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.

If nCa--. nC5, find the value of n.18

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2.

x3 -23 x+142 x-120

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Is this a complete question?

bhai ye he find zeros of polynomials

3.

: x ^ { 3 } - 23 x ^ { 2 } + 142 x - 120

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4.

x ^ { 3 } - 23 x ^ { 2 } + 142 x - 120

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5.

दा [ find ~he. Riidane belien A(8,2> B(13,—¢)Pk e - जील =4 o =S Ay SR B(13—6)

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6.

3A, e e ‘w‘-‘m.mS .2 orthg fl:flfié W s (9

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5x - 2--------- = 9 2

5x - 2 = 18

5x = 20

x = 4

7.

& ABCDia a rectangle in which disgonal ACbinects A as well as C. Show thatABCD is a square ) diagonal BDbinecta B as well as D

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8.

If x=-2/3, then 9x^2-3x-11 isequal to(A)-13(B) 13(C)-5(D)-17

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9.

Ans.(b)then value oa Ais(a) 13(b)-13(c) 14(d) of these

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10.

State the addition rule of probability for two events.

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Ans :- Theaddition rule statestheprobabilityoftwo eventsis thesumof theprobabilitythat either will happen minus theprobabilitythatbothwill happen.

11.

pth term of the series23-33.. will be

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12.

107. Two events A and B are such thatP(not B) = 0-8, P(AUB) = 0.5 andP(AB) = 0.4. Then P(A) is equal to

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13.

iDivide f(x) by g(x) & verify that the remainderfx)·x, 4x. 3x . 10, g(x)-x + 4.

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14.

A and B are two events such thatP(A)s 0.3 and P(A u B)-0.8. If Aand B are independent thenP(B) is:

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15.

Q06: Divide x - 4x? + 8x + 7x + 10 by (x-2) and verify the division algorithm.

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16.

16. The cost of 6 notebooks is 270. Find the cost of 15 notebooks.

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Cost of 6 notebooks=₹270Cost of 1 notebook=₹270÷6=45

therefore cost of 15 notebooks=15×45=675Therefore cost of 15 notebooks is ₹675

17.

ISwered, make any corr.can simplify the following problem.142 9059Answer:

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18.

16. The cost of 6 notebooks is 270. Find the cost of 15 notebooks

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19.

If the C.P. of 10 notebooks is equal to the S.P. of8 notebooks, find the gain or loss per cent ?

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10 cp = 8 sp

ratio of cp : sp

cp : sp

8 : 10

4 : 5

% gain = (5-4)/4×100= 1/4 × 100= 25 %

20.

n = pol, pα2 pork, where n is anatural number and P1 P Pk aredistinct primes, then log n is:(A) S log 252(B)log(C) klog 2(D) s k log2

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t

thank you

21.

The sum of n terms of the series\begin{array}{l}{\log a+\log \frac{a^{2}}{b}+\log \frac{a^{3}}{b^{2}}+\ldots \text { is }} \\ {\text { (A) } n \log \left(\frac{a}{b}\right)} \\ {\text { (B) } n \log (a b)} \\ {\text { (C) } \frac{n^{2}}{2} \log \frac{a}{b}+\frac{n}{2} \log (a b)} \\ {\text { (D) } \frac{n^{2}}{2} \log \frac{a}{b}-\frac{n}{2} \log (a b)}\end{array}

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22.

\begin{array}{c}{2 P(A)=3 P(B)=5 P(A \cap B)} \\ {P(A \cup B) \quad(2) \quad P(A / B)}\end{array}

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P(A)=0.5/2=0.25P(B)=0.5/3=0.17P(A INTERSECTION B)=0.5/5=0.1P(A U B)=0.25+0.17-0.1=0.32P(A|B)=P(A)/P(A INTERSECTION B) =0.25/0.32=25/32

loda koto javab che chodina

23.

14. If A and B are two events such that A c B and P(B)0, then which of thefollowing is correct?P (B)P(A)(A)P(A | B) =(B) P(AlB) < P(A)(D) of these

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24.

