mathewhe/aqua_rat huggingface dataset:
Question: The price for a loaf of bread in April was $1.23, in May the price was $1.22, and in June the price was $1.08. If 2/3 as much bread was sold in April as in May, and twice as much was sold in June as in April, what was the average price for a loaf of bread sold during the three-month period?
(A) $1.16
(B) $1.15
(C) $1.14
(D) $1.13
(E) $1.12
Rationale: Let x be the number of loaves sold in May.
Then 2x/3 loaves were sold in April and 4x/3 loaves were sold in June.
The average price was (2x/3)(123) + 122x + (4x/3)(108) / (2x/3 + x + 4x/3) =
(82 + 122 + 144) / (3) = 348/3 = $1.16
The answer is A.
Answer: (A) $1.16
Question: The total price of a basic computer and printer are $2,500. If the same printer had been purchased with an enhanced computer whose price was $500 more than the price of the basic computer, then the price of the printer would have been 1/4 of that total. What was the price of the basic computer?
(A) 1500
(B) 1600
(C) 1750
(D) 1900
(E) 2000
Rationale: Let the price of basic computer be C and the price of the printer be P: C+P=$2,500.
The price of the enhanced computer will be C+500 and total price for that computer and the printer will be 2,500+500=$3,000. Now, we are told that the price of the printer is 1/4 of that new total price: P=1/4*$3,000=$750.
Plug this value in the first equation: C+750=$2,500 --> C=$1,750
Answer: C.
Answer: (C) 1750
Question: To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to 3/10 of its present?
(A) 61.5
(B) 60.5
(C) 63.5
(D) 83.333
(E) 64.5
Rationale: Let capacity of 1 bucket = x
Capacity of the tank = 25x
New capacity of the bucket = 3x/10
Hence, number of buckets needed = 25x/(3x/10)=(25×10)/3=83.33333
Answer is D.
Answer: (D) 83.333
Question: 207,200,...,186,179,172
Insert the missing number
(A) 190
(B) 191
(C) 192
(D) 189
(E) 193
Rationale: Missing number : 193
Answer : E
Answer: (E) 193
Question: In 1998 the profits of company N were 10 percent of revenues. In 1999, the revenues of company N fell by 30 percent, but profits were 14 percent of revenues. The profits in 1999 were what percent of the profits in 1998?
(A) 80%
(B) 105%
(C) 120%
(D) 124.2%
(E) 98%
Rationale: 0,098R = x/100*0.1R
Answer E
Answer: (E) 98%
Question: A certain store sells small, medium, and large toy trucks in each of the colors red, blue, green, and yellow. The store has an equal number of trucks of each possible color-size combination. If Paul wants a medium, red truck and his mother will randomly select one the trucks in the store, what is the probability that the truck she selects will have at least one of the two features Paul wants?
(A) 1/4
(B) 1/3
(C) 1/2
(D) 7/12
(E) 2/3
Rationale: No. of colors=4
no. of sizes=3
Total outcomes=12
Remaining outcomes=6
hence probability that truck is neither red nor of medium size is 6/126/12.
hence probability that the truck she selects will have at least one of the two features Paul wants will be 1−6/121−6/12 or 1/2
ANSWER:C
Answer: (C) 1/2
Question: How many days will there be from 26th January,1996 to 15th May,1996(both days included)?
(A) 102
(B) 103
(C) 111
(D) 120
(E) None of these
Rationale: Explanation :
Number of days from 26-Jan-1996 to 15-May-1996 (both days included)
= 6(Jan) + 29(Feb) + 31 (Mar) + 30(Apr)+ 15(May) = 111.. Answer : Option C
Answer: (C) 111
Question: The present age of a father is 3 years more than three times the age of his son.Three years hence,father as age will be 8 years more than twice the age of the son.Find the present age of the father.
