mathewhe/aqua_rat huggingface dataset:
Question: A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 40 percent of the drive from the center, what percent of the round-trip has the technician completed?
(A) 5%
(B) 70%
(C) 25%
(D) 40%
(E) 55%
Rationale: The complete round trip consists of driving to the service center and then back home again.
So, once the technician drives to the service center he/she has already competed 50% of the entire trip.
Since the technician completes a portion of the trip back home,the correct answer must be greater than 50%
so 0.5+0.5*0.4=0.70
Answer:
B
Answer: (B) 70%
Question: What is the square root of 261,121?
(A) 476
(B) 489
(C) 497
(D) 511
(E) 524
Rationale: 1) Checking the last digits in the answer options A, C, E are out since last digit of the square is known to be 1.
2) B = 489^2 and D = 511^2
B = (500-11)^2 and D = (500 + 11)^2
Since we need the answer less than 250000 => B is out.
Thus we have D as the ans.
Answer: (D) 511
Question: B is 50% less efficient than A. How much time will they, working together, take to complete a job which A alone could have done in 15 days?
(A) 9 days
(B) 11 days
(C) 10 days
(D) 15 days
(E) None of these
Rationale: Ratio of times taken by A and B = 100 : 150 = 2 : 3.
Suppose B takes x days to do the work.
Then, 2 : 3 : : 15 : x â‡’ x = (15Ã—3)/2 â‡’ x = 45â„2
A's 1 dayâ€™s work = 1â„15; Bâ€™s 1 days work = 2â„45
(A + B)â€™s 1 dayâ€™s work = (1â„15 + 2â„45) = 1â„9
âˆ´ A and B together can complete the job in 9 days.
Answer A
Answer: (A) 9 days
Question: 14 men can complete a piece of work in 25 days. In how many days can 20 men complete that piece of work?
(A) 27.5 days
(B) 15.5 days
(C) 17.5 days
(D) 16.5 days
(E) 18.5 days
Rationale: 14 * 25 = 20 * x => x = 17.5 days
ANSWER:C
Answer: (C) 17.5 days
Question: In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?
(A) 29.42
(B) 29.22
(C) 29.25
(D) 23.25
(E) 29.28
Rationale: Average of 9 = x
9x = 8 * 3 + x * 2 x = 3.25
Total = 9 * 3.25 = 29.25
Answer:C
Answer: (C) 29.25
Question: The average weight of a group of 30 friends increases by 10 kg when the weight of additional 30 friends was added. If average weight of the whole group after including the additional 30 members is 40 kg, what is the average weight of the additional friends?
(A) 50 kg
(B) 60 kg
(C) 61 kg
(D) 62 kg
(E) 91 kg
Rationale: let a=avg. wt. of additional 30 friends
original total weight=(30 friends)(30 kg avge)=900kg
(900+30a)/(30+30)=40 kg avge
a=50 kg
Answer - A
Answer: (A) 50 kg
Question: If p^2 – 13p + 40 = h, and p is a positive integer between 1 and 10, inclusive, what is the probability that h < 0?
(A) 1/10
(B) 1/5
(C) 2/5
(D) 3/5
(E) 3/10
Rationale: p2 – 13p + 40 = h
so (p – 8)(p – 5) = h
For q to be negative, the expressions (p – 8) and (p – 5) must have opposite signs. Which integers on the number line will yield opposite signs for the expressions (p – 8) and (p – 5)? Those integers in the range 5 < p < 8 (notice 5 and 8 are not included because they would both yield a value of zero and zero is a nonnegative integer). That means that there are only two integer values for p, 6 and 7, that would yield a negative q. With a total of 10 possible p values, only 2 yield a negative q, so the probability is 2/10 or 1/5.
The correct answer is B.
Answer: (B) 1/5
Question: A man walks at a rate of 10 mph. After every ten miles, he rests for 5 minutes. How much time does he take to walk 50 miles?
