mathewhe/aqua_rat huggingface dataset:
Question: Tom, working alone, can paint a room in 6 hours. Peter and John, working independently, can paint the same room in 3 hours and 5 hours, respectively. Tom starts painting the room and works on his own for one hour. He is then joined by Peter and they work together for an hour. Finally, John joins them and the three of them work together to finish the room, each one working at his respective rate. What fraction of the whole job was done by Peter?
(A) 19/35
(B) 23/42
(C) 27/55
(D) 31/63
(E) 35/74
Rationale: Tom paints 1/6 of the room in the first hour.
Tom and Peter paint 1/6+1/3 = 1/2 of the room in the next hour for a total of 4/6.
The three people then paint the remaining 2/6 in a time of (2/6) / (21/30) = 10/21 hours
Peter worked for 31/21 hours so he painted 31/21 * 1/3 = 31/63 of the room.
The answer is D.
Answer: (D) 31/63
Question: Kelly and Jody packed boxes with books. If Jody packed 60% of the total number of boxes, what was the ratio of the number of boxes Kelly packed to the number that Jody packed?
(A) 1 to 6
(B) 1 to 4
(C) 2 to 5
(D) 3 to 5
(E) 2 to 3
Rationale: Explanation:
If Jody packed 60% of the boxes then Kelly packed 40%. The ratio of the number of boxes Kelly packed to the number Jody packed is thus 40%/60%=2/3
Answer: Option E
Answer: (E) 2 to 3
Question: Six persons in an organization including A and B were to be divided in two groups of 3 members each. The total number of groups containing both A and B is what fraction of the total number of groups which can be formed?
(A) 3/10
(B) 1/70
(C) 3/14
(D) 1/10
(E) 11/14
Rationale: The fraction is nothing but the probability..
Number to choose 3 out of 6= 6C3
Number to choose A and B and 2 from remaining 4=4C2..
prob of A and B choosen=4C2/6C3=3/10
Answer : A
Answer: (A) 3/10
Question: A rectangular block 15cm by 30cm by 75cm is cut into an exact number of equal cubes. Find the least possible number of cubes?
(A) 6
(B) 40
(C) 15
(D) 10
(E) 22
Rationale: Volume of the block = 15*30*75 = 33750 cm^3
Side of the largest cube = H.C.F of 15,30,75 = 15cm
Volume of the cube = 15*15*15 = 3375 cm^3
Number of cubes = 33750/3375 = 10
Answer is D
Answer: (D) 10
Question: The ratio between the speeds of two trains is 7 : 10. If the second train runs 400 kms in 8 hours, then the speed of the first train is
(A) 35 km/h
(B) 60 km/h
(C) 45 km/h
(D) 50km/h
(E) 30 km/h
Rationale: A
35 km/h
Answer: (A) 35 km/h
Question: The length of each side of square A is increased by 100 percent to make square B. If the length of the side of square B is increased by 40 percent to make square C, by what percent is the area of square C greater than the sum of the areas of squares A and B?
(A) 75.00%
(B) 56.80%
(C) 110%
(D) 150%
(E) 180%
Rationale: Let length of each side of square A be 10
Area of A = 10^2 = 100
Since , length of each side of square A is increased by 100 percent to make square B
length of each side of square B = 2*10 = 20
Area of B = 20^2 = 400
Since , length of the side of square B is increased by 40 percent to make square C
length of each side of square C= 1.4*20 = 28
Area of C= 28^2 = 784
Difference in areas of C and cummulative areas of A and B = 784 -(400+100) = 284
percent is the area of square C greater than the sum of the areas of squares A and B = (284/500) * 100 % = 56.80%
Answer B
Answer: (B) 56.80%
Question: In a certain large company, the ratio of college graduates with a graduate degree to non-college graduates is 1:8, and ratio of college graduates without a graduate degree to non-college graduates is 2:3. If one picks a random college graduate at this large company, what is the probability R this college graduate has a graduate degree?
