Management Aptitude Test 11 Nov Ii

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MANAGEMENT APTITUDE TEST

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MANAGEMENT APTITUDE TEST

Dr. T.K. Jain.

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What is the sum of digits of number (10^500 - 123456789)

1. 44472. 4457

3. 44674. 4465

5. 4456


• Look at options and solve it. As we deduct 123456789, the last few values left are 999876543211. as we can see that these values have been reduced by 123456789 so their reduction is by 45. thus 45 – 1 (which is there is 10) = 44 should be additive identity. Only option 4456 gives the answer. (4456+44 gives 4500,which is round number). Thus answer is 4456.


A, B, C purchase 100, 150 & 250 toffees from wholesaler for a total

of Rs. 300, Rs. 375 & Rs. 500 respectively. In this process

wholesaler earned p% & q% profit from A & C where p=3q. How much

profit did the wholesaler make in this transaction with B?

• 1. 67% 2. 33% 3. 25%• 4. 100% 5. None of these


Solution • Let us assume p = 30 and q = 10 • Sale price of first (assume cost 100) =130• Sale price of c = 110 • 130 – 110 = 20 which is 2Q• Solution : • Sale price of 100 tofees = 3 per tofee• That of 250 tofees = 2 per tofees• Difference = 3-2 = 1 rupee = 2Q• P = 3q or P – q = 2q. • Thus q = .5. cost of one toffee = 1.5 per tofee


Solution continued . .

• Cost of b toffee• = 150 * 1.5 = 225.• Sale price = 375• Profit = 375 – 225 = 150 or rupee 1 per

tofee. • 150/225*100 = 66.7% answer.


A shopkeeper give one scientific calculator free with five mobile phones, which in other words is

giving 20% discount on the sale of mobile phones. Then what is the percentage of

difference between two scientific calculator and a mobile?

(1) ±42% (2) ± 52%(3) ± 60% (4) ± 62%

(5) ±70%


Solution

• Let us assume that one mobile costs Rs. 100. thus 5 mobile costs Rs. 500 we can give discount of 20% which is 100. Thus the final price is 400

• Price of one calculator is Rs. 100 (equal to the discount). We take 2 calculator as = 200. The final price of one mobile is Rs. 80. thus difference is 120. 120/200 *100 = 60% answer.


11 hockey players are to be selected out of 16 players. Team must have 1 goal keeper, 5

defenders & 4 forwards. Out of 16,2 are goal keeper, 9 forward & remaining are defenders. Find now many ways can a team he selected?

2256 252256 108 112 308


Solution

• There are 2 goal keepers out of whom 1 has to be selected so we have 2 options here.

• We have to select not 4 but 5 forwards out of 9, so solution: 9c5 = 126

• We have to select 5 defenders out of 5, so we have only one choice.

• Thus total choices: 2X 126X1 = 252 answer.


There are 2 trains moving in opposite direction. They are of

equal length. Their speeds are also 90 KM per hour each. They 1

minute to cross each other. What is the length of each of these trains?


Solution

• Speed of 1 train : 90• Speed in meters / per second = 90*5/18• =25 meters per second. • The combined speed is 50 meters per

second. • Thus the two trains have taken 60 seconds

and have travelled : 60*50=3000• Thus length of one train = 1500 meters.

(each).


Ram Kap and goti start business with equal capital. Ram double the money every month. Kap trible the

capital every quarter and goti quadruple the capital every 6

month. What is their profit sharing ratio at the end of the year?


Solution

• Their capital ratio comes to : • 4095:120:84 answer.


3/4 th of 68 is less than2/3 of 114 by?

• ¾ *68 = 3*17 = 51• 2/3 *114 = 2*38 =76• Their difference is 25 answer.


LCM and HCF of 2 numbers are 84 and 21 respectively. If the ratio of the two numbers is 1:4, the larger

number is ? • The two numbers are X and 4X. • Let take factorisation of 84 and 21. • Factorisation of 84 = 2*2*3*7• Since HCF is 21, the numbers are 21 and

84 answer.


1/3rd of a number is 3 more than 1/4th of the number, what is the

number?

• Let us assume the number to be X. • X/3 – X/4 = 3 • (4X – 3X ) / 12 = 3• X = 36 Answer.


If 1/8th of a pencil is black, half of the remaining is yellow and

remaining 3.5 CM is blue, what is the total length of the pencil?

