divelab/Sys2Bench huggingface dataset:
Question: If a man can cover 32 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
A)118 km
B)162 km
C)1767 km
D)432 km
E)177 km
Rationale: 32 m/s = 32 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 32 * 18/5 * 15/4 km = 432 km.
Answer: D
Answer: D
Question: Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?
Options:
A)11 1/8 min
B)11 1/4 min
C)11 8/4 min
D)11 1/9 min
E)11 3/4 min
Rationale: 3/12 + x/15
= 1
x= 11 1/4
Answer:B
Answer: B
Question: A board 4ft. 9 inches long is divided into 3 equal parts . What is the length of each part?
Options:
A)5ft. 7 inches
B)3ft. 7 inches
C)4ft. 7 inches
D)2ft. 7 inches
E)1ft. 7 inches
Rationale: Length of board=4ft. 9 inches=(4*12+9)inches=57 inches.
Therefore, Length of each part = (57/3) inches = 19 inches = 1ft. 7 inches
Answer is E.
Answer: E
Question: Jerry went to a shop and bought things worth Rs. 20, out of which 30 % went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Options:
A)14
B)14.7
C)21.3
D)21.5
E)21.7
Rationale: Total cost of the items he purchased = Rs.20
Given that out of this Rs.20, 30 % is given as tax
=> Total tax incurred = 30 % = Rs.30/100
Let the cost of the tax free items = x
Given that tax rate = 6%
∴ (20−30/100−x)6/100 = 30/100
⇒ 6(20 −0.3 −x) = 30
⇒ (20 − 0.3 − x) = 5
⇒ x = 20 − 0.3 − 5 = 14.7
B)
Answer: B
Question: {330, 380, 350, n}
Which of the following could be the median of the 4 integers listed above?
I. 340
II. 350
III. 375
Options:
A)I only
B)II only
C)I and II only
D)II and III only
E)I, II, and III
Rationale: If 340 is the median, (n+350) / 2 = 340. Then n = 330. Thus 340 can be the median.
If 350 is the median, (n+350) / 2 = 350. Then n = 350. Thus 350 can be the median.
If 375 is the median, (n+350) / 2 = 375. Then n = 400. But 400 > 380, which would then be the second largest member of the set, thus 375 can not be the median.
The answer is C.
Answer: C
Question: A credit card number has 6 digits (between 1 to 9 inclusive). The first two digits are 12 in that order, the third digit is bigger than 6, the fourth digit is divisible by 2, and the fifth digit is 4 times the sixth. How many different credit card numbers are possible?
Options:
A)12
B)18
C)24
D)36
E)48
Rationale: The first two digits are fixed.
The third digit can be 7, 8, or 9 so there are 3 choices.
The fourth digit can be 2, 4, 6, or 8 so there are 4 choices.
The fifth digit depends entirely on the sixth digit.
The sixth digit can be 1 or 2 so there are 2 choices.
The number of possibilities is 3*4*2 = 24
The answer is C.
Answer: C
Question: Two pipes P and Q can fill a cistern in 12 and 14 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?
Options:
A)1/8
B)1/4
C)1/2
D)1/4
E)1/4
Rationale: 3/12 + x/14
= 1
x= 10 1/2
Answer: C
Answer: C
Question: A walks at 30 kmph and 30 hours after his start, B cycles after him at 40 kmph. How far from the start does B catch up with A?
Options:
A)1200km
B)1500km
C)2000km
D)2500km
E)3600km
Rationale: Suppose after x km from the start B catches up with A. Then, the difference in the time taken by A to cover x km and that taken by B to cover x km is 30 hours.
x/30 - x/40 = 30
x = 3600 km
Answer is D
Answer: D
Question: A reduction of 30% in the price of salt enables a lady to obtain 10kgs more for Rs.200, find the original price per kg?
Options:
A)7.5
B)8.99
C)8.0
D)9.2
E)8.57
Rationale: Answer:	200*(30/100) = 60 --- 10
? --- 1 => Rs.6
200 --- 140
? --- 6 => Rs.8.57.Answer: E
Answer: E
Question: A person walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 8 minutes earlier. How far is the office from his house?
Options:
A)3 1/5 Km
B)3 1/7 Km
C)4 1/5 Km
D)4 1/7 Km
E)5 km
Rationale: Formula = S1*S2/S2-S1 * T1+T2/60
= 4*6/2 * 16/6
= 24/2 * 16/60
= 8 * 2/5
= 16/5 = 3 1/5 Km
Option 'A'
Answer: A
Question: 150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% sulphuric acid solution. Find the approximate concentration C of the acid in the mixture?