(A) 88
(B) 77
(C) 33
(D) 44
(E) 27
Rationale: Explanation:
Let the present age be 'x' years. Then father's present age is 3x+3 years. Three years hence (3x+3)+3=2(x+3)+8 x=8 Hence father's present age = 3x+3 =[ (3 x 8) + 3] = 27 years.
Answer: E
Answer: (E) 27
Question: If both 5^2 and 3^4 are factors of the number a*4^3*6^2*13^11, then what is the smallest possible value of a?
(A) 80
(B) 120
(C) 150
(D) 225
(E) 300
Rationale: The number a must include at least 3^2*5^2 = 225
The answer is D.
Answer: (D) 225
Question: The ratio, by volume, of bleach to detergent to water in a certain solution is 2 : 40 : 100. The solution will be altered so that the ratio of bleach(B) to detergent is tripled while the ratio of detergent to water is halved. If the altered solution will contain 300 liters of water, how many liters of detergent will it contain?
(A) 40
(B) 60
(C) 50
(D) 30
(E) 70
Rationale: B:D:W = 2:40:100
Bnew / Dnew = (1/3)*(2/40) = (1/60)
Dnew / Wnew = (1/2)*(40/100) = (1/5)
Wnew = 300
Dnew = Wnew/5 = 300/5 = 60
So, answer will be B
B
Answer: (B) 60
Question: How long will it take a sum of money invested at 5% p.a. S.I. to increase its value by 50%?
(A) 10 years.
(B) 4 years.
(C) 8 years.
(D) 12 years.
(E) 14 years.
Rationale: Sol.
Let the sum be x. Then, S.I. = 50% of x = x/2; Rate =5%.
âˆ´ Time = [100 * x/2 * 1/x*5] = 10 years.
Answer A
Answer: (A) 10 years.
Question: Find the difference between the average of first n even numbers and the average of all the even numbers up to n (n is an even number).
(A) n
(B) (n-1)/2
(C) n/2
(D) cannot be determined
(E) None of these
Rationale: Explanation :
(n+1)-((n/2)+1)
Answer : C
Answer: (C) n/2
Question: Which is next
KUZ, MOX, OIV, QET
(A) SUR
(B) SAQ
(C) RAR
(D) SPZ
(E) SAR
Rationale: First letter in each word increases by 2
K+2=M, M+2=O, O+2=Q, Q+2=S
2nd letter decreases by 6 FOR 1ST 2 WORDS ND DEC BY 4 FOR NEXT 2 WORDS
U-6=O, O-6=I, I-4=E, E-4=A
3rd letter decreases by 2
Z-2=X, X-2=V, V-2=T, T-2=R
So the next word is SAR
ANSWER:E
Answer: (E) SAR
Question: Which of the following is closest to 10^180 – 10^20 ?
(A) 10^210
(B) 10^180
(C) 10^150
(D) 10^90
(E) 10^6
Rationale: 10^180 – 10^20
10^20 * (10^160 – 1)
as we know 10^2 - 1 means 100-1 and we get 99, which is approximately 100. hence (10^160 – 1) would remain as 10^160.
and 10^20 * 10^160 = 10^180. Answer is B.
Answer: (B) 10^180
Question: The maitre 'd at an expensive Manhattan restaurant has noticed that 60% of the couples order dessert and coffee. However, 20% of the couples who order dessert don't order coffee. What is the probability Y that the next couple the maitre 'd seats will not order dessert?
(A)  20%
(B)  25%
(C)  40%
(D)  60%
(E)  75%
Rationale: could you use a venn diagram and just go with the number 100.
60 people order dessert and coffee... which is the union of D and C.
Y=2/10 of D aren't in D U C = so 8/10 of D are in DUC which means =60 =8/10D. So D in total=75, and 15 D's aren't in D union C. which means 25 people are in C only + Neither.
B 25%
Answer: (B)  25%
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 10 seconds. If the speed of the train is 72 km/hr, what is the length of the platform?
