# Fonantrix Online Test - Mca

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Quizzes Created: 2 | Total Attempts: 260
Questions: 230 | Attempts: 182

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• 1.

### The sum of the ages of Neelima and her father is 62 years. After four years, the age of the father will be four times that of the Neelima.Then the difference between their ages is

• A.

30

• B.

34

• C.

42

• D.

41

C. 42
Explanation
NA

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• 2.

### The sum of the ages of Neelima and her father is 62 years. After four years, the age of the father will be four times that of the Neelima.Then the difference between their ages is

• A.

30

• B.

34

• C.

42

• D.

41

C. 42
Explanation
NA

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• 3.

### The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum ofÂ Â  their ages was 56. Find their present ages (in years).

• A.

8, 20, 28

• B.

16, 28, 36

• C.

20, 35, 45

• D.

None Of These

B. 16, 28, 36
Explanation
The present ages of the three persons are in the ratio 4:7:9. Let's assume the common ratio is x. Therefore, the ages can be represented as 4x, 7x, and 9x.
Eight years ago, their ages would be (4x-8), (7x-8), and (9x-8).
According to the given information, the sum of their ages eight years ago was 56.
So, (4x-8) + (7x-8) + (9x-8) = 56.
Simplifying the equation, we get 20x = 80, which implies x = 4.
Substituting x=4 in the ages, we get 4x=16, 7x=28, and 9x=36.
Therefore, their present ages are 16, 28, and 36.

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• 4.

### The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum ofÂ Â  their ages was 56. Find their present ages (in years).

• A.

8, 20, 28

• B.

16, 28, 36

• C.

20, 35, 45

• D.

None Of These

B. 16, 28, 36
Explanation
The present ages of the three persons are in the ratio 4:7:9. Let's assume the common ratio is x. Therefore, the present ages are 4x, 7x, and 9x. Eight years ago, their ages would have been (4x-8), (7x-8), and (9x-8) respectively. The sum of their ages eight years ago was 56, so (4x-8) + (7x-8) + (9x-8) = 56. Solving this equation, we get x = 4. Therefore, the present ages are 4(4)=16, 7(4)=28, and 9(4)=36.

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• 5.

### The sum of the ages of Neelima and her father is 62 years. After four years, the age of the father will be four times that of the Neelima.Then the difference between their ages is

• A.

30

• B.

34

• C.

42

• D.

41

C. 42
Explanation
NA

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• 6.

### A batsman has a certain average of runs for 25 innings. In the next innings, he scores 156 runs thereby increasing his average by 2 runs. His new average isÂ

• A.

100 runs

• B.

102 runs

• C.

104 runs

• D.

106 runs

D. 106 runs
Explanation
In order to increase his average by 2 runs, the batsman must have scored a total of 2 * 26 = 52 runs in the 26th inning. Therefore, his average after 26 innings would be (25 * average + 52) / 26. Given that his average after 25 innings is x, we can set up the equation (25 * x + 52) / 26 = x + 2. Solving this equation, we find x = 104. Therefore, the new average after 26 innings is 104 + 2 = 106 runs.

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• 7.

### A man spends Rs. 750 on an average during first 8 months. During the next 4 months he spends Rs. 680 per month. He took loan of Rs. 320 during the year and paid Rs. 600 for LIC premium. Find his monthly average income?

• A.

Rs. 650

• B.

Rs. 750

• C.

Rs. 850

• D.

Rs. 900

B. Rs. 750
Explanation
The man spends a total of Rs. 750 x 8 = Rs. 6000 during the first 8 months.
During the next 4 months, he spends a total of Rs. 680 x 4 = Rs. 2720.
He also took a loan of Rs. 320 and paid Rs. 600 for LIC premium.
So, his total expenses for the year are Rs. 6000 + Rs. 2720 + Rs. 320 + Rs. 600 = Rs. 9640.
Since his monthly average expenses are Rs. 9640 / 12 = Rs. 803.33, his monthly average income must be higher than this amount. Therefore, the correct answer is Rs. 850.

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• 8.

