RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Jessica can text 125 words per minute, while Maurice can text 10 words per minute. An abridged English translation of Tolstoy’s War and Peace contains 410,400 words. Working together, how many days will it take Jessica and Maurice to text the entire abridged translation of War and Peace?
A.0.3
B.2.1
C.3
D.9
Answer: B.2.1
Explanation: Since the answer choices are reasonably spaced out, we can approximate and save time
Combined words per day = 135*60*24 which should be 194400
410400/194400 will be 2.1,
So, Answer should be B.
Question: A certain manufacturer of cake, muffin, and bread mixes has 100 buyers, of whom 50 purchases cake mix, 40 purchase muffin mix, and 18 purchase both cake mix and muffin mix. If a buyer is to be selected at random from the 100 buyers, what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix?
A.1/10
B.3/10
C.1/2
D.7/25
Answer: D.7/25
Explanation: C+M+B-CM-MB-CB-2CMB = 100
C - cake buyers, M - muffin and B - Bread buyers. CM,MB,CB and CMB are intersecting regions.
the question asks for people who have bought only bread mixes = B-CB-MB-2CMB has to be found out.
50 + 40 + B-CB-MB-18-2CMB = 100
B-CB-MB-2CMB = 28
hence the probability = 28/100 = 7/25.
D
Question: The cash difference between the selling prices of an article at a profit of 6% and 8% is Rs 3. The ratio of two selling prices is
A.51:52
B.52:53
C.53:54
D.54:55
Answer: C.53:54
Explanation: Explanation:
Let the Cost price of article is Rs. x
Required ratio = (106% of x) / (108% of x)
=106/108
=53/54 = 53:54.
Answer: C
Question: In how many years will a sum of money doubles itself at 5% per annum on simple interest?
A.22
B.20
C.99
D.88
Answer: B.20
Explanation: P = (P*5*R)/100
R = 20%
Answer: B
Question: Which of the following points is symmetric with y=x at (1,2)?
A.(-2,-1)
B.(-2,1)
C.(2,1)
D.(-1,-2)
Answer: C.(2,1)
Explanation: We can think of line y = x as a mirror. Any point (x,y) becomes (y,x) when it isreflectedover the mirror. Reverse the coordinate and keep the same sign. These two points will be symmetric to the line y = x.
(1,2) would become (2,1).
Answer (C).
Question: A machine puts c caps on bottles in m minutes. How many seconds will it take to put caps on b bottles?
A.60bm/c
B.bm/60c
C.bc/60m
D.60b/cm
Answer: A.60bm/c
Explanation: A machine puts c caps on bottles in m minutes.
So, the machine puts 1 cap in m/c minutes
To put caps on b bottles, the machine will take bm/c minutes
In order to calculate the no. of hours taken , multiply the product by 60.
So, our answer is bm60/c
Answer : A
Question: Oak trees line both sides of a street for a length of 6/8 of a kilometer. If there is 12 meters of space between the trees, and each tree is 1 meter wide, how many trees are there along the street?
A.a)	59
B.b)	23
C.c)	24
D.d)	44
Answer: A.a)	59
Explanation: There is a gap of 16 m between every 2 trees , each tree is 1 m wide.
6/8 of 1 km = 750 m
Lets assume that x trees are planted So equation is
x*1 +(x-1)*12 = 750
Solve for x and we get x = 59, answer is A
Question: A can do a piece of work in 20 days. B in 15 days A and C in 12 days. In how many days can A finish the work if he is assisted by B on one day and C on the next, alternately?
A.2 days
B.8 days
C.6 days
D.8 days
Answer: B.8 days
Explanation: A + B = 1/20 + 1/15 = 7/60
A + C = 1/20 + 1/12 = 8/60
7/60 + 8/60 = 15/60 = 1/4
4 days * 2 = 8 days
Answer: B
Question: For any integer n greater than 1, n* denotes the product of all the integers from 1 to n, inclusive. How many prime numbers T are there between 6* + 2 and 6* + 6, inclusive?
