mathewhe/aqua_rat huggingface dataset:
Question: Kamal started a business with Rs.25000 and after 4 months, Kiran joined him with Rs.60000. Kamal received Rs.58000 including 10% of profit as commission for managing the business. What amount did Kiran receive?
(A) 75000
(B) 70000
(C) 72000
(D) 78000
(E) None of these
Rationale: Explanation :
Ratio of the profits = 25000*12 : 60000*8
= 25*12 : 60*8 = 5*3 : 12:2 = 5 : 4*2
= 5:8
Let the total profit = x.
Then Kamal received 10x/100 = x/10 as commission for managing the business
Remaining profit = x- x/10 = 9x/10 which is shared in the ration 5:8
Kamal's share = x/10 + (9x/10) * (5/13) = 58000
=> x + 9x(5/13) = 580000
=> x(1 + 45/13) = 580000
=> x ( 58/13) = 580000
=> x ( 1/13) = 10000
=> x = 130000
Kiran's share = 130000 - 58000 = 72000. Answer : Option C
Answer: (C) 72000
Question: How many arrangements of the letters of the word BEGIN can be made, without changing the place of the vowels in the word?
(A) 6 ways
(B) 7 ways
(C) 9 ways
(D) 11 ways
(E) 13 ways
Rationale: E,I fixed. Consonants can be arrangements in 3P3 = 3! = 6 ways
A)
Answer: (A) 6 ways
Question: In a division sum, the quotient is 120, the divisor 456 and the remainder 333, find the dividend?
(A) 55287
(B) 29887
(C) 27768
(D) 55053
(E) 17191
Rationale: Explanation:
120 * 456 + 333 = 55053
Answer: D
Answer: (D) 55053
Question: A family made a down payment of $25
and borrowed the balance on a set of
encyclopedias that cost $400. The
balance with interest was paid in 28
monthly payments of $16 each and a
final payment of $19. The amount of
interest paid was what percent of the
amount borrowed?
(A)  6.75%
(B)  12.25%
(C)  14.23%
(D)  16.66%
(E)  24.53%
Rationale: interest paid = 16*28+19 - 375 = 92
% off the balance = (92/375) * 100 = 24.53%
Answer is E.
Answer: (E)  24.53%
Question: 4 dice are thrown simultaneously on the board. Find the probability show the same face.
(A) 2/213
(B) 3/115
(C) 1/216
(D) 4/221
(E) 5/229
Rationale: The total number of elementary events associated to the random experiments of throwing four dice simultaneously is:
=6×6×6×6=64=6×6×6×6=64
n(S)=64n(S)=64
Let XX be the event that all dice show the same face.
X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}
n(X)=6n(X)=6
Hence required probability,
=n(X)n(S)=664=n(X)n(S)=664
=1/216
C
Answer: (C) 1/216
Question: On a sum of money, the S.I. for 2 years is Rs. 660, while the C.I. is Rs. 696.30, the rate of interest being the same in both the cases. The rate of interest is?
(A) 23
(B) 28
(C) 12
(D) 11
(E) 18
Rationale: Explanation:
Difference in C.I. and S.I for 2 years = (696.30 - 660) = Rs. 36.30.
S.I for one year = Rs. 330.
S.I. on Rs. 330 for 1 year = Rs. 36.30
Rate = (100 * 36.30)/(330 * 1) = 11%
Answer: D
Answer: (D) 11
Question: There are 24 students in a seventh grade class. They decided to plant birches and roses at the school's backyard. While each girl planted 3 roses, every three boys planted 1 birch. By the end of the day they planted 24 plants. How many birches and roses were planted?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Rationale: Let x be the number of roses. Then the number of birches is 24−x, and the number of boys is 3×(24−x). If each girl planted 3 roses, there are x3 girls in the class.
We know that there are 24 students in the class. Therefore x3+3(24−x)=24
x+9(24−x)=3⋅24
x+216−9x=72
216−72=8x
1448=x
x=18
So, students planted 18 roses and 24 - x = 24 - 18 = 6 birches.
