Interview Questions.

Q1. Excluding Stoppages, The Speed Of A Bus Is 54 Kmph And Including Stoppages, It Is 45 Kmph. For How Many Minutes Does The Bus Stop Per Hour?

Speed of the bus excluding stoppages = fifty four kmph.

Speed of the bus such as stoppages = forty five kmph.

Loss in speed whilst including stoppages = 54 - 45 = 9kmph.

=> In 1 hour, bus covers 9 km less because of stoppages

Hence, time that the bus stop in line with hour = time taken to cowl 9 km.

=distance / pace= nine / 54 hour = 1/6 hour = 60/6 min=10 min.

Q2. A Can Lay Railway Track Between Two Given Stations In sixteen Days And B Can Do The Same Job In 12 Days. With Help Of C, They Did The Job In four Days Only. Then, C Alone Can Do The Job In?

Work carried out with the aid of A in 1 day = 1/16

Work accomplished by means of B in 1 day = 1/12

Let C takes x days to lay railway tune between two given stations.

So work achieved through C in 1 day = 1/x

A, B and C together take 4 days to lay the railway music.

So, in 1 day they entire 14 of the whole work together

So, 1/16 + 1/12 + 1/x = 1/four

=> 1/x = 1/four - 1/16 - 1/12

=> 1/x = five/forty eight

=> x = 48/5.

Q3. A Alone Can Do A Piece Of Work In 6 Days And B Alone In eight Days. A And B Undertook To Do It For Rs. 32

A completes the paintings in 6 days.

So, Work carried out through A in 1 day = 1/6.

=> A's three-day paintings = 3/6 = 1/2.

B completes the work in eight days

So, Work completed through B in 1 day = 1/8

=> B's three-day work = three/eight

The closing work is achieved through C.

So the part of work executed by using C = 1 - (half+ three/8) = 1/eight.

So, C's percentage is eighteen of 3200 = 3200 * 1/eight = 400.

Q4. N Number Of Persons Decided To Raise Rs.Three Lakhs By Equal Contribution From Each. Had They Contributed Rs.50 Each Extra, The Contribution Would Have Been Rs.Three.25 Lakhs? How Many Persons Are There?

N X 50  = (325000 - 300000) = 25000

N     = 25000 / 50 

            = 500.

Q5. A Man Takes five Hours 45 Min In Walking To A Certain Place And Riding Back. He Would Have Gained 2 Hours By Riding Both Ways. The Time He Would Take To Walk Both Ways Is?

Given that time taken for driving each methods can be 2 hours lesser than the time wanted for waking one way and driving back.

From this, we are able to keep in mind that time needed for driving one way = time needed for waking one manner - 2 hours.

Given that time taken in strolling one manner and using returned = five hours forty five min

Hence the time he might take to stroll both approaches = 5 hours forty five min + 2 hours = 7 hours forty five min.

Q6. A Money Lender Finds That Dues To A Fall In The Annual Rate Of Interest From eight% To 7x3/4%, His Yearly Income Diminishes By Rs.61.5

Let the capital be Rs. X.

Then,      = (x × 8×1/100) - (x × 31/4×1/a hundred)

              = sixty one.50.

‹=›32x - 31x =6150×4

‹=›x= 24600.

Q7. A Woodentoy Is Bought For Rs. 56000 And Sold At Profit Of 25 %. Find Its Selling Price?

Cost fee = Rs. 56000

Profit % = 25 %

Selling price = [(100 + Gain %)/100] * Cost fee

Selling charge = (one hundred twenty five /one hundred) x 56000

Selling rate = 70,000.

Q8. The H.C.F Of Two Numbers Is 11 And Their L.C.M Is 77

Other quantity = (eleven×7700 / 275)

                        = 308.

Q9. How Many 4 Letters Words With Or Without Meaning, Can Be Formed Out Of The Letters Of The Word, 'logarithms', If Repetition Of Letters Is Not Allowed?

'LOGARITHMS' incorporates 10 one of a kind letters.

Required wide variety of words = Number of arrangements of 10 letters, taking 4 at a time.

                                      ‹=› 10p4

                                      ‹=› (10 x nine x 8 x 7)

                                      ‹=› 5040.

Q10. In An Examination, 35% Of The Students Passed And 455 Failed. How Many Students Appeared For The Examination?

Let the range of college students seemed be x.

Then, 65% of x = 455

‹=›65 / one hundred x = 455

‹=› x= [455 x 100 / 65]

= 700.

Q11. If The Sum And The Difference Of Two Numbers Are 20 And eight Respectively, Then The Difference Of Their Square Is?

Let the numbers be x and y.

