mathewhe/aqua_rat huggingface dataset:
Question: Patrick and Eric are on the two opposite banks of a river. They both have a rowing boat.
They both start at the same time towards the opposite bank. They pass each other at 180 meters from the bank where Patrick departed. When reaching the opposite bank, they both take a rest for the same amount of time before they return. On the way back, they pass each other at 100 meters from the bank from where Patrick returned.
Patrick and Eric both row with a constant speed, but Eric rows faster.
How wide is the river?
(A) 350 m
(B) 250 m
(C) 443 m
(D) 500 m
(E) 440 m
Rationale: E
440 meters
Call the requested width of the river r.
The first time that Patrick and Eric meet, the total distance that they have traveled together equals the width of the river, or r. The second time that Patrick and Eric meet, the total distance that they have traveled together equals twice the width of the river plus the width of the river, so 3 × r. Because Patrick and Eric row with a constant speed, it also holds that the distance that Patrick traveled in total at the second meeting, equals 3 times the distance that Patrick traveled in total at the first meeting.
The distance that Patrick traveled in total at the first meeting is 180. The distance that Patrick traveled in total at the second meeting is r + 100. When we combine the above, we get the following equation:
3 × 180 = r + 100.
When we solve this equation we find that r = 440.
Therefore, the river is 440 meters wide.
Answer: (E) 440 m
Question: A certain series is defined by the following recursive rule: Sm=K(Sm-1) , where k is a constant. If the 1st term of this series is 64 and the 25th term is 192, what is the 9th term?
(A) ROOT 2
(B) ROOT 3
(C) 64*ROOT 3
(D) 64*3^1/3
(E) 64*3^24
Rationale: Ans...D
No need for any GP formula here
The rule is that mth term is K times the (m-1)th term.
1st = 64
2nd = k.64
3rd = k^2.64
.
.
.
9th term = k^8 *64
.
.
.
so 25th = k^24*64
Using this solve for k and substitute k in the equation for the 9th term
Answer: (D) 64*3^1/3
Question: Each student at a certain business school is assigned a 7-digit student identification number. The first digit of the identification number cannot be zero, and the last digit of the identification number must be prime. How many different student identification numbers can the school create?
(A) 9,000
(B) 3,600
(C) 2,700
(D) 2,592
(E) 3,600,000
Rationale: The identification number is of the form _ _ _ _
1. First digit cannot be 0
2. Middle digits can be anything
3. Last digit has to be prime - 2, 3, 5, 7
We can have the following number of possibilities for each space
__ __ __ __
9 10 10 10 10 10 4
Total cases = 3,600,000
Answer : E
Answer: (E) 3,600,000
Question: A piece of paper is in the shape of a right angled triangle and is cut along a line that is parallel to the hypotenuse, leaving a smaller triangle. There was a 35% reduction in the length of the hypotenuse of the triangle. If the area of the original triangle was 34 square inches before the cut, what is the area (in square inches) of the smaller triangle?
(A) 16.665
(B) 16.565
(C) 15.465
(D) 14.365
(E) 14.378
Rationale: Explanation :
Smaller triangle and original triangle will be similar to each other.
Ratio of area= (ratio of side)2
Area of smaller triangle = area of original triangle *(65/100)2
= 14.365.
Answer : D
Answer: (D) 14.365
Question: In a Company, there are certain number of team members and certain number of team leaders. If five team members are assigned to each team leader, then one member is left out without team leader. If six members are assigned to each team leader, then one team leader has no member at all. Find the number of team leaders in that company?
(A) 7
(B) 36
(C) 5
(D) 8
(E) 9
Rationale: on the basis of question
x = 5y+1
x = 6(y-1)
on solving these 2 equations x = 36
ANSWER:B
Answer: (B) 36
Question: At the start of an experiment, a certain population consisted of 3 animals. At the end of each month after the start of the experiment, the population size was double its size at the beginning of that month. Which of the following represents the population size at the end of 8 months?
(A)  2^3
(B)  3^2
(C)  2(3^10)
(D)  3(2^8)
(E)  3(10^2)
Rationale: 3*2^n where n is the #of month --> 3*2^8 Answer (D)
Answer: (D)  3(2^8)
Question: In a queue that comprises of 7 students. Sam and Tom are in the queue, what is the probability that they will be standing next to each other in the queue?