Options:
A)1/2
B)1/3
C)1/4
D)1/6
E)1/5
Rationale: Do not need any computation
30%-----------21%---------12%
if volume of both sol. were equal the concentration C would be 21%=1/5, but 12% is more than 3 times
only possibility is 1/6
D
Answer: D
Question: A channel provider give 2/3 part is movie channel and sport channel is 2 times grater than news channel.news channel is five more than entertainment channel.if entertainment channel is 10.then calculate total no. of channel.
Options:
A)165
B)130
C)225
D)286
E)175
Rationale: let total no. of channel is x.
movie channel=2x/3
entertainment channel=10
news channel=15
sports channel=30
so,2x/3+10+15+30=x,x-2x/3=55,x=55*3=165
answer A
Answer: A
Question: During the second quarter of 1984, a total of 2,976,000 domestic cars were sold. If this was 45% greater than the number sold during the first quarter of 1984, how many were sold during the first quarter ?
Options:
A)714,240
B)2,261,760
C)2,052,413
D)3,690,240
E)3,915,790
Rationale: Let number of cars sold in 1st quarter = x
Number of cars sold in 2nd quarter = 45% greater than the number sold during the first quarter = (1 + 45/100)x = 1.45 x
1.45 x = 2,976,000
=> x = 2,052,413
So, answer will be C
Answer: C
Question: In 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 20 percent, but profits were 11 percent of revenues. The profits in 2009 were what percent of the profits in 2008?
Options:
A)80%
B)105%
C)88%
D)124.2%
E)138%
Rationale: x = profits
r= revenue
x/r = 0,1
x= 10
r=100
2009:
r=80
x/80 = 0,11 = 11/100
x= 80*11/100
x= 8.8
8.8/10 = 0.88 = 88%, Answer C
Answer: C
Question: Jane covered a distance of 360 miles between city A and city B taking a total of 5 hours. If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed, how many hours did she travel at 60 miles per hour?
Options:
A)2 hours 30 minutes
B)4 hours
C)2 hours
D)1 hour 45 minutes
E)None of these
Rationale: Answer
Let Jane travel 'x' at 60 miles per hour.
As the total time taken to cover 340 miles is 5 hours, Jane would have traveled (5 - x) hours at 80 miles per hour.
Distance covered at 60 miles per hour = Speed * time = 60 * x = 60x miles.
Distance covered at 80 miles per hour = Speed * time = 80 (5 - x) = 400 - 80x miles.
Total distance covered = Distance covered at 60 miles per hour + Distance covered at 80 miles per hour.
Therefore, total distance = 60x + 400 - 80x.
Total distance travelled = 340 miles.
Therefore, 360 = 60x + 400 - 80x
20x = 80 or x = 4 hours.
Choice B
Answer: B
Question: 225, or 15^2, is the first perfect square that begins with two 2s. What is the sum of the digits of the next perfect square to begin with two 2s?
Options:
A)9
B)12
C)13
D)14
E)17
Rationale: Because 16^2 = 256,y the next perfect square to begin with two 2s cannot be 3-digit.
Let's try 4-digit. 40^2 = 1,600 and 50^2 = 2,500. So, if there is a 4-digit perfect square to begin with two 2s it must be between 41^2 and 49^2. Test the middle number 45^2 = 2,025. Test larger number: 46^2 = 2,116. Test next number: 47^2 = 2,209. Bingo! The sum of the digits = 2 + 2 + 0 + 9 = 13.
Answer: C.
Answer: C
Question: In a T.V. factory, an average of 61TVs are produced per day for the fist 25days of the months. A few workers fellill for the next five daysreducing the daily avg for the month to58 sets/day . The average production per day for day last 5days is ?
Options:
A)35
B)39
C)48
D)50
E)43
Rationale: Production during these 5 days = Total production in a month - production in first 25 days.
= 30 x 58 - 25 x 61
= 215
âˆ´ Average for last 5 days = 215 / 5
= 43
E
Answer: E
Question: The simple interest on Rs. 23 for 3 months at the rate of 5 paise per rupeeper month is
Options:
A)3.45
B)4.5
C)2.25
D)3.21
E)None
Rationale: Sol.
S.I. = Rs. [23 * 5/100 * 3] = Rs. 3.45
Answer A
Answer: A
Question: If 3 workers collect 48 kg of cotton in 4 days, how many kg of cotton will 9 workers collect in 2 days?
