RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: If the average of 10,11,12,13,14,15,16,17,18 and x is 23, what is the value of x?
A.90
B.89
C.123
D.x=104
Answer: D.x=104
Explanation: Given (10+11+12+13+14+ 15+16+17+18+x)/10=23
126+x/10= 23
126+x=230
x=230-126
x=104
Answer is D
Question: If i equals the sum of the even integers from 2 to 224, inclusive, and k equals the sum of the even integers from 8 to 80, inclusive, what is the value of i - k?
A.11028
B.14172
C.14284
D.14015
Answer: A.11028
Explanation: Use following formulae for such problems:
Sum of evenly spaced integers = (# of integers)*(mean of integers)
# of integers = [(last - first)/2] + 1
Mean of integers = (last + first)/2
In above problem:
# of integers = [(224 - 2)/2] + 1= 112 and [(80-8)/2]+ 1 = 37
Mean of integers = (224 + 2)/2 = 113 and (80 + 8)/2 = 44
Sum of integers = (112*113) = 12656 and (37*44) = 1628
Thus their difference (i - k) = 12656 - 1628 = 11028
ANSWER:A
Question: A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400.
A.1909
B.1900
C.1908
D.1901
Answer: B.1900
Explanation: 65 * 6 : 84 * 5 : 100 * 3
26:28:20
C share = 74000 * 95/100 = 7030 * 20/74 => 1900
Answer: B
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.8 days
C.12 days
D.9 days
Answer: A.4 days
Explanation: 2/5 + (2 + x)/10
= 1 => x
= 4 days
Answer: A
Question: A palindrome is a number which reads the same when read forward as it it does when read backward. So, how many 5 digit palindromes are there?
A.720
B.800
C.890
D.900
Answer: D.900
Explanation: 5 digit palindrome would look like this : abcba.abcba.
Thus, the first digit can be filled in 9 ways(1-9), the second digit can be filled in 10 ways (0-9) and the 3rd digit can again be filled in 10 ways. The last 2 digits would just mirror the already selected digit. Thus, the no of ways : 9*10*10*1*1 = 900.
ANSWER:D.
Question: The side of a square is increased by 25% then how much % does its area increases?
A.56.75 %
B.56.25 %
C.56.75 %
D.57.25 %
Answer: B.56.25 %
Explanation: a = 100 a2 = 10000
a = 125 a2 = 15625
----------------
10000 --------- 5625
100 -------? => 56.25 %
Answer:B
Question: The cost of 3 kg of sugar is $15. What will the cost of 8 kg of sugar be?
A.20
B.40
C.80
D.160
Answer: B.40
Explanation: 3 kg costs $15
1 kg costs $5
8 kg costs $40
The answer is B.
Question: In how many different number of ways 10 boys and 3 girls can sit on a shopa which can accommodate 3 persons?
A.1800
B.1716
C.1617
D.2000
Answer: B.1716
Explanation: Option 'B'
13p3 = 13x12x11= 1716
Question: Tough and Tricky questions: Combinations.
Three contestants representing four different countries advance to the finals of a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?
A.6
B.9
C.12
D.16
Answer: B.9
Explanation: Four contestants representing four different countries advance to the finals of a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?
We have 2 slots to be filled using 3 contestants:3 options for slot1*3 option for slot2
= 3* 3
= 9
Ans. B) 9
Question: Double of Quarter of 5 percent written as a decimal is :
A.0.003
B.0.0005
C.0.025
D.0.005
Answer: C.0.025
Explanation: Explanation :
Solution: (2)*(1/4)*5% = 0.025
Answer : C
Question: When positive integer k is divided by 5, the remainder is 2. When k is divided by 6, the remainder is 5. If k is less than 42, what is the remainder when k is divided by 7?
A.5
B.3
C.6
D.7
Answer: B.3
Explanation: Cant think of a straight approach but here is how I solved it:
K is divided by 5 and remainder is 2. This means k = 5n + 2 (n is an integer)
so the possible values of K = {2, 7, 12, 17, 22, 27, 32, 37} (less than 42)
Secondly, if K is divided by 6, the remainder is 5 => k= 6m + 5
so the possible value set for k = {5, 11, 17, 23, 29,35,41} (less than 42)
17 is the only common number in both the sets. Hence k = 17
Answer : B
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 990 grams per kg, what is his percent?