(A)  7%
(B)  14%
(C)  21%
(D)  28%
(E)  35%
Rationale: Possible Sitting position is 7! = 120
Sam and Tom standing next to each other is 7 Combination 2
=7!/2!(7-2)!
=5040/2(120)
=5040/240
= 21
Answer = C
Answer: (C)  21%
Question: A diet contains 400 grams of a mixture of two foods, food X and food Y. Food X contains 10 percent protein and food Y contains 15 percent protein. If a diet provides exactly 47 grams of protein daily, how many grams of food X are in the mixture?
(A) 240
(B) 260
(C) 280
(D) 300
(E) 320
Rationale: Let x be the number of grams of food X in the mixture.
0.1x + 0.15(400-x) = 47
0.05x = 13
x = 260
The answer is B.
Answer: (B) 260
Question: David works at a resort from the beginning of March to the end of September. During the month of August this past year, he made 4 times the average (arithmetic mean) of his monthly totals in tips for the other months. His total tips for August were what fraction of his total tips for all of the months he worked?
(A) 3/5
(B) 2/5
(C) 4/5
(D) 1/5
(E) 6/5
Rationale: First notice the number of months for which he worked - March to Sept i.e. 7 months
Avg of monthly totals in tips for months other than August = x
Tips in August = 4x
Total tips for all months = 6*x + 4x = 10x
Tips for August/Total tips for all months = 4x/10x = 2/5
Answer : B
Answer: (B) 2/5
Question: If a certain number is divided by 12, the quotient, dividend, and divisor, added together, will amount to 64. What is the number?
(A) 47
(B) 48
(C) 49
(D) 50
(E) None
Rationale: Solution
Let x = the number sought.
Then x/12 + x + 12 = 64.
And x - 624/13 = 48.
Answer B
Answer: (B) 48
Question: Ravi invested certain amount for two rates of simple interests at 6% p.a. and 7% p.a. What is the ratio of Ravi's investments if the interests from those investments are equal?
(A) 7 : 9
(B) 7 : 6
(C) 7 : 0
(D) 7 : 2
(E) 7 : 1
Rationale: Let x be the investment of Ravi in 6% and y be in 7%
x(6)(n)/100 = y(7)(n)/100
=> x/y = 7/6
x : y = 7 : 6
Answer:B
Answer: (B) 7 : 6
Question: What is the area of the square with the following coordinates: (x, y), (20, 20), (20, 5), (x, 5)?
(A) 60.
(B) 85.
(C) 125
(D) 225
(E) It cannot be determined from the information given
Rationale: Irrespective of the values of x and y, we can find the length of one side of the square = distance between (20,20) and
(20,5) = 15.
Area = 15^2 = 225.
ANSWER:D
Answer: (D) 225
Question: A person covered one-fourth of the total distance at 6 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
(A) 10(5/7)kmph
(B) 21(2/3) kmph
(C) 13 (5/7)kmph
(D) 15 (5/7)kmph
(E) 13 (2/7)kmph
Rationale: Let the total distance be x km
total time taken = (x/4)/6 + (3x/4)/24 = x/24 + x/32 = 7x/96
Average speed = x/(7x/96) = 96/7kmph = 13 (5/7)kmph.
ANSWER:C
Answer: (C) 13 (5/7)kmph
Question: A no.when divided by 221 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?
(A) 2
(B) 7
(C) 9
(D) 11
(E) 15
Rationale: 221 + 43 = 264/17 = 9 (Remainder)
C
Answer: (C) 9
Question: A, B and C can do a piece of work in 6 days, 12 days and 30 days respectively. How long will they taken, if all the three work together?
(A) 3 9/17
(B) 4
(C) 5
(D) 67
(E) 9
Rationale: 1/6 + 1/12 + 1/30 = 17/60 => 60/17 => 3 9/17 days
Answer:A
Answer: (A) 3 9/17
Question: If Rs 1050 is divided into three parts, proportional to (1 / 3) : (3 / 4) : ( 4 / 6), then what is the first part?
(A) 238
(B) 2767
(C) 200
(D) 288
(E) 171
Rationale: Given:
1050 =	1	:	3	:	4
3	4	6
1) L.C.M. of 3, 4 and 6 is 12
Therefore, multiply numerator and denominator of (1/3) with 4, to obtain denominator 12. Similarly multiply (3/4) with 3 and (4/6) with 2
4	:	9	:	8	= 4 : 9 : 8
12	12	12
2) If a number a is divided in three ratios x : y : z,
First Part:	ax	------- (a is the number divided)
(x + y + z)
Therefore,
First Part:	(1050 x 4)	= 200
(4 + 9 + 8)
Correct option :C
Answer: (C) 200
Question: A man buys a cycle for Rs. 1800 and sells it at a loss of 10%. What is the selling price of the cycle?
