RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: In each of the following numbers, what should be the missing digit in the indicated place such that the number is a multiple of 11?
945678?
A.7
B.6
C.8
D.5
Answer: C.8
Explanation: Explanation:
Divisibility of 11: If the difference of the sum of the digits at odd places and the sum of the digits at even places of a number is zero or a multiple of 11, then that number is divisible by 11.
As per divisibility rule of 11, difference = (x + 21) - 18 = x + 3
=> x + 3 = 11 => x = 8
ANSwer: C
Question: To hail means to praise and acclaim and this is contrary to what has been proposed in the passage. Ask doubt using Question Id: 6305
A.22
B.99
C.82
D.27
Answer: A.22
Explanation: Answer:A
Question: A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a plce and come back, how far is the place?
A.2 km
B.2.4 km
C.2.5 km
D.3.4 km
Answer: B.2.4 km
Explanation: Sol.
Speed downstream = (5+1) kmph = 6 kmph; Speed upstream = (5 - 1)kmph = 4 kmph. Let the required distance be x km.
Then, x/6 + x/4 = 1 ⇔ 2x + 3x = 12 ⇔ 5x = 12 ⇔ x = 2.4 km.
Answer B
Question: The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas?
A.81:121
B.81:128
C.81:118
D.81:107
Answer: A.81:121
Explanation: Ratio of the sides = ³√729 : ³√1331
= 9 : 11
Ratio of surface areas = 92 : 112
= 81:121
Answer: A
Question: Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
A.12:15:18
B.12:15:16
C.12:15:19
D.12:15:11
Answer: B.12:15:16
Explanation: Aman : Rakhi : Sagar = (70000 * 36) : (105000 * 30) : (140000 * 24)
= 12:15:16.Answer: B
Question: The average of five integers is 63, and none of these integers is greater than 100. If the average of three of the integers is 69, what is the least possible value of one of the other two integers?
A.5
B.8
C.20
D.21
Answer: B.8
Explanation: When it comes to averages, we know thataverage value = (sum of n values)/n
We can rewrite this into a useful formula:sum of n values = (average value)(n)
The average of five integers is 63
So, the sum of ALL 5 integers = (63)(5) =315
The average of three of the integers is 65
So, the sum of the 3 integers = (69)(3) =207
So, the sum of the 2 REMAINING integers =315-207=108
If the sum of the 2 REMAINING integers =108, and we want to minimize one value, we must MAXIMIZE the other value.
100 is the maximum value so let 1 integer = 100, which means the other must equal 8
Answer: B
Question: Fill in the sequence:
1 5 9 15 ?
A.11
B.41
C.51
D.21
Answer: D.21
Explanation: D
21
Position of the vowels a e i o u.
Question: Find the odd man out. 2, 3, 5, 9, 12, 17, 23
A.12
B.9
C.23
D.2
Answer: B.9
Explanation: Explanation :
2
2 + 1 = 3
3 + 2 = 5
5 + 3 = 8
8 + 4 = 12
12 + 5 = 17
17 + 6 = 23
ie, 8 should have come in place of 9
Answer : Option B
Question: The vertices of a rectangle in the standard (x,y) coordinate place are (0,0), (0,4), (7,0) and (7,4). If a line through (3,3) partitions the interior of this rectangle into 2 regions that have equal areas, what is the slope of this line?
A.0
B.2/5
C.-2
D.1
Answer: C.-2
Explanation: CONCEPT: The readers need to know that a rectangle can be divided into two equal area by a Straight line only when the straight line passes through the Centre of the Rectangle (Intersection of its two diagonals)Draw a figure and know it for yourself.
The point of Intersections of the diagonals will be the midpoint of any diagonal i.e. Midpoint of (0,0), and (7,4) OR Midpoint of (0,4) and (7,0)
i.e. Either [(0+7)/2, (0+4)/2] OR [(0+7)/2, (4+0)/2] =[3.5, 2]
Slope of line passing through points (3,3) and (3.5,2) = (2-3)/(3.5-3) = - 1/0.5= -2
C
Question: log√ 8 / log 8 is equal to
A.1/√8
B.1/4
C.1/2
D.1/8
Answer: C.1/2
Explanation: Solution
log√ 8 / log 8	= log(8)1/2 / log 8
= 1/ 2 log 8 /log 8
= 1/ 2.
Answer C
Question: Three positive integers a, b, and c are such that their average is 40 and a ≤ b ≤ c. If the median is (a + 13), what is the least possible value of c?