So answer is D.
Answer: (D) 6
Question: Raj drives slowly along the perimeter of a rectangular park at 24 kmph and completes one full round in 4 min. If the ratio of length to bredth of the park is 3 : 2, what are the dimansions?
(A) 100 m x 109 m
(B) 100 m x 102 m
(C) 100 m x 120 m
(D) 100 m x 100 m
(E) 100 m x 200 m
Rationale: 24 kmph = 24×100060=40024×100060=400 m / min
In 4 minutes he covered 4 x 400 = 1600 m
This is equal to the perimeter 2 ( l + b) = 1600
But l : b = 3:2
Let l = 3k, b = 2k
Substituting, we get 2 ( 3k + 2k ) = 1600 => k = 180
So dimensions are 480 x 320
Answer:D
Answer: (D) 100 m x 100 m
Question: How much interest will $10,000 earn in 3 months at an annual rate of 6%?
(A) $250
(B) $150
(C) $450
(D) $550
(E) $650
Rationale: Soln:-
6 months = 1/4 of year;
6% = 6/100=3/50;
$10,000(principal)*3/50(interest rate)*1/4(time)=$150.
ANSWER:B
Answer: (B) $150
Question: The average of five numbers is 41. The average of first two numbers is 32 and the average of last two numbers is 38. What is the middle number?
(A) 59
(B) 64
(C) 61
(D) 72
(E) 65
Rationale: The total of five numbers = 5X41 = 205
The total of first 2 and last 2 numbers is = 2 X 32+2 X 38 = 140
So, the middle number is (205 - 140 ) = 65
E
Answer: (E) 65
Question: A dishonest shopkeeper professes to sell pulses at the cost price, but he uses a false weight of 950gm. for a kg. His gain is …%.
(A) 5.3 %
(B) 8.2%
(C) 4.3%
(D) 8.3%
(E) 8.0%
Rationale: He sells 950 grams of pulses and gains 50 grams.
If he sells 100 grams of pulses then he will gain (50 / 950) *100 = 5.26
4. A software engineer has the capability of thinking 100 lines of code in five minutes and can type 100 lines of code in 10 minutes. He takes a break for five minutes after every ten minutes. How many lines of codes will he complete typing after an hour?
Answer:A
Answer: (A) 5.3 %
Question: The average price of three items of furniture is Rs. 15000. If their prices are in the ratio 3:5:7, the price of the cheapest item is :
(A) 2348
(B) 3888
(C) 3988
(D) 9000
(E) 2882
Rationale: Explanation:
Let their prices be 3x, 5x and 7x.
Then, 3x + 5x + 7x = (15000 * 3) or x = 3000.
Cost of cheapest item = 3x = Rs. 9000.
Answer: D) 9000
Answer: (D) 9000
Question: The respective ratio between the angles of a quadrilateral is 1 : 2 : 3 : 4. What is the sum of the twice the smallest angle and half the largest angle together?
(A) 22
(B) 77
(C) 62
(D) 22
(E) 71
Rationale: Answer:B
Answer: (B) 77
Question: Last year’s receipts from the sale of greeting cards during the week before Mother’s Day totaled $234 million, which represented 6 percent of total greeting card sales for the year. Total greeting card sales for the year totaled how many million dollars?
(A) 17,010
(B) 2,100
(C) 3,900
(D) 1,701
(E) 2107
Rationale: 6% ---- 234 millions
for 100% => ( 234 * 100% )/6% = 3900.
Option C.
Answer: (C) 3,900
Question: A certain car averages 30 miles per gallon when driving in the city and 40 miles per gallon when driving on the highway. According to these rates, which of the following is closest to the number of miles per gallon that the car averages when it is driven 10 miles in the city and then 50 miles on the highway?
