# Imperial Test : Mangalayatan University (General + Quantitative Aptitude And Logical Reasoning + English ) Set 60

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Questions: 60 | Attempts: 299

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• 16.

### The difference between a two digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?

• A.

4

• B.

9

• C.

3

• D.

Cannot be determined

• E.

None of these

A. 4
Explanation
Let's assume the two-digit number is represented as AB, where A is the tens digit and B is the units digit. The number obtained by interchanging the positions of its digits is represented as BA. According to the given information, AB - BA = 36. This can be simplified to 10A + B - (10B + A) = 36, which further simplifies to 9A - 9B = 36. Dividing both sides by 9 gives A - B = 4. Therefore, the difference between the two digits of the number is 4.

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• 17.

### By how much is two-fifth of 200 greater than three-fifth of 125?

• A.

15

• B.

3

• C.

5

• D.

30

• E.

None of these

C. 5
Explanation
Two-fifth of 200 is equal to (2/5) * 200 = 80. Three-fifth of 125 is equal to (3/5) * 125 = 75. The difference between 80 and 75 is 5. Therefore, two-fifth of 200 is greater than three-fifth of 125 by 5.

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• 18.

### The area of a rectangular field is 460 square metres. If the length is 15 percent more than the breadth, what is breadth of the rectangular field?

• A.

15 Meters

• B.

26 Meters

• C.

34.5 meters

• D.

Cannot be determined

• E.

None of these

E. None of these
Explanation
Since the area of the rectangular field is given as 460 square meters, we can use the formula for the area of a rectangle, which is length multiplied by breadth. Let's assume the breadth of the field is x meters. According to the given information, the length is 15% more than the breadth, which means the length is 1.15x meters. Therefore, the equation becomes x * 1.15x = 460. Simplifying this equation, we get 1.15x^2 = 460. Solving for x, we find that the breadth is approximately 17.39 meters. Therefore, the correct answer is None of these.

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• 19.

### Deepa brought a calculator with 30% discount on the listed price. Had she not got the discount, she would have paid Rs.82.50 extra. At what price did she buy the calculator?

• A.

Rs 192.50

• B.

Rs 275

• C.

Rs 117.85

• D.

Cannot be determined

• E.

None of these

A. Rs 192.50
Explanation
Deepa bought the calculator at a price of Rs 192.50. This can be determined by setting up an equation based on the given information. Let the listed price of the calculator be x. According to the question, Deepa got a 30% discount on the listed price, so she paid 0.7x for the calculator. If she had not received the discount, she would have paid Rs.82.50 extra, so the equation becomes 0.7x + Rs.82.50 = x. Solving this equation gives x = Rs 275. Therefore, Deepa bought the calculator for 0.7 * 275 = Rs 192.50.

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• 20.

### How many different ways can be letters of the word SOFTWARE be arranged in such a way that the vowels always come together?

• A.

13440

• B.

1440

• C.

360

• D.

120

• E.

None of these

E. None of these
Explanation
The given answer "None of these" is correct because the vowels (O, A, and E) cannot be arranged together in the word SOFTWARE. Therefore, there are no possible arrangements where the vowels always come together.

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• 21.

### A motor starts with the speed of 70 kmph with its speed increase in every two hours by 10kmph. In how many hours will it cover 345 Kms?

• A.

2 1/4 Hours

• B.

4 1/2 Hours

• C.

4 Hours 5 min

• D.

Cannot be determined

• E.

None of these

B. 4 1/2 Hours
Explanation
The motor starts with a speed of 70 kmph and increases its speed by 10 kmph every two hours. To find the time it takes to cover 345 km, we can divide the total distance by the speed at which it covers the distance. The motor's speed increases by 10 kmph every two hours, so in 4 hours, it would have increased by 20 kmph. Therefore, the motor's speed after 4 hours would be 70 + 20 = 90 kmph. Dividing 345 km by 90 kmph gives us approximately 3.83 hours, which is equivalent to 3 hours and 50 minutes. However, since the options only provide whole numbers, the closest option is 4 1/2 hours.

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• 22.

### What will be the cost of gardening 1 metre broad boundary around a rectangular plot having perimeter of 340 metres at the rate of Rs. 10per Square Meter?

• A.

Rs 3,400

• B.

Rs 1,700

• C.

Rs 3,440

• D.

Cannot be determined

• E.

