Aptitude Questions And Answers

41⟩ The length of a rectangle is increased by 60%. By what % would the width have to be decreased to maintain the same area?

Let the length be L and breadth be B...therefore initial area ia A=L*B

Now if we increase length by 60%, the new length will be L+3L/5...

Let the decreased amount of breadth be x...

since the area is same in both the cases, we can equate the area as

L*B=8L/5(B-x)...Solving this we get x as 3/8...which is nothing but 37.5%

Therefore the breadth shld be decreased by 37.5%

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42⟩ An aircraft takes off from A (72° N Lat, 40° E Long) at 2.00 Am local time to B (32° N Lat, 50° W Long). If the flying time is 10 hours what is the local time of landing at B?

40+50 =90.

for 1 deg 4 minutes, so for 90 (90*4)=360minutes =6hours

2am+10hours journey-6hours=6hours.

so the answer is 6am.

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43⟩ A sales person multiplied a number and get the answer is 3 instead of that number divided by 3.what is the answer he actually has to get?

Assume 1

1* 3 = 3

1*1/3=1/3

so he has to got 1/3

this is the exact answer

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44⟩ If A is traveling at 72 km per hour on a highway. B is traveling at a speed of 25 meters per second on a highway. What is the difference in their speeds in meters per second?

5 m/sec

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45⟩ In the following figureA B CDE F GHIEach of the digits 1, 2, 3, 4, 5, 6, 7, 8, and 9 isa)Represented by a different letter in the figure above.b)Positioned in the figure above so that each of A + B + C,C + D +E,E + F + G, and G + H + I is equal to 13.Which digit does E represent?

By given condition, we have

A+B+C = 13...(1)

C+D+E = 13...(2)

E+F+G = 13...(3)

G+H+I = 13...(4)

Add up (1)+(2)+(3)+(4), we get

52=13*4 = A + B + C+ C + D + E+ E + F + G+ G + H + I = C+E+G+(A + B + C+ D +E + F + G + H + I)

= C+E+G+(1+2+ 3+ 4+ 5+ 6+ 7+ 8+ 9) = C+E+G+(1+9)*9/2 = C+E+G + 45

Hence,C+E+G = 52 - 45 = 7...(5)

By (5), we have E = 7-C-G <= 7-3 = 4 (since, the smallest C,G are 1 or 2)

By (2)-(5)., we get D-G = 6, or D = G+6...(6)

Since D,G are between 1 and 9,

so D= 7, 8,or 9, and we have G=1,2 or 3

By (3)-(5)., we get F-C = 6, or F = C+6...(7)

Since F,C are between 1 and 9,

so F= 7, 8,or 9, and we have C=1,2 or 3

By (6) ,(7) & (5):

Case(i) When G =1, D = G+6 =7,

and then C = 2, F = C+6=8, E = 7-C-G= 4

Or C = 3, F = 9, E = 3 (invalid,since the same C,E value)

Case(ii) When G =2, D = G+6= 8,

and then C = 1, F = C+6=7, E= 7-C-G=4

Or C = 3, F = 9, E = 2(invalid,since the same C,G value)

Case(iii) When G =3, D = G+6=9,

and then C = 1, F = C+6=7, E =7-C-G= 3(invalid,since the same E,G value)

Or C = 2, F = C+6=8, E=7-C-G = 2(invalid,since the same C,E value)

In these three possible cases of the values of G, we obtain that the only valid value of E is 4

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46⟩ In which of the system, decimal number 384 is equal to 1234?

Base 6

Keep take out factors of 384 by dividing it by 6, till remainder remains 1, go reverse and form the number it should be 1234

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47⟩ In a certain code, the symbol for 0 (zero) is. * and that for 1 is $. The numb.rs greater than1 are to be written only by using the two symbols given above.The value of the symbol for 1 doubles itself every time it shifts one place to the left.(For example, 4 is written as $**; and; 3 is written as $$)

First you have to find the binary value for that no. Then you can replace 1 by $ and 0 by *

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48⟩ 1)SCOOTER --------- AUTOMOBILE A. A PART OF2.OXYGEN----------- WATER B. A Type of3.SHOP STAFF------- FITTERS C. NOT A TYPE OF4. BUG -------------REPTILE D. A SUPERSET OF

ans would be:bug.......reptile

Reason:rest all three are either way connected by each other as a subset and superset / intersection whereas bug and reptile are exclusive sets

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49⟩ ABCE is an isosceles trapezoid and ACDE is a rectangle. AB = 10 and EC = 20. What is the length of AE?

ae=10

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50⟩ Ram singh goes to his office in the city every day from his suburban house. His driver Mangaram drops him at the railway station in the morning and picks him up in the evening.Every evening Ram singh reaches the station at 5 oclock. Mangaram also reaches at the same time. One day Ram singh started early from his office and came to the station at 4 oclock. Not wanting to wait for the car he starts walking home. Mangaram starts at normal time, picks him up on the way and takes him back house, half an hour early. How much time did Ram singh walked?

for 20 min he has to walk

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51⟩ If the product of the 3 consecutive integers is 210, then the sum of the two smaller integers?

the three consecutive integers be x,y and z.

given: xyz=210. the unit place ends with 0. so it must be a multiple of 5,10,...

if it is a multiple of 10 means it must lead to a large number because 10*9*8=720 or 10*11*12=1320. so it must be a multiple of 5.

so now 5*6*7=210 or 5*4*3=60.

according to the given question 5,6,7 only satisfies. so the numbers must be 5,6 and 7.

the sum of smallest integers is 5+6=11.

answer is 11.

