## Quantitative Aptitude Aptitude questions and answers for interview preparation

Q1. Three Numbers Are Selected At Random Without Replacement From N Number,what Is The Probability That The First Number Drawn Will Be The Smallest And The Second Is The Largest?

1C1*1C(N-1)*1C(N-2)/3C(N-3)

Q2. Iin Pure Milk If 20% Replaced By Water And In This Again 20% Is Replaced By Water And Again 20% Is Replaced By Water Then What Is The Proportion Of Milk In That Mixture?

A hundred-20%=80% ; 80-20%=sixty four ; sixty four-20%= fifty one.2%

Q3. If There Are 2 Wheelers And four Wheelers Parked In A School Located At The Heart Of The City, Find The Number Of 4 Wheelers Parked There If There Were 58 Wheels Are Parked There?

We check in line with the wers for eg. 14x4=56 and 1x2=2 then also overall 58 wheel for this reason 14 is the max no of 4 wheelers.

But much less than 14 additionally possible so goes via the option.

Q4. Entry Ticket To An Exhibition Ranges From 1p To 7p. You Need To Provide Exact Change At The Counter. You Have 7p Coin. In How Many Parts Will You Divide 7p So That You Will Provide The Exact Change Re

three

Divide the 7p into 1p, 2p, and 4p.

1p = 1p

2p = 2p

3p = 1p + 2p

4p = 4p

5p = 4p + 1p

6p = 4p + 2p

7p = 4p + 2p + 1p

Q5. In How Many Ways Can A Lock Be Opened If That Lock Has Three Digit Number Lock If I) The Last Digit Is 9 Ii) And Sum Of The First Two Digits Is Less Than Or Equal To The Last Digit

our quantity is xy9

now if x is zero then y has 10 alternatives

now if x is 1 then y has nine options (besides 9)

now if x is two then y has 8 alternatives (except 9 and eight)

.

.

.

Now if x is nine then y has 1 choice (this is 0)

Q6. There Are three Sections With 5 Questions Each. If Three Questions Are Selected From Each Section, Then In How Many Ways This Selection Can Be Done?

If there are 5 questions, and only 3 query are slected, this is 10 exceptional viable combinations. There 3 section, and with every section having 10 viable combos, deliver one thousand one-of-a-kind feasible combos.

Q7. There Are 76 Persons. Fifty three Can Read Hindu,46 Can Read Times,39 Can Read Deccan And 15 Can Read All.If 22 Can Read Hindu And Deccan And 23 Can Read Deccan And Times Then What Is The Number Of Persons Who

No it need to be sixteen

Since H+D=22

T+D=23

ALL=15

then 76=22+23+15+(H+T)

H+T=76-60=16.

Q8. One Monkey Climbs 6 Mts And Fall 3 Mts In Alternate Minutes Then Time Taken To Climb A Tree 60 Meters High?

It will take 38mins to reach 60meters.

At 39th min it'll b returned at 57meters and again at 40th min it is going to be returned at 60meters.

Q9. A Number When Divided By D Leaves A Remainder Of 8 And When Divided By 3d Leaves A Remainder Of 2

Ans: 3

When the range is split through 3-D we were given 2@Me the variety itself is 21 and three-D >21.

While 21/D, remainder is 8.

So D = 21-8 =thirteen.

Now (21*2)/(13*three), Remainder is three.

Q10. How Can A Cake(round) Be Cut Into 8 Pieces By Making Just 3 Cuts?

Make two cuts to divide the cake into four (cutting on the diameter of a circular cake, the cuts perpendicular to each different). Now, location the four sectors of the cake one over the opposite. Make a cut such that the reduce is going throw the centre cutting each of the cake sectors into half. So now we have done 3 cuts. Each quarter is reduce into two so four*2=eight.

Q11. A Flight Takes Off At 2 A.M From North East Direction And Travels For eleven Hours To Reach The Destination, Which Is In North West Direction. Given The Latitude And Longitude Of Source And Destination. F

The is 4AM.

The distance among their is (60+60)=a hundred and twenty,

four*a hundred and twenty=480...

THEN V HAV TO CONVERT HRS..480/60=8HRS

10-eight=2HRS

IT STARTS 2AM SO 2+2=4AM.

Q12. What Is The Probability Of Getting 2 Prime Nos. From 1 To 20?

Given that there are eight Prime Numbers underneath 20, and if the limit is simplest random numbers beneath 20 then there may be a 40% threat of getting a top range.