A.1.01%
B.25%
C.22%
D.29%
Answer: A.1.01%
Explanation: 990 --- 10
100 --- ? => 1.01%
Answer:A
Question: 2/5 of the fish in an aquarium are red and 1/4 of the fish are brown. 1/2 of the red fish and 2/5 of the brown fish are male. If the rest of the fish in the aquarium are female, what is the probability that a fish randomly picked from the aquarium is male?
A.1/3
B.2/5
C.3/10
D.3/20
Answer: C.3/10
Explanation: 1/2*2/5 + 2/5*1/4 = 3/10
The answer is C.
Question: Five equal cubes, each of side 5 cm, are placed adjacent to each other. The volume of the new solid formed will be
A.125 cm3
B.625 cm3
C.15525cm3
D.1225cm3
Answer: B.625 cm3
Explanation: Solution
The new solid formed is a cuboid of length 25 cm, breadth 5 cm and height 5 cm
∴Volume = (25x5x5)cm3
‹=›625cm3
Answer B
Question: 7 men, 5 women and 8 children were given as assignment of distributing 2000 books to students in a school over a period of 3 days. All of them distributed books on the 1st day. One of the 2nd day 2 women and 3 children remained absent and on the 3rd day 3 men and 5 children remained absent. If the ratio of the no. of books distributed in a day by a man, a woman & a child was 5 : 4 : 2 respectively, a total of approximately how many books were distributed on the second day?
A.450
B.500
C.560
D.650
Answer: D.650
Explanation: Sol. Let the books distributed by man, a woman and a child be 5x, 4x and 2x respectively.
∴ No. of books distributed in 1st day
= 7×5x+5×4x+8×2x=71x
No. of books distributed in 1Ind day
=7×5x+3×4x+5×2x=57x
And no. of books distributed in IIIrd day
=4×5x+5×4x+3×2x=46x
71x + 57x + 46x = 2000, x = 2000/174
57x=2000/174×57=650
D
Question: What percent is 300 gm of 1 kg?
A.25%
B.40%
C.30%
D.8%
Answer: C.30%
Explanation: 1 kg = 1000 gm
300/1000 Ã— 100 = 30000/1000
=30 %
Answer is C
Question: Pipe A can fill a tank in 5 hr, pipe B in 10hr and pipe C in 30hr. If all the pipes are open in how many hours will tank be filled?
A.1hr
B.2hr
C.3hr
D.4hr
Answer: C.3hr
Explanation: Part filled by (A+B+C) in 1hour = 1/5 + 1/10 + 1/30 = 1/3
All the 3 pipes together will fill the tank in 3hours
Answer is C
Question: The average weight of a class of 24 students is 35 kg. if the weight of the teacher be included, the average rises by 400 g. the weight of the teacher is
A.45 kg
B.50 kg
C.53 kg
D.55 kg
Answer: A.45 kg
Explanation: Solution
Weight of the teacher = (35.4 × 25 - 35 × 24) kg = 45 kg. Answer A
Question: There are 6 boxes numbered 1, 2,3,4,5 and 6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball & the boxes containing green balls are consecutively numbered. The total no. of ways in which this can be done is?
A.18
B.20
C.21
D.23
Answer: C.21
Explanation: If only one of the boxes has a green ball, it can be any of the 6 boxes. So, this can be achieved in 6 ways.
If two of the boxes have green balls and then there are 5 consecutive sets of 2 boxes. 12, 23, 34, 45, 56.
Similarly, if 3 of the boxes have green balls, there will be 4 options.
If 4 boxes have green balls, there will be 3 options.
If 5 boxes have green balls, then there will be 2 options.
If all 6 boxes have green balls, then there will be just 1 options.
Total number of options = 6 + 5 + 4 + 3 + 2 + 1 = 21
C
Question: Three candidates contested an election and received 1136, 7636 and 16628 votes respectively. What percentage of the total votes did the winning candidate got?