Options:
A)88 kg
B)65 kg
C)72 kg
D)44 kg
E)55 kg
Rationale: (3 * 4)/48 = (9 * 2)/ x
x = 72 kg
Answer:C
Answer: C
Question: If 12 men and 16 boys can do a piece of work in 5 days; 13 men and 24 boys can do it in 4 days, then the ratio of the daily work done by a man to that of a boy is?
Options:
A)2:1
B)2:8
C)2:9
D)2:5
E)2:2
Rationale: Let 1 man's 1 day work = x and 1 boy's 1 day work = y.
Then, 12x + 16y = 1/5 and 13x + 24y = 1/4
Solving these two equations, we get:
x = 1/100 and y = 1/200
Required ratio = x:y = 1/100 : 1/200 = 2:1.
Answer: A
Answer: A
Question: What is the average (arithmetic mean) of the numbers 15, 16, 17, 17, 18, and 19?
Options:
A)14.2
B)16.5
C)17
D)17.5
E)18
Rationale: The average of 15,16,17,18,19 ( sequence numbers) is 17 & now average of 17 & 17(remaining digit from given list) is 17 . Hence answer is 17.
ANSWER:C
Answer: C
Question: A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most
Options:
A)200
B)215
C)220
D)230
E)240
Rationale: Since each ring consists of six different letters, the total number of attempts possible with the three rings is = 6 * 6 * 6 = 216. Of these attempts, one of them is a successful attempt.
Maximum number of unsuccessful attempts = 216 - 1 = 215
B
Answer: B
Question: Of the three-digit integers greater than 800, how many have distinct digits ?
Options:
A) 90
B) 82
C) 80
D) 45
E) 36
Rationale: Three digit number can have only following 3 patterns:
A. all digits are distinct;
B. two digits are alike and third is different;
C. all three digits are alike.
We need to calculate B. B=Total - A - C
Total numbers from 800 to 999 = 299 (3-digit numbers greater than 800);
A. all digits are distinct = 2*9*8=144
Answer: B
Answer: B
Question: How many terms of the arithmetic series 24 21 18 15 g + + + + , be taken continuously so that their sum is – 351
Options:
A)26
B)21
C)9
D)10
E)17
Rationale: In the given arithmetic series, a= 24 = d =-3 .
Sn = – 351
n/2(48-3n+3)=-351
n=26 or -9
hence, 26 terms needed to get sum -351
Option A
Answer: A
Question: In a certain game of dice, the player’s score is determined as a sum of three throws of a single die. The player with the highest score wins the round. If more than one player has the highest score, the winnings of the round are divided equally among these players. If John plays this game against 22 other players, what is the probability of the minimum score that will guarantee John some monetary payoff?
Options:
A)41/50
B)1/216
C)1/221
D)1/84
E)1/42
Rationale: To guarantee that John will get some monetary payoff he must score the maximum score of 6+6+6=18, because if he gets even one less than that so 17, someone can get 18 and John will get nothing.
P(18)=1/6^3=1/216.
Answer: B.
Answer: B
Question: Data sufficiency question:
If solution (x) with alcohol (14%) and solution (y) with alcohol (20%) mixed together to form 24 liters of mixture.
Options:
A)1
B)2
C)3
D)4
E)3
Rationale: Explanation:
Let a liters of first solution, and 'b' liters of second solution has been taken.
So using weighted average formula = n1×a1+n2×a2n1+n2n1×a1+n2×a2n1+n2 = n1×14+n2×20n1+n2=15n1×14+n2×20n1+n2=15
⇒n1=5n2⇒n1n2=51⇒n1=5n2⇒n1n2=51
As total volume was given as 24 liters, first solution = 16×24=416×24=4
So statement 1 is sufficient.
Answer:A
Answer: A
Question: The probability that a number selected at random from the first 50 natural numbers is a composite number is?
Options:
A)157
B)197
C)152
D)1518
E)112
Rationale: Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train = (Speed x Time) = (50/3 * 9) m = 150 m.
Answer: D
Answer: D
Question: Some ladies can do a piece of work in 12 days. Two times the number of such ladies will do half of that
work in :
Options:
A)6 days
B)4 days
C)12 days
D)3 days
E)8 days
Rationale: Expl : Let x ladies can do the work in 12 days. More ladies, less days (Indirect)
Less work, less days (direct)
Ladies 2x : x Work 1 : ½
2x : x , 1 : ½ : : 12 : y
:. 2x * 1*y = x* ½ *12 or y = 3
Hence the required number of days = 3
Answer:D
Answer: D
Question: In Orange County, one ninth of the people are gathering mushrooms and one eighth of the people are collecting apples. What can be the number of people in Orange County?
