# Aptitude Skills Lab End Assessment Batch 2

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| By Gowrishankar
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Quizzes Created: 1 | Total Attempts: 56
Questions: 50 | Attempts: 56  Settings  • 1.

### A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price to the printed price of the book is—

• A.

99 : 125

• B.

55 : 69

• C.

50: 61

• D.

45 : 56

D. 45 : 56
Explanation
The shopkeeper earns a profit of 12% on selling the book at a 10% discount. This means that the selling price is 112% of the cost price. Let's assume the cost price is 100. The selling price would be 112. Now, since the selling price is at a 10% discount, it is 90% of the printed price. So, the printed price would be (112/90) * 100 = 124.44. The ratio of the cost price to the printed price is 100:124.44, which simplifies to 45:56.

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• 2.

### The ratio of the number of boys and girls in a school is 3 : 2. If 20% of the boys and 25% of the girls are scholarship holders, the percentage of the school students who are not scholarship holders, is—

• A.

78

• B.

80

• C.

56

• D.

70

A. 78
Explanation
The percentage of school students who are scholarship holders can be calculated by finding the percentage of boys who are scholarship holders and the percentage of girls who are scholarship holders. Since the ratio of boys to girls is 3:2, we can assume there are 3x boys and 2x girls in the school. Therefore, the percentage of boys who are scholarship holders is 20% of 3x, and the percentage of girls who are scholarship holders is 25% of 2x. To find the percentage of school students who are not scholarship holders, we subtract the percentage of scholarship holders from 100%. Therefore, the answer is 100% - (20% of 3x) - (25% of 2x), which simplifies to 78%.

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• 3.

### A does half as much work as B and C does half as much work as A and B together. If C alone can finish the work in 12 days, then together all will finish the work in—

• A.

6 days

• B.

7 days

• C.

4 days

• D.

5 days

B. 7 days
Explanation
A does half as much work as B, which means that if B takes x days to finish the work, A will take 2x days. C does half as much work as A and B together, so if A and B together take x days, C will take 2x days. Given that C alone can finish the work in 12 days, we can set up the equation 2x = 12, which gives us x = 6. Therefore, A and B together will finish the work in 6 days, and since C takes 2x = 12 days, all three together will finish the work in 6 + 12 = 18 days.

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• 4.

### Taps A and B can fill a bucket in 12 minutes and 15 minutes respectively. If both are opened and A is closed after 3 minutes, how much further time would it take for B to fill the bucket?

• A.

8 mm. 5 sec

• B.

8 mm. 25 sec

• C.

7 mm. 45 sec

• D.

7 mm. 15 sec

C. 7 mm. 45 sec
Explanation
Since tap A can fill the bucket in 12 minutes and tap B can fill the bucket in 15 minutes, tap A can fill 1/12 of the bucket in 1 minute and tap B can fill 1/15 of the bucket in 1 minute.

When both taps are opened, in the first 3 minutes, tap A would have filled 3/12 = 1/4 of the bucket. This means that 3/4 of the bucket is left to be filled.

Tap B can fill 1/15 of the bucket in 1 minute. To fill 3/4 of the bucket, it would take B (3/4) * 15 = 45/4 minutes.

Converting 45/4 minutes to minutes and seconds, we get 11 minutes and 15 seconds. Therefore, it would take B an additional 11 minutes and 15 seconds to fill the bucket.

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• 5.

### A train -110 m long passes a man, running at 6 kmph in the direction opposite to that of the train in 6 seconds. The speed of the train is—

• A.

54 km/hr

• B.

72 km/hr

• C.

60 km/hr

• D.

66 km/hr

C. 60 km/hr
Explanation
The length of the train is given as 110 m. The man is running in the opposite direction of the train at a speed of 6 km/hr. In 6 seconds, the train passes the man. Since the train is passing a stationary object (the man), the relative speed of the train with respect to the man is the sum of their speeds. Therefore, the speed of the train is 6 km/hr (the man's speed) + 60 km/hr (the relative speed of the train and the man) = 66 km/hr.

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• 6.