(A)  300
(B)  318
(C)  320
(D)  324
(E)  330
Rationale: To cover 50 miles the man needs (time) = (distance)/(rate) = 50/10 = 5 hours = 300 minutes. He will also rest 4 times (after 10, 20, 30 and 40 miles), so total resting time = 4*5 = 20 minutes.
Total time = 300 + 20 = 320 minutes.
Answer: C.
Answer: (C)  320
Question: A cyclist bikes x distance at 12 miles per hour and returns over the same path at 8 miles per hour. What is the cyclist's average rate for the round trip in miles per hour?
(A) 8.1
(B) 8.3
(C) 9.6
(D) 8.9
(E) 9.0
Rationale: Distance = d1 = x miles
Speed = s1 = 12 miles per hour
Time = t1 = Distance/ Speed = x/12
2. Going from B to A
Distance = d2 = x miles
Speed = s2 = 8 miles per hour
Time = t2 = Distance/ Speed = x/8
3. Average Speed = Total Distance/Total Time
Total Distance = x + x = 2x
Total Time = x/12 + x/8 = x (1/12 + 1/8) = =5x/24
Speed = 2x/(5x/24) = 48/5
= 9.6
Answer : C
Answer: (C) 9.6
Question: There are two bags, one of which contains 5 red and 7 white balls and the other 3 red and 12 white balls. A ball is to be drawn from one or other of the two bags ; find the chances of drawing a red ball.
(A) 7/120
(B) 17/120
(C) 27/120
(D) 37/120
(E) 47/120
Rationale: P(Getting a red ball from the first bag): (1/2)*(5/12)
P(Getting a red ball from the 2nd bag): (1/2)*(3/15)
P(Drawing a red ball):
(1/2)*(5/12)+(1/2)*(3/15)= 37/120
ANSWER:D
Answer: (D) 37/120
Question: The triplicate ratio of 1:3 is?
(A) 1:0
(B) 1:8
(C) 1:27
(D) 1:2
(E) 1:1
Rationale: 13: 33 = 1:27
Answer: C
Answer: (C) 1:27
Question: A man two flats for $675958 each. On one he gains 12% while on the other he loses 12%. How much does he gain or lose in the whole transaction?
(A) 1.44%
(B) 2.56%
(C) 3.12%
(D) 4.65%
(E) 5.12%
Rationale: In such a case there is always a loss
Loss% = (12/10)^2 = 36/25 = 1.44%
Answer is A
Answer: (A) 1.44%
Question: Which is the middle even number between 4 and 12?
(A) 9
(B) 12
(C) 14
(D) 8
(E) 22
Rationale: 4+x = 12-x
2 x = 8
X = 4
Now 4+x = 8
ANSWER:D
Answer: (D) 8
Question: 3889 + 12.674 - ? = 3854.002
(A) A)47.095
(B) B)47.752
(C) C)47.932
(D) D)47.95
(E) E)47.672
Rationale: Let 3889 + 12.674 - x = 3854.002.
Then x = (3889 + 12.674) - 3854.002
= 3901.674 - 3854.002
= 47.672.
Answer = E
Answer: (E) E)47.672
Question: It takes John 20 minutes to walk to the car park and 45 to drive to work. At what time should he get out of the house in order to get to work at 9:00 a.m.?
(A) 7:50
(B) 7:45
(C) 6
(D) 5
(E) 4
Rationale: The time it takes John to get to work: time to walk to car park + time to drive
20 + 45 = 70 minutes = 1 hour and 10 minutes
John needs to get out of the house 1 hour and 10 minutes before 9:00 am at
9:00 - 1:10 = 7:45 a.m.
B
Answer: (B) 7:45
Question: The length of the bridge, which a train 160 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
(A) 245
(B) 777
(C) 282
(D) 266
(E) 215
Rationale: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (160 + x)/30 = 25/2 => 2(160 + x) = 750 => x = 215 m.
Answer: E
Answer: (E) 215
Question: A cyclist rides a bicycle 9 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 9 km/hr. What is the average speed for the entire trip?