• Let us assume the length of the pencil to be 16 CM . 2CM is black. 7 CM is yellow. 7CM is blue. Thus if 7CM is blue, total length is 16, if 3.5 CM is blue, the total length is 16/7*3.5 = 8 CM Answer.


What is the next number in the sequence: 5,25,50,250,500?

• Let us first multiply a number by 5 and then multiply by 2 and so on. Thus we are able to get 2500 as the next number.


What is the value of (1/4)^-(1/2)?

• Let us first solve or – sign. We get 4^(1/2)• We know the answer now = 2*2 =4 so the

answer is 2


How many 5 digit multiples of 11 are there, If the 5 digits are

3,4,5,6,7?• We have only 5 digits, which we can

interchange. The total of these numbers is 25. for 11 to divide the difference of the alternate groups of numbers must be either 0 or 11. (25-11) = 14, dividing it in 2 parts, we get 7,7. thus alternate totals must be 7 and 18.

• Thus possible numbers are: 53647. We can inter-change 5,6,7 and also 3 and 4.

• Thus 3! *2! = 12 is the answer.


What will be the remainder when we divide 9^6+7 by 8?

• we can solve it as (1^6 +7)/ 8• (because when we divide 9 by 8, the

remainder is 1.). • Thus the remainder is 0. Answer.


In a bill the accountant transposed rupee for paise and vice versa. The

actual invoice amount was 5.42 more than 6 times of the bill. What

were the original invoice & bill amount?

• Options: (a) 44.06 and 6.44 (b) 18.25 and 25.18

• Solution try options and solve it?


Solution

• 6.44 * 6 = 38.64• Add 5.42 in this. • We get + 44.06. Thus this is the right

answer.


6 workers can make 270 units per minutes (together) How many units

can be made by10 workers for every 4 minutes.

• 270/6 *10 *4 = 1800


Sumit buys every year Bank s cash certificates of value exceeding the last year’s purchase by Rs. 300. After 20 years, he finds that the

total value of the certificates purchased by him is Rs. 83,000. Find the value of the certificates

purchased by him in the 13th year.


Solution

• Sum = n/2 (2a + (n-1)d)• =20/2 (2a + 19*300) = 83000• 2a + 5700 = 8300• 2a = 2600• A = 1300. • Thus 13th investment was : (A + 12 D)• = 1300 + (12*300) = 4900 answer.


BM started from his house one morning in a hurry. While moving out he looked at the mirror image of a wall clock. The clock had no number on its dial. It took him 10 minute to reach his office and then only he realised

his mistake as he could recollect that the time he saw while leaving home was exactly one hour behind that shown by the clock at ilie office. What was the time by the clock in

his office?Options: 5:25, 5:35,6:25, 6:35

answer: 6.35 answer.


In a showroom there is ‘Buy 2 Get Some Free” offer. The number of free shirts (of same type) is to be decided by tossing a

coin, on which numbers 2 and 3 are written on its sides. The number of free shirts is equal to the number that appears after tossing the coin. By how much percent

more than the cost price the selling price of a shirt is kept so that the showroom dealer

must not incure any loses?


Solution

• Let us assume that the cost of one shirt is 100.

• Expected value = 2 *.5 + 3*.5 = 2.5• Thus when he sells for 200, his cost is

450. he gets 225 per shirt. • He must keep at least 125% above the

cost to ensure no profit no loss.


What is the maximum number of soaps that can be produced in a

day?• A factozy uses two

machines, M1 and M2 to manufacture three types of soap, P, Q & R. The efficiency of the two machines with respect to the three types of soap is given in the table below. The numbers indicate the time taken (in min.) by the two machines to manul.lcture one unit each of the three types of soap.


Solution

• Let us assume that machine works for 12 hours. Machine M1 will make P (because the required is minimum) and M2 will make Q. Thus total production is :

• (12*60)/8 = 90• (12*60)/9 = 80• Thus they will make total 170 soaps.


If X is 90% of Y. what % of X is Y?

• Let us assume Y = 100• X = 90• Thus y = 100/90 *100 = 111% answer.


If X is 90% of Y. Y is 90% of Z what % of X is Z?

• Let us start with Z. Z is 100, Y is 90. Now being being 90, X is 90% of Y, thus X is 81.

• Z is 100/81*100 = 123.45 % of X. answer.


At what rate percent per annum will a sum of money doubles

itself in 12 years?(SI)

• This is a question on simple interest (SI)• We have 100 rupees now and we want

100 more in next 12 years. Thus annual interested expected is 100/12=8.33 approx. per annum answer.


