KRISHNA MOHAN

Monday, 24 July 2017

Reasoning Quiz

Directions (1-5): Study the following arrangement carefully and answer the questions given below.

Eight people – A, B, C, D, E, F, G and H are sitting around a circular table facing the centre, but not necessarily in the same order.

All of them are at equidistant. Each one of them teaches different subjects viz., English, Hindi, Mathematics, -

Biology, Psychology, Physics, Chemistry and Accounts, but not necessarily in the same order.

The person who teaches Accounts, sits third to the right of G. C is an immediate neighbour of G.

The person who teaches Mathematics sits second to the left of C. B sits third to the right of H.

H teaches neither Accounts nor Mathematics. Only two persons sit between C and the person

who teaches Physics. A and F are immediate neighbours of each other. Neither A nor F teaches Accounts.

The person who teaches English sits second to the right of A. Two persons sit between D and the person who teaches Hindi.

D does not teach Accounts. The person who teaches Psychology is an immediate neighbour of the person who teaches Accounts.

The person who teaches Physics sits second to the left of A. One of the immediate neighbours of G teaches Chemistry.

1. Who among the following teaches Chemistry?

(1) A

(2) H

(3) D

(4) G

(5) None of these

2. What is the position of B with respect to the person who teaches Psychology?

(1) Second to the left

(2) Third to the right

(3) Third to the left

(4) Second to the right

(5) None of these

3. Who among the following sits exactly between the person who teaches Biology and the person who teaches Physics?

(1) The person who teaches Mathematics

(2) E

(3) The person who teaches Accounts

(4) Cannot be determined

(5) There is no such person

4. Which of the following subjects does E teach?

(1) Chemistry

(2) Hindi

(3) Accounts

(4) English

(5) None of these

5. Which of the following statements is true with regard to the given sitting arrangement?

(1) The person who teaches Hindi is an immediate neighbour of both H and D.

(2) One of the immediate neighbours of F teaches Biology

(3) E is sitting exactly between B and the person who teaches Mathematics

(4) The person who teaches Chemistry is second to the right of E

(5) All are true

6. Four of the following five are alike in a certain way based on the given sitting arrangement and hence form a group. Which is the one that does not belong to the group?

(1) CF

(2) GA

(3) BD

(4) EH

(5) BA

Directions (7-10): A word and number arrangement machine when given an input line of words and numbers rearranges them following a particular rule.

The following is an illustration of input and rearrangement.

Input: 11 day 34 night 93 pace 27 easy 44 joy

Step I: 93 11 day 34 night pace 27 easy 44 joy

Step II: 93 11 34 night pace 27 easy 44 joy day

Step III: 93 44 11 34 night pace 27 easy joy day

Step IV: 93 44 11 34 night pace 27 joy day easy

Step V: 93 44 34 11 night pace 27 joy day easy

Step VI: 93 44 34 11 night pace 27 day easy joy

Step VII: 93 44 34 27 11 night pace day easy joy

Step VIII: 93 44 34 27 11 pace day easy joy night

Step IX: 93 44 34 27 11 day easy joy night pace

Step IX is the last step of the above input

As per rules followed in the above steps, find out in each of the following questions the appropriate step for the given input.

Input: class 25 war 15 race 73 heap 58 just 88 take 38

7. What is the position of ‘war’ in Step VII?

(1) Seventh from the left end

(2) Eighth from the right end

(3) Fifth from the left end

(4) Fifth from the right end

(5) Sixth from the left end

8. Which of the following is the ninth from the right in Step VI?

(1) race

(2) 25

(3) war

(4) 58

(5) 15

9. What is the position of ‘15’ in step ‘IX’?

(1) Seventh from the left end

(2) Eighth from the left end

(3) Fifth from the right end

(4) Seventh from the right end

(5) Eighth from the right end

10. How many steps are required to complete this arrangement?

(1) Eleven

(2) Twelve

(3) Ten

(4) Nine

(5) None of These

11. Which of the following represents the Step X?

(1) 88 73 58 38 25 war 15 race take class heap just

(2) 88 73 58 38 25 15 class heap just race take war

(3) 88 73 58 38 25 15 war class heap just race take

(4) 88 73 58 38 25 15 war take class heap just race

(5) There is no such step

ANSWERS

1. (2)

2. (4)

3. (1)

4. (3)

5. (2)

6. (5)

In the first step the highest number is placed at the extreme left position and in second step the word which comes first in the alphabetical order is placed-

at the extreme right position. In the next step the second highest number is placed at the second position from the left. After that step the word which comes second -

in the alphabetical order is placed at the extreme right position. These two steps are continued alternatively till all numbers and words are arranged.