(A) 1410
(B) 1620
(C) 1430
(D) 1440
(E) 1540
Rationale: S.P. = 90% of Rs. 1800 = 90/100 x1800= Rs. 1620
answer : B
Answer: (B) 1620
Question: The center of a circle lies on the origin of the coordinate plane. If a point (x, y) is randomly selected inside of the circle, what is the probability that y > 0 or y > x?
(A) 5/8
(B) 1/6
(C) 3/8
(D) 1/2
(E) 3/4
Rationale: The line y=x divides the circle into two equal areas.
All the points above the line y=x satisfy the condition that y > x.
All the points above the x-axis satisfy the condition that y > 0.
The union of these two areas is 5/8 of the circle.
The answer is A.
Answer: (A) 5/8
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?
A.	7
B.	8
C.	9
D.	10
Explanation:
(A) 5
(B) 7
(C) 9
(D) 10
(E) 11
Rationale: Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.
(2x + 2) + 2x + x = 27
5x = 25
x = 5.
Hence, B's age = 2x = 10 years.
Answer: Option D
Answer: (D) 10
Question: What is the largest 4 digit number exactly divisible by 88
(A) 9900
(B) 9999
(C) 9988
(D) 9944
(E) None of these
Rationale: Explanation:
Largest 4 digit number is 9999
After doing 9999 ÷ 88 we get remainder 55
Hence largest 4 digit number exactly divisible by 88 = 9999 - 55 = 9944
Option D
Answer: (D) 9944
Question: How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 4 m x 2 m x 25 cm?
(A) 5600
(B) 6000
(C) 1185
(D) 7200
(E) 8600
Rationale: Number of bricks =Volume of the wall/Volume of 1 brick =	(400 x 200 x 25)/(25 x 11.25 x 6) = 1185.
Answer: Option C
Answer: (C) 1185
Question: The mean of 40 observations was 36. It was found later that an observation 34 was wrongly taken as 20. The corrected new mean is
(A) 76.55
(B) 36.35
(C) 46.15
(D) 16.05
(E) 20
Rationale: Explanation:
Correct Sum = (36 * 40 + 34 - 20) = 1454
Correct mean = = 1454/40 = 36.35
Answer: B
Answer: (B) 36.35
Question: The average of three numbers is 29. The average of two of these numbers is 38. What is the third number?
(A) 10
(B) 14
(C) 11
(D) 17
(E) 19
Rationale: C
11
3 numbers 29 x 3 = 87 total
2 numbers 38 x 2 = 76 total
The third number must therefore be 87 - 76 = 11.
Answer: (C) 11
Question: A telephone number contains 10 digit, including a 3-digit area code. Bob remembers the area code and the next 5 digits of the number. He also remembers that the remaining digits are not 0, 1, 2, 3, 5, 6, or 7. If Bob tries to find the number by guessing the remaining digits at random, the probability that he will be able to find the correct number in at most 2 attempts is closest to which of the following?
(A) 1/9
(B) 2/9
(C) 1/6
(D) 1/18
(E) 5/36
Rationale: There are 3*3 = 9 possibilities.
Bob has 2 chances so the probability is 2/9.
The answer is B.
Answer: (B) 2/9
Question: A bus traveled from its depot to its destination at an average speed of 60 kilometers per hour. On its return to the depot along the same route, the bus traveled at an average speed of only 40 kilometers per hour, making the trip 4 hours longer. What is the total distance of the round trip?
(A) 360 kilometers
(B) 400 kilometers
(C) 600 kilometers
(D) 800 kilometers
(E) 960 kilometers
Rationale: Let time for first trip be x hrs
For first trip distance travelled = 60x
For round trip distance travelled 40(x+4) = 40x+160
60x = 40x + 160
x = 8 hrs.
Total Round trip distance = 60*8*2 = 960 kilometers E
Answer: (E) 960 kilometers
Question: Find the no.of ways of arranging the boy and 8 guests at a circular table so that the boy always sits in a particular seat?
(A) 3!
(B) 8!
(C) 7!
(D) 9!
(E) 11!
