mathewhe/aqua_rat huggingface dataset:
Question: A train covers a distance of 20 km in 10 minutes. If its speed is decreased by 10 km/hr, the time taken by it to cover the same distance will be?
(A) 20min 15sec
(B) 11min 30sec
(C) 15min 20sec
(D) 12min 10sec
(E) 9min 30sec
Rationale: Speed = 20*60/10 = 120 km/hr
new speed = 120-10 = 110 km/hr
time taken = 20/110 = 60*2/11 = 11 min 30 sec
Answer is B
Answer: (B) 11min 30sec
Question: At an international conference, “Yellow” world countries and “Blue” world countries are the only participants. The ratio of “Yellow” world participants to “Blue” world participants is 3:2. If one-third of “Yellow” world participants are left-handed and two-thirds of “Blue” world participants are left-handed, then what is the fraction of the participants who are left-handed?
(A) 7
(B) 7/15
(C) 5/8
(D) 9/2
(E) 4/6
Rationale: Yellow: Blue = 3:2
Let Yellow = 3x and Blue = 2x
1/3 of Yellow are left handed => 1/3 * 3x = 3x/3 Yellow left handed
2/3 of Blue are left handed => 2/3 *2x = 4x/3 blue left handed
fraction of participants who are left handed = total left handed/ total participants = (yellow left handed + blue left handed)/total participants = (3x/3 + 4x/3)/(3x+2x) = (7x/15x) = 7/15
Answer : B
Answer: (B) 7/15
Question: A salesman gets commission on total sales at 9%. If the sale is exceeded Rs.10,000 he gets an additional commission as bonus of 3% on the excess of sales over Rs.10,000. If he gets total commission of Rs.1380, then the bonus he received is:
(A) 22
(B) 120
(C) 388
(D) 377
(E) 272
Rationale: Explanation:
Commission up to 10000 = \inline 10000\times \frac{9}{100} = 900
Again after 10000,
Commission : Bonus
9 : 3
\inline \Rightarrow 3x : x
\therefore Bonus = \inline (1380-900)\times \frac{1}{4}= Rs.120
Answer: B) Rs.120
Answer: (B) 120
Question: I. l-14, l, l, l, l+14
II. b, b+1, b+2, b+3, b+4
III. c, c, c, c, c
The data sets I, II, and III above are ordered from greatest standard deviation to least standard deviation in which of the following?
(A) I, II, III
(B) I, III, II
(C) II, III, I
(D) III, I, II
(E) III, II, I
Rationale: S.D is a non-negative entity. Also, for a given set with all the elements same, the S.D is Zero(It is zero even if there is only one element in the set too). From the given sets, we can see that the last set has a standard deviation of zero. Also, because the other sets can not have all the terms equal for any values of l or b, thus the S.D for the third set(III) has to be the minimum. Select the option which has III in the end.
A.
Answer: (A) I, II, III
Question: Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 3% more. She would get how much?
(A) 9920
(B) 96288
(C) 26667
(D) 1662
(E) 2882
Rationale: (8000*3*3)/100 = 720
9200
--------
9920
Answer:A
Answer: (A) 9920
Question: Ajay can walk 7km in 1 hour. In how many hours he can walk 80km?
(A) 5hrs
(B) 11.4hrs
(C) 15.5hrs
(D) 20.4hrs
(E) 30hrs
Rationale: 1 hour he walk 8km
he walk 80km in = 80/7* 1 = 11.4hours
Answer is B
Answer: (B) 11.4hrs
Question: Emily cut two circles from a sheet of colored paper measuring 8” by 12”. One circle had a
radius of 3 inches and the other had a radius of 2.5 inches. How many square inches of paper are
left over?
(A) 48.11 sq. in.
(B) 58.11 sq. in.
(C) 68.11 sq. in.
(D) 78.11 sq. in.
(E) 88.11 sq. in.
