mathewhe/aqua_rat huggingface dataset:
Question: At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but,not together?
(A) (5 + 5/11 )min past7
(B) (5 + 5/11 )min past6
(C) (5 + 5/11 )min past2
(D) (5 + 5/11 )min past1
(E) (5 + 5/11 )min past8
Rationale: When the hands of the clock are in the same straight line but not together, they are 30 minute spaces apart.
At 7 o'clock, they are 25 min. spaces apart.
Minute hand will have to gain only 5 min. spaces.
55 min. spaces are gained in 60 min.
5 min spaces are gained in min = min
so, Required time = min past 7
Answer: A
Answer: (A) (5 + 5/11 )min past7
Question: There are 42 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) 1) 4
(B) 2) 7
(C) 3) 12
(D) 4) 21
(E) 5) 27
Rationale: x -> Golf Club
2x -> Tennis Club
y -> both
x+2x-y = 42
3x - y =42
multiples of 3 greater than 42
45
48
51
54-12=42
IMO (C)
Answer: (C) 3) 12
Question: A fruit seller had some oranges. He sells 40% oranges and still has 300 oranges. How many oranges he had originally?
(A) 420
(B) 700
(C) 220
(D) 500
(E) None of these
Rationale: Explanation :
He sells 40% of oranges and still there are 300 oranges remaining
=> 60% of oranges = 300
⇒ (60 × Total Oranges)/100 = 300
⇒ Total Oranges/100 = 5
⇒ Total Oranges = 5 × 100 = 500
Answer : Option D
Answer: (D) 500
Question: In May Mrs Lee's earnings were 50 percent of the Lee family's total income. In June Mrs Lee earned 20 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Lee's earnings were approximately what percent of the Lee family's total income ?
(A) 55
(B) 56
(C) 34
(D) 78
(E) 23
Rationale: Lets say the Family Income is 100
In May, lee earned 50Family income is 50
In june, Lee earned 20% more than May, so it is (50+20*50/100 = 60)
Family Income is same 50
In June Lee's Income percent is 60*100/110 ~ 55
Ans is A
Answer: (A) 55
Question: A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age?
(A) 2288
(B) 277
(C) 800
(D) 2878
(E) 211
Rationale: 25 = E/(1000 - E) * 100
1000 - E = 4E
1000 = 5E => E = 200
1000 - 200 = 800.Answer: C
Answer: (C) 800
Question: If a : b = 5 : 9 and b : c = 4: 7, find a : b : c
(A) 63:36:20
(B) 36:20:63
(C) 20:63:36
(D) 20:36:63
(E) None of them
Rationale: a:b=5:9 and b:c=4:7= (4X9/4): (7x9/4) = 9:63/4
a:b:c = 5:9:63/4 =20:36:63.
Answer is D.
Answer: (D) 20:36:63
Question: The ratio of the ages of Anil and his son at present is 7 : 3. Six years hence, the ratio of the ages of the Anil's wife and the son will be 2 : 1. Find the ratio of the present ages of Anil and his wife?
(A) 3:2
(B) 4:1
(C) 3:2
(D) Cannot be determined
(E) None of these
Rationale: Answer: Option D
Explanation:
Let the present ages of Anil and his son be 7x and 3x years respectively.
Let the present age of the son's mother be m years.
(m + 6) / (3x + 6) = 2/1
m + 6 = 6x + 12 => m = 6x + 6
Ratio of the present ages of Anil and the son's mother = 7x / (6x + 6).
This cannot be found uniquely.
Answer:D
Answer: (D) Cannot be determined
Question: There are 50 girls in a dance group in a private school. 30% of them dance hip hop and 80% dance ballet. How many of them dance both hip hop or ballet?
(A) 5
(B) 10
(C) 15
(D) 20
(E) 25
Rationale: The total number of girls in the class is n = 50.
The number of girls dancing hop hop is 30% of it, thus
n (A)=30/100×50=30/2=15.