Rationale: Ans.(B)
Sol. Total number of persons = 9 Host can sit in a particular seat in one way. Now, remaining positions are defined relative to the host. Hence, the remaining can sit in 8 places in 8P8 = 8! Ways ... The number of required arrangements = 8! x 1= 8! = 8! ways
Answer: (B) 8!
Question: A group of four mens and three womens have tickets for seven adjacent seats in one row of a theater. If the three womens will not sit in three adjacent seats, how many possible different seating arrangements are there for these 7 theatre-goers?
(A) 7! – 2!3!2!
(B) 7! – 4!3!
(C) 7 × 2!3!2!
(D) 7! – 6!3!
(E) None of these
Rationale: There are 3 boys and 4 girls , we want to calculate the seating arrangements if three boys do not sit together, like WWW.
Let's calculate the # of arrangements when they SIT together and subtract from total # of arrangements of these 7 persons without restriction. Thus we'll get the # of arrangements asked in the question.
1. Total # of arrangements of 7 is 7!.
2. # of arrangements when 3 boys are seated together, like WWW;
Among themselves these 3 boys can sit in 3! # of ways,
Now consider these 3 boys as one unit like this {WWW}. We'll have total of 5 units: {WWW}{M}{M}{M}{M}. The # of arrangements of these 5 units is 5!.
Hence total # of arrangements when 3 men sit together is: 3!5!.
# of arrangements when 3 womens do not sit together would be: 7!-3!5!.
Answer: E).
Answer: (E) None of these
Question: If an integer n is to be selected at random from 1 to 900, inclusive, what is probability n(n+1) will be divisible by 9?
(A) 1/9
(B) 1/3
(C) 1/2
(D) 2/9
(E) 2/3
Rationale: For n(n+1) to be a multiple of 9, either n or n+1 has to be a multiple of 9.
Thus n must be of the form 9k or 9k-1.
The probability is 2/9.
The answer is D.
Answer: (D) 2/9
Question: Aamir saves 32% of his monthly salary. If he spends Rs. 27200, then find his savings?
(A) 12890
(B) 12890
(C) 15800
(D) 12800
(E) 18800
Rationale: Let the monthly salary of Aamir be Rs. x.
68% of x = 27200
=> x = (27200 * 100)/68 = 40000
His savings = 32/100 * 40000 = 12800.
Answer:D
Answer: (D) 12800
Question: Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
(A) 7 1/6 sec
(B) 7 3/2 sec
(C) 7 1/7 sec
(D) 7 1/2 sec
(E) 3 3/2 sec
Rationale: 70 + 50 = 120 * 5/18 = 100/3 mps
D = 150 + 100 = 250 m
T = 250 * 3/100 = 15/2 = 7 1/2 sec
Answer:D
Answer: (D) 7 1/2 sec
Question: A man walks at a speed of 3 km/hr and runs at a speed of 6 km/hr. How much time will the man require to cover a distance of 18 km, if he completes half of the distance, i.e., (9) km on foot and the other half by running?
(A) 6
(B) 5
(C) 3
(D) 4
(E) 4.5
Rationale: Required time = (9)/3 + (9)/6 = 4.5 hours.
Answer:E
Answer: (E) 4.5
Question: Evaluate: 45 - 12*3*2 = ?
(A) 62
(B) 52
(C) 37
(D) 12
(E) 22
Rationale: According to order of operations, 12?3?2 (division and multiplication) is done first from left to right
12**2 = 4* 2 = 8
Hence
45 - 12*3*2 = 45 - 8 = 37
correct answer C
Answer: (C) 37
Question: In a race where 8 cars are running, the chance that car X will win is 1/2, that Y will win is 1/4 and that Z will win is 1/3. Assuming that a dead heat is impossible, find the chance that one of them will win.
(A) 1/140
(B) 11/12
(C) 14/8
(D) 13/12
(E) 57/120
Rationale: Required probability = P(X) + P(Y) + P(Z) (all the events are mutually exclusive).
= 1/2 + 1/4 + 1/3
= 13/12
ANSWER:D
Answer: (D) 13/12
Question: The diagonals of a rhombus are 15 cm and 20 cm. Find its area?
(A) 987
(B) 247
(C) 150
(D) 267
(E) 121
Rationale: 1/2 * 15 * 20
= 150
Answer:C
Answer: (C) 150
Question: In the Land of Oz only one or two-letter words are used. The local language has 65 different letters. The parliament decided to forbid the use of the seventh letter. How many words have the people of Oz lost because of the prohibition?