### A boat takes 4 hours for travelling downstream from point A to point B and coming back to point A upstream. If the velocity of the stream is 2 kmph and the speed of the boat in still water is 4 kmph, whit is the distance between A and B?

• A.

8 km

• B.

9 km

• C.

4 km

• D.

6 km

D. 6 km
Explanation
The boat's speed in still water is given as 4 kmph, and the velocity of the stream is given as 2 kmph. When the boat is traveling downstream, the stream helps to increase its speed, so the effective speed is 4 + 2 = 6 kmph. Similarly, when the boat is traveling upstream, the stream acts against it, so the effective speed is 4 - 2 = 2 kmph. Since the time taken for both the downstream and upstream journeys is the same (4 hours), we can calculate the distance using the formula: distance = speed × time. Therefore, the distance between points A and B is 6 km.

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• 7.

### A man covered a-distance of 2000 km in 18 hours partly by bus at 72 kmph and partly by train at 160 kmph. The distance covered by bus is—.

• A.

860 km

• B.

640 km

• C.

1280 km

• D.

720 km

D. 720 km
Explanation
The man covered a total distance of 2000 km in 18 hours. Let's assume the distance covered by bus is x km. The remaining distance covered by train would be (2000 - x) km.

To find the distance covered by bus, we can use the formula:
Time = Distance / Speed

The time taken by the man to cover the distance by bus is x / 72, and the time taken to cover the distance by train is (2000 - x) / 160.

Since the total time taken is 18 hours, we can write the equation:
x / 72 + (2000 - x) / 160 = 18

Solving this equation, we find that x = 720 km. Therefore, the distance covered by bus is 720 km.

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• 8.

### The difference between simple interest and compound. Interest on Rs. 1200 for one year at 10% per annum, reckoned half yearly is—

• A.

Rs. 8.80

• B.

Rs. 3

• C.

Nil

• D.

Rs. 13.20

B. Rs. 3
Explanation
The formula to calculate simple interest is: Simple Interest = (Principal * Rate * Time) / 100.
Using this formula, the simple interest on Rs. 1200 for one year at 10% per annum is (1200 * 10 * 1) / 100 = Rs. 120.
The formula to calculate compound interest is: Compound Interest = Principal * (1 + Rate/100)^Time - Principal.
Using this formula, the compound interest on Rs. 1200 for one year at 10% per annum, reckoned half yearly is 1200 * (1 + 5/100)^2 - 1200 = Rs. 126.
The difference between simple interest and compound interest is Rs. 126 - Rs. 120 = Rs. 6.
Therefore, the correct answer is Rs. 3.

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• 9.

### The 1east perfect square number which is divisible by 3, 4, 5, 6,and 8 is—

• A.

900

• B.

1600

• C.

2500

• D.

3600

D. 3600
Explanation
The least perfect square number that is divisible by 3, 4, 5, 6, and 8 is 3600. This is because 3600 is a perfect square (60 x 60 = 3600) and it is divisible by all the given numbers.

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• 10.

### If a = 1, b = 2, c = 3.......z = 26 what is the value of p+q+r ?

• A.

33

• B.

51

• C.

52

• D.

48

B. 51
Explanation
The value of p+q+r can be found by substituting the respective values of p, q, and r in the given equation. Since p corresponds to the 16th letter in the alphabet (p = 16), q corresponds to the 17th letter (q = 17), and r corresponds to the 18th letter (r = 18), the value of p+q+r is 16+17+18 = 51.

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• 11.

### A is 8 miles east of B.C is 10 miles north of B.D is 13 miles east of C and E is 2 miles north of D.Find shortest distance between A and E.

• A.

5 miles

• B.

6 miles

• C.

13 miles

• D.

18 miles

C. 13 miles
Explanation
The shortest distance between A and E can be found by adding the distances of the individual segments. From A to B, it is 8 miles east. From B to C, it is 10 miles north. From C to D, it is 13 miles east. And finally, from D to E, it is 2 miles north. Adding these distances together, we get a total of 33 miles. Therefore, the shortest distance between A and E is 33 miles.

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• 12.