A.65.4%
B.56%
C.57%
D.58%
Answer: A.65.4%
Explanation: Total number of votes polled = (1136 + 7636 + 16628) = 25400
So, Required percentage = 16628/25400 * 100 = 65.4%
ANSWER : A
Question: The average weight of 3 packets A, B and C is 84 kg. Another packet D added into the group and the average now becomes 80 kg. If another packet E, whose weight is 3 kg more than that of D, replaces A then the average weight of B, C, D and E becomes 79 kg. The weight of A is:
A.70 kg
B.72 kg
C.75 kg
D.80 kg
Answer: C.75 kg
Explanation: Explanation :
A+B+C = (84x3) = 252kg, A+B+C+D=(80x4) = 320kg.
D = (320 - 252) = 68 , E = (68+3) =7l.
B+C+D+E = (79x4)=316.
(A+B+C+D) -(B+C+D+E)=(320 - 316)kg = 4kg.
A - E = 4 = A = (4+E)=75kg
Answer : C
Question: The price of a T.V. set worth 20,000 is to paid in 20 instalments of 1000 each. If the rate of interest be 6% per annum, and the first instalment be paid at the time of purchase, then the value of the last instalment covering the interest as well will be :
A.1050
B.2050
C.3000
D.None of these
Answer: D.None of these
Explanation: Money paid in cash = 1000.
Balance payment = (20000 – 1000) = 19000.
Answer D
Question: if the ratio of two number is 6:7 and LCM of the number is 450 then what is the number.
A.11
B.20
C.25
D.30
Answer: A.11
Explanation: product of two no = lcm *hcf
6x*7x=450*x
x=11
ANSWER:A
Question: A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.500, find the original price per kg?
A.s.12.7
B.s.12.4
C.s.12.5
D.s.12.1
Answer: C.s.12.5
Explanation: 100*(20/100) = 20 --- 10
? --- 1 => Rs.2
500 --- 80
? --- 2 => Rs.12.5
Answer:C
Question: Mr X, a businessman, had income in the year 1995 such that he earned a profit of 20% on his investment in the business. In the year 1996 his investment was less by 3000 but still had the same income (Income = Investment + Profit) as that in 1995. Thus the per cent profit earned in 1996 increased by 6%. What was his investment in 1995?
A.100000
B.100500
C.63000
D.Data inadequate
Answer: C.63000
Explanation: Let the investment of X in 1995 be x.
∴ Profit = x⁄5
∴ Income = (x + x⁄5) = 6⁄5x
Investment of company X in 1996 would be (x – 3000) From the question,
(x - 3000) × 126⁄100 = 6⁄5x ⇒ x = 63000
Answer C
Question: A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 32.49, the number of the member is the group is:
A.57
B.67
C.77
D.87
Answer: A.57
Explanation: Explanation:
Money collected = (32.49 x 100) paise = 3249 paise.
∴ Number of members = √(3249) = 57.
Answer: A
Question: A certain company employs 9 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.336
Answer: D.336
Explanation: Number of ways to select 3 senior officers from 9 of them = 9C3 = 84 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 84 x 4 = 336 ways.
Answer: D
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is?
A.287
B.278
C.698
D.279
Answer: C.698
Explanation: S.I. for 1 year = (854 - 815)
= Rs. 39
S.I. for 3 years = 39 * 3
= Rs. 117
Principal = (815 - 117)
=Rs.698.
Answer: C
Question: A three digit number divisible by 7 becomes divisible by 3 when 16 is subtracted from it. The largest such number is :
A.994
B.981
C.963
D.951
Answer: A.994
Explanation: Out of all the 5 options, only 994 is NOT divisible by 3. All others are divisible
So Answer = A (No further calculation required)
Addition of any two non-divisible numbers by 3 gives the resultant divisible by 3
16 is non-divisible by 3; we are subtracting a number from that so that the resultant becomes divisible by 3
Applying the above rule,It means that the number which we are going to add should be non-divisible by 3
So comes the answer = 994
Answer : A
Question: The average weight of 9 persons increases by 1.5 kg. If a person weighing 65 kg is replaced by a new person, what could be the weight of the new person?
A.76 kg
B.77 kg
C.78.5 kg
D.Data inadequate
Answer: C.78.5 kg
Explanation: total weight increases = 9 × 1.5 = 13.5 kg
so the weight of new person = 65 + 13.5 = 78.5 kg
Answer C
Question: The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
A.757
B.758
C.718
D.750
Answer: D.750
Explanation: Speed = [90 * 5/18] m/sec = 25 m/sec; Time = 1 min. = 60 sec.
