Interview Questions.

Q1. The Sum Of The Ages Of A Son And Father Is 56 Years After Four Years The Age Of The Father Will Be Three Times That Of The Son. Their Ages Respectively Are?

Present a long time of son and father be x years (56 -x)years

(fifty six- x +four) = three(x + four) or 4x =48 or x = 12 

Ages are 12 years, 44 years.

Q2. Four Car Rental Agencies A, B, C And D Rented A Plot For Parking Their Cars During The Night. A Parked 15 Cars For 12 Days, B Parked 12 Cars For 20 Days, C Parked 18 Cars For 18 Days And D Parked sixteen C

The ratio wherein the four corporations could be paying the rents = 15 * 12 : 12 * 20 : 18 * 18 : 16 * 15

= a hundred and eighty : 240 : 324 : 240 = forty five : 60 : eighty one : 60

Let us recollect the 4 amounts to be 45k, 60k, 81k and 60k respectively.

The overall lease paid by the four organizations = 45k + 60k + 81k + 60k= 246k

It is for the reason that A paid Rs. 1125

45k = 1125 => k = 25

246k = 246(25) = Rs. 6150

Thus the overall hire paid by all the 4 companies is Rs. 6150.

Q3. The Price Of An Article Is Cut By 10%. To Restore It To The Former Value, The New Price Must Be Increased By?

Let the price of the thing = Rs.One hundred

New charge = 100 - 10 = ninety

Therefore the new rate have to be accelerated by way of(a hundred−ninety)×100/90=100/nine%=11 1/nine%.

Q4. A Train 110 M Long Is Running With A Speed Of 60 Km/hr. In What Time Will It Pass A Man Who Is Running At 6 Km/hr In The Direction Opposite To That In Which The Train Is Going?

Speed of train relative to man = 60 + 6 = 66 km/hr.

= sixty six * five/18 = 55/3 m/sec.

Time taken to skip the men = 110 * 3/55 = 6 sec.

Q5. Pushpa Is Twice As Old As Rita Was Two Years Ago If The Difference Between Their Ages Is 2 Years, How Old Is Pushpa Today?

Rita’s age 2 years in the past be x years 

Pushpa’s present age =(2x) years 

2x –(x +2) =2 => x =four 

Therefore pushpa’s present age = eight years.

Q6. A And B Invests Rs.Ten thousand Each, A Investing For 8 Months And B Investing For All The 12 Months In The Year. If The Total Profit At The End Of The Year Is Rs.25000, Find Their Shares?

The ratio in their profits A:B = eight:12 = 2:three

Share of A within the overall income = 2/five * 25000 = Rs.Ten thousand Share of A inside the general profit = 3/five * 25000 = Rs.15000.

Q7. How Many Of The Following Numbers Are Divisible By 132?

264, 396, 462, 792, 968, 2178, 5184, 6336

132 = 11 * 3 * four

Clearly, 968 isn't divisible by using 3

None of 462 and 2178 is divisible via four

And, 5284 isn't always divisible through eleven

Each one of the remaining four numbers is divisible by way of every certainly one of 4, three and eleven.

So, there are 4 such numbers.

Q8. A Started A Business With An Investment Of Rs. 70000 And After 6 Months B Joined Him Investing Rs. 1200

Ratio of investments of A and B is (70000 * 12) : (120000 * 6) = 7 : 6

Total earnings = Rs. 52000

Share of B = 6/13 (52000) = Rs. 24000.

Q9. Nine 3/four + 7 2/17 - nine 1/15 = ?

 Given sum = nine + three/4 + 7 + 2/17 - (9 + 1/15)

= (9 + 7 - nine) + (3/4 + 2/17 - 1/15)

= 7 + (765 + one hundred twenty - sixty eight)/1020 = 7 817/1020.

Q10. A, B And C Started A Business With Capitals Of Rs. 8000, Rs. 10000 And Rs. 12000 Respectively. At The End Of The Year, The Profit Share Of B Is Rs. 15

Ratio of investments of A, B and C is 8000 : ten thousand : 12000 = four : five : 6

And also given that, profit percentage of B is Rs. 1500

=> 5 components out of 15 elements is Rs. 1500

Now, required distinction is 6 - 4 = 2 components

Required difference = 2/5 (1500) = Rs. Six hundred.