A.41
B.44
C.45
D.46
Answer: C.45
Explanation: Solution
Given Data
3 positive integers
Average of a, b, and c = 40.
So, a+b+c3a+b+c3 =120 or a + b + c = 120
a ≤ b ≤ c
Median = (a + 13)
Median of these 3 numbers a, b, and c is ‘b’ because a ≤ b ≤ c
Therefore, b = a + 13
Objective To find the least value of 'c'
Theoretically, the least value of c is when c = b.
Therefore, a + (a + 13) + (a + 13) = 120 (b and c are equal and b, the median, is a + 13)
Or 3a =94 or a = 31.33
So, b = c = 31.33 + 13 = 44.33
However, we know that these numbers are all integers.
Therefore, a, b, and c cannot take these values.
So, the least value for c with this constraint is NOT likely to be when c = b
Let us increment c by 1. Let c = (b + 1)
In this scenario, a + (a + 13) + (a + 14) = 120
Or 3a = 93 or a=31 The value of the numbers is an integer
If a = 31, b = 44 and c = 45.
The least value for c that satisfies all these conditions is 45.
Correct answer is choice C.
Question: The sum of two numbers is 22. Five times one number is equal to 6 times the other. The bigger of the two numbers is
A.10
B.12
C.14
D.15
Answer: B.12
Explanation: a:b 5:6
a+b=22
5x+6x=22
x=2
then two numbers are 10,12
ANSWER:B
Question: What is the difference between the local value of 3 and 2 in the number 2324?
A.430
B.377
C.280
D.277
Answer: C.280
Explanation: Explanation:
300 â€“ 20 = 280
Answer: C
Question: What type of switch is this?
A.2
B.7
C.6
D.8
Answer: B.7
Explanation: Answer:B
Question: What is 120% of 13/24 of 600?
A.320
B.390
C.440
D.480
Answer: B.390
Explanation: 120% * 13/24 * 360 = 1.2 * 13 * 25 = 390
The answer is B.
Question: A square was given. Inside the square there are white tiles and black tiles. Black tiles was among the diagonal of the square and dimensions of both white as well as black tiles is 1cm x 1cm. If there are 81 black tiles in the square. Then find the no of white tiles in it.
A.2399
B.1600
C.2679
D.1697
Answer: B.1600
Explanation: In a square, number of squares on the diagonal is equal to the tiles on a single row. If there are even number of square on a side, then total squares on the diagonal is 2n - 1, otherwise 2n. As the total tiles on the diagonal are given as 81, then number of tiles on a side = 2n - 1 = 81 so n = 41.
So number of white tiles = 412−81=1681−81412−81=1681−81 = 1600
Answer:B
Question: If positive integer n is divisible by both 5 and 21, then n must be divisible by which of the following?
A.8
B.15
C.18
D.24
Answer: B.15
Explanation: A number divisible by both 5,21 is 105 which s divisible by 15.
IMO : Answer B 15
Question: The length of a rectangle is reduced by 25%. By what % would the width have to be increased to maintainthe original area?
A.15%
B.20%
C.25%
D.33%
Answer: D.33%
Explanation: Sol. Required change = (25*100)/(100-25)=25%
D
Question: Natasha climbs up a hill, and descends along the same way she went up. It takes her 3 hours to reach the top and 2 hours to come back down. If her average speed along the whole journey is 3 kilometers per hour, what was her average speed (in kilometers per hour) while climbing to the top?
A.1.5
B.2.5
C.3.75
D.5
Answer: B.2.5
Explanation: Lets assume distance to top as X, so the total distance travelled by Natasha = 2x
Total Time taken = 3+ 2 = 5 Hrs
Avg speed = Total Dist/Total time taken = 2x/5
Avg speed of complete journey is given as = 3 Hrs
2 x/5 = 3
X = 7.5 miles
Avg speed while climbing = Distance/Time = 7.5/3 = 2.5
Option B
Question: In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is?
A.1
B.6
C.5
D.6
Answer: A.1
Explanation: Let the duration of the flight be x hours. Then,
600/x - 600/(x + 1/2) = 200
x(2x + 1) = 3 2x2 + x - 3 = 0
(2x + 3)(x - 1) = 0
x = 1 hr.
Answer: A
Question: Half a number plus 5 is 15.What is the number?
