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.

Q.4.Find the sum:-a) 71.15, 1.306, 77.702(bot 6.032, 8.45, 16.020

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a) 150.158b)30. 102

questions no a= answer 150.158 and b=answer is 30.502

71.15+ 1.306+ 77.702____________ 150.158

6.032+ 8.45+ 16.02___________ 30.502

2.

ABCD is a trapezium in which AB I DC, BD is a diagonal and E is the mid-poiline is drawn through E parallel to AB intersecting BC at F (see Fig. 8.30).is the mid-point of BC

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3.

e given fig. AB || CD, find x.13590°

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4.

axis, T)oint on the x-axis, which is equidistant from the poi(, aku(3,4tn he slope of a line, which passes through the origin, and the mid-point of the5 ine segment joining the points P (O, -4) and B (8.0)

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5.

ABC, L is the mid point of BC and Mis the mid point of AL(C) In A ABCMintersects AC at N, LP | BN.Prove that: AN= =w

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Through D,Draw DK||BN.In triangleADK, M is the mid-point of ADand MN||DK.Therefore, N is the mid-point of AK.Hence, AN=NK.............(i)In triangleBCN,D is the mid-point ofBCand BN||DK.Therefore,K is the mid-point of NC.Hence, KC=NK.............(ii)From (i) and (ii),AN=NK=KC..............(iii)Now, AC=AN+NK+KCAC=AN+AN+ANAC=3ANtherefore, AN=1/3AC.

6.

ll she used 1,2 g o mgredients, now mucn ol each Item did She use?3 Jagan and Ravi share720 in the ratio 7:5 respectively. How much did each get?

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Hello

ye ATQ

kya hai

according to question,ATQ

but how

as given both have total 720 rupee so we just add the ratio

7.

Ravi took a loan of Rs.12000 at 12% p.a.Find the amount to be paid by Ravi after3years at S.L.?1) Rs.16,230 2) Rs.14,3203) Rs.16,3204)

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Rs 12000+[(12000*12*3)/100]Rs12000+432000/100Rs 12000+4320Rs 163203) rs 16320 is the right answer

8.

Fill the kox i the numb ertde oumIoside bot you car choorCP

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9.

2. Find the values of k for which the roots are real and equal in each of the followingequations:(i) kor? + 4x + 1 = 0(ii) kox? - 2/5x + 4 = 0

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10.

\left. \begin{array} { l } { 3 x - y = - 2 } \\ { 3 x + 4 y = - 17 } \end{array} \right.

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the answer is wrong

11.

\begin{array} { l } { 3 x + 2 y = 4 } \\ { 2 x - 3 y = 7 } \end{array}

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12.

Give the classical definition of probability and point out its limitations.

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Ifnis the number of equally likely, mutually exclusive and exhaustive outcomes of a random experiment out of whichmoutcomes are favorable to the occurrence of an event A, then the probability that A occurs, denoted by P(A), is given by :

P(A) =Number of outcomes favorable to A/Number of exhaustive outcomes= m/n

13.

9.Find the sum of first 8 multiples of 3.hich P(4 m divides the line segment joining the poi

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14.

in fig., AB POI CD, AB = x units. CD =y units and PQ = z units. Prove that

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15.

ct=a+b221 D, E and F are the mid poiABC. Find the ratio of a

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X/a + y/b = a+b

⇒y/b = a + b - x/a .................. i

x/a² + y/b² = 2 ................ii

⇒x/a² + y/b x1/b = 2

⇒x/a² + a+b/b- x/ab= 2 puttting i

⇒x(b-a)/a²b = (b-a)/b

⇒x = a²

so x = a²

using ii we get

y = b²

so x=a² and y=b²ANSWER

16.

the line and y-ais7,Find the distance between the lines 3x + 6 = 0 and x-7 = 0.AD is (AIf the co-ordinates of poi

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3x+6=03x=-6x=-6/3=-2x-7=0x=7 The distance between(-2,0) and (7,0)=

√(x1-x2)^2+(y1-y2)^2=√(-2-7)^2+(0)^2=√(-9)^2=√81=9units

17.