Q11. A And B Start A Business, With A Investing The Total Capital Of Rs.50000, On The Condition That B Pays A Interest

Interest acquired by means of A from B = 10% of half of of Rs.50000 = 10% * 25000 = 2500.

Amount obtained with the aid of A per annum for being a operating accomplice = 1500 * 12 = Rs.18000.

Let 'P' be the part of the closing income that A receives as his percentage. Total profits of A = (2500 + 18000 + P)

Total income of B = only his percentage from the ultimate earnings = 'P', as A and B proportion the final income equally.

Income of A = Twice the income of B

(2500 + 18000 + P) = 2(P)

P = 20500

Total income = 2P + 18000

= 2*20500 + 18000 = 59000.

Q12. The Wheels Revolve Round A Common Horizontal Axis. They Make 15, 20 And forty eight Revolutions In A Minute Respectively. Starting With A Certain Point On The Circumference Down Wards. After What Interval Of T

Time for one revolution = 60/15 = 4

60/ 20 = three

60/forty eight = five/4

LCM of 4, three, five/four

LCM of Numerators/HCF of Denominators = 

60/1 = 60.

Q13. If The Length, Breadth And The Height Of A Cuboid Are In The Ratio 6: five: 4 And If The Total Surface Area Is 33300 Cm2, Then Length Breadth And Height In Cms, Are Respectively?

Length = 6x

Breadth = 5x 

Height = 4x in cm 

Therefore, 2(6x × 5x + 5x × 4x + 6x × 4x) = 33300 

148x2 = 33300 

=> x2 = 33300/148 = 225 

=> x = 15. 

Therefore, Length = 90cm, 

Breadth = 75cm, 

Height = 60cm 

90, seventy five , 60 cm.

Q14. Two-fifth Of One-1/3 Of Three-7th Of A Number Is

Let the variety be x. Then,

2/5 of 1/3 of three/7 of 

x = 15 => x = (15 * 5/3 * 3 * five/2) = 525/2

forty% of 525/2 = (forty/100 * 525/2) = one hundred and five.

Q15. A Train Moves Fast A Telegraph Post And A Bridge 264 M Long In eight Sec And 20 Sec Respectively. What Is The Speed Of The Train?

Let the duration of the train be x m and its velocity be y m/sec.

Then, x/y = 8 => x = 8y

(x + 264)/20 = y

y = 22

Speed = 22 m/sec = 22 * 18/5 = seventy nine.2 km/hr.

Q16. If 35% Of A Number Is 12 Less Than 50% Of That Number, Then The Number Is?

Let the number be x. Then,

50% of x - 35% of x = 12

50/100 x - 35/a hundred x = 12

x = (12 * a hundred)/15 = eighty.

Q17. A Drink Vendor Has eighty Liters Of Maaza, one hundred forty four Liters Of Pepsi And 368 Liters Of Sprite. He Wants To Pack Them In C, So That Each Can Contains The Same Number Of Liters Of A Drink, And Doesn't Want To Mix

The number of liters in every can = HCF of 80, a hundred and forty four and 368 = sixteen liters.

Number of c of Maaza = eighty/sixteen = five

Number of c of Pepsi = 144/sixteen = nine

Number of c of Sprite = 368/16 = 23

The overall wide variety of c required = 5 + 9 + 23 = 37 c.

Q18. A And B Starts A Business With Rs.8000 Each, And After four Months, B Withdraws Half Of His Capital How Should They Share The Profits At The End Of The 18 Months?

A invests Rs.8000 for 18 months, however B invests Rs.8000 for the primary 4 months and then withdraws Rs.4000.

So, the funding of B for ultimate 14 months is Rs.4000 simplest.

A             :                 B

8000*18 : (8000*four) + (4000*14)

14400     : 88000

A:B = 18:11.

Q19. The Price Of An Article Has Been Reduced By 25 %. In Order To Restore The Original Price, The New Price Must Be Increased By?

Let unique rate = Rs. One hundred. 

Reduced Price = Rs. Seventy five. 

Increase on Rs. 75 = Rs. 25 

Increase on 100 = (25/75 x 100) % = 33 1/three %.

