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.

Solve.x = 4 is a root of x2-9x + k = 0, find the value of k afind the other root1) If

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if 4 is root of given equation then put value of x in the equation.4^2-9*4+k=0=>36-16=k=>k=20

2.

many times must a fair coin be tossed so that the probability of getting at least oneis more than 80% ?

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3.

494.so that weHow many times we must addget the answer 8?1) 18toSO2) 174) 14D

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Let it is added n times

(4/9)*n=8n=8*9/4

n=2*9=18

Option a is correct

4.

p ^ { 2 } + 3 p - 18

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5.

4 p %2B 6 > 18

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4p<18-64p<12p<12/4p<3

6.

four equal sized maximum circular plates are cut off from a square paper sheet ofarea 784 cm2. The circumference of each plate is:

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7.

To tossed a coin once what is the probabilityof getting head?

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8.

Vinod's QuestionMathematics 1 min3equal sized maximum circular plates are cut off from a square papersheet of area 1296 sq.cm. The circumference of each plate is:d. 40.36cc. 25.14 cm

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Since the area of square is 1296 cm^2so its side will be √1296=36 cmSince the area of circles is max2xdiameter will be equal to a sideSo 2(2r)=36So r=36/4 = 9cmthe circumference = 2πr=18π cm≈56.57 cm

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9.

Showthatthesquares anyofpositiveintegercan ibe6 q \cdot 6 q+1.6 q+3.6 q+4

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10.

2. नढुपधी 9) न 6x° + 20x% + 44x + 21 W pi-2)मेणवों..हलक दूर (बडा जज कक

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11.

What is the cube root of 1728?(1) 24 (2) -24 (3) 12 (4) 12

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Cube root of - 1728

Prime Factors of - 1728= - (2*2*2*2*2*2*3*3*3)

cuberoot(-1728)= {- (2)^6 × (3)^3}^1/3= - (2)^2×(3)= - 4*3= - 12

(4) is correct option

12.

Example 1. A couple has 2 children. Find the probability that both are boys, if it is lnown thaolder child is boy.

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13.

Area of a rectangular plot is 880 and its lengthis 44 m. Find its perimeter. Also, find the cost offencing it at the rate of per meter.

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14.

(2/√5+√3)+(1/√3+√2)-(2/√5-√2)

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(2/√5+√3) + (1/√3+√2) - (2/√5-√2)=2(√5-√3)/2 + (√3-√2) - 2(√5+√2)/3= √5 - √3 + √3 - √2 -2√5/3 -2√2/3=(√5 + √2)/3

15.

3x+44x - 11, then x-?(1) 5 (2) 8 (3) 6 (4) 2

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16.

which are filled completely. Hmd tdlafe7. 50 circular plates each of diameter 14 cm and thickness 0.5 cm are placed one abovethe other to form a right circular cylinder. Find its total surface area.s16 cm, are placed one above

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17.

25. A right circular cylinder is inscribed in a cone. Show that the curvedsurface area of the cylinder is maximum when the diameter of the cylinder[CBSE 2006Cis equal to the radius of the base of the cone

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18.

Find Square root of. (4)

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sqaure root of 4 is 4 = 2²so √4 = 2

2 is the square root of 4

square root of 4 is 22×2=4

square root of 4 is √4=2

19.

Answer the following duestions. [2 marks each.1. Tha length of a diagonal of square is 2 (6+25) cm. Then find its iength of side of squareed

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20.

11,How many times must a fair coin be tossed so that the probability of getting at least onehead is more than 80% ?

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21.

16x2n+1-4×2"24. Simplify. 16x2n,2-2×2"

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22.

p ^ { 2 } - 18 p + 32 \text { by } p - 16

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P-2is the correct answer of this questions

23.

ll.How many times must a fair coin be tossed so that the probability of getting at least onehead is more than 80% ?

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24.

What is the probability of getting head on throwing a coin?

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Suppose you have a fair coin: this means it has a50%chance of landing heads up and a50%chance of landing tails up. Suppose you flip it three times and these flips are independent. What is the probability that it lands heads up, then tails up, then heads up? So the answer is 1/8, or 12.5%.

25.

simplify? 24+{(6÷3-1)+5}÷3 OF (2-3×7)

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how does first line occures

26.

b) Factorise: (p-q)-6(p-4)-16

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27.

TPO/ VotWm/‘ " () AM}S frat Cn-0)[ 1 ०. (०५४०दर थ

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28.

EXERCISE 14.1.The ratio of the length and breadth of a rectangular field is 3:2, Ifthe area of the field is 3456 m2, find the cost of fencing the fieldat the rate of Rs 3.50 per meterArea of a square ABCD is 16 cm, then find tha

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29.

b (Vs Votबनाता है।या बत्त का समीकरण जात o o 0०2) को तथा बिंदु (9:30 से जाता है।ता बाहर या व

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30.