(A) 338
(B) 240
(C) 520
(D) 267
(E) 191
Rationale: Speed = (72 * 5/18) m/sec = 20 m/sec. Length of the train = (20 x 10)m = 200 m. Let the length of the platform be x meters. Then, (x + 200)/36 = 20 ==> x + 200 = 720 ==> x = 520 m.
Answer: C
Answer: (C) 520
Question: A grocer stacked oranges in a pile. The bottom layer was rectangular with 3 rows of 7 oranges each. In the second layer from the bottom, each orange rested on 4 oranges from the bottom layer, and in the third layer, each orange rested on 4 oranges from the second layer. Which of the following is the maximum number of oranges that could have been in the third layer?
(A)  5
(B)  4
(C)  3
(D)  2
(E)  1
Rationale: Bottom Layer = 7 x 3 = 21
IInd Layer = (7-1) x (3-1) = 12
IIIrd Layer = (6-1) x (2-1) = 5
Answer = 5 = A
Answer: (A)  5
Question: Best friends Sprite and Icey have are playing a game of marbles. They invite 2 of their friends to play with them. There are 36 marbles in the bag. If all 4 people are playing, how many marbles does each person get?
(A) 3
(B) 9
(C) 5
(D) 6
(E) 7
Rationale: Answer= B
36 / 4 = 9
Answer= B
Answer: (B) 9
Question: If 5^r is a factor of 30!, which of the following is the maximum possible value of r?
(A) 4
(B) 5
(C) 6
(D) 7
(E) 8
Rationale: 5^r is a factor of 30! We need the maximum value of r
Or in other words, we need the maximum power of 5 in 30!
Powers of 5 in 30! = [30/5] + [30/25] = 7, where [x] is the integral part of x
Other way is to calculate the number of 5's in 30!
In the multiplication upto 30, we will encounter: 5, 10, 15, 20,25, 30
Each of 5, 10, 15, 20, 30 contain one power of 5
25 contains 2 powers of 5.
Hence total powers of 5 in 30!= 5 + 2 = 7
Correct option: D
Answer: (D) 7
Question: In a 1000 m race, A beats B by 50 m and B beats C by 100 m. In the same race, by how many meters does A beat C?
(A) 145
(B) 266
(C) 276
(D) 027
(E) 266
Rationale: By the time A covers 1000 m, B covers (1000 - 50) = 950 m.
By the time B covers 1000 m, C covers (1000 - 100) = 900 m.
So, the ratio of speeds of A and C =
1000/950 * 1000/900 = 1000/855 So, by the time A covers 1000 m, C covers 855 m.
So in 1000 m race A beats C by 1000 - 855 = 145 m.
Answer: A
Answer: (A) 145
Question: In how many ways can you line up 7 wrestlers in a row if one of them, The Undertaker, cannot be in the middle or at the either end?
(A) 1,570
(B) 2,880
(C) 90
(D) 192
(E) 5,300
Rationale: Since The Undertaker cannot be placed in the middle or at either end (3 spots), then he can choose 4 spots to sit. The remaining 6 apples can be placed in in 6! ways. Thus the # of arrangements is 4*6! = 2,880.
Answer: B.
Answer: (B) 2,880
Question: Benny goes to the market for buying some apples to be distributed between her nine kids equally.She takes 360 dollars with her .The cost of each apple is 4 dollars .How many apples does she buy to share them equally between her nine kids?
(A) 8
(B) 9
(C) 3
(D) 7
(E) 10
Rationale: cost of each apple = 4 dollars
Apples that Benny can buy with the amount she has=360/4 = 90.
Apples that each kid gets evenly = 90/9 =10 Apples.
So the answer is E=10
Answer: (E) 10
Question: What amount does an investor receive if the investor invests $3000 at 10% p.a. compound interest for two years, compounding done annually?
(A) $3420
(B) $3630
(C) $3870
(D) $4040
(E) $4220
Rationale: A = (1 + R/100)^n * P
(1.1)^2 * 5000 = 1.21 * 5000 = 3630
The answer is B.