Q13. A Motor Cycle Stunts Man Belonging To A Fair, Rides Over The With Vertical Walls Of A Circular Well At An Average Speed Of fifty four Kph For 5 Minutes. If The Radius Of The Well Is five Meters Then The Distance

4.5 kms

fifty four kilometers per hours = 54000 meters per hour

54000 meters / 60 minutes = 900 meters in step with minute

900 meters * 5 mins of touring time = 4500 meters tour

4500 meters = four.5 kilometers traveled in 5 mins

Q14. If (a + three)^2 = 9 And (b + four)^2 = 25 Then What Is The Min Value For A And B?

If A=0 And B=1 then both equation are happy....

Q15. Each Of The Followed Paired Numbers Have A Relationship That's The Same For All Of The Paired Numbers. What Is The Missing Number? Four, one hundred 7, 111 8, a thousand 1, 1 12, 1100 2, ?

(8, a thousand) (2^three, 10^3)

(4, one hundred) (2^ 2, 10^2)

(1,1)( 2^0, 10^zero)

(2,?)( 2^1, 10^1)

Q16. In A Theatre The Ratio Of Car & Two Wheeler Is 1:

vehicle/2wheeler=1/eight,think vehicle be X & 2wheeler be Y.

X/Y=1/8; Y=8X additionally there r 4 tyre in 1 vehicle & 2 tyre in 1 wheeler ;

consequently 4X + 2Y=a hundred

Solving these 2 eq. X=5 & Y=forty.

Q17. Form eight Digit Numbers By Using 1,2,three,four,5 With Repetition Allowed And Must Be Divisible By four?

There are 78125 8 digit numbers form from the numbers 1, 2, three, four, and five which are flippantly divisionable with the aid of @I assume thats only a few too many than will be indexed here.

Q18. (1- 1/6) (1-1/7).... (1- (1/ (n+4))) (1-(1/ (n+five))) = ?

=(5/6)*(6/7)*(7/8)*...((n+3)/(n+4))*((n+four)/(n+5))

=5/n+five

Q19. The It Giant Tirnop Has Recently Crossed A Head Count Of 150000 And Earnings Of $7 Billion. As One Of The Forerunners In The Technology Front, Tirnop Continues To Lead The Way In Products And Services

The formulation for this question is M1*D1*W2=M2*D2*W1.

So placing a majority of these values we get the wer to be 12 minutes.

Q20. Nine,18,21,25,20, What Is The Next Number In The Above Sequence?

= 25

bcoz, three*three=nine

three*6=18

3*7=21

5*five=25

5*4=20

so like(3*6 and 3*7 it is going to be 5*4 and 5*five mens increment by using 1)

Q21. With Just Six Weights And A Balance Scale, You Can Weigh Any Unit Number Of Kgs From 1 To 36

The six weights could be 1 kg, 3kg,9kg, 27kg, eighty one kg, and 243kg.For instance to weigh 2kg= 3kg-1kg...And so forth for all the weights.

Q22. A, B And C Starts From A Point On A Circle. A And B Goes Clockwise And C Anticlockwise. A Meets C After 88s B Meets C After 110s. After How Many Seconds A Meets B?

440s

Let pace of A,B and C be a,b,c resp.

2(pi)r/88 = a+c

2(pi)r/a hundred and ten = b+c

we need to discover 2(pi)r/a-b

Ans: 440

Q23. Rita Puts 9 Pairs Of Black Socks And 8 Pairs Of White Socks In A Drawer. She Takes three Socks. What Is The Probability That We Get A Pair Of Black Socks?

Amongst three socks she has to choose 2 black socks from 9 pair(=18) of black socks, that can be finished in 18C2 ways. And the 0.33 sock can be chosen from a number of the closing socks that may be performed in ((eight+nine-1)x2 )C 1 approaches i.E. In 32 ways.

. 32 X 18C2.

Q24. A No. Of Cats Got Together And Decided To Kill Between Them 99919 Mice. Every Cat Kills Equal No. Of Mice. Write A Program To Find No. Of Cats?

