2014 CSAT QUESTIONS WITH EXPLANATIONS
Directions for the following 4 (four) items:
The following graph shows the average profit of two fruit-sellers A and B in thousands (Rs.) per year from the year 1995 to 2000.
Consider the graph and answer the 4 (four) items that follow:
1. In which year is the average profit of A and B the same?
(a) 1995
(b) 1996
(c) 1997
(d) 1998
Solution: b
2. What is the difference between the average profit of B and A in the year 1998?
(a) - Rs. 100
(b) - Rs. 1,000
(c) + Rs. 600
(d) - Rs. 300
Solution: c
3. How much more average profit did A make in the year 2000 than in the year 1999?
(a) Rs. 200
(b) Rs. 1,000
(c) Rs. 1,500
(d) Rs. 2,000
Solution: d
4. What is the trend of the average profit of B from the year 1997 to the year 2000?
a.Non-increasing
b.Non -decreasing
c.Steady
d.Fluctuating
Solution: b
The following table shows the marks obtained by two students in different subjects:
5. The difference in the mean aggregate percentage marks of the students is
(a) 2.5%
(b) 13.75%
(c) 1.25%
(d) Zero
Solution: d
6. Examine the following figure:
Which one of the following figures has the above figure embedded in it?
(a) (b) (c) (d)
Solution: c
7. Consider the following matrix:
Which one of the following figures fits into the blank part of the above matrix?
(a)
(b)
(c)
(d)
Solution: b
8. The following table gives population and total income of a city for four years:
Which one of the following statements is correct in respect of the above data ?
(a)Population increased by 5% or more every year.
(b)Income increased by 10% or more every year.
(c)Per capita income was always above 5,000.
(d)Per capita income was highest in 1994.
Solution: c
9. Consider the table given below in which the numbers bear certain relationship among themselves along the rows:
Which one of the following numbers is the missing number indicated above by X ?
a.19
b.15
c.14
d.8
Solution:b
First row : (29 - 13) + 2 = 18
Second row : (33 - 15) + 1 = 19
Third row : (30 - 27) + 0 = 3
10. Consider the following matrix with one empty block in the lower extreme corner:
Which of the following figures could fit in the empty block and thus complete the matrix?
A B C D
Solution: a
11. With reference to the figure given below number of different routes from S to T without retracing from U and/or V (T is the next node after V), is
a.3
b.6
c.9
d.18
Solution: d
12. Consider the following figures:
Change in positions of beads in the figures above follows a sequence. Following the same sequence, which of the figures should appear as the fifth figure above?
Solution: b
13. A bell rings every 18 minutes. A second bell rings every 24 minutes. A third bell rings every 32 minutes. If all the three bells ring at the same time at 8 o'clock in the morning, at what other time will they all ring together?
a.12 : 40 hrs
b.12 : 48 hrs
c.12 : 56 hrs
d.13 : 04 hrs
Solution: b
The three bells will ring together again after a time interval which is a common multiple of 18, 24, and 32 minutes.
The least common multiple of 18, 24, and 32 is 288 minutes.
This means that all three bells will ring together every 288 minutes, or 4 hours and 48 minutes. Therefore, the next time that all three bells will ring together is at 12:48 hrs.
14."Price is not the same thing as value. Suppose that on a day the price of everything viz., coal, bread, postage stamps, a day's labor, the rent of houses, etc. were to double. Prices then would certainly rise, but- values of all things except one would not."
The writer wants to say that if prices of all things were doubled
a.the values of all things would remain constant.
b.the values of the things sold would be doubled.
c.the values of the things bought would be halved.
d.the value of money only would be halved.
Solution: d
The correct answer is (d).
If the price of everything doubled, the value of money would be halved. This is because the value of money is determined by its purchasing power, and if prices doubled, the purchasing power of money would be halved.
15. A and B decide to travel from place X to place Y by bus. A has Rs. 10 with him and he finds that it is 80% of the bus fare for two persons. B finds that he has Rs. 3 with him and hands it over to A.
In this context, which one of the following statements is correct?
a.Now the money A has just enough to buy two tickets.
b.A still needs Rs. 2 for buying the tickets
c.After buying the two tickets A will be left with 50 paise.
d.The money A now has is still not sufficient to buy two tickets.
Solution: c
Let's calculate the total bus fare for two persons using the information provided:
We are given that A has Rs. 10, which is 80% of the total fare for two persons. Let's represent the total fare as F.
