mathewhe/aqua_rat huggingface dataset:
Question: A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?
(A) 32:46
(B) 32:42
(C) 32:45
(D) 32:40
(E) 32:49
Rationale: A : B
(8000*4)+(4000*8) : (9000*6)+(6000*6)
64000 : 90000
32 : 45
Answer: C
Answer: (C) 32:45
Question: A bookseller has two display windows. She plans to display 3 new fiction books in the left window, and 4 new non-fiction books in the right window. Assuming she can put the four fiction books in any order, and separately, the three non-fiction books in any order, how many total configurations will there be for the two display windows?
(A) 24
(B) 72
(C) 140
(D) 336
(E) 144
Rationale: The left window will have permutations of the 3 fiction books, so the number of possibilities for that window is
permutations = 3! = (3)(2)(1) = 6
The right window will have permutations of the 3 non-fiction books, so the number of possibilities for that window is
permutations = 4! = (4)(3)(2)(1) = 24
Any of the 24 displays of the left window could be combined with any of the 6 displays of the right window, so the total number of configurations is 24*6 = 144
Answer: E
Answer: (E) 144
Question: A company pays 20.5% dividend to its investors. If an investor buys Rs.50 shares and gets 25% on investment, at what price did the investor buy the shares?
(A) 25
(B) 66
(C) 18
(D) 19
(E) 41
Rationale: Explanation:
Dividend on 1 share = (20.5 * 50)/100 = Rs.10.25
Rs.25 is income on an investment of Rs.100
Rs.10.25 is income on an investment of Rs. (10.25 * 100)/25 = Rs.41
ANSWER: E
Answer: (E) 41
Question: A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?
(A) neither profit nor loss
(B) 3%
(C) 5%
(D) 4%
(E) 6%
Rationale: SP of first article = 1000
Profit = 20%
CP = (SP)*[100/(100+P)] = 5000/6 = 2500/3
SP of second article = 1000
Loss = 20%
CP = (SP)*[100/(100-L)] = 5000/4 = 1250
Total SP = 2000
Total CP = 2500/3 + 1250 = 6250/3
CP is more than SP, he makes a loss.
Loss = CP-SP = (6250/3)- 2000 = 250/3
Loss Percent = [(250/3)/(6250/3)]*100 =
0.04 * 100 = 4%
ANSWER:D
Answer: (D) 4%
Question: In an election contested by two parties, Party ADMK secured 24% of the total votes more than Party DMK. If party DMK got 266,000 votes, by how many votes did it lose the election?
(A) 34,000
(B) 56,000
(C) 164,000
(D) 168,000
(E) 200,000
Rationale: ADMK + DMK = 100 ---- (1)
ADMK - DMK = 24 ---- (2)
Solving (1) and (2) ADMK = 62% and DMK = 38%
38% of Total = 266000
Total = 700000
ADMK = 434000
Difference = 434000 - 266000 = 168000
Answer: D
Answer: (D) 168,000
Question: A box contains 100 balls, numbered from 1 to 100. If three balls are selected at random and with replacement from the box, what is the probability J that the sum of the three numbers on the balls selected from the box will be odd?
(A) 1/4
(B) 3/8
(C) 1/2
(D) 5/8
(E) 3/4
Rationale: The sum of the three numbers on the balls selected from the box to be odd one should select either three odd numbered balls (Odd+Odd+Odd=Odd) or two even numbered balls and one odd numbered ball (Even+Even+Odd=Odd);
P(OOO)=(1/2)^3;
P(EEO)=3*(1/2)^2*1/2=3/8 (you should multiply by 3 as the scenario of two even numbered balls and one odd numbered ball can occur in 3 different ways: EEO, EOE, or OEE);
So finally J=1/8+3/8=1/2.
Answer: C.
Answer: (C) 1/2
Question: Which one fractions having the highest value?
(A) A)23/77
(B) B)23/78
(C) C)23/84
(D) D)23/87
(E) E)46/150
Rationale: 23/30.
