mathewhe/aqua_rat huggingface dataset:
Question: If taxi fares were $10.00 for the first 1/5 mile and $1.00 for each 1/5 mile there after, then the taxi fare for a 10-mile ride was
(A) $55.10
(B) $59.20
(C) $59.40
(D) $59.00
(E) $55.00
Rationale: In 10 miles , initial 1/5 mile charge is $10
rest of the distance = 10 - (1/5) = 49/5
rest of the distance charge = 49(1.00) = $49.00 (as the charge is 1.00 for every 1/5 mile)
=> total charge for 4 miles = 10+49.00 = 59.00
Answer is D
Answer: (D) $59.00
Question: The positive two-digit integers s and t have the same digits, but in reverse order. Which of the following must be a factor of s + t?
(A) 6
(B) 9
(C) 44
(D) 12
(E) 14
Rationale: Remember: When you take the difference between the two, it will always be 9. e.g 23-32=9, 89-98=9
and when you add both integers, the sum will always be a multiple of 11 e.g 23+32=55, 89+98= 187
44 is multiple of 11
Answer : C
Answer: (C) 44
Question: Find the fraction which has the same ratio to 2/5 that 3/8 has to 1/5
(A) 1/15
(B) 3/4
(C) 5/8
(D) 9/6
(E) 8/7
Rationale: P : 2/5 = 3/8 : 1/5
As the product of the means is equal to the product of the extremes.
P*1/5 = 2/5 * 3/8
P*1/5 = 6/40
P = 3/4 => P = 3/4
ANSWER:B
Answer: (B) 3/4
Question: Out of 9 persons, 8 persons spent Rs. 30 each for their meals. The ninth one spent Rs. 20 more than the average expenditure of all the nine. The total money spent by all of them was ?
(A) Rs.292.50
(B) Rs.292.56
(C) Rs.292.12
(D) Rs.292.27
(E) Rs.292.11
Rationale: Let the average expenditure be Rs. x Then,
Total money spent = 9x = Rs. (9 x 32.5O) = Rs 292. 50
Answer: A
Answer: (A) Rs.292.50
Question: How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters ?
(A) 5^10
(B) 5^19
(C) 5^18
(D) 5^12
(E) 5^11
Rationale: Explanation:
Each of the 10 letters can be posted in any of the 5 boxes.
So, the first letter has 5 options, so does the second letter and so on and so forth for all of the 10 letters.
i.e. 5*5*5*….*5 (upto 10 times)
= 5 ^ 10.
Answer: A) 5^10
Answer: (A) 5^10
Question: A trader bought a car at 5% discount on its original price. He sold it at a 60% increase on the price he bought it. What percent of profit did he make on the original price?
(A) 17%
(B) 62%
(C) 52%
(D) 19%
(E) 22%
Rationale: Original price = 100
CP = 95
S = 95*(160/100) = 152
100 - 152= 52%
Answer: C
Answer: (C) 52%
Question: A man is 24 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?
(A) 23 Years
(B) 21 Years
(C) 20 Years
(D) 25 Years
(E) 22 Years
Rationale: Let present age of the son =x=x years
Then, present age the man =(x+24)=(x+24) years
Given that, in 22 years, man's age will be twice the age of his son
⇒(x+24)+2=2(x+2)⇒x=22
ANSWER:E
Answer: (E) 22 Years
Question: When p is divided by 9, the remainder is 5. All of the following are possible values of p, except for which of the following?
(A) 14
(B) 32
(C) 50
(D) 58
(E) 68
Rationale: Four of these numbers can be expressed in the form of 9x+5, where x can be 0,1,2,3,4....
However, 58 = 9(6) + 4
The answer is D.
Answer: (D) 58
Question: A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 3 days. Find in how many days can C alone do it?
(A) 8 4/7 days
(B) 20 days
(C) 16 days
(D) 19 days
(E) 36 days
Rationale: C = 1/3 - 1/4 - 1/5 = 7/60
=> 60/7 = 8 4/7 days
Answer:A
Answer: (A) 8 4/7 days
Question: if each of its sides of a rectangle is increased by 25%, what is the percentage increase in the area of the rectangle, ?