Answer: (B) $3630
Question: Will must choose a 2-character computer password, consisting of 1 letter from the alphabet and 1 distinct digits, in any order.From how many different passwords can Will choose?
(A) 520
(B) 1560
(C) 4,680
(D) 7,020
(E) 14,040
Rationale: 26C1*10C1 = 260
=> 260 * 2 ! = 520
Option E is correct answer...but OA is A.
Answer: (A) 520
Question: A train running at a speed of 60 kmph crosses a pole in 6 seconds.What is the length of the train?
(A) 120 m
(B) 180 m
(C) 100 m
(D) 150 m
(E) 160 m
Rationale: 60 kmph=50/3 m/sec
50/3*6=100 m
ANSWER:C
Answer: (C) 100 m
Question: P is able to do a piece of work in 10 days and Q can do the same work in 12 days. If they can work together for 5 days, what is the fraction of work left?
(A) 7/12
(B) 5/12
(C) 1/12
(D) 3/12
(E) 1/2
Rationale: Explanation :
Amount of work P can do in 1 day = 1/10
Amount of work Q can do in 1 day = 1/12
Amount of work P and Q can do in 1 day = 1/10+ 1/12 = 11/60
Amount of work P and Q can together do in 5 days = 5 × (11/60) =11/12
Fraction of work left = 1 – 11/12= 1/12
Answer : Option C
Answer: (C) 1/12
Question: Two equilateral triangles of side 12cm are placed one on top of another, such that a 6 pointed star is formed .if the six verticals lie on a circle what is the area of the circle not enclosed by the star ?
(A) 68
(B) 83
(C) 57
(D) 61
(E) 62
Rationale: area of star = √3/4 * (12)^2 + 3* √3/4 *(12/3)^2 = 48√3
if r be radius of circle then r=6/cos30 => r=12/√3 => r^2=48
area of circle = pi*48
area of the circle not enclosed by the star = 48*pi - 48√3 =48(3.14-1.732)= 68(approax)
ANSWER:A
Answer: (A) 68
Question: Find the odd man out
253, 136, 352, 329, 631, 244
(A) 329
(B) 136
(C) 352
(D) 631
(E) 531
Rationale: The sum all three digits comes to 10 except 329
ANSWER:A
Answer: (A) 329
Question: A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
(A) 12 days
(B) 15 days
(C) 18 days
(D) 20 days
(E) 22 days
Rationale: A’s two day’s work = 2/20 = 1/10
(A + B + C)’s one day’s work = 1/20 + 1/30 + 1/60 = 6/60 = 1/10
Work done in 3 days = (1/10 + 1/10) = 1/5
Now, 1/5 work is done in 3 days
Therefore, Whole work will be done in (3 x 5) = 15 days.
ANSWER:C
Answer: (C) 18 days
Question: The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
(A) 4years
(B) 5years
(C) 6years
(D) 7years
(E) 8years
Rationale: Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.
Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50
5x = 20
x = 4.
Age of the youngest child = x = 4 years.
answer :A
Answer: (A) 4years
Question: A tradesman is marketing his goods 20% above the cost price of the goods. He gives 10% discount on cash payment, find his gain percent.
(A) 12%
(B) 8%
(C) 15%
(D) 18%
(E) None of these
Rationale: Let the C.P. of the goods be 100
⇒ Marked price of the goods = 120
Discount = 10% ⇒ S.P. is 90% of 120 = 108
∴ Gain = (108 – 100) i.e. 8%.
Answer B
Answer: (B) 8%
Question: A teacher gave the same test to three history classes: A, B, and C. The average (arithmetic mean) scores for the three classes were 65, 90, and 77, respectively. The ratio of the numbers of students in each class who took the test was 4 to 6 to 5, respectively. What was the average score for the three classes combined?