Options:
A)244
B)260
C)275
D)288
E)292
Rationale: The number must be a multiple of both 9 and 8 so the answer is 288.
The answer is D.
Answer: D
Question: Find the numbers which are in the ratio 3:2:3 such that the sum of the first and the second added to the difference of the third and the second is 24?
Options:
A)4,3,22
B)4,4,22
C)9,3,32
D)9,6,12
E)18,12,18
Rationale: Let the numbers be a, b and c.
a:b:c = 3:2:3
Given, (a + b) + (c - b) = 24
=> a + c = 24
=> 3x + 3x = 24 => x = 6
a, b, c are 3x, 2x, 3x
a, b, c are 18, 12, 18.
Answer:E
Answer: E
Question: How many of the positive divisors D of 120 are also multiples of 4 not including 120?
Options:
A)3.
B)4.
C)5.
D)7.
E)8.
Rationale: 4,8,12,20,24,40,60. (7) is the answer
Other way : factors of 120 = 2^3 * 3*5
Separate 2^2 ( which means 4)
Now, calculate the number of other factors.
D=2*3*5 = total positive factors are 2*2*2 = 8
This 8 factors include 120
So subtract 1 from 8
Ans is 7=D
Answer: D
Question: Ravi and sunil are partners in a business. Ravi invests Rs.20,000 for 8 months and Sunil invested Rs.16000 for 10 months then after one year ratio of their profits will be
Options:
A)1:1
B)2:3
C)3:2
D)3:1
E)3:4
Rationale: =(15000*8):(8000*10)
=160000:160000
=1:1
ANSWER:A
Answer: A
Question: The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides.
Options:
A)2 sq m
B)18 sq m
C)3 sq m
D)12 sq m
E)15 sq m
Rationale: Explanation:
Area S=(a+b+c)/2
S = (1 + 2 + 3)/2 = 3 sq m.
Answer : C
Answer: C
Question: 30% of the men are more than 25 years old and 80% of the men are less than or equal to 50 years old. 20% of all men play football. If 20% of the men above the age of 50 play football, what percentage of the football players are less than or equal to 50 years?
Options:
A)15%
B)20%
C)80%
D)70%
E)90%
Rationale: Explanation :
Let number of men = 100.
Then, 80 men are less than or equal to 50 years old i.e 20 men are greater than 50 years of age.
Now, the number of men above 50 years who play football = 20% of 20 = 4.
20% of all men play football i.e total no. of men who play football = 20, out of which 4 men are above 50 years old.
So, 20 - 4 = 16 men are less than or equal to 50 years old.
Therefore, percentage of football players less than or equal to 50 years = (16/20) x 100 = 80% .
Answer : C
Answer: C
Question: Walking 7/6 of his usual rate, a boy reaches his school 4 min early. Find his usual time to reach the school?
Options:
A)22
B)99
C)27
D)28
E)20
Rationale: Speed Ratio = 1:7/6 = 6:7
Time Ratio = 7:6
1 -------- 7
4 --------- ? è 28 m.Answer:D
Answer: D
Question: Rs. 4536 is divided among 4 men, 5 women and 2 boys. The ratio of share of a man, a woman and a boy is 7: 4: 3. What is the share of a woman?
Options:
A)236
B)336
C)346
D)356
E)426
Rationale: Ratio of the share of a man, a woman and a boy is 7:4:3
No of men, women and boys are 4, 5, 2
Thus effective ratio of men, women and boys is 7*4 : 4*5 : 3*2 = 28 : 20 : 6
so part of women = (20/54)* 4536 = 1680
so part of 1 woman = 1680/5 =336
ANSWER:B
Answer: B
Question: A chemical lab is scheduled to go through two air ventilation systems, a basic system and a more advanced system that takes half an hour and 3 hours respectively to fully ventilate the room. If both ventilation systems were to operate at the same time with their respective constant rates, how many hours would it take to fully ventilate the chemical lab?
Options:
A)1/4
B)1/3
C)2/5
D)5/4
E)3/7
Rationale: The rate of the basic system is 1 room/half hour = 2 rooms per hour
The rate of the advanced system is 1/3 of a room per hour
The combined rate is 7/3 rooms per hour.
