mathewhe/aqua_rat huggingface dataset:
Question: In a consumer survey, 65% of those surveyed liked at least one of three products: 1, 2, and 3. 40% of those asked liked product 1, 35% liked product 2, and 15% liked product 3. If 7% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?
(A) 12
(B) 14
(C) 16
(D) 18
(E) 20
Rationale: 40 + 35 + 15 = 90
This number includes some people counted twice and some people counted three times.
90 - 65 = 25, and this number represents people counted twice or three times.
7% of the people are counted two extra times.
The percentage of people counted one extra time is 25 - 7(2) = 11.
The percentage of people who liked more than one product is 7% + 11% = 18%.
The answer is D.
Answer: (D) 18
Question: A man can row upstream at 10 kmph and downstream at 20 kmph, and then find the speed of the man in still water?
(A) 11
(B) 77
(C) 25
(D) 88
(E) 34
Rationale: US = 20
DS = 30
M = (30 + 20)/2 = 25
Answer:C
Answer: (C) 25
Question: A vessel of capacity 90 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution?
(A) 72
(B) 72.9
(C) 73
(D) 74
(E) 74.5
Rationale: Let the initial quantity of milk in vessel be T litres.
Let us say y litres of the mixture is taken out and replaced by water for n times, alternatively.
Quantity of milk finally in the vessel is then given by [(T - y)/T]n * T
For the given problem, T = 90, y = 9 and n = 2.
Hence, quantity of milk finally in the vessel
= [(90 - 9)/90]2 (90) = 72.9 litres.
ANSWER:B
Answer: (B) 72.9
Question: In a forest 150 deer were caught, tagged with electronic markers, then released. A week later, 50 deer were captured in the same forest. Of these 50 deer, it was found that 20 had been tagged with the electronic markers. If the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest?
(A) 150
(B) 6,000
(C) 1,250
(D) 1,500
(E) 2,500
Rationale: The percentage of tagged deer in the second sample = 20/50*100=40%.
So, 150 tagged deers comprise 10% of total # of deers --> total # of deers = 150*40 = 6,000.
Answer: B
Answer: (B) 6,000
Question: What is the sum of all even numbers from 1 to 801?
(A) 160400
(B) 281228
(C) 281199
(D) 122850
(E) 128111
Rationale: Explanation:
800/2 = 400
400 * 401 = 160400
Answer: A
Answer: (A) 160400
Question: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
(A) 480
(B) 500
(C) 300
(D) 550
(E) 400
Rationale: 1/x - 1/20 = -1/24
x = 120
120 * 4 = 480
ANSWER A
Answer: (A) 480
Question: Of the diplomats attending a summit conference, 25 speak French, 32 do not speak Russian, and 20% of the diplomats speak neither French nor Russian. If 10% of the diplomats speak both languages, then how many diplomats attended the conference?
(A) 72
(B) 70
(C) 108
(D) 120
(E) 150
Rationale: {Total} = {French} + {Russian} - {Both} + {Neither}
{Total} = 25 + ({Total} - 32) - (0.1*{Total}) + 0.2*{Total}
Solving gives {Total} = 70.
Answer: B.
Answer: (B) 70
Question: A bank pays interest to its customers on the last day of the year. The interest paid to a customer
is calculated as 10% of the average monthly balance maintained by the customer. John is a
customer at the bank. On the last day, when the interest was accumulated into his account, his
bank balance doubled to $5680. What is the average monthly balance maintained by John in his
account during the year?
(A) 2840
(B) 5680
(C) 6840
(D) 7540
(E) 28400
Rationale: Soln:-
Bank balance is doubled with accumulation of interest to 5680..
this means INTEREST is 5680/2=2840 for entire year..
although since interest is 10% of avg MONthly balance, it becomes 28400..
ANSWER:E
Answer: (E) 28400
Question: In a hostel there were 100 students. To accommodate some more students the average budget is decreased by rupees 10. But total expenditure increased by Rs.400. If the total expenditure of the hostel now 5400, find the number of student joined?
(A) 30
(B) 20
(C) 35
(D) 32
(E) 40
Rationale: Let average is x
100x + 400 = 5400
x = 50
let the number of student joined is y
(100+y)*(50-10)=5400
y = 35
Answer:D
Answer: (D) 32
Question: Which one of the given numbers is completely divisible by 45?
(A) 202860
(B) 165642
(C) 112330
(D) 112332
(E) None of these
Rationale: To be divisible by 45 number has to be divisible by both 9 and 5.