1If the distance between the points (4.k) and (1,0) is 5, then what can be the Ipossible values of k?

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Distance is 5 (4-1)(4-1) + (k-0)(k-0) = 5*5 3*3 + k*k = 25 k*k = 25 - 9 = 16 by taking square root k = -4,4

If you find this answer helpful then like it.

18.

\left. \begin{array} { l } { 3 x ^ { 2 } - 9 x - 5 } \\ { b \text { of } 2 x + y = 3 } \end{array} \right.

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55. 2x+y = 3

19.

\begin{array} { l } { 3 x - 4 y + 7 = 0 } \\ { k x + 3 y - 5 = 0 } \end{array}

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is it kx??? or 12 x please verify it I did it assuming it as a 12 xI did it with the help of elimination methodI tried to make the cofficient of x same in both the equation so I multiplied with 4 x= 4.719

20.

as much soil as the5. Ravi used 1 bags of soil for his garden. He is digging another garden that will needoriginal. How much soil will he use in total?

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21.

\left. \begin{array} { l } { - 7 x ^ { 3 } + 3 x ^ { 2 } + 11 x - 9 \text { for } x = - 2 } \\ { 4 y ^ { 2 } - 3 y + 8 \text { for } y = - 3 } \\ { 14 x ^ { 2 } y + 3 x y ^ { 2 } + 2 x y - 5 \text { for } x = 1 \text { and } y = ? } \end{array} \right.

Answer»

the value of a) when x = -2 , -7(-2)³+3(-2)²+11(-2)-9 = +56+12-22-9 = 37b) when y =-3, 4(-3)²-3(-3)+8 = 36+9+8 = 53.c) when x = 1 and y = 2 14(1)²(2)+3(1)(2)²+2(1)(2)-5 = 28+12+4-5 = 39

22.

\left. \begin array l 3 x %2B 4 y = 11 \\ 5 x - 2 y = 1 \end array \right.

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23.

\left. \begin{array} { l } { \text { The coefficient of } x ^ { 2 } \text { in } ( x - 13 ) ( x + 11 ) ( x - 9 ) \text { is } } \\ { ( x ) - 11 } \end{array} \right.

Answer»

a) is correct option

thank you

24.

x \text { if } ( \frac { s } { 11 } ) ^ { - 5 } \times ( \frac { 8 } { 11 } ) ^ { x } = ( \frac { 8 } { 11 } ) ^ { - 2 }

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25.

\frac { ( x + 1 ) ( x + 2 ) } { ( x + 11 ) ( x - 2 ) } = 1

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26.

Prove that l 1x11=(x+2) (x-1)2

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27.

\frac { 4 x ^ { 2 } - 11 x + 7 } { x - 1 }

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28.

((3/5)^3*(1/7)^3)/(((3/5)^2*(1/7)^4))

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4.2 is the correct answer

21/5 is the right answer

21/5 is the right answer

29.

For each of the differential equations in Exercises from 11 to 15, find the pasolution satisfying the given condition:11.(x + y) dv +(x-y) dr = 0; y = 1 when x = 1

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30.

\left. \begin{array} { l } { \text { Factors of } x ^ { 3 } - 6 x ^ { 2 } + 11 x - 6 \text { is } } \\ { ( A ) ( x - 1 ) ( x + 2 ) ( x - 3 ) } \\ { ( C ) ( x + 1 ) ( x + 2 ) ( x + 3 ) } \end{array} \right.

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31.

(d) Find a unit vector perpendicular to both thevectors a = 47-1 +3k and

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32.

le 1. Find the transpose of each of the following matricesΓ-1 51 -1(ii) V3 5 62 3 -1

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33.

1. (i) State the order and the type of the followingmatrices :1 2 31-25 o(b)

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a --- 2×3b --- 4×1 it is the correct answer of this question

a) order 2×3b)order 4×1,row matrix

a_2×3b_4×1it is the right answer of this question

a,2×3b,4×1is the right answer of question

order of matrix a is 2*3order of matrix b is 4*1

a, 2(rows)*3(columns)b, 4(rows)*1(column)

34.