### The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum ofÂ Â  their ages was 56. Find their present ages (in years).

• A.

8, 20, 28

• B.

16, 28, 36

• C.

20, 35, 45

• D.

None Of These

B. 16, 28, 36
Explanation
Let's assume the present ages of the three persons are 4x, 7x, and 9x. Eight years ago, their ages would have been (4x-8), (7x-8), and (9x-8) respectively. According to the given information, the sum of their ages eight years ago was 56. So we can write the equation (4x-8) + (7x-8) + (9x-8) = 56. Simplifying this equation, we get 20x = 80, which means x = 4. Substituting this value in the assumed present ages, we get 4x = 16, 7x = 28, and 9x = 36. Therefore, the correct answer is 16, 28, 36.

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• 9.

### Susan can type 10 pages in 5 minutes. Mary can type 5 pages in 10 minutes. Working together, how many pages can they type in 30 minutes?

• A.

15

• B.

20

• C.

25

• D.

75

D. 75
Explanation
Susan can type 2 pages per minute (10 pages in 5 minutes) and Mary can type 0.5 pages per minute (5 pages in 10 minutes). Together, they can type 2.5 pages per minute (2 + 0.5). In 30 minutes, they can type 75 pages (2.5 pages/minute x 30 minutes).

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• 10.

### Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

• A.

648

• B.

1800

• C.

2700

• D.

10800

B. 1800
Explanation
If 6 identical machines can produce 270 bottles per minute, then each machine can produce 270/6 = 45 bottles per minute. Therefore, in 4 minutes, each machine can produce 45 * 4 = 180 bottles. Since there are 10 machines, the total number of bottles produced in 4 minutes by 10 machines is 180 * 10 = 1800.

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• 11.

### 1 monkey takes 3 min to eat 1 banana. How much time will 10 monkeys take to eat 10 bananas?

• A.

3 minutes

• B.

30 minutes

• C.

33 minutes

• D.

None Of These

A. 3 minutes
Explanation
Each monkey takes 3 minutes to eat 1 banana. Since there are 10 monkeys and 10 bananas, each monkey can eat 1 banana in 3 minutes. Therefore, it will still take 3 minutes for the 10 monkeys to eat the 10 bananas.

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• 12.

### A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?

• A.

20 hours

• B.

25 hours

• C.

35 hours

• D.

None Of These

C. 35 hours
Explanation
Pipe C is twice as fast as B, and B is twice as fast as A. This means that if A takes x hours to fill the tank, then B will take x/2 hours and C will take x/2 * 2 = x hours. Since all three pipes are working together to fill the tank in 5 hours, their combined rate is 1/5 of the tank per hour. Therefore, the equation can be set up as 1/x + 1/(x/2) + 1/x = 1/5. Solving this equation gives x = 35 hours, which means that pipe A alone will take 35 hours to fill the tank.

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• 13.

### Vishal goes to a shop to buy a radio costing Rs 2568. The rate of sales tax is 7%. He tells the shopkeeper to reduce the price of the radio to such an extent that he has to pay Rs 2568, inclusive of all sales tax. Find the reduction needed in the price of the radio.

• A.

Rs 168

• B.

Rs 169

• C.

Rs 170

• D.

Rs 172

A. Rs 168
Explanation
The reduction needed in the price of the radio is Rs 168. This can be calculated by finding 7% of the original price of the radio (Rs 2568) and subtracting it from the original price. 7% of Rs 2568 is Rs 179.76, and subtracting this from Rs 2568 gives us Rs 2388.24. However, Vishal wants to pay Rs 2568 inclusive of all sales tax, so he needs a further reduction of Rs 179.76. Subtracting this from Rs 2388.24 gives us Rs 2208.48. Therefore, the reduction needed in the price of the radio is Rs 168.

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• 14.

### Each side of a rectangle is increased by 100% .By what percentage does the area increase?

• A.

200

• B.

300

• C.

250

• D.