At what rate percent per annum will a sum of money doubles

itself in 12 years?(CI)

• This is a question of compound interest. • Let us assume that the amount is X. • 100 (1+R)^12 = 200• (1+R)^12 = 2• Therefore the rate is 5.9% per annum.


the simple interest on a certain sum is 9/16 of the sum. Find

the rate percent and time, if both are equal.

• Let us assume that sum is 16. interest will be 9.

• PRT / 100 = I (p=principal,R=rate,T=time). • 16*R^2 / 100 = 9 (R = T)• R^2 = 900/16 • R = 30 / 4 or 7.5% per annum answer.


A sum when reckoned at simple interest at 3 per annum

amounts to Rs.364.80 after 4 years. Find the sum.

• Let us assume that the amount was Rs. 100.

• As per question : 100*3*4/100 = 12 or the amount becomes 112.

• Thus sum was 100/112 *364.8=325 (approx.)


Amount = Rs 1110, Time = 100 days, Rate = 5% p.a. what is

simple interest?

• 1110*100/365 *5/100 • =15.2 Rupees.


A is 20% more that B and B is 10% more than C. A is what % more

than C?

• Let us assume C = 100. B is 110. thus A is 120/100 *110 = 132.

• A = 132, C = 100. • Thus A is 32% more than C. Answer.


Goti spends 30% of his pocket money and has $210 left. How

much did he get as pocket money?• Money left out is 70%.

• 100/70 *210 = 300$


The average age of the boys in a class of 20 boys is 15.6

years. What will be the average age if 5 new boys come

whose average age is 15.4 years?

• Average = Total / Number• Total of 20 = 312. total of 5 = 77• Total of 25 = 389• New average = 389/25= 15.56 answer.


A sum of Rs.10,000 deposited at compound interest becomes double after 5 years. After 20 years, how

much will it become?

• Let us assume that money doubles in 5 years, from 1 we get 2 in 5 years, 4 in 10 years, and 8 in 15 years, and 16 in 20 years. Thus this amount will become 160000 in 20 years.


A sum of Rs.5000 was taken as a loan. This is to be paid in two equal installments. If the rate of interest is

20% compounded annually, then what is the value of each

instalment?

• Let us assume that there are 2 instalments of X amounts. Thus discounting them will give 5000.

• X /(1.2 )+ X / 1.44 = 5000


Solution

• X /(1.2 )+ X / 1.44 = 5000• 2.64X = 5000*1.2*1.44• X = (5000*1.2*1.44)/2.64• =3272.7 ANSWER.


—If a certain sum is doubled in 8

years on simple interest,then in how many years will it be

four times?

• Let us assume that Rs 100 becomes 200 in 8 years. Thus this money generates 100/8 = 12.5 per annum of interest

• We have to generate interest of Rs. 300 on Rs. 100 years. Thus years will be : 300/12.5 = 24 years. Answer.


A testator bequeathed by will 2/5 of his estate to his son,

‘’60% of the remainder to his daughter and the remainder to‘his widow, the son got Rs.750 more than the daughter. Howmuch did the widow receive?

• Let us assume that the total amount was Rs. 500. Son got 200 and daughter got 180. thus the difference was only 20.


• If the difference is 20, the total amount• is• 500/20 * 750 • 18750 is the total amount. • Share of widow : 18750*3/5 *40/100• Thus the widow got. Rs. 4500 answer.


A’s mother is sister of B and has a daughter C. How, can A be related

to B from among the following?

• (a) Niece (b) Uncle• (C) Daughter (d) Father

• (a)


Anil, introducing a girl in a party, said, She is the wife of the

grandson of my mother. How is Anil related to the

girl?

• Father in law.


A man said to a woman, Your mother’s husband’s sister is my

aunt. How is the woman related to the man?

(a) Grand daughter (b) Daughter(c)Sister(d) Aunt

• Sister


Showing a lady in the park, . Sumit said, ‘She is the daughter of my grandfather’s only son’. How is

Sumitrelated to that lady?(a) Father (b) SonBrother (d) Mother

• Brother


Puzzle

• (a) A x B means A is the brother of B.• (b) A + B means A is the mother of B.• (c) A ÷ B means A is the son of B.• (d) A — B means A is the husband of B.• Which of the following would mean M is

the father of N: (a) M ÷ N +0• (b) M x 0- N (c)M+0 ÷ N• (d)M-0+N


Solution

• Option D gives you correct answer.