The time to ventilate one room is 3/7 of an hour.
The answer is E.
Answer: E
Question: There are 840 male and female participants in a meeting. Half the female participants and one-quarter of the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female?
Options:
A)140
B)100
C)125
D)175
E)225
Rationale: female = x
Male = 840-x
x/2 + 840-x/4 = 1/3* (840)= 280
x= 280
x/2 = 140 is supposed to be the answer
M is missing something
Correct Option A
Answer: A
Question: Robert spent $100 in buying raw materials, $125 in buying machinery and 10% of the total amount he had as cash with him. What was the total amount?
Options:
A)$150
B)$210
C)$250
D)$160
E)$200
Rationale: Let the total amount be x
then, (100-10)% of x = 100+125
90% of x = 225
90x/100 = 225
x = $250
Answer is C
Answer: C
Question: Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.88 at the candy store. What is John’s weekly allowance?
Options:
A)$2.70
B)$3.00
C)$3.30
D)$3.60
E)$3.90
Rationale: x = 3x/5 + 1/3*2x/5 + 88
4x/15 = 88
x = 330 = $3.30
The answer is C.
Answer: C
Question: A 10% stock yields 8%.The market value of the stock is :
Options:
A)Rs. 72
B)Rs. 125
C)Rs. 112.50
D)Rs. 116.50
E)None of these
Rationale: solution
To obtain Rs. 8, investment = Rs. 100.
To obtain Rs. 10, investment = Rs.(100/8X10)= Rs. 125
∴ Market value of Rs. 100 stock = Rs.125
Answer B
Answer: B
Question: Two trains are moving in the same direction at 126 kmph and 54 kmph. The faster train crosses a man in the slower train in 14 seconds. Find the length of the faster train?
Options:
A)280
B)290
C)300
D)310
E)320
Rationale: Relative speed = (126 - 54) * 5/18 = 4 * 5
= 20 mps.
Distance covered in 27 sec
= 14 * 20
= 280 m.
The length of the faster train
= 280 m.
Answer:A
Answer: A
Question: If cost of sugar increases by 12%. How much percent consumption of sugar should be decreased in order to keep expenditure fixed?
Options:
A)7.5
B)9.2
C)10.7
D)15.3
E)18.6
Rationale: 100
112
-----
112 ----- 12
100 ------ ? => 10.7%
Answer:C
Answer: C
Question: Sheena has a pet frog and it is growing fast and eating more flies each day. When she first brought it home on Monday it ate 3 flies, Tuesday it ate 6, Wednesday it ate 9, and Friday it ate 15.
How many flies did her frog eat on Thursday?
Options:
A)12
B)14
C)10
D)11
E)13
Rationale: A) 12. The frog started eating 3 more flies each day.
3 +3 =6
6+3=9
9+3=12
12+3=15
Answer: A
Question: 30.5 % of 2000
Options:
A)556
B)612.5
C)756.8
D)610
E)820
Rationale: 1 % of 2000 = 2030% of 2000 = 30*20 =6000.5% of 2000 = 0.5*2000 = 10Total =610Answer :D
Answer: D
Question: In how many ways can the letters of the word 'BANANA' be arranged?
Options:
A)60
B)50
C)48
D)96
E)78
Rationale: The word BANANA contains 6 letters
1B,3A,2N
required number of ways = 6!/(1!*3!*2!) = 60
Answer is A
Answer: A
Question: If 30/x is an integer and 3/x is an integer, which of the following must be true?
I. 10/x is an integer
II. 3/x is an integer
III. 6/x is an integer
Options:
A)II only
B)I only
C)III only
D)II,III only
E)I,III only
Rationale: The question asks which of the following MUST be true, not COULD be true. The largest possible value of x is 3, GCD of 30 and 3, and if x=3 then ONLY II is true.
Answer: A
Answer: A
Question: The average of marks obtained by 120 boys was 38. If the average of marks of passed boys was 39 and that of failed boys was 15, the number of boys who passed the examination is?
Options:
A)100
B)110
C)115
D)125
E)140
Rationale: Let the number of boys who passed = X.
Then, 39 x X + 15 x (120 - X) = 120 x 38
24X = 4560 - 1800
=> X = 2760/24
X = 115.
Hence, the number of boys passed = 115.
ANSWER:C
Answer: C
Question: How many words can be formed by using all letters of the word “LOVE”
Options:
A)12
B)24
C)15
D)16
E)140
Rationale: The word LOVE contains 4 different letters.