Rationale: 8 x 12 = 96 sq. in. area of paper
3.14(3)2 = 28.26 sq. in. area of one circle
3.14(2.5)2 = 19.625 or 19.63 sq. in. rounded
area of other circle
28.26 + 19.63 = 47.89 sq. in. used for circles
96 - 47.89 = 48.11 sq. in. left over
correct answer A
Answer: (A) 48.11 sq. in.
Question: A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast?
(A) 7500
(B) 5000
(C) 6000
(D) 3500
(E) 4000
Rationale: Explanation:
35%-----------L
65%-----------W
------------------
30%----------2250
100%---------? => 7500
ANSWER IS A
Answer: (A) 7500
Question: A man can row 4.5 km/hr in still water. It takes him twice as long to row upstream as to row downstream. What is the rate of the current ?
(A) 1.9
(B) 1.7
(C) 1.2
(D) 1.5
(E) 1.1
Rationale: Speed of boat in still water (b) = 4.5 km/hr. Speed of boat with stream (Down Stream), D = b + u Speed of boat against stream (Up stream), U = b – u It is given upstream time is twice to that of down stream. ⇒ Downstream speed is twice to that of upstream. So b + u = 2(b – u) ⇒ u =b/3 = 1.5 km/hr.
Answer: D
Answer: (D) 1.5
Question: Two friends A and B are running up hill and then to get down! length of road is 440 yards. A on his return journey met B going up at 20 yards from top, A has finished the race 5 minutes earlier than B, then how much time A had taken to complete the race.
(A) 50 minutes
(B) 52.5 minutes
(C) 55 minutes
(D) 54.5 minutes
(E) None of these
Rationale: Explanation :
When A travels 460m (=440+20),
B travels 420m (=440-20). So, ratio of speed = 460:420
= 23:21.
Let A's speed be 23x, and that of B's be 21x.
=> 23x = ((2 * 440) / t) which implies 23t = 880/x;
=> 21x = ((2 * 440) / (t+5)) which implies 21(t+5) = 880/x.
From these two equations, 23t = 21(t+5). Solving, t = 52.5
Hence (B) is the correct answer.
Answer : B
Answer: (B) 52.5 minutes
Question: The speed of a boat in upstream is 20 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
(A) 10 kmph
(B) 11 kmph
(C) 16 kmph
(D) 30 kmph
(E) 19 kmph
Rationale: Speed of the boat in still water = (20+80)/2 = 50 kmph. Speed of the stream = (80-20)/2 = 30 kmph.Answer: D
Answer: (D) 30 kmph
Question: Two trains 140 m and 180 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
(A) 17.9 sec
(B) 11.52 sec
(C) 27.7 sec
(D) 10.8 sec
(E) 17.8 sec
Rationale: Relative speed = 60 + 40 = 100 km/hr.
= 100 * 5/18 = 250/9 m/sec.
Distance covered in crossing each other = 140 + 180 = 320 m.
Required time = 320 * 9/250 = 11.52 sec.
Answer: B
Answer: (B) 11.52 sec
Question: A lady bought five books namely A,B,C,D,E to distribute her 6 children. How many ways she can distribute books?
(A) 6^3
(B) 5^6
(C) 6^5
(D) 6^6
(E) 3^6
Rationale: 6*6*6*6*6
6^5
ANSWER:C
Answer: (C) 6^5
Question: Evaluate: 50 - 12÷2×2 =
(A) A)36
(B) B)38
(C) C)40
(D) D)42
(E) E)44
Rationale: According to order of operations, 12÷2×2 (division and multiplication) is done first from left to right
12÷2×2 = 6 × 2 = 12
Hence
50 - 12÷6×2 = 50 - 12 = 38
correct answer is B) 38
Answer: (B) B)38
Question: A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?
(A) 12.6
(B) 82.5
(C) 12.4
(D) 12.5
(E) 12.0
Rationale: Let the speed of the man in still water be a kmph and let the speed of the stream be b kmph.