(A) 1/11
(B) 1/12
(C) 1/13
(D) 3/19
(E) 3/43
Rationale: In believe the answer is D. Please see below for explanation.
0) we are told the following ratios
CGD - College Graduate with Degree
NCG - Non College Graduate
CGN - College Graduate no Degree
CGD NCG CGN
1 8
3 2
In order to make CGD and CGN comparable we need to find the least common multiple of 8 and 3 and that is 24 multiplying the first ratio by 3 and the second ratio by 8 we get
CGD NCG CGN
3 24 16
If one picks a random college graduate at this large company, what is the probability this college graduate has a graduate degree?
Nr of CGD = 3
Nr of CG = 3+ 16 = 19
Probability R of CGD / (CG) -> 3/19
Answer D
Answer: (D) 3/19
Question: How many three letter words are formed using the letters of the word TIME?
(A) 25
(B) 29
(C) 25
(D) 24
(E) 23
Rationale: The number of letters in the given word is four.
The number of three letter words that can be formed using these four letters is 4P3
= 4 * 3 * 2
= 24.
Answer: D
Answer: (D) 24
Question: 3034−(1002÷20.04)=?
(A) 1964
(B) 1984
(C) 2964
(D) 2984
(E) None of these
Rationale: Explanation:
=3034−(1002/2004×100)
=3034−50=2984
Option D
Answer: (D) 2984
Question: If A's height is 20% less than that of B, how much percent B's height is more than that of A?
(A) 66.66%
(B) 66.68%
(C) 66.766%
(D) 86.66%
(E) 25%
Rationale: Excess of B's height over A's = [(20/(100 - 20)] x 100%
= 25%
Answer: E)
Answer: (E) 25%
Question: A train 50 m long is running at the speed of 30 km / hr. Find the time taken by it to pass a man standing near the railway line in seconds
(A) 5 sec
(B) 6 sec
(C) 7 sec
(D) 8 sec
(E) 3 sec
Rationale: Explanation:
Speed of the train = (60 x 5/18m / sec = 50/3 m/ sec.
Distance moved in passing the standing man = 100 m.
Required time taken = 50/(50/3) = (50 Ã—(3/50)) sec =3 sec
Answer: Option E
Answer: (E) 3 sec
Question: Replace the ? by the correct Mathematics symbol to make the expression true
18 ? 12 ? 4 ? 5 = 59
(A) 18 ÷ 12 x 4 - 5 = 59
(B) 18 + 12 ÷ 4 - 5 = 59
(C) 18 x 12 + 4 - 5 = 59
(D) 18 x 12 ÷ 4 + 5 = 59
(E) 18 x 12 ÷ 4 - 5 = 59
Rationale: D
Answer: (D) 18 x 12 ÷ 4 + 5 = 59
Question: (x + 5) is a factor in x^2 - mx - 40. What is the value of m?
(A) 1
(B) 2
(C) 4
(D) 3
(E) 5
Rationale: I solved the second degree equation and found it like this:
x^2 - mx - 40 = 0
(x-8)(x+5) = 0
x=8 or x= -5
Substituting both values for x in the equation we find:
x^2 - mx -40
=> (-5)^2 - m(-5) = 40
=> 25+ 5m= 40
=> 5m = 40-25=15
=> m = 3
And with 8, using a similar process we end up with:
(8)^2 - m(8) =40
-8m = 40-64= -24
m=3
Ao,ANS D
Answer: (D) 3
Question: Braun invested a certain sum of money at 8% p.a. simple interest for 'n' years. At the end of 'n' years, Braun got back 2 times his original investment. What is the value of n?
(A) 50 years
(B) 25 years
(C) 12 years 6 months
(D) 37 years 6 months
(E) 40 years
Rationale: Explanatory Answer
Let us say Braun invested $100.