A.None
B.One
C.Two
D.Three
Answer: A.None
Explanation: Given that n* denotes the product of all the integers from 1 to n, inclusive so, 6*+2=6!+2 and 6*+6=6!+6.
Now, notice that we can factor out 2 our of 6!+2 so it cannot be a prime number, we can factor out 3 our of 6!+3 so it cannot be a prime number, we can factor out 4 our of 6!+4 so it cannot be a prime number, ... The same way for all numbers between 6*+2=6!+2 and 6*+6=6!+6, inclusive. Which means that there are no primes T in this range.
Answer: A.
Question: The ratio of males to females in a class is 2:3. The career preferences of the students in the class are represented in a circle graph. If the area of the graph allocated to each career preference is proportional to the number of students who have that career preference, how many degrees of the circle should be used to represent a career that is preferred by one-half of the males and three-fourths of the females in the class?
A.218
B.226
C.234
D.242
Answer: C.234
Explanation: 1/2*2/5 + 3/4*3/5 = 4/20 + 9/20 = 13/20
The number of degrees is 13/20 * 360 = 234 degrees
The answer is C.
Question: An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
A.33 1/8%
B.33 1/9%
C.33 1/3%
D.33 8/3%
Answer: C.33 1/3%
Explanation: 675 ---- 225
100 ---- ? => 33 1/3%
Answer: C
Question: How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7, 8, 9}(repetition of digits is not allowed)?
A.840
B.697
C.278
D.279
Answer: A.840
Explanation: The given digits are six.
The number of four digit numbers that can be formed using six digits is
7Pâ‚„ =7* 6 * 5 * 4
= 840.
Answer: A
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?
A.286 m
B.278 m
C.278 m
D.150 m
Answer: D.150 m
Explanation: Let the length of the train be x meters and its speed be y m/sec.
They, x / y = 15 => y = x/15
x + 100 / 25 = x / 15
x = 150 m.
Answer:D
Question: Two friends want to buy a snack. They combine their money and find they have $3.10, consisting of quarters, dimes, and nickels. If they have 28 coins and the number of quarters is half the number of nickels, how many quarters do they have?
A.3
B.4
C.5
D.6
Answer: D.6
Explanation: Let x be the number of quarters. Then 2x is the number of nickels.
(1) 25x + 10x + 10D = 310. Then 7x + 2D = 62
(2) 3x + D = 28. Then 6x + 2D = 56
Let's subtract equation (2) from equation (1).
x = 6
The answer is D.
Question: Given a collection of points P in the plane a 1-set is a point in P that can be separated from the rest by a line; i.e the pint lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P) . The maximum value of n1(P) over all configurations P of 4 points in the plane is
A.1
B.2
C.3
D.4
Answer: A.1
Explanation: maximum no of 1-sets will be the no of points itself...as in even a simple configuration we can separate one point from others to make it 1-set
ANSWER:A
Question: John received a 10% raise each month for three consecutive months. What was his salary after the three raises if his starting salary was $1,000 per month?
A.$1,248
B.$1,300
C.$1,331
D.$1,410
Answer: C.$1,331
Explanation: 1,000 + 100 (10%) = 1,100
1,100 + 110 (10%) = 1,210
1,210 + 121 (10%) = 1,331
Answer: C
Question: The radius of a semi circle is 6.3 cm then its perimeter is?
A.32.5
B.32.4
C.32.1
D.32.9
Answer: B.32.4
Explanation: 36/7 r = 6.3 = 32.4
Answer:B
Question: In a survey about potential presidential candidates A and B, 39% of the public like A and 57% like B. If the percentage of the public who like one candidate only is twice the percentage of the public who like both candidates, then what is the percentage of the public that like neither?
A.28%
B.35%
C.43%
D.22%
Answer: A.28%
Explanation: Let x be the percentage of people who like both.