Now, all options have the same numerator 23. If numerator is same, the fraction with the highest value will be the one with the lowest denominator.
Answer (E).
Answer: (E) E)46/150
Question: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
(A) 25
(B) 27
(C) 29
(D) 32
(E) 34
Rationale: The total of seven numbers = 7X18 = 126
The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99
So, the middle number is (126 - 99 ) = 27
B
Answer: (B) 27
Question: If x is a positive number and 1/4 the square root of x is equal to 3x, then x =
(A) 1/16
(B) 12
(C) 1/12
(D) 144
(E) 1/144
Rationale: 1/4 of sqrt(x) = 3x, which means that sqrt(x) = 12x
or x = 144x^2 -> divide by x
1=144x
x=1/144
E.
Answer: (E) 1/144
Question: find value for x from given equation? x + 1 = -3
(A) 1
(B) x=-4
(C) -3
(D) -5
(E) 5
Rationale: 1 . Subtract 1 from both sides:
x + 1 - 1 = -3 - 1
2. Simplify both sides:
x = -4
B
Answer: (B) x=-4
Question: If 25 typists can type 60 letters in 20 minutes, then how many letters will 75 typists working at the same rate complete in 1 hour?
(A) 270
(B) 540
(C) 610
(D) 510
(E) 500
Rationale: No. of letters typing by 25 typists in 20 minutes = 60
No. of letters typing by 25 typists in 60 minutes = 60*3 = 180
No. of letters typing by 75 typists in 60 minutes = 180/25*75 = 540
Answer : B
Answer: (B) 540
Question: If (2/5)^n=(5/2)^2, what is the value of n?
(A) -2
(B) -1
(C) 0
(D) 1
(E) 2
Rationale: (2/5)^n = (5/2)^2
= (2/5)^-2
n = -2 (Answer = A)
Answer: (A) -2
Question: In one day, Juan sends Keith two times as many messages as he sends Laurence, and Laurence sends Missy 8 times as many messages as he receives from Juan. If Missy received 40 messages from Laurence, how many messages does Keith receive from Juan?
(A) 10
(B) 12
(C) 16
(D) 18
(E) 56
Rationale: Juan --> Laurence = x messages;
Juan --> Keith = 2x messages (Juan sends Keith two times as many messages as he sends Laurence);
Laurence --> Missy = 8x =40 (Laurence sends Missy 8 times as many messages as he receives from Juan).
8x =40 --> x = 5 --> 2x = 10.
Answer: A.
Answer: (A) 10
Question: Last year the range of the annual yield on equal amount of investments in 100 mutual funds was $10,000. If the annual yield this year for each of the 100 mutual funds has improved by 15 percent this year than it was last year, what is the range of the annual yield on mutual funds this year?
(A)  $12700
(B)  $13000
(C)  $23000
(D)  $11500
(E)  $33000
Rationale: let the lowest yield be x.
Therefore, highest yield is x +10000.
Now yield of each mutual fund investment is improved by 10%.
Therefore the yields will remain arranged in the same order as before.
or Lowest yield = 1.15x and Highest = 1.15 * (x+10000)
or Range = highest - lowest = 1.15* (x+10000) - 1.15x
= 11500, Hence, D
Answer: (D)  $11500
Question: Find the least positive integer divisible by each of the integers between 5 through 10 (including 10).
(A) 560
(B) 380
(C) 900
(D) 2560
(E) 2520
Rationale: The integer should be divisible by: 5, 6, 7,8,9,and 10. The least common multiple of these integers is LCM=420.
Answer: 5*3^2*7*2^3
The answer is E)
Answer: (E) 2520
Question: How many diagonals does a 63-sided convex polygon have?
(A) 3780
(B) 1890
(C) 3843
(D) 3906
(E) 1953
Rationale: Explanatory Answer
The number of diagonals of an n-sided convex polygon = n(n−3)/2
This polygon has 63 sides. Hence, n = 63.
Therefore, number of diagonals = 63∗60 /2 = 1890.