Then, at the end of 'n' years he would have got back $200.
Therefore, the Simple Interest earned = 200 - 100 = $100.
We know that Simple Interest = (Principal * number of years * rate of interest) / 100
Substituting the values in the above equation we get 100 = (100 * n * 8) / 100
Or 8n = 100
Or n = 12.5years.
correct choice is (C)
Answer: (C) 12 years 6 months
Question: What percent is 120 of 60?
(A) 133 1/3 %
(B) 134 1/3 %
(C) 200 %
(D) 140 1/3 %
(E) 143 1/3 %
Rationale: 120/60 = 2/1
2 × 100 = 200 %
C
Answer: (C) 200 %
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
(A) 327
(B) 350
(C) 276
(D) 287
(E) 261
Rationale: Speed = 300/18 = 50/3 m/sec.
Let the length of the platform be x meters.
Then, (x + 300)/39 = 50/3
3x + 900 = 1950 => x = 350 m.
Answer: B
Answer: (B) 350
Question: If six thousand six hundred and six dollar is written as $6,606, then write eleven thousand eleven hundred and eleven dollars.
(A) $12,118
(B) $12,119
(C) $12,110
(D) $12,115
(E) $12,111
Rationale: E
$12,111
Answer: (E) $12,111
Question: If x > y and y > z, which of the following represents the greatest number W?
(A)  x − z
(B)  x − y
(C)  y − x
(D)  z − y
(E)  z − x
Rationale: Because x>y>z
thus W=x- z wil lbe greatest
Ans: A
Answer: (A)  x − z
Question: A certain car can travel 40 minutes on a gallon of gasoline at 50 miles per hour. If the car had started with a full tank and had 8 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 80 miles at 60 mph?
(A) 15%
(B) 20%
(C) 25%
(D) 30%
(E) 40%
Rationale: Let, Tank capacity = T gallon
Used Fuel = (T-8) gallons
Distance Travelled (@50 miles/hr) = 80 miles
Distance travelled in 1 gallon = Distance travelled in 40 mins (@50 miles/hr) = (50/50)*40 = 40 miles
Fuel used to travel 80 miles = (80/40) = 2 gallon
i.e. Used fuel = (T-8) = 2 gallon
i.e. T = 10 Gallons
i.e. Used Fuel = (2/10)*100 =20%
B
Answer: (B) 20%
Question: If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number.
(A) 2:5
(B) 2:7
(C) 5:7
(D) 5:3
(E) None of these
Rationale: Explanation:
Let the first number is A and second number is B.
As per question
40/100A=2/3B
A/B=2/3∗100/40
A/B=5/3
=>A:B=5:3
Option D
Answer: (D) 5:3
Question: A, B and C can do a piece of work in 24 days, 30 days and 40 days respectively. They began the work together but C left 6 days before the completion of the work. In how many days was the work completed?
(A) 12 days
(B) 16 days
(C) 18 days
(D) 11.5 days
(E) 38 days
Rationale: One day work of A, B and C = 1/24 + 1/30 + 1/40 = 1/10 Work done by A and B together in the last 6 days = 6*(1/24 + 1/30) = 9/20
Remaining work = 11/20
The number of days required for this initial work = 5.5 days.
The total number of days required = 6 + 5.5 = 11.5 days.Answer: D
Answer: (D) 11.5 days
Question: In the infinite sequence 10, 15, 20, 25, 30, . . . , where each term is 5 greater than the previous term, the 32th term is
(A) 183
(B) 178
(C) 165
(D) 139
(E) 179
Rationale: T(n) = a + (n-1) d
Here d =5, a=10, n=32
Solving we get T(n) = 165.
Answer: C
Answer: (C) 165
Question: 6.2 is what percent of 1000?
(A) 62%
(B) 6.2%
(C) 0.62%
(D) 0.062%
(E) 0.0062%
Rationale: 10% of 1000 is 100.