350

B. 300
Explanation
When each side of a rectangle is increased by 100%, it means that both the length and width of the rectangle are doubled. The area of a rectangle is calculated by multiplying the length and width. Since both the length and width are doubled, the area will be multiplied by 2 * 2 = 4. This means that the area will increase by 400%. However, the question asks for the percentage increase, so we subtract the original area (100%) from the increased area (400%) to get the percentage increase, which is 400% - 100% = 300%. Therefore, the correct answer is 300.

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• 15.

• A.

652

• B.

547

• C.

425

• D.

356

C. 425
• 16.

### 6 parallerl lines are intersected by 5 other parallel lines. The total number of parallelogram formed is

• A.

130

• B.

150

• C.

170

• D.

190

B. 150
Explanation
When 6 parallel lines are intersected by 5 other parallel lines, it creates a grid-like pattern with multiple rectangles. Each rectangle can be considered as a parallelogram. To count the number of parallelograms, we need to count the number of rectangles formed. There are 6 lines on one side of the rectangle and 5 lines on the other side, so the total number of rectangles is 6 x 5 = 30. However, each rectangle can be counted in two different ways (horizontally or vertically), so we need to multiply 30 by 2 to get the total number of parallelograms. Therefore, the correct answer is 30 x 2 = 60.

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• 17.

### Find the number of ways in which one or more letter be selected from the letters AAAABBCCCDEF.

• A.

479

• B.

480

• C.

958

• D.

960

A. 479
Explanation
The given question asks for the number of ways to select one or more letters from the given set of letters. To find the number of ways, we can consider each letter individually. The letter 'A' appears 4 times, so we have 2 choices for each 'A' (either select it or not). Similarly, the letter 'B' appears 2 times, so we have 3 choices for each 'B'. The letter 'C' appears 3 times, so we have 4 choices for each 'C'. The letter 'D' appears 1 time, so we have 5 choices for 'D'. The letter 'E' appears 1 time, so we have 6 choices for 'E'. Finally, the letter 'F' appears 1 time, so we have 7 choices for 'F'. Multiplying all these choices together, we get 2 * 2 * 2 * 2 * 3 * 3 * 3 * 4 * 4 * 4 * 5 * 6 * 7 = 479, which is the correct answer.

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• 18.

### How many permutations of 3 different digits are there, chosen from the ten digits 0 to 9 inclusive?

• A.

84

• B.

120

• C.

720

• D.

504

C. 720
Explanation
There are 10 choices for the first digit, 9 choices for the second digit (since it cannot be the same as the first), and 8 choices for the third digit (since it cannot be the same as the first or second). Therefore, the total number of permutations is 10 x 9 x 8 = 720.

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• 19.

### A motorboat, whose speed is 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. the speed of the stream (in km/hr) is:

• A.

4

• B.

5

• C.

6

• D.

10

B. 5
Explanation
Let's assume the speed of the stream is x km/hr. When the motorboat is going downstream, its effective speed is (15 + x) km/hr. The time taken to go downstream is 30/(15 + x) hours. When the motorboat is coming back upstream, its effective speed is (15 - x) km/hr. The time taken to come back is 30/(15 - x) hours. The total time taken is 4 hours 30 minutes, which is equal to 4.5 hours. So, we have the equation 30/(15 + x) + 30/(15 - x) = 4.5. Solving this equation, we find x = 5 km/hr, which is the speed of the stream.

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• 20.

### In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:

• A.

3 km/hr

• B.

5 km/hr

• C.

8 km/hr

• D.

9 km/hr

C. 8 km/hr
Explanation
The speed of the boat in still water can be found by taking the average of the speed of the boat along the stream and against the stream. In this case, the boat goes 11 km/hr along the stream and 5 km/hr against the stream. The average of these two speeds is (11 + 5) / 2 = 8 km/hr. Therefore, the speed of the boat in still water is 8 km/hr.

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• 21.

### If a boat is moving in upstream with velocity of 14 km/hr and goes downstream with a velocity of 40 km/hr, then what is the speed of the stream ?

• A.

13 km/hr

• B.

26 km/hr

• C.

34 km/hr

• D.

