2002]

Answer»
40.

Evaluate:tan 35°cot 55°cot 55ta3Sec 40tan 35°tan 35cosec 50。220

Answer»
41.

) Evaluate :/а.xdx-х

Answer»
42.

10. Evaluate ſxcos xdx.

Answer»

Plzz like my ans🙏🙏

43.

2 tan A8. Given: sec A= 29 , evaluate Asia1, evaluate Asin A-tan Acosec A

Answer»
44.

Evaluate log xdx

Answer»
45.

correctlyest form:4/5 x 3/7

Answer»

4/5 * 3/7

= 4*3/5*7

= 12/35

Aap hum ko apna whatsapp numbers dijiay please

46.

PoyawkolpollaD-SHT=Kb+kqD-2=19+kb

Answer»
47.

1gb=?kb

Answer»

the answer of your question is 1gb=1000kb

48.

1. Find the value of (-1)2002 (-1)2003x

Answer»

this is ringm

49.

Solve $ \sin 2 x-\sin 4 x+\sin 6 x=0 $

Answer»
50.

tan(theta)^2 %2B cot(theta)^2 %2B 2=sec(theta*(cosec^2*theta))^2

Answer»