(A) 59.25%
(B) 58.25%
(C) 56.25%
(D) 26.25%
(E) 51.25%
Rationale: Assume original length = 100m by 50m
original area = 100*50= 5000
25% increase on each side
l = 100 + 25 = 125
w = 50 + 12.5 = 62.5
new area = 125*62.5= 7812.5
increase in area = 7812.5 - 5000 = 2812.5
%increase =56.25%
Answer C
Answer: (C) 56.25%
Question: The Tens digit of a two digit number is 4 times of its unit digit and the sum of the digits be 10. Then the first number is
(A) 67
(B) 73
(C) 53
(D) 82
(E) 89
Rationale: Let the number be 10x + y
According to the question
x = 4y
x + y = 10
4y + y = 10
or y = 2
and x = 8
So required number is = 10*8 + 2 = 82
answer :D
Answer: (D) 82
Question: After MM students took a test, there was a total of 64% of correct answers. If the test contains 50 questions, what is the least number of questions that the next student have to get right to bring the total of correct answers to 70% ?
(A) 3M + 20
(B) 3M + 35
(C) 4M + 15
(D) 4M + 20
(E) 4M + 45
Rationale: Denote xx as the required number of correct answers. xx must satisfy the equation 0.64∗M∗50+x/50M+50=7/10 or 350M+350=320M+10x or x=3M+35
Answer: B
Answer: (B) 3M + 35
Question: A necklace is made by stringing N individual beads together in the repeating pattern yellow bead, green bead, white bead, red bead, and blue bead. If the necklace design begins with a yellow bead and ends with a white bead, then N could equal
(A) 65
(B) 75
(C) 85
(D) 68
(E) 95
Rationale: Recognize that we are going to have to look for an answer thats a multiple of 5, plus 3.
Mutliple of 5 because there are 5 beads in the pattern, and plus 3 because the bead ends on white, which is 3 into the pattern.
I just went through all the answer choices, and only E fits. 5x13 = 65, and 65+3=68
Answer : D
Answer: (D) 68
Question: 222, 224, 228, 234, 242, (....)
(A) 260
(B) 258
(C) 252
(D) 250
(E) 244
Rationale: Explanation :
The pattern is 2, 4, 6, 8, 10, etc.
Hence 10=252
Answer: C
Answer: (C) 252
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 46, the dividend is?
(A) 5320
(B) 5328
(C) 5336
(D) 5340
(E) 5342
Rationale: Divisor = (5 * 46) = 230
= 10 * Quotient = Divisor
=> Quotient = 230/10 = 23
Dividend = (Divisor * Quotient) + Remainder
Dividend = (230 * 23) + 46 = 5336.
C)
Answer: (C) 5336
Question: A basketball team plays games only against the other five teams in its league and always in the following order: Croton, Darby, Englewood, Fiennes, and Garvin. If the team’s final game of the season is against Fiennes, which of the following could be the number of games in the team’s schedule?
(A) 18
(B) 24
(C) 56
(D) 72
(E) 81
Rationale: Let "A" as the initial team which have to play against with Croton (C), Darby (D), Englewood (E), Fiennes (F), and Garvin (G);
According to the question, we have a column as below
Game 1st 2nd 3rd 4th 5th (Or final game)
A A A A A
C D E G F (fixed)
There are 4! ways to arrange a game with A - or 24 ways. -----> B is a correct answer.
Answer: (B) 24
Question: The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/2 of the area of the field. What is the length of the field?
(A) 13
(B) 16
(C) 34
(D) 43
(E) 42
Rationale: Explanation:
A/2 = 8 * 8 => A = 8 * 8 * 2
x * 2x = 8 * 8 * 2
x = 8 => 2x = 16
Answer: Option B
Answer: (B) 16
Question: A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
(A) 299
(B) 377
(C) 328
(D) 860
(E) 453
Rationale: CP = SP + 1CP = SP - g
800 + x = 980 - 2x
3x = 180 => x = 60
CP = 800 + 60
= 860
Answer: D
Answer: (D) 860
Question: Set #1 = {A, B, O, D, E}
Set #2 = {K, L, M, N, U, P}
There are these two sets of letters, and you are going to pick exactly one letter from each set. What is the probability of picking at least one vowel?
(A) 1/6
(B) 1/4
(C) 1/2
(D) 1/3
(E) 2/3
Rationale: At least questions are best solved by taking the opposite scenario and subtracting it from 1. Probability of choosing no vowel from set 1 is 2/5 and set 2 is 5/6. Multiply these to get 1/3. Therefore, probability of picking at least one vowel = 1-1/3=2/3.