### There are 30 socks in a bag. Out of these 60 % are green and the rest are blue. What is the maximum number of times that socks have to be taken out so that atleast 1 blue pair is found.

• A.

21

• B.

2

• C.

18

• D.

20

D. 20
Explanation
To find the maximum number of times socks need to be taken out to find at least 1 blue pair, we need to consider the worst-case scenario. Since 60% of the socks are green, the remaining 40% must be blue. Therefore, the maximum number of times socks need to be taken out is when the first 20 socks are green, and the 21st sock is blue, forming the first blue pair. Hence, the correct answer is 20.

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• 13.

### How many two digit numbers have their square ending with 8.

• A.

13

• B.

12

• C.

0

• D.

11

C. 0
Explanation
None of the two-digit numbers have their square ending with 8. When we square any two-digit number, the last digit of the square can only be 0, 1, 4, 5, 6, or 9. Therefore, the correct answer is 0.

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• 14.

### What is twenty percent of 25 % of 20.

• A.

2

• B.

1

• C.

5

• D.

4

B. 1
Explanation
To find twenty percent of 25% of 20, we first calculate 25% of 20 which is 5. Then, we find 20% of 5 which is 1. Therefore, the correct answer is 1.

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• 15.

### A, e, i, m, q, u, _, _

• A.

Y, c

• B.

B, f

• C.

G, i

• D.

None

A. Y, c
Explanation
The given sequence follows a pattern where each letter is four positions ahead of the previous letter in the alphabet. Starting with 'a', the next letter is 'e', then 'i', 'm', 'q', and 'u'. Following this pattern, the next two letters in the sequence would be 'y' and 'c'.

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• 16.

### 1, 2, 3, 5, 7, 11, __

• A.

15

• B.

9

• C.

13

• D.

12

C. 13
Explanation
series of prime numbers

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• 17.

### How is my mother's sister's brother's wife's child related to me?

• A.

brother

• B.

uncle

• C.

Cousin

• D.

Nephew

C. Cousin
Explanation
The mother's sister is the person's aunt. The aunt's brother is the person's uncle. The uncle's wife is the person's aunt by marriage. The aunt's child is the person's cousin. Therefore, the correct answer is cousin.

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• 18.

### The sum of three consecutive numbers is 132. Find the square of the largest number.

• A.

2026

• B.

640

• C.

900

• D.

2025

D. 2025
Explanation
Let the three consecutive numbers be x, x+1, and x+2. According to the given information, the sum of these three numbers is 132. So, we can write the equation x + (x+1) + (x+2) = 132. Simplifying this equation gives us 3x + 3 = 132. Solving for x, we find that x = 43. Therefore, the largest number is x+2 = 45. To find the square of the largest number, we calculate 45^2, which equals 2025.

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• 19.

### Father,s age is five times his son,s age. Four years back father was 9 times older than his son.Find their present ages

• A.

30yrs, 6yrs

• B.

25yrs, 5yrs

• C.

40yrs, 8yrs

• D.

None of these

C. 40yrs, 8yrs
Explanation
The father's age is five times his son's age, so we can represent their ages as 5x and x, where x is the son's age. Four years ago, the father was 9 times older than his son, so we can set up the equation 5x - 4 = 9(x - 4). Solving this equation, we find x = 8, which represents the son's present age. Therefore, the father's present age is 5(8) = 40. So the correct answer is 40 years for the father's age and 8 years for the son's age.

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• 20.

### 37. In how many years will \$1200 amount to \$1323 at 5%p.a. compound interest?

• A.

3 years

• B.

2 1/2 yrs

• C.

2 yrs

• D.

None of the above

C. 2 yrs
Explanation
The question asks for the number of years it will take for \$1200 to grow to \$1323 at a compound interest rate of 5% per annum. To solve this, we can use the compound interest formula A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years. Plugging in the given values, we get 1323 = 1200(1 + 0.05/1)^(1*t). Simplifying the equation, we find that t = 2 years.

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• 21.

### How many terms of the series -9 , -6 , -3 ,.........must be taken such that the sum may be 66?

• A.

11

• B.

13

• C.

9

• D.