Choice B
Answer: (B) 1890
Question: Country X taxes each of its citizens an amount equal to 13 percent of the first $40,000 of income, plus 20 percent of all income in excess of $40,000. If a citizen of Country X is taxed a total of $8,000, what is her income?
(A) $54,000
(B) $56,000
(C) $64,000
(D) $66,667
(E) $80,000
Rationale: Equation is correct, so math must be a problem.
0.13*40,000+0.2*(x-40,000)=8,000 --> 5,200+0.2x-8,000=8,000 --> 0.2x=10,800 --> x=54,000.
Answer: A.
Answer: (A) $54,000
Question: A student worked for 20 days. For each of the amounts shown in the first row of the table, the second row gives the number of days that the student earned that amount. What is the amount of money that the student earned per day for the 5th day?
Amounts earned per day : $96 $84 $80 $70 $48
Number of days : 4 7 4 3 2
(A) (1) $96
(B) (2) $84
(C) (3) $80
(D) (4) $70
(E) (5) $48
Rationale: 4+7+4+3+2 = 20
The series is as follows. Arrange the terms in increasing order of amounts earned and cumulatively add up the number of days of each amount.
1st to 2nd term = 48 (2 days)
3rd to 5th term = 70 (3 days)
Pick D
Answer: (D) (4) $70
Question: A sum of money is put out at compound interest for 2 years at 20%. It would earn Rs.482 more if the interest were paid half-yearly. Calculate the sum.
(A) 2878
(B) 279
(C) 279
(D) 482
(E) 661
Rationale: P(11/10)4 - P(6/5)2 = 482
P = 2000
Answer: D
Answer: (D) 482
Question: A, B, C, D, E, F, G, and H are all integers, listed in order of increasing size. When these numbers are arranged on a number line, the distance between any two consecutive numbers is constant. If G and H are equal to 5^12 and 5^11, respectively, what is the value of A?
(A) -24(5^12)
(B) -23(5^12)
(C) -24(5^6)
(D) 23(5^12)
(E) 24(5^12)
Rationale: Ans : D
Assume that the numbers appear as shown below on the number line
A-----B-----C-----D-----E-----F-----G-----H
(5^12) (5^13)
As the values for G and H are given , we can calculate the difference between any two terms of the series .
Common Difference ,d = (5^13) - (5^12)
= (5^12) *[ 5-1 ]
= (5^12)*(4)
Also F + d = G as the terms are in equidistant and in increasing order.
So F + (5^12)*(4) = (5^12).
That is , F = (5^12) - (5^12)*(4)
= (5^12)[ 1-4]
= (5^12) (-3)
Similarly , E = F - d
= (5^12)[-3-4]
= (5^12)*(-7)
You can see a -4 getting added to the non-exponent part of the values . That is , according to the pattern , D SHOULD BE (5^12)*(-7-4)= (5^12)*(-11)
Following this pattern , A = (5^12)*(23)
D
Answer: (D) 23(5^12)
Question: To be considered grade AB, an egg must weigh between 75 and 90 grams, including the shell. Shells of grade AB eggs weigh between 3 and 5 grams. What is the smallest possible mass, in grams, of a 12-egg omelet, assuming that only grade AB eggs are used, the shells are all discarded, and no mass is lost in the cooking process?
(A) 800
(B) 840
(C) 864
(D) 900
(E) 1,080
Rationale: We're asked for the smallest possible mass, so what could the lowest mass be per egg AB? A 75 gram egg, with a 5 gram shell, or 70 grams ofcookingmass. 12 x 70 = 840, so the answer is B.
Answer: (B) 840
Question: In how many different ways can 3 identical green shirts and 3 identical red shirts be distributed among 6 children such that each child receives a shirt?
(A) 20
(B) 40
(C) 216
(D) 720
(E) 729
Rationale: GGG RRR
Therefore total number of ways is
6! but there are two groups of 3 identical things.