ANSWER =E
Answer: (E) 2/3
Question: Keats Library purchases a number of new books, all in the category of biography, and the library does not acquire any other books. With the addition of the new biographies, the biography collection of the library amounts to 35% of the total number of books in the library. If prior to the purchase, only 20% of the books in Keats Library were biographies, by what percent has the number of biographies in the library increased?
(A) 45%
(B) 65%
(C) 85%
(D) 115%
(E) 125%
Rationale: Let x be the number of new biographies added to the library.
Let b be the original number of biographies, so the original number of books was 5b.
0.35(5b+x) = b+x
0.75b = 0.65x
x = 1.15b
The answer is D.
Answer: (D) 115%
Question: A train which has 420 m long, is running 45 kmph. In what time will it cross a person moving at 9 kmph in same direction ?
(A) 56 sec
(B) 42 sec
(C) 36 sec
(D) 29 sec.
(E) 19 sec.
Rationale: Time taken to cross a moving person = length of train/ relative speed
Time taken = 420/((45-9) (5/18)
= 420/ 36*(5/18)
= 420/10
= 42 sec
ANSWER:B
Answer: (B) 42 sec
Question: Husband and wife having average age of 26 years at their marriage time. After four years they have a two year old child. The average age of the family now
(A) 20.66 years
(B) 23 years
(C) 28.5 years
(D) 29.3 years
(E) None of these
Rationale: Explanation :
Sum of the present ages on husband, wife and child =(26x2+4x2)+2
= 62 years
Required average
= (62/3)
= 20.66 years.
Answer : A
Answer: (A) 20.66 years
Question: Adding two non multiples of x always results in a multiple of x; which of the following must be the value of x ?
(A) two
(B) three
(C) five
(D) ten
(E) hundred
Rationale: Take simple numbers to understand the concept before hitting it...
Say x = 2
The non multiple can be 1 (Definitely 1 is not a multiple of 2)
Now add two multiples of 2 , ie 1 + 1 = 2 ( Resulting in the number x )
[b]Thus the value of x can be 2 ad the non multiple can be 1 , satisfying the conditions stated in the question stem
ANSWER:B
Answer: (B) three
Question: Nitin’s salary is reduced by 10% and then reduced salary is increased by 10%. Find ,how many percentage his present salary is less as compared to his previous salary?
(A) Nothing
(B) 10%
(C) 1%
(D) 5%
(E) 15%
Rationale: 10*10
-------- = 1%
100
ANSWER:C
Answer: (C) 1%
Question: The positive integers m and n leave remainders of 2 and 3, respectively, when divided by 6. m > n.
What is the remainder when m – n is divided by 6?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Rationale: m is 2 more than a multiple of 6;
n is 3 more than a multiple of 6.
m - n will be 1 less than a multiple of 6 (5, 11, 17, ...), therefore m - n will yield a remainder of 5 when divided by 6.
Answer: E.
Answer: (E) 5
Question: Two years ago, Ram put $500 into a savings account. At the end of the first year, his account had accrued $100 in interest bringing his total balance to $600. The next year, his account balance increased by 10%. At the end of the two years, by what percent has Ram's account balance increased from his initial deposit of $500 ?
(A) 19%
(B) 28%
(C) 30%
(D) 32%
(E) 25%
Rationale: investment 500 dollars
1 st year total gained = 100
total amount end of first year = 600
second year account increased by 10 % = 600*0.1 = 60
therefore total amount by second year end = 660
so total percentage increase in money = (660-500)*100/500 = 32 %
Correct Answer D=32%
Answer: (D) 32%
Question: How many positive integers less than 100 are neither multiples of 2 or 3?
(A) 30
(B) 31
(C) 32
(D) 33
(E) 34
Rationale: 1) multiples of 2 till 100 = 100/2 = 50
2) multiples of 3 till 100 = 100/3 = 33.33= 33
add the two 50+33=83 ;
subtract common terms that are multiple of both 2 and 3..
LCM of 2 and 3 = 6
Multiples of 6 till 100 = 100/6 = 16.66 = 16
so total multiples of 2 and 3 = 83-16 = 67
100-67 = 33
Answer : D
Answer: (D) 33
Question: A team scored a total of 118 points. If each player on the team scored at least 14 points, then what is the greatest possible number of players on the team?
(A) 6
(B) 7
(C) 8
(D) 9
(E) 10
Rationale: 118/14=8 plus remainder.
The answer is C.
Answer: (C) 8
Question: The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square?
(A) 298
(B) 288
(C) 480
(D) 28
(E) 929
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 .