(A) 74
(B) 75
(C) 76
(D) 77
(E) 79
Rationale: ratio is 4:6:5 , numbers are 4x, 6x, 5x
total scores of each class is (65*4x + 6x * 90 + 77*5x) = 260x+540x+385x = 1185x
total number of students = 15x
average = 1185x/15x = 79
E is the answer
Answer: (E) 79
Question: The average weight of 10 students decreases by 6 kg when one of them weighing 120 kg is replaced by a new student. The weight of the student is
(A) 62 kg
(B) 60 kg
(C) 70 kg
(D) 72 kg
(E) None of these
Rationale: Explanation :
Let the weight of student be x kg.
Given, Difference in average weight = 6 kg
=> (120-x)/10 = 6
=> x = 60
Answer : B
Answer: (B) 60 kg
Question: At milk factory, each employee working the second shift produced 2/3 as many widgets as each employee working the first shift. If the first shift has 3/4 as many employees, what fraction of the total widgets did the second shift produce?
(A) 8/17
(B) 1/2
(C) 8/9
(D) 9/8
(E) 17/8
Rationale: At milk factory, Let the first shift have 3 employee and each produce 3 widgets, so the total number of widgets produced by the first shift is 3*3=9;
Then the second shift would have 4 employees and each second shift employee would produce 3*2/3=2 widgets, so the total number of widgets produced by the second shift employees would be 4*2=8;
The ratio of the second shift production to the total is 8/(9+8)=8/17.
Answer: A.
Answer: (A) 8/17
Question: The price of a jacket is reduced by 10%. During a special sale the price of the jacket is reduced another 30%. By approximately what percent must the price of the jacket now be increased in order to restore it to its original amount?
(A) 32.5
(B) 58.7
(C) 48
(D) 65
(E) 67.5
Rationale: 1) Let the price of jacket initially be $100.
2) Then it is decreased by 10% , therefore bringing down the price to $90.
3) Again it is further discounted by 30%, therefore bringing down the price to $63.
4) Now 67.5 has to be added byX %in order to equal the original price.
63 + ( X% ) 63 = 100.
Solving this eq for X, we get X = 58.7
Ans is B
Answer: (B) 58.7
Question: An author received $0.80 in royalties for each of the first 100,000 copies of her book sold, and $0.80 in royalties for each additional copy sold. If she received a total of $260,000 in royalties, how many copies of her book were sold?
(A) 130,000
(B) 300,000
(C) 325,000
(D) 400,000
(E) 420,000
Rationale: Total royalties for first 100.000 books = .8*100,000= 80,000
Total royalties for the rest of the books = 260,000-80,000 = 180,000
Remaining books = 180,000/0.8 = 225,000
Total books = 225,000+100,000 = 325,000 Answer C
Answer: (C) 325,000
Question: If P represents the product of the first 16 positive integers, then P is not a
multiple of:
(A) a) 99
(B) b) 84
(C) c) 133
(D) d) 65
(E) e) 57
Rationale: a) 99 = 9*11
b) 84 = 4*7*3
c) 133 =19*7
d) 65 = 5*13
e) 57 =19*3
since 19 is not there in first 15 positive numbers it is the only possibility
C
Answer: (C) c) 133
Question: A person sold two cows each for Rs.9900. If he gained 10% on one and lost 20% on the other, then which of the following is true ?
(A) He lost Rs. 200
(B) He gained Rs. 200
(C) Neither he gained nor lost
(D) None of the above
(E) He gained Rs. 300
Rationale: Explanation:
In first he got Rs. 990
But in second he lost Rs. 1980
So he lost Rs. 990.
ANSWER IS D
Answer: (D) None of the above
Question: What is the average of xx, 2x2x, and 66?
(A) x+2x
(B) x+2
(C) x+2x+2
(D) 2x+2
(E) 2x
Rationale: By the definition of an average, we get:
x+2x+63=3x+63x+2x+63=3x+63
=3(x+2)3=x+2.=3(x+2)3=x+2.
Hence, the answer is x+2x+2 or Option C
Answer: (C) x+2x+2
Question: A teacher of 6 students takes 2 of his students at a time to a zoo as often as he can, without taking the same pair of children together more than once. How many times does the teacher go to the zoo?