Input: class 25 war 15 race 73 heap 58 just 88 take 38

Step I: 88 class 25 war 15 race 73 heap 58 just take 38

Step II: 88 25 war 15 race 73 heap 58 just take 38 class

Step III: 88 73 25 war 15 race heap 58 just take 38 class

Step IV: 88 73 25 war 15 race 58 just take 38 class heap

Step V: 88 73 58 25 war 15 race just take 38 class heap

Step VI: 88 73 58 25 war 15 race take 38 class heap just

Step VII: 88 73 58 38 25 war 15 race take class heap just

Step VIII: 88 73 58 38 25 war 15 take class heap just race

Step IX: 88 73 58 38 25 15 war take class heap just race

Step X: 88 73 58 38 25 15 war class heap just race take

Step X: 88 73 58 38 25 15 class heap just race take war

7. (5)

8. (2)

9. (4)

10. (1)

11. (3)

Reasoning Quiz - Part I

Directions (1-5): These questions are based on the following five statements. For each question, two conclusions numbered I and II are given.

You have to take the given statements to be true even if they seem to be at variance with commonly known facts.

Read all the conclusions and then decided which of the given conclusions logically and definitely follows from the -
given statements disregarding commonly known facts. Give answer

(1) If only conclusion I follows.

(2) If only conclusion II follows.

(3) If either conclusion I or conclusion II follows

(4) If neither conclusion I nor conclusion II follows

(5) If both conclusions I and II follow.

Statements for (1-3):

All fathers are brothers.

Some daughters are not brothers.

Some mothers are daughters.

All sisters are brothers.

No father is a mother.

1. Conclusion

I. Some daughters if they are brothers are necessarily not mothers.

II. Some mothers are not sisters.

2. Conclusion

I. All brothers if they are mothers are also necessarily fathers.

II. Some brothers that are not mothers are also not sisters.

3. Conclusion

I. Some daughters are not fathers.

II. Some daughters that are not sisters can be mothers.

Statements for (4-5):

All employees are owners.

No owner is a wager.

Some employees are not managers.

All managers are gatekeepers.

Some wagers are managers.

4. Conclusion

I. Some managers who are not wagers are employees.

II. Some wagers if th ey are not gatekeepers are also not employees.

5. Conclusion

I. Some gatekeepers are not wagers.

II. Some gatekeepers that are wagers are not owners.

Directions (6-8): In the following questions, the symbol @, ©, $, % and # are used with the following m-e-aning as illustrated below:

‘A$B’ means ‘A is not Smaller than B’

‘A#B’ means ‘A is not greater than B’

‘A@B’ means ‘A is neither smaller than nor equal to B’

‘A©B’ means ‘A is neither smaller than nor greater than B’

‘A%B’ means ‘A is neither greater than nor equal to B’

Now in each of the following questions assuming the given statement to be true, find which of the three conclusions-

I, II and III given below them is/are definitely true and give your answer accordingly.

6. Statements:

H % J

J © N

N @ R

Conclusions:

I. R % J

II. H @ J

III. N @ H

(1) only II is true .

(2) only I and III are true

(3) only I is true

(4) only III is true

(5) None of these

7. Statement:

M @ J

J $ T

T © N

Conclusion:

I. N # J

II. T % M

III. M @ N

(1) only I and II are true

(2) only II and III are true

(3) only I and III are true

(4) None is true

(5) All are true

8. Statement:

D © K

K # F

F @ P

Conclusion:

I. P @ D

II. K # P

III. F $ D

(1) only II is true

(2) only I and II are true

(3) only III is true

(4) only II and III are true

(5) None of these

9. An excerpt from economic survey report – “Sector-wise contribution in the GDP has seen a paradigm shift in the Indian economy.

The contribution of agriculture has been decreasing, while still it remains the single largest employment provider.”

Based on the above fact, it has been suggested that people should shift from agriculture to other sector, as it is no longer beneficial in terms of contribution in the GDP.

Which of the following statements would hold the above mentioned suggestion that people should shift from agriculture to other sectors in order to get benefit?

1) In 1951-52, the contribution of agriculture in the GDP of India was more than 55% but now it is reduced to approximately 15%.

2) Now-a-days people have become habitual with processed food which can be imported.