(A) 28
(B) 30
(C) 33
(D) 36
(E) 38
Rationale: Answer E
No of Miles per Gallon = Total no of miles/Total no of Gallons
=10+50/(10/30+50/40) ~ 37.89
Answer: (E) 38
Question: List I: 4, 8, 12, 16 List II: x,4, 8, 12, 16
(A) 5
(B) 4
(C) 3
(D) 10
(E) 2
Rationale: List I has even number of terms, thus its median is the average of two middle terms (when arranged in ascending/descending order), so median=(8+12)/2=10
List II has odd number of terms, thus its median is the middle term (when arranged in ascending/descending order). As no other number in the list equal to 10, then x=10.
Answer: D
Answer: (D) 10
Question: When a shop keeper sold 2/3 of an item, he got the cost price of the whole lot. What is the percentage of his profit?
(A) 33 1/8%
(B) 66 2/3%
(C) 25%
(D) 50%
(E) None of these
Rationale: Explanation:
If 2/3 of the cost of item amount to CP
Then the ½ of the cost of item amounts to gain
:. Profit percentage = 1 x 100/2 = 50%.
Answer: Option D
Answer: (D) 50%
Question: John bought 9.25m of cloth for $416.25. Find the cost price per metre.
(A) 46
(B) 47
(C) 45
(D) 56
(E) 54
Rationale: Cloth bought by John = 9.25 m
Cost of 9.25 m = $416.25
Cost per metre = 416.25 ÷ 9.25
The cost of the cloth per metre = $ 45
Answers: C
Answer: (C) 45
Question: A shopkeeper bought 600 oranges and 400 bananas. He found 15% of oranges and 3% of bananas were rotten. Find the percentage of fruits in good condition?
(A) 92.5%
(B) 89.8%
(C) 85.2%
(D) 96.8%
(E) 78.9%
Rationale: Total number of fruits shopkeeper bought = 600 + 400 = 1000
Number of rotten oranges = 15% of 600
= 15/100 × 600
= 9000/100
= 90
Number of rotten bananas = 3% of 400
= 12
Therefore, total number of rotten fruits = 90 + 12 = 102
Therefore Number of fruits in good condition = 1000 - 102= 898
Therefore Percentage of fruits in good condition = (898/1000 × 100)%
= (89800/1000)%
= 89.8%
Answer:B
Answer: (B) 89.8%
Question: The number of circles that can be drawn out of 10 points of which 7 are collinear is
(A) 130
(B) 85
(C) 45
(D) Cannot be determined
(E) None
Rationale: Solution
For drawing a circle we need 3 non collinear points.This can be done in:
3C3 + 3C2 × 7C1 + 3C1 × 7C2 = 1 + 21 + 63 = 85.
Answer B
Answer: (B) 85
Question: A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is
(A) 3.34
(B) 2
(C) 4.5
(D) 5.5
(E) 5
Rationale: Area of the path = Area of the outer circle - Area of the inner circle = ∏{4/2 + 25/100}2 - ∏[4/2]2
= ∏[2.252 - 22] = ∏(0.25)(4.25) { (a2 - b2 = (a - b)(a + b) }
= (3.14)(1/4)(17/4) = 53.38/16 = 3.34 sq m
ANSWER:A
Answer: (A) 3.34
Question: Evan ran a mile in 10 minutes Monday morning, and he ran the same mile in 8 minutes on Tuesday morning. On average, how many minutes did he take to run the mile over both days?
(A) 9
(B) 18
(C) 2
(D) 80
(E) 10
Rationale: (10 + 8)/2 = 9
The correct answer is A
Answer: (A) 9
Question: A double decked bus can accomodate 90 passengers,40 in the upper deck and 50 in the lower deck.In how many ways can the passengers be accomodated if 15 refuse to be in the upper deck while 10 others refuse to be in the lower deck?
(A) 1. 85!50!60!/40!45!
(B) 2. 65!/30!35!
(C) 3. 110!/50!60!
(D) 4. 110!50!60!/40!45!
(E) 5. 110!/40!45!
Rationale: 90 passengers,40 in the upper deck and 50 in the lower deck.