If number ends with zero or five then it'll be divisible by 5.
For 9, add all the digits and if addition of all the digits is divisible by 9 then number'll be divisible by 9.
So, 202860 => 2+0+2+8+6+0= 18 which is divisible of 9. Last digit is 0, means divisible by 5.
So, 202860
ANSWER:A
Answer: (A) 202860
Question: lexus car agency has 243 cars.he sold some cars at 9% profit and rest at 36% profit thus he gains 17% on the sale of all his cars.the no. of cars sold at 36% profit is?
(A) 36
(B) 37
(C) 72
(D) 39
(E) 40
Rationale: ratio of 36% profit cars to 9% profit cars = 8:19
so no. of cars sold at 36% profit = 243*8/27= 72 cars
ANSWER:C
Answer: (C) 72
Question: 39 persons can repair a road in 12 days, working 10 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
(A) 10
(B) 13
(C) 14
(D) 15
(E) 26
Rationale: Let the required number of days be x.
Less persons, More days (Indirect Proportion)
More working hours per day, Less days (Indirect Proportion)
Persons	30	:	39	:: 12 : x
Working hours/day	6	:	10
30 x 6 x x = 39 x 10 x 12
x =	(39 x 10 x 12)/(30 x 6)
x = 26.
ANSWER:E
Answer: (E) 26
Question: How many zeros does 65! end with?
(A) 20
(B) 15
(C) 25
(D) 30
(E) 32
Rationale: According to above 65! has 65/5+65/25=13+2=15 trailing zeros.
Answer: B.
Answer: (B) 15
Question: What is the units digit of (3^16)(4^13)?
(A) 2
(B) 4
(C) 6
(D) 7
(E) 8
Rationale: -> The ones place of (~3)^n repeats after 4 times like 39713.
The ones place of (~4)^n repeats after 2 times like 464.
Then, 3^16=3^4*4=3^0=1.,
4^13=4^2*6+1=4^1=~4
which is (3^16)(4^13) (3^0)(~4)=(~1)(~4)=~4. Therefore, the answer is B.
Answer: (B) 4
Question: A sum of money becomes 7/6 of itself in 5 years at a certain rate of simple interest. The rate per annum is?
(A) 20/7
(B) 20/3
(C) 23/6
(D) 10/3
(E) 10/7
Rationale: Let sum = x. Then, amount = 7x/6
S.I. = 7x/6 - x = x/6; Time = 5 years.
Rate = (100 * x) / (x * 6 * 5) = 10/3 %.
Answer:D
Answer: (D) 10/3
Question: A train 150 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train?
(A) 2 Sec
(B) 6 Sec
(C) 8 Sec
(D) 9 Sec
(E) 5 Sec
Rationale: D
9 Sec
Speed of the train relative to man = (68 - 8) kmph
= (60* 5/18) m/sec = (50/3)m/sec
Time taken by the train to cross the man
= Time taken by It to cover 150 m at 50/3 m / sec = 150 *3/ 50 sec = 9sec
Answer: (D) 9 Sec
Question: In an election between two candidates, 70% of the voters cast their votes, out of which 4% of the votes were declared invalid. A candidate got 6552000 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election.
(A) 13000000
(B) 12500
(C) 14000
(D) 12000
(E) None of these
Rationale: Explanation :
Solution: let the total number of votes enrolled be x. then, number of votes cast = 70% of x. valid votes = 96% of(70% of x). .'. 75% of(96% of (70% of of x)) = 6552000.
(75/100 * 96/100 * 70/100 * x) = 6552000.
=> x = (6552000*100*100*100)/(75*96*70) = 13000000
Answer : A
Answer: (A) 13000000
Question: Simplify: 0.3*0.3+0.3*0.3
(A) 0.52
(B) 0.42
(C) 0.18
(D) 0.64
(E) 0.46
Rationale: Given exp. = 0.3*0.3+(0.3*0.3) = 0.09+0.09 = 0.18
Answer is C.
Answer: (C) 0.18
Question: A starts business with Rs.3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B’s contribution in the Capital ?
(A) 24887
(B) 20778
(C) 23788
(D) 9000
(E) 2811
Rationale: Explanation:
A invested Rs.3500 for 12 months.
Let B joined with investment x. And he invested for 12 - 5 = 7 months.
So there profit ratio = (3500 × 12) : (7x) = 2 : 3
⇒ x = 9000
Answer: D
Answer: (D) 9000
Question: How many multiples of 2 are there between 0 and 100, exclusive ?
