Interview Questions.

Q1. The Average Age Of A Woman And Her Daughter Is 42 Years. The Ratio Of Their Ages Is 2 : 1 Respectively. What Is The Daughter's Age?

Let the age of mother be M and that of her daughter be D Therefore, [M+D]/2 = forty two [M/D] =2/1 and Solving the above equations we get D = 28 yrs.

Q2. Two Trains Of Length 150 M And 2 hundred M Respectively, Are Travelling In Opposite Directions At A Speed Of 54 Km/hr And seventy two Km/hr. What Is The Total Time Taken By Them To Cross Each Other?

Fifty four km/hr = fifty four x (five/18) = 15m/s

seventy two km/hr = 72 x (5/18) = 20 m/s

Total distance = one hundred fifty + 200 = 350 m

Relative speed = 15 + 20 = 35 m/s

Total time = Total distance/Relative velocity

               = 350/35 = 10s

Q3. The Banker's Discount On Rs.1800 At 12% Per Annum Is Equal To The True Discount On Rs.1872 For The Same Time At The Same Rate. Find The Time?

S.I on Rs.1800 = T.D on Rs.1872.

P.W on Rs.1872 is Rs.1800.

Rs.72 is S.I on Rs. 1800 at 12%.

Time = (100x72 / 12x1800)

        = 1/3 yr = 4 months.

Q4. Find Compound Interest On Rs. 7500 At 4% Per Annum For 2 Years, Compounded Annually?

Amount = Rs [7500x (1+4/100)²]

                = Rs.(7500 x 26/25x26/25Rs)

                = Rs.8112.

C.I         = Rs (8112 - 7500)

              = Rs.612.

Q5. A Cone Has Vertical Height And Slant Height As 15 Cm And 17 Cm Respectively. A Hemisphere With The Same Radius As The Cone Is Placed On The Face Of The Cone. What Is The Total Volume Of The Figure For

Using the Pythagoras theorem, the radius of the cone = √ (172 - 152) = eight cm.

Volume of cone = (1/3) x π x r2 x h= (1/3) x π x eighty two x 15

Radius of hemisphere=radius of cone

Volume of hemisphere = (2/three) x π x r3 = (2/3) x π x 83

Total volume of parent = Volume of cone + Volume of hemisphere = 4233.Fifty eight cu. Cm.

Q6. What Is The Probability Of Finding A Red Face Card In A Deck Of Cards?

A deck of card has 52 cards of which 26 are black and the other 26 are crimson.

The range of face playing cards is 12, but handiest 6 of them are purple.

So, required possibility is 6/fifty two = 3/26

Q7. On Selling 100 Articles, A Shopkeeper Earns A Profit Amount Equal To The Selling Price Of 50 Articles. What Is The Profit Percentage Of The Shopkeeper?

Let SP of each article be Re. 1

So, SP of one hundred articles =Rs. A hundred

Implies profit = Rs. 50

So, CP = 100 – 50 = Rs. 50

Therefore, income percentage of the shopkeeper is 50/50 × one hundred = a hundred%

Q8. The Speed Of A Boat In Still Water Is 15 Km/hr And The Rate Of Current Is three Km/hr. The Distance Travelled Downstream In 12 Minutes Is?

Speed Downstream = (15 + three) km/hr

                                = 18 km/hr.

Distance travelled = (18 x 12/60) hrs

                                = 3.6km.

Q9. The Sum Of 3rd And sixth Term Of An A.P Is 2

T3 = a + 3d

T6 = a + 6d

T3 + T6 = 2a + 9d = 27

Sum of first 10 phrases of an AP is: 

S= (10/2) (2a+9d)

  = 5 x 27

  = 135

Q10. Even After Reducing The Marked Price Of A Tristor By Rs. 32, A Shopkeeper Makes A Profit Of 15%. If The Cost Price Be Rs. 320, What Percentage Of Profit Would He Have Made If He Had Sold The Tristor A

Let x be the marked fee,

So x - 32 = 320 X 1.15 

           x  = 400.

So required value is

four hundred = 320 (1 + earnings/a hundred),

So income is 25%

Q11. The Product Of Two Numbers Is 192 And The Sum Of These Two Numbers Is 2

Let the number be x and (28 - x) = Then,

x (28 - x) = 192

‹=›x2 - 28x + 192 = 0.

‹=›(x - sixteen) (x - 12) = 0

‹=›x = 16 or x = 12.

Q12. A Can Contains A Mixture Of Two Liquids A And B In The Ratio 7:

Suppose the can to start with contains 7x and 5x litres of combinations A and B respectively

Quantity of An in aggregate left 

= (7x - 7/12 x 9) litres = (7x - 21/four) litres.

Quantity of B in aggregate left 

= (5x - five/12 x nine) litres = (5x - 15/4) litres.