25 passengers have issues as 15 refuse to be in the upper deck while 10 others refuse to be in the lower deck
So those 15 will be put in lower deck and 10 will be in upper deck
So from the rest 65 passengers(90-25), we need to find 30 people to put into upper deck and the rest go to lower deck
So the ways are: C(65,30) = 65!/30!35! . Answer B
Answer: (B) 2. 65!/30!35!
Question: What is the sum of the multiples of 4 between 53 and 145 inclusive?
(A) 2000
(B) 2200
(C) 2300
(D) 2450
(E) 2500
Rationale: the fastest way in an AP is to find the average and multiply with total integers..
between 53 and 145, the smallest multiple of 4 is 56 and largest =144..
average=(56+144)/2=100..
total numbers = (144-56)/4 + 1= 22+1=23..
sum=23*100=2300
ans C
Answer: (C) 2300
Question: A hat company ships its hats, individually wrapped, in 8-inch by 10-inch by 12-inch boxes. Each hat is valued at $6.0. If the company’s latest order required a truck with at least 288,000 cubic inches of storage space in which to ship the hats in their boxes, what was the minimum value of the order?
(A) $960
(B) $1,350
(C) $1,725
(D) $2,050
(E) $1,800
Rationale: Total Volume is 288000
Given LBH = 8*10*12.
the number of hats inside it = 288000/10 * 8 * 12 = 300.
price of each hat is 6 $ then total value is 300 * 6.0 = 1800.
IMO option E is correct answer..
Answer: (E) $1,800
Question: Let g(x) be a function such that g(x + 1) + g(x - 1) = g(x) for every real x. Then for what value of p is the relation g(x + p) = g(x) necessarily true for every real x?
(A) 7
(B) 2
(C) 6
(D) 87
(E) 21
Rationale: g(x + 1) + g(x - 1) = g(x)
g(x + 2) + g(x) = g(x + 1)
Adding these two equations we get
⇒⇒ g(x + 2) + g(x - 1) = 0
⇒⇒ g(x + 3) + g(x) = 0 (By substituting x = x+1)
⇒⇒ g(x + 4) + g(x + 1) = 0 (By substituting x = x+1)
⇒⇒ g(x + 5) + g(x + 2) = 0 (By substituting x = x+1)
⇒⇒ g(x + 6) + g(x + 3) = 0 (By substituting x = x+1)
⇒⇒ g(x + 6) - g(x) = 0 ( g(x+3) + g(x) = 0 ⇒⇒ g(x+3) = - g(x))
⇒⇒ g(x + 6) = g(x)
So for p = 6 the function is periodic.
Answer:A
Answer: (A) 7
Question: Ravi's 4days average income is 1025.68. But in a form he should write his average income as the greatest positive even integer less than or equal to his 4days average income. what is the difference between his real average and form filling average?
(A) 2
(B) 4.3
(C) 1.68
(D) 1.5
(E) 3.2
Rationale: Since Ravi's 4days average income for form filling is defined as the greatest positive even integer less than or equal to his avg income, then avg income for form filling =1024 (the greatest positive even integer less than or equal to 1025.68 is 1024).
Hence the difference = 1025.68 - 1024 = 1.68
Answer: C.
Answer: (C) 1.68
Question: 60% of a number is added to 120, the result is the same number. Find the number?
(A) 300
(B) 200
(C) 400
(D) 500
(E) 600
Rationale: (60/100) * X + 120 = X
2X = 600
X = 300
ANSWER:A
Answer: (A) 300
Question: Set S has a mean of 10 and a standard deviation of 1.5. We are going to add two additional numbers to Set S. Which pair of numbers would decrease the standard deviation the most?
(A) {2, 10}
(B) {10, 18}
(C) {7, 13}
(D) {9, 11}
(E) {16, 16}
Rationale: Starting list has mean = 10 and standard deviation of 1.5.