3) Agriculture is the largest employment provider and apart from food materials it also facilitates many other industrial activities.

4) Crop productivity in India is very low as compared to China, USA and Brazil.

5) None of these

ANSWERS

For (1-3):

1. (4)

2. (4)

3. (4)

For (4-5):

4. (2)

5. (2)

Solutions (6-8):

$ - ³

# - £

@ - >

% - <

6. (2):

Statement: H < J = N > R

Conclusions I. R < J (true)

II. H > J (false)

III. N > H (true)

7. (5):

Statement: M > J ≥ T = N

Conclusions I. N ≤ J (true)

II. T < M (true)

III. M > N (true)

8. (3):

Statement: D = K ≤ F > P

Conclusion I. P > D (false)

II. K < P (false)

III. F ≥ D (true)

9. (3)

Reasoning Quiz

Directions (1-5): Each of the questions below consists of a question and three statements numbered I, II and III given below it.

You have to decide whether the data provided in the statements are sufficient to answer the questions and then mark the appropriate option as answer.

1. Amongst U, V, W, X, Y and Z, who earns highest salary?

I. Y earns more than Z but less than at least two persons.

II. X earns more than Y but less than U, who is not highest earner.

III. V earns more than Y but less than W.

Which of the following statements are sufficient to answer the above question ?

(A) I and II together are sufficient

(B) II and III together are sufficient

(D) All statements together are sufficient

(E) Even all statements together are not sufficient

2. Are all the five friends P, Q, R, S, and T, who are sitting around a circular table, facing the centre ?

I. S sits second to the left of Q, who is immediate to the left of P. T is immediate left of R, who faces centre. Q faces to the centre.

II. T sits second to the right of P, who is immediate to the left of R. Q is not near to T, who faces centre.

III. R sits immediate to the left of T, who faces centre. P sits second to the right of S but not near to R.

Which of the following statements are sufficient to answer the above question ?

(A) Either I or II alone

(B) Either II or III alone

(D) Any one of the statements

(E) None of the statements

3. Point M is in which direction with respect to point X ?

I. Point R is to the north of point X. Point L is to the south of point M. Point L is to the south of point X.

II. Point T is to the east of point J, which is to the south of point X. Point P is to the north of point M, point P is to the west of point T.

III. Point N is to the south of point 0, which is to the east of point X, point M is to the east of point N.

Which of the following statements are sufficient to answer the above question ?

(A) Either I or II alone

(B) Either II or III

(D) Only II

(E) Only III

4. There are seven letters M, U, E, S, R, A and N. Is the word 'SUR-NAME' formed after performing the following operations using these seven letters only ?

I. A is placed third to the right of U. M is placed second to the right of N. While the last letter of the word is not M.

II. S is placed third to the left of N while R is placed immediately next (either left or right) to U.

III. E is placed second to the right of A. S is not placed near to E or N.

Which of the following statements are sufficient to answer the above question ?

(A) I and II both together

(B) I and III both together

(D) All statements together

(E) Even all statements together are not sufficient

5. Out of 6 colours of Caps Red. Orange, Green, White Black and Pink, which colour of Cap Q likes ?

(A person's name should not be the same with the first letter of the Cap that he likes. Six persons (M, N, 0, P, Q and R) like 6 different Caps each like one Cap)

I. P does not like Black Cap but the person who likes Red Cap is not Q or M.

II. 0 likes white Cap while N likes either Green or Orange Cap. R likes either Green or Black.

III. Q does not like Black while M likes either Black or Orange.

Which of the following statements are sufficient to answer the above question ?

(A) I and II together

(B) II and III both together

(D) Any two of the statements together

(E) All statements together are sufficient

Directions (6-10): Study the following arrangement carefully and answer the questions given below.

Six players A, B, C, D, E and F play four different games viz Tennis, Racing, Shooting, Riding and wear shirts of four different colours i.e. red, green, black and orange shirts.

C wears either red or green shirt. E does not play shooting and person who play riding does not wear red shirt; A neither wears green shirt nor plays riding.

Both of the racing players wear different colours of shirts but not wear orange shirt. F plays tennis; tennis player does not wear red shirt,

two players wear black shirts and one wears orange. One player is in shooting and wears green, D wears red shirt and tennis player does not wear black shirt.

E is in riding and wears black while A wears orange shirt. Not more than two players are in same game and wear same shirt.