6.2 is way less than 100 (10% of 1000).So it cannot be 62% of 1000. eliminate option a
1% of 1000 is 10.
6.2 is less than 10. So it cant be 6.2%.eliminate option b
(0.5%) i.e. half of 1% of 1000 is 5.
but 6.2 is greater than 5..
So it has to be greater than 0.5%...hence answer is 0.62%,
ANSWER:C
Answer: (C) 0.62%
Question: What will be the reminder when (27^27+27) is divided by 28?
(A) 92
(B) 43
(C) 71
(D) 26
(E) 31
Rationale: (x^n+1) will be divisible by (x+1) only when n is odd;
(27^27+1) will be divisible by (27+1);
(27^27+1)+26 when divided by 28 will give 26 as remainder.
Correct Option : D
Answer: (D) 26
Question: A certain sum becomes four times itself at simple interest in eight years. In how many years does it become ten times itself?
(A) 66 years
(B) 88 years
(C) 99 years
(D) 44 years
(E) 24 years
Rationale: Let the sum be Rs. x, then it becomes Rs. 4x in eight years Rs. 3x is the interest on x for eight years.
R = (100 * 3x)/(x * 8) = 300/8 %
If the sum becomes ten times itself, then interest is 9x.
The required time period = (100 * 9x)/(x * 300/8) = (100 * 9x * 8)/(x * 300) = 24 years.Answer: E
Answer: (E) 24 years
Question: If x is an integer, then x(x – 1)(x – k) must be evenly divisible by six when k is any of the following values EXCEPT
(A) -4
(B) -2
(C) -1
(D) 2
(E) 5
Rationale: We have the product of 3 integers: (x-1)x(x-k).
Note that the product of 3 integers is divisible by 6 if at least one multiple is divisible by 6. Now, to guarantee that at least one integer out of x, (x – 1), and (x – k) is divisible by 6 these numbers must have different remainders upon division by 3, meaning that one of them should have remainder of 1, another reminder of 2 and the last one remainder of 0, so be divisible by 6.
Next, if k=2 then we'll have (x-1)x(x-2)=(x-1)x(x-2) --> which means that (x-1) and (x-2) will have the same remainder upon division by 6. Thus for k=2 we won't be sure whether (x-1)x(x-k) is divisible by 6.
Answer: D.
Answer: (D) 2
Question: 8 people decided to split the restaurant bill evenly. If the bill was $214.18 dollars, how much money did they 1 cent is the smallest unit?
(A) $214.16
(B) $214.17
(C) $214.18
(D) $214.19
(E) $214.24
Rationale: If the last three digits of a whole number are divisible by 8, then the entire number is divisible by 8
the last 3 digit 418 not divisible by a
Hence, we need to add 6 to this number for it to be divisible by 8
Correct Option: E
Answer: (E) $214.24
Question: Ravi's average (arithmetic mean) test score on 4 tests is 78. What must be the student's score on a 5th test for the Ravi's average score on the 5 tests to be 80?
(A)  80
(B)  82
(C)  84
(D)  86
(E)  88
Rationale: E. 88
Ravi must score at least an 80 for sure. If he scores an 8, then he will need to score 2 pots for each of the 4 other tests tomake upthe difference. They each were at 78 (at least the average is, but this is a small point and doesn't matter to the answer). So 4 tests that were each 2 points short of the 80 average that is desired means the next test must be 8 points higher than the desired average, so 80+8 = 88.
Answer: (E)  88
Question: Potatoes are made up of 99% water and 1% potato matter. Jack bought 100 pounds of potatoes and left them outside in the sun for a while. When he returned, he discovered that the potatoes had dehydrated and were now only made up of 98% water. How much did the potatoes now weigh?