Q20. Sameer Spends forty % Of His Salary On Food Article, And 1/3 Rd Of The Remaining On Trport. If He Saves Rs. 450 Per Month Which Is Half Of The Balance After Spending On Food Items And Trport. What Is Thi

Suppose, revenue = Rs. 100 

Expenditure on meals = Rs. Forty 

Balance = Rs. 60 

Expenditure on trport = 1/3 × Rs. 60 = Rs. 20 

Now, balance = Rs. 40 

Saving = Rs. 20 

If saving is = Rs. 20 

Salary = Rs. A hundred 

If saving is Rs. 450, 

revenue = Rs (100/20 x 450) = Rs. 2250.

Q21. The Sum Of The Ages Of 5 Children Born At The Intervals Of three Years Each Is 50 Years. What Is The Age Of The Youngest Child?

Let the a long time of the children be x, (x + three), (x + 6), (x + nine) and (x +12) years. 

Then, x + (x + 3) + (x + 6) + (x + nine) + (x + 12) = 50

5x = 20 => x = four.

Age of youngest toddler = x = four years.

Q22. A three hundred M Long Train Crosses A Platform In 39 Sec While It Crosses A Signal Pole In 18 Sec. What Is The Length Of The Platform?

Speed = three hundred/18 = 50/3 m/sec.

Let the duration of the platform be x meters.

Then, (x + 300)/39 = 50/3

3x + 900 = 1950 => x = 350 m.

Q23. Find The Lowest four-digit Number Which When Divided By three, 4 Or 5 Leaves A Remainder Of 2 In Each Case?

Lowest 4-digit variety is a thousand.

LCM of three, 4 and 5 is 60.

Dividing a thousand by way of 60, we get the remainder 4@Thus, the bottom 4-digit number that precisely divisible by way of 3, four and 5 is a thousand + (60 - forty) = 1020.

Now, add the the rest 2 this is required. Thus, the wer is 1022.

Q24. How Many Meters Of Carpet 63cm Will Be Required To Be A Floor Of A Room 14m By 9cm?

Width of the carpet = sixty three/one hundred m let it’s duration be x metres

Then x × 63/one hundred = 14 x 9 

=> x =(14 x 9 x one hundred/sixty three) = 200m 

Length = 200m.

Q25. The Length Of A Rectangular Increased By 10% And It;s Breadth Is Decreased By 10 %. Then The Area Of The New Rectangle Is?

Length of the be permit ‘l’ units and breadth be b units 

Area =lb sq. Units 

Now length =(110/100 l) = 11l/10 

New breadth =(ninety/one hundred b) = 96/10 

Now vicinity (11l/10 x ninety six/10)Sq.Units = (ninety nine/a hundred lb)sq.Unit 

Area decreased = (lb -99/a hundred lb)sq.Gadgets =lb/one hundred squareUnits 

Percentage decreased =(lb/a hundred x 1/lb x 100)% = 1%.

Q26. A Is A Working Partner And B Is A Sleeping Partner In The Business. A Puts In Rs.15000 And B Rs.25000, A Receives 10% Of The Profit For Managing The Business The Rest Being Divided In Proportion Of Th

15:25 => three:5

9600*10/a hundred = 960

9600 - 960 = 8640

8640*3/eight = 3240 + 960

                 = 4200.

Q27. Rajan Got Married eight Years Ago. His Present Age Is 6/5 Times His Age At The Time Of His Marriage. Rajan's Sister Was 10 Years Younger To Him At The Time Of His Marriage. The Age Of Rajan's Sister Is?

Let Rajan's gift age be x years. 

Then, his age at the time of marriage = (x - eight) years.

X = 6/5 (x - 8) 

5x = 6x - 48 => x = 48

Rajan's sister's age at the time of his marriage = (x - 8) - 10 = 30 years.

Rajan's sister's gift age = (30 + 8) = 38 years.

Q28. The Income Of A Broker Remains Uncharged Though The Rate Of Commission Is Increased From 4 % To 5 % The Percentage Of A Slump In Business Is?

Let the commercial enterprise value adjustments from x to y. 

Then four % of x = five % of y of four/one hundred × x = 5/100 × y 

or y = four/five x. 

Change in business = (x - four/5 x) = four/5 x. 

Percentage hunch in commercial enterprise 

= (1/5 x ×1/x × one hundred)% = 20%.

Q29. A Jogger Running At nine Km/hr Along Side A Railway Track Is 240 M Ahead Of The Engine Of A a hundred and twenty M Long Train Running At forty five Km/hr In The Same Direction. In How Much Time Will The Train Pass The Jogger?

Speed of teach relative to jogger = 45 - nine = 36 km/hr.