2P(B), P(B)s ?

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P(B) = 2/3

P(B) + P(B') = 1

P(B') = 1 - 2/3 = 1/3

P(B') = 1/3

thanks

25.

Find the sum to n terms of the series \log a+\log \left(a^{2} / b\right)+\log \left(a^{3} / b^{2}\right)+\log \left(a^{4} / b^{3}\right)+\ldots \ldots \text { to } n

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26.

navneet.com-Page No.:Date:115X (-25] X (-4X (-10)

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BhI 15000 is correct answer according to your question

the correct answer will be -15000

-15000 is the correct answer.

-15000 is the correct answer of this question

15 *(-25)*(-4)*(-10)=-15000 is correct answer.

15000 is the right answer

-15000 is the best ans

-15000 is the correct answer

-15000 is the correct answer

15000 is the correct answer

-15000 is the best answer

15× (-25)×(-4)×(-10) =-15000

-15000 is the right answer according to your question

- 15,000 is a correct answer

15 × (-25) × (-4) × (-10) = (-15000) so is the correct answer.

27.

2Evaluate P(Au-B), if 2P(A)P(B)--and P(A/B)-13

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28.

\operatorname { log } ( n - 2 ) = 2

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assuming base is 10 solog (n-2) = 2log (n-2) = log 10²comparing we getn-2 = 10²n = 100+2n = 102

29.

9059PageStudent Notebooksd.Findthe value of3.2 geometrically

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30.

36. Two trains are moving inthe opposite direction atSpeed of 45 km/hr and 30km/hr respectively,whose lengths are 450mand 550m respectively.What is the time taken(in seconds) by slowertrain to cross the fastertrain?

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I think we multiply45×30and divide

coming from opposite relative speed = 45+30=75km/hto cross each other total distance= 450+550=1000m75000mt goes in 3600 sec1 Mt goes in 3600/75000 sec1000 mt goes in = 1000×3600/75000=48 sec

48 seconds is the correct answer

10 second s per km to the train

31.

The distance between two points M andN is 5 units. If the ordered pair of M is(3, 1) and N lies in the y-axis, what is theordered pair of N ?23.(B) (04(D) (0 5)

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32.

The distance between two points M andN is 5 units. If the ordered pair of M is(3, 1) and N lies in the y-axis, what is theordered pair of N ?23.

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33.

log(m + n)log m + log n, then which one of the following is true?m(B) =1(m-1)(C) m + n=0

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34.

\left. \begin{array} { l } { \text { If } n = ( 2017 ) ! , \text { then what is } } \\ { \frac { 1 } { \operatorname { log } _ { 2 } n } + \frac { 1 } { \operatorname { log } _ { 3 } n } + \frac { 1 } { \operatorname { log } _ { 4 } n } + \ldots + \frac { 1 } { \operatorname { log } _ { 2017 } n } } \end{array} \right.

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n = (2017)!

use the identity loga[b] = logb/loga

so, log2[n] = logn/log2 and 1/log2[n] = 1/(logn/log2)=> 1/log2[n] = log2/logn

similarly for all other terms 1/log3[n] = log3/logn1/log4[n] = log4/logn

now adding all we will get , denominator as same in all as logn

on adding= (log2+log3+log4 +......+log2017)/(logn)= log(2×3×4×....2017)/log(n)= log(2017!)/logn= logn/logn = 1

35.

\operatorname { log } ( m + n ) = \operatorname { log } m + \operatorname { log } n , \text { show that } n = \frac { m } { m - 1 }

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Log(m+n)= logm+ logn

log(m+n) = log(mn). [ loga+logb =log ab]

log on both sides geys cancelthen,

m+n = mn => m= mn -n=> m = n(m-1)=> n = m/m-1 [proved]

36.

Define ordered pair in short

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A pair of numbers used to locate a point on a coordinate plane is called an ordered pair. An ordered pair is written in the form (x, y) where x is the x-coordinate and y is the y-coordinate.