80% of F = Rs. 10
0.8F = 10
F = 10 / 0.8
F = 12.5
So, the total fare for two persons is Rs. 12.5.
Now, B gives Rs. 3 to A, so A has a total of Rs. 10 + Rs. 3 = Rs. 13.
This is enough to buy two tickets and A will be left with Rs. 0.50.
16. As per agreement with a bank, a businessman had to refund a loan in some equal installments without interest. After paying 18 installments he found that 60 percent of his loan was refunded. How many installments were there in the agreement?
a.22
b.24
c.30
d.33
Solution: c
The correct answer is (c) 30.
Let the total number of installments be x.
We know that 18 installments represent 60% of the loan,
so 18/x = 60/100.
Solving for x, we get x=30.
17. A worker reaches his factory 3 minutes late if his speed from his house to the factory is 5 km/hr. If he walks at a speed of 6 km/hr then he reaches the factory 7 minutes early the distance of the factory from his house is
a.3 km
b.4 km
c.5 km
d.6 km
Solution: c
Let x be the distance from the house to the factory.
If the worker walks at 5 km/hr, he is 3 minutes late. This means that the actual time to reach the factory is x/5 hours + 3/60 hours.
If the worker walks at 6 km/hr, he is 7 minutes early. This means that the actual time to reach the factory is x/6 hours - 7/60 hours.
Since the distance is the same in both cases, we can set the two expressions for the time equal to each other and solve for x.
x/5 + 3/60 = x/6 - 7/60
12x + 3 = 10x - 7
2x = 10
x = 5 km
Therefore, the distance from the house to the factory is 5 km.
18."Liberty, therefore, is never real unless the Government can be called to account when it invades rights."
Which one of the following is the best justification of the above statement?
a.In the realization that the government can be brought to book in a court of law
b.In identifying a man as a political unit in a way which distinguishes him from other citizens
c.In a decentralized society wherein the basic needs of men can find satisfaction
d.In the understanding that liberty and, restraints are complementary
Solution: a
Liberty can only be real if the government can be held accountable when it violates rights. This means that the government must be subject to the rule of law and that citizens must have access to justice. If the government is not accountable, then it can violate rights with impunity, and liberty is meaningless.
19. Five persons fire bullets at a target at an interval of 6, 7, 8, 9 and 12 seconds respectively. The number of times they would fire the bullets together at the target in an hour is
a.6
b.7
c.8
d.9
Solution: b
The least common multiple of 6, 7, 8, 9, and 12 is 504
This means that all five persons will fire bullets together every 505 seconds
Therefore, the number of times they would fire the bullets together at the target in an hour is 60*60/504 = 7.
20. A group of 630 children is seated in rows for a group photo session. Each row contains three less children than the row in front of it. Which one of the following number of rows is not possible?
a.3
b.4
c.5
d.6
solution:d
Let the number of children in the first row be x. Then the second row has x-3 children, the third row has x-6 children, and so on.
The total number of children can be found by summing the number of children in each row. Since there are 630 children in total, we have:
x + (x-3) + (x-6) + ... = 630
This is an arithmetic series with a first term of x and a common difference of -3. The sum of an arithmetic series can be found using the formula:
Sn = (n/2) * (2a + (n-1)d)
where Sn is the sum of the first n terms, a is the first term, and d is the common difference.
In this case, we want to find the number of rows, which is the value of n. We can rearrange the formula to solve for n:
n = (2(Sn - a) / d) + 1
Plugging in the values we know, we get:
n = (2(630 - x) / (-3)) + 1
Simplifying, we get:
n = (x - 625) / 3
Since we want to find which number of rows is not possible, we need to check which values of n are not integers.
Therefore, the answer is (d) 6.
21. There are seven persons up on a ladder, A, B, C, D, E, F and G (not in that order). A is further up than E but is lower than C. B is in the middle. G is between A and B. E is between B and F. If F is between E and D, the person on the bottom step of the ladder will be
a.B
b.F
c.D
d.E
Solution: c
Let's analyze the given information step by step to determine the person on the bottom step of the ladder.
A is further up than E but is lower than C.
From this information, we can conclude the following:
- C is above A and E.
- A is below C.
- E is below C.
- B is in the middle.
This means B is between two other persons.
G is between A and B.
From this information, we can conclude the following:
- G is above A and below B.
- E is between B and F.
- From this information, we can conclude the following:
- E is above F.
- F is below E and above B.
- F is between E and D.
From this information, we can conclude the following:
- F is above D.
- D is below F.