(A) 9.5
(B) 9.8
(C) 10.1
(D) 10.6
(E) 11.2
Rationale: distance = 21 km
time = 9/12 + 12/9 = (81 + 144) / 108 = 225 / 108 = 25/12 hours
average speed = (21 * 12) / 25 = 10.1 km/h
The answer is C.
Answer: (C) 10.1
Question: A train leaves Delhi at 9 a.m. at a speed of 30 kmph. Another train leaves at 2 p.m. at a speed of 40 kmph on the same day and in the same direction. How far from Delhi, will the two trains meet?
(A) 229
(B) 277
(C) 600
(D) 275
(E) 221
Rationale: D = 30 * 5 = 150
RS = 40 – 30 = 10
T = 150/10 = 15
D = 40 * 15 = 600 km.,Answer: C
Answer: (C) 600
Question: For how many values of B, is |||B - 5| -10| -5| = 2?
(Those ls are mods)
(A)  0
(B)  2
(C)  4
(D)  8
(E)  More than 8
Rationale: I think its 8
|||B-5|-10|-5| =2
let |B-5| = a which makes above
||a-10|-5| =2
let |a-10| = b which makes
|b-5| = 2
now for the above b can take 3, 7
for every b =3 a can have 13, 7
and for b = 7 a can have 17 and 3
so 'a' has four solutions 13, 7, 17 and 3
for a = 13; x has 18 or -8 thus has 2 for every combination hence 4x2 = 8
answer D
Answer: (D)  8
Question: A certain club has 10 members, including Harry. One of the 10 members is to be chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. What is the probability that Harry will be the member chosen to be the secretary ?
(A)  1/720
(B)  1/80
(C)  1/10
(D)  1/9
(E)  1/5
Rationale: This question is much easier than it appears.
Each member out of 10, including Harry, has equal chances to be selected for any of the positions (the sequence of the selection is given just to confuse us). The probability that Harry will be selected to be the secretary is 1/10 .
Answer: C
Answer: (C)  1/10
Question: Of the five numbers in a sequence, the first term is 10,000, and each of the following terms is 20% of the previous term. What is the value range of the five numbers?
(A) 9,375
(B) 9,750
(C) 9,975
(D) 9,984
(E) 10,736
Rationale: 1st number= 10,000
2nd number = 20% of 10,000= 2000
3rd number= 20% of 2000= 400
4th number = 20% of 400= 80
5th number= 20% of 80= 16
Range = 10,000-16= 9984
D is the answer
Answer: (D) 9,984
Question: A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
(A) 270
(B) 289
(C) 267
(D) 255
(E) 552
Rationale: 12*8 :16*9 = 18*6
8: 12: 9
9/29 * 870 = 270
Answer: A
Answer: (A) 270
Question: A club with a total membership of 40 has formed 3 committees, M, S and R, which have 8, 12 and 5 members respectively. If no members of committee M is on either of the other 2 committees, what is the greatest possible number of members in the club who are on none of the committees?
(A) 5
(B) 7
(C) 8
(D) 10
(E) 20
Rationale: As no member of committee M is on either of the other 2 committees then 40-M=40-8=32 people are on committee S, committee R or on none of the committee. We want to maximize the last group: members in the club who are on none of the committees
General rule for such kind of problems:
to maximize one quantity, minimize the others;
to minimize one quantity, maximize the others.
So we should minimize total # of people who are on committee S and committee R. Now if ALL 5 people who are the members of committee R are also the members of committee S (if R is subset of S) then total # members of committee S and committee R would be minimized and equal to 12. Which means that 32-12=20 is the greatest possible number of members in the club who are on none of the committees.
Answer: E.
Answer: (E) 20
Question: In a school with 640 students, the average age of the boys is 12 years and that of the girls is 11 years. If the average age of the school is 11 years 9 months, then the number of girls in the school is
(A) 160
(B) 200
(C) 250
(D) 350
(E) None
Rationale: Sol.