A.8
B.20
C.10
D.11
Answer: B.20
Explanation: Let x be the number. Always replace "is" with an equal sign
(1/2)x + 5 = 15
(1/2)x = 15 - 5
(1/2)x = 10
x = 20
correct answer is B
Question: What is the probability of flipping a fair coin nine times and the coin landing on heads on at least two flips?
A.57/64
B.119/128
C.251/256
D.503/512
Answer: C.251/256
Explanation: The number of possible outcomes is 2^9=512.
0 heads: There is 1 way to have all tails.
1 head: There are 9 ways to have one head.
P(0 or 1 head)=10/512=5/256
P(at least 2 heads)=1 - 5/256 = 251/256
The answer is C.
Question: The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?
A.1000
B.888
C.2889
D.2888
Answer: A.1000
Explanation: 100 * 100 = 10000
125 * 80 = 10000
No change
Answer:A
Question: Find the fourth proportional to 2.4, 4.6 and 7.6?
A.14.56
B.14
C.15.34
D.16.2
Answer: A.14.56
Explanation: Formula = Fourth propotional = (b × c)/a
A = 2.4 , B = 4.6 and C = 7.6
(4.6 × 7.6)/2.4 = 14.56
A
Question: What is the greatest prime factor of 3^8 - 1?
A.29
B.31
C.37
D.41
Answer: D.41
Explanation: 3^8-1 = (3^4-1)(3^4+1) = 80*82 = 8*10*2*41
The answer is D.
Question: A man purchased 3 blankets @ Rs.100 each, 2 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
A.278
B.900
C.278
D.450
Answer: B.900
Explanation: 10 * 150 = 1500
3 * 100 + 2 * 150 = 600
1500 – 600= 900
Answer:B
Question: Five percent of a certain grass seed is timothy. If the amount of the mixture needed to plant one acre contains 2 pounds of timothy, how many acres can be planted with 960 pounds of the seed mixture?
A.6
B.12
C.20
D.24
Answer: D.24
Explanation: If the mixture contains 2 pounds of timothy, the mixture must be 40 pounds.
Thus we need 40 pounds of mixture per acre.
960 / 40 = 24 acres
The answer is D.
Question: The true discount on Rs.1600 due to after a certain of 5% per annum is Rs.160. The time after which it is due is
A.27 months
B.20 months
C.23 months
D.12 months
Answer: A.27 months
Explanation: P.W. = Rs. (1600 - 160) = Rs. 1440∴ S.I. on Rs.1440 at 5% is Rs. 160.∴ Time = [100 * 160 / 1440 * 5] = 20/9 years = [20/9 * 12] months = 27 months. Answer : A
Question: How many keystrokes are needed to type numbers from 1 to 100?
A.192
B.100
C.90
D.110
Answer: A.192
Explanation: Explanatory Answer
While typing numbers from 1 to 100, there are 9 single digit numbers: from 1 to 9.
Each of these numbers requires one keystroke.
That is 9 key strokes.
There are 90 two-digit numbers: from 10 to 99.
Each of these numbers requires 2 keystrokes.
Therefore, 180 keystrokes to type the 2-digit numbers.
100 is a three-digit number which requires 3 keystrokes.
Totally, therefore, one requires 9 + 180 + 3 = 192 keystrokes.
Choice A is the correct answer.
Question: Insert the missing number. 2, 7, 10, 22, 18, 37, 26, 52,
A.34
B.52
C.46
D.62
Answer: A.34
Explanation: Explanation :
There are two series here
2, 10, 18, 26, ... (Increase by 8)
7, 22, 37, 52 ... (Increase by 15)
Hence, next term is 26+8 = 34
Answer : Option A
Question: 2400÷20÷10=?
A.43
B.12
C.15
D.20
Answer: B.12
Explanation: 2400 ÷ 20 = 120
120 ÷ 10 = 12
Answer is B
Question: If a positive odd integer N has p positive factors, how many positive factors will 6N have ?