Let the length of the train and that of the platform be x meters.
Then, 2x/60 = 25 è x = 25 * 60 / 2
=750
Answer:D
Question: Two trains are traveling on a collision course. If train A is traveling at a speed of 350 mph and train B is traveling 28% slower, how much time will it take the trains to collide if the initial distance between the two is 1655.5 miles?
A.Two hours and 30 minutes.
B.One hour and 10 minutes.
C.Two hours and 45 minutes.
D.Three hours and 15 minutes.
Answer: C.Two hours and 45 minutes.
Explanation: Answer is C. Two hours and 45 minutes.
Since they are racing towards each other, the speed is accumulative, ie. 350 mph + 350*0.72 = 602 (0.72 because the second train is 28% slower)
So time before collision is total distance / total speed = 1655.5/602 = 2 hours and 45 mins
Question: A certain article of clothing was discounted during a special sale to 3/4 of its original retail price. When the clothing didn't sell, it was discounted even further to 2/5 of its original retail price during a second sale. By what percent did the price of this article of clothing decrease from the first sale to the second sale?
A.50%
B.33.33%
C.25%
D.46.66%
Answer: D.46.66%
Explanation: Say the original retail price of the item was $200.
The price after the first sale = 3/4 * $200 = $150.
The price after the second sale = 2/5 * $200 = $80.
The percent change from the first sale to the second = (150 -80) / 150 = 1/3 = 46.66%.
Answer: D.
Question: A part-time employee’s hourly wage was increased by 20%. She decided to decrease the number of hours worked per week so that her total income did not change. By approximately what percent should the number of hours worked be decreased?
A.9%
B.17%
C.25%
D.50%
Answer: B.17%
Explanation: Let's plug in somenicenumbers and see what's needed.
Let's say the employee used to make $1/hour and worked 100 hours/week
So, the TOTAL weekly income was $100/week
After the 20% wage increase, the employee makes $1.20/hour
We want the employee's income to remain at $100/week.
So, we want ($1.20/hour)(new # of hours) = $100
Divide both sides by 1.20 to get:
new # of hours = 100/1.20
≈ 83 hours
So, the number of hours decreases from 100 hours to (approximately) 83 hours.
This represents a 17% decrease (approximately) .
Answer : B
Question: 220, 218, 214, 208, 200, 190, ?
A.166
B.178
C.182
D.190
Answer: B.178
Explanation: Explanation :
220
220 - 2 = 218
218 - 4 = 214
214 - 6 = 208
208 - 8 = 200
200 - 10 = 190
190 - 12 = 178
Answer : Option B
Question: The average of 13 numbers is 60. Average of the first 7 of them is 55 and that of the last 7 is 61. Find the 8th number?
A.32
B.83
C.45
D.53
Answer: A.32
Explanation: Sum of all the 13 numbers = 13 * 60 = 780
Sum of the first 7 of them = 7 * 55 = 385
Sum of the last 7 of them = 7 * 61 = 427
So, the 8th number = 427 + 385 - 780 = 32.
Answer:A
Question: If 60% of of a number is 36, then the number is
A.223
B.378
C.100
D.298
Answer: C.100
Explanation: Explanation:
Let the number be x.Then
60% of {\color{Black} \frac{3}{5}}of x=36.
{\color{Black} \Rightarrow }{\color{Black} \frac{60}{100}\times \frac{3}{5}\times x=36}
{\color{Black} \Rightarrow x=100}
Required number is 100.
Answer: C) 100
Question: We invested a total of $1,000. We invested one part of the money at 3% and the rest of the money at 4%. The total investment with interest at the end of the year was $1,036.70. How much money did we invest at 3%?
A.$300
B.$330
C.$360
D.$390
Answer: B.$330
Explanation: Let x be the money invested at 3%.
1.03x+1.04(1000-x)=1036.70.
0.01x=1040-1036.70.
0.01x=3.30.
x=330.
The answer is B.
Question: In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.150, what is B's capital?