(A) {2, 10} — these two don’t have a mean of 10, so adding them will change the mean; further, one number is “far away”, which will wildly decrease the mean, increasing the deviations from the mean of almost every number on the list, and therefore increasing the standard deviation. WRONG
B. {10, 18} — these two don’t have a mean of 10, so adding them will change the mean; further, one number is “far away”, which will wildly increase the mean, increasing the deviations from the mean of almost every number on the list, and therefore increasing the standard deviation. BTW, (A) & (B) are essentially the same change — add the mean and add one number eight units from the mean. WRONG
C. {7, 13} — centered on 10, so this will not change the mean. Both of these are a distance of 3 units from the mean, and this is larger than the standard deviation, so it increases the size of the typical deviation from the mean. WRONG
D. {9, 11} — centered on 10, so this will not change the mean. Both of these are a distance of 1 units from the mean, and this is less than the standard deviation, so it decreases the size of the typical deviation from the mean. RIGHT
E. {16, 16} — these are two values far away from everything else, so this will wildly increase the standard deviation. WRONG
Answer = D
Answer: (D) {9, 11}
Question: What is the greatest of 3 consecutive integers whose sum is 27?
(A) 6
(B) 7
(C) 8
(D) 9
(E) 10
Rationale: 27 / 3 = 9
The three numbers are 8, 9, and 10.
The answer is E.
Answer: (E) 10
Question: How many odd factors does 460 have?
(A)  3
(B)  4
(C)  5
(D)  6
(E)  8
Rationale: Start with the prime factorization: 460 = 2*5*23
For odd factors, we put aside the factor of two, and look at the other prime factors.
set of exponents = {1, 1}
plus 1 to each = {2, 2}
product = 2*2 = 4
Therefore, there are 4 odd factors of 460.
Answer: B.
Answer: (B)  4
Question: A is thrice as good as B in work. A is able to finish a job in 60 days less than B. They can finish the work in - days if they work together.
(A) 18 days
(B) 22 ½ days
(C) 24 days
(D) 26 days
(E) 23 days
Rationale: If A completes a work in 1 day, B completes the same work in 3 days
Hence, if the difference is 2 days, B can complete the work in 3 days
=> if the difference is 60 days, B can complete the work in 90 days
=> Amount of work B can do in 1 day= 1/90
Amount of work A can do in 1 day = 3 × (1/90) = 1/30
Amount of work A and B can together do in 1 day = 1/90 + 1/30 = 4/90 = 2/45
=> A and B together can do the work in 45/2 days = 22 ½ days
Answer : B
Answer: (B) 22 ½ days
Question: The remainder obtained when a prime number greater than 5 is divided by 5 is
(A) a) 1 or 2
(B) b) 1 or 5
(C) c) 3 or 5
(D) d) 4 or 5
(E) e) 5
Rationale: The easiest way to answer this question is probably to pick numbers. Use the next two prime numbers greater than 6, i.e. 7 and 11:
7/5 = 1 + remainder of 2
11 / 5 = 2 + remainder of 1
This is already sufficient to see that answer choice a) is correct.
A
Answer: (A) a) 1 or 2
Question: If x, y, and z are consecutive positive odd integers, not necessarily in that order, which of the following must be true? I. xy> z^4 II. (x + z)^4 > y III. x+y>z^4
(A) II only
(B) I only
(C) III only
(D) I,II only
(E) I,III only
Rationale: Lets suppose that a,b,c can take any one of following three value 1,5,7. Most important point is that the options MUST BE TRUE under any condition.
x+y>z^4
Not necessarily true as 1+5<2401
xz>y^4
Not necessarily true as 1.7<625
We don't need to check option as all the options except A can be discarded.
Thus Answer A
Answer: (A) II only
Question: A sum is sufficient to pay either George age for 15 days or marks wage to 10dayshow long together?
(A) 4
(B) 5
(C) 6
(D) 7
(E) 8
Rationale: George one day work is (1/15)
Marks one day work is (1/10)
G+M=(1/15)+(1/10)=(1/6)
6 is the answer
ANSWER:C
Answer: (C) 6
Question: At what rate percent of simple interest will a sum of money double itself in 77 years?