Based on the given information, we can create the following order from top to bottom:
C > A > G > B > E > F > D
Therefore, the person on the bottom step of the ladder is D.
The correct option is (c) D.
22. Consider that:
A is taller than B.
C is taller than A.
D is taller than C.
E is the tallest of all.
If they are made to sit in the above order of their height, who will occupy the mid position?
a.A
b.B
c.C
d.D
Solution: c
If they are made to sit in the above order of their height, the order would be:
E > D > C > A > B
Since there are 5 people, the middle position would be the third position. Therefore, C will occupy the middle position.
23. Consider the following statements: There are six villages A, B, C, D, E and F.
F is 1 km to the west of D.
B is 1 km to the east of E.
A is 2 km to the north of E.
C is 1 km to the east of A.
D is 1 km to the south of A.
Which three villages are in a line?
a).A, C, B
b).A, D, E
c).C, B, F
d).E, B, D
Solution: b
We can draw a diagram to represent the locations of the villages:
A---D---E
|
F
|
B
|
C
From the diagram, we can see that A, D, and E are in a line.
24. Four children are sitting in a row. A is occupying the seat next to B but not next to C. If C is not sitting next to D, who is/are occupying seat/seats adjacent to D?
a)B
b)A
c)B and A
d)Impossible to tell
Solution: b
The correct answer is (b) A.
Based on the given information, we know that A is sitting next to B but not next to C. Additionally, C is not sitting next to D.
Since A is sitting next to B, it means that B is either on the left side or right side of A.
Since C is not sitting next to D, it means that D is sitting either on the left side or right side of C.
Considering these two conditions, the only possibility is that A is sitting on one side of D. Therefore, the seat adjacent to D is occupied by A.
25. Assume that
2. the clock shows a time between 8 o'clock and 9 o'clock.
3. the two hands of the clock are one above the other.
After how many minutes (nearest integer) with the two hands will be again lying one above the other?
a.60
b.62
c.65
d.67
Solution: c
When the minute hand travels for 60 minutes, the hour hand only travels for 5 minutes. The relative speed between them is 60 - 5 = 55 minutes.
To determine the time it takes for the two hands to be again lying one above the other, we divide 60 minutes (a full hour) by the relative speed of 55 minutes:
Time = 60 minutes / 55 minutes = 1.09 hours
Converting 1.09 hours to minutes:
1.09 hours * 60 minutes/hour = 65.4 minutes
Therefore, the correct option is (c) 65, as the two hands will be again lying one above the other after approximately 65 minutes.
26. If the 3rd day of a month is Monday, which one of the following will be the fifth day from 21st of this month?
a.Monday
b.Tuesday
c.Wednesday
d.Friday
Solution: c
If the 3rd day of a month is Monday, then the 10th, 17th, and 24th days of the month are also Mondays. This means that the 21st day of the month is Friday. The fifth day from the 21st is Wednesday.
27. For a charity show, the total tickets sold were 420. Half of these tickets were sold at the rate of Rs. 5 each, one-third at the rate of Rs. 3 each and the rest for Rs. 2 each. What was the total amount received?
(a) Rs. 90
(b) Rs. 1,540
(c) Rs. 1,610
(d) Rs. 2,000
Solution: c
The answer is: c. Rs. 1,610.
Half of the tickets were sold at the rate of Rs. 5 each, which is 420 / 2 = 210 tickets. The revenue from these tickets is 210 * 5 = Rs. 1,050.
One-third of the tickets were sold at the rate of Rs. 3 each, which is 420 / 3 = 140 tickets. The revenue from these tickets is 140 * 3 = Rs. 420.
The remaining tickets were sold for Rs. 2 each. There are 420 - 210 - 140 = 70 remaining tickets. The revenue from these tickets is 70 * 2 = Rs. 140.
The total revenue from all the tickets is Rs. 1,050 + Rs. 420 + Rs. 140 = Rs. 1,610.
Directions for the following 3 (three) items: Read the passage given below and answer the items that follow.
28. A, B, C, D, E, F are members of a family. They are engineer, stenographer, doctor, draftsman, lawyer and judge (not in order). A, the engineer is married to the lady stenographer.
The judge is married to the lawyer.
F, the draftsman is the son of B and brother of E.
C, the lawyer is the daughter in- law of D.
E is the unmarried doctor.
D is the grandmother of F.
There are two married couples in the family
What is the profession of B?
a.Judge
b.Lawyer
c.Draughtsman
d.Cannot be determined
Solution: a
The answer is: a. Judge.