The number of girls dancing ballet is 80%, thus
n (B)=80/100×50=80/2=40.
In order to calculate the number of girls dancing both hip hop and ballet we can use the following equation:
n (AnB)=n (A)+n (B) -n =15+40-50=5.
So, 5 girls in this dance class dance both hip hop and ballet.
ANSWER: A
Answer: (A) 5
Question: If 40% of a number is 24, then the number is
(A) number is 60
(B) number is 70
(C) number is 90
(D) number is 80
(E) None of these
Rationale: Solution:
Let "a" be the number we seek. We get
40% × a = 24
2 × 40% × a = 2 × 24 = 48
80% × a = 48
10% × a = 48 : 8 = 6
100% × a = 6 × 10 = 60
a = 60
Answer A
Answer: (A) number is 60
Question: A worker makes a toy in every 3h. If he works for 150h, then how many toys will he make ?
(A) 40
(B) 54
(C) 45
(D) 50
(E) None
Rationale: No. of toys = 150/3 = 50
Answer : D
Answer: (D) 50
Question: If a tap could fill entire tank in 18 hrs due to leakage, then in how much time
tank can be emptied by leakage if tap can fill entire tank in 15 hrs without leakage
(A) 12hrs
(B) 24hrs
(C) 36hrs
(D) 48hrs
(E) 90hrs
Rationale: time take to fill[withleakage] =18hrs so workdone in 1hr=1/18
time tkae to fill[without leakage]=15hrs so workdone in 1hr=1/15
if u subtract both u'll get time taken by leakage to empty...
1/18-1/15=1/90 so 90hrs
ANSWER:E
Answer: (E) 90hrs
Question: Before January, the price of a dress was D and the price of a matching pair of shoes was H. In January, the price of the dress increased by 40% and the price of the shoes increased by 50%. In March, Roberta bought both items with a 30% discount. If D = 2H, which of the following represents the amount that Roberta paid?
(A) D + 40
(B) D + H – 1
(C) D + 2H
(D) 3.01H
(E) 1.21D
Rationale: before Discount price was: 1.4D+1.5H
After Discount: 1.4D +1.5H-.42D-.45H
substitute D=2H
final value: 3.01H
Ans Is D :
Answer: (D) 3.01H
Question: The amount of an investment will double in approximately 70/ p years, where p is the percent interest, compounded annually. If Thelma invests $ 40,000 in a long-term CD that pays 5 percent interest, compounded annually, what will be the approximate total value of the investment when Thelma is ready to retire 56 years later?
(A) $ 280,000
(B) $ 320,000
(C) $ 360,000
(D) $ 450,000
(E) $ 640,000
Rationale: The amount of an investment will double in approximately 70/ p years, where p is the percent interest, compounded annually. If Thelma invests $ 40,000 in a long-term CD that pays 5 percent interest, compounded annually, what will be the approximate total value of the investment when Thelma is ready to retire 42 years later?
The investment gets doubled in 70/p years. Therefore, the investment gets doubled in 70/5= every 14 years. After 56 years, the investment will get doubled 56/14= 4 times.
So the amount invested will get doubled thrice.
So, 40000 *2^4 = 640000
Hence, the answer is E.
Answer: (E) $ 640,000
Question: Jar A has 6% more marbles than Jar B . What percent of marbles from Jar A need to be moved into Jar B so that both jars have equal marbles?
(A) 2.8%
(B) 3.0%
(C) 3.2%
(D) 3.4%
(E) 3.6%
Rationale: An easy way to solve this question is by number plugging. Assume there are 100 marbles in Jar B then in Jar A there will be 106 marbles. Now, for both jars to have equal marbles we should move 3 marbles from A to B, which is 3/106=~2.8% of A.
Answer: A.