No. Of Cats: 163, 613, or 99919

declare

-- Local variables here

i integer;

start

-- Test statements here

for i in 1..99919 loop

if mod(99919,i) = zero then

dbms_output.Put_line (i);

end if;

give up loop;

quit;

Q25. Cube Has Colors Blue, Red ,yellow Each On Two Opposite Sides. Cube Is Divided Into "32 Small Cubes And 4 Large Cubes". Question: How Many Cubes (on 36 Cubes) Have Blue At Least One Side. How Many Cube

If you paint the dice such that:

Blue and Blue are on contrary sides

Red and Red are on opposite facet

Yellow and Yellow are on contrary facet

And, because the query didnt nation wherein the 32 smaller will be, Im putting the 32 smaller cubes on the perimeters with Blue paint.

Thus: 32 cubes have Blue on as a minimum one facet.

20 cubes have have colorings on two aspects.

Q26. A Cube Has A Side Of 4cm.B The Cube Is Painted Red On All Six Side. This Cube Is Then Cut Into a hundred twenty five Smaller Cubes. How Many Of These Smaller Cubes Will Have Only One Side Of Their Sides Painted?

The 4cm cube is divide into 125 smaller cubes:

that me that the 4cm dice = 5 smaller cubes in height, width, and intensity

Also, given that the 4cm is painted red on all six side:

only those smaller cubes that contact no outer surface can be freed from pink paint,

27 smaller cubes have no purple paint on them.

98 smaller cubes have a few red paint on them.

Q27. 1/three+1/5+1/x=1/8 , Find X?

1/3+1/five+1/x=1/eight

answer:

1/3+1/five-1/8=1/x

40+24-15 =1/x

120

49/120=1/x

x=one hundred twenty/forty nine

or

x=2 22/forty nine in fraction

Q28. With 4/5 Full Tank Vehicle Travels 12 Miles, With 1/three Full Tank How Much Distance Travels?

Four/5 complete tank= 12 miles.

1 full tank= 12/(4/5).

1/3 full tank= 12/(four/5)*(1/3)= 5 miles.

Q29. (loga)^2-(logb)^2 =?

(log a + log b)(log a- log b) =log ab . Log a/b

Q30. The Citizens Of Planet Nigiet Are eight Fingered And Have Thus Developed Their Decimal System In Base

three hundred in the nigiets base 8

192 inside the base 10 for us ....

The wer is general of 192 (base 10)

Q31. A Solid Cube Is Painted Black On Two Of Its Opposite Faces And Is Cut Into 343 Pieces. How Many Small Pieces Have No Paint?

245 portions don't have any coloration on them,ninety eight pieces have black on one aspect.

Q32. The Cost Of 17 Apples, 9 Oranges , 13 Bananas Is Rs a hundred thirty , Whereas Cost Of 13 Oranges, 7 Apples And 10 Bananas Is Rs

Rs 10

Q33. Suppose A Train Passes Two Cars Moving In The Direction At 45km/hr And 50km/hr In 36 Sec And 54 Sec Respectively. What Is The Length Of The Train?

Train crossed the automobile with much less pace in less time and the automobile with high speed in greater time.I.E educate and two automobiles going inside the equal path.

Subsequently 1st car

L/((S-forty five)*5/18)=36 i.E L=10S-450

further for 2d automobile

L=15S-750

BY fixing those two equations we get period of the educate L=150mtrs

Q34. A, B, C, D Went To A Hotel And Planned To Share The Bill Equally. But Afterwards They Changed Their Plan And To Pay Proportional To Consumption A Paid 240, B & C Paid Equally, D Paid Only Half The Amo

-160

jus suppose 1st plan all paid x rs me personally x/4

2d plan

x eqals= 240+x/four+x/four+x/eight

solving x equals 640

so

paid through B is x/4

160

Q35. One Man Or Two Women Or Three Boys Can Do A Work In 44 Days Then One Man, One Women And One Boy Together Can Finish The Same Work In ---- Days?

Exactly 24 days...

1 guy do 1/forty four activity consistent with day.

2 female do 1/44 activity in step with day.

Three children do 1/forty four activity in step with day.

So

1man , 1 lady , 1 infant.

1/forty four+1/88+1/132 activity consistent with day

so 11/264 = 1/t wherein t is the time taken.

Now 264/eleven = 24 = t

Q36. How Many Of These Smaller Cubes Will Have Only One Side Of Their Sides Painted?

Best those smaller cubes that do not contact the rims of the 4cm dice can have simplest one facet painted, as a result:

- 54 smaller cubes have best one side painted

- 36 smaller cubes have two aspects painted

- 8 smaller cubes have three sides painted

Q37. I Will Come Thrice In A Minute, Twice In An Hour And Once In A Day.. Who Am I?

A,E,I,O,U is the Answer.