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3i Infotech Placement Papers - 3i Infotech Interview Questions - Jul 28, 2022

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3i Infotech Placement Papers - 3i Infotech Interview Questions

Q1. Express A Speed Of 36 Kmph In Meters Per Second ?

36 * 5/18 = 10 mps

Q2. A Boy Has Nine Trousers And 12 Shirts. In How Many Different Ways Can He Select A Trouser And A Shirt?

The boy can pick out one trouser in 9 methods.

The boy can choose one blouse in 12 approaches.

The wide variety of ways wherein he can pick one trouser and one shirt is nine * 12 = 108 approaches.

Q3. The Number Of Permutations Of The Letters Of The Word 'mesmerise' Is_.

N gadgets of which p are alike of 1 type, q alike of the opposite, r alike of every other kind and the final are wonderful may be arranged in a row in n!/p!Q!R! Ways.

The letter pattern 'MESMERISE' includes 10 letters of which there are 2M's, 3E's, 2S's and 1I and 1R.

Number of arrangements = 9!/(2!)2 3!

Q4. Twice The Speed Of A Boat Downstream Is Equal To Thrice The Speed Upstream. The Ratio Of Its Speed In Still Water To The Speed Of Current Is

Let the boat speed in still water be b.

Let the circulate speed be x.

2(b+ x) = three(b-x)

5x=b

b/x=five/1

Q5. The Difference Between The Simple Interest And Compound Interest On A Certain Sum Of Money For 2 Years At 15% P. A. Is Rs. Four

Since we understand that the interest charge is zero.15, and understanding that the distinction between  years of compound interest is not anything but hobby on interest, we can discover the first 12 months’s interest as –

45/zero.15 = 300.

Now if the hobby is 300 at the give up of twelve months, then the principal is three hundred / zero.15 = 2,000

Q6. In Order To Obtain An Income Of Rs. 650 From 10% Stock At Rs. Ninety six, One Must Make An Investment Of

To acquire Rs. 10, funding = Rs. 96.

To gain Rs. 650, funding = Rs.96/10x 650 = Rs. 6240.

Q7. India Plays Two Matches Each With West Indies And Australia. In Any Match The Probabilities Of India Getting Points 0, 1, 2 Are 0.Forty five, 0.05 And 0.50 Respectively. Assuming That Outcomes Are Independent

Getting 7 points is possible in 2 instances.

Case 1: India wins all four suits.

Probability: (.Five)4 = .0625.

Case 2: India wins any of the three fits and attracts the remaining suit. This can show up in overall four ways. Probability: four x (.50)three x (.05) = .0.5.

So, required possibility: .0625 + .1/2 = .0875

Q8. Express 25 Mps In Kmph?

25 * 18/5 = ninety kmph

Q9. Using All The Letters Of The Word "nokia", How Many Words Can Be Formed, Which Begin With N And End With A ?

There are 5 letters in the given phrase.

Consider 5 blanks .

The first clean and closing blank ought to be full of N and A all of the final 3 blanks can be full of the last three letters in 3! Approaches.

The quantity of phrases = 3! = 6.

Q10. A Person Has A Chemical Of Rs. 25 Per Litre. In What Ratio Should Water Be Mixed With That Chemical So That After Selling The Mixture At Rs. 20/litre He May Get A Profit Of 25% ?

This can be solved the usage of alligation.

What is needed at the end of blending is a price of 20/1.25 = sixteen.

So the alligation could appear like this –

Water/zero Mixture/sixteen Chemical/25

Hence the ratio would be (25 – sixteen) : sixteen = nine : sixteen

Hence required ratio of Water : Chemical is 9:16.

Q11. A Bottle Is Full Of Dettol. One-1/3 Of It Is Taken Out And Then An Equal Amount Of Water Is Poured Into The Bottle To Fill It. This Operation Is Done Four Times. Find The Final Ratio Of Dettol And W

As in denominator we must take 1/three four instances so, we start via assuming 81 ml of dettol within the bottle. After the primary new release you'll be left with

2/three × 81 = 54 ml. After the second iteration you'll be left with

2/three × fifty four = 36 ml. After the 0.33 iteration you'll be left with

2/three × 36 = 24 ml. After the fourth generation you may be left with

2/three × 24 = 16 ml. So the specified ratio can be sixteen : (81 – sixteen) = 16 : sixty five

Q12. How Many Terms Are There In An A.P. Whose First And Fifth Terms Are -14 And 2, Respectively, And The Sum Of Terms Is 40 ?

Now the commonplace distinction of this AP is sixteen/four = four.

The sum of an AP is n/2 2a + (n – 1)d

Substituting we get, forty = n/2 2×-14 + (n – 1)4

The best way to solve this is by means of plugging alternatives. Put in n = 10 and get the RHS as 40.

Q13. The Number Of Arrangements That Can Be Made With The Letters Of The Word Meadows So That The Vowels Occupy The Even Places ?

The word MEADOWS has 7 letters of which 3 are vowels.

-V-V-V-

As the vowels must occupy even locations, they may be arranged in the three even places in three! I.E., 6 ways. While the consonants can be organized amongst themselves within the remaining 4 locations in 4! I.E., 24 approaches. 

Hence the entire ways are 24 * 6 = a hundred and forty four.

Q14. In A Class, 50 Students Play Cricket, 20 Students Play Football And 10 Play Both Cricket And Football. How Many Play At Least One Of These Two Games ?

The required wer is 50 + 20 – 10 = 60.

Q15. In A Survey Of Defaulted Payments Of Electrical Bills Of A Residential Complex Of one hundred twenty five Houses, It Is Found That 50 Houses Defaulted On Their Payment Of Electrical Bills In January, 60 In February And 4

We use method for intersection of three sets, maintaining in mind that Jan ∩ Mar does not exist, seeing that they're now not consecutive months.

Let x be the variety of human beings defaulting in all three months.

We get the equation as : 125 = 50 + 60 + 40 – 20 – 10 + x. Solving we get x = five.




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