Therefore total number of "different" ways is
6!/ (3!) (3!) = 20 ANS:A
Answer: (A) 20
Question: Find large number from below question The difference of two numbers is 1360. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
(A) 1254
(B) 1376
(C) 1456
(D) 1555
(E) 1629
Rationale: Let the smaller number be x. Then larger number = (x + 1360).
x + 1360 = 6x + 15
5x = 1345
x = 269
Large number = 269+1360 = 1629
E
Answer: (E) 1629
Question: A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?
(A) 2 cm
(B) 7 cm
(C) 1 cm
(D) 4 cm
(E) 9 cm
Rationale: Explanation:
Volume of the wire (in Cylindrical shape) is equal to the volume of the sphere.
π(16)2 * h = (4/3)π (12)3 => h = 9 cm
Answer: Option E
Answer: (E) 9 cm
Question: Find the unit's digit in 264 ^102+264^103
(A) zero 0
(B) 1
(C) 2
(D) 4
(E) 5
Rationale: Required unit's digit = unit's digit in 4102+4103.4102+4103.
Now, 4242 gives unit digit 6.
⇒ 41024102 gives unit digit 6.
⇒ 41034103 gives unit digit of the product 6×46×4 i.e., 4.
Hence, unit's digit in 264102+264103264102+264103
= unit's digit in (6+4)=0
A
Answer: (A) zero 0
Question: Amit and Sumit started a business with initial investments in the ratio 2 : 3, after some months Sumit withdrawn his investment, and their share in the annual profits were in the ratio 8 : 7. Then how long Sumit was in the business ?
(A) 6 months
(B) 8 months
(C) 9 months
(D) 5 months
(E) 7 months
Rationale: Let Sumit in the business for ‘a’ months.
Investment Ratio Amit to Sumith = 2 : 3.
Profit sharing ratio = 8 : 7.
Amit is in the business for 12 months.
Then Sumit in the business for
(2×12) / (3×a) = 8 / 7
=> 24a = 168 or
a = 168 / 24 = 7
or 7 months
Option E
Answer: (E) 7 months
Question: A boat can move upstream at 15 kmph and downstream at 35 kmph, then the speed of the current is?
(A) 5
(B) 6
(C) 7
(D) 10
(E) 32
Rationale: US = 15
DS = 35
M = (35 - 15)/2 = 10
Answer: D
Answer: (D) 10
Question: There are 12 magazines lying on a table; 6 are fashion magazines and the other 6 are sports magzines. If 5 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the fashion magazine will be selected?
(A) 521/525
(B) 522/525
(C) 520/525
(D) 519/525
(E) 517/525
Rationale: 1- 6c5/10c5 =1-4/525=521/525
Answer : A
Answer: (A) 521/525
Question: If {g} denote the remainder when 3g is divided by 2 then which of the following is equal to 1 for all positive integers g?
I. {2g+1}
II. {2g}+1
III. 2{g+1}
(A) I only
(B) II only
(C) I and II
(D) III only
(E) II and III
Rationale: C - I and II
3g/2 = 0 or 1
I just substituted 1 in the equations and solved.
Answer: (C) I and II
Question: One pipe can fill a pool three times faster than a second pipe. When both pipes are opened, they fill the pool in seven hours. How long would it take to fill the pool if only the slower pipe is used?
(A) 10 hr
(B) 12 hr
(C) 15 hr
(D) 20 hr
(E) 28 hr
Rationale: fast pipe + slow pipe = together
One pipe fills the pool three times faster than the other pipe so,
hourly fill rates:
1/x + 1/3x = 1/7
Let x = number of hours it would take the fast pipe to fill the pool thus,
x=9.3 hours
9.3*3 = 28 hours
Answer: E
Answer: (E) 28 hr
Question: If the price of an article went up by 25%, then by what percent should it be brought down to bring it back to its original price?
(A) 20%
(B) 2/8%
(C) 2/1%
(D) 1/3%
(E) 2/7%
Rationale: Let the price of the article be Rs. 100.
25% of 100 = 25.
