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.

o/fi'fi- WM“QW मूल्य है 92 है.तथा 8_ और 16 रबर का मूल्य हट £ है. तब है, तबलि24 का मूल्य है. पचास

Answer»

We know that 8 pencils + 16 erasers are equal to 68 rupees

Now we will divide it by 4

And then 2 pencils + 4 erasers are equal to 17 rupees

Now we will find the cost of 3 pens

And for that we will use this formula

Cost of 3 pens + 17 is equal to 92 rupees

Cost of 3 pens is equal to 75 rupees

Cost of 1 pen is equal to 25 rupees

Now in order to find the price of 24 pens

25 x 24

= 600

So the final answer for this question is 600

2.

If $\tan \theta=\frac{3}{4},$ then $\cos ^{2} \theta-\sin ^{2} \theta=$(a) 7/25(b) 1(c) -7/25(d) 4/25

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3.

18 In the adjoining figure, CM and RN 'arerespectively the medians of ΔABC and ΔΙ'QR.If Δ/ABC ~ ΔΙΟ, prove that:CM ABRN PO(iii) aCMB ~ ΔRNQ.

Answer»

From the above the diagrams CM and RNare the medians for the triangles.

we know thatΔABC≈ΔPQR

AB/PQ = BC/QR = AC/PR ------------------------(1)fromΔAMC andΔPNR∠A =∠P∠M =∠N = 90AC = PRby ASA similarityΔAMC≈ΔPNR ----PROVEDfrom thisAC/PR = CM/RN = AM/PNFROM ------(1)AB/PQ = BC/QR = AC/PRfrom thatCM/RN = AB/PQ -----PROVEDfromΔBMC andΔQNR∠B =∠Q∠M =∠N = 90BC = RQby ASA similarityΔBMC≈ΔQNR ------PROVED

4.

(25/39)*((3/16)*(7*(3/7)))

Answer»

3 1/16 * 7 3/7 * 1 25/39

= 49/16 * 52/7 * 64/39

= 7/4 * 4/1 * 4/3

= 28/3

wrong

5.

35*56 %2B 56*65

Answer»

56×35+56×65=1960+3640=5600your answer is 5600.

5600 is right answer of this question

56*(35+65)=56*100=5600 answer

6.

btain all the zevosofs 131425

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7.

3Obbtain all other zeroes of 3x+6x22-10c-5, if two of its zeroes areand

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8.

obabilitys. Two dice are thrown simultaneously. Find the probability that:(i) 5 will not come up on either of item(ii) 5 will come up atleast one(iii) 5 will come up at both dice

Answer»

thanks

9.

\frac { 2 } { 5 } \times \frac { - 1 } { 9 } + \frac { 23 } { 180 } - \frac { 1 } { 9 } \times \frac { 3 } { 4 }

Answer»

-2/45+23/180-(1/12)0.044+0.127-0.083answer will be O

10.

8.Subtract the sum of 3794 and 1856 from the sum of 4946 and 5881

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3794+1856=56504946+5881=1082710827-5650=5177

11.

A die is thrown twice. What is the probability that 5 will not come up either time. 5 will come up at least once

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12.

A die is thrown twice. What is the prohability that () 5 will not come up either time (i) 5 will comeup at least once?

Answer»

dice will thrown twice so total 36 ppsaibilitynow probability of 5 will not comeso we have to eliminate (5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(1,5),(2,5),(3,5),(4,5),(6,5)so probability=25/36now 5 at least 1 time so probability=11/36

13.

6. A die is thrown twice. What is the probability tha) 5 will not come up either time?i) 5 will come up at least once ?

Answer»

Like if you find it useful

14.

gt ६७. ऋ७ 1®i = 0uUn ‘iz ‘Z_ + (८91 -6)प्य9 ¢» 5 oF !

Answer»

GivenSin(theta - 15) = 1/2

We know,Sin 30 = 1/2

theta - 15 = 30theta = 45°

Then,2 tan theta= 2 tan 45°= 2*1= 2

(D) is correct option

15.

2. Due to increase in salary of Ajit Singh by 12 % new salary become25760. Find his previous salary.

Answer»

x + 12x/100 = 25760

x = 25760*100/112

x = 23000

16.

7 - 18 %2B 56

Answer»

56-36÷4×2+7

56-(36/4)×2+7

56-(9)×2+7

56-18+7

63-18

45

According to thebodmas

56-36÷4×2+7

56-(36/4)×2+7

56-(9)×2+7

56-18+7

63-18

😊

45 ---( answer)

17.