None Of These

A. 13 km/hr
Explanation
The speed of the stream can be calculated by finding the difference between the boat's velocity when moving upstream and downstream. The boat's velocity when moving upstream is 14 km/hr, while its velocity when moving downstream is 40 km/hr. The difference between these two velocities is 40 - 14 = 26 km/hr. Therefore, the speed of the stream is 26 km/hr.

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• 22.

### A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 mph, the speed of the stream is:

• A.

2

• B.

2.5

• C.

3

• D.

4

A. 2
Explanation
The boat's speed in still water is 10 mph, which means it can travel 10 miles in one hour. Let's assume the speed of the stream is x mph. When the boat is traveling downstream, the stream helps it move faster, so the effective speed is 10 + x mph. When the boat is traveling upstream, the stream opposes its motion, so the effective speed is 10 - x mph. The time taken to travel 36 miles downstream is therefore 36 / (10 + x) hours, and the time taken to travel the same distance upstream is 36 / (10 - x) hours. The difference in time is given as 90 minutes, or 1.5 hours. Setting up the equation: 36 / (10 + x) - 36 / (10 - x) = 1.5. Solving this equation, we find that x = 2. Therefore, the speed of the stream is 2 mph.

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• 23.

### A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:

• A.

45 km/hr

• B.

50 km/hr

• C.

54 km/hr

• D.

55 km/hr

B. 50 km/hr
Explanation
The man is running in the same direction as the train, so his effective speed relative to the train is the difference between their speeds, which is 5 km/hr. In 10 seconds, the train covers a distance equal to its own length plus the distance covered by the man. The distance covered by the man in 10 seconds is (5 km/hr) * (10/3600 hr/sec) * (1000 m/km) * (10 sec) = 139 m. Therefore, the total distance covered by the train in 10 seconds is 125 m + 139 m = 264 m. The speed of the train is the distance covered divided by the time taken, which is (264 m)/(10 sec) = 26.4 m/s = (26.4 m/s) * (3600 sec/hr) * (1 km/1000 m) = 95.04 km/hr, which is closest to 50 km/hr.

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• 24.

### A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

• A.

120 m

• B.

240 m

• C.

300 m

• D.

None Of These

B. 240 m
Explanation
The train takes 36 seconds to pass the platform and 20 seconds to pass the man. This means that the man's length is subtracted from the total length of the train and platform. The difference in time is 16 seconds, which is the time it takes for the train to pass the platform. We can use the formula speed = distance/time to find the length of the train. Converting the speed from km/hr to m/s, we get 54 km/hr = 15 m/s. Therefore, the length of the train is 15 * 16 = 240 meters.

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• 25.

### Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?

• A.

24

• B.

27

• C.

40

• D.

Cannot be determined

• E.

None Of These

A. 24
Explanation
The ratio of Sameer's age to Anand's age is 5:4. This means that for every 5 years Sameer ages, Anand ages 4 years.
Three years from now, the ratio of their ages will be 11:9. This means that for every 11 years Sameer ages, Anand ages 9 years.
By comparing the two ratios, we can see that the difference in their ages remains constant. This means that the age difference between Sameer and Anand will always be 1 year.
If Sameer's present age is a multiple of 5 (since the ratio is 5:4), then Anand's present age will be that multiple minus 1.
In this case, if Sameer's present age is 20, then Anand's present age will be 19.
Therefore, Anand's present age could be 24.

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• 26.

### A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:

• A.

14 years

• B.

19 years

• C.

33 years

• D.

38 years

A. 14 years
Explanation
At the time of the son's birth, the father was the same age as the son is now. Since the father is currently 38 years old, this means the son is also 38 years old. Therefore, five years ago, the son's age would have been 38 - 5 = 33 years.

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• 27.

### Ayisha's age is 1/6th of her father's age. Ayisha 's father's age will be twice the age of Shankar's age after 10 years. If Shankar's eight birthdays was celebrated two years before, then what is Ayisha 's present age.

• A.

10 years

• B.

12 years

• C.

8 years

• D.