Answer the following duestions. [2 marks each].Tha length of a diagonal of square is 2 (6+2./5) cm. Then findis length of side of square.3 20244x 2112

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Diagonal of a square = √2a

So

√2(6+2√5) = √2a

a = 6+2√5

= 2(3+√5) cm

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31.

one is asked to say a two -digit number what is tha probability of it being a perfect square

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there are total 90 two digit numbers among them 6 are perfect squares so probability is 6/90 = 1/15

Tnzz

32.

4. Four equal sized maximum circular plates are cut off from a square paper sheet of area 784 cm?. Whatis the circumference of each plate?If tha outer circumference of the path is 88 cm and

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Side of square paper

=√784cm=28cm

Radius of each circular plate

=14×28cm=7cm

Circuference of each circular plate

=2×22/7×7

=44cm

33.

find the probability of throwing a sum of 9 with two dice

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Total number of outcomes =36For sum to be 9(6,3)(3,6)(4,5)(5,4)=4 outcomesHence probability will be4/36=1/9

34.

Find the probability of throwing a sum of 9 with two dice.

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Probability of throwing a sum of 9= excepted outcomes/total outcomes=4/36=1/9

35.

If two coins are tossed, find the probability of the following events.(1) Getting at least one head. (2) Getting no head.

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hence for atleast head =1-3/4=1/4

sir i want in solution

36.

the following (Any two):two coins are tossed, find the probability of the following eGetting at least one headGetting no head

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Probability = possible outcomes / total outcomes

All outcomes are (H, T), (T, H), (H, H), (T, T)

1) Probability of at least one head = 3/4

2) Probability of no head = 1/4

37.

find the probability of getting a factor of 4 on throwing a dice

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On throwing a die, a number which appears on the die, which is the factor of 4 is 4.Required probability=1/6

38.

Two dice are thrown simultaneously. What is the probability of getting asum of the number appearing on the dice is

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39.

32. Two dice are thrown simultaneously. Find the probability of gettingi. Same number on both dice.ii. A total of 10.

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Total number of possibilities is 36now to get same number only 6 possibilities(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)hence.probability will be 6/36=1/6Total of 10(4,6),(6,4),(5,5)Probability is 3/36=1/12

40.

Simplify\left(p-\left\{2 q-(6 p+q-4)+2 p^{2}\right\}-\left(p^{2}-2 q\right)\right]

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41.

(p-q)² -6(p-q)-16

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42.

1, log (216/6) का मान बराबर है।

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answer 7/2 hoga and solution uper wala hi sahi hai

use sinA/a=sinB/b=sinC/cuse these both side and get the proof ready.

Answer isx=3.

Explanation:

log6216=x∴log663=x∴3log66=x∴3⋅log6log6=x∴x=3. (answer

43.

x = 2 y + 6 \text { find value of find value of } x ^ { 3 } - 8 y ^ { 2 } - 36 x y - 216

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putting x value in eq. to be solved(2y+6)^3 -8y^2 -36 (2y+6)y -216=8y^3 -8y^2=8y^2 (y-1)

44.

A. At a constant temperature, volume of a gaswas found to be 400 cm at a pressure of760 mm Hg. If the pressure of the gas isincreased by 25%, find the new volume.

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45.

Two concentric circles of diameter 10 cm and 6 cm. The length of chordof the larger circle which touches the smaller circle is:

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46.

What is the circumference of a circle of diameter 10 cm (Take T-3.14)?

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Circumference of circle = pi × d

= 3.14 × 10 cm

= 31.4 cm

47.

the probability of getting one head if a coin is thrown twice.

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Total no of possibilities = 4

For two (random) coin tosses you have four possible combinations:

1. 1 toss and 1 head2. 1 head and 1 Toss 3. Both toss4. Both head

No of possibility that we get, one head = 3

So probability of getting one head = 3/4

48.

I.Find the probability of getting one head if a coin is thrown twice.

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Total no of possibilities = 4

For two (random) coin tosses you have four possible combinations:

1. 1 toss and 1 head2. 1 head and 1 Toss 3. Both toss4. Both head

No of possibility that we get, one head = 3

So probability of getting one head = 3/4

49.

Probability5. Find the probability of getting one head if a coin is thrown twice.

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total outcomes=4(hh)(tt)(ht)(th)required outcomes=2(ht)(th)probability=2/4=1/2

50.

\frac { 6 p + 1 } { 3 } + 1 = \frac { 7 p - 3 } { 2 }

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6p+1/3+1=7p-3/26p+1/4=7p-3/22(6p+1)=4(7p-3)12p+2=28p-12-28p+12p= -12-2-16p= -1416p=14p=14/16p=7/8p=0.875