\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+\frac{1}{90}+\frac{1}{110}

Answer»
18.

\frac 1 9 %2B \frac 1 6 %2B \frac 1 12 %2B \frac 1 20 %2B \frac 1 30 %2B \frac 1 42 %2B \frac 1 56 %2B \frac 1 72

Answer»

1/9 + 1/6 + 1/12 + 1/30 + 1/42+ 1/56 + 1/72

= 1/9 + 1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5 + 1/5 - 1/6 + 1/6 - 1/7 + 1/7 - 1/8 + 1/8 - 1/9

= 1/2 + (1/9-1/9) + (1/3 - 1/3) + (1/4 - 1/4) + (1/5 - 1/5) + (1/6 - 1/6) + (1/7 - 1/7) + (1/8 - 1/8)

= 1/2 + 0

= 1/2

19.

-56 %2B 3794

Answer»

3,79,456 is right answer

20.

जि ।B RN dxVax? _3x+ 5का मान ज्ञात कीजिए।

Answer»

If you find this solution helpful, Please give it a 👍

21.

( 1 ) \frac { \operatorname { cos } \theta } { \operatorname { sin } ( 90 ^ { \circ } + \theta ) } + \frac { \operatorname { sin } ( - \theta ) } { \operatorname { sin } ( 180 ^ { \circ } + \theta ) } - \frac { \operatorname { tan } ( 90 ^ { \circ } + \theta ) } { \operatorname { cot } \theta }

Answer»

thanks

22.

x^2 %2B 9*x %2B 18

Answer»

Ans x=-6 or-3 is the mathematical theory

x²+9x+18x²+6x+3x+18x(x+6)+3(x+6)(x+3)(x+6)is correct answer

(X+6)(X+3) the correct answer of the given question

23.

what is nonzero rational number

Answer»

any number which is in p/q form,here q is non zero number

24.

कि TV Rl eF RNउदाहरण 5. समान्तर श्रेढ़ी 17, 15, 13, ..... के कितने पदों का

Answer»

a = 17 d = -2 72 = n/2(2a+(n-1)d) 144 = n(34-2n+2) 144 = n(36-2n) 36n-2n*n-144 = 0 2n*n - 36n + 144 = 0 n*n - 18n + 72 = 0 (n-12)(n-6) = 0 n = 6 n= 12

25.

न TEN RN NN T9 समीकरण निकाय e+ y =5 -o130 3: +4/ > सुसंगत हैं, तो# बराबर है-

Answer»

From which book have you taken this question? Please tell us so that we can provide you faster answer.

26.

\begin{array}{l}{\text { If } a, b, c \text { are all nonzero and } a+b+c=0, \text { prove that }} \\ {\frac{a^{2}}{b c}+\frac{b^{2}}{c a}+\frac{c^{2}}{a b}=3}\end{array}

Answer»

when a+b+c=0=>a³+b³+c³=3abc (Identity)Dividing by abc on both sides

=> a²/bc + b²/ac + c²/ab=3

thanks

27.

है पाना2. धर कक. कक न हकदिव्य o’ जद “2डी हा quadiomds ot जा: whow he %&9\»‘"‘7&7 “०29 5 सर का RN

Answer»

i> 2nd quadrantii> 4th quadrant

the correct answer of given questions is as:a. 2nd quadrantb. 4th quadrant

28.

S SR s VTN RN TR5 यदि 6 कटोरियों का मूल्य ₹.90 है, तब ऐसी ही 10 कटोरियों का मूल्य क्या |SRR वन न

Answer»
29.

" g 3ही 1. जबधव पाड़ी : 27 + था + 2 - oxyz ः" n_\ RN ८. ',L R नि 2 5]3 <

Answer»

(3x)^3+(y)^3+(z)^3+3*(3x*y*z)-> (3x+y+z)³

30.

42, 2, 70 यांचा मसावि किती ?Liz

Answer»

42= 2*3*728= 2*2*770= 2*5*7HCF= 7*2= 14

31.

iz2x + 3y&85x -4y = 3

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32.