(A) 10
(B) 12
(C) 15
(D) 20
(E) 30
Rationale: Two students can be selected from 6 in 6C2 =15 ways.
Therefore, the teacher goes to the zoo 15 times.
Option C is answer
Answer: (C) 15
Question: What percent of 60 is 90?
(A) 133 1⁄3
(B) 75
(C) 150
(D) 33 1⁄3
(E) 25
Rationale: To find out the % of 90 in 60
Do 90/60 = 150%
Answer C)
Answer: (C) 150
Question: In a bread recipe, the ratio of water to flour is 13 to 20. There is 168 g more flour than water. How much flour does the recipe call for?
(A) 400 g
(B) 440 g
(C) 480 g
(D) 510 g
(E) 525 g
Rationale: Let x equal the amount of water, and y equal the amount of flour.
We know that x = 13/20y.
We also know that x = y-168.
So we can simplify:
y-168 = 13/20y
So to isolate y, we get:
7/20y = 168
And to solve for y:
y = 480
Answer: C
Answer: (C) 480 g
Question: Five persons - A, B, C, D and E are being compared in weight and height. The second heaviest person. D is the shortest. A is the 2nd tallest and shorter than E, The heaviest person is the third tallest person. There is only one person shorter than B, who is lighter than E and A respectively. What is the position of A in height and weight respectively?
(A) 2nd,4th
(B) 4th,3rd
(C) 2nd,1st
(D) 5th,3rd
(E) 2nd,5th
Rationale: Explanation:
A is the second tallest person. There is only one person shorter than B. So, B is the fourth tallest person. D is the shortest and second heaviest.
A is shorter than E. So, the third tallest person is C. Who is the heaviest person. B is lighter than E and A respectively. So, the final arrangement is as follows.
A is the second tallest and the fourth heaviest person.
ANSWER IS A
Answer: (A) 2nd,4th
Question: I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
(A) Rs.28
(B) Rs.280
(C) Rs.140
(D) Rs.70
(E) Rs.15
Rationale: x*(85/100) = (480 - x)119/100
x = 280
Answer: B
Answer: (B) Rs.280
Question: Evaluate combination
100C98=100!/(98)!(2)!
(A) 4950
(B) 1510
(C) 4170
(D) 3170
(E) None of these
Rationale: Explanation:
nCr=n!/(r)!(n−r)!
100C98=100!/(98)!(2)!
=100∗99∗98!/(98)!(2)!
=100∗99/2∗1
=100∗99/2∗1=4950
Option A
Answer: (A) 4950
Question: A certain company expects quarterly earnings of $0.80 per share of stock, half of which will be distributed as dividends to shareholders while the rest will be used for research and development. If earnings are greater than expected , shareholders will receive an additional $0.04 per share for each additional $0.10 of per share earnings. If quarterly earnings are $1.10 per share, what will be the dividend paid to a person who owns 300 shares of the company's stock?
(A) $92
(B) $96
(C) $156
(D) $120
(E) $240
Rationale: EPS Actual> EPS expected.
each gets and additional .12 per share.
Thus .52*300 --> $156
answer is C
Answer: (C) $156
Question: If (1 – 1.25)N = 2, then N =
(A)  −400
(B)  −140
(C)  −8
(D)  4
(E)  400
Rationale: (1 – 1.25)N = 2
Simplify to get: -0.25N = 2
Rewrite as (-1/4)N = 2
Multiply both sides by -4 to get: N = -8
Answer: C
Answer: (C)  −8
Question: During the second quarter of 1984, a total of 2,976,000 domestic cars were sold. If this was 18% greater than the number sold during the first quarter of 1984, how many were sold during the first quarter ?