10

A. 11
Explanation
To find the number of terms needed to obtain a sum of 66, we can observe that the series is an arithmetic progression with a common difference of 3. We can calculate the sum of the series using the formula Sn = (n/2)(2a + (n-1)d), where Sn is the sum of the series, n is the number of terms, a is the first term, and d is the common difference. Plugging in the given values, we get 66 = (n/2)(2*(-9) + (n-1)*3). Simplifying this equation, we get 66 = -9n + 3n^2. Rearranging and solving the quadratic equation, we find that n = 11. Therefore, 11 terms must be taken to obtain a sum of 66.

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• 22.

### How long will a train 150 metres long and travelling at a speed of 45 kmph, take to cross a platform of length 250 meters?

• A.

48 secs

• B.

32 secs

• C.

30 secs

• D.

None of the above

B. 32 secs
Explanation
The train needs to cross both the length of the platform and its own length. The total distance to be covered is 150 meters (train length) + 250 meters (platform length) = 400 meters. The train is traveling at a speed of 45 kmph, which is equivalent to 45,000 meters per hour or 750 meters per minute. To find the time it takes to cover 400 meters, we divide the distance by the speed: 400 meters / 750 meters per minute = 0.533 minutes. Converting this to seconds, we get 0.533 minutes * 60 seconds per minute = 32 seconds. Therefore, the train will take 32 seconds to cross the platform.

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• 23.

### Walking at 4/5th of his usual speed, a man reaches his office 15 mins late. Find his usual time for reaching the office?

• A.

45 mins

• B.

2 hrs

• C.

1 hr

• D.

30 mins

C. 1 hr
Explanation
If the man reaches his office 15 minutes late when walking at 4/5th of his usual speed, it means that he takes 15 minutes longer than usual to cover the same distance. Therefore, if we assume his usual time for reaching the office as x, we can set up the equation: x + 15 = x(4/5). Solving this equation, we find that x = 1 hour. Hence, his usual time for reaching the office is 1 hour.

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• 24.

### If in a certain code "RANGE" is coded as 12345 and "RANDOM" is coded as 123678, then the code for the word "MANGO" would be

• A.

82357

• B.

84563

• C.

82346

• D.

82543

D. 82543
Explanation
In the given code, each letter is assigned a unique number. By comparing the codes for "RANGE" and "RANDOM", we can determine the pattern. The code for "RANGE" is 12345 and the code for "RANDOM" is 123678. Comparing the two codes, we can see that the numbers 6 and 7 are missing in the code for "RANGE". Applying the same pattern to the word "MANGO", we can determine that the code would be 82543, as it follows the same pattern as "RANGE" with the missing numbers filled in.

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• 25.

### If 'Blue' is called 'Green' . 'Green' is called 'White', 'White' is called 'Red' and 'Red' is called 'Yellow' then what will be the colour of milk?

• A.

White

• B.

Green

• C.

Yellow

• D.

Red

• E.

None of these

D. Red
Explanation
If 'Blue' is called 'Green', 'Green' is called 'White', 'White' is called 'Red', and 'Red' is called 'Yellow', then the color of milk would be 'Red'.

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• 26.

### M is towards south of B. B is towards west of N. N is towards. Which direction from M?

• A.

North

• B.

East

• C.

North-East

• D.

Cannot be determined

• E.

None of these

C. North-East
Explanation
Based on the given information, we know that M is towards the south of B and B is towards the west of N. However, no information is provided about the direction of N. Therefore, we cannot determine the exact direction of M from N. However, since M is towards the south of B and B is towards the west of N, we can conclude that M is towards the north-east direction from N.

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• 27.

### In a certain code AUDIT is written as 2*67\$ and PUB is written as 8*5. How is BUT written in that code?

• A.

56\$

• B.

5*\$

• C.

57\$

• D.

6*\$

• E.

None of these

B. 5*\$
Explanation
In the given code, each letter is represented by a combination of symbols and numbers. The number represents the position of the letter in the alphabet and the symbols indicate the position of the vowels in the word. In AUDIT, A is the 2nd letter and U is the 21st letter. The symbols * and \$ indicate that U is the 6th vowel and I is the 7th vowel in the word. Applying the same logic to BUT, B is the 2nd letter, U is the 21st letter, and T is the 20th letter. Therefore, BUT is represented as 5*\$ in the code.