Now 30/(a + b) + 20/(a - b) = 4 and 45/(a + b) + 40/(a - b) = 7
Solving the equation, the speed of man in still water is 12.5 kmph.
Answer: D
Answer: (D) 12.5
Question: A and B entered into a partnership investing Rs.25000 and Rs.30000 respectively. After 4 months C also joined the business with an investment of Rs.35000. What is the share of C in an annual profit of Rs.47000?
(A) 22277
(B) 29977
(C) 267676
(D) 14000
(E) 18811
Rationale: 25*12: 30*12: 35*8
15:18:14
14/47 * 47000 = 14000
Answer: D
Answer: (D) 14000
Question: A certain car increased its average speed by 5 miles per hour in each successive 5-minute interval after the first interval. If in the first 5-minute interval its average speed was 38 miles per hour, how many miles did the car travel in the third 5-minute interval?
(A) 1.0
(B) 1.5
(C) 2.0
(D) 2.5
(E) 4.0
Rationale: In the third time interval the average speed of the car was 38+5+5=30 miles per hour;
In 5 minutes (1/12 hour) at that speed car would travel 48*1/12=4 miles.
Answer: E.
Answer: (E) 4.0
Question: In a simultaneous throw of 2 dice what is the probability of getting a total of 4?
(A) 1/2
(B) 1/4
(C) 2/9
(D) 1/12
(E) 3/13
Rationale: n(S) = 6*6 = 36
E = {(1,3),(2,2),(3,1)}
Probability = 3/36 = 1/12
Answer is D
Answer: (D) 1/12
Question: A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 liters per minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. The capacity of the tank is?
(A) 5760
(B) 5860
(C) 5240
(D) 5890
(E) 6000
Rationale: 1/x - 1/6 = -1/8
x = 24 hrs
24 * 60 * 4 = 5760
ANSWER A
Answer: (A) 5760
Question: Midas has boxes in three sizes: large, medium, and small. He puts 11 large boxes on a table. He leaves some of these boxes empty, and in all the other boxes he puts 8 medium boxes. He leaves some of these medium boxes empty, and in all the other medium boxes he puts 8 (empty) small boxes. Now, 102 of all the boxes on the table are empty.
How many boxes has Midas used in total?
(A) 113
(B) 114
(C) 115
(D) 116
(E) 117
Rationale: By keeping 8 boxes in a single box, the total number of empty boxes increases by 8-1 = 7.
let x the number of times that 8 boxes have been kept in a box
now we know that 11 + 7x = 102
by solving we have x=13
finally 11 + 13 × 8 = 115
therefore totally 115 boxes have been used
ANSWER:C
Answer: (C) 115
Question: How many three-digit numbers are divisible by 6 in all?
(A) 149
(B) 150
(C) 151
(D) 166
(E) None
Rationale: Solution
Required numbers are 102,018,114,....996.
This is an A.P with a = 102,
d= 6.
Let the number of its terms be n. Then	a+(n - 1)d
‹=›102+(n - 1)×6 = 996
‹=›n=150.
Answer B
Answer: (B) 150
Question: How many keystrokes are needed to type the numbers from 1 to 100?
(A) 102
(B) 150
(C) 192
(D) 208
(E) 225
Rationale: There are 9 one-digit numbers from 1 to 9.
There are 90 two-digit numbers from 10 to 99.
We need 3 keystrokes for the number 100.
9 + 90(2) + 3 = 192
The answer is C.
Answer: (C) 192
Question: The perimeter of a semi circle is 144 cm then the radius is?
(A) 25 cm
(B) 28 cm
(C) 30 cm
(D) 35 cm
(E) 40 cm
Rationale: Explanation:
36/7 r = 144 => r = 28
ANSWER IS B
Answer: (B) 28 cm
Question: If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of p?
(A) 10
(B) 12
(C) 14
(D) 16
(E) 18
Rationale: No need to actually find the product of 1 to 30. Just look at the numbers that have factors of 3.