Answer: (A) 2.8%
Question: Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is:
(A) Rs 4000
(B) Rs 3000
(C) Rs 5000
(D) Rs 4500
(E) Rs 6000
Rationale: investment 9% ==>x
investment in 10% stock = (9800-x)
9/75xx=10/80x(9800-x)
3x/25=9800-x/8
24x=9800x25-25x
49x=9800 x 25
x=5000
ANSWER C
Answer: (C) Rs 5000
Question: The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
(A) 178
(B) 169
(C) 245
(D) 178
(E) 119
Rationale: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (130 + X)/30
= 25/2 ==> 2(130 + X) = 750 ==> X
= 245 m.
Answer: C
Answer: (C) 245
Question: What should come in place of the question mark (?) in the following equation?
5978 + 6134 + 7014 = ?
(A) 19226
(B) 16226
(C) 19216
(D) 19126
(E) None of these
Rationale: ? = 5978 + 6134 + 7014 = 19126
Answer D
Answer: (D) 19126
Question: If the numbers 20,15,11,17,21,24,10,14 have average 16.5, then what is the average of the numbers if each given numbers is multiplied by 2?
(A) 13
(B) 53
(C) 43
(D) 23
(E) 33
Rationale: Required Average is nothing but the two times of the old average =33 Answer : E
Answer: (E) 33
Question: A driver just filled the car's gas tank with 54 liters of gasohol, a mixture consisting of 5% ethanol and 95% gasoline. If the car runs best on a mixture consisting of 10% ethanol and 90% gasoline, how many liters of ethanol must be added into the gas tank for the car to achieve optimum performance?
(A) 1.5
(B) 2
(C) 2.4
(D) 2.7
(E) 3
Rationale: Let x be the number of liters of ethanol added to the gas tank.
0.05(54) + x = 0.1(54+x)
0.9x = 5.4 - 2.7 = 2.7
x = 3 liters
The answer is E.
Answer: (E) 3
Question: Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 30 minutes. The waste pipe can empty the full cistern in?
(A) 8 min
(B) 7.5 min
(C) 5 min
(D) 9 min
(E) 4 min
Rationale: 1/10 + 1/15 - 1/x
= 1/30
x = 7.5
Answer: B
Answer: (B) 7.5 min
Question: A certain company employs 7 senior officers and 4 junior officers. If a committee is to be created, that is made up of 3 senior officers and 1 junior officer, how many different committee are possible?
(A) 8
(B) 24
(C) 58
(D) 140
(E) 210
Rationale: Number of ways to select 3 senior officers from 7 of them = 7C3 = 35 ways
Next we can determine the number of ways to select 1 junior officer.
number of ways to select 1 junior officer from 4 of them = 4C1 = 4 ways
Thus the number of ways to select 3 senior officers and 1 junior officer is 35 x 4 = 140 ways.
Answer: D
Answer: (D) 140
Question: Ajay can walk 10km in 1 hour. In how many hours he can walk 50km?
(A) 5hrs
(B) 10hrs
(C) 15hrs
(D) 20hrs
(E) 30hrs
Rationale: 1 hour he walk 10km
he walk 50km in = 50/10 * 1 = 5hours
Answer is A
Answer: (A) 5hrs
Question: The radius of a semi circle is 6.5 cm then its perimeter is?
(A) 32.7
(B) 32.4
(C) 33.4
(D) 32.8
(E) 32.1
Rationale: 36/7 r = 6.5 = 33.4
Answer:C
Answer: (C) 33.4
Question: The average of 6 no.'s is 3.95. The average of 2 of them is 3.6, while the average of the other 2 is 3.85. What is the average of the remaining 2 no's?
(A) 4.2
(B) 4.4
(C) 4.6
(D) 5.6
(E) 5.7
Rationale: Sum of the remaining two numbers = (3.95 * 6) - [(3.6 * 2) + (3.85 * 2)]
= 8.8.
Required average = (8.8 / 2) = 4.4.
B
Answer: (B) 4.4
Question: A 300 meter long train crosses a platform in 30 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
(A) 227
(B) 266
(C) 230
(D) 288
(E) 200
Rationale: Speed = [300 / 18] m/sec = 50/3 m/sec.