5 years

D. 5 years
Explanation
Ayisha's age is 1/6th of her father's age. If we let Ayisha's age be x and her father's age be 6x, we can see that Ayisha's father's age will be 6x + 10 after 10 years. It is given that Ayisha's father's age will be twice Shankar's age after 10 years. If Shankar's age is y, then 6x + 10 = 2(y + 2). Simplifying this equation, we get 6x + 10 = 2y + 4. Since Ayisha's age is x, which is 5, the answer is 5 years.

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• 28.

### Look at this series: 2, 1, (1/2), (1/4), ... What number should come next?

• A.

(1/3)

• B.

(1/8)

• C.

(2/8)

• D.

(1/16)

B. (1/8)
Explanation
The given series follows a pattern where each term is obtained by dividing the previous term by 2. Starting with 2, the next term is 1, then (1/2), (1/4), and so on. Therefore, the next term should be obtained by dividing (1/4) by 2, which gives (1/8).

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• 29.

### Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next?

• A.

7

• B.

10

• C.

12

• D.

13

B. 10
Explanation
The series alternates between adding 3 and subtracting 2. Starting with 7, we add 3 to get 10. Then we subtract 2 to get 8. Continuing this pattern, we add 3 to get 11, subtract 2 to get 9, and so on. Therefore, the next number in the series should be obtained by adding 3 to the previous number, which is 9. Hence, the number that should come next is 12.

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• 30.

### Look at this series: 22, 21, 23, 22, 24, 23, ... What number should come next?

• A.

22

• B.

24

• C.

25

• D.

26

C. 25
Explanation
The series alternates between subtracting 1 and adding 2. Starting with 22, we subtract 1 to get 21, then add 2 to get 23, and so on. Therefore, the next number in the series should be 25, as we would subtract 1 from 24.

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• 31.

### Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?

• A.

12

• B.

14

• C.

27

• D.

53

B. 14
Explanation
The given series alternates between two numbers, 53 and 40, and then 40 and 27. Each number is repeated twice before moving on to the next number. Following this pattern, the next number should be 14, as it is the next number in the sequence after 27 and it will be repeated twice before moving on to the next number.

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• 32.

### Based on the following statements, which is the correct conclusion drawn. Only gentlemen can become members of the club. Many of the members of the club are officers. Some of the officers have been invited for dinner.

• A.

All the members of the club have been invited for dinner

• B.

Some of the officers are not gentlemen

• C.

All gentlemen are members of the club

• D.

Only gentlemen have been invited for dinner

C. All gentlemen are members of the club
Explanation
The correct conclusion drawn is "All gentlemen are members of the club." This can be inferred from the statement "Only gentlemen can become members of the club." Since the club only allows gentlemen to be members, it can be concluded that all members of the club are gentlemen.

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• 33.

### In a family there are husband wife, two sons and two daughters. All the ladies were invited to a dinner. Both sons went out to play. Husband did not return from office. Who was at home?

• A.

Only wife was at home

• B.

Â All ladies were at home

• C.

Only sons were at home

• D.

No body was at home

D. No body was at home
Explanation
Based on the information given, it is stated that the husband did not return from the office and both sons went out to play. Therefore, no one was at home.

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• 34.

### There are five books A, B, C, D and E placed on a table. If A is placed below E, C is placed above D, B is placed below A and D is placed above E, then which of the following books touches the surface of the table ?

• A.

C

• B.

B

• C.

A

• D.

E

B. B
Explanation
Based on the given information, the book B is placed below A, which means it is directly touching the surface of the table. Therefore, the correct answer is B.

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• 35.

### Blueberries cost more than strawberries.Blueberries cost less than raspberries.Raspberries cost more than both strawberries and blueberries.If the first two statements are true, the third statement is

• A.

True

• B.

False

• C.

Uncertain

A. True
Explanation
Based on the given information, we can deduce that raspberries are the most expensive, followed by blueberries, and then strawberries. Therefore, if blueberries cost more than strawberries and raspberries cost more than both strawberries and blueberries, it is true that raspberries cost more than both strawberries and blueberries. Hence, the third statement is true.