Answer:B
Answer: (B) 288
Question: A certain quantity of 40% concentration solution is replaced with 20% concentration solution such that the concentration of the combined amount is 35%.
What's the ratio of the amount of solution that was replaced to the amount of solution that was not replaced?
(A) 1:3
(B) 1:2
(C) 2:3
(D) 2:1
(E) 3:1
Rationale: 20% - - - - - - - - - 35% - - - - - - 40%
From 20 to 35 =15
From 35 to 40 = 5
So the ratio is 15/5 = 3 to 1
A it is
Answer: (A) 1:3
Question: There are a total of 15 students in Mr. Sam's gym class. Over the course of a badminton unit, each of the 15 students will compete exactly once against every other student in the class. How many total games of badminton will be played?
(A) 105
(B) 171
(C) 190
(D) 110
(E) 161
Rationale: there are 15 students , if each play with all other members .
then total games can be calculated as 14+13....+1 = 105.
alternate approach is to choose 2 distinct out of 14 = 14c2 = 105
Answer is A.
Answer: (A) 105
Question: By selling 16 pencils for a rupee a man loses 10%. How many for a rupee should he sell in order to gain 20%?
(A) 8
(B) 9
(C) 12
(D) 89
(E) 81
Rationale: 90% --- 16
120% --- ?
90/120 * 16 = 12
Answer: C
Answer: (C) 12
Question: Mr. Jones sold two pipes at $2 each. Based on the cost, his profit one was 40% and his loss on the other was 20%. On the sale of the pipes. Find the amount of his profit or loss?
(A) lost 10 cents
(B) lost 4 cents
(C) broke even
(D) gained 40 cents
(E) gained 10 cents
Rationale: 40 % profit on $ 2
= $ 40/100 × 2
= $ 0.40 × 2
= $ 0.80
Similarly, 20 % loss on $ 2
= $ 20/100 × 2
= $ 0.20 ×2
= $ 0.40
Therefore, in one pipe his profit is $ 0.80 and in the other pipe his loss is $ 0.40
so profit is 40 cents..
Answer is D.
Answer: (D) gained 40 cents
Question: By travelling at 40 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time?
(A) 20
(B) 99
(C) 77
(D) 63
(E) 61
Rationale: Let the time taken to reach the destination be 3x hours. Total distance = 40 * 3x = 120x km
He covered 2/3 * 120x = 80x km in 1/3 * 3x = x hours So, the remaining 40x km, he has to cover in 2x hours. Required speed = 40x/2x = 20 kmph.
Answer: A
Answer: (A) 20
Question: A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
(A) Rs.900
(B) Rs.875
(C) Rs.850
(D) Rs.860
(E) Rs.870
Rationale: CP = SP + 1CP = SP - g
800 + x = 980 - 2x
3x = 180 => x = 60
CP = 800 + 60 = 860
ANSWER:D
Answer: (D) Rs.860
Question: On the first of the year, James invested x dollars at Proudstar bank in an account that yields 3% in interest every quarter year. At the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. If James had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for James to have y dollars at the end of the year?
(A) 22.04%
(B) 16.12%
(C) 12.5%
(D) 18.25%
(E) 10%
Rationale: Per quarter, interest = 3% So for a year, interest = 12% Due to quarter cumulation, effective yield (YTM) would be slight higher than 12% Answer = 12.5% =ANSWER:C
Answer: (C) 12.5%
Question: If 9 is a factor of 2z, then which of the following may not be an integer?
(A) 6z/54 + 2z/3
(B) (4z-18)/9
(C) (2z+27)/9
(D) (81-4z^2)/81
(E) (2z-3)/3
Rationale: I got the right answer A after plugging in 18 for z.
While going through Kaplan's explanation, I couldn't understand the part about choice A.
"6z/54 + 2z/3 = 3/6 * 2z/9 + 2z/3.
Since 9 is a factor of 2z, 3 is also factor of 2z. So 2z/3 is an integer, as is 2z/9. But 3/6 = 1/2, so if 2z/9 is not even, the expression 3/6 * 2z/9 will not be even."
But, isn't 2z/9 always even? 9 is a factor of 2z, which means that we could have 2(9), 2(2)(9), 2(3)(9), and so forth. The 9 in the denominator cancels out the 9 in the numerator. So we are left with 2 * something. So 2z/9 is even.A
Answer: (A) 6z/54 + 2z/3
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1290, find the loss %?