(A) 65
(B) 66
(C) 67
(D) 131
(E) 130
Rationale: The answer to the question is indeed E. The problem with above solutions is that they do not consider words like AA, BB, ...
The number of 1 letter words (X) that can be made from 65 letters is 65;
The number of 2 letter words (XX) that can be made from 65 letters is 65*65, since each X can take 65 values.
Total: 65+65*65.
Similarly:
The number of 1 letter words (X) that can be made from 64 letters is 64;
The number of 2 letter words (XX) that can be made from 64 letters is 64*64, since each X can take 64 values.
Total: 64+64*64.
The difference is (65+65*65)-(64+64*64)=130.
Answer: E.
Answer: (E) 130
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) 76
(B) 50
(C) 88
(D) 12
(E) 81
Rationale: 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
Answer: (B) 50
Question: Marie earns $16 per hour for overtime hours. She worked 8 hours overtime last week
and 6 hours overtime this week. Which expression could be used to find Marie’s overtime pay for
the two-week period?
(A) $16 8 6
(B) $16(8 6)
(C) 8(6) $16
(D) 6($16 8)
(E) 8(6) 8($16)
Rationale: You’re right if you chose (2) $16(8 6). In this expression, $16 (the overtime hourly wage) is
multiplied by the sum of 8 and 6 (the total overtime hours worked).
There is another way to work the problem. You could find the overtime pay for each week and
add: $16(8) $16(6). Both choice (2) and this expression yield the same result. Both are correct.
$16(8 6) $16(14) $224 $16(8) $16(6) $128 $96 $224
correct answer B
Answer: (B) $16(8 6)
Question: For any integer k greater than 1, the symbol k* denotes the product of all integers between 1 and k, inclusive. If k* is a multiple of 3,675, what is the least possible value of k?
(A) 12
(B) 14
(C) 15
(D) 21
(E) 25
Rationale: We basically need 5,5,3,7 and 7 in the number.
14!, has 3, 5, 7, 10, 14
now 10 = 2 x5
14 = 2x 7
cross check:
K! = 3675 * M (M is a positive integer)
K! = 3 * 5 * 5 * 7 * 7
14! has all the numbers above.. therefore B..!
ANSWER:B
Answer: (B) 14
Question: A man can row with a speed of 20 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
(A) A)63kmph
(B) B)63kmph
(C) C)25kmph
(D) D)62kmph
(E) E)74kmph
Rationale: Explanation:
M = 20
S = 5
DS = 20 + 5 = 25
Answer: Option C
Answer: (C) C)25kmph
Question: W and F represent two distinct digits. If the number 457W89F is divisible by 36, what is the value of (W+F)?
(A) a) 9
(B) b) 3
(C) c) 12
(D) d) 6
(E) e) 10
Rationale: A no. divisible by 36 means it is div by 49 .
to be div by 4 last 2 digits to be multiple of 4 So, F could be either 2 or 6 only
similarly for a number to be div by 9 its sum must be multiple of 9 first. filtering we find W could be either 1,4,7 only.
To be divisible by 9 only 1 works .(if we choose f=6 then W have to be 6 but as per condition WF are distinct) So
W=1
F=2
Ans:- 3.B
Answer: (B) b) 3
Question: A 7-in. pizza cost $8 and a 14-in . pizza cost $20. tommy says the smaller pizza is a better buy because the larger is twice as big and more than twice as expensive. do you agree with his reasoning?
(A) Yes
(B) No
(C) yes , but pizza so expensive
(D) no i did like to purchase pizza in this shop
(E) neutral
Rationale: No, pizza looks like a circle, and we know that area of a circle depends on the radius. Area of a circle = nr(squared), here pi (n) is constant.
so we can clearly say that area of a circle is proportional to the square of the diameter. similarly the cost a pizza depends on its area not its diameter. correct answer : (B)
Answer: (B) No
Question: A monkey ascends a greased pole 19 metres high. He ascends 2 metres in first minute and slips down 1 metre in the alternate minute. In which minute, he reaches the top ?
(A) 21st
(B) 22nd
(C) 23rd
(D) 35th
(E) None of these
Rationale: In 2 minutes, he ascends = 1 metre
âˆ´ 17 metres, he ascends in 34 minutes.
âˆ´ He reaches the top in 35th minute.
Answer D
Answer: (D) 35th
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 25 cm?