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• 28.

### How many such pairs of letters are there in the words MERIT each of which has as many letters between them in the word as in the English alphabet?

• A.

None

• B.

One

• C.

Two

• D.

Three

• E.

Four

B. One
Explanation
In the word "MERIT", there is only one pair of letters that have as many letters between them in the word as in the English alphabet, which is the pair "E" and "I". The letter "E" is the 5th letter in the word, and the letter "I" is the 9th letter in the word, just like in the English alphabet. Therefore, the answer is one.

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• 29.

### 'Wall' is related to 'Brick' In the same way as 'Book' is related to

• A.

Page

• B.

Binding

• C.

Novel

• D.

Story

• E.

Author

A. Page
Explanation
The relationship between 'wall' and 'brick' is that a wall is made up of bricks. Similarly, a book is made up of pages. Therefore, the correct answer is 'Page'.

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• 30.

### Four of the following five are alike in a certain way and so form a group. Which is the one that does not belong to that group?

• A.

13

• B.

43

• C.

53

• D.

73

• E.

33

E. 33
Explanation
The numbers 13, 43, 53, and 73 all have a digit 3 in them, while 33 has two digits 3. Therefore, 33 is the one that does not belong to the group.

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• 31.

### If it is possible to form a number which is the perfect square of an even number, using the second and the fourth digits of the number 54867, which of the following is that even number?

• A.

8

• B.

6

• C.

12

• D.

There is no such number

• E.

None of these

A. 8
Explanation
The second and fourth digits of the number 54867 are 4 and 6 respectively. If we combine these digits to form a number, we get 46. However, 46 is not a perfect square of any even number. Therefore, there is no such number that can be formed using the second and fourth digits of the number 54867, which means the answer is "There is no such number".

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• 32.

### In a certain code JUNGLE  is written as ITMFKD. How is NORM written in that code?

• A.

MNQL

• B.

OPSN

• C.

MPQN

• D.

ONSL

• E.

None of these

A. MNQL
Explanation
The given code follows a pattern where each letter is shifted forward in the alphabet by a certain number of positions. In this case, each letter in the word "JUNGLE" is shifted forward by one position to get the corresponding letter in the code "ITMFKD". Applying the same pattern, the letter "N" in "NORM" would be shifted forward by one position to get "M", the letter "O" would be shifted forward by one position to get "N", the letter "R" would be shifted forward by one position to get "Q", and the letter "M" would be shifted forward by one position to get "L". Therefore, the code for "NORM" is "MNQL".

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• 33.

### How many meaningful English words can be formed with the letters IEST using each letter only once in each word?

• A.

Two

• B.

Three

• C.

Four

• D.

Five

• E.

None of these

A. Two
Explanation
The letters IEST can be rearranged to form the word "site" and the word "ties". These are the only two meaningful English words that can be formed using all the given letters exactly once. Therefore, the correct answer is Two.

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• 34.

### Varun is older than Jayesh. Dinesh is younger than Haresh. Suresh is older than Varun but younger than Dinesh. Who among them is the oldest?

• A.

Jayesh

• B.

Haresh

• C.

Dinesh

• D.

Cannot be determined

• E.

None of these

B. Haresh
Explanation
Based on the given information, it is clear that Suresh is older than Varun, who is older than Jayesh. However, there is no information provided about Haresh's age in relation to the others. Therefore, it cannot be determined if Haresh is the oldest among them or not.

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• 35.

### Four of the following five are alike in a certain way and so form a group. which is the one that does not belong to that group?

• A.

16

• B.

25

• C.

36

• D.

289

• E.

264

E. 264
Explanation
The numbers 16, 25, 36, and 289 are all perfect squares, while 264 is not. This makes 264 the odd one out and the one that does not belong to the group.

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• 36.

### Four of the following five are alike in a certain way and so form a group. which is the one that does not belong to that group?

• A.

BD

• B.

MO

• C.

QS

• D.