= 36 * 5/18 = 10 m/sec.

Distance to be covered = 240 + one hundred twenty = 360 m.

Time taken = 360/10 = 36 sec.

Q30. Which One Of The Following Numbers Is Exactly Divisible By eleven?

(four + 5 + 2) - (1 + 6 + 3) = 1, no longer divisible by means of eleven.

(2 + 6 + 4) - (four + 5 + 2) = 1, not divisible via 11.

(four + 6 + 1) - (2 + 5 + 3) = 1, no longer divisible by means of eleven.

(four + 6 + 1) - (2 + five + four) = zero. 

So, 415624 is divisible through 11.

Q31. A Train Speeds Past A Pole In 15 Sec And A Platform one hundred M Long In 25 Sec, Its Length Is?

Let the length of the educate be x m and its speed be y m/sec.

Then, x/y = 15 => y = x/15

(x + one hundred)/25 = x/15 => x = one hundred fifty m.

Q32. The Difference Between A Number And Its Two-5th Is five

Let the variety be x. Then,

x - 2/five x = 510

x = (510 * five)/3 = 850

10% of 850 = 85.

Q33. A Room Is 6 Meters 24 Centimeters In Length And four Meters 32 Centimeters In Width. Find The Least Number Of Square Tiles Of Equal Size Required To Cover The Entire Floor Of The Room?

Length = 6 m 24 cm = 624 cm

Width = four m 32 cm = 432 cm

HCF of 624 and 432 = 48

Number of rectangular tiles required = (624 * 432)/(48 * forty eight) = 13 * nine = 117.

Q34. 66% Of 33.33% Of 66.66% Of ? = 30

16.Sixty six% of 33.33% of 66.Sixty six% of x = 30

 = 1/6 of one/three of 2/three of x = 30 

=> (30 * 6 * 3 * three)/2  => x = 810

Q35. A Boat Goes 24 Km Downstream In 10 Hours, It Takes 2 Hours More To Cover The Same Distance Against The Stream. What Is The Speed Of The Boat In Still Water?

Speed downstream = 24/10 km/hr = 2.4 km/hr 

Speed upstream = 24/12 km/hr = 2 km/hr 

Speed of the boat in nevertheless water = ½ (2.Four +2)km/hr = 2.2 km/hr.

Q36. A Train Passes A Station Platform In 36 Sec And A Man Standing On The Platform In 20 Sec. If The Speed Of The Train Is fifty four Km/hr. What Is The Length Of The Platform?

Speed = 54 * five/18 = 15 m/sec.

Length of the train = 15 * 20 = 300 m.

Let the period of the platform be x m . Then, 

(x + three hundred)/36 = 15 => x = 240 m.

Q37. The Surface Area Of A Cube Is 726m2, Its Volume Is?

6a2= 726 

=> a2 = 121 

=> a = eleven Cm 

Therefore, Volume of the cube 

= (eleven × eleven × 11) cm3 = 1331 cm3.

Q38. Find The Greatest Number That, While Dividing 47, 215 And 365, Gives The Same Remainder In Each Case?

Calculate the differences, taking  numbers at a time as follows:

(215-47) = 168

(365-215) = 150

(365-47) = 318

HCF of 168, one hundred fifty and 318 we get 6, which is the best number, which whilst dividing 47, 215 and 365 gives the identical.

Emainder in each cases is 5.

Q39. The Speed Of A Motor Boat Is That Of The Current Of Water As 36:

Let the velocity of motor boat be 36x km/hr and that of modern of water be 5x km/hr 

Speed downstream = (36x +5x)km/hr = 41x km/hr 

Speed upstream = (36 -5x)km/hr = 31x km/hr 

Distance blanketed downstream = (41x × 31/6)km 

Distance upstream = [1271x/6 × 1/31x]hrs 

= 41/6 hrs = 6hrs 50 min.

Q40. The Length Of A Rectangle Is Increased By 60 %. By What Percent Would The Width Have To Be Decreased To Maintain The Same Area?

Let period = a hundred m. 

Breath = 100 m. 

New period = one hundred sixty m.

New breath = x meters 

Then, = 160 × x = 100 × one hundred 

(or) X = (100 ×one hundred)/160 × one hundred twenty five/2 

Decrease in breadth = (a hundred- 125/2) % = 37 ½ %.

Q41. If 20% Of A Number, Then 120% Of That Number Will Be?