Required number of words = 4p4 = 4! = (4x3x2x1) = 24.
Answer B
Answer: B
Question: man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
Options:
A)14years
B)26 years
C)17 years
D)18 years
E)22 years
Rationale: Let the son's present age be x years. Then, man's present age = (x + 20) years.
(x + 24) + 2 = 2(x + 2)
x + 26 = 2x + 4
x = 22.
answer :E
Answer: E
Question: When the positive integer c is divided by 11, the quotient is d and the remainder 3. When c is divided by 19, the remainder is also 3. What is the remainder when d is divided by 19?
Options:
A)4
B)3
C)2
D)1
E)0
Rationale: Any Number which when divided by divisor d1,d2, etc. leaving same remainderrtakes the form ofK+r
where k = LCM (d1,d2)
In this case the divisors are 1119 and remainder is 3.
so LCM (11,19) = 209
So N= 209+3 = 212
Also c=d1q+3 ; which means d1q=209d1=11 therefore q=19
And ( d divided by 19)19/19 leaves remainder 0.
Answer is E
Answer: E
Question: Vikas can cover a distance in 1hr 24min by covering 2/3 of
the distance at 4 kmph and the rest at 5kmph.the total
distance is?
Options:
A)8km
B)6 km
C)2km
D)11km
E)7km
Rationale: Let total distance be S
total time=1hr24min
A to T :: speed=4kmph
diistance=2/3S
T to S :: speed=5km
distance=1-(2/3S)=1/3S
21/15 hr=(2/3 S)/4 + (1/3s) /5
84=(14/3S)*3
S=(84*3)/14*3
= 6km
Answer is B.
Answer: B
Question: The ratio between Sumit's and Prakash's age at present is 2:3. Sumit is 6 years younger than Prakash. The ratio of Sumit's age to Prakash's age after 6 years will be :
Options:
A)1 : 2
B)2 : 3
C)3 : 4
D)3 : 8
E)None
Rationale: Explanation:
Let their ages be 2x and 3x years.
3x-2x=6 or x=6
Sumit's age = 12 years, Prakash's age = 24 years
Ratio of their ages = 18 : 24 = 3 :4.
Correct Option: C
Answer: C
Question: If 8 men or 12 women can do a piece of work in 20 days, in how many days can the same work be done by 6 men and 11 women?
Options:
A)10 days
B)11 days
C)12 days
D)15 days
E)17 days
Rationale: 8men = 12women (i.e 2men = 3women)
12women 1 day work= 1/20
soln:
6men(9women)+ 11women=20women=?
1 women 1 day work =12*20= 1/240
so, 20 women work= 20/240=1/12
ans: 12days
ANSWER:C
Answer: C
Question: Sabrina gave Samantha as many dollars as Samantha started out with. Samantha then gave Sabrina back as much as Sabrina had left.
Sabrina then gave Samantha back as many dollars as Samantha had left, which left Sabrina broke and gave Samantha a total of $80.00. How much did Sabrina and Samantha have at the beginning of their exchange?
Options:
A)$50
B)$40
C)$30
D)$20
E)$10
Rationale: Sabrina had $50 and Samantha had $30.
This can be solved by setting up two simultaneous equations, but it’s easier just to work backwards.
At each step, the person who is receiving the money gets the amount that they were already holding. In other words, they double their money.
Therefore, just before the last exchange, Samantha must have had $40 and was given another $40 to get to her total of $80.
Just before the second exchange, Sabrina must have had half of her $40. Therefore, Sabrina had $20 and Samantha had $60.
After the first exchange Samantha doubled her money, so she must have had $30 before the exchange, leaving Sabrina with $50 at the start.
Answer A
Answer: A
Question: The average age of a class of 20 students is 21 years. The average increased by 1 when the teacher's age also included. What is the age of the teacher?
Options:
A)40
B)41
C)42
D)45
E)43
Rationale: Total age of all students =20Ã—21
Total age of all students + Age of the teacher =21Ã—22
Age of the teacher
=21Ã—22âˆ’21Ã—20=21(22âˆ’20)=21Ã—2=42
Answer is C.
Answer: C
Question: If the integer N = 139k53 where k is the hundreds digit, N can never be divisible by which of the following?
Options:
A)5
B)3
C)4
D)6
E)9
Rationale: Apply the rule here that for a number to be divisible by 5 the last digits must be 0 or 5
Since in 'N' integer last digit is 3
This is never divisible by 5.
hence A is correct
Answer: A