We know that A is the engineer, C is the lawyer, E is the doctor, and F is the draftsman. We also know that A is married to the stenographer, the judge is married to the lawyer, and C is the daughter-in-law of D.
This means that the possible professions for B are judge and stenographer. However, we know that there are only two married couples in the family, and A and the stenographer are one of the couples. This means that B cannot be the stenographer, so B must be the judge.
29. Which of the following is/are couple/couples?
a.AD only
b.BC only
c.Both AD and BC
d.Both AC and BD
Solution: c
We know that A is the engineer, C is the lawyer, D is the lady stenographer, E is the doctor, F is the draftsman, and B is the judge. We also know that A is married to the lady stenographer, the judge is married to the lawyer, and C is the daughter-in-law of D.
This means that the possible couples are AD and BC.
30. What is the profession of D?
a.Judge
b.Stenographer
c.Doctor
d.Cannot be determined
Solution: b
We know that A is the engineer, C is the lawyer, E is the doctor, F is the draftsman, and B is the judge. We also know that A is married to the stenographer, the judge is married to the lawyer, and C is the daughter-in-law of D.
This means that the possible professions for D are stenographer and doctor. However, we know that E is the unmarried doctor. This means that D cannot be the doctor, so D must be the stenographer.
31. A question paper must have a question on one of the eight poets: A, B, C, D, E, F, G or H. The first four belong to the medieval period while the rest are considered modern poets Generally, modern poets figure in the question paper in alternate years. Generally those who like H like G also; and those who like F like E also. The paper-setter does not like to ask about F as he has written a book on F, but he likes F. Last year, the paper contained a question on A.
On the basis of the information given, this year's paper is most likely to contain a question on
a.C
b.E
c.F
d.H
Solution: b
The correct answer is (b) E.
We are told that modern poets figure in the question paper in alternate years. Last year, the paper contained a question on A, who is a medieval poet. Therefore, this year's paper is most likely to contain a question on a modern poet.
We are also told that those who like H like G also, and those who like F like E also. This means that there is a correlation between liking H and liking G, and between liking F and liking E. However, we are not told anything about the paper-setter's preferences for H or G. Therefore, we cannot say whether the paper-setter is more likely to ask a question on H or G.
Finally, we are told that the paper-setter does not like to ask about F as he has written a book on F. This means that the paper-setter is less likely to ask a question on F than on any of the other poets.
Therefore, the paper-setter is most likely to ask a question on E, who is a modern poet and who is not correlated with any of the other poets.
32. In a group of six women there are four dancers, four vocal musicians, one actress and three violinists. Girija and Vanaja are among the violinists while Jalaja and Shailaja do not know how to play on the violin. Shailaja and Tanuja are among the dancers. Jalaja, Vanaja, Shailaja and Tanuja are all vocal musicians and two of them are also violinists. If Pooja is an actress, who among the following is certainly a dancer and a violinist?
a.Jalaja
b.Pooja
c.Shailaja
d.Tanuja
Solution: d
We know that Tanuja is a dancer and that she is also a vocal musician. We also know that two of the vocal musicians are also violinists. Since Tanuja is a vocal musician, she could be one of the two vocal musicians who are also violinists. Therefore, Tanuja could be a dancer and a violinist.
We know that Jalaja is a vocal musician, but we do not know if she is a dancer or a violinist. We also know that Pooja is an actress, but we do not know if she is a dancer or a violinist. We know that Shailaja is a dancer, but we do not know if she is a vocal musician or a violinist.
Therefore, Tanuja is the only person who could be a dancer and a violinist.
33.The letters L, M, N, 0, P, Q, R, S and T in their order are substituted by nine integers 1 to 9 but not in that order. 4 is assigned to P. The difference between P and T is 5. The difference between N and T is 3. What is the integer assigned to N?
a.7
b.5
c.4
d.6
Solution: d
We know that P is assigned to 4, T is 5 more than P, and N is 3 less than T. This means that T is assigned to 9, and N is assigned to 6.
34.The number of deaths among the army personnel is 8 in 1000, but among the civilian population it is 20 per 1000. Which one of the following inferences can be drawn from this statement?
a.It is better to join the army.
b.The relationship is fortuitous.
c.Quality of Life Index is very high within the armed forces.
d.The groups cannot be compared due to their heterogeneity.