A.p
B.2p
C.P+1
D.2p+1
Answer: A.p
Explanation: I have added some extra text to make this question more GMAT-like:
Let's TEST some values of N
Try N = 3
The factors of 3 are {1, 3}. Here, p =2
So, 2N = (2)(3) = 6
The factors of 6 are {1, 2, 3, 6}. So, we have a total of4
Now check the answer choices:
A) p =2No good. We want an output of4. ELIMINATE
B) 2p = (2)(2) = 4. PERFECT! KEEP B
C) P+1 =2+ 1 = 3 No good. We want an output of4. ELIMINATE
D) 2p+1 = (2)(2) + 1 = 5 No good. We want an output of4. ELIMINATE
E) Cannot be determined. POSSIBLE. KEEP E
Let's TEST another value of N
Try N = 7
The factors of 7 are {1, 7}. Here, p =2
So, 2N = (2)(7) = 14
The factors of 14 are {1, 2, 7, 14}. So, we have a total of4
Now check the REMAINING answer choices:
B) 2p = (2)(2) =4. PERFECT! KEEP B
E) Cannot be determined. POSSIBLE. KEEP E
Let's TEST one more (non-prime) value of N
Try N = 9
The factors of 9 are {1, 3, 9}. Here, p =3
So, 2N = (2)(9) = 18
The factors of 18 are {1, 2, 3, 6, 9}. So, we have a total of6
Now check the REMAINING answer choices:
B) 2p = (2)(3) =6. PERFECT! KEEP B
E) Cannot be determined. POSSIBLE. KEEP E
At this point, it SEEMS LIKELY that the correct answer is A
Question: If x and y and z are two-digit integers such that x > 40, y<70, and z is > 80 and < 90, which of the following is closest to the maximum possible value of xyz ?
A. 700
B. 607,959
C. 4,000
D. 7,000
Answer: B. 607,959
Explanation: To get the maximum possible value of xyz, we need maximize the value of x,y, and z.
max x can be = 99 (given x is a two-digit integer > 40)
max y can be = 69 (given y is a two-digit integer < 70)
max z can be = 89 (given z is a two-digit integer > 80 and < 90)
xy = 99*69*89 = 607,959
Answer (B)
Question: The total of company C's assets in 1994 was 150% greater than the total in 1993, which in turn was 400% greater than the total in 1992. If the total of company C's assets in in 1992 was N dollars, which one of the following represents company C's assets in 1994:
A.7N
B.8N
C.9N
D.12.5
Answer: D.12.5
Explanation: Let's use actual numbers. Starting in 1992, let's say company C had $100 in assets.
In 1993, the total assets were 400% GREATER, which means 1992 PLUS 400% of 1992:
$100 + 4x$100 = $100 + $400 =$500
In 1994, the total assets were 150% GREATER than they were in 1993, which means 1993 PLUS 150% of 1993:
$500 + 1.5x$500 = $1250
This is 12.5 times the 1992 number, so the correct answer is 12.5N.
D
Question: A money lender finds that due to a fall in the annual rate of interest from 8% to 7 3/4 % his yearly income diminishes by Rs. 61.50, his capital is?
A.24,609
B.24,607
C.24,600
D.24,638
Answer: C.24,600
Explanation: Let the capital be Rs. x. Then,
(x * 8 * 1)/100 - (x * 31/4 * 1/100) = 61.50
32x - 31x = 6150 * 4
x = 24,600.
Answer:C
Question: Using all the letters of the word "THURSDAY", how many different words can be formed?
A.8
B.8!
C.7!
D.6
Answer: B.8!
Explanation: Total number of letters = 8
Using these letters the number of 8 letters words formed is
⁸P₈ = 8!.
Answer:B
Question: There are 15 stations between Hyderabad and Bangalore. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
A.272
B.167
C.157
D.352
Answer: A.272
Explanation: The total number of stations = 17
From 17 stations we have to choose any two stations and the direction of travel (i.e., Hyderabad to Bangalore is different from Bangalore to Hyderabad) in 17P₂ ways.
17P₂ = 17 * 16
= 272.
Answer: A
Question: What is the perimeter of a triangle with sides 7 and 3 that has the maximum possible area?
A.10 + 3√7
B.10 + 3√3
C.10 + √58
D.10 + √71
Answer: C.10 + √58
Explanation: We can maximize the area of the triangle by making these two sides the base and the height of a right angle triangle. Then the third side is the hypotenuse with a length of √(49+9) = √58
The perimeter is 10 + √58
The answer is C.
Question: Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph,
he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1
P.M.?
A.9 km/hour
B.10 km/hour
C.11 km/hour
D.12 km/hour
Answer: D.12 km/hour
Explanation: Explanation:
We need to calculate the distance, then we can calculate the Ɵme and finally our answer.
Lets solve this,
Let the distance travelled by x km
Time = Distance/Speed
x10−x15=2[because, 2 pm - 12 noon = 2
hours]3x−2x=60x=60.Time=DistanceSpeedTime@10km/hr=6010=6hours
So 2 P.M. - 6 = 8 A.M
Robert starts at 8 A.M.