Let the number of grils be x.
Then, number of boys = (640 - x).
Then, (11 3/4 × 640)
⇔ 11x + 12(640 - x) ⇔ x = 7680 - 7520 ⇔ 160.
Answer A
Answer: (A) 160
Question: The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).
(A) 8, 20, 28
(B) 16, 28, 36
(C) 20, 35, 45
(D) None of these
(E) cannot be determined
Rationale: EXPLANATION
Let their present ages be 4x, 7x and 9x years respectively.
Then, (4x – 8) + (7x – 8) + (9x – 8) = 56
20x = 80
x = 4.
Their present ages are 4x = 16 years, 7x = 28 years and 9x = 36 years respectively.
Answer B
Answer: (B) 16, 28, 36
Question: Tap ‘A’ can fill a water tank in 25 minutes, tap ‘B’ can fill the same tank in 40 minutes and tap ‘C’ can empty that tank in 30 minutes. If all the three taps are opened together, in how many minutes will the tank be completely filled up or emptied?
(A) 3 2⁄13
(B) 15 5⁄13
(C) 8 2⁄13
(D) 31 11⁄19
(E) None of these
Rationale: Tank filled in 1 minute = 1⁄25 + 1⁄40 - 1⁄30 part
= 24+15−20/600=19/600 part
∴ tank will be filled complete in minutes
= 600⁄19 = 3111⁄19
Answer D
Answer: (D) 31 11⁄19
Question: A is twice as fast as B. If B alone can do a piece of work in 30 days, in what time can A and B together complete the work?
(A) 12
(B) 10
(C) 27
(D) 24
(E) 92
Rationale: A can do the work in 30/2 i.e., 15 days.
A and B's one day's work = 1/15 + 1/30 = (2 + 1)/30 = 1/10
So A and B together can do the work in 10 days.
Answer:B
Answer: (B) 10
Question: If x is a positive, single-digit integer such that 4/3*x, 2x, x, and x + 3, and 3x – 2 form a non-ordered list of consecutive integers, which of the following could be the median of that list?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 8
Rationale: The big hints are thatx is a 1-digit integerAND (4/3)x, 2x, x, and x + 3, and 3x – 2 are ALLintegers
For (4/3)x to be an integer, x MUST BE A MULTIPLE OF 3. So, x can equal 3, 6, or 9.
Now let's plug each possible value of x into the terms and see which one yields a list ofconsecutive integers
When x =3, we get the following terms: (4/3)(3), 2(3),3,3+ 3, and 3(3) – 2.
When we evaluate these terms we get: 4, 6, 3, 6 and 7
Rearrange to get: 3, 4, 6, 6, 7. So, when x = 3, we getconsecutive integers.
In this case, the MEDIAN = 5
Since 5 is among the answer choices, we need not test the other 2 values of x (i.e., x = 6 and x = 9)
Answer:
D
Answer: (D) 6
Question: Becky sets up a hot dog stand in her busy neighborhood and purchases x pounds of hot dogs for v dollars per pound. If she has to throw away s pounds of hot dogs due to spoilage and she sells the rest of the hot dogs for d dollars per pound, which of the following represents the net profit on the sale of the hot dogs?
(A) (x – s)v – sd
(B) xv – (xd – sd)
(C) xd – sv
(D) (x – s)d – xv
(E) (s – v)d – xv
Rationale: Answer D:
The amount of hotdogs she can sell is x-s. The price per pound is d, so the revenue is (x-s)d. The total costs are x time v, so the profit is (x-s)d-xv.
Answer: (D) (x – s)d – xv
Question: From below option 50 is divisible by which one?
(A) 3
(B) 2
(C) 7
(D) 8
(E) 9
Rationale: 50/2 = 25
B
Answer: (B) 2
Question: The figure above shows the dimensions of a semicircular cross section of a one-way tunnel. The single traffic lane is 12 feet wide and is equidistant from the sides of the tunnel. If vehicles must clear the top of the tunnel by at least ½ foot when they are inside the traffic lane, what should be the limit U on the height of vehicles that are allowed to use the tunnel?