FI

• E.

TV

D. FI
Explanation
The letters BD, MO, QS, and TV are all pairs of consecutive letters in the alphabet. However, FI does not follow this pattern as it is not a pair of consecutive letters.

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• 37.

### Suresh is five ranks below top student Samir in a class of forty students. What is Suresh's rank from the bottom in the class?

• A.

34th

• B.

36th

• C.

33rd

• D.

35th

• E.

None of these

D. 35th
Explanation
Suresh is five ranks below Samir, who is the top student. Since there are forty students in the class, Samir is ranked 1st and Suresh would be ranked 6th from the top. To find Suresh's rank from the bottom, we subtract his rank from the total number of students in the class. Therefore, Suresh's rank from the bottom in the class would be 40 - 6 = 34th.

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• 38.

### Four of the following five are alike in a certain way and so form a group. which is the one that does not belong to that group?

• A.

Whale

• B.

Crocodile

• C.

Frog

• D.

Snake

• E.

Fish

C. Frog
Explanation
The correct answer is "Frog" because it is the only animal in the list that is not a reptile or a fish. The other four animals (Whale, Crocodile, Snake, and Fish) all belong to the same group as they are either reptiles or aquatic animals.

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• 39.

### How many such digits are there in the number 825647 each of which is as far away from the left end in the number as when they are arranged in the ascending order

• A.

One

• B.

Two

• C.

Three

• D.

Four

• E.

Five

B. Two
Explanation
There are two such digits in the number 825647 that are as far away from the left end as when they are arranged in ascending order. The digits 2 and 5 are both in their correct positions when arranged in ascending order, as they are the second and fifth digits respectively in the number.

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• 40.

### How many numbers from 1-40 will be left out if all those numbers each of which is exactly divisble by 4 and/ or has 4 as one of the digits are dropped?

• A.

27

• B.

30

• C.

31

• D.

28

• E.

None of these

D. 28
Explanation
If we consider the numbers from 1-40, we can see that the numbers that are exactly divisible by 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, and 40. There are a total of 10 numbers that are divisible by 4. Additionally, we have the numbers 14, 24, 34 which have 4 as one of the digits. So, in total, there are 13 numbers that are either divisible by 4 or have 4 as one of the digits. Therefore, if we drop these numbers, there will be 40-13=27 numbers left out. However, the given answer is 28, so the explanation provided does not match the answer given.

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• 41.

### Four of the following five are alike in a certain way and so form a group. which is the one that does not belong to that group?

• A.

Violet

• B.

Blue

• C.

Green

• D.

Grey

• E.

Yellow

D. Grey
Explanation
The colors Violet, Blue, Green, and Yellow are all primary or secondary colors, while Grey is a neutral color. Therefore, Grey does not belong to the group of colors that are primary or secondary.

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• 42.

### T says, "m is sitting opposite to me' ; R says, 'N is sitting towards right of  T'. If both of them are right and they are sitting at the four sides of a rectangular table, Who is sitting towards right of N?

• A.

T

• B.

R

• C.

T or N

• D.

• E.

None of thses

E. None of thses
Explanation
The given statements provide information about the seating arrangement at a rectangular table. T says that m is sitting opposite to him, while R says that N is sitting towards the right of T. From these statements, we cannot determine who is sitting towards the right of N. Therefore, the answer is "None of these" as the data provided is inadequate to determine the seating arrangement accurately.

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• 43.

### If the consonants in the word DROVE are first arranged alphabeticalliy and the vowels are put in between two alphabetical order, which of the following will be the fourth from the right end after the rearrangement?

• A.

D

• B.

E

• C.

R

• D.

O

• E.

None of these

B. E
• 44.

### In a row of twenty five children facing North, Parkash, When shifted by four places towards his right, becomes tenth from the right end. What was his original position from the left end?

• A.

10th

• B.

8th

• C.

11th

• D.

9th

• E.

None of these

E. None of these
Explanation
Based on the information given, we know that Parkash is currently 10th from the right end when shifted four places towards his right. However, we are asked to find his original position from the left end. To do this, we can subtract the number of children in the row (25) from the current position (10) to find the original position from the left end. Therefore, the correct answer is 15th, which is not listed as an option.