Then, x + y = 20 and x - y = 8.

Therefore, x2 - y2 = (x + y)(x - y)

                         ‹=› 20 x 8

                         ‹=› one hundred sixty.

Q12. When A Plot Is Sold For Rs. 18,seven-hundred, The Owner Loses 15%. At What Price Must That Plot Be Sold In Order To Gain 15%?

Let the C.P. Of the plot = Rs. X.

Given that x - 15% of x = 18700.

=> (85/one hundred) * x = 18700.

=> x = 22000.

So the price charge (C.P.) of the plot = Rs. 22000.

S.P. Of plot for 15% income = 22000 + 15% of 22000 = 22000*(a hundred and fifteen/100) = 25300.

Q13. If Selling Price Is Doubled, The Profit Triples. Find The Profit Percent?

Let the C.P. Be x and the S.P. Be y

So the profit is (y - x) ---------------------------- (1)

Now, the S.P. Is doubled. So the new S.P. = 2y

The new earnings = (2y - x)

Given that once S.P. Is doubled, income increases 3 instances

=> New income = 3 * antique earnings

=> (2y - x) = three(y - x)

=> y = 2x

So, the earnings = (y - x) = (2x - x) = x

% earnings = (x / x) * 100 % = a hundred%.

Q14. The Sum Of Two Numbers Is 2

Let the numbers be x and (22 - x).

Then, 5x = 6(22 - x)

            ‹=› 11 x = 132

           x = 12.

So, the numbers are 12 and 10.

Q15. A Cube Of Edge 5 Cm Is Cut Into Cubes Of Each Edge 1 Cm. The Ratio Of The Total Surface Area Of One Of The Small Cubes To That Of The Large Cube Is Equal To?

Required ratio = (6x1x1 / 6x5x5)

                       ‹=›1/ 25

                       ‹=›1: 125.

Q16. A Train 100 M Long Is Running At The Speed Of 30 Km/hr. Find The Time Taken By It To Pass A Man Standing Near The Railway Line?

Speed of the train = (30 x five/18) m/sec

                           = (25 / 3) m/sec.

Distance moved in passing the standing man = 100 m.

Required time taken = one hundred / (25 / three)

                                = (a hundred x three / 25) sec

                                = 12 sec.

Q17. The Cost Of Painting The Whole Surface Area Of A Cube At The Rate Of thirteen Paise Per Sq.Cm Is Rs. 343.Nine

Surface location = (34398 / thirteen)

                  ‹=›2646cm3

                  ‹=›6a2= 2646

                  ‹=›a2= 441

                  ‹=›a = 21.

So, extent = (21x21x21) cm3= 9261cm3.

Q18. A Pump Can Fill A Tank With Water In 2 Hours. Because Of A Leak, It Took 2x1/3 Hours To Fill The Tank. The Leak Can Drain All The Water Of The Tank In?

Work done by using the leak in 1 hour = (1/2 - three/7)

                                               ‹=›1/14.

Leak will empty the tank in 14 hours.

Q19. A Train one hundred twenty five M Long Passes A Man, Running At 5 Km/hr. In The Same Direction In Which The Train Is Going, In 10 Seconds. The Speed Of The Train Is?

Let the velocity of the educate be x km/hr.

Given, Speed of the person = five km/hr.

Since both the educate and guy are transferring within the equal path so the rate of the educate (relative to guy) could be (x-5) km/hr.

Length of the educate = a hundred twenty five m = a hundred twenty five/one thousand km = 18 km

Time taken to go the person = 10 sec = 10/3600 hrs. = 1/360 hrs.

So velocity =distance/time.

=> x-5 =360/ eight.

=> 8x - 40 = 360.

=> 8x = 400.

=> x = 50 km/hr.

Q20. If A Number X Is 10% Less Than Another Number Y And Y Is 10% More Than 125, Then X Is Equal To?

Y = 125 + 10% of 125

  = one hundred twenty five + 12.50 

  = 137.50.

X = 137.50 - 10% of 137.50

  = 137.50 - thirteen.75

  = 123.Seventy five.

Q21. The Largest Four Digit Number Which Is A Perfect Cube, Is?

Clearly, 9261 is a perfect dice pleasurable the given property.

Q22. The Cube Root Of .000216 Is?

(.000216)1/three = (216 / 106)1/3

                             = (6 x 6 x / 102 x 102 x 102)1/three

                            = 6 / 102

                            = 6 / 100

                            = .06

Q23. Two Trains Start From A And B Respectively And Travel Towards Each Other At A Speed Of 60 Km/hr. And 75 Km/hr. Respectively. By The Time They Meet, The Second Train Has Traveled 70 Km More Than The Fi

At the time of assembly, permit the gap traveled by means of the first educate be x km. 