Solution: d
The groups cannot be compared due to their heterogeneity. The army personnel are a group of people who have been selected for their physical fitness and mental toughness. They are also trained to deal with dangerous situations. The civilian population is a much more diverse group of people, with a wider range of ages, health conditions, and lifestyles. It is therefore not possible to draw any conclusions about the quality of life in the army or the civilian population based on the death rates alone.
35.Given the statement: "Buses are the cause of more accidents than cars, and trucks cause fewer accidents than buses", which of the following conclusions can we draw?
a.There are more buses on the road than trucks.
b.Car drivers are more careful than bus drivers.
c.Truck drivers are more skilled than either car or bus drivers.
d.None of the above
Solution: d
The statement "Buses are the cause of more accidents than cars, and trucks cause fewer accidents than buses" only tells us about the number of accidents caused by each type of vehicle. It does not tell us anything about the number of vehicles on the road, the skill level of the drivers, or any other factors that could contribute to the number of accidents. Therefore, we cannot draw any conclusions about these factors from the statement.
36."If political leadership fails to emerge, there is a likelihood of the military taking over power in developing countries. Radical student groups or labour may try to raise revolution but they are not likely to compete with the military. Military intervention, rule, and withdrawal from politics is closely related to a society's level of political development."
In the context of political development, the assumption in the above passage is that
a.Political leadership is not an effective instrument.
b.The military fills in the political vacuum.
c.military intervention is inevitable for development.
d.None of the above
Solution: b
The passage states that "If political leadership fails to emerge, there is a likelihood of the military taking over power in developing countries." This suggests that the military is seen as a potential replacement for political leadership in times of crisis or instability. The passage also states that "Radical student groups or labour may try to raise revolution but they are not likely to compete with the military." This suggests that the military is seen as a more powerful force than other groups that may try to take power.
37. Four persons, Alok, Bhupesh, Chander and Dinesh have a total of Rs. 100 among themselves. Alok and Bhupesh between them have as much money as Chander and Dinesh between them, but Alok has more money than Bhupesh; and Chander has only half the money that Dinesh has. Alok has in fact Rs. 5 more than Dinesh has.
Who has the maximum amount of money?
a.Alok
b.Bhupesh
c.Chander
d.Dinesh
Solution: a
The answer is a. Alok.
Let's assign variables to each person's money:
Alok = a
Bhupesh = b
Chander = c
Dinesh = d
We know that a + b + c + d = 100
We also know that a + b = c + d
a > b
c = d/2
a = d + 5
Substituting the second equation into the first equation, we get:
2d = 100
d = 50
Substituting the third equation into the fourth equation, we get:
a = 50 + 5 = 55
Substituting the value of d into the second equation, we get:
55 + b = 50 + 50
b = 45
Therefore, Alok has the maximum amount of money, with Rs. 55.
38. Examine the following statements:
1.George attends Music classes on Monday.
2.He attends Mathematics classes on Wednesday.
3.His Literature classes are not on Friday.
4.He attends History classes on the day following the day of his Mathematics classes.
5.On Tuesday, he attends his Sports classes.
If he attends just one subject in a day and his Sunday is free, then he is also free on
a.Monday
b.Thursday
c.Saturday
d.Friday
Solution: d
We know that George attends Music classes on Monday, Mathematics classes on Wednesday, History classes on Thursday, and Sports classes on Tuesday. His Literature classes are not on Friday, so they must be on Monday, Tuesday, Wednesday, or Saturday. His Sunday is free.
This means that George is busy on Monday, Tuesday, Wednesday, Thursday, and Saturday. He is only free on Friday and Sunday.
39. In a row 'A' is in the 11th position from the left and 'B' is in the 10th position from the right. If 'A' and 'B' interchange, then 'A' becomes 18th from the left. How many persons are there in the row other than 'A' and 'B'?
a.27
b.26
c.25
d.24
Solution: c
In a row 'A' is in the 11th position from the left and 'B' is in the 10th position from the right. If 'A' and 'B' interchange, then 'A' becomes 18th from the left.
This means that there are 17 people to the left of B and 9 people to the right of A.
There are a total of 27 people in the row.
Now, 27 - 2 = 25 (A and B are eliminated) so there are 25 persons in row other than A and B.
40. Location of B is north of A and location of C is east of A. The distances AB and AC are 5 km and 12 km respectively. The shortest distance (in km) between the locations B and C is
a.60
b.13
c.17
d.7
Solution: b
The locations B and C form a right triangle with A as the right angle. The hypotenuse of this triangle is the shortest distance between B and C.
The Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is BC, and the other two sides are AB and AC.