6. Which of the following shirts is worn by two players?

(1) Black and Orange

(2) Red and Green

(3) Black and Red

(4) Green and Black

(5) None of these

7. Which colour of shirt is worn by the player, who plays shooting?

(1) Red

(2) Green

(3) Black

(4) Orange

(5) None of these

8. Which of the game played and shirt worn by B?

(1) Riding and Black

(2) Shooting and Green

(3) Racing and Black

(4) Tennis and Red

(5) None of these

9. Which of the following is the correct combination, according to the given data?

(1) E- Black- Racing

(2) F-Red-Tennis

(3) D- Green-Racing

(4) A-Orange-Tennis

(5) None of these

10. Which of the games played by the two players except Racing?

(1) Tennis

(2) Shooting

(3) Riding

(4) Tennis or Riding

(5) None of these

Solutions (1-5):
1. (4): From statement I, II and III together we can say that W is the highest earner.
2. (3)
3. (5)
4. (1)
5. (5)

Solutions (6-10):

6. (4)
7. (2)
8. (3)
9. (4)
10. (1)

Quant Quiz-Simple Interest

1.A sum of Rs. 1600 gives a simple interest of Rs. 252 in 2 years and 3 months.

The rate of interest per annum is:?

(a)51/2%

(b) 8%

(d) 6%

(e)none of these

2.A sum of Rs. 1750 is divided into two parts such that the interests on the first part at 8% simple interest per annum-

and that on the other part of 6% simple interest per annum are equal. The interest on each part (In rupees) is ?

(a) 60

(b) 65

(d) 40

(e)none of these

3.Rs. 500 was invested at 12% per annum simple interest and a certain sum of money invested at 10% per annum simple interest at.

If the sum of the interests on both the sums after 4 years is Rs. 480, the latter sum of money is?

(a Rs. 450

(b) Rs. 750

(d) Rs. 550

(e)none of these

4.A sum of money lent out at simple interest amounts of Rs. 720 after 2 years and to Rs. 1020 after a further period of 5 years. The sum is?

(a)Rs. 500

(b) Rs. 600

(d) Rs. 710

(e)none of these

5.In what time will Rs. 72 become Rs. 81 at 25/4% per annum simple interest?

(a2 years

(b) 3 years

(d) Can't determine

(e)None of these

6.The simple interest on a certain sum for 8 months at 4% per annum is Rs. 129 less than the simple interest on the same sum for 15 months at 5% per annum. The sum is:

(a) Rs. 2580

(b) Rs. 2400

(d) Rs. 3600

(e)None of these

7.A person deposited Rs. 400 for 2 years, Rs. 550 for 4 years and Rs. 1,200 for 6 years. He received the total simple interest of Rs. 1,020.

The rate of interest per annum is ?

(a)10%

(b) 5%

(d) 20%

(e)None of these

8.A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interest. The rate per annum is?

(a) 5 5/9%

(b) 6 5/9%

(d) 25%

(e)None of these

9.At what rate per cent per annum will the simple interest on a sum of money be 2/5 of the amount in 10 years?

(a) 4

(b) 6

(d) 62/3

(e)None of these

10.Simple interest on a certain sum for 6 years is 9/25 of the sum. The rate of interest is ?

(a) 6%

(b) 6 1/2%

(d) 8 1/2%

(e)None of these

Answers:

1.(c)
Principal, P = Rs. 1600
T = 2 year 3 months
= (2+3/12)yrs.=(2+1/4)yrs.= 9/4 yrs.
S.I = Rs. 252
R = % rate of interest per annum
R= (100×S.I.)/(P×t)
=(100×252)/(1600×9/4)
Rate of interest = 7% per annum.

2.(a)
Let first part = Rs. x and second part = Rs. (1750-x)
According to the question.
x×8/100=(1750-x)×6/100
8x + 6x = 1750 x 6
14x = 1750 x 6
x=(1750×6)/10=Rs.750
Interest = 8% of Rs. 750
= 750 × 8/100=Rs,750
= 750 × 8/100=Rs.60

3.(c)
Simple interest gained from Rs. 500
= (500×12×4)/100 = Rs. 240
Let the other Principal be Rs. x.
S.I. gained = Rs. (480 -240) = Rs. 240
(x×10×4)/100=240
x=(540×100)/40 = Rs. 600

4.(b)
Principal + SI for 2 years = Rs. 720 …..(i)
Principal + SI for 7 years = Rs. 1020 ….(ii)
Subtracting equation (i) from (ii) we get,
SI for 5 years
= Rs. (1020 -720) = Rs. 300
SI for 2 years = Rs. 300× 2/5= Rs. 120
Principal = Rs. 720- Rs. 120 = 600