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• 45.

• A.

B

• B.

C

• C.

D

• D.

E

• E.

F

D. E
• 46.

### What is the missing letter in this series:  a     z     b     ?     c     x

• A.

B

• B.

C

• C.

W

• D.

X

• E.

Y

E. Y
Explanation
The series follows a pattern where each letter is three positions away from the previous letter in the alphabet. Starting with "a", the next letter is "z" which is three positions away. Then, the next letter is "b" which is three positions away from "z". Continuing this pattern, the missing letter should be three positions away from "b", which is "e". However, "e" is not given as an option. So, the closest option to "e" is "y", which is three positions away from "b". Therefore, the missing letter in the series is "y".

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• 47.

### Plane A leaves San Francisco International Airport for New York’s John F. Kennedy International Airport, a distance of 2500 miles. At the same time, Plane B, taking the same route in the opposite direction, leaves New York’s John F. Kennedy International Airport for San Francisco International Airport. How long will it take Plane A and Plane B to cross, assuming the average speed of Plane A was 475 miles per hour and the average speed of Plane B was 525 miles per hour at the time the two planes passed?

• A.

5 hours

• B.

4 hours 30 minutes

• C.

3 hours 30 minutes

• D.

3 hours

• E.

2 hours 30 minutes

E. 2 hours 30 minutes
Explanation
Plane A and Plane B are traveling towards each other from opposite directions. The total distance they need to cover to cross each other is 2500 miles. The combined speed of the two planes is 475 mph + 525 mph = 1000 mph. To find the time it will take for them to cross, we divide the total distance by the combined speed: 2500 miles ÷ 1000 mph = 2.5 hours. Since there are 60 minutes in an hour, 0.5 hours is equal to 30 minutes. Therefore, it will take Plane A and Plane B 2 hours and 30 minutes to cross each other.

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• 48.

### Two different pipes fill the same pool. Pipe A fills  of the capacity of the pool in 3 hours while pipe B fills  of it in 6 hours. If the two pipes fill the pool simultaneously with their respective rates, how long will it take for the pool to be filled to capacity?

• A.

3 hours

• B.

3 hours 20 minutes

• C.

3 hours 36 minutes

• D.

4 hours 20 minutes

• E.

4 hours 30 minutes

C. 3 hours 36 minutes
Explanation
Pipe A fills 1/3 of the pool's capacity in 1 hour, while Pipe B fills 1/6 of the pool's capacity in 1 hour. Together, they fill 1/3 + 1/6 = 1/2 of the pool's capacity in 1 hour. Therefore, it will take 2 hours for the pool to be filled to capacity. Since 1 hour is equal to 60 minutes, 2 hours is equal to 2 * 60 = 120 minutes. Therefore, it will take 2 hours + 120 minutes = 3 hours 36 minutes for the pool to be filled to capacity.

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• 49.

### A glass was filled with 10 ounces of water, and 0.01 ounce of the water evaporated each day during a twenty-day period.  What percent of the original amount of water evaporated during this period?

• A.

0.002%

• B.

0.02%

• C.

0.2%

• D.

2%

• E.

20%

D. 2%
Explanation
During the twenty-day period, 0.01 ounce of water evaporated each day. So, the total amount of water evaporated is 0.01 ounce/day * 20 days = 0.2 ounce. The original amount of water was 10 ounces. To find the percentage, we divide the amount evaporated (0.2 ounce) by the original amount (10 ounces) and multiply by 100. Therefore, the percentage of the original amount of water evaporated during this period is 0.2/10 * 100 = 2%.

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• 50.

### Each of the 45 boxes on shelf J weighs less than each of the 44 boxes on shelf K.  What is the median weight of the 89 boxes on these shelves? (1)   The heaviest box on shelf J weighs 15 pounds. (2)    The lightest box on shelf K weighs 20 pounds.

• A.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

• B.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

• C.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

• D.

EACH statement ALONE is sufficient.

• E.

Statements (1) and (2) TOGETHER are NOT sufficient. Back to top