(A) 714,240
(B) 2,261,760
(C) 2,522,033
(D) 3,690,240
(E) 3,915,790
Rationale: Let number of cars sold in 1st quarter = x
Number of cars sold in 2nd quarter = 18% greater than the number sold during the first quarter = (1 + 18/100)x = 1.18 x
1.18 x = 2,976,000
=> x = 2,522,033
So, answer will be C
Answer: (C) 2,522,033
Question: John Traveled from point A to B in 4 merter per sec and from B to A in 6 meter per sec. What is his average speed?
(A) 4.6m/s
(B) 4.8m/s
(C) 5.2m/s
(D) 5.4m/s
(E) 5.8m/s
Rationale: Since the distance traveled is same, we can apply direct formula= 2XS1XS2/(S1+S2)
2X4X6/10= 4.8. 'B' is the answer.
Answer: (B) 4.8m/s
Question: In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 172 votes. Find the total number of valid votes?
(A) 430
(B) 287
(C) 267
(D) 262
(E) 927
Rationale: Let the total number of valid votes be x.
70% of x = 70/100 * x = 7x/10
Number of votes secured by the other candidate
= x - 7x/100 = 3x/10
Given, 7x/10 - 3x/10
= 172 => 4x/10 = 172
=> 4x = 1720 => x
= 430.
Answer:A
Answer: (A) 430
Question: A man can row upstream at 8 kmph and downstream at 13 kmph. The speed of the stream is
(A) 2.5 km/hr
(B) 4.2 km/hr
(C) 5 km/hr
(D) 10.5 km/hr
(E) None
Rationale: Solution
Speed of stream	= 1 / 2 (13 - 8 )kmph
= 1/2 x 5
=5 /2
= 2.5
Answer A
Answer: (A) 2.5 km/hr
Question: What is 120% of 13/24 of 840?
(A) 436
(B) 478
(C) 512
(D) 546
(E) 620
Rationale: 120% * 13/24 * 360 = 1.2 * 13 * 35 = 546
The answer is D.
Answer: (D) 546
Question: There are 81 people in a certain community who belong to the local golf club, tennis club or both clubs. If twice as many people belong to the tennis club as belong to the golf club, what could be the number of people who belong to both clubs?
(A) 4
(B) 7
(C) 27
(D) 21
(E) 37
Rationale: let's find the range of Both and hence the range of x. Minimum value of Both: Say there is no overlap in the two sets. 81 = x + 2xx = 27In this case Both = 0 Maximum value of Both: Say there is maximum overlap between the two sets. One set has x so it could be a subset of the set 2x.81 = 2xBut x cannot be a decimal so (x-1) could be the overlap (= Both) and there could be 1 in only the Golf club.81 = 2 x + x - (x - 1)x = 40In this case Both = 40 - 1 = 39 So Both lies between 0 and 39 Only option (E) satisfies this condition. ANSWER:E
Answer: (E) 37
Question: In a mixture of 60 liters, the ratio of milk and water is 2:1. What amount of water must be added to make the ratio of milk and water as 1:2?
(A) 65 liters
(B) 68 liters
(C) 60 liters
(D) 26 liters
(E) 27 liters
Rationale: 2:1 --- 60
1:2
2:4
---------------
3
3 ----------- 60
3 ----------- ? => 60 liters
Answer: C
Answer: (C) 60 liters
Question: Pavan travelled for 11 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan.
(A) 240 km
(B) 225 km
(C) 452 km
(D) 300 km
(E) 290 km
Rationale: D
300 km
Let the distance travelled be x km.
Total time = (x/2)/30 + (x/2)/25 = 11 => x/60 + x/50 = 11 => (5x + 6x)/300 = 11 => x = 300 km
Answer: (D) 300 km
Question: The average of 11 numbers is 10.7. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?
(A) 9
(B) 9.2
(C) 10
(D) 13.7
(E) 12
Rationale: Explanation:
1 to 11 = 11 * 10.7 = 117.7
1 to 6 = 6 * 10.5 = 63
6 to 11 = 6 * 11.4 = 68.4
63 + 68.4 = 131.4 – 117.7 = 13.7
6th number = 13.7
D)
Answer: (D) 13.7