(7x - 21/four) / [(5x - 15/4) +9] = 7/9 = › 28x - 21/20x + 21 = 7/nine =› 252x - 189 = 140x + 147

                                               =› 112x = 336 =’ x = three.

So, the can contained 21 litres of A.

Q13. A Completes 50% Of The Work In 10 Days And Then Decides To Take Help From B And C. B Is Half As Efficient As A And Similarly C Is Half As Efficient As B. How Many More Days Will They Take To Complete

As A completes half of the work in 10 days, he/she will whole the paintings in 20 days.

As B is half as efficient as A and C is half as green as B,

They will entire the work in 1/20 + 1/40 + 1/80 = 7/eight@So 7/80 of the work in a single day.

So, they could whole the entire paintings in 80/7 days

Therefore, they are able to whole the ultimate 50% of the work in (1/2) x eighty/7 = 40/7 days.

Q14. A Car Travels A Distance Of forty five Km At The Speed Of 15 Km/hr. It Covers The Next 50 Km Of Its Journey At The Speed Of 25km/hr And The Last 25 Km Of Its Journey At The Speed Of 15 Km/hr. What Is The Aver

We realize, Average pace = Total distance travelled / Total time taken Average = [45+50+25]/ [3+2+ 25/15] = 18 kmph

Q15. When A Commodity Is Sold For Rs.34.Eighty, There Is A Loss Of 2%. What Is The Cost Price Of The Commodity?

C.P = Rs. (one hundred / seventy five×34.80)

        = Rs.Forty six.Forty.

Q16. Three Times The First Of Three Consecutive Odd Integers Is 3 More Than Twice The Third. The Third Integer Is?

Let the 3 numbers be x, x+2, x+four

Then 3x = 2(x+four) + 3

           ‹=›x = 11

Third integer = x + 4 = 15.

Q17. The Value Of Log2 sixteen Is?

Let log216 = n.

Then, 2n = 16 = 24

               ‹=› n=4.

Q18. There Are Two Sections A And B Of A Class, Consisting Of 36 And 44 Students Respectively. If The Average Weight Of Sections A Is forty Kg And That Of Sections B Is 35 Kg. Find The Average Weight Of The W

Total weight of (36+44) Students    = (36x40+44x35) Kg = 2980 kg.

Average weight of the entire elegance = (2980 / eighty) = 37.25.

Q19. Aman Started A Business Investing Rs.70, zero

Aman : Rakhi : Sagar =(70,000 x 36):(1,05,000 x 30):(1,40,000 x 24)

                                =12: 15: sixteen.

Q20. How Many Different Words Can Be Formed From The Word Oracle So That The Vowels Always Come Together?

We will organization the letters that want to return collectively (A & E) and do not forget them as a single letter. So, here the letters are O, R, C, L, and AE.

Number of ways A & E may be organized is two!

So, the overall number of methods wherein the phrases can be formed so that every one vowels are collectively is five! X 2! = 240 methods.

Q21. The Banker's Gain On A Bill Due 1 Year Hence At 12% Per Annum Is Rs.

T.D = [B.G x 100 / R x T]

        = Rs. (6 x a hundred / 12 x 1)

        = Rs.50.

Q22. The Ratio Of The Present Ages Of A And B nine:

A/b=9/5; i.E. 5a = 9B.......... (i)

A-five/B-5 = 2/1; i.E. A-five = 2B .........10

∴A - 2B = -five................... (ii)

From equation (i) and (ii), A = 45, B = 25

∴ Average =forty five+25/2 = 70/2 = 35.

Q23. The Length Of A Rectangular Plot Is 20 Metres More Than Its Breadth. If The Cost Of Fencing The Plot

Let breadth = x metres

Then, duration = (x + 20) metres.

Perimeter = (5300 / 26.50) m

                = 200m

Q24. A Batsman Makes A Score Of 87 Runs In The 17th Inning And Thus Increases His Averages By

Let the average after 17th inning = x. Then, common after sixteenth inning = (x - 3)

Average =sixteen (x-3) +87

            = 17x or x= (87-forty eight)

            = 39.

Q25. A Clock Is Set At 5 A.M. The Clock Loses sixteen Minutes In 24 Hours. What Will Be The True Time When The Clock Indicates 10 P.M. On 4th Day?

Time from 5 a.M on a day to 10 p.M.On 4th day = 89 hours.

Now 23 hrs forty four min. Of this clock = 24 hours of correct clock.

Therefore 356 / 15 hrs of this clock = 24 hours of accurate clock.

89 hrs of this clock = (24 x 15/356 x 89) hrs

                                = ninety hrs

So, the appropriate time is eleven p.M.

Q26. A Man Buys A Cycle For Rs.1400 And Sells It At A Loss Of 15%. What Is The Selling Price Of The Cycle?