New price = 100 + 25 = Rs. 125
Required percentage = (125 - 100)/125 * 100
= 25/125 * 100= 20%.
Answer:A
Answer: (A) 20%
Question: A factory has 500 workers, 16 percent of whom are women. If 50 additional workers are to be hired and all of the present workers remain, how many of the additional workers must be women in order to raise the percent of women employees to 20 percent?
(A)  3
(B)  10
(C)  25
(D)  30
(E)  35
Rationale: Currently the factory has 0.16*500=80 women.
After 50 additional workers are hired, there will be total of 550 workers and we need 0.2*550=110 of them to be women, so we need 110-80=30 more women.
Answer: D.
Answer: (D)  30
Question: The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 100 sq cm. Find the area of the square?
(A) 482
(B) Cannot be determined
(C) 260
(D) 120
(E) 632
Rationale: Let the side of the square be a cm. Let the length and the breadth of the rectangle be l cm and b cm respectively.
4a = 2(l + b)
2a = l + b
l . b = 480
We cannot find ( l + b) only with the help of l . b. Therefore a cannot be found .
Area of the square cannot be found.
Answer: B
Answer: (B) Cannot be determined
Question: Two trains 119 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
(A) 7.19
(B) 7.17
(C) 7.2
(D) 7.15
(E) 7.05
Rationale: T = (119 + 165)/ (80 + 65) * 18/5
T = 7.05
Answer:E
Answer: (E) 7.05
Question: A meeting has to be conducted with 5 managers. Find the number of ways in which the managers may be selected from among 8 managers, if there are 2 managers who refuse to attend the meeting together.
(A) 36
(B) 40
(C) 45
(D) 51
(E) 56
Rationale: The total number of ways to choose 5 managers is 8C5 = 56
We need to subtract the number of groups which include the two managers, which is 6C3 = 20.
56 - 20 = 36
The answer is A.
Answer: (A) 36
Question: A man buys 52 pens at marked price of 46 pens from a whole seller. If he sells these pens giving a discount of 1% , what is the profit percent?
(A) 7.6 %
(B) 7.7 %
(C) 11.32 %
(D) 11.91 %
(E) 7.8 %
Rationale: Explanation:
Let Marked price be Re. 1 each
C.P. of 52 pens = Rs. 46
S.P. of 52 pens = 99% of Rs. 52 = Rs. 51.48
Profit % = (Profit /C.P.) x 100
Profit% = (5.48/46) x 100 = 11.91 %
ANSWER: D
Answer: (D) 11.91 %
Question: The total cost of 100 paper plates and 200 paper cups is $7.50 At the same rates what is the total cost of 20 of the plates and 40 of the cups?
(A) $.90
(B) $1.00
(C) $1.20
(D) $1.50
(E) $1.60
Rationale: U dont need to go through all this
What u have with u is
100 P + 200 C = $7.50
Just divide the equation by 5 and you will get what u are looking for
20P + 40 C = $1.50
Therefore OA is D
Answer: (D) $1.50
Question: Felix earned 60% more per month than Oscar. If Felix’s salary is decreased 10% and Oscar’s salary is increased by 10%, then Felix would be earning what percent more than Oscar?
(A) 20%
(B) 9.09%
(C) 34%
(D) 30.90%
(E) It cannot be determined from the information given.
Rationale: This Q is all about taking the correct BASE for taking %s..
the very first step requires taking some numbers for each..
ONE should be 100...
it is easy to take 40 and 100 here..
but the BASE is 100 here, so the salary can be 100 and 160..
100 increases 10% =110..
160 decreases 10%=144..
so the increase is 34..
again the BASE is 110, so answer 34/110 * 100= 30.90% D
without calculations,
answer cannot be equal to or greater than 34, as 34 is on 110..
so D is the only one left
Answer: (D) 30.90%
Question: 2 pipes can separately fill a tank in 20hrs and 30hrs respectively. Both the pipes are opened tofill the tank, a leak develops in the tank through which one-third of water supplied by both the pipes goes out. What is the total time taken to fill the tank?