3 = 3
6 = 3 * 2
9 = 3 * 3
12 = 3 * 2 * 2
15 = 3 * 5
18 = 3 * 3 * 2
21 = 3 * 7
24 = 3 * 2 * 2 * 2
27 = 3 * 3 * 3
30 = 3 * 2 * 5
There are 14 3's, so the largest factor of p for 3k is 3*14
ANSWER:C
Answer: (C) 14
Question: At a special sale, 12 tickets can be purchased for the price of 3 tickets. If 12 tickets are purchased at the sale, the amount saved will be What percent of the original price of the 12 tickets?
(A) 20%
(B) 33.3%
(C) 40%
(D) 50%
(E) 75%
Rationale: let the price of a ticket be Rs.100, so 3 tickets cost 300 & 12 tickets cost 1200
12 tickets purchased at price of 3 tickets ie., for 300, so amount saved s Rs.900,
% of 5 tickets = (900 /1200)*100 =75 %
ANSWER:E
Answer: (E) 75%
Question: The length of minute hand of a clock is 5.6 cm. What is the area covered by this in 10 minutes
(A) 15.27
(B) 16.27
(C) 17.27
(D) 16.41
(E) 19.27
Rationale: area of circle is pi*r^2
but in 10 minutes area covered is (10/60)*360=60 degree
so formula is pi*r^2*(angle/360)=3.14*(5.6^2)*(60/360)=16.41 cm^2
ANSWER:D
Answer: (D) 16.41
Question: From 2005 to 2015 the world's population grew by 11.27%, and from 2005 to 2010 the world's population grew by 6.20%. What was the percentage growth in the world's population from 2010 to 2015?
(A)  5%
(B)  6%
(C)  2%
(D)  2.5%
(E)  5.5%
Rationale: Let the world's population in 2005 = x; then,
for 2005-2010, the population equation is x + 0.0620x = 1.0620x,
for 2005-2015, the population equation is x + 0.1127x = 1.1127x;
so, the growth from 2010 to 2015 = (1.1127x - 1.060x)/(1.062x) = 0.05 (rounded). Thus, the answer is 5%.
Answer is A
Answer: (A)  5%
Question: The radius of the two circular fields is in the ratio 3: 5 the area of the first field is what percent less than the area of the second?
(A) 50%
(B) 60%
(C) 40%
(D) 64%
(E) 75%
Rationale: Explanation:
r = 3 Ï€r2 = 9
r = 5 Ï€r2 = 25
25 Ï€ â€“ 16 Ï€
100 ---- ? => 64%
ANSWER IS D
Answer: (D) 64%
Question: If the L.C.M of two numbers is 560 and their product is 42000, find the H.C.F of the numbers.
(A) 50
(B) 30
(C) 75
(D) 25
(E) None of these
Rationale: H.C.F = (Product of the numbers) / (Their L.C.M) = 42000/560 = 75.
ANSWER:C
Answer: (C) 75
Question: The sum of present age of Abe and the age before 7 years is 29. Find the present age of Abe. What will be his age after 7 years?
(A) 25
(B) 26
(C) 27
(D) 28
(E) 29
Rationale: Present age = x
Before 7yrs, y=x-7
After 7yrs, z=x+7
By the qn,
x+(x-7)=29
2x-7=29
2x=29+7
x=36/2
x=18
z=x+7
=18+7
=25
ANSWER:A
Answer: (A) 25
Question: Before leaving home for the town of Madison, Pete checks a map which shows that Madison is 6 inches from his current location, Gardensquare. Pete arrives in Madison 2.5 hours later and drove at an average speed of 60 miles per hour. At what scale, in inches per mile, is the map drawn?
(A) 1/25
(B) 1/30
(C) 1/10
(D) 2
(E) 30
Rationale: Pete covered 2.5*60=150 miles which correspond to 6 inches on the map --> scale in inches per mile is 6/150=1/25.
Answer: A.
Answer: (A) 1/25
Question: An article was sold after a discount of 20% and there was a gain of 20%. If the profit made on it was Rs. 6 less than the discount offered on it, find its selling price?