Puzzle test….

• (1) In a family of six persons : A, B, C, D, E and F there are two married couples.

• (2) D is grand mother of A and mother of B.

• (3) C is the wife of B and mother of F.• (4) F is the grand daughter of E. What is C

to A?


Solution

• Grandmother is D, Grand father is E• Grandson / grand daughter are A and F.• Thus C is mother of A. answer.


Proper course of action?

• The exodus from villages, to cities is detrimental to both.

• Courses of Action:• I. Rural postings must be made

mandatory.• I!. There should be fewer trains linking

cities to smaller places.• III. Employment generation scheme should

be launched in rural areas.


Solution

• Only III is the proper course of action.


Which information is sufficient to answer the question?

• Has Smith ever won an award for literature?

• A. Smith won the only award existed during his time

• B. During smith’s time, writing was looked down upon let alone merit an award.


Solution

• Both the statements are not sufficient to answer the question.


Which is an appropriate course of action?

• Every year, at the beginning or at the end of the monsoons we have some cases of conjectivities, but this year,it seems to be a major epidemic witnessed after nearly four years.

Courses of action:• I. Precautionary measures should be taken

after four years to check this epidemic.• II. People should be advised to drink boiled

water


Solution

• Both the course of actions are appropriate and should be immediately taken up.


Which is the most logical idea?

• If an ant were as big as a horse, could it move mountains?

• No. A giant ant . . . . . (select from a,b,c,d)• (a) Would be a structural failure.• (b) Would never be able to move

mountains.• (c) Would be a mere curiosity.• (d) Would never be able to hunt for food.


Solution

• A giant Ant would not be able to move mountains because it is just a curoisity (we are not sure about what could it do). Other options are not logical – as logically we cannot say that it is structural failure or it cannot hunt for food or it cannot move mountains.


Puzzle test…• Nine cricket fans are watching a match in a

stadium. Seated in one row, they are J, K, L, M, N, 0, P, Q and R. L is at the right of M and at third place at the right of N. K is at one end of the row. Q is immediately next to 0 and P. 0 is at the third place at the left of K. J is right next to left of 0.

• Who is sitting in the centre of the row?• (a)L (b)O• (c)J (d)Q


Solution …

• NRMLJOPQK• J IS IN THE CENTRE


A and B start walking in opposite directions. A covers 3 km and B

covers 4 km. Then A turns right and walks 4 km while B turns left and walks 3 km. How far is each from

the starting point?• A is 3 KM in one direction and 4 KM in

right. Applying pythogorus, we find that A is 5 KM from the starting point. Similarly B is also 5 KM from the starting point. Ans.


Ram walks 10 m south from his house, turns left and walks

25 m, again turns left and walks 40 m, then turns right and. walks 5 m

to reach to school. In which direction the schoolis from his house?

• Draw a map and get the answer = north-east.


In a class of 35 students Kiran is placed 7th from the bottom

whereas Sohan is placed 9th from the top. Mohan is placed exactly in between the two. What is Kiran’s

position from Mohan?

• 10th

• From 9th to the top and 7th to the bottom, we have 21 candidates (35-(6+8) ). Mohan is just in the centre. So from Mohan, Kiran is at 10th place. Answer.


A watch reads 4 If the minute hand points towards the East, in which

direction does the hour hand point?

• The hour hand is towards South West.


Puzzle

• Goti and I started walking towards each other from two places lOO m apart. After walking 30m, Goti turns left and goes lO m, then he turns right and goes 20m then turns right again and comes back to the road and starts walking. If we walk with the same speed, what is the distance between us at this point of time


Solution

• (Goti walks 70 meters in all), so I walk 70 meters towards Goti’s starting point and now I am 30 meters from that. Goti takes only 30+20 meters on the road. Thus Goti is 50 meters from my starting point. Thus there is a gap of 20 meters between me and Goti. Answer.


Sum of 1st to 30th terms of a series in arithmetic

progèssion is 150. if the first term is A, what is 30th term of the series?

• Sum = 30/2 (2a + (29)D) = 150• 2a + 29d =150*2/30 = or 29 D = 10 – 2A • 30th term = A + 29D• 29 D = 10 – 2A, putting the value, we get the answer

= 10 – A answer


Question on number system

• Convert 252 into binary system • 252 / 2 = 126 / 2 = 63/2 = 31/2 = 15/2 =

7/2 = 3/2 =1 (starting from last remainder to the first)

• 11111100 answer. • Convert it again to decimal system: • 1*2^7+1*2^6+1*2^5+1*2^4+1*2^3+1*2^2+

0*2^1+0*2^0 = 128+64+32+16+8+4 = 252


Multiply 12 to 13 ( note - both are octal numbers, your outcomes must

also be in octal numbers)?