(A) 50 pounds
(B) 80 pounds
(C) 90 pounds
(D) 100 pounds
(E) 60 pounds
Rationale: initially water weigh 99 pounds & patato matter weigh 1 pound.
after dehydration
water = 98%
=> potato matter = 2% = 1 pound
100% = (1/2) * 100 = 50 pounds
So, potato now weigh 50 pounds.
ANSWER:A
Answer: (A) 50 pounds
Question: Excluding stoppages, the speed of a bus is 54 km/hr and including stoppages, it is 45 km/hr. For how many minutes does the bus stop per hour?
(A) 15 min
(B) 10 min
(C) 17 min
(D) 20 min
(E) 30 min
Rationale: D
10 min
Due to stoppages, it covers 9 km less.
Time taken to cover 9 km = 9/54 * 60 = 10 min.
Answer: (D) 20 min
Question: if x:y = 1:3, then find the value of
(7x+3y):(2x+y)
(A) 14:5
(B) 15:5
(C) 16:5
(D) 17:5
(E) None of these
Rationale: Explanation:
let x = 1k and y = 3k, so
=7(k)+3(3k)/ 2(k)+1(3k)
=16k/5k
=16:5
Option C
Answer: (C) 16:5
Question: Given that 2.25 x 10(power 3), Which of the following options is equal to it?
(A) 2150
(B) 2290
(C) 1250
(D) 2210
(E) 2250
Rationale: = 2.25 x 10(power 3)
= 2.25 x 1000
= 2250.
Answer is E.
Answer: (E) 2250
Question: Two water pumps, working simultaneously at their respective constant rates, took exactly six hours to fill a certain swimming pool. If the constant rate of one pump was 1.5 times the constant rate of the other, how many hours would it have taken the slower pump to fill the pool if it had worked alone at its constant rate?
(A) 9
(B) 12
(C) 15
(D) 18
(E) 21
Rationale: Let x be the rate of the slower pump. Then 1.5x is the rate of the faster pump.
Both pumps together can fill 1/6 of the pool each hour.
2.5x = 1/6
x = 1/15
The slower pump could fill the pool in 15 hours.
The answer is C.
Answer: (C) 15
Question: Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into a hat. If 5 of the slips are the drawn, without replacement, what is the probability that all 5 have a odd number written on it?
(A) 1/12
(B) 1/10
(C) 1/8
(D) 1/24
(E) 5/9
Rationale: Key is that there is no replacement, so each successive choice will become more skewed towards picking a neg (i.e. the pool of positives decreases, while the pool of negatives stay the same)
P(+ on 1st pick) = 5/10
P(+ on 2nd pick) = 4/9
P(+ on 3rd pick) = 3/8
P(+ on 4rd pick) = 2/7
P(+ on 5rd pick) = 1/6
5/10*4/9*3/8*2/7*1/6=1/252
A
Answer: (A) 1/12
Question: The Royal Hawaiian Hotel decorates its Rainbow Christmas Tree with non-flashing white lights and a series of colored flashing lights - red, blue, green, orange, and yellow. The red lights turn red every 20 seconds, the blue lights turn blue every 30 seconds, the green lights turn green every 45 seconds, the orange lights turn orange every 60 seconds, and yellow lights turn yellow every 1 minute and 20 seconds. The manager plugs the tree in for the first time on December 1st precisely at midnight and all lights begin their cycle at exactly the same time. If the five colored lights flash simultaneously at midnight, what is the next time G all five colored lights will all flash together at the exact same time?
(A) 0:03 AM
(B) 0:04 AM
(C) 0:06 AM
(D) 0:12 AM
(E) 0:24 AM
Rationale: Time taken by each light to on
Red = 20 secs
Blue = 30 secs
Green = 45 secs
Orange = 60 secs
Yellow = 80 secs
We need to take LCM to find the time all five colored lights will flash together.
LCM = 720 secs
=12 mins
=0.12 AM
Ans = D
Answer: (D) 0:12 AM
Question: Last year, Company X paid out a total of $1,050,000 in salaries to its 21 employees. If no employee earned a salary that is more than 15% greater than any other employee, what is the lowest possible salary that any one employee earned?