IZ+1ZSo panove thal the pointC1o

Answer»

it forms the general equation of circle

let z = x+iy , then z+1 = (x+1)+iy and z-1 = (x-1)+iy

so |z+1| = √[(x+1)²+y²] and |z-1| = √[(x-1)²+y²]

now squaring both sides..we get

(x+1)²+y² = 2*[(x-1)²-y²] = 2(x-1)²+2y²=> y²-2y² = 2x²+2-4x-x²-2x-1=> x²+y²-6x+1 = 0=> y² + x²-2*(x)*(3) +3³-3³ +1 = 0=> y² +(x-3)²-8 = 0so, y² +(x-3)² = 8... represents a circle.

Wrong and

Wrong answer

33.

215X > go T 4 90 iz

Answer»

1595 answer he is answer

1595 answer hai sahi wala

34.

Find bine national number betweenIz and A

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35.

\text {solve the following equation for } x : \frac { 3 x - 4 } { 7 } + \frac { 7 } { 3 x - 4 } = \frac { 5 } { 2 } ; x = \frac { 4 } { 3 }

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36.

( 5 x - 3 ) ( x + 4 ) - ( 2 x + 5 ) ( 3 x - 4 )

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37.

कि ]किक iz -+ Vazc oo rationel हा हक=2

Answer»

√16 + √225= 4+15= 19.

This is a rational number.

Please hit the like button if this helped you.

38.

8Find all nonzero complex nu. bers zsuch that z iz

Answer»
39.

0 ^ { \circ } \leq x \leq 90 ^ { \circ } \text { and } 1 + \tan ^ { 2 } x - 2 \tan x = 0 \text { then find value of } x

Answer»
40.

Write at least two questions to find the mean, giving suitable data

Answer»
41.

\operatorname { sin } ( A + B ) = 1 \text { and } \operatorname { cos } ( A - B ) = 1,0 ^ { \circ } \leq ( A + B ) \leq 90 ^ { \circ } \text { and } A > B

Answer»

Sin(a+b)=1 ——-[1].

Cos(a-b)=1———-[2]

From 1 &2

Sin(a+b)=cos (a-b)

Sin (a+b)= sin (90-a+b)

Sin gets cancelled on both sides

a+b=90-a+b

2a=90

a=45

since a and b are complementary to each other

a+ b=90

B=90-45=45

42.

- \sqrt { 3 } \text { and } \operatorname { tan } ( A - B ) = \frac { 1 } { \sqrt { 3 } } ; 0 < A + B \leq 90 ^ { \circ }

Answer»

a+b = 60 and

a-b = 30

Adding the two equations:

2a = 90;

therefore a =45 degrees and b = 15 degrees.

43.

uct a 2 × 3 matrix whose (i,jw element is given by\frac{\sqrt{3}}{2}|2 i-3 j| \quad(1 \leq i \leq 2,1 \leq j \leq 3)

Answer»
44.

%2B B ) = \sqrt 3 \text and \tan ( A - B ) = \frac 1 \sqrt 3 ; 0 ^ \circ < A %2B B \leq 90 ^ \circ ; A > B , \text find A \text and B

Answer»

tan(a+b)= tan 60tan(a-b)= tan 30nowA+B= 60---(1)A-B= 30-----(2)

adding both

2A= 90A= 45°and B= 15°

thank you

45.

\operatorname { sin } ( A - B ) = \frac { 1 } { 2 } \text { and } \operatorname { cos } ( A + B ) = \frac { 1 } { 2 } , 0 ^ { \circ } < A + B \leq 90 ^ { \circ } , A > B , \text { find } A \text { and } B

Answer»

A = 45 degrees and B = 15 degrees. as A-B = 30 and A+B = 60

46.

DatePageXIS---3-X → SX - ?

Answer»

x+5/6 - 3-x/2 = 5x-2/12; 6(x+5)-6(3-x)=5x-2; 6x+30-18+6x=5x-2; 12x+12=5x-2; 12x-5x=-2-12; 7x=-14; x=-14/7=-2

X= -2 the correct answer of the given question

X=-2 is correct answer

x=-2; the correct answer

35x^2+12x+1=0; =1/35(35x^2+12x+1)=0; 35x^2+12x+1=0; 35x^2+5x+7x+1=0; 7x(5x+1)+1( 5x+1)=0; =(7x+1)( 5x+1); x=-1/7; x=-1/5

47.

(ज༁) Sx%y-15x2

Answer»
48.

- 5 \leq \frac 2 - 3 x 4 \leq 9

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49.

10) =Sx+ y=-33x-8v=24

Answer»

please like my answer if you find it useful

50.

Mohan had Rs 100 with him. He went to the marketand purchased vegetables for Rs 68 How muchmoney is left with him now?

Answer»