(A) 12 hrs
(B) 14 hrs
(C) 16 hrs
(D) 18 hrs
(E) 20 hrs
Rationale: 1/20 + 1/30 = 1/12
1 + 1/3 = 4/3
1 --- 12
4/3 --- ?
4/3 * 12 = 16 hrs
C
Answer: (C) 16 hrs
Question: Find the 25% of Rs. 600.
(A) s. 150
(B) s. 70
(C) s. 100
(D) s. 80
(E) s. 60
Rationale: Explanation :
25% of 600
=> 25/100 *600 = Rs. 150
Answer : A
Answer: (A) s. 150
Question: Ramu & Sangeetha went for biological analysis to an island which is 34km from their place. They traveled in a boat which went at a speed of 2m/s. when they are in half a distance in the boat Sangeetha noted there are 7 leg & 8 leg octopuses under the water. Ramu counted the total number of legs of octopuses and got 54. Sangeetha instantly said I know how many 7 legged octopuses are there under the water. They both reached the island after 20 min they left. How many seven legged octopuses does Sangeetha calculate?
(A) 2
(B) 5
(C) 6
(D) 7
(E) 8
Rationale: multiples of 7(legs) multiples of 8(legs)
7 8
14 16
21 24
28 32
Here only 14 legs(multiple of 7)+32 legs(multiple of 8)=54 legs
So the question is to find the number of 7 legged Octopus.
Then 14/7=2.
ANSWER:A
Answer: (A) 2
Question: How many positive integers E between 200 and 300 (both inclusive) are not divisible by 2, 3 or 5?
(A) 3
(B) 16
(C) 75
(D) 24
(E) 26
Rationale: 1) I figured there are 101 integers (300 - 200 + 1 = 101). Since the set begins with an even and ends with an even, there are 51 evens.
2) Question says integers are not divisible by 2, leaving all of the odds (101 - 51 = 50 integers).
3) Question says integers are not divisible by 5, removing all the integers ending in 5 (already took out those ending in 0). Take out 10 integers (2?5, ? = 0 to 9), leaving us with 40 integers.
4) Now the painstaking part. We have to remove the remaining numbers that are multiples of 3. Those are 201, 207, 213, 219, 231, 237, 243, 249, 261, 267, 273, 279, 291, and 297...a total of 14 numbers. 26 numbers left!
6) Answer choice E .
Answer: (E) 26
Question: Find the simple interest on Rs. 3000 at 6 1/4% per year for the period from 4th Feb., 2005 to 18th April, 2005.
(A) 36.5
(B) 33.5
(C) 35.5
(D) 37.5
(E) None of them
Rationale: Time = (24+31+18)days = 73 days = 73/365 years = 1/5 years.
P = Rs.3000 and R = 6 ¼ %p.a = 25/4%p.a
Therefore, Simple Interest. = Rs.(3,000*(25/4)*(1/5)*(1/100))= Rs.37.50.
Answer is D.
Answer: (D) 37.5
Question: A company organized a recruiting process for 3 vacant positions of assistant manager for its product launches. The company's efforts yielded 9 eligible candidates. How many sets of 3 candidates can the company choose to fill the 3 assistant manager positions?
(A)  84
(B)  94
(C)  545
(D)  315
(E)  220
Rationale: 9*8*7/3*2*1 = 84
A
Answer: (A)  84
Question: r, b, and c are positive integers. If r, b, and c are assembled into the six-digit number rbcrbc, which one of the following must be a factor of rbcrbc?
(A)  16
(B)  13
(C)  5
(D)  3
(E)  none of the above
Rationale: Plug in some values and check -
rbcrbc = 123123
Not divisible by 16 and 5
let rbcrbc = 125125
Not divisible by 3
Only option (B) and (E) is left in both the cases...