5.(a)
Interest = Rs. (81-72) = Rs. 9
Let the time be t years.
9 = (72×25×t)/(4×100)
t=(9×400)/(72×25)=2 years

6.(d)
Let the sum be Rs. x
(x ×5 ×15)/(100 ×12)-(x ×4 ×8)/(100 ×12)=129
x/(100×12) (75-32)=129
x=(129×1200)/43= Rs. 3600

7.(a)
Let the rate of interest be R per cent per annum.
(400×2×R)/100+(550×4×R)/100+(1200×6×R)/100=1020
8R + 22R + 72R = 1020
102 R =1020
R = 1020/102=10%

8.(a)
Principal = P
Amount = 7p/6
S.I. = 7p/6-P=P/6
? R=(S.I×100)/(P×T)=(P×100)/(6×p×3)
= 50/9=5 5/9%

9.(a)

10.(a)
Rate = (SI ×100)/(Principal ×Time)
= 9/25×100/6=6% per annum

Quant quiz-Partnership

1.A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined them after six months with an amount equal to that of B.

In what proportion should the profit at the end of one year be distributed amount A, B and C?

A.3:7:5

B.6:10:5

C.6:10:7

D.6:7:5

E.none of these

2.Three partners A,B and C shared the profit in a software business in the ratio 5:7:8.

They had partnered for 14 months, 8 months and 7 months respectively. Find the ratio of their investments?

A.19:49:64

B.20:49:64

C.20:49:65

D.20:50:64

E.none of these

3.A starts business with Rs. 3500 and after 5 months, B joins with A as his partner.

After a year, the profit is divided in the ratio 2:3. What is B's contribution in the capital?

A.Rs 9000

B.Rs 7000

C.Rs 5000

D.Rs 4000

E.none of these

4.Dheeraj distributed his total assets to his wife,three sons,two daughters and five grandchildrens in such a way that each grand-child got one -eighth of each son or one -tenth of each daughter ,

his wife got 40% of the total share of his sons and daughters together.if each daughter recieved asset of worth Rs.1.25 lakh.What was the total worth of assets recieved by his wife and the three grandchildren together?

A.Rs.32500

B.Rs.257500

C.Rs.282500

D.Cannot be determined

E.none of these

5.Manoj received Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Ramesh earned at the end of one year.

If Manoj invested Rs.120000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesh?

A.Rs. 20000

B.Rs. 30000

C.Rs. 40000

D.Rs. 50000

E.none of these

6.Yogesh started a business investing Rs. 45000. After 3 months, Pranab joined him with a capital of Rs. 60000.

After another 6 months, Atul joined them with a capital of Rs. 90000. At the end of the year, they made a profit of Rs. 20000. What would be Atuls share in it?

A.Rs 7000

B.Rs 6000

C.Rs 5000

D.Rs 4000

E.none of these

7.In business, A and C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A and B was 3:2, If Rs 157300 was their profit, how much amount did B receive?

A.Rs 48000

B.Rs 47000

C.Rs 47400

D.Rs 48400

E.none of these

8.A and B entered into a partnership investing Rs. 16000 and Rs. 12000 respectively. After 3 months, A withdrew Rs. 5000 while B invested Rs. 5000 more.

After another 3 more months C joins the business with a capital of Rs. 21000. The share of B exceeds that of C, out of a total profit of Rs. 26400 after one year by?

A.Rs. 3200

B.Rs. 3400

C.Rs. 3600

D.Rs. 3800

E.none of these

9.A, B and C jointly thought of engaging themselves in a business venture.

It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which,

he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit?

A.Rs. 1900

B.Rs. 2660

C.Rs. 2800

D.Rs. 2840

E.none of these

10.Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs.. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months.

The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?

A.7 : 6 : 10

B.12 : 15 : 16

C.42 : 45 : 56

D.Cannot be determined

E.none of these

Next topic is Simple interest and Compound interest.

