RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 990 grams. Find the profit percent.
A.1.05
B.1.06
C.1.01
D.1.08
Answer: C.1.01
Explanation: Explanation:
(100 + g) / (100 + x) = True measure / Faulty measure
x = 0
true measure = 1000
faulty measure = 990
100 + g / 100 + 0 = 1000 / 990
100+g = 100/99*100
g = 1.01
ANSWER: C
Question: At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years?
A.9%
B.6%
C.4%
D.2%
Answer: C.4%
Explanation: 150 = (750*5*R)/100
R = 4%
Answer: C
Question: On a purchase of $127, a store offered a payment plan consisting of a $27 down payment and 12 monthly payments of $10 each. What percent of the purchase price, to the nearest tenth of a percent, did the customer pay in interest by using this plan?
A.18.3%
B.15.3%
C.21.3%
D.22.