(A) 5½ ft
(B) 7½ ft
(C) 8 ½ ft
(D) 9½ ft
(E) 10 ft
Rationale: Let's label the midpoint of the circle O. Since the base of the semi-circle is 20, we know that the diameter is 20 and, accordingly, the radius is 10.
We also know that the traffic lane is 12 feet long and there's an equal amount of space on either side, so the traffic lane extends 6 feet on either side of O. Let's call the leftmost point on the base of the traffic lane A. So, the distance OA is 6.
Now draw a line straight up from A to the top of the tunnel. Let's label the point at which the line intersects the circle B. The answer to the question will, therefore, be the height AB - .5 feet (we need to leave .5 feet of clearance).
Here's the key to solving the question: if we draw a line from O to B, that line is a radius of the circle and, therefore, has length 10. We now have right triangle OAB (the right angle is at point A), with leg OA=6 and hypotenuse OB=10. We can now solve for leg AB=8 (either by applying the pythagorean theorum or by applying the 3/4/5 special right triangle ratio).
Finally: AB=8, so the correct answer U is 8 - .5 = 7.5... choose (B)!
From a strategic guessing point of view, as soon as we realize that the height of the tunnel is 10 in the middle, we should quickly eliminate (D) and (E) as too big; worse case you have a 1/3 shot at picking up the points.B
Answer: (B) 7½ ft
Question: Find the value of 18396 x 9999 = m?
(A) 194852714
(B) 183941604
(C) 183851704
(D) 183951714
(E) 183768244
Rationale: 18396 x 9999 = 18396 x (10000 - 1)
= 18396 x 10000 - 18396 x 1
= 183960000 - 18396
= 183941604
B
Answer: (B) 183941604
Question: Which of the following is closest to 10^180 – 10^10 ?
(A) 10^210
(B) 10^90
(C) 10^150
(D) 10^180
(E) 10^6
Rationale: 10^180 – 10^10
10^10 * (10^170 – 1)
as we know 10^2 - 1 means 100-1 and we get 99, which is approximately 100. hence (10^170 – 1) would remain as 10^170.
and 10^10 * 10^170 = 10^180. Answer is D.
Answer: (D) 10^180
Question: If a particular is never chosen, in how many ways can a cricketbe chosen out of 15 players?
(A) 289
(B) 334
(C) 364
(D) 356
(E) 346
Rationale: A particular players is never chosen, it means that 11 players are selected out of 14 players.
=> Required number of ways = 14C11
= 14!/11!x3! = 364
C
Answer: (C) 364
Question: Sasha likes to go biking on the weekends. One Saturday, she leaves home and heads east at 10 AM. She travels 12 miles per hour for three hours, then 18 miles per hour for the next two hours. She turns around to head home after a short water break, how fast does Sasha need to ride, in miles per hour, to get home at 5 PM?
(A) 17
(B) 18
(C) 19
(D) 20
(E) 21
Rationale: She travels 12*2 + 18*2 = 60 miles east in 4 hours, taking a short rest at 2 PM
She needs to travel at (60 miles) / (5 PM - 2PM) = 60 miles / 3 hours = 20 miles per hour
Correct answer: D
Answer: (D) 20
Question: The price of a VCR is marked at Rs. 12,000. If successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it?
(A) 8729
(B) 8721
(C) 2772
(D) 9927
(E) 2388
Rationale: Actual price = 95% of 90% of 85% of Rs. 12000
= 95/100 * 90/100 * 85/100 * 12000
= Rs. 8721.
Answer: B
Answer: (B) 8721
Question: A reduction of 40% in the price of bananas would enable a man to obtain 64 more for Rs.40, what is reduced price per dozen?