(A) 827 cm2
(B) 216 cm2
(C) 285 cm2
(D) 178 cm2
(E) 475 cm2
Rationale: Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them)
= 1/2 (20 + 18) * (25)
= 475 cm2
Answer:E
Answer: (E) 475 cm2
Question: A boy rides his bicycle 20km at an average speed of 20km/hr and again travels 30km at an average speed of 10km/hr. His average speed for the entire trip is approximately?
(A) 10.6km/hr
(B) 8.9km/hr
(C) 15.5km/hr
(D) 12.5km/hr
(E) 15km/hr
Rationale: Total distance traveled = 20+30 = 50km
Total time taken = 20/20 + 30/10 = 4 hrs
Average speed = 50/4 = 12.5km/hr
Answer is D
Answer: (D) 12.5km/hr
Question: The average marks of a class of 12 students is 40 and that of another class of 28 students is 60. Find the average marks of all the students?
(A) 52.2
(B) 59.5
(C) 52.8
(D) 52.5
(E) 54.0
Rationale: Sum of the marks for the class of 12 students = 12 * 40 = 480
Sum of the marks for the class of 28 students = 28 * 60 = 1680
Sum of the marks for the class of 40 students =
480 + 1680 =2160
Average marks of all the students = 2160/40
= 54
Answer:E
Answer: (E) 54.0
Question: In how many ways can the letters of the word APPLES be arranged in a row so that the vowels appear in alphabetic order?
(A) 220
(B) 320
(C) 360
(D) 420
(E) 222
Rationale: three letters can be arranged in 2! ways.
only one combination AEI is required.
6 letters can be arranged in 6! ways.
thus 6!/ 2! * 1 = 360.
C
Answer: (C) 360
Question: Set R is composed of nine numbers, labeled R1 through R9. Set S is also composed of nine numbers, labeled S1 through S9. Set S is defined as follows: S1 = 1 + R1; S2 = 2 + R2; and so on, including S9 = 9 +R9. How much larger is the sum of set S's mean and range than the sum of set R's mean and range?
(A) 8
(B) cannot be determined
(C) 4
(D) 6
(E) 9
Rationale: Yes, the correct answer is B
Answer: (B) cannot be determined
Question: A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
(A) 28
(B) 277
(C) 12
(D) 99
(E) 32
Rationale: Original price = 100
CP = 80
S = 80*(140/100) = 112
100 - 112 = 12%
Answer: C
Answer: (C) 12
Question: 3/8 of 168 * 15 / 5 + X = 549 / 9 + 275
(A) 107
(B) 147
(C) 10
(D) 296
(E) None of these
Rationale: Explanation:
Let 3/8 of 168 * 15 / 5 + X = 549 / 9 + 275
Then, 63 * 15 / 5 + X = 61 + 275
63 * 3 + X = 336
189 + X = 336
X = 147
ANSWER B
Answer: (B) 147
Question: The radius of a semi circle is 6.6 cm then its perimeter is?
(A) 32.7
(B) 32.4
(C) 22.4
(D) 33.9
(E) 32.1
Rationale: 36/7 r = 6.6 = 33.9
Answer:D
Answer: (D) 33.9
Question: Ten cards numbered 1 to 10 are placed in a box and then one card is drawn randomly. If it is known that the number on the drawn card is more than 5, what is the probability that it is an odd number?
(A) 2/7
(B) 3/7
(C) 1/5
(D) 2/5
(E) 3/10
Rationale: There are 5 numbers higher than 5 and 2 of them are odd.
The probability is 2/5.
The answer is D.
Answer: (D) 2/5
Question: A Train T1 starts from Ahmedabad to Mumbai at 7 am and reaches at 12 noon. A second train T2 starts at 7 am from Mumbai reaches Ahmedabad at 1 pm. When did the two train cross each other ?
(A) 10.13 am
(B) 10.00 am
(C) 9.43 am
(D) 9.35 am
(E) none of these
Rationale: Let the distance be x between the two stations.
Train T1 takes 5 hours to reach Mumbai.
Train T2 takes 6 hours to reach Ahemedabad.
Relative speed of both the train will be added = x/5 + x/ 6 = 11x/30
Time taken = (x/11)*(x/30) = 30/11
or, (30 X 60 )/11 =~ 2.43 hours
so 7 + 2.43 = 9.43 am
ANSWER:C
Answer: (C) 9.43 am