• Let us first convert them into decimal numbers: 12= 1*8^1 + 2*8^0 =10

• 13 = 1*8^1 + 3*8^0 =11• Now multiply 10 to 11 = 110• Now convert it into octal number: • 110/8 = 13 / 8 • =156 • Test = now convert 156 to decimal number


Convert 156 (octal) to decimal number …..

• 1*8^2 + 5*8^1 + 6*8^0• =64+40+6• =110 answer.


Multiply 5 (base 16) to 12 (base 7) and get the outcome in binary?

• (5*16^0 ) * (1*7^1 +2*7^0) • 5 *9 = 45• 45/2 = 22/2 = 11/2 = 5/2 =2/2 1• =101101 answer.


78.8% of a common medicine for stomach-upsets is absolute alcohol;

3.3% of it is mentha oil; 0.07% spear mint oil; and 0.177%

chloroform. How much of each of these compounds is there in a pack

of 30 ml?solution

alchol = 23.6 ml, 1 ml of menthol oil and so. On.


What is the sum of cubes of the first 5 natural numbers?

• Formula • = [N (N+1)/2 ]^2• = [5*6 / 2 ]^2• =225 answer.


What is the sum of squares of the first 13 natural numbers?

• Formula• =[n(n+1)(2n+1) ] /6• =(13*14*27)/6• =819 answer.


In a Class of 80 pupils, the number of boys is three-fifths the number of girls. Determine the number of girls

in the class.

• Let the number of girls be X• X + 3/5X = 80• 8/5 X = 80• X = 80 *5/8• X = 50 (the number of girls is 50, boys are

30) answer.


The difference between two numbers is 30. On dividing the

greater by the smller the quotient is 3. Find the numbers.

• Let the smaller number be X. • 3X – X = 30• 2X =30; X = 15, • Thus 2 numbers are 15 and 45 answer.


Gunpowder contains 75% nitre and 10% sulphur. The rest of it is

charcoal. What is the amount of charcoal in 9 kg of gunpowder.

• Charcoal is (100 – 75 – 10) = 15% • 9 KG = 9000 Grams • 9000*15/100• =1350 grams answer.


Question on profit

• At what percentage alove the Cost price must an article be marked so as to gain 33% after allowing the customer a discount of 5%?

• (a) 48% (b) 43%• (c) 40% (d) 38%• (e) None of the above


Solution …

• Let the cost be 100• Final price being realised 133• It is after discount, so price before

discount (marked price) is : • 133*100/95 =140 , so 40 is the answer.


A vertical pole PO is standing at the centre 0 of a square ABCD. If AC

subtends an angle 90° at point P of the pole then the angle subtended

by a side of the squareat Pis

(a) 35° (b) 45°(c) 30° (d) 60°

(e) None of the above


Solution

• When diagonal (in a square) makes angle of 90 degree in a pyrimidical shape, then sides make angles of 60 degree. (rule).

• So answer is 60 degrees.


Find the per cent of pure gold in 22 carat gold, if 24 carat gold is cent

per cent pure gold.

• 22/24 *100• =91.67 % answer.


In the diagram the two circles pass through each other’s centre. If the radius of each circle is 2, what is

the perimeter of the region marked B?


Solution

• Permieter of one circle is 2/3 now because, it is being cut by other circle.

• Thus 2/3 + 2/3 of perimeters added : • 2 * 2/3 * (formula of perimeter = 2pi *r)• =(8 * pi * r) /3 answer.


What is angle C?


Solution

• Angle O is double the angle A. Thus it is 100 degree. Thus C is (180 -100)/2 = 40 degrees answer.


What is angle a?


Solution • Angles from D and C are equal . • 180 – 60 – 37 – x• =83 – x• Let us sum up for two angles: • (180+180 ) = 360• 83-x + 83 – x + 180+2X = 360• 2Y +2X = 180 let us assume Y = 53 • 2X = 72 or X = 36 answer (solve by options,

so angle A = 53 ) answer.


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Management Aptitude Test 11 Nov Ii

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Transcript of Management Aptitude Test 11 Nov Ii