Let the length of the platform be x meters.
Then, x + 300 / 30 = 50/3
3(x + 300) = 1500 è x = 200m.
Answer: E
Answer: (E) 200
Question: 657.987 - ? + 56.84 = 324.943
(A) A)899.015
(B) B)752.804
(C) C)389.884
(D) D)629.906
(E) of these
Rationale: Explanation:
389.884
Answer: Option C
Answer: (C) C)389.884
Question: The G.C.D. of 1.08, 0.36 and 0.7 is:
(A) 0.02
(B) 0.9
(C) 0.18
(D) 0.108
(E) 0.118
Rationale: Given numbers are 1.08, 0.36 and 0.70. H.C.F. of 108, 36 and 70 is 18,
H.C.F. of given numbers = 0.02.
Answer: Option A
Answer: (A) 0.02
Question: Find the odd man out. 2, 5, 10, 17, 26, 38, 50, 65
(A) 50
(B) 38
(C) 26
(D) 65
(E) 50
Rationale: Explanation :
The pattern is (1×1)+1 , (2×2)+1 , (3×3)+1 , (4×4)+1 , (5×5)+1 , (6×6)+1 , (7×7)+1 , (8×8)+1
Hence, in place of 38, the right number was (6×6)+1 = 37
Answer : Option B
Answer: (B) 38
Question: There are two taps, which are used to fill the tank and one tap to empty the tank. First tap fill the tank in 10 min., while the second takes quarter of an hour to fill the tank if both are operated independently.Third tap is capable of emptying the tank in seven and a half minutes. If all the taps are opened simultaneously how long (if ever) will it take for the tank to get filled completely?
(A) 10 minutes
(B) 20 minutes
(C) 30 minutes
(D) 40 minutes
(E) 50 minutes
Rationale: Pipe A fills the tank in 10 min
Pipe B fills the tank in 15 min
Pipe C empties the tank in 15/2 min
If all the three opened simultaneously then in 1 min
1/10 + 1/15 - 2/15 of the tank will be filled
that means 1/30 th of the tank will be filled in 1 min
So it will take 30 minutes to fill the tank completely if all three pipes opened
ANSWER:C
Answer: (C) 30 minutes
Question: How many numbers between 100 and 714 are divisible by 2, 3, and 7 together?
(A) 112
(B) 77
(C) 267
(D) 15
(E) 99
Rationale: Explanation:
As the division is by 2, 3, 7 together, the numbers are to be divisible by: 2*3*7 = 42
The limits are 100 and 714
The first number divisible is 42*3 = 126
To find out the last number divisible by 42 within 714:
714/42 = 17
Hence, 42*14 = 714 is the last number divisible by 42 within 714
Hence, total numbers divisible by 2, 3, 7 together are (17 â€“ 2) = 15
ANSWER: D
Answer: (D) 15
Question: The population of Linterhast was 3,600 people in 1990 and 4,800 people in 1993. If the population growth rate per thousand is constant, then what will be the population in 1996?
(A) 6000
(B) 6400
(C) 7200
(D) 8000
(E) 9600
Rationale: This is a set rate problem. If the population grew by 1,200 people in the past three years, then it grew by 33 percent:
4800−3600/3600=1200/3600=1/3≈33
Therefore in the next three years the population will grow at the same rate of 33% because the growth rate has been constant.
4,800+1/3∗4,800=4,800+1,600=6,400
Another approach is to backsolve by comparing the ratio of each answer to 4,800. For example, the ratio of 7,200 to 4,800 is not the same as the ratio of 4,800 to 3,600.
Answer: B
Answer: (B) 6400
Question: A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
(A) 100
(B) 110
(C) 120
(D) 121
(E) 123
Rationale: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec = 20 m/sec.
Length of the train = 20 * 6 = 120 m.