37.

Sumoi n terms of the series V2 + 18+ V18 + 132 + ...isn(n+1)(a)b) 2n(n+1)M(N+1)(d) 12

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38.

Thesumofnterms of series is 3n^2+ 4n. .Then the series is(a) A.P.(b)G.P.(c) H.P.(d) A.G.S.

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Sn = 3 n² + 4 nTn = Sn - S_n-1 = 3 n² + 4 n - 3 (n-1)² - 4 (n-1) = 6 n + 1

d = Tn - T_n-1 = 6 n + 1 - 6(n-1) - 1 = 6Since d = 6 = constant, The sequence is an AP

thank u

39.

\operatorname { log } 2 , \operatorname { log } ( 2 ^ { n } - 1 ) \text { and } \operatorname { log } ( 2 ^ { n } + 3 ) \text { are in } A P , \text { then } n =

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40.

log /m + 2 log n9,41, find the value ofm n

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41.

Find the distance between following ordered pair (-5,7),(-1,3)

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thanks sir

42.

Q11. Two pillars of equal height stand on either side of a roadway 150m wide.From a point on the roadway between the pillar, the angles of elevation of the topof the pillars are 60°and 30°. Find the height of pillars and the position of thepoint.

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Let the height of the equal pillars be AB = CD = h

Given, width of the road is 150 m

Let BE = x, the DE = 150 - x

In right angle triangle ABE,

tan 60 = h/x

=> √3 = h/x

=> h = √3x ............1

In right angle triangle CDE,

tan 30 = h/(150 - x)

=> 1/√3 = h/(150 - x)

=> √3h = 150 - x

=> √3h = 150 - h/√3 {from equation 1}

=> √3h + h/√3 = 150

=> (3h + h)/√3 = 150

=> 4h = 150√3

=> h = 150√3/4

=> h = 37.5√3 m

So, the height of the equal pillers is 37.5√3 m

43.

Find the distance between the following ordered pair (-5,7),(-1,3)

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44.

Q11. Two pillars of equal height stand on either side of a roadway 150m wideFrom a point on the roadway between the pillar, the angles of elevation of the topof the pillars are 60°and 30°. Find the height of pillars and the position of thepoint.

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45.

LSDivide 16 into two parts such that twice the square of the longer part exceed the square of thesmaller part by 164

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46.

cloud above the lĂĽkeQl1. Two pillars of equal height stand on either side of a roadway 150m wide.From a point on the roadway between the pillar, the angles of elevation of the topof the pillars are 60 and 30. Find the height of pillars and the position of thepoint.a lighthouse are 45

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Let the height of the equal pillars be AB = CD = h

Given, width of the road is 150 m

Let BE = x, the DE = 150 - x

In right angle triangle ABE,

tan 60 = h/x

=> √3 = h/x

=> h = √3x ............1

In right angle triangle CDE,

tan 30 = h/(150 - x)

=> 1/√3 = h/(150 - x)

=> √3h = 150 - x

=> √3h = 150 - h/√3 {from equation 1}

=> √3h + h/√3 = 150

=> (3h + h)/√3 = 150

=> 4h = 150√3

=> h = 150√3/4

=> h = 37.5√3 m

So, the height of the equal pillers is 37.5√3 m

47.

I5Divide 16 into two parts such that twice the square of the longer part exceed the square of thesmaller part by 164.

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48.

0. Two pillars of equal height stand on either side of a road, which is 100m wide.The angles of elevation of the top of the pillars have measure 60 and 30 at a pointon the road between the pillars. Find the position of the point from the nearestend of a pillar and the height of pillars.l. The table below gives the percentage of girls in higher secondary science stream

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49.

logxlogy l0gZ, then thelogzvalue of x y z2 is

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50.

0.6 A temple has 25 cylindrical pillars. The radius of each pillar is28 cm and height 4 m. Calculate the total cost of painting the curvedsurface area of the pillars at the rate of 12/m2.

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nahi aaya