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• 36.

### All the trees in the park are flowering trees.Some of the trees in the park are dogwoods.All dogwoods in the park are flowering trees.If the first two statements are true, the third statement is

• A.

True

• B.

False

• C.

Uncertain

A. True
Explanation
The third statement is true because it logically follows from the first two statements. If all the trees in the park are flowering trees and some of the trees in the park are dogwoods, then it is true that all dogwoods in the park are flowering trees. This is because if a tree is a dogwood and it is in the park, it must also be a flowering tree according to the first two statements.

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• 37.

### What will be the next valueFAG, GAF, HAI, IAH, ____

• A.

JAK

• B.

HAL

• C.

HAK

• D.

JAI

A. JAK
Explanation
The pattern in the given sequence is that the first and last letters in each group are in alphabetical order, while the middle letter is the same as the first letter in the next group. Following this pattern, the next group should start with the letter 'J' and end with the letter 'K', resulting in the answer JAK.

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• 38.

### Senators from urban areas are very concerned about assuring that there will be funding for a new international airport. Senators from rural areas refuse to fund anything until money for agricultural subsidies is appropriated. If the legislature funds these two programs, on which of the following could they spend the rest of the money?

• A.

The school music program and national radio

• B.

Hurricane preparedness

• C.

Harbor improvements and the school music program

• D.

• E.

National radio and senate office building remodeling

A. The school music program and national radio
Explanation
The legislature could spend the rest of the money on the school music program and national radio because these options are not conflicting with the concerns of senators from urban and rural areas. There is no mention of any opposition or specific concerns related to these programs, so they can be considered as viable options for funding.

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• 39.

### If the legislature decides to fund the agricultural subsidy program, national radio, and the small business loan program, what two other programs could they fund?

• A.

Harbor improvements and international airport

• B.

Harbor improvements and school music program

• C.

Hurricane preparedness and school music program

• D.

Hurricane preparedness and international airport

• E.

Harbor improvements and hurricane preparedness

B. Harbor improvements and school music program
Explanation
The given answer states that if the legislature decides to fund the agricultural subsidy program, national radio, and the small business loan program, they could also fund harbor improvements and a school music program. This implies that these two programs are compatible with the other programs mentioned and can be funded together.

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• 40.

### Class A has a higher enrollment than Class B.Class C has a lower enrollment than Class B.Class A has a lower enrollment than Class C.If the first two statements are true, the third statement is

• A.

True

• B.

False

• C.

Uncertain

B. False
Explanation
If Class A has a higher enrollment than Class B, and Class C has a lower enrollment than Class B, it is not possible for Class A to have a lower enrollment than Class C. Therefore, the third statement is false.

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• 41.

### Joe is younger than Kathy.Mark was born after Joe.Kathy is older than Mark.If the first two statements are true, the third statement is

• A.

True

• B.

False

• C.

Uncertain

A. True
Explanation
Based on the given statements, we can infer that Joe is younger than Kathy and Mark was born after Joe. Since Kathy is older than Mark, it implies that Mark is the youngest among the three. Therefore, the third statement, which states that Kathy is older than Mark, is true.

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• 42.

### The temperature on Monday was lower than on Tuesday.The temperature on Wednesday was lower than on Tuesday.The temperature on Monday was higher than on Wednesday.If the first two statements are true, the third statement is

• A.

True

• B.

False

• C.

Uncertain

C. Uncertain
Explanation
Based on the given information, we can determine that the temperature on Monday was lower than on Tuesday, and the temperature on Wednesday was lower than on Tuesday. However, the relationship between the temperature on Monday and Wednesday is not specified. It is possible that the temperature on Monday was higher than on Wednesday, but it could also be lower or the same. Therefore, we cannot determine the truth value of the third statement based on the given information, making the answer uncertain.

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• 43.

### A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is:

• A.

5.15 kmph

• B.

4.14 kmph

• C.

4.25 kmph

• D.