Answers:

1.(B)
Let initial investment of A is 3x and B is 5x, then C investment is also 5x, but most important to note in this question is the time duration of investment
Like, A invested for 12 months, B invested for 12 months and C invested for 6 months.
A:B:C =(3x*12):(5x*12):(5x*6)
= 36:60:30
= 6:10:5

2.(B)
Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively
Then, 14x : 8y : 7z = 5 : 7 : 8
Now, 14x/8y = 5/7
y = (49/20)x
14x/7z = 5/8
z = (16/5)x
x:y:z = x:(49/20)x:(16/5)x
20:49:64

3.(A)
Let B contribution is x.
(3500∗12)/7x=2/3
14x=126000
x=Rs9000

4.(B)
Share of one grandchild=1/10*1.25=Rs.0.125 lakh
Each son gets=8*0.125=Rs.1 lakh
Share of 3 sonns=Rs.3 lakhs
Share of 2 daughters=2*1.25=Rs.2.5 lakhs
Total shares of sons and daughters=Rs.5.5 lakhs
Wife's share=2/5*5.5=Rs.2.2 lakhs
Share of three grandchildren=3*0.125=Rs.0.375 lakhh
Required answer
=(2.2+0.375)lakh
Rs.2.575 lakhs
Rs.257500

5.(B)
Suppose Ramesh invested Rs. x. Then,
Manoj : Ramesh = 120000 * 6 : x *12.
720000/12x : 6000/3000
x = 30000

6.(D)
Just take care of the months of investment, rest all will be simple.
Yogesh:Pranab:Atul = 45000*12:60000*9:90000*3
= 2:2:1
Atul's share = Rs. 20000 * (1/5) = Rs. 4000

7.(D)
A:B = 3:2 = 6:4
A:C = 2:1 = 6:3
A:B:C = 6:4:3
B share = (4/13)*157300
= 48400

8.(C)
A:B: C = 16000*3 + 11000*9:12000*3 + 17000*9:21000*6
= 147:189:126 = 7:9:6
Difference of B and C's shares =
Rs. [26400 * (9/22)-26400 * (6/22))
= Rs. 3600

9.(B)
For managing, A received = 5% of Rs. 7400 = Rs. 370.
Balance = Rs. (7400 - 370) = Rs. 7030.
Ratio of their investments = (6500 x 6) : (8400 x 5) : (10000 x 3)
= 39000 : 42000 : 30000
= 13 : 14 : 10
B's share = Rs.(7030 x14/37)= Rs. 2660.

10.(B)
Aman : Rakhi : Sagar = (70,000 x 36) : (1,05,000 x 30) : (1,40,000 x 24) = 12 : 15 : 16.

Quant Quiz-Time and Work

1.Adam can do a job in 15 days, John can do the same job in 20 days.

If they work together for 4 days on this job. What fraction of job is incomplete ?

A.1/4

C.1/10

B.7/15

D.8/15

E. none of these

2. Ram takes 6 hours to type 32 pages. Shaam takes 5 hours to type 40 pages.

In how many hours they will type 110 pages together ?

A.7 hours

B.8 hours

C.8 hours 15 min

D.8 hours 30 mins7 hours

E. none of these

3.7 men take 12 days to complete a job. They worked for 5 days, after 5 days 2 men left the job.

In how many days 5 men will complete the job ?

A. 5 days

B. 7 days

C. 9 days

D.10 days

E. none of these

4.If A, B and C can do a job in 20, 30 and 60 days respectively.

In how many days A can do the work if B and C help him on every third day ?

A. 12 days

B. 15 days

C. 16 days

D. 18 days

E.none of these

5.A is twice as good as workman as B and together they finish a piece of work in 18 days.

In how many days will B alone finish the work?

A.27 days

B.54 days

C.56 days

D.68 days

E.none of these

6.A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes.

B alone can do the whole work in ?

A.15 days

B.10 days

C.9 days

D.8 days

E.none of these

7.4 men and 6 women finish a job in 8 days, while 3 men and 7 women finish it in 10 days.

In how many days will 10 women working together finish it ?

A.30 days

B.40 days

C.50 days

D.60 days

E.none of these

8.10 women can complete a work in 7 days and 10 children take 14 days to complete the work.

How many days will 5 women and 10 children take to complete the work?

A.6 days

B.7 days

C.8 days

D.9 days

E.none of these

9.5 men and 2 boys working together can do four times as much work as a man and a boy.

Working capacity of man and boy is in the ratio?

A.1:2

B.1:3

C.2:1

D.2:3

E.none of these

10.A work is done by three person A,B and C. A alone takes 10 hours to complete a single product but B and C working together takes 4 hours,

for the completion of the same product.If all of them worked together and completed 14 products, then how many hours have they worked?

A.20 hrs

B.28 hrs

C.40 hrs

D.54 hrs

E.none of these

Next topic is Partnership.