(A) 1
(B) 7
(C) 3
(D) 8
(E) 5
Rationale: 40*(40/100) = 16 --- 64
? --- 12 => Rs.3
Answer: D
Answer: (D) 8
Question: Product of two natural numbers is 3. Then, the sum of reciprocals of their squares is
(A) 10/9
(B) 1/289
(C) 290/90
(D) 290/19
(E) None of these
Rationale: Explanation:
If the numbers are a, b, then ab = 3,
as 3 is a prime number, so a = 1, b = 3.
1/a2+1/b2=1/1(2)+1/3(2)
=10/9
Option A
Answer: (A) 10/9
Question: Four hundred multiples of seven are chosen at random, and 100 multiples of eight are chosen at random. Approximately what percentage of the 500 selected numbers are odd?
(A) 20%
(B) 25%
(C) 40%
(D) 50%
(E) 80%
Rationale: About half the multiples of seven will be odd while all the multiples of eight are even.
The percentage of odd numbers is about (1/2)(400) / 500 = 40%
The answer is C.
Answer: (C) 40%
Question: A trader sells 40 metres of cloth for Rs.8200 at a profit of Rs.35 per metre of cloth. How much profit will the trder earn on 40 metres of cloth?
(A) Rs.950
(B) Rs.1500
(C) Rs.1000
(D) Rs.1400
(E) None of these
Rationale: Explanation:
SP of 1 metre cloth = 8200/40 = Rs.205.
CP of 1 metre cloth = Rs.205 – 35 = Rs.170
CP on 40 metres = 170 x 40 = Rs.6800
Profit earned on 40 metres cloth = Rs.8200 – Rs.6800 = Rs.1400.
Answer: Option D
Answer: (D) Rs.1400
Question: How many 3-digit even numbers are possible such that if one of the digits is 5, the next/succeeding digit to it should be 1?
(A) 5
(B) 305
(C) 365
(D) 405
(E) 495
Rationale: 510, 512, 514, 516, and 518, so total 5. Hence Option A.
Answer: (A) 5
Question: Ramu was facing East. He walked 4 km forward and then after turning to his right walked 6
km. Again he turned to his right and walked 7 km. After this he turned back. Which direction
was he facing at the time?
(A) East
(B) North
(C) South
(D) West
(E) none
Rationale: First he is in east direction...n then he moved forward 4km, and then he turned to right means he is now in south direction n he moved forwrd 6km towards south n again he turned right ... Here now he is in west direction...in question they mention what his position facing towards when he turned back.... He is now in east
ANSWER:A
Answer: (A) East
Question: If $6000 was invested at an annual interest rate of 5.6% compounded annually, which of the following represents the amount the investment was worth after 3 years?
(A) 6000 (1.056)(3)
(B) 6000 (3+1.056)
(C) 6000 (1+3(0.056))
(D) 6000 (1+(0.056)^3)
(E) 6000 (1.056)^3
Rationale: the formula is CI=P(1+r/100)^t
in this case i think E is the ans 6000 (1.056)^3
Answer: (E) 6000 (1.056)^3
Question: A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
(A) Rs.250
(B) Rs.229
(C) Rs.220
(D) Rs.127
(E) Rs.221
Rationale: CP1 = 100 SP1 = 90
CP2 = 80 SP2 = 80 * (140/100) = 112
22 ----- 100
55 ----- ? => Rs.250
Answer: A
Answer: (A) Rs.250
Question: If in a box of dimensions 6 m * 5 m * 4 m smaller boxes of dimensions 60 cm * 50 cm * 40 cm are kept in it, then what will be the maximum number of the small boxes that can be kept in it?
(A) 3388
(B) 1000
(C) 2799
(D) 2787
(E) 9771
Rationale: 6 * 5 * 4 = 60/100 * 50/100 * 40/100 * x
1 = 1/10 * 1/10 * 1/10 * x => x = 1000
Answer: B
Answer: (B) 1000
Question: A company has 15 managers and 75 associates. The 15 managers have an average salary of $180,000. The 75 associates have an average salary of $30,000. What is the average salary for the company?