4.4 kmph

B. 4.14 kmpH
Explanation
In this question, we are given that A runs at a speed of 5 kmph and gives B a head start of 8 meters. Despite this, A still beats B by 8 seconds. To find the speed of B, we can first calculate the time taken by A to cover the 100 meters. We know that time = distance/speed, so the time taken by A is 100/5 = 20 seconds. Since A beats B by 8 seconds, the time taken by B is 20 + 8 = 28 seconds. Now, to find the speed of B, we can use the formula speed = distance/time. The distance covered by B is 100 meters, and the time taken is 28 seconds. Therefore, the speed of B is 100/28 = 3.57 m/s, which is approximately equal to 4.14 kmph.

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• 44.

### At a game of billiards, A can give B 15 points in 60 and A can give C to 20 points in 60. How many points can B give C in a game of 90?

• A.

30 points

• B.

20 points

• C.

10 points

• D.

12 points

C. 10 points
Explanation
In the given scenario, A can give B 15 points in 60, and A can give C 20 points in 60. This means that in a game of 60, B is 15 points behind A, and C is 20 points behind A. To find out how many points B can give C in a game of 90, we need to calculate the difference in their scores after 60 points. Since B is 15 points behind A and C is 20 points behind A, the difference between B and C would be 20 - 15 = 5 points. Therefore, B can give C 5 points in a game of 30.

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• 45.

### Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

• A.

648

• B.

1800

• C.

2700

• D.

10800

B. 1800
Explanation
The question states that 6 identical machines can produce a total of 270 bottles per minute. This means that each machine produces 270/6 = 45 bottles per minute. Therefore, in 4 minutes, each machine would produce 45 * 4 = 180 bottles. Since there are 10 machines, the total number of bottles produced in 4 minutes would be 180 * 10 = 1800 bottles.

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• 46.

### 39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?

• A.

10

• B.

13

• C.

14

• D.

15

B. 13
Explanation
If 39 persons can repair a road in 12 days, working 5 hours a day, it means that the total work requires 39 * 12 * 5 = 2340 person-hours. Now, we need to find out how many days will 30 persons, working 6 hours a day, complete the work. This means they will work a total of 30 * 6 = 180 hours. To find the number of days, we divide the total work (2340 person-hours) by the work done per day (180 hours), which gives us 2340 / 180 = 13 days. Therefore, 30 persons, working 6 hours a day, will complete the work in 13 days.

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• 47.

### Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q's age?

• A.

1 year

• B.

2 years

• C.

25 years

• D.

• E.

None of these

• 48.

### A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?

• A.

3

• B.

4

• C.

5

• D.

6

C. 5
Explanation
To find the number of toffees the vendor must sell to gain 20%, we need to calculate the selling price per toffee. The vendor buys 6 toffees for a rupee, so the cost price per toffee is 1/6 of a rupee. To gain 20% profit, the selling price per toffee should be 1/6 + 20% of 1/6. Simplifying this, we get 1/6 + 1/30, which is equal to 5/30 or 1/6 of a rupee. To find how many toffees the vendor must sell to gain 1 rupee, we divide 1 by 1/6, which is equal to 6. Therefore, the vendor must sell 5 toffees for a rupee to gain 20%.

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• 49.

### A is the mother of B and C. If D is the husband of C. What is A to D

• A.

Mother

• B.

Sister

• C.

Aunt

• D.

Mother-in-law

D. Mother-in-law
Explanation
Since A is the mother of B and C, and D is the husband of C, A becomes the mother-in-law of D.

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• 50.

### There are six persons A, B, C, D , E and F. C is the sister of F. B is the brother of E's husband. D is the father of A and grandfather of F. There are two fathers, three brothers and a mother in the group. Which of the following is a group of brothers ?

• A.

ABD

• B.

ABF

• C.

BFC

• D.

BDF

B. ABF
Explanation
The group of brothers is ABF. According to the given information, B is the brother of E's husband, and D is the father of A and grandfather of F. Since A and F are related as father and grandfather, and B is the brother of E's husband, it can be concluded that A, B, and F are brothers.

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• Mar 21, 2023
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• Nov 17, 2015
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