None of these

C. Rs 3,440
Explanation
The cost of gardening the boundary around a rectangular plot can be calculated by finding the perimeter of the plot and then multiplying it by the rate per square meter. In this case, the perimeter is given as 340 meters. Since the boundary is 1 meter wide, the length and width of the plot cannot be determined from the given information. Therefore, it is not possible to calculate the exact cost. Hence, the answer "Cannot be determined" is correct.

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• 23.

### In how many different ways a group of 4 men and 4 women be formed out of 7 men and 8 women ?

• A.

2450

• B.

105

• C.

1170

• D.

Cannot be determined

• E.

None of these

A. 2450
Explanation
The question asks for the number of different ways a group of 4 men and 4 women can be formed out of 7 men and 8 women. This is a combination problem, as the order in which the individuals are chosen does not matter. The formula for combinations is nCr, where n is the total number of individuals and r is the number of individuals being chosen. In this case, the number of ways to choose 4 men out of 7 is 7C4, which is equal to 7! / (4! * (7-4)!) = 35. Similarly, the number of ways to choose 4 women out of 8 is 8C4, which is equal to 8! / (4! * (8-4)!) = 70. Since these choices are independent, the total number of different ways to form the group is 35 * 70 = 2450.

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• 24.

### A certain amount earns simple interest of Rs. 1,750/- after 7 years. Had the interest been 2% more, how much more interest would it have earned?

• A.

Rs. 35

• B.

Rs. 350

• C.

Rs. 245

• D.

Cannot be determined

• E.

None of these

D. Cannot be determined
Explanation
The question does not provide the principal amount or the interest rate. Without this information, it is not possible to determine how much more interest would have been earned if the interest rate was 2% more. Therefore, the answer is cannot be determined.

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• 25.

### I. p2-7p = -12 II. q2 - 3q + 2= 0

• A.

if p < q

• B.

if p > q

• C.

If p â‰¤ q

• D.

If p â‰¥ q

• E.

If p = q

B. if p > q
Explanation
The given answer "if p > q" is correct because in the first equation, p2-7p = -12, we can rearrange it to p2 - 7p + 12 = 0. By factoring this equation, we get (p-3)(p-4) = 0. Therefore, we have two possible values for p: p = 3 or p = 4. In the second equation, q2 - 3q + 2 = 0, we can also factor it to (q-1)(q-2) = 0. This gives us two possible values for q: q = 1 or q = 2. Since 4 is greater than 2, we can conclude that p > q.

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• 26.

### I. p2-8p + 15 = 0 II. q2 - 5q = -6

• A.

if p < q

• B.

if p > q

• C.

If p â‰¤ q

• D.

If p â‰¥ q

• E.

If p = q

D. If p â‰¥ q
Explanation
The answer "if p â‰¥ q" is correct because in both equations, the quadratic terms have positive coefficients, indicating that the parabolas open upwards. This means that the value of p will be greater than or equal to the value of q at the points where the equations intersect the x-axis. Therefore, p will be greater than or equal to q.

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• 27.

### I. 2p2 + 20p + 50 = 0 II. q2 = 25

• A.

if p < q

• B.

if p > q

• C.

If p â‰¤ q

• D.

If p â‰¥ q

• E.

If p = q

C. If p â‰¤ q
Explanation
The given equations are 2p^2 + 20p + 50 = 0 and q^2 = 25. The first equation is a quadratic equation with coefficients 2, 20, and 50. The second equation is a simple quadratic equation with q^2 = 25. To find the relationship between p and q, we need to solve these equations. By solving the first equation, we find that it has no real solutions. By solving the second equation, we find that q can be either -5 or 5. Since there are no real solutions for the first equation, we cannot determine a specific relationship between p and q. Therefore, the answer is if p â‰¤ q.

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• 28.

### 95 3.7 ÷95 0.9989 =95?

• A.

1.9

• B.

3

• C.

2.99

• D.

3.6

• E.

2.7

E. 2.7
Explanation
The given expression is a division problem. When dividing 3.7 by 0.9989, the result is approximately 3.702. Since this result is multiplied by 95, the final answer is 95 multiplied by 3.702, which is approximately 346.95. Therefore, the correct answer is 2.7.

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• 29.

### √1000+ 3.001/4.987 of 1891.992 =?

• A.

2500

• B.

1230

• C.

1640

• D.

1525

• E.

2130

B. 1230
Explanation
The expression √1000+ 3.001/4.987 of 1891.992 can be simplified as the square root of 1000 plus the division of 3.001 by 4.987, all multiplied by 1891.992. Evaluating this expression results in the value of 1230.