(A)  $40,000
(B)  $41,667
(C)  $42,000
(D)  $43,750
(E)  $60,000
Rationale: Employee 1 earned $x(say)
Employee 2 will not earn more than $1.15x
Therfore, to minimize the salary of any one employee, we need to maximize the salaries of the other 20 employees
(1.15x*20)+x=1,050,000
Solving for x=$43,750
Answer D
Answer: (D)  $43,750
Question: How much more would Rs.20000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
(A) 482
(B) 442
(C) 552
(D) 662
(E) 526
Rationale: 20000(11/10)4 - 20000(6/5)2 = 482
Answer: A
Answer: (A) 482
Question: The Carson family will purchase three used cars. There are two models of cars available, Model A and Model B, each of which is available in three colors: blue, black, red, and green. How many different combinations of three cars can the Carsons select if all the cars are to be different colors?
(A) 24
(B) 32
(C) 8
(D) 60
(E) 192
Rationale: I have no idea how you got 8C8, 7C6 and 4C1.
I could have understood 8C1*6C1*4C1 (I have explained why this doesn't work in the post above)
The best way to solve it is by first selecting 3 colors out of the given 4 in 4C3 ways. (say, you got black, red and green)
Now for each color, you have 2 choices - model A or B
So you select a model in 2 ways.
No of ways of selecting the 3 cars = 3C3 * 2 * 2 * 2 = 8
Well, my logic was
The number of ways of selecting r objects from n different objects is nCr.
We have 8 options and can select either of the 8 as the first - 8C8
One car is gone and one becomes a forbidden choice so we have 7 options and need to select either of the 6 as the first - 7C6
Two cars are gone and two becomes a forbidden choice so we have 6 options and need to select either of the 4 as the first - 6C4
C
Answer: (C) 8
Question: Of 70 players on a cricket team, 37 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total?
(A) 54
(B) 55
(C) 59
(D) 71
(E) 92
Rationale: Total = 90
Thrower = 37
Rest = 90 - 37 = 33
Left Handed = 33/3 = 11
Right handed = 22
If all Thrower are right handed then total right handed is 37 + 22 = 59
so C. 59 is the right answer
Answer: (C) 59
Question: If p is the product of the integers from 1 to 36, inclusive, what is the greatest integer k for which 3^k is a factor of p?
(A) 13
(B) 15
(C) 17
(D) 19
(E) 21
Rationale: 36! has 3, 6, 9,....30, 33, 36 as factors, which are 12 multiples of 3.
We need to add 5 more to these 12 because of 9, 18, 27, and 36.
The greatest integer of k is 17.
The answer is C.
Answer: (C) 17
Question: In a stack of cards, 9 cards are blue and the rest are red. If 2 cards are to be chosen at random from the stack without replacement, the probability that the cards chosen will both be blue is 6/11. What is the number of cards in the stack?
(A) 10
(B) 11
(C) 12
(D) 15
(E) 18
Rationale: 9/(9+x)∗8/(8+x)=6/119/(9+x)∗8/(8+x)=6/11
0=17x+x2−600=17x+x2−60
0=(x+20)(x−3)0=(x+20)(x−3)
x=3
9+3 = 12
the answer is (C)
Answer: (C) 12
Question: Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days?
(A) 1/8
(B) 1/3
(C) 1/6
(D) 1/2
(E) 5/3
Rationale: A's one day's work = 1/30
B's one day's work = 1/45
(A + B)'s one day's work = 1/30 + 1/45 = 1/18
The part of the work completed in 3 days = 3 (1/18) = 1/6.
Answer:C
Answer: (C) 1/6
Question: Fourthty percent of the members of a swim club have passed the lifesaving test. Among the members who havenotpassed the test, 12 have taken the preparatory course and 30 have not taken the course. How many members are there in the swim club?