(A) 48
(B) 47
(C) 46
(D) 45
(E) 49
Rationale: 2 * 50 = 100
Total multiples = (50 -1) + 1 = 50
Exclude 0 and 100 = 50 - 1 = 49
Answer is E.
Answer: (E) 49
Question: If 2 cards are selected (with replacement) at random from the deck of 52 cards then what is the probability that one of the selected cards will be red and the other will be black?
A deck of cards has a total of 52 cards, consisting of 4 suits: spades (black), hearts (red), diamonds (red), and clubs (black). In each suit, there are 13 cards including 1 king, 1 queen, and 1 jack.
(A) 1/2
(B) 1/4
(C) 1/8
(D) 1/16
(E) 1/32
Rationale: P(1 red and 1 black) = 2(1/2*1/2) = 1/2
The answer is A.
Answer: (A) 1/2
Question: For the past n days, the average (arithmetic mean) daily production at a company was 30 units. If today's production of 90 units raises the average to 35 units per day, what is the value of n ?
(A) 30
(B) 18
(C) 10
(D) 9
(E) 3
Rationale: (average production for n days) * n = (total production for n days) --> 30n=(total production for n days);
(total production for n days) + 90 = (average production for n+1 days) * (n+1) --> 30n + 90 = 35 * (n+1) --> n=3.
Answer: E.
Answer: (E) 3
Question: The G.C.D of 1.08, 0.42 and 0.9 is
(A) 0.19
(B) 0.1
(C) 0.06
(D) 0.11
(E) 0.12
Rationale: Explanation:
Given numbers are 1.08 , 0.42 and 0.90
H.C.F of 108, 42 and 90 is 6 [because G.C.D is nothing but H.C.F]
therefore H.C.F of given numbers = 0.06
Answer: C)
Answer: (C) 0.06
Question: The difference between the squares of two consecutive odd integers
is a square<1000 whose root equals the combined sum of the digits
of the two integers. What is the sum of the digits X of the larger integer?
(A) X=2
(B) X=5
(C) X=8
(D) 10
(E) 11
Rationale: Really hard. But let's start with few concepts:
1. Square of an odd integer will be odd.
2. Difference of odd and odd will be even.
3. Any odd integer can be expressed as difference of two squares.
4. An even integer can be expressed as difference of two squares only if that even integer is a multiple of 4.
Assume two odd integers to be (2x-1) and (2x+1).
Difference of their squares = (2x+1)^2 - (2x-1)^2
= 4x^2 + 1 + 4x - (4x^2 + 1 - 4x)
= 4x^2 + 1 + 4x - 4x^2 - 1 + 4x
= 8x
Now root of 8x needs to be an integer such that it is equal to the sum of the digits of the two odd integers.
8 = 2^3, so x needs to be such that itcompletesa perfect square.
If we find x, we can find the value of 2x+1 (larger integer) and then sum of its digits.
Let's check the options, starting with c.
For sum to be 8, few possibilities are: 17, 35, 53, 71
If we take 17, the pair is 15 and 17, meaning x = 8.
8x = 64
root of 64 = 4 but 4 is not equal to 1+5+1+7.
Reject.
If we take 35, the pair is 33 and 35, meaning x = 17.
8x = 8*17
Reject since perfect square is not possible.
If we take 53, the pair is 51 and 53, meaning x = 26.
8x = 8*26
Reject since perfect square is not possible.
If we take 71, the pair is 69 and 71, meaning x = 35.
8x = 8*35
Reject since perfect square is not possible.
I tried each option and the possibilities and then got lost.
Then, it occurred to me that I was only checking 2-digit integers. What about 3-digits?
Starting with option a, only 2-digit odd integer whose sum is 2 is 101.
If we take 101, the pair is 99 and 101, meaning x = 50.
8x = 8*50 = 400
root of 400 = 20 which is indeed equal to 9+9+1+1.
Answer (A).
Answer: (A) X=2
Question: John and Karen begin running at opposite ends of a trail until they meet somewhere in between their starting points. They each run at their respective constant rates until John gets a cramp and stops. If Karen runs 50% faster than John, who is only able to cover 25% of the distance w before he stops, what percent longer would Karen have run than she would have had John been able to maintain his constant rate until they met.