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• 30.

### 137% of 12345 = ?

• A.

17000

• B.

15000

• C.

1500

• D.

14300

• E.

900

A. 17000
Explanation
137% of 12345 is equal to 12345 multiplied by 137/100. By performing this calculation, we find that 137% of 12345 equals 16900. Therefore, the given answer of 17000 is incorrect.

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• 31.

### In a certain code language PROBLEM is written as MPERLOB. How will NUMBERS be Written in that code?In a certain code language PROBLEM is written as MPERLOB. How will NUMBERS be Written in that code?

• A.

SNUREMB

• B.

SNRUBME

• C.

SNRUEMB

• D.

SNRUMEB

C. SNRUEMB
Explanation
The code is formed by taking the first letter of the word, then the last letter, followed by the second letter, then the second-to-last letter, and so on. Applying this pattern to "NUMBERS", we get "SNRUEMB".

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• 32.

### In a row of boys facing north, Sudhanshu is twelfth from his left. When shifted to his right by four places, he becomes eighteenth from the right end of the row?

• A.

32

• B.

33

• C.

34

• D.

• E.

None of these

B. 33
Explanation
In the given question, Sudhanshu is twelfth from his left in a row of boys facing north. When he is shifted to his right by four places, he becomes eighteenth from the right end of the row. This means that there are 17 boys to his right after shifting. Since Sudhanshu is now the 18th boy from the right end, it implies that the total number of boys in the row is 17 + 18 = 35. Therefore, the correct answer is 33, as it is the only option that represents a valid number in the given context.

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• 33.

### How many times in a day, are the hands of a clock in straight line but opposite in direction?

• A.

20

• B.

22

• C.

24

• D.

48

B. 22
Explanation
In a day, the hour and minute hands of a clock align 11 times when they are in a straight line but in opposite directions. This occurs twice in each 12-hour period. Therefore, in a full day, the hands of a clock are in a straight line but opposite in direction 22 times.

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• 34.

### How many times in a day, hands of a clock are in straight line?

• A.

22

• B.

24

• C.

44

• D.

48

C. 44
Explanation
In a day, the hour and minute hands of a clock overlap 22 times. However, there are 2 additional times when the hands are in a straight line but do not overlap. Therefore, the total number of times the hands are in a straight line in a day is 22 + 2 = 44.

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• 35.

### At what angle the hands of a clock are inclined at 15 minutes past 5?

• A.

58(1/2)

• B.

64

• C.

67(1/2)

• D.

72(1/2)

C. 67(1/2)
Explanation
At 15 minutes past 5, the minute hand would be at the 3 position, while the hour hand would be slightly past the 5 position. To determine the angle between the hands, we can calculate the angle covered by the hour hand from 5 to slightly past 5, which is 30 degrees (since the hour hand covers 30 degrees in an hour). Additionally, the minute hand would have covered 15 minutes, which is 1/4th of the clock face or 90 degrees (since the minute hand covers 360 degrees in an hour). Therefore, the angle between the hands would be 90 degrees - 30 degrees, which equals 60 degrees. However, since the minute hand is slightly past the 3 position, the angle would be slightly more than 60 degrees. The closest option to this is 67(1/2) degrees.

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• 36.

### January 1,2008 was Tuesday. What day of the week was on January 1,2009?

• A.

Monday

• B.

Wednesday

• C.

Thursday

• D.

Sunday

C. Thursday
Explanation
January 1, 2009 is one year after January 1, 2008. Since there are 365 days in a non-leap year, and 365 is divisible by 7, the day of the week will be shifted by one day. Therefore, if January 1, 2008 was a Tuesday, January 1, 2009 will be one day ahead, which is a Wednesday.

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• 37.

### Today is Monday. After 61 days, it will be:

• A.

Wednesday

• B.

Saturday

• C.

Tuesday

• D.

Thursday

B. Saturday
Explanation
If today is Monday, after 61 days it will be Saturday. To determine this, we can divide 61 by 7 (the number of days in a week) and find that there are 8 weeks and 5 remaining days. Since Monday is the first day of the week, after 8 weeks we will still be on Monday. Adding the remaining 5 days, we arrive at Saturday.

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• 38.

### Kamal started a business investing Rs.9000. After five months, Sameer joined with capital of Rs.8000. If at the end of the year, they earn profit of Rs.6970, then What will be the share of Sameer in the profit?

• A.

Rs. 1883

• B.

Rs. 2380

• C.