(A) 72
(B) 44
(C) 66
(D) 01
(E) 11
Rationale: Let CP = Rs. 100x
SP = Rs. 120x
MP = 120x/80 * 100 = Rs. 150x
D = Rs. 150x - Rs. 120x = Rs. 30x
D - P = 30x - 20x = Rs. 6, 10x = Rs. 6
120x = 120/10 * 6 = Rs. 72
Answer:A
Answer: (A) 72
Question: One train is running with a speed 60 kmph and its length is 110 metres. Calculate the time by which it will pass a man running opposite with speed of 6 kmph.
(A) 6 sec
(B) 3 sec
(C) 2 sec
(D) 1 sec
(E) 10 sec
Rationale: ==> (60+6) = 66 km/hr
m/sec = 66*5/18
55/3 k/sec
time = 110*3/55
= 6 sec
ANSWER A
Answer: (A) 6 sec
Question: If y is the smallest positive integer such that 3,150 multiplied by y is the square of an integer, then y must be
(A) 2
(B) 5
(C) 6
(D) 7
(E) 14
Rationale: 3150*y = A^2
3 * 1050 * y = A^2
3*5*210*y = A^2
3*5*7*3*2*5*y = A^2
2*3^2*5^2*7*y = A^2
Concept: The factors of squared integer should occur in pair. So, the only numbers left are 2*7
Hence 14	;
ANSWER:E
Answer: (E) 14
Question: In how many ways can five girls stand in line if Maggie and Lisa cannot stand next to each other?
(A) 112
(B) 96
(C) 84
(D) 72
(E) 60
Rationale: 1. the total number of permutations: 5! = 120
2. Let's consider Maggie and Lisa as one object, then the total number of permutations with Maggie and Lisa together: 4! = 24.
3. Take into account that [Maggie, Lisa] and [Lisa, Maggie] are different.
4. Maggie and Lisa cannot stand next to each other in: 120 - 2*24 = 72 ways.
ANS:D
Answer: (D) 72
Question: If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:
(A) 50 km
(B) 56 km
(C) 70 km
(D) 80 km
(E) 90 km
Rationale: Explanation:
Let the actual distance travelled be x km.
Then,	x/10 =x + 20/14
14x = 10x + 200
4x = 200
x = 50 km.
ANSWER IS A
Answer: (A) 50 km
Question: A man can row upstream at 25 kmph and downstream at 45 kmph, and then find the speed of the man in still water?
(A) 86
(B) 67
(C) 35
(D) 15
(E) 17
Rationale: US = 25
DS = 45
M = (45 + 25)/2
= 35
Answer: C
Answer: (C) 35
Question: Which is greater than -1?
(A) -5
(B) -4
(C) -3
(D) -2
(E) 0
Rationale: -1 greater than 0.
Answer: E
Answer: (E) 0
Question: In how many different ways can 6 people be seated in a room with 8 chairs?
(A) 20,160
(B) 181,440
(C) 403,200
(D) 1,814,400
(E) 3,628,800
Rationale: Order doesn't matter
With 8 chairs and only 6 to seat
6!- Number of ways the 6 can seat on the chair
8C2 - Number of ways the 2 empty sits can be vary with the 6 seated
6! * 8C2 = 20,160 Answer - A
Answer: (A) 20,160
Question: Madhav ranks seventeenth in a class of thirtyone. What is his rank from the last?
(A) 13
(B) 14
(C) 15
(D) 16
(E) 17
Rationale: (Rank from top) + (Rank from bottom) - 1 = Total students
17 + x - 1 = 31
x = 15
ANSWER:C
Answer: (C) 15
Question: A certain business produced x rakes each month form November through February and shipped x/2 rakes at the beginning of each month from March through October. The business paid no storage costs for the rakes from November through February, but it paid storage costs of $0.20 per rake each month from March through October for the rakes that had not been shipped. In terms of x, what was the total storage cost, in dollars, that the business paid for the rakes for the 12 months form November through October?