Then the percentage of people who like only 1 but not both is 2x.
39% + 57% = 2x + 2(x) because the percentage who like both are counted twice.
Then x = 24% and 2x = 48%
100% = 24% + 48% + Neither
Neither = 28%
The answer is A.
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%
Answer: B.70%
Explanation: 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
Question: What is the square root of 261,121?
A.476
B.489
C.497
D.511
Answer: D.511
Explanation: 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.
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
Answer: A.9 days
Explanation: 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
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
Answer: C.17.5 days
Explanation: 14 * 25 = 20 * x => x = 17.5 days
ANSWER:C
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
Answer: C.29.25
Explanation: Average of 9 = x
9x = 8 * 3 + x * 2 x = 3.25
Total = 9 * 3.25 = 29.25
Answer:C
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
Answer: A.50 kg
Explanation: 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
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
Answer: B.1/5
Explanation: 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.
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
Answer: C. 320
Explanation: 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.
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
Answer: C.9.6
Explanation: 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
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
Answer: D.37/120
Explanation: 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
Question: The triplicate ratio of 1:3 is?
A.1:0
B.1:8
C.1:27
D.1:2
Answer: C.1:27
Explanation: 13: 33 = 1:27
Answer: C
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%
Answer: A.1.44%
Explanation: In such a case there is always a loss
Loss% = (12/10)^2 = 36/25 = 1.44%
Answer is A
Question: Which is the middle even number between 4 and 12?
A.9
B.12
C.14
D.8
Answer: D.8
Explanation: 4+x = 12-x
2 x = 8
X = 4
Now 4+x = 8
ANSWER:D
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
Answer: B.7:45
Explanation: 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
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
Answer: C.10.1
Explanation: 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.
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
Answer: C.600
Explanation: D = 30 * 5 = 150
RS = 40 – 30 = 10
T = 150/10 = 15
D = 40 * 15 = 600 km.,Answer: C
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
Answer: D. 8
Explanation: 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
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
Answer: C. 1/10
Explanation: 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
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
Answer: D.9,984
Explanation: 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
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
Answer: A.270
Explanation: 12*8 :16*9 = 18*6
8: 12: 9
9/29 * 870 = 270
Answer: A
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
Answer: A.160
Explanation: 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
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
Answer: B.16, 28, 36
Explanation: 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
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
Answer: D.31 11⁄19
Explanation: 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
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
Answer: B.10
Explanation: 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
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
Answer: D.6
Explanation: 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
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
Answer: D.(x – s)d – xv
Explanation: 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.
Question: From below option 50 is divisible by which one?
A.3
B.2
C.7
D.8
Answer: B.2
Explanation: 50/2 = 25
B
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
Answer: B.7½ ft
Explanation: 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
Question: Find the value of 18396 x 9999 = m?
A.194852714
B.183941604
C.183851704
D.183951714
Answer: B.183941604
Explanation: 18396 x 9999 = 18396 x (10000 - 1)
= 18396 x 10000 - 18396 x 1
= 183960000 - 18396
= 183941604
B
Question: Which of the following is closest to 10^180 – 10^10 ?
A.10^210
B.10^90
C.10^150
D.10^180
Answer: D.10^180
Explanation: 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.
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
Answer: C.364
Explanation: 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
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
Answer: D.20
Explanation: 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
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
Answer: B.8721
Explanation: Actual price = 95% of 90% of 85% of Rs. 12000
= 95/100 * 90/100 * 85/100 * 12000
= Rs. 8721.
Answer: B
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
Answer: D.8
Explanation: 40*(40/100) = 16 --- 64
? --- 12 => Rs.3
Answer: D
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
Answer: A.10/9
Explanation: 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
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%
Answer: C.40%
Explanation: 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.
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
Answer: D.Rs.1400
Explanation: 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
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
Answer: A.5
Explanation: 510, 512, 514, 516, and 518, so total 5. Hence Option A.