Answers:

1.(D)
Adam can do 1/15 of the job per day
John can do 1/20 of the job per day
If they work together they can do 7/60 of the work together
Remaining job 1 - 4*7/60 = 32/60 = 8/15

2.(C)
Ram can type 32/6 pages per hour
Shaam can type 8 pages per hourThey can type 32/6 + 8 = 40/3 pages per hour
So they will take 110/40 × 3 = 33/4 hours or 8 hours 15 minutes

3.(E)
7 men can do 1/12 of the job per day
So after 5 days they have completed 5/12th job. Still 7/12 part of the job is to be completed.
5 men can do 1/12 × 5/7 = 5/84 of the job per day
So they will take 7/12 × 84 /5 = 9 ⅘ days to complete the job

4.(B)
Efficiency of A = 1/20 = 5% per day
Efficiency of B = 1/30 = 3.33% per day
Efficiency of C = 1/60 = 1.66% per day
In three days A can do 15% of the job himself and B and C do 5% of the job ( 1.66% + 3.33% )
In three days they can do 20% of the job, to do 100% of the job, they need 3 × 5 = 15 days

5.(B)
As per question, A do twice the work as done by B.
So A:B = 2:1
Also (A+B) one day work = 1/18
To get days in which B will finish the work, lets calculate work done by B in 1 day =
=(1/18∗1/3)=1/54
[Please note we multiplied by 1/3 as per B share and total of ratio is 1/3]
So B will finish the work in 54 days

6.(A)
Ratio of times taken by A and B = 1:3
Means B will take 3 times which A will do in 1 time
If difference of time is 2 days, B takes 3 days
If difference of time is 10 days, B takes (3/2) * 10 =15 days

7.(B)
Let 1 man's 1 day work = x
and 1 woman's 1 days work = y.
Then, 4x + 6y = 1/8
and 3x+7y = 1/10
solving, we get y = 1/400 [means work done by a woman in 1 day]
10 women 1 day work = 10/400 = 1/40
10 women will finish the work in 40 days

8.(B)
1 woman's 1 day's work = 1/70
1 Child's 1 day's work = 1/140
5 Women and 10 children 1 day work =
(5/70+10/140)=1/7
So 5 women and 10 children will finish the work in 7 days.

9.(C)
Let 1 man 1 day work = x
1 boy 1 day work = y
then 5x + 2y = 4(x+y)
x = 2y
x/y = 2/1
x:y = 2:1

10.(C)
1/A=1/10 and
1/B+1/C=1/4 (Given)
1/A+1/B+1/C=1/4+1/10
=7/20
In 20 hours, working together they will complete 7 products.
Thus in 40 hours they will complete 14 products

Quant Quiz- Profit and Loss

1.Rohit bought paper sheets for Rs 7200 and spent Rs 200 on transport.

Paying Rs 600, he had 330 boxes made, which he sold at Rs 28 each. His profit percentage is ?

a.15.5

b.60

c.40 .

d.35

e.None of these

2.A producer of tea blends two varieties of tea from two tea gardens one costing Rs 18 per kg and another Rs 20 per kg in the ratio 5 : 3.

If he sells the blended variety at Rs 21 per kg, then his gain percent is?

a.10

b.19

c.12

d.22

e.None of these

3.If the cost price of 20 articles is equal to the selling price of 25 articles, what is the % profit or loss made by the merchant?

a.25% loss

b.25% profit

c.20% loss

d.20% profit

e.5% profit

4.Reshu bought 4 dozen oranges at Rs 12 per dozen and 2 dozen oranges at Rs 16 per dozen.

She soldthem all to earn 20% profit. At what price per dozen did he sell the oranges ?.

a.14.4

b.16.8

c.16

d.19.2

e.None of these

5.A bought a ratio st and spent Rs 110 on its repairs.

He then sold it to B at 20% profit,B sold it to C at a loss’ of 10 % and C sold it for Rs 1188 at a profit of 10 %. What is the amOunt for which A bought the radio set?

a.Rs 850

b.Rs 930

c.Rs 890

d.Rs 950

e.None of these

6.Rahim buys mangoes at the rate of 3 kg for Rs 21 and sells them at 5 kg for Rs 50. To earn Rs 102 as profit, he must sell?

a.26 kg

b.34 kg

c.32 kg

d.56 kg

e.None of these

7. Ram purchased 120 reams of paper at Rs 80 per ream. He spent Rs 280 on transportation, paid octroi at the rate of 40 paise per ream and paid Rs 72 to the coolie.