Let the quantity x. Then,

20% of x = one hundred twenty

x = (120 * a hundred)/20 = 600

one hundred twenty% of x = (120/a hundred * six hundred) = 720.

Q42. A Steamer Goes Downstream From One Port To Another In four Hours, It Covers The Same Distance Upstream In 5 Hours. If The Speed Of The Stream Is 2km/hr,the Distance Between The Two Parts Is?

Let the distance among the two elements be x km. 

Then speed downstream = x/4 km/hr. 

Speed Upstream = x/five km/hr 

Speed of the circulate = ½ (x/four –x/five) 

Therefore, ½(x/four –x/five) = @=> x/four –x/five = 4 => x = eighty. 

Hence, the space between the 2 ports is 80km.

Q43. Water Tax Is Increased By 20% But Its Consumption Is Decreased By 20 %. Then, The Increase Or Decrease In The Expenditure Of The Money Is?

Let tax = Rs. One hundred and consumption = one hundred devices 

Original Expenditure = Rs. (one hundred × one hundred) = Rs. 10000 

New Expenditure = Rs. (a hundred and twenty × 80) = Rs. 9600 

Decrease in expenditure = (four hundred/ten thousand x 100) % = four %.

Q44. How Many Seconds Will A 500 M Long Train Take To Cross A Man Walking With A Speed Of three Km/hr In The Direction Of The Moving Train If The Speed Of The Train Is sixty three Km/hr?

Speed of educate relative to guy = 63 - three = 60 km/hr.

= 60 * 5/18 = 50/3 m/sec.

Time taken to skip the man = 500 * three/50 = 30 sec.

Q45. 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 Sec. The Speed Of The Train Is?

Speed of the educate relative to man = a hundred twenty five/10 = 25/2 m/sec.

= 25/2 * 18/5 = 45 km/hr

Let the velocity of the teach be x km/hr. Then, relative speed = (x - 5) km/hr.

X - five = forty five => x = 50 km/hr.

Q46. The Sum Of The Two Numbers Is 12 And Their Product Is three

Let the numbers be a and b. Then,

a + b = 12 and ab = 35.

(a + b)/ab = 12/35

= (1/b + 1/a) = 12/35

Sum of reciprocals of given numbers = 12/35.

Q47. Ayesha's Father Was 38 Years Of Age When She Was Born While Her Mother Was 36 Years Old When Her Brother Four Years Younger To Her Was Born. What Is The Difference Between The Ages Of Her Parents?

Mother's age while Ayesha's brother was born = 36 years.

Father's age whilst Ayesha's brother become born = (38 + four) = 42 years.

Required difference = (forty two - 36) = 6 years.

Q48. Two Trains one hundred forty M And a hundred and sixty M Long Run At The Speed Of 60 Km/hr And 40 Km/hr Respectively In Opposite Directions On Parallel Tracks. The Time Which They Take To Cross Each Other Is?

Relative velocity = 60 + forty = 100 km/hr.

= a hundred * five/18 = 250/9 m/sec.

Distance blanketed in crossing every different = 140 + one hundred sixty = three hundred m.

Required time = three hundred * 9/250 = 54/5  = 10.8 sec.

Q49. On Decreasing The Price Of T.V. Sets By 30 % Its Sale Is Increased By 20 %. What Is The Effect On The Revenue Received By The Shopkeeper?

Let charge = Rs. 100, Sale = 100 

Then Sale Value = Rs. (a hundred × one hundred) = Rs. 10000 

New Sale Value = Rs. (70 × one hundred twenty) = Rs. 8400 

Decrease % = (1000/ten thousand x 100) % = sixteen %.

Q50. P And Q Started A Business With Respective Investments Of Rs. Four Lakhs And Rs. 10 Lakhs. As P Runs The Business, His Salary Is Rs. 5000 Per Month. If They Earned A Profit Of Rs. 2 Lakhs At The End Of T

Ratio of investments of P and Q is 2 : 5 

Total profits claimed via P = 12 * 5000 = Rs. 60000 

Total earnings = Rs. 2 lakhs. 

Profit is to be shared = Rs. 140000 

Share of P = (2/7) * 140000 = Rs. 400000

Share of Q = Rs. A hundred thousand

Total income of P = (60000 + 40000) = Rs. A hundred thousand

Ratio in their profits = 1 : 1.