(A) 14%
(B) 16%
(C) 17%
(D) 78%
(E) 28%
Rationale: 1500 ---- 210
100 ---- ? => 14%
Answer:A
Answer: (A) 14%
Question: 7, 14, 35, 56, 91, 126
In the sequence above, each term is related with the others. Which of the following could not be a term in the sequence?
(A) 224
(B) 259
(C) 322
(D) 686
(E) 841
Rationale: Simplifying the question into easier words we just need to find which of the numbers is not divisible by 7
clearly the answer is 841 because if we divide 841 by 4 we get a remainder of 1
Correct answer - E
Answer: (E) 841
Question: A can finish a piece of work in 5 days. B can do it in 10 days. They work together for two days and then A goes away. In how many days will B finish the work?
(A) 4 days
(B) 6 days
(C) 7 days
(D) 1 days
(E) 3 days
Rationale: A
4 days
2/5 + (2 + x)/10 = 1 => x = 4 days
Answer: (A) 4 days
Question: There are how many 4-digit even numbers if the first digit cannot be a zero?
(A) 3,600
(B) 3,645
(C) 4,500
(D) 4,999
(E) 5,000
Rationale: FIRST, lets write down the restrictions
1) these are four digit even numbers, so first digit can be 1 to 9, and the units digit can be 2,4,6,8, or 0..
2) any number of repetition can be done..
Now, lets work out a solution on these restrictions
1) units digit= any of five even digits.. 0,2,4,6,8..
2) at tens and hundreds position any of the ten digits can be placed ..
3) at thousands place, any of the 10 except 0 can be placed...
the ways= 5*10*10*9= 4500
another way
1) what are the different ways without any restriction =10*10*10*10=10,000..
2) out of these ways in which first digit is 0...= 1*10*10*10=1000..
3) Remaining= 10000-1000=9000
4) Half of 9000 will be even and other half odd.. so even = 9000/2=4500..
Ans C
Answer: (C) 4,500
Question: If two painters can complete two rooms in two hours, how many hours 10 painters would it take to do 20 rooms?
(A) 4
(B) 3
(C) 5
(D) 8
(E) 7
Rationale: Explanation:
Two painters can complete two rooms in two hours.So 20 rooms can be painted in 4 hrs by 10 painters
Answer: A) 4 painters
Answer: (A) 4
Question: A ball is bought for Rs.400 and sold at a gain of 35% find its selling price?
(A) A)Rs.480/-
(B) B)Rs.490/-
(C) C)Rs.500/-
(D) D)Rs.520/-
(E) E)Rs.540/-
Rationale: 100 % ------> 400 (100 * 4 = 400)
135 % ------> 540 (120 * 4 = 540)
Selling price = Rs.540/-
E
Answer: (E) E)Rs.540/-
Question: Fom the integer n, if n*n*n is odd, then what is true from below options?
(A) n is odd and n*n is even
(B) n is even
(C) n is odd
(D) n*n is odd
(E) n*n is even
Rationale: n is odd and n*n is even
Option A
Answer: (A) n is odd and n*n is even
Question: At the beginning of 2007, Atlantis Investing had 7000 Stocks and 5000 Dividends. At the end of 2007, Atlantis Investing had 9500 Stocks and 8000 Dividends. By approximately what percent did the ratio of Stocks to Dividends decrease from the beginning to end of the year
(A) 0.6%
(B) 3.2%
(C) 7.8%
(D) 15.2%
(E) 30.4%
Rationale: Beginning: stocks/dividend = 7000/5000 =560/400
Ending: stocks/dividend = 9500/8000 =475/400
ASIDE: It's useful to write both ratios with the same denominator. This allows us to IGNORE the denominator and focus solely on the numerators.
So, our ratio went from 560/400 to 475/400
Ignoring the denominators, we went from 560 to 475
The percent change = 100(difference in values)/(original value)
= (100)(560-475)/560
= (100)(85)/560)
= (100)(0.152)
≈ 15.2...
Answer: D
Answer: (D) 15.2%
Question: The difference of two numbers is 1465. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
(A) A)270
(B) B)280
(C) C)290
(D) D)300
(E) E)310
Rationale: Let the smaller number be x. Then larger number = (x + 1465).
x + 1465 = 6x + 15
5x = 1450
x = 290
Smaller number = 290.
C)
Answer: (C) C)290
Question: A train running at a speed of 36 km/h passes an electric pole in 14 seconds. In how many seconds will the whole train pass a 360-meter long platform?