If he wants to have a gain of 8 %, what must be the selling price per ream?

a.90

b.89

c.87.48

d.86

e.None of these

8. Ajay bought 15 kg of dal at the rate of Rs 14.50 per kg and 10 kg at the rate of Rs 13 per kg. He mixed the two and sold the mixture at the rate of Rs 15 per kg. What was his total gain in this transaction ?

a.Rs 1.10

b.Rs 11

c.Rs 16.50

d.Rs 27.50

e.None of these

9.A horse and a cow were sold for Rs. 12000 each.

The horse was sold at a loss ot 20% and the cow at gain ot 20% 1 he entire transaction resulted in?

a.no loss or gain

b.gain of Rs. 1000

c.loss of Rs. 1000

d.gain of Rs. 2000

e.None of these

10.By selling 45 lemons for Rs 40, a man loses 20 %. How many should he sell for Rs 24 to gain. 20 % in the transaction ?

a.16

b.20

c.18

d.22

e.None of these

Next topic is Time and Work

Answers:

1.(a)
Total investment = Rs. (7200+200+ 600) Rs. 8000.
Total receipt Rs. (330 x 28) = Rs. 9240.
profit % = [1240/8000] * 100 = 15.5

2.(c)
Suppose he bought 5 kg and 3 kg of tea.
Cost Price = Rs. (5 x 18 + 3 x 20) = Rs. 150.
Sell price = Rs. (8 x 21) = Rs. 168.
profit % = (18/150) * 100 = 12%

3.(c)
Let the cost price of 1 article be $1.
Therefore, cost price of 20 articles = 20 * 1 = $20
The selling price of 25 articles = cost price of 20 articles = $20.
Now, we know the selling price of 25 articles. Let us find the cost price of 25 articles.
Cost price of 25 articles = 25 * 1 = $25.
Therefore, profit made on sale of 25 articles = Selling price of 25 articles - cost price of 25 articles
= 20 - 25 = -$5.
As the profit is in the negative, the merchant has made a loss of $5.
Therefore, % loss = loss/cp * 100
% loss = -5/25 * 100 = 20% loss.

4.(c)
Total CP = (12*4 + 16 *2) = 80
SP of 6 dozen oranges = [(120/100 )* 80)] = 96
sell price per dozen =16

5.(c)
110% of 9O% of 120% of A = 1188.
[(110/100)*(90/100)*(120/100)*A] = 1188 or A = 1188/1000
since A =1188 hence A = 100
A purchased it for Rs. (1000— 110) = Rs. 890.

6.(b)
rate of buying = 7; rate of selling = 10 to gain 3 Rs he must buy 1 kg
for 102 profit he must buy = (102/3) = 34

7.(a)
Total investment = Rs. (120 * 80 + 280 + (40/100) * 120 + 72).
= Rs. (9600 + 280+48 + 72) = Rs, 10000.
Sell price of 120 reams = 108% of Rs. 10000 = Rs. 10800.
Sell Price per ream = Rs. [10800/120] = Rs. 90.

8.(d)
Cost price of 25 kg = Rs. (15 x 14.50 + lOx 13) = Rs. 347.50.
Sell price of 25 kg = Rs. (25 x 15) = Rs. 375.
profit = Rs. (375 — 347.50) = Rs. 27.50.

9.(c)
Total S.P. Rs, 24000.
C.P. of horse =Rs. [(100/80) x 12000] = 15000.
C.P. of cow = Rs.[(100/120) x 12000] = 10000
Total C.P. = Rs. 25000.
Loss = Rs. (25000—24000) Rs 1000.

10.(c)
Let S.P. of 45 lemons is Rs. x.
80 : 40 = 120 : x or 80/40 = 120/x or x = 40 * 120 / 80 = 60
lemons sold For Rs. 60, = 45
lemons sold For Rs. 24, = (45/60) * 24= 18.

KRISHNA MOHAN

Pages

Monday, 24 July 2017

Reasoning Quiz

Reasoning Quiz

Reasoning Quiz

Reasoning Quiz

Reasoning Quiz - Part I

Reasoning Quiz - Part I

Reasoning Quiz

Reasoning Quiz

Quant Quiz-Simple Interest

Quant Quiz-Simple Interest

Quant quiz-Partnership

Quant quiz-Partnership

Quant Quiz-Time and Work

Quant Quiz-Time and Work

Quant Quiz- Profit and Loss

Quant Quiz- Profit and Loss

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