Check once more to marke (B) as correct answer
let rbcrbc = 135135
Again divisible by 13
So, mark answer as (B) 13
Answer: (B)  13
Question: What are the maximum value and minimum values of f(x) = |2sin(2x - pi/3) - 5| + 3
(A) max 8-min 2
(B) max 9-min 1
(C) max 10-min 6
(D) max 11-min 5
(E) max 12-min 3
Rationale: -1 <= sin(2x - pi/3) <= 1 : range of a sine function
-2 <= 2sin(2x - pi/3) <= 2 : multiply all terms of the double inequality by 2
-2 - 5 <= 2sin(2x - pi/3) - 5 <= 2 - 5 : add -5 to all terms of the inequality.
-7 <= 2sin(2x - pi/3) - 5 <= -3
3 <= |2sin(2x - pi/3) - 5| <= 7 : change the above using absolute value.
3 + 3 <= |2sin(2x - pi/3) - 5| + 3 <= 7 + 3 : add 3 to all terms of the double inequality.
The maximum value of f(x) is equal to 10 and the minimum value of f(x) is equal to 6.
correct answer C
Answer: (C) max 10-min 6
Question: The interest on Rs. 750 for 2 years is the same as the true discount on Rs. 960 due 2 years hence. If the rate of interest is the same in both cases, it is:
(A) 18%
(B) 14%
(C) 94%
(D) 11%
(E) 54%
Rationale: S.I. on Rs. 750 = T.D. on Rs. 960.
This means P.W. of Rs. 960 due 2 years hence is Rs. 750.
T.D. = Rs. (960 - 750) = Rs. 210.
Thus, S.I. on R.s 750 for 2 years is Rs. 210.
Rate = 100 x 210	%	= 14%
750 x 2
Answer: B
Answer: (B) 14%
Question: A man purchased a grinder for Rs. 320 and sold it at a profit of 10%. The selling price is:
(A) Rs. 736
(B) Rs. 352
(C) Rs. 684
(D) None of these
(E) Cannot be determined
Rationale: s.p.=110/100 × 320 = 352
Answer: B
Answer: (B) Rs. 352
Question: Stacy was 5 days late returning items to the library. Stacy had checked out 40 books, 2 movies, and 3 magazines. Books are fined $0.25 per day, movies are fined $3.00 per day, and magazines are fined $0.50 per day. What is the average fine per item per day Stacy paid?
(A) $0.25
(B) $0.30
(C) $0.35
(D) $0.40
(E) none of the above
Rationale: Explanation:
40 2 3
$0.25 $3.00 $0.50
$10.00 + $6.00 + $1.50 = $17.50/45 = $0.39
E
Answer: (E) none of the above
Question: A hare and a jackal are running a race. Three leaps of the hare are equal to four leaps of the jackal. For every three leaps of the hare, the jackal takes five leaps. Find the ratio of the speed of the hare to the speed of the jackal.
(A) 6:7
(B) 4:5
(C) 5:8
(D) 25:64
(E) 3:5
Rationale: The hare takes 3 leaps and the jackal takes 5 leaps.
1 hare leap = 4/3 jackal leaps
Thus the hare's 3 leaps = 3*(4/3) = 4 jackal leaps.
The ratio of their speeds is 4:5.
The answer is B.
Answer: (B) 4:5
Question: The length of a rectangular floor is more than its breadth by 300%. If Rs. 423 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?
(A) 24
(B) 25
(C) 26.6m
(D) 26
(E) 27
Rationale: Let the length and the breadth of the floor be l m and b m respectively.
l = b + 400% of b = l + 4b = 5b
Area of the floor = 423/3 = 141 sq m
l b = 141 i.e., l * l/5 = 141
l2 = 705 => l = 26.6m.
ANSWER:C
Answer: (C) 26.6m
Question: What will be the output of the following code statements?
Integer a = 20, b = 30, c = 8 print (a × b / c) – c
(A) 65
(B) 67
(C) 70
(D) 26
(E) 81
Rationale: Explanation:
Apply BODMAS rule
20 × 30 = 600/8-8 =75 –8 =67
Answer:B
Answer: (B) 67