A.19878
B.12798
C.26908
D.11250
Answer: D.11250
Explanation: 200 + 150 = 350
800 - 350 = 450
200 ---- 5000
450 ---- ? => 11250
Answer: D
Question: P is three times as fast as Q and working together, they can complete a work in 12 days. In how many days can Q alone complete the work?
A.16
B.77
C.88
D.55
Answer: A.16
Explanation: P = 3Q
P + Q = 3Q + Q = 4Q
These 4Q people can do the work in 12 days, which means Q can do the work in 48 days.
Hence, P can do the work in 16 days.
Answer:A
Question: A manufacturer produces a certain men's athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/5-inch increase in the length of the shoe. If the largest size of this shoe is 40% longer than the smallest size, how long, in inches, is the shoe in size 15?
A.5.4
B.5.9
C.6.3
D.6.7
Answer: B.5.9
Explanation: Let x be the length of the size 8 shoe.
Then 0.4x = 9/5
x = 4.5 inches
The size 15 shoe has a length of 4.5 + 7/5 = 5.9 inches
The answer is B.
Question: A train 100 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train?
A.6 sec
B.9 sec
C.12 sec
D.15 sec
Answer: A.6 sec
Explanation: Speed of the train relative to man = (68 - 8) kmph
= (60* 5/18) m/sec = (50/3)m/sec
Time taken by the train to cross the man
= Time taken by It to cover 100 m at 50/3 m / sec
= 100 *3/ 50 sec = 6sec
Answer : A
Question: What is the probability of getting sum 10 with the help of three dice?
A.1/4
B.1/8
C.1/16
D.1/24
Answer: B.1/8
Explanation: (1,3,6) 3!=6 (2,2,6) =3!/2=3
(1,4,5) 3!=6 (2,4,4)=3
(2,3,5) 3!=6 (3,3,4)=3
prob. of getting sum 10 =(6+6+6+3+3+3)/216 =1/8 Ans
ANSWER:B
Question: On a certain transatlantic crossing, 15 percent of a ship's passengers held round-trip tickets and also took their cars abroad the ship. If 60 percent of the passengers with round-trip tickets did not take their cars abroad the ship, what percent of the ship's passengers held round-trip tickets?
A.37.5%
B.40%
C.50%
D.60%
Answer: A.37.5%
Explanation: 0.15P = RT + C
0.6(RT) = no C
=> 0.40(RT) had C
0.15P = 0.40(RT)
RT/P = 37.5%
Answer - A
Question: A bus started its journey from Mumbai and reached Pune in 54min with its average speed of 55km/hr. If the average speed of the bus is increased by 6km/hr, how much time will it take to cover the same distance?
A.45 min. 30sec
B.43min.
C.45min.
D.44 min. 30sec
Answer: D.44 min. 30sec
Explanation: Sol. Distance between Mumbai and Pune=(55*54)/60=99/2
Average speed of the bus is increased by 6 km/hr then the
speed of the bus = 60 km/hr
Required time = 99/2*60/60 = 44 min. 30sec
D
Question: Average between two sets of numbers is closer to the set withmore numbers?
A.75
B.80
C.85
D.90
Answer: B.80
Explanation: If on a test three people answered 90% of the questions correctly and two people answered 80% correctly, then the average for the group is not 85% but rather 3×90+2×805=4305=86.3×90+2×805=4305=86.
Here, 90 has a weight of 3 => it occurs 3 times.
Whereas 80 has a weight of 2 => it occurs 2 times.
So the average is closer to 90 than to 80 as we have just calculated.
B
Question: What is the are of an equilateral triangle of side 4 cm?
A.64√5
B.4√3
C.64√4
D.64√3
Answer: B.4√3
Explanation: Area of an equilateral triangle = √3/4 S2
If S = 4, Area of triangle = √3/4 * 4 * 4 = 4√3 cm2;
Answer: B
Question: If "PLANT" is given a code of 63, then what is the sum of "SOIL" and "STEM"?
A.112
B.100
C.-2
D.2
Answer: A.112
Explanation: Case – Codes : A - 1, B - 2, C - 3, D - 4, E - 5, F - 6, G - 7, H - 8, I - 9, J - 10, K - 11, L - 12, M - 13, N - 14, O - 15, P - 16, Q - 17, R - 18, S - 19, T - 20, U - 21, V - 22, W - 23, X - 24, Y - 25, Z - 26
SOIL-55
STEM-57
Answer: A
Question: Set J consists of the terms {a, b, c, d, e}, where e > d > c > b > a >0.1. Which of the following operations would decrease the standard deviation of Set J?