He have to reach at 1 P.M. i.e, in 5 hours
So, Speed = 60/5 = 12 km/hr
Answer: D
Question: If x and y are positive integers greater than 1 such that x – y and x/y are both even integers, which of the following numbers must be non-prime integers?
I. x
II. x + y
III. y/x
A.I only
B.II only
C.III only
D.I and II
Answer: D.I and II
Explanation: x - y is an even integer: Therefore, for the equation to hold true, both x and y have to be even.
x/y is an even integer: Therefore, this implies that x has to be greater than y.
We can eliminate option III as y/x will never be an integer (Since x>y)
Statement I, x: x>y, hence x has to greater than 2 and even, therefore divisible by 2 and non-prime.
Statement II, x+y: x+y will be divisible by at least 2 since both x and y are even, hence the sum is non prime.
Thus, option D is the correct answer
Question: If x is an integer, which of the following is a possible value of Q=(x^2 +2x – 7)/9?
A.-2.4
B.0.268
C.1.166 repeating
D.4.555 repeating
Answer: D.4.555 repeating
Explanation: x is an integer, which of the following is a possible value of Q=(x^2 +2x – 7)/9?
Used process of elimination
A. -2.4
when this is multiplied by 9, x is not an integer
B. 0.268
when this is multiplied by 9, x is not an integer
C. 1.166 repeating
when this is multiplied by 9, x is not an integer
D. 4.555 repeating
E. 8.125
when this is multiplied by 9, x is not an integer
Answer choice D seems to fit.D
Question: In a partnership between A, B and C. A's capital is Rs.4000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?
A.9400
B.12798
C.26908
D.11750
Answer: A.9400
Explanation: 200 + 130 = 330
800 - 330 = 470
200 ---- 4000
470 ---- ? => 9400
Answer: A
Question: How many odd, positive divisors does 500 have?
A.6
B.5
C.12
D.15
Answer: B.5
Explanation: Make a prime factorization of a number: 540=2^2*3^3*5 --> get rid of powers of 2 as they give even factors --> you'll have 3^3*5 which has (3+1)(1+1)=5 factors.
Another example: 60=2^2*3*5 it has (2+1)(1+1)(1+1)=12 factors out of which (1+1)(1+1)=4 are odd: 1, 3, 5 and 15 the same # of odd factors as 60/2^2=15 has.
Answer: B.
Question: A vessel of capacity 3 litre has 25% of alcohol and another vessel of capacity 5 litre had 40% alcohol. The total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. What is the new concentration of Mixture?
A.31%.
B.71%.
C.27.5%.
D.29%.
Answer: C.27.5%.
Explanation: 25% of 3 litres = 0.75 litres
40% of 5 litres = 2 litres
Therefore, total quantity of alcohol is 2.75 litres.
This mixture is in a 10 litre vessel. Hence, the concentration of alcohol in this 10 litre vessel is 27.5%
C
Question: A train consists of 12 boggies, each boggy 15 metres long. The train crosses a telegraph post in 18 seconds. Due to some problem, one boggies were detached. The train now crosses a telegraph post in
A.16.5 sec
B.12 sec
C.15 sec
D.20 sec
Answer: A.16.5 sec
Explanation: Length of train = 12 Ã— 15 = 180 m.
Then, speed of train = 180â„18 = 10 m/s
Now, length of train = 11 Ã— 15 = 165m
âˆ´ Required time = 165â„10 = 16.5 sec.
Answer A
Question: The ratio of the ages of three people is 4:6:7. Eight years ago, the sum of their ages was 44. Find their present ages.
A.28,42,49
B.24,36,42
C.20, 30,35
D.16,24,28
Answer: D.16,24,28
Explanation: Let the present ages be 4x, 6x, 7x.
(4x-8) + (6x-8) + (7x-8) = 44
17x = 68
x = 4
Their present ages are 16, 24, and 28.
The answer is D.
Question: ACME’s manufacturing costs for sets of horseshoes include a $12,450 initial outlay, and $20.75 per set. They can sell the sets $50. If profit is revenue from sales minus manufacturing costs, and the company producessells 950 sets of horseshoes, what was their profit?
A.$15300
B.$14300
C.$15337.50
D.$16300
Answer: C.$15337.50
Explanation: Total Manufacturing cost = 12,450+950*20.75 = 32162.5
Total Selling cost = 950*50 = 47500
Profit = 47500-32162.50 = 15337.50
Answer : C
Question: During a trip on an expressway, Don drove a total of x miles. His average speed on a certain 5-mile section of the expressway was 30 miles per hour, and his average speed for the remainder of the trip was 40 miles per hour. His travel time for the x-mile trip was what percent greater than it would have been if he had traveled at a constant rate of 60 miles per hour for the entire trip?