Answer: Option C
Answer: (C) 120
Question: A certain office supply store stocks 2 sizes of self-stick notepads, each in 8 colors. The store packs the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?
(A) 6
(B) 8
(C) 16
(D) 124
(E) 128
Rationale: Notepads of the same color = 8 (we have 8 colors). As we have two sizes then total for the same color=8*2=16
Notepads of the different colors = 8C3=56 (we should choose 3 different colors out of 8). As we have two sizes then total for the different color=56*2=112
Total=112+16=128
Answer: E.
Answer: (E) 128
Question: An investment yields an interest payment of $231 each month. If the simple annual interest rate is 9%, what is the amount of the investment?
(A) $28,300
(B) $30,800
(C) $31,300
(D) $32,500
(E) $35,100
Rationale: Let the principal amount = P
Simple annual interest = 9%
Simple monthly interest = (9/12) = (3/4)%
(3/4)*(P/100) = 230
=>P = (231 *4 * 10^2 )/3
= 77*4*10^2
= 308 * 10^2=30800
Answer B
Answer: (B) $30,800
Question: A case contains C cartons. Each carton contains B boxes, and each box contains 200 paper clips. How many paper clips are contained in 2 cases?
(A) 200BC
(B) 200B/C
(C) 400BC
(D) 400B/C
(E) 400/BC
Rationale: 2 cases * C cartons/case * B boxes/carton * 200 clips/box = 400BC paper clips
The answer is C.
Answer: (C) 400BC
Question: Which of the following data sets has the second largest standard deviation?
(A)  {1, 2, 3, 4, 5}
(B)  {2, 3, 3, 3, 4}
(C)  {2, 2, 2, 4, 5}
(D)  {0, 2, 3, 4, 6}
(E)  {-1, 1, 3, 5, 7}
Rationale: since we are asked to compare 'standard deviation', we should look out for similarity between all the sets..
The SIMILARITY is - the SUM of all sets is equal =15..
and hence average = 15/5 = 3...
Now we have 5 different sets which have AVG as 3, so we will look for the spread of the other elements of set around the AVERAGE..
clearly E has a range of 7-(-1) or 8, and has the highest standard deviation..
Next is D, which has a range of 6-0 or 6..
ans D
Answer: (D)  {0, 2, 3, 4, 6}
Question: If the number of boys in a class are 8 times the number of girls, which value can never be the total number of students?
(A) 42
(B) 45
(C) 41
(D) 40
(E) 39
Rationale: Let the number of girls = x and the number of boys = 8x
Then, total number of students = x + 8x = 9x
i.e., the total number of students must be a multiple of 9
From the given choices, 42 cannot be a multiple of 9.
Hence, 42 cannot be the total number of students.
Answer is A.
Answer: (A) 42
Question: A carpenter makes 5 bunk beds every day. A military school needs to organize a place to sleep for 143 soldiers. If there are 5 carpenters working on the job, how many whole days in advance should they receive the order and start working in order to finish the right number of beds assuming that each bunk- bed is used by two soldiers?
(A) 3.
(B) 4.
(C) 5.
(D) 6.
(E) 7.
Rationale: I believe it is C because if 1C makes 3 beds in 1 day then:
1C's rate = 3/1
So 5c's = 3/1 * 5 = 15/1 = 15 beds in a day.
Since we have 173 soldiers who need beds and bunk beds come in pairs, 72 is the least amount of beds needed.
Time = Amount / Rate
Time = 72 / (15/1) = 72/15, simplifying we get 72/15 = 24/5 = 4.9
So, in order for the carpenters to be able to finish they need 5 whole days. At first I made the mistake of thinking how many whole days it took them to finish (as in ignore the partial day) but the prompt clarifiesdays in advance, meaning how many days would they need to finish so even if they finish early, theyusedthat day.
C
Answer: (C) 5.
Question: A dishonest dealer professes to sell his goods at Cost Price but still gets 20% profit by using a false weight. What weight does he substitute for a kilogram?