(A) 6.54 %
(B) 2.54 %
(C) 8 .2 %
(D) 4.94 %
(E) 1.29 %
Rationale: Let sum = x. Then, S.I. = x.
Rate = (100 * S.I.) / (P * T) = (100 * x) / (x * 77)
= 100/77 = 1.29 %
ANSWER:E
Answer: (E) 1.29 %
Question: The average age of seven persons sitting in a row facing east is 28 years. If the average age of the first three persons is 21 years and the average age of the last three persons is 34 years, then find the age of the person sitting in the middle of the row?
(A) 31 years
(B) 78 years
(C) 27 years
(D) 11 years
(E) 87 years
Rationale: Total age seven persons = (28 * 7)years
Total age of the first three persons and the last three persons are (21 * 3) years and (34 * 3) years respectively.
Age of the person sitting in the middle of the row
= 28 * 7 - 21 * 3 - 34 * 3 = 196 - 63 - 102
= 31 years.
Answer: B
Answer: (B) 78 years
Question: The average (arithmetic mean) of the integers from 200 to 400, inclusive, is how much greater than the average of the integers from 100 to 200, inclusive?
(A)  150
(B)  175
(C)  200
(D)  225
(E)  300
Rationale: For an AP the mean or average of series is average of first and last term.
So, average of numbers between 200 to 400, inclusive = (200+400)/2 = 300
average of numbers between 100 to 200, inclusive = (100+200)/2 = 150
difference = 300 - 150 = 150
Answer is A
Answer: (A)  150
Question: Several people are sitting around a round table playing a card game with a deck of 40 cards. Each person is dealt one card per deal, and the cards are dealt in a clockwise fashion. If Martin is dealt both the first card of the deck and the last card of the deck, which of the following could be the total number of people sitting at the table?
(A) 4
(B) 5
(C) 7
(D) 11
(E) 13
Rationale: Let n be the number of people at the table.
If Martin gets the first and the last card, it means Martin got one more card than the others.
Thus 40/n has a remainder of 1 and so 40-1 = 39 is a multiple of n.
The answer is E.
Answer: (E) 13
Question: Six computers, each working at the same constant rate, together can process a certain amount of data in 12 days. How many additional computers, each working at the same constant rate, will be needed to process the same amount of data in 6 days?
(A) 3
(B) 5
(C) 6
(D) 9
(E) 12
Rationale: Explanation: If six computers require 12 days to process the data, thats
a total of 72 computer-days the product of 6 and 12. If you change the number
of computers or the number of days, 72 will have to remain the product, whether
that means 72 days of one computer or one day with 72 computers.
In 6 days, the number of computers is:
6c = 72
c = 12
12 computers is 6 more than the 6 that it took to do the job in 12 days, so
the correct choice is (C).
Answer: (C) 6
Question: If x and y are positive integers, which of the following CANNOT be the greatest common divisor of 5x and 20y?
(A) 5
(B) 5(x-y)
(C) 20x
(D) 20y
(E) 35x
Rationale: We are looking for a choice that CANNOT be the greatest common divisor of 5x and 20y ...which means 5x and 20y when divided by the answer choice the quotient should not be a integer.
lets check
a. 5 5x/5 = x and 20y/5 = 4y both are integers so eliminate
b. 5(x-y) when x = 2 and y = 1 it could be be the greatest common divisor ..so eliminate
c. 20x when x = 1 its 20 and 20 cannot be the greatest common divisor of 5x and 20y ...
or 5x/20x = 1/4 which is not a integer.
C
Answer: (C) 20x
Question: If two distinct positive divisors of 128 are randomly selected, what is the probability that their sum will be less than 32?
(A) 2/5
(B) 3/7
(C) 5/14
(D) 11/28
(E) 16/35
Rationale: The positive divisors are 1, 2, 4, 8, 16, 32, 64, 128.