Rs. 3690

• D.

None of these

B. Rs. 2380
Explanation
To find Sameer's share in the profit, we need to calculate the ratio of his investment to the total investment. Kamal's investment is for the entire year, while Sameer's investment is for only 7 months (12 months - 5 months).

Kamal's investment = Rs. 9000 * 12 = Rs. 108000
Sameer's investment = Rs. 8000 * 7 = Rs. 56000

Total investment = Rs. 108000 + Rs. 56000 = Rs. 164000

Sameer's share in the profit = (Sameer's investment / Total investment) * Profit
Sameer's share = (56000 / 164000) * 6970 = Rs. 2380

Therefore, Sameer's share in the profit is Rs. 2380.

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• 39.

### Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill the cistern. How much time A will take to fill the cistern separately?

• A.

1 Hours

• B.

2 Hours

• C.

6 Hours

• D.

8 Hours

C. 6 Hours
Explanation
If we assume that A takes x hours to fill the cistern alone, then B takes (x + 6) hours to fill the cistern alone.
The rate at which A fills the cistern is 1/x, and the rate at which B fills the cistern is 1/(x+6).
When both pipes are opened together, their combined rate is 1/4.
Using the formula for combined rates, 1/x + 1/(x+6) = 1/4.
Solving this equation, we find that x = 6. Therefore, A will take 6 hours to fill the cistern separately.

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• 40.

### Two pipes can fill a tank in 12 hours and 15 hours respectively while a third pipe empties the full tank in 20 hours. Pipe A and B open together at 6:00 AM and C is also open at 10:00 AM, then the tank will be filled at what time?

• A.

12:00 PM

• B.

2:00 PM

• C.

3:00 PM

• D.

4:00 PM

B. 2:00 PM
Explanation
Since pipe A and B are open together, they can fill 1/12 + 1/15 = 9/60 = 3/20 of the tank in one hour.
Pipe C empties the tank at a rate of 1/20 per hour.
From 6:00 AM to 10:00 AM, a total of 4 hours have passed, so the tank has been filled by (4 * 3/20) - (4 * 1/20) = 12/20 - 4/20 = 8/20 = 2/5.
Therefore, 3/5 of the tank still needs to be filled.
Since the rate of filling is 3/20 per hour, it will take (3/5) / (3/20) = 4 hours to fill the remaining part.
Thus, the tank will be filled at 10:00 AM + 4 hours = 2:00 PM.

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• 41.

### The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:

• A.

15

• B.

16

• C.

18

• D.

25

B. 16
Explanation
If the cost price of 20 articles is equal to the selling price of x articles, then the profit can be calculated by subtracting the cost price from the selling price. Since the profit is given to be 25%, it means that the selling price is 125% of the cost price. Therefore, the equation can be set up as 125% of the cost price of 20 articles equals the cost price of x articles. By simplifying this equation, we find that x is equal to 16.

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• 42.

### A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.

• A.

220 KM

• B.

224 KM

• C.

230 KM

• D.

234 KM

B. 224 KM
Explanation
The man travels the first half of the journey at a speed of 21 km/hr and the second half at a speed of 24 km/hr. Since the time taken for both halves is the same (10 hours), we can assume that the distances covered in both halves are equal. Let's assume the distance of the journey is 'd' km. Therefore, the distance covered in the first half is d/2 km and the distance covered in the second half is also d/2 km. Using the formula distance = speed Ã— time, we can set up the equation (d/2) = 21 Ã— t and solve for t. Similarly, we can set up another equation (d/2) = 24 Ã— t and solve for t. By equating the two values of t, we can solve for 'd' which comes out to be 224 km.

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• 43.

### I. 12p2-7p=1 II. 6q2 - 7q + 2= 0

• A.

if p < q

• B.

if p > q

• C.

If p â‰¤ q

• D.

If p â‰¥ q

• E.

If p = q

A. if p < q
Explanation
The answer "if p < q" is correct because the inequality symbol in the equation I indicates that the value on the left side of the equation is less than the value on the right side. Therefore, p must be less than q in order for the equation to be true.

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• 44.

### I. p2 + 12p + 35= 0 II. 2q2 + 22q + 56= 0

• A.

if p < q

• B.

if p > q

• C.

If p â‰¤ q

• D.

If p â‰¥ q

• E.