(A) 833 1/7 grams
(B) 833 1/3 grams
(C) 833 8/3 grams
(D) 933 1/3 grams
(E) 833 1/4 grams
Rationale: If the cost price is Rs.100, then to get a profit of 20%, the selling price should be Rs.120.
If 120kg are to be sold, and the dealer gives only 100kg, to get a profit of 20%.
How many grams he has to give instead of one kilogram(1000 gm).
120 gm ------ 100 gm
1000 gm ------ ?
(1000 * 100)/120 = 2500/3 = 833 1/3 grams.
Answer:B
Answer: (B) 833 1/3 grams
Question: For how many integers pair (x,y) satisfies the result
(1/x)+((1/y)=1/14
(A) a) 12
(B) b) 6
(C) c) 10
(D) d) 16
(E) e) 18
Rationale: It seems that the accepted answer is wrong, according to WolframAlpha. The answer should be 28, which isn't even listed as a selectable answer.
E
Answer: (E) e) 18
Question: The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 44 with him, what was the average amount with the group before his joining the group?
(A) s.16
(B) s.14
(C) s.15
(D) s.22
(E) s.12
Rationale: Total members in the group = 7
Average amount = Rs. 20
Total amount with them = 7 * 20 = Rs. 140
One number has Rs. 44. So, the amount with remaining 6 people = 140 - 44 = Rs. 96
The average amount with them = 96/6 = Rs.16.
Answer:A
Answer: (A) s.16
Question: A student traveled 30 percent of the distance of the trip alone, continued another 40 miles with a friend, and then finished the last half of the trip alone. How many miles long was the trip?
(A) 120
(B) 140
(C) 160
(D) 180
(E) 200
Rationale: Let x be the total length of the trip.
0.3x + 40 miles + 0.5x = x
40 miles = 0.2x
x = 200 miles
The answer is E.
Answer: (E) 200
Question: Solution for 1.35+.123+.321
(A) 2.91
(B) 1.794
(C) 1.338
(D) 1.986
(E) 1.999
Rationale: 1.35+.123+.321=0
0=0-1.35-0.123-0.321
0=-1.794
answer :B
Answer: (B) 1.794
Question: By selling 24 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
(A) 16
(B) 7
(C) 6
(D) 4
(E) 9
Rationale: 80% --- 24
120% --- ?
80/120 * 24
= 16
Answer:A
Answer: (A) 16
Question: Solution X is 40% chemical A and 60% chemical B by volume. Solution Y is 50% chemical A and 50% chemical B by volume. If a mixture of X and Y is 47% chemical A, what percent of the mixture is Solution X?
(A) 15%
(B) 20%
(C) 25%
(D) 30%
(E) 35%
Rationale: The volume of the mixture be X+Y.
0.4X +0.5Y=0.47(X+Y)
X=3Y/7
X/(X+Y)=(3Y/7) / (10Y/7)=3/10=30%.
The answer is D.
Answer: (D) 30%
Question: A trader bought a car at 20% discount on its original price. He sold it at a 80% increase on the price he bought it. What percent of profit did he make on the original price?
(A) 18%
(B) 13%
(C) 12%
(D) 32%
(E) 44%
Rationale: Original price = 100
CP = 80
S = 80*(180/100) = 112
100 - 144= 44%
Answer: E
Answer: (E) 44%
Question: For what value of â€œkâ€ will the equation (2kx2 + 3kx +2)=0 have equal roots?