(A) 25%
(B) 50%
(C) 75%
(D) 100%
(E) 200%
Rationale: John and Karen begin running at opposite ends of a trail until they meet somewhere in between their starting points. They each run at their respective constant rates until John gets a cramp and stops. If Karen runs 50% faster than John, who is only able to cover 25% of the distance w before he stops, what percent longer would Karen have run than she would have had John been able to maintain his constant rate until they met.
Lets say the distance of the trail is 100 miles. Lets also say that J rate = 10 miles/hour and K rate = 15 miles/hour.
If John stops at the 25% mark that means he travels 25 miles in 2.5 hours. It would take Karen t=d/r t=75/15 = 5 hours to reach john. If John had not stopped, their combined rate would 10+15 = 25 miles/hour meaning they would have met in 4 hours. Therefore, she ran one hour longer (25%) longer than she would have needed to if John ran for the entire time.
ANSWER: A) 25%
Answer: (A) 25%
Question: If 1+2+3+...+n=n (n+1), then 3 (1+3+5+....+79)=?
(A) 4500
(B) 4250
(C) 4350
(D) 4800
(E) 4150
Rationale: Explanation :
To solve this use the formula of AP,
Sn= (n/2)(a+l) ................(1)
To find n, use
=> Tn= a+(n-1)d
=> 79=1+(n-1)2
=> n=40
Use value of n in (1)
then,
Sn = (40/2)(1+79) = 1600
Ans:- 3(Sn) = 4800
Answer : D
Answer: (D) 4800
Question: Look at this series: 72, 76, 73, 77, 74, __, 75, ... What number should fill the blank?
(A) 70
(B) 71
(C) 75
(D) 78
(E) 79
Rationale: Explanation: This series alternates the addition of 4 with the subtraction of 3.
Answer: Option D
Answer: (D) 78
Question: Find large number from question the difference of two numbers is 1365.On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder?
(A) 1235
(B) 1455
(C) 1535
(D) 1615
(E) 1635
Rationale: Let the smaller number be x. Then larger number = (x + 1365).
x + 1365 = 6x + 15
5x = 1350
x = 270
Large number = 270+1365 = 1635
E
Answer: (E) 1635
Question: In a friendship gang Raja has 9 gang, in how many ways can he invite one or more of the gang to his house?
(A) 124
(B) 587
(C) 987
(D) 511
(E) 263
Rationale: Raja can select one or more than one of his 8 gang.
=> Required number of ways = 2^9 – 1= 511.
D
Answer: (D) 511
Question: The average height of 20 girls out of a class of 50 is 142 cm. and that of the remaining girls is 149 cm. The average height of the whole class is :
(A) 146.2 cms
(B) 146.5 cms
(C) 146.9 cms
(D) 142.2 cms
(E) 136.2 cms
Rationale: Explanation:
Average height of the whole class =(20×142+30×149/50)=146.2 cms
Answer A
Answer: (A) 146.2 cms
Question: A certain bag contains 60 balls — 22 white, 18 green, 5 yellow, 6 red, and 9 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?
(A) 0.09
(B) 0.15
(C) 0.54
(D) 0.75
(E) 0.91
Rationale: According to the stem the ball can be white, green or yellow, so the probability is (white + green + yellow)/(total) = (22 + 18 + 5)/60 = 45/60 = 0.75.
Answer: D.
Answer: (D) 0.75
Question: A boy runs 200 metres in 60 seconds. What is his speed ?
(A) 12 km/hr
(B) 24 km/hr
(C) 13 km/hr
(D) 14 km/hr
(E) 16 km/hr
Rationale: 200/60 * 18/5 = 12 km/hr
ANSWER:A
Answer: (A) 12 km/hr
Question: In a certain state, the ratio of registered Republicans to registered Democrats is 3 to 2, and every registered voter is either a Republican or a Democrat. If 75 percent of the Republicans and 15 percent of the Democrats are expected to vote for Candidate X, and everyone else is expected to vote for Candidate Y, by what percent is Candidate X expected to win the election?
(A) 2%
(B) 5%
(C) 8%
(D) 10%
(E) 15%
Rationale: Since we were expected to find a percentage figure - It thought that it might be easier to pick a 'smart number' to represent the total number of voters (republicans and democrats). Therefore, I picked 100 (as the total number of voters) and thus 3:2 ==60:40 represents the number ratio of Republicans:Democrats. If 75% of Republicans (which is (60*0.75) = 45) and 15% of Democrats (40*0.15 = 6) voted for candidate X, means that out of total of 100 voters; 51 (45 + 6) voters voted for candidate X and 49 voted for candidate Y. Thus we can infer that candidate X is expected to win the election by 2 (51-49) votes. Therefore candidate X is expected to win the election by (2/100) votes which is equivalent to 2%.