(A) 2.80x
(B) 1.20x
(C) 1.40x
(D) 1.60x
(E) 3.20x
Rationale: because we have a total of 4X
Also from Mar- Oct the rakes will be deducted by 1/8 X
so
In Apr they pay for the storage 0.2 * 4X * 7/8
In May they pay for the storage 0.2 * 4X * 6/8
In Jun they pay for the storage 0.2 * 4X * 5/8
In Jul they pay for the storage 0.2 * 4X * 4/8
In Aug they pay for the storage 0.2 * 4X * 3/8
In Sep they pay for the storage 0.2 * 4X * 2/8
In Oct they pay for the storage 0.2 * 4X * 1/8
total = 0.2 * 4X * 1/8 * [ 1+2+3+4+5+6+7]
= 0.2 * X/2 * (28)
= 2.8X
A
Answer: (A) 2.80x
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
(A) 29
(B) 77
(C) 28
(D) 10
(E) 12
Rationale: lb = 150
2(l + b) = 50 => l + b = 25
l – b = 5
l = 15 b = 10
Answer:D
Answer: (D) 10
Question: Goldenrod and No Hope are in a horse race with 6 contestants. How many different R arrangements of finishes are there if No Hope always finishes before Goldenrod and if all of the horses finish the race?
(A)  720
(B)  360
(C)  120
(D)  24
(E)  21
Rationale: no hope finishing before goldenrod= 1/2 of the times
therefore the different R arrangements are 1/2* 6! = 360 = B
Answer: (B)  360
Question: Ram, who is half as efficient as Krish, will take 27 days to complete a task if he worked alone. If Ram and Krish worked together, how long will they take to complete the task?
(A) 16 days
(B) 12 days
(C) 9 days
(D) 6 days
(E) 18 days
Rationale: Number of days taken by Ram to complete task = 27
Since Ram is half as efficient as Krish , Amount of work done by Krish in 1 day = Amount of work done by Ram in 2 days
If total work done by Ram in 27 days is 27w
Amount of work done by Ram in 1 day = w
Amount of work done by Krish in 1 day = 2w
Total amount of work done by Krish and Ram in a day = 3w
Total amount of time needed by Krish and Ram to complete task = 27w/3w = 9 days
Answer C
Answer: (C) 9 days
Question: Kelvin earns $60 a week from his job. His income increased and now makes $70 a week. What is the percent increase?
(A) 16.66%
(B) 16.87%
(C) 17.62%
(D) 17.85%
(E) 18%
Rationale: Increase = (10/60)*100 = (1/6)*100 = 16.66%.
A
Answer: (A) 16.66%
Question: A man took loan from a bank at the rate of 13% p.a. S.I. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was?
(A) Rs. 1846
(B) Rs. 18846
(C) Rs. 13846
(D) Rs. 2000
(E) Rs. 14846
Rationale: Principal = (100 * 5400) / (13 * 3) = Rs. 13846
ANSWER:C
Answer: (C) Rs. 13846
Question: You enter a weight loss challenge game and manage to lose 10% of your body weight. For the final weigh in you are forced to wear clothes that add 2% to your weight. What percentage of weight loss is measured at the final weigh in?
(A) 13%
(B) 8.2%
(C) 9%
(D) 14%
(E) 12%
Rationale: (100%-10%)*(100%+2%) = 0.90*1.02 = 8.2%
The weigh in records your weight loss at 8.2%!
The Answer is B
Answer: (B) 8.2%
Question: A welder received an order to make a 1 million liter cube-shaped tank. If he has only 5x2 meter sheets of metal that can be cut, how many metal sheets will be required for this order? (1 cubic meter = 1,000 liters)
(A) 92
(B) 60
(C) 82
(D) 78
(E) 75
Rationale: The question say:A welder received an order to make a 1 million liter cube-shaped tank. (1 cubic meter = 1,000 liters)
In other words, the tank is going to have a volume of 1000 cubic meters. That would equal 1 million liters.