If any of the first five are chosen, the sum will be less than 32.
P(sum is less than 32) = 5/8 * 4/7 = 5/14
The answer is C.
Answer: (C) 5/14
Question: The average of 50 numbers is 38. If two numbers 45 and 55 are discarded, the average of the remaining set of numbers is
(A) 38.5
(B) 37.5
(C) 37.0
(D) 36.5
(E) None of these
Rationale: Average of the remaining set of numbers
[50 x 38 - (45 + 55)] / (50 - 2)
= (1900 - 100) / 48
= 37.5
ANSWER:B
Answer: (B) 37.5
Question: A man bought 40 shares of Rs. 60 at 5 discount, the rate of dividend being 1212%The rate of interest obtained is
(A) 13.64%
(B) 15.5%
(C) 14%
(D) 14.25%
(E) 14.95%
Rationale: Explanation :
Face Value of a share = Rs.60
He bought each share at Rs.60 - Rs.5 = Rs.55
Number of shares = 40
Dividend = 12 1/2%=25/2%
Dividend per share = 60×25/2×100=Rs.7.5
Total dividend = (40 × 7.5)
ie, He got a dividend of (40 × 7.5) for an investment of Rs.(40 × 55)
Interest obtained = 40×7.5×100/40×55=13.64%
Answer : Option A
Answer: (A) 13.64%
Question: If 42.30 = k(14 + m/50), where k and m are positive integers and m < 50, then what is the value of k + m ?
(A) 6
(B) 7
(C) 8
(D) 9
(E) 10
Rationale: 42.30 = 14K + Km/50...we can rewrite the number as follows:
42+ 0.30= 14K + Km/50........Since K is integer, then 42=14K..........K=3
0.30=Km/50......40/100=3m/50......m=5
k+m=3+5=8
Answer: C
Answer: (C) 8
Question: There are 3 teams each with 5 basket players. How many combinations are there if we were to pick 2 players from the 3 teams such that no team was picked twice?
(A) 50
(B) 23
(C) 75
(D) 28
(E) 45
Rationale: There are altogether three arrangements, which are we can select two members each from team A and B, each from team A and C, and each from team B and C. For each arrangement, there are altogether 25 possibilities (5*5) since each team has 5 players. So there are a total of 75 possibilities (25*3).
ANSWER:C
Answer: (C) 75
Question: If Jenee earns a raise of between 5% and 10%, non-inclusive, by what fraction could her salary have increased?
(A) 1/4
(B) 1/5
(C) 1/10
(D) 3/50
(E) 1/20
Rationale: Perhaps it is also easy to just translate the % into fractions:
6%: 6/100 = 3/50
7%: 7/100
8%: 8/100 = 4/50 =2/25
9%: 9/100
Only 3/50 exists in the answer choices, so ANS D
Answer: (D) 3/50
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:
(A) 10
(B) 18
(C) 36
(D) 72
(E) 62
Rationale: Let the speed of the train is x
Realtive speed between the trains =2x
time =12
distance=240
2x=240/12
2x=20
x=10 km/hr ANSWER:A
Answer: (A) 10
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
(A) 127 m
(B) 277 m
(C) 245 m
(D) 217 m
(E) 219 m
Rationale: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30 = 25/2 => 2(130 + x) = 750 => x = 245 m.
Answer: C
Answer: (C) 245 m
Question: Simplify: 5358 x 51
(A) 523258
(B) 254692
(C) 253582
(D) 263258
(E) 273258
Rationale: 5358 x 51	= 5358 x (50 + 1)
= 5358 x 50 + 5358 x 1
= 267900 + 5358
= 273258.
Answer is E
Answer: (E) 273258
Question: A Guava costs Rs 8 each and a apple costs Rs. 21 each. If I spend Rs 101 on total what is the number of guava I purchased?
(A) 5
(B) 4
(C) 3
(D) 6
(E) 10
Rationale: 10 * 8+21 = 101
Answer : 10
Option : E
Answer: (E) 10