(A) 44
(B) 46
(C) 48
(D) 50
(E) 52
Rationale: Let the length of the train be x meters.
When a train crosses an electric pole, the distance covered is its own length x.
speed = 36 km/h = 36000 m / 3600 s = 10 m/s
x = 14 * 10 = 140 m.
The time taken to pass the platform = (140 +360)/ 10 = 50 seconds
The answer is D.
Answer: (D) 50
Question: In what time will a train 350 m long cross an electric pole, it its speed be 144 km/hr?
(A) 2.5 sec
(B) 2.95 sec
(C) 1.3 sec
(D) 8.75 sec
(E) 1.85 sec
Rationale: Speed = 144 * 5/18
= 40 m/sec
Time taken = 100/40
= 8.75 sec.
Answer:D
Answer: (D) 8.75 sec
Question: In a certain growth fund, 3/5 of the investment capital is invested in stocks, and of that portion, 1/3 is invested in preferred stocks. If the mutual fund has $841,000 invested in preferred stocks, what is the total amount of money invested in the fund?
(A) $1,974,000
(B) $2,538,000
(C) $3,264,000
(D) $3,826,000
(E) $4,205,000
Rationale: Portion invested in preferred stock = 3/5 * 1/3 = 1/5
1/5 of fund = 841---
Fund = 5 * 841---
Here, we can avoid the math and simply look at 5 * 1 -> 5. Only option E has 5 in it.
Answer (E).
Answer: (E) $4,205,000
Question: What is the probability of getting a sum 9 from two throws of a dice?
(A) 1/9
(B) 3/8
(C) 1/18
(D) 2/15
(E) 6/10
Rationale: Two throws of a die = (6*6) = 36
Event of sum = ((3,6),(4,5),(5,4),(6,3))
P= 4/36 ==> 1/9
ANSWER A
Answer: (A) 1/9
Question: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2400?
(A) s.800
(B) s.810
(C) s.820
(D) s.900
(E) s.920
Rationale: 2400 * 1/3 = 800
Option A
Answer: (A) s.800
Question: A discount electronics store normally sells all merchandise at a discount of 10 percent to 30 percent off the suggested retail price. If, during a special sale, an additional 15 percent were to be deducted from the discount price, what would be the lowest possible price of an item costing $260 before any discount?
(A)  $130.00
(B)  $145.60
(C)  $154.70
(D)  $182.00
(E)  $210.00
Rationale: Since the question is essentially just about multiplication, you can do the various mathstepsin a variety of ways (depending on whichever method you find easiest).
We're told that the first discount is 10% to 30%, inclusive. We're told that the next discount is 20% off of the DISCOUNTED price....
We're told to MAXIMIZE the discount (thus, 30% off the original price and then 20% off of the discounted price). Thatmathcan be written in a number of different ways (fractions, decimals, etc.):
30% off = (1 - .3) = (1 - 30/100) = (.7) and the same can be done with the 20% additional discount...
The final price of an item that originally cost $260 would be.....
($260)(.7)(.85) =
($260)(.595)=154.7
Final Answer:
C
Answer: (C)  $154.70
Question: On dividing 95 by a number, the quotient is 6 and the remainder is 5. Find the divisor.
(A) 14
(B) 15
(C) 16
(D) 17
(E) 18
Rationale: d = (D-R)/Q
= (95 - 5)/6
= 90/6 = 15
B
Answer: (B) 15
Question: A fort of 2000 soldiers has provisions for 50 days. After 10 days some of them left and the food was now enough for the same period of 50 days as before. How many of them left?
(A) 400
(B) 197
(C) 278
(D) 270
(E) 279
Rationale: 2000 ---- 50
2000 ---- 40
x ----- 50
x*50 = 2000*40
x=1600
2000
-------
400
Answer: A
Answer: (A) 400
Question: The sum of first 45 natural numbers is:
(A) 1035
(B) 1040
(C) 1042
(D) 1045
(E) 1050
Rationale: Let Sn =(1 + 2 + 3 + ... + 45). This is an A.P. in which a =1, d =1, n = 45.
Sn = n [2a + (n - 1)d] = 45 x [2 x 1 + (45 - 1) x 1] = 45 x 46 = (45 x 23)
2 2 2
= 45 x (20 + 3)
= 45 x 20 + 45 x 3
= 900 + 135
= 1035.
Shorcut Method:
Sn = n(n + 1) = 45(45 + 1) = 1035.
2 2
A
Answer: (A) 1035