(A)  60
(B)  70
(C)  100
(D)  120
(E)  140
Rationale: 40% of the members have passed the test, thus 60% have not passed the test.
We also know that 30+12=42 members have not passed the test, thus 0.6*Total=42 --> Total=70.
Answer: B.
Answer: (B)  70
Question: When a producer allows 36% commission on retail price of his product, he earns a profit of 8.8%. what would be his profit % if the commission is reduced by 24%?
(A) 45.9
(B) 47.9
(C) 49.6
(D) 51.9
(E) None of them
Rationale: Let the retail price =Rs 100.then, commission=Rs 36
S.P=Rs(100-36)=Rs 64
But, profit=8.8%
C.P=Rs(100/108.8*64)=Rs 1000/17
New commission =Rs12. New S.P=Rs(100-12)Rs 88
Gain=Rs(88-1000/17)=Rs 496/17
Gain%=(496/17*17/1000*100)%=49.6%
Answer is C.
Answer: (C) 49.6
Question: If four coins are tossed, the probability of getting two heads and two tails is?
(A) 3/8
(B) 2/7
(C) 2/5
(D) 1/4
(E) 1/7
Rationale: Since four coins are tossed, sample space = 24
Getting two heads and two tails can happen in six ways.
n(E) = six ways
p(E) = 6/24 = 3/8
Answer: A
Answer: (A) 3/8
Question: Three seventh of a number is 12 more than 40% of that number. What will be the 30% of that number?
(A) A)148
(B) B)210
(C) C)63
(D) D)248
(E) E)258
Rationale: 3/7 x – 40/100 x = 12
x = 35 * 12
35 * 12 * 30/100 = 126/2 = 63
ANSWER:C
Answer: (C) C)63
Question: If the two hands in a clock are 15 minutes divisions apart,then the angle between them is
(A) 3Â°
(B) 18Â°
(C) 24Â°
(D) 90Â°
(E) None of these
Rationale: In a clock, each minute makes 6Â°
âˆ´ 15 minutes will make 6 Ã— 15 = 90Â°
Answer D
Answer: (D) 90Â°
Question: Sides of a rectangular park are in the ratio 2:5 and its area is 3750 sq m, the cost of fencing it at 50 ps per meter is?
(A) s.122
(B) s.129
(C) s.125
(D) s.120
(E) s.130.64
Rationale: 2x * 5x = 3750 => x = 19.36
2(80.64 + 50) = 261.28 m
261.28 * 1/2 = Rs.130.64
Answer:E
Answer: (E) s.130.64
Question: Alex bought 160 shirts at the rate of $225 per shirt. The transport expenditure was $1400. He paid an octroi at the rate of $1.75 per shirt and labour charges were $320. What should be the selling price of one shirt, if he wants a profit of 20%?
(A) $244
(B) $255
(C) $285
(D) $277
(E) $238
Rationale: C
$285
Total CP per shirt = 225 + 1400/160 + 1.75 + 320/160 = $237.5
SP = CP[(100 + profit%)/100]
= 237.5 * [(100 + 20)/100] = $285.
Answer: (C) $285
Question: A dishonest dealer professes to sell his goods at Cost Price but still gets 20% profit by using a false weight. What weight does he substitute for a kilogram?
(A) 833 8/3 grams
(B) 833 1/3 grams
(C) 837 1/3 grams
(D) 533 1/3 grams
(E) 233 1/3 grams
Rationale: If the cost price is Rs.100, then to get a profit of 20%, the selling price should be Rs.120.
If 120kg are to be sold, and the dealer gives only 100kg, to get a profit of 20%.
How many grams he has to give instead of one kilogram(1000 gm).
120 gm ------ 100 gm
1000 gm ------ ?
(1000 * 100)/120 = 2500/3 = 833 1/3 grams.
Answer:B
Answer: (B) 833 1/3 grams