A cube with a volume of 1000 cubic meters must be (10 meters) x (10 meters) x (10 meters).
The question doesn't specify whether this tank should have a closed top or an open top. (The real GMAT is good about specifying things like that.) Here, we are going to assume a closed top, only because if the top is open, we don't use enough metal --- we get an answer smaller than any of the answer choices. A closed-top cube, a full cube, has 6 sides, each of which is (10 meters) x (10 meters). That's a total surface area of 600 sq m.
The question tells us:he has only 5x2 meter sheets of metal that can be cut.
Each sheet has an area of 10 sq m. How many of these need to fill up 600 sq m? 600/110 = 60. He needs 60 sheets.
Answer =B
Answer: (B) 60
Question: Three numbers are in the ratio 3:4:5 and their L.C.M. is 240. Their H.C.F is?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Rationale: Let the numbers be 3x,4x and 5x
their L.C.M. = 60x
60x = 240
x = 4
The numbers are 3*4 , 4*4 , 5*4
Hence required H.C.F. = 4
Answer is C
Answer: (C) 4
Question: In how many different ways can the letters of the word ‘MODE’ be arranged?
(A) 60
(B) 24
(C) 36
(D) 12
(E) 16
Rationale: B
24
The word SMART has 4 distinct letters.
Number of arrangements = 4!
= 4 × 3 × 2 × 1 = 24
Answer is B
Answer: (B) 24
Question: WINK,INC recently conducted a survey and found that 180,000 of its customers live in rural areas. if the number of it customers who live in urban areas is 200 percents grater than the numbers of customers who live in rural areas, how many of WINK,INC customers live in urban areas ?
(A) 200,000
(B) 216,000
(C) 360,000
(D) 480,000
(E) 540.0
Rationale: Let's say that we have a starting value of X...
100% of X = X
100% MORE than X = X + X = 2X
200% MORE than X = X + 2X = 3X
300% MORE than X = X + 3X = 4X
Etc.
Here, we're told that 180,000 customers live in rural areas and the number who live in urban areas is 200% GREATER than the number who live in rural areas. That means that the number who are in urban areas is 3 times the number in rural areas...
3(180,000) = 540,000
Final Answer:E
Answer: (E) 540.0
Question: If the price of sugar rises from Rs. 6 per kg to Rs. 7.50 per kg, a person, to have no increase in the expenditure on sugar, will have to reduce his consumption of sugar by
(A) 15%
(B) 20%
(C) 25%
(D) 30%
(E) none
Rationale: Sol.
Let the original consumption = 100 kg and new consumption = x kg.
So, 100 x 6 = x × 7.50 = x = 80 kg.
∴ Reduction in consumption = 20%.
Answer B
Answer: (B) 20%
Question: The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 8 years ago was 20 years. The present age of the husband is:
(A) 20 years
(B) 30 years
(C) 60 years
(D) 34 years
(E) 35 years
Rationale: D
34 years
Sum of the present ages of husband, wife and child = (27 x 3 + 3 x 3) years = 90 years.
Sum of the present ages of wife and child = (20 x 2 + 8 x 2) years = 56 years.
Husband's present age = (90 - 56) years = 34 years.
Answer: (D) 34 years
Question: A company conducted a survey about its two brands, A and B. x percent of respondents liked product A, (x – 20) percent liked product B, 23 percent liked both products, and 23 percent liked neither product. What is the minimum number W of people surveyed by the company?
(A) 46
(B) 80
(C) W.90
(D) W.100
(E) 200
Rationale: 100 = x + x - 20 + 23 - 23
x = 60,
So, Product A = 60%, Product B = 40%, Both = 23%, Neither = 23%
23% of the total no. of people should be an integer. So, A,BC are out.
60% of D and 40% of D are both integers. So, D satisfies all conditions.
So, answer is D.
Answer: (D) W.100