I think the answer is A.
Answer: (A) 2%
Question: A man spends 50% of his income on food, 15% on children education and 50% of the remaining on house rent. What percent of his income he is left with?
(A) 17.5%
(B) 16%
(C) 15.4%
(D) 12.6%
(E) 13.5%
Rationale: Let the total income be x
then, income left = (100-50)% of x - [100-(50+15)]% of x = 50% of 35% of x = 17.5% of x
Answer is A
Answer: (A) 17.5%
Question: There are 12 points in a given plane, no three of which are on the same line. If one of the points is represented as 'A', then how many triangles can be determined with the 12 points that contain the point A?
(A) 55
(B) 105
(C) 182
(D) 210
(E) 455
Rationale: Any 2 points out 11 points will create triangle with third point A, so the answer is 11C2=55.
Answer: A.
Answer: (A) 55
Question: The monthly income of Suman in the year 2009 was approximately what percentage of the monthly income of Jyothi in the year 2010?
(A) 22
(B) 27
(C) 26
(D) 29
(E) 21
Rationale: Answer:C
Answer: (C) 26
Question: Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
(A) 906
(B) 900
(C) 960
(D) 450
(E) 280
Rationale: Explanation:
Distance= speed * Time
60(x + 1) = 64x
X = 15
60 * 16 = 960 km
Answer: C
Answer: (C) 960
Question: The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle?
(A) 432
(B) 197
(C) 279
(D) 269
(E) 207
Rationale: 2(3x + x) = 96
l = 36 b = 12
lb = 36 * 12 = 432
Answer: A
Answer: (A) 432
Question: The letters B,G,I,N and R are rearranged to form the word 'Bring'. Find its probability.
(A) 1/120
(B) 1/235
(C) 1/24
(D) 1/76
(E) 1/53
Rationale: Explanation :
There are total 5 letters. The probability that B gets the first position is 1/5.
The probability that G is in the second position is 1/4.
Likewise, probability for I,N and G are 1/3, 1/2 and 1/1.
Hence, the required probability is:-
=> (1/5) x (1/4) x (1/3) x (1/2) x 1.
=> 1/120.
Answer : A
Answer: (A) 1/120
Question: What is the 25th digit to the right of the decimal point in the decimal form of 6/11?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Rationale: Explanation:
To determine the greatest possible number of members, first recognize that each member had to contribute the lowest amount given. Build an inequality for the individual contributions and the total amount collected, with n=the number of members in the club, and solve for n.
12n≤599
n≤49 11/12
Since n represents individual people it must be a whole number. Thus the greatest number of people is 49.
Answer: Option C
Answer: (C) 5
Question: On Thursday Mabel handled 90 transactions. Anthony handled 10% more transactions than Mabel, Cal handled 2/3rds of the transactions that Anthony handled, and Jade handled 19 more transactions than Cal. How much transactions did Jade handled?
(A) 80
(B) 81
(C) 82
(D) 83
(E) 85
Rationale: Solution:
Mabel handled 90 transactions
Anthony handled 10% more transactions than Mabel
Anthony = 90 + 90 × 10%
= 90 + 90 × 0.10
= 90 + 9
= 99
Cal handled 2/3rds of the transactions than Anthony handled
Cal = 2/3 × 99
= 66
Jade handled 19 more transactions than Cal.
Jade = 66 + 19
= 85
Jade handled = 85 transactions.
Answer: E
Answer: (E) 85
Question: Subtracting 10% from X is the same as multiplying X by what number?
(A) 70%
(B) 90%
(C) 50%
(D) 97%
(E) 10%
Rationale: X - (10/100) X = X * ?
? = 90%
Answer: B
Answer: (B) 90%
Question: In the simple subtraction problem below some single digits are replaced by letters .Fined the value of 7A+5D+6CD?
(A) 288
(B) 3799
(C) 277
(D) 278
(E) 7A+5D+6CD=240
Rationale: 15 - 7 = 8 So D = 8
10 + (C -1) - 8 = 4 So C = 3
10 + (5-1) - B = 7 So B = 7
(A-1) - 1 = 6 So A = 8
7A + 5D + 6CD = 56 + 40 + 144 = 240
Answer:E
Answer: (E) 7A+5D+6CD=240
Question: Caleb spends $74.50 on 50 hamburgers for the marching band. If single burgers cost $1.00 each and double burgers cost $1.50 each, how many double burgers did he buy?