(A) $35,000
(B) $45,000
(C) $55,000
(D) $65,000
(E) $75,000
Rationale: Another method is to get ratios
Say 30000=a and
We know the # of people are in 1:5 ratio
Average=(6a*1+a*5)/6= 11a/6=55000
Answer is C. $55,000
Answer: (C) $55,000
Question: If,
1 * 3 * 5 = 16
3 * 5 * 7 = 38
Then find,
15 * 17 * 19 =?
(A) 89
(B) 49
(C) 68
(D) 38
(E) 338
Rationale: E
338
(19 * 17) + 15 = 338
Answer: (E) 338
Question: Find the highest value of 'a' so that 36500a is divisible by 8.
(A) 9
(B) 8
(C) 0
(D) 2
(E) 1
Rationale: Explanation:
Given, number is divisible by 8 only if 'a' is divisible by 8 or is 0.
.: Highest value of a is '8'.
Answer: Option B
Answer: (B) 8
Question: A certain number of men can do a work in 60days. If there were 8 men less it could be finished in 10days more. How many men are there?
(A) 56
(B) 42
(C) 60
(D) 45
(E) 36
Rationale: The original number of men = 8(60+10)/10 = 56men
Answer is A
Answer: (A) 56
Question: If a and b are odd integers, which of the following is an even integer?
(A) 2(a-b)+ab
(B) 2(a-b)+a
(C) 2(a-b)+b
(D) 2(a-b)+ab+a
(E) 2(a-b)+4a+b
Rationale: 2(a-b)+ab+a=even+odd+odd=even
The answer is D.
Answer: (D) 2(a-b)+ab+a
Question: Two taps can separately fill a cistern 8 minutes and 12 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
(A) 7
(B) 8
(C) 6.5
(D) 9
(E) 5
Rationale: 1/8 + 1/12 - 1/x = 1/18
x = 72/11 = 6.5
Answer: C
Answer: (C) 6.5
Question: Given that E and F are events such that P(E) = 0.16, P(F) = 0.4 and P(E n F) = 0.4,
find P (E|F) and P(F|E)
(A) 1/4
(B) 1/7
(C) 1/9
(D) 1/11
(E) 1/13
Rationale: Here, E and F are events
P(E|F) = P(EnF)/P(F) = 0.4/0.4 = 1
P(F|E) = P(EnF)/P(E) = 0.4/0.16 = 1/4.
A)
Answer: (A) 1/4
Question: The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table?
(A) 6727
(B) 6887
(C) 6728
(D) 6725
(E) 2871
Rationale: :
CP = SP * (100/(100 + profit%))
= 8339(100/124) = Rs. 6725.
Answer: D
Answer: (D) 6725
Question: An investment W gained an interest payment of $250 each month when the annual interest rate was 8%, how much more should we invest annually if we want to gain 12% more per month with a new annual interest rate of 7.5% ?
(A) $9,360
(B) $9,100
(C) $8,250
(D) $7,300
(E) $7,150
Rationale: Answer is D : 7,300
An investment W gained an interest payment of $250 each month when the annual interest rate was 8%,Interest per annum with 8% interest rate is = 250* 12 = Principal * Interest Rate(8/100)
This gives Principal as 37,500$
For an revised interest of 12% more and new interest rate of 7.5% , ie. 250* 12 * 1.12 = Principal * Interest Rate (7.5/100)
This gives the new Principal as 44,800.
The question is how much more should we invest, so 44,800 - 37,500 = 7,300.D
Answer: (D) $7,300
Question: A car owner buys petrol at Rs 7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year ?
(A) 8.98
(B) 7.98
(C) 6.98
(D) 4.98
(E) 2.98
Rationale: Explanation:
Total quantity of petrol consumed in 3 years = liters
= liters
= liters
Total amount spent = Rs. (3 x 4000) = Rs. 12000.
Average cost = Rs. = Rs. 7.98.
Answer: B
Answer: (B) 7.98