A.400/x%
B.50%
C.x/12%
D.60/x%
Answer: A.400/x%
Explanation: Say x = 5 miles (so no remainder of the trip).
Time to cover x = 5 miles at 30 miles per hour = (time) = (distance)/(rate) = 5/30 = 1/6 hours = 10 minutes.
Time to cover x = 5 miles at 60 miles per hour = (time) = (distance)/(rate) = 5/40 = 1/8 hours = 5 minutes.
(Or simply, half rate will result in doubling the time.)
So, we can see that the time to cover x = 4 miles at 30 miles per hour (10 minutes) is 100% greater than the time to cover x = 4 miles at 60 miles per hour (5 minutes).
Now, plug x = 4 miles into the answer choices to see which one yields 100%. Only answer E works.
Answer: A.
Question: The area of a parallelogram is 98sq m and its altitude is twice the corresponding base. Then the length of the base is?
A.8
B.9
C.7
D.6
Answer: C.7
Explanation: 2x * x = 98 => x= 7
Answer: C
Question: A train 630 m long, running with a speed of 63 km/hr will pass a tree in?
A.35
B.36
C.37
D.38
Answer: B.36
Explanation: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 630 * 2/35 = 36 sec
Answer: Option B
Question: Buses A and B start from a common bus stop X. Bus A begins to travel in a straight line away from bus B at a constant rate of 30 miles per hour. One hour later, bus B begins to travel in a straight line in the exact opposite direction at a constant rate of 70 miles per hour. If both buses travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes bus B to cover the exact distance that bus A has covered and the amount of time it takes bus B to cover twice the distance that bus A has covered?
A.36
B.72
C.122
D.144
Answer: C.122
Explanation: 1st part: - In 1hr, Bus A covers 30 miles.
Relative speed of bus ABus B is (80-30) = 50mph.
So time required for Bus B to cover the exact distance as A is
50*t = 30
t=3/5 = 36min
2nd part
80*t=2d - B has to cover twice the distance
30*(t+1) = d - A traveled 1hr more and has to travel only only d
so
d/30 - 2d/80 = 1
D=120
T= 3hrs = 180 min
Question asks for +ve difference between part 1 and part 2 in minutes
= 180-36 = 122min
C
Question: total no. of players is 99 other than me.50 plays soccer,45 plays basket ball,50 play valley ball.15 play all three. How many will play only 2 games?
A.40
B.50
C.60
D.70
Answer: C.60
Explanation: let A=soccer players..B=basket ball players..C=vollyball players
n(A U B U C)=n(A) + n(B) + n(C) - n(A INTERSECTION B) - n(A INTERSECTION C) - n(C INTERSECTION B) + n(A INTERSECTION B - INTERSECTION C)
therefore..
100=50+45+50-intersections+15
hence..intersections=145-100+15=60 play only 2 games..
ANSWER:C
Question: 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.16 km/hr
B.50 km/hr
C.19 km/hr
D.15 km/hr
Answer: B.50 km/hr
Explanation: Speed of the train relative to man
= (125/10) m/sec
= (25/2) m/sec. [(25/2) * (18/5)] km/hr
= 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed
= (x - 5) km/hr. x - 5 = 45 ==> x
= 50 km/hr.
Answer: B
Question: The speed of a car is 80 km in the first hour and 60 km in the second hour. What is the average speed of the car?
A.50 kmph
B.60 kmph
C.70 kmph
D.80 kmph
Answer: C.70 kmph
Explanation: S = (80 + 60)/2 = 70 kmph
ANSWER:C
Question: A monkey ascends a greased pole 22 meters high. He ascends 2 meters in the first minute and then slips down 1 meter in the alternate minute. If this pattern continues until he climbs the pole , in how many minutes would he reach at the top of the pole ?
A.40th minute
B.41st minute
C.43rd minute
D.42nd minute
Answer: B.41st minute
Explanation: The money is climbing 1meter in 2min. This pattern will go on till he reaches 20meters. I mean this will continue for first 20*2=40mins. he would have reached 20meters. After that he will climb 2meters and he will reach the pole. So total time taken = 40 + 1 = 41mins.
So, asnwer will be B