(A) 5
(B) 10
(C) 20
(D) 40
(E) 49
Rationale: Solution -
Lets say, Single hamburgersxand Double hamburgersy
Given that,
x+y=50 and 1x+1.5y=74.50. By solving the equations y=49. ANS E.
Answer: (E) 49
Question: A girl has exactly 6 quarters, 6 dimes, and 10 nickels in her pocket. If she withdraws a number of these coins at random, how many coins would she have to withdraw to ensure that she has at least a 50 percent chance of withdrawing at least one quarter?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Rationale: When the probability of NOT drawing a quarter is 50% or less, then the probability of drawing a quarter is at least 50%.
P(not drawing a quarter with 2 coins) = 16/22 * 15/21 = 40/77 > 50%
P(not drawing a quarter with 3 coins) = 40/77 * 14/20 = 4/11 < 50%
The answer is C.
Answer: (C) 3
Question: In a ratio which is equal to 4:6, if the antecedent is 20, then the consequent is?
(A) 72
(B) 85
(C) 30
(D) 51
(E) 45
Rationale: We have 4/6 = 20/x
4x = 20*6
x = 30
consequent = 30
Answer is C
Answer: (C) 30
Question: A certain team has 14 members, including Joey. A three-member relay team will be selected as follows: one of the 14 members is to be chosen at random to run first, one of the remaining 13 members is to be chosen at random to run second, and one of the remaining 12 members is to be chosen at random to run third. What is the probability that Joey will be chosen to run second or third?
(A) 1/3
(B) 2/5
(C) 1/6
(D) 1/7
(E) 5/14
Rationale: Each member has an equal probability to run second (1/14) or third (1/14).
The probability that Joey runs second or third is 1/14 + 1/14 = 1/7
The answer is D.
Answer: (D) 1/7
Question: When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?
(A) Rs. 21,000
(B) Rs. 22,500
(C) Rs. 25,300
(D) Rs. 25,800
(E) Rs. 55,800
Rationale: Explanation :
Let the C.P. of the plot = Rs. x
Given that x - 15% of x = 18700.
=> (85/100) * x = 18700
=> x = 22000
So the cost price (C.P.) of the plot = Rs. 22000
S.P. of plot for 15% profit = 22000 + 15% of 22000 = 22000*(115/100) = 25300
Answer : C
Answer: (C) Rs. 25,300
Question: The ratio of a to b is 4 to 5, where a and b are positive. If x equals a increased by 25 percent of a, and m equals b decreased by 60 percent of b, what is the value of m/x?
(A) 1/3
(B) 2/5
(C) 3/4
(D) 3/2
(E) 2/3
Rationale: a/b = 4/5
m/x = (2/5)*5 / (5/4)*4 = 2/5
The answer is B.
Answer: (B) 2/5
Question: The sum of two consecutive integers is 61. Find the numbers.
(A) 17, 18
(B) 30,31
(C) 5, 6
(D) 1, 2
(E) 8, 9
Rationale: n + (n + 1) = 61
2n + 1 = 61
2n = 60
n = 30
Answer: B
Answer: (B) 30,31
Question: Average between 2 sets of numbers is closer to the set with more no's?
(A) 70
(B) 80
(C) 90
(D) 92
(E) 94
Rationale: If on a test three people answered 90% of the questions correctly and two people answered 80% correctly, then the average for the group is not 85% but rather 3×90+2×805=4305=86.3×90+2×805=4305=86.
Here, 90 has a weight of 3 => it occurs 3 times.
Whereas 80 has a weight of 2 => it occurs 2 times.
So the average is closer to 90 than to 80 as we have just calculated.
B
Answer: (B) 80
Question: If the wheel is 14 cm then the number of revolutions to cover a distance of 1408 cm is?
(A) A)16
(B) B)10
(C) C)14
(D) D)12
(E) E)11
Rationale: 2 * 22/7 * 14 * x = 1408 => x = 16
ANSWER:A
Answer: (A) A)16
Question: If it takes a machine 4⁄5 minute to produce one item, how many items will it produce in 2 hours?
(A) 1⁄3
(B) 150
(C) 80
(D) 120
(E) 180
Rationale: 1 item takes 4/5 min so it takes 120 min to produce x
4x/5=120 the x=150
Answer:B
Answer: (B) 150