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52⟩ Find the root of given equation x-2/(x-1)=1-2/(x-2) if possible?

Its,easy as we:

are wid: x-1=2/(x-1)-2/(x-2)

x-1=2(x-2)-2(x-1)/(x-1) *(x-2)

x-1=-2/(x-1)(x-2)^3

so, (x^2-2x-1)(x-2)=-2

(x^3-2x^2-x)-(2x^2-4x+2)=-2

(x^3-4x^2+3x-2)=-2

=> x=0 or,

x^2-4x+3=0

=> x=1,x=3

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53⟩ There is a circular pizza with negligible thickness that is cut into x pieces by 4 straight line cuts. What is the maximum and minimum value of x respectively?a) 12,6b) 11,6c) 12,5d) 11,5

just draw a circle in paint try cutting it.......you wont get more than 11.

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54⟩ If first term of AP is 5. 16th term is 45.find the sum of first 16 terms?

1st term=5 16th term=45 ; 5+15d=45 where d is common difference. d=8/3.

therefore sum of 1st 16 terms= 16/2(2*5 + 15*8/3)=400

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55⟩ In a circular race track of length 100 m, three persons A, B and C start together. A and B start in the same direction at speeds of 10 m/s and 8 m/s respectively. While C runs in the opposite at 15 m/s. When will all the three meet for the first time on the after the start?a) After 4 sb) After 50 sc) After 100 sd) After 200 s

In such type of questions get ur answers from options itself..

take 1st option and calculate distance travelled by each person so it will be (4*10)=40m for A,(4*8)=32,(4*15)=60............so here distance travelled by each person is not a Multiple of 100 .....

likewise try for other options ................

The correct answer is 100s

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56⟩ The value of ¾ + 5 / 36 + 7 / 144 + …….+17 / 5184 + 19 / 8100 is?

convert it into...

[1-1/4]+[1/4-1/9]+[1/9-1/16]+...

=1-1/100

=0.99

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57⟩ In a company 30% are supervisors and 40% employees are male if 60% of supervisors are male.What is the probability? That a randomly chosen employee is a male or female?

Ans:0.3

let E be the event that the emp may female or male supervisors...

30% are supervisors.

60% of 30% supervisors=18%male supervisors.

therefore,12% are female supervisors.

The prob(E)=no.of fav chances/no.of total chances.

=>prob(male)+prob(female)

=>18/100+12/100 since,total empoyees in the company are 100.

=>0.3 (probability lies between 0 and 1).

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58⟩ A bus started from bu standat 8.00a m and after 30 min staying at destination, it returned back to the bu stand. the destination is 27 miles from the bu stand. the speed of the bus 50 percent fast speed. at what time it returns to the bu stand?

a bus cover 27miles with 18mph in=27/18 =1hr30min and it wait at stand=30min.

after this speed of return increases by 50%. so 50% of 18mph=9mph

total speed of returning=18+9=27

then in return it take 27/27=1hr.

then total time in journey=1+1.30+0.30=3hr

so it will come at 8+3hr=11am.

so ans=11am

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59⟩ A Car has run 10000 miles using 5 treys interchangeably have an equal worn out by all treys How many miles each Tyre should have run?

I think the answer should be 8000 miles per tyre... because the remaining 2000 miles you use the other tyre... and for 4 wheels the fifth tyre would have run 4*2000=8000 miles... thus the answer should be 8000 miles per tyre...

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60⟩ A power cable is to be run from a power plant on the bank of a river 900 meters wide to a factory that is located 3000 meters downstream on the opposite bank. If the cost of laying cable under water is Rs. 5 per meter and that of laying overhead on land is Rs. 4 per meter, find the point downstream where the cable is to cut across the river.(a) 450 (b) 3900 (c) 1800 (d) 2100 (e) 2700

tht point downstream where the cable is to cut across the river = 3000-900=2100

so the answer is 2100.

if cost is to be calculated then (2100*4)+(2100*5)=18900

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Aptitude

Home Basic Common Aptitude

332 Aptitude Questions And Answers

41⟩ The length of a rectangle is increased by 60%. By what % would the width have to be decreased to maintain the same area?