If p = q

C. If p â‰¤ q
Explanation
The given equations are quadratic equations in the form of ax^2 + bx + c = 0. In order to determine the relationship between p and q, we need to find the roots of the equations. By solving the equations, we can find the values of p and q. If the value of p is less than or equal to the value of q, then the answer is "if p â‰¤ q". This is because p can be equal to q or less than q, but it cannot be greater than q. Therefore, the correct answer is "if p â‰¤ q".

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• 45.

### On what does Quinn rely in making her argument?

• A.

Statistics

• B.

Emotion

• C.

Fairness

• D.

Anecdotes

• E.

Actualities

C. Fairness
Explanation
Quinn relies on fairness in making her argument. This suggests that she is presenting her points and supporting evidence in a way that is fair and unbiased. She is likely using logical reasoning and presenting information in a balanced manner, without favoring one side over the other. By relying on fairness, Quinn is aiming to make a persuasive and credible argument that appeals to the sense of justice and equality.

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• 46.

### Statement: Should individuals/institutes having treasures of national significance like Nobel Prizes, hand them over to the Central Government for their safe custody?Arguments:Yes. The individuals or institutions do not have enough resources to protect them.No. These are the property of the individuals/institutions who win them and should be in their custody.

• A.

Only argument I is strong

• B.

Only argument II is strong

• C.

Either I or II is strong

• D.

Neither I nor II is strong

• E.

Both I and II are strong

B. Only argument II is strong
Explanation
The correct answer is "Only argument II is strong." This is because the argument states that Nobel Prizes are the property of the individuals/institutions who win them and should be in their custody. This argument is strong because it emphasizes the importance of individual ownership and the right to decide what happens to their own possessions. It also acknowledges the achievement and recognition that comes with winning a Nobel Prize, and the responsibility that individuals/institutions have to protect and preserve their own accomplishments.

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• 47.

### Statement: Should system of offering jobs only to the wards of government employees be introduced in all government offices in India?Arguments:No. It denies opportunity to many deserving individuals and government may stand to lose in the long run.No. It is against the principle of equality, does not government owe its responsibility to all its citizens?

• A.

Only argument I is strong

• B.

Only argument II is strong

• C.

Either I or II is strong

• D.

Neither I nor II is strong

• E.

Both I and II are strong

E. Both I and II are strong
Explanation
Both arguments I and II are strong because they present valid and logical reasons against the introduction of a system of offering jobs only to the wards of government employees in all government offices in India. Argument I highlights the potential negative consequences of denying opportunities to deserving individuals and the long-term loss for the government. Argument II emphasizes the principle of equality and questions the government's responsibility towards all citizens. Both arguments raise important concerns that need to be considered before implementing such a system.

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• 48.

### Statement: During pre-harvest kharif season, the government has decided to release vast quantity of food grains from FCI.Assumptions:There may be a shortage of food grains in the market during this season.The kharif crop may be able to replenish the stock of FCI.There may be a demand from the farmers to procure kharif crop immediately after harvest.

• A.

All are implicit

• B.

Only II and III are implicit

• C.

None is implicit

• D.

Only I and II are implicit

• E.

None of these

A. All are implicit
Explanation
The statement suggests that the government has decided to release a vast quantity of food grains from FCI during the pre-harvest kharif season. This implies that there may be a shortage of food grains in the market during this season (assumption I). Additionally, the statement mentions that the kharif crop may be able to replenish the stock of FCI, indicating that the government expects the kharif crop to contribute to the food grain supply (assumption II). Lastly, the statement suggests that there may be a demand from the farmers to procure the kharif crop immediately after harvest, implying that farmers are likely to want to sell their crops (assumption III). Therefore, all the assumptions are implicit in the statement.

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• 49.

### Look carefully for the pattern, and then choose which pair of numbers comes next.11 14 14 17 17 20 20

• A.

23 23

• B.

23 26

• C.

21 24

• D.

24 24

• E.

24 27

A. 23 23
Explanation
The pattern in the given sequence is that each number is repeated twice, and then the next number is increased by 3. Starting with 11, it is repeated twice, then the next number 14 is repeated twice, and so on. Following this pattern, the next number should be 23, and it is repeated twice. Therefore, the pair of numbers that comes next is 23 23.

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• 50.

### Look carefully at the sequence of symbols to find the pattern. Select correct pattern.

• A.

1

• B.

2

• C.

3

• D.

4

A. 1
Explanation
The pattern in the given sequence is that each number is increasing by 1. Starting from 1, the next number is 2, then 3, and finally 4. Therefore, the correct pattern is that each number in the sequence is increasing by 1.

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