(A) 2/7
(B) 9/4
(C) 16/25
(D) 7/1
(E) 16/9
Rationale: for a 2nd degree equation ax2+bx_c=0 has equal roots the condition is b2-4ac =0
in the given equation
(3k)^2-4*2k*2=0
by solving this equation
we get k=0, k=16/9
ANSWER:E
Answer: (E) 16/9
Question: The closest approximation of Q=(69.28 × 0.004)/0.03 is
(A) 0.092
(B) 0.92
(C) 9.2
(D) 92
(E) 920
Rationale: Q=(69.28 × 0.004)/0.03
1. 0.004 = 4 × 10^(-3)
2. 0.03 = 3 × 10^(-2)
3. (a × b)/c = a × (b/c)
4. 0.004/0.03 = 4 × 10^(-3)/ (3 × 10^(-2)) = 4 × 10^( -3 - (-2))/3 = 4 × 10^(-1) / 3 = (4/3) × 10^(-1) = 1.333 × 10^(-1)
Therefore,
(69.28 × 0.004)/0.03 = 69.28 × (0.004/0.03) = 69.28 × 1.33 × 10^(-1) = 69.28 × 1.33/10 = 6.928*1.33
Now,
7 × 2 = 14
7 × 1 = 7
or better:
6.9 × 1 = 6.9
6.9 × 2 = 13.8
hence,
6.9 <6.928 × 1.33 < 13.8
9.2 is the only answer that satisfies this condition.C
Answer: (C) 9.2
Question: 1,2,2,4,8,32,?(mult)
(A) 2816
(B) 1816
(C) 2812
(D) 2817
(E) 6816
Rationale: Each number is the product of the previous two numbers, ie 8*32 = 2816.
Answer :A
Answer: (A) 2816
Question: The elevator in an eleven-story office building travels at the rate of one floor per 1/4 minute, which allows time for picking up and discharging passengers. At the main floor and at the top floor, the operator stops for 1 minute. How many complete trips will an operator make during a 5-hour period?
(A) 88
(B) 56
(C) 45
(D) 42
(E) 64
Rationale: Complete trip = 10 floors up and 10 floors down = 20 floors = 20*1/4 = 5 minutes plus 2 minutes = 7 minutes.
5 hour = 300 minutes.
In 300 minutes operator can make 300/7=42 trips.
Answer: D.
Answer: (D) 42
Question: man is 28 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
(A) 14years
(B) 26 years
(C) 17 years
(D) 18 years
(E) 22 years
Rationale: Let the son's present age be x years. Then, man's present age = (x + 20) years.
(x + 28) + 2 = 2(x + 2)
x + 30 = 2x + 4
x = 26.
answer :B
Answer: (B) 26 years
Question: Crew A can build a complete car in 20 minutes and Crew B can build a complete car in 25 minutes. If both crews work independently and start at the same time, what is the shortest amount of time R it could take for 10 cars to be complete?
(A) 111 1/9 minutes
(B) 115 2/5 minutes
(C) 116 minutes
(D) 120 minutes
(E) 125 minutes
Rationale: A builds 4 cars in 80 min
B builds 4 cars in 100 min
So A builds another car in another 20 min (i.e total 5 cars)
B builds another car in another 25 minutes (i.e, total 5 cars)
However, A can build another car in next 20 min (i.e total 6 cars)
So total time R= 125 min by B, which is > 120 min by A
B - 4 cars, A - 6 cars
Answer = D
Answer: (D) 120 minutes
Question: The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
(A) 235
(B) 240
(C) 245
(D) 250
(E) 255
Rationale: Speed = 45 * 5/18 = 25/2 m/sec.
Time = 30 sec
Let the length of bridge be x meters.
Then, (130 + x)/30 = 25/2
x = 245 m.
Answer: Option C
Answer: (C) 245
Question: R campers fished for 5 hours. If m of the campers caught 2 fish apiece and the rest caught a combined total of n fish, how many fish did the R campers catch per hour?
(A) 2m + n(R-m)
(B) (2m + n(R-m))/3
(C) (2m + n(m-R))/3
(D) (2m + n)/5
(E) (2m + n)/R
Rationale: m of the campers caught 2 fish apiece in 5 hours --> total fish caught by m campers = 2m;
The rest caught a combined total of n fish.
Total fish caught in 5 hours = 2m+n --> per hour (2m+n)/5.
Answer: D.
Answer: (D) (2m + n)/5