S.P = 85% of Rs.1400

        = Rs. (eighty five/one hundred×1400)

           Rs.1190.

Q27. A Car Travels A Distance Of a hundred and seventy Km In 2 Hours Partly At A Speed Of one hundred Km/h And Partly At 50 Km/h. The Distance Travelled At A Speed Of 50 Km/h Is?

Suppose he covers x km at a hundred kmph

So he covers 170-x at 50 kmph

So X/a hundred+a hundred and seventy-X/50=2

Solving this equation, we get x = one hundred forty.

So he covers 30km at 50 kmph.

Q28. A Rectangular Parking Space Is Marked Out By Painting Three Of Its Sides. If The Length Of The Unpainted Side Is nine Feet, And The Sum Of The Lengths Of The Painted Sides Is 37 Feet, Then What Is The Ar

Clearly, we've got l=nine and l+2b=37

Area = (l x b)

        = (9 x 14) sq.Ft = 126 sq.Ft.

Q29. 20 Boys And 32 Girls Form A Group For Social Work. During Their Membership Drive Same No. Of Boys And Girls Joined The Group. How Many Members Does The Group Have Now, If The Ratio Of Boys To Girls Is

Let x be the brand new boys as well as girls, Therefore

[20+X]/ [32+X] =3/four

Solving this we get x = sixteen

So general can be 36 + 48 = 84.

Q30. Suganya And Surya Are Partners In A Business. Suganya Invests Rs. 35,000 For 8 Months And Surya Invests Rs.42, 000 For 10 Months. Out Of A Profit Of Rs.31, fifty seven

Ratio of their shares = (35000×eight): (42000×10)

                                = 2: three.

Suganya's proportion = Rs. (31570 ×2/5)

                                = Rs.12628.

Q31. Find The Compound Interest On Rs.16, 000 At 20% Per Annum For 9 Months, Compounded Quarterly?

Principal = Rs.16, 000;

Time=nine months = three quarters;

Amount = Rs. [16000x (1+5/100)³]

            = [16000x21/20x21/20x21/20]

            = Rs.18522.

C.I = Rs. (18522 - 16000)

        = Rs.2522.

Q32. A Vessel Is Filled With Liquid, three Parts Of Which Are Water And five Parts Of Syrup. How Much Of The Mixture Must Be Drawn Off And Replaced With Water So That The Mixture May Be Half Water And Half Syrup?

Suppose the vessel first of all includes 8 litres of liquid. Let x litters of this liquid be replaced with water.

Quantity of water in new combination = (3 - 3x/eight + x) litres.

Quantity of syrup in new mixture = (5 - 5x/eight) litres.

 (3 - 3x/eight + x) = (5 - 5x/eight) = 5x + 24 = forty - 5x 

=› 10x = 16 =› x = eight/5

So, a part of the mixture changed = (eight/5 x 1/eight) = 1/5.

Q33. An Accurate Clock Shows eight O'clock In The Morning. Through How Many Degrees Will The Hour Hand Rotate When The Clock Shows 2 O'clock In The Afternoon?

Angle traced by means of hour hand in 

5 hrs 10 min. = (360/12 x 6) °

                        = one hundred eighty°.

Q34. What Decimal Of An Hour Is A Second?

Required decimal = 1/ 60 x 60

                          = 1/ 3600

                          = .00027.

Q35. If Log 2 = 0.30103, The Number Of Digits In 520 Is?

Log 520 =20 log 5

            =20 × [log (10/2)]

            =20 (log 10 - log 2)

            =20 (1 - zero.3010)

            =20×0.6990

            =13.9800.

Characteristics = thirteen.

Q36. A Can Do A Work In 60 Days And B Can Do The Same Work In 40 Days. They Work Together For 12 Days And Then 'a' Goes Away. In How Many Days Will 'b' Finish The Remaining Work?

Work done by A and B in 12 days is = 12 * 5/a hundred and twenty = 1/2

Therefore Remaining paintings = 1- half = 1/2work

B does 1/40 paintings in in the future

Therefore B does 1/2 work in forty*half =20days

Q37. The Price Of Sugar Is Increased By 25%.Discover By How Much Percent The Consumption Of Sugar Be Decreased So As Not To Increase The Expenditure?

Using the formula to calculate % lower as [R/(100+R)]x100 where R = percentage growth in rate, we get

Required % decrease in consumption = 25/125 MULTIPLIED 100 = 20%.

Q38. A Boat Can Travel With A Speed Of 13 Km/hr In Still Water. If The Speed Of The Stream Is four Km/hr. Find The Time Taken By The Boat To Go 68 Km Downstream?

Speed Downstream = (13 + 4) km/hr

                                = 17 km/hr.

Time taken to travel sixty eight km downstream = (68 / 17) hrs

                                                                = four hrs.