Find the matrix of co-factors for thefollowing matrices.1 3 74 -1

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35.

(1)With reference to the given figure, write the union set of ray PQ and ray QR.

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hii sanket i am vaibhav Divekar i have aso download this app

36.

6.7.Find 0.11 x 1.31111From the figure write the name of: -(a) All triangles so formed.(b) The three angles of AAED

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6 triangles are there

6 is the correct answer of the given question i.

6 is the correct answer of the following question

37.

|41/3) 42(4) 38दो अंकों की अभाज्य संख्याएँ जिनके दोनों अंक भी| अभाज्य संख्याएँ हैं, की संख्या है।(1) 3(3) 6(4) 82.002x15+0.04705+0.02295 को सरल करनेर प्राप्त होता है।) 30.037(2) 30.730| 30.073(4) 30.1* प्रथम 10 गुणजों का योग है।

Answer»

2.002×15+0.04705+0.02295 = 30.1 ha

24+[6-{5-2(4-3)}](1)22(2)23(3)24(4)27

24+[6-{5-2(4-3)}] उतर(1).22. (2) (23) ( 3) (24) (4) 27

38.

State and prove inclusion and exclusionprinciple.

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39.

3). अवयव सिद्धांताचा उपयोग करून (४ - 2) हा »' - 42 - 4 चा अवयव आहे की नाहीते ठरवा.

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40.

3. Find the adjoint of the following matrices1-1 -2 37[2] (42-4 -5 25

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41.

In figure write all pairs of adjacent angles and all the linear pairs.

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Adjacent angles are

AOD and DOC , DOC and COB

while linear pairs are only 2.

angle. AOD and DOB and , angle AOC and COB.

42.

8. Using Identity find the value of 97103

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97 x 103=(100-3)(100+3) ; (a-b)(a+b)=(a^2-b^2); a=100; b=3; (100)^2-(3)^2=10000-9=999

97×103(100-3)(100+3)(100)^2-(3)^210000-99901

sorry 9991is answerthat is right

(100-3)×(100+3) after it the answer will be 9991

97×103(100-3)(100+3)(a-b)(a+b)=a^2-b^2(100)^2-(3)^210000-9=9991

43.

suitable identityFind Value using(a) 95x105

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200 is a correct answer

(100-5)(100+5)=100×100-5×510000-25=9975

44.

3 Using identity, find the value of (2x + 3)2

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Identity used ( a + b)² = a² + b² + 2ab

So, ( 2x + 3)²

= 4x² + 9 + 12x

45.

Solve the following simultaneou(1) 3 42 4

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46.

Find all possible pairs of integers that give a product of -50

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5 is correct answer ........

5 is a correct answer,,......

5 is the best answer.

5is the correct answer of the following question.

-5×10-10×5..is the possible pair

-5 and 10-10and 5...is right pair

5 is the answer............

47.

Give an example of product of two irrational numbers is rational

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48.

y systematic method\frac{20 x}{7}=60

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(20x)/7 = 6020x = 60×7x = (60×7)/20x = 3 × 7 x = 21

49.

1. Using appropriate properties find.2 3 5 3 1+Ñ…256

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2 is the correct answer

50.

Sum of the present ages of Mälisli ald Us 31. Manish's age 3 years ago was 4 tinghe age of Savita. Find their present ages.4n:

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Let, the age of manish =xAge of savita = y____,

x+y = 31 ---1equation ______

3 years ago, Manish's age = (x-3) yearsSavita's age = (y-3) years ___________According to the given information,

(x-3) =4(y-3)

x-3 =4y -12

x =4y -12 +3

x = 4y -9

Putting the value of x in equation 1,

x +y =314y -9 +y =315y =31+9

5y =40

y =40/5y =8

Putting the value of y in 1equation,

x+y =31x +8=31

x =31-8x =23 Age of manish =x =23 years

Age of savita =y =8 years