A.Multiply each term by e/d
B.Divide each term by e/c
C.Multiply each term by −1
D.Divide each term by d/e
Answer: B.Divide each term by e/c
Explanation: CONCEPT: Standard Deviation is Defined as Average Deviation of Terms in the set from the Mean value of the set. i.e.
1) It depends on the separation between the successive terms of the set
2) If a Constant Value is Added/Subtracted in every terms of set then the Separation between successive terms does NOT change Hence S.D. remains Constant
3) If a Constant Value is Multiplied in every terms then the Separation between succesive terms gets multiplied by the constant Hence S.D. remains gets multiplied by same Number
B
Question: A can contains a mixture of liquids A and B is the ratio 7:5. When 6 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many liter of liquid A was contained by the can initially?
A.12
B.18
C.14
D.20
Answer: C.14
Explanation: Ci*Vi = Cf*Vf
(7/12)*(V1 - 6) = (7/16)*V1
(V1 - 6)/V1 = 3/4
6 accounts for the difference of 1 on ratio scale so Initial volume = V1 = 4*6 = 24 litres.
7/12 of the initial mixture was liquid A so liquid A was (7/12)*24 = 14 litres.
Answer : C
Question: According to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice . How many 15 - ounce cans of the concentrate are required to prepare 200 6-ounce servings of orange juice?
A.25
B.34
C.50
D.20
Answer: D.20
Explanation: Orange juice concentrate: water::1:3
total quantity of orange juice = 200*6 = 1200 oz
so Orange juice concentrate: water :: 300 oz:900 oz
no. of 15 oz can = 300 oz/15 oz = 20
Answer D, 20 cans
Question: Out of 40 applicants to a law school, 15 majored in political science, 20 had a grade point average higher than 3.0, and 10 did not major in political science and had a GPA equal to or lower than 3.0. How many R applicants majored in political science and had a GPA higher than 3.0?
A.5
B.10
C.15
D.25
Answer: A.5
Explanation: Total applicants = 40
Political science = 15 and Non political science = 40 - 15 = 25
GPA > 3.0 = 20 and GPA <= 3.0 = 20
10 Non political science students had GPA <= 3.0 --> 15 Non political science students had GPA > 3.0
GPA > 3.0 in political science = Total - (GPA > 3.0 in non political science) R= 20 - 15 = 5
Answer: A
Question: What is the perimeter, in meters, of a rectangular garden 24 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide?
A.48
B.56
C.64
D.76
Answer: C.64
Explanation: Say Length of garden is L meters.
Then (L*24) = 16 * 12 [Given area is same. Area= L * B]
Therefore L works out to 8 meters.
Perimeter of Garden = 2* (8+24) = 64 meter.
Answer is C
Question: In a fuel station the service costs $2.10 per vehicle and every liter of fuel costs $0.70. Assuming that you fill up 3 mini-vans and 2 trucks, what will be the total cost, if a mini-van's tank is 65 liters and a truck's tank is 120% bigger and they are all empty?
A.$338.50
B.$341.40
C.$344.30
D.$347.20
Answer: D.$347.20
Explanation: The service cost of 3 vans and 2 trucks is 5*2.10 $10.50
The fuel in 3 vans is 3*65 = 195 liters
The fuel in 2 trucks is 2*65*2.2 = 286 liters
The total fuel (vans + trucks) = 481 liters
The total fuel cost is 481*0.7 = $336.70
The total cost is $336.70 + $10.50 = $347.20
The answer is D.
Question: The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).
A.8, 20, 28
B.16, 28, 36
C.20, 35, 45
D.18, 24, 32
Answer: B.16, 28, 36
Explanation: Explanation:
Let their present ages be 4x, 7x and 9x years respectively.
Then, (4x - 8) + (7x - 8) + (9x - 8) = 56
20x = 80
x = 4.
Their present ages are 4x = 16 years, 7x = 28 years and 9x = 36 years respectively.
Answer: B