We know that AB = 5 km and AC = 12 km. Substituting these values into the Pythagorean theorem, we get:
BC^2 = 5^2 + 12^2 = 25 + 144 = 169
Taking the square root of both sides, we get:
BC = sqrt(169) = 13
Therefore, the shortest distance between B and C is 13 km.
41.Two cars start towards each other, from two places A and B which are at a distance of 160 km. They start at the same time at 08 : 10 AM. If the speeds of the cars are 50 km and 30 km per hour respectively, they will meet each other at
(a) 10 : 10 AM
(b) 10 : 30 AM
(c) 11 : 10 AM
(d) 11 : 20 AM
Solution: a
The cars are moving towards each other, so their relative speed is 50 + 30 = 80 km/hr.
The distance between them is 160 km, so they will meet in 160 / 80 = 2 hours.
They start at 8:10 AM, so they will meet at 10:10 AM.
42. A gardener increased the area of his rectangular garden by increasing its length by 40% and decreasing its width by 20%. The area of the new garden
a.has increased by 20%.
b.has increased by 12%.
c.has increased by 8%.
d.is exactly the same as the old area.
Solution: b
Let's say the original length of the garden is 100 meters and the original width is 50 meters.
The original area would then be 100 meters * 50 meters = 5000 square meters.
After the increase, the new length is 140 meters and the new width is 40 meters.
The new area is 140 meters * 40 meters = 5600 square meters.
The increase in area is 5600 square meters - 5000 square meters = 600 square meters.
The percentage increase is 600 square meters / 5000 square meters = 0.12 = 12%.
- B and C
- E and F
- C and E
- C and F
Solution: b
We know that books B, C, E, and F have green covers, while books A, D, and B are new.
This means that books E and F are old.
We also know that books A, B, and C are law reports, while the rest are medical extracts. This means that books E and F are medical extracts.
Therefore, books E and F are old medical extracts with green covers.
a.10
b.12
c.14
d.16
Solution: b
From each end, the first point is at a distance of 1 cm from the end, the second point is at a distance of 2 cm from the first point and the third point is at a distance of 3 cm from the second point and so on. So, the points marked on the line from both the end points are:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16
The points on the ends are not counted, so the points 1 and 16 are not counted. The common points are counted as one, so the points 8 and 9 are counted as one. This leaves 12 points.
45.If Sohan, while selling two goats at the same price, makes a profit of 10% on one goat and suffers a loss of 10% on the other
a.he makes no profit and no loss.
b.he makes a profit of 1%.
c.he suffers a loss of 1%.
d.he suffers a loss of 2%.
Solution: c
Let's assume that the cost price of each goat is Rs. 100.
Sohan makes a profit of 10% on one goat, so he sells it for Rs. 110.
He suffers a loss of 10% on the other goat, so he sells it for Rs. 90.
The total selling price of the two goats is Rs. 200.
The total cost price of the two goats is Rs. 200.
Therefore, Sohan suffers a loss of Rs. 2.
This is a loss of 1%.
46.Out of a total of 120 musicians in a club, 5% can play all the three instruments, guitar, violin and flute. It so happens that the number of musicians who can play any and only two of the above instruments is 30. The number of musicians who can play guitar alone is 40.
What is the total number of those who can play violin alone or flute alone?
a.45
b.44
c.38
d.30
Solution: b
The total number of musicians is 120.
5% of them can play all three instruments, so 6 musicians can play all three instruments.
30 musicians can play any two of the three instruments.
40 musicians can play the guitar alone.
To find the number of musicians who can play the violin or flute alone, we can subtract the number of musicians who can play all three instruments, the number of musicians who can play any two of the three instruments, and the number of musicians who can play the guitar alone from the total number of musicians.
120 - 6 - 30 - 40 = 44
Therefore, the total number of musicians who can play the violin or flute alone is 44.
47. Six identical cards are placed on a table. Each card has number '1' marked on one side and the number '2' marked on its other side. All the six cards are placed in such a manner that the number '1' is on the upper side. In one try, exactly four (neither more nor less) cards are turned upside down.
In how many Ieast numbers of tries can the cards be turned upside down such that all the six cards show number '2' on the up the per side?
a.3
b.5
c.7
d.This cannot be achieved
Solution: a
In the first try, turn over four cards. In the second try, turn over the four cards that were not turned over in the first try. In the third try, turn over the four cards that were turned over in the first try. This will result in all six cards showing the number '2' on the upper side.