42⟩ An aircraft takes off from A (72° N Lat, 40° E Long) at 2.00 Am local time to B (32° N Lat, 50° W Long). If the flying time is 10 hours what is the local time of landing at B?

43⟩ A sales person multiplied a number and get the answer is 3 instead of that number divided by 3.what is the answer he actually has to get?

44⟩ If A is traveling at 72 km per hour on a highway. B is traveling at a speed of 25 meters per second on a highway. What is the difference in their speeds in meters per second?

45⟩ In the following figureA B CDE F GHIEach of the digits 1, 2, 3, 4, 5, 6, 7, 8, and 9 isa)Represented by a different letter in the figure above.b)Positioned in the figure above so that each of A + B + C,C + D +E,E + F + G, and G + H + I is equal to 13.Which digit does E represent?

46⟩ In which of the system, decimal number 384 is equal to 1234?

48⟩ 1)SCOOTER --------- AUTOMOBILE A. A PART OF2.OXYGEN----------- WATER B. A Type of3.SHOP STAFF------- FITTERS C. NOT A TYPE OF4. BUG -------------REPTILE D. A SUPERSET OF

49⟩ ABCE is an isosceles trapezoid and ACDE is a rectangle. AB = 10 and EC = 20. What is the length of AE?

51⟩ If the product of the 3 consecutive integers is 210, then the sum of the two smaller integers?

52⟩ Find the root of given equation x-2/(x-1)=1-2/(x-2) if possible?

53⟩ There is a circular pizza with negligible thickness that is cut into x pieces by 4 straight line cuts. What is the maximum and minimum value of x respectively?a) 12,6b) 11,6c) 12,5d) 11,5

54⟩ If first term of AP is 5. 16th term is 45.find the sum of first 16 terms?

56⟩ The value of ¾ + 5 / 36 + 7 / 144 + …….+17 / 5184 + 19 / 8100 is?

57⟩ In a company 30% are supervisors and 40% employees are male if 60% of supervisors are male.What is the probability? That a randomly chosen employee is a male or female?

58⟩ A bus started from bu standat 8.00a m and after 30 min staying at destination, it returned back to the bu stand. the destination is 27 miles from the bu stand. the speed of the bus 50 percent fast speed. at what time it returns to the bu stand?

59⟩ A Car has run 10000 miles using 5 treys interchangeably have an equal worn out by all treys How many miles each Tyre should have run?

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Aptitude

Home Basic Common Aptitude

332 Aptitude Questions And Answers

41⟩ The length of a rectangle is increased by 60%. By what % would the width have to be decreased to maintain the same area?

42⟩ An aircraft takes off from A (72° N Lat, 40° E Long) at 2.00 Am local time to B (32° N Lat, 50° W Long). If the flying time is 10 hours what is the local time of landing at B?

43⟩ A sales person multiplied a number and get the answer is 3 instead of that number divided by 3.what is the answer he actually has to get?

44⟩ If A is traveling at 72 km per hour on a highway. B is traveling at a speed of 25 meters per second on a highway. What is the difference in their speeds in meters per second?

45⟩ In the following figureA B CDE F GHIEach of the digits 1, 2, 3, 4, 5, 6, 7, 8, and 9 isa)Represented by a different letter in the figure above.b)Positioned in the figure above so that each of A + B + C,C + D +E,E + F + G, and G + H + I is equal to 13.Which digit does E represent?

46⟩ In which of the system, decimal number 384 is equal to 1234?

48⟩ 1)SCOOTER --------- AUTOMOBILE A. A PART OF2.OXYGEN----------- WATER B. A Type of3.SHOP STAFF------- FITTERS C. NOT A TYPE OF4. BUG -------------REPTILE D. A SUPERSET OF

49⟩ ABCE is an isosceles trapezoid and ACDE is a rectangle. AB = 10 and EC = 20. What is the length of AE?

51⟩ If the product of the 3 consecutive integers is 210, then the sum of the two smaller integers?

52⟩ Find the root of given equation x-2/(x-1)=1-2/(x-2) if possible?

53⟩ There is a circular pizza with negligible thickness that is cut into x pieces by 4 straight line cuts. What is the maximum and minimum value of x respectively?a) 12,6b) 11,6c) 12,5d) 11,5

54⟩ If first term of AP is 5. 16th term is 45.find the sum of first 16 terms?

56⟩ The value of ¾ + 5 / 36 + 7 / 144 + …….+17 / 5184 + 19 / 8100 is?

57⟩ In a company 30% are supervisors and 40% employees are male if 60% of supervisors are male.What is the probability? That a randomly chosen employee is a male or female?

58⟩ A bus started from bu standat 8.00a m and after 30 min staying at destination, it returned back to the bu stand. the destination is 27 miles from the bu stand. the speed of the bus 50 percent fast speed. at what time it returns to the bu stand?

59⟩ A Car has run 10000 miles using 5 treys interchangeably have an equal worn out by all treys How many miles each Tyre should have run?

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