Then, distance protected by way of the second one train is (x + 70) km.

=> x/60 = (x + 70)/75.

=> 75x = 60x + 60*70.

=> 15x = 4200 = x = 280 km.

So, distance among A and B = (x + x + 70) 

= 280 + 280 + 70 

= 630 km.

Q24. A Is Thrice As Good As Workman As B And Therefore Is Able To Finish A Job In 60 Days Less Than B. Working Together, They Can Do It In?

Let B takes x days to finish the activity.

Since A is three times higher than B, A takes one 0.33 of the time taken with the aid of B.

So, A can end the process in x/3 days.

Given that time taken by A to complete the paintings is 60 days much less than that of B

So, x/three = x - 60.

=> x = 90.

So, B does the job in 90 days and A does in (ninety-60) days = 30 days.

Fraction of process accomplished with the aid of A in 1 day = 1/30 and fraction of task done through B in 1 day = 1/90.

When operating together, work performed by A and B in 1 day = 1/30 + 1/90 = 2/forty five.

So, general time taken through A and B to finish the work together = forty five/2.

Q25. A Classroom Has Equal Number Of Boys And Girls. Eight Girls Left To Play Kho-kho, Leaving Twice As Many Boys As Girls In The Classroom. What Was The Total Number Of Girls And Boys Present Initially?

Let the range of boys = x.

Then, variety of ladies = x.

Now, 2(x - 8) = x.

                  X = 16.

Total wide variety of college students = 2x = 2 x16 = 32.

Q26. A Lent Rs.5000 To B For 2 Years And Rs. 3000 To C For four Years On Simple Interest At The Same Rate Of Interest And Received Rs.2200 In All From Both Of Them As Interest. The Rate Of Interest Per Annum

Let the price be R% p.A.

Then,   (5000xRx2/100) + (3000xRx4/one hundred)

          ‹=›100R+120R= 2200

          ‹=›R= (2200/220)

Rate ‹=›10%.

Q27. In A Lottery, There Are 10 Prizes And 25 Blanks. A Lottery Is Drawn At Random. What Is The Probability Of Getting A Prize?

P (getting a prize) = 10 / (10+25)

                          ‹=› 10 / 35

                          ‹=› 2 / 7.

Q28. The Cost Price Of 20 Articles Is The Same As The Selling Price Of X Articles. If The Profit Is 25%, Then The Value Of X Is?

Let the fee price of 1 article be z.

So, the value price of 20 article = 20z ------------------------- (1)

Selling Price of 20 articles = 20z + 25% of 20z = 25z

=> Selling Price of 1 article = 25z/20 = (5/four) *z

=> Selling Price of x articles = (five/four) *z*x ------------------------- (2)

Given that Selling Price (S.P.) of x articles = Cost Price (C.P.) of 20 articles

=> (5/four) *z*x = 20z

=> x = sixteen.

Q29. The Smallest Number Which When Diminished By 7, Is Divisible By 12, 16, 18, 21 And 28 Is?

Required numbers = (L.C.M of 12, 16, 18, 21, 28) + 7

                          ‹=›1008 + 7

                           = 1015.

Q30. Pipe A Can Fill A Tank In five Hours, Pipe B In 10 Hours And Pipe C In 30 Hours. If All The Pipes Are Open, In How Many Hours Will The Tank Be Filled?

Part stuffed by using (A+B+C) in 1 hour = (1/5 + 1/6 + 1/30)

                                               ‹=› 1/3.

All the three pipes collectively will fill the tank in three hours.

Q31. A Man Sitting In A Train Which Is Travelling At 50 Kmph Observes That A Goods Train, Travelling In Opposite Direction, Takes nine Seconds To Pass Him. If The Goods Train Is 280 M Long, Find Its Speed?

Relative Speed = (280 / nine) m/sec

                        = (280/nine x 18/five)

                        = 112 kmph.

Speed of the train = (112 - 50) kmph

                           = 62 kmph.

Q32. Two Trains Running In Opposite Directions Cross A Man Standing On The Platform In 27 Seconds And 17 Seconds Respectively And They Cross Each Other In 23 Seconds. The Ratio Of Their Speeds Is?

Let the speeds of the 2 trains be a m/sec and b m/sec respectively.

Then, period of the primary teach = 27a meters,

and duration of the second train = 17b meters.

So time = distance/ velocity.

=> 23 = (27a+17b) / (a+b).

=> 23a + 23b = 27a +17b

=> 23a - 27a = 17b - 23b

=> -4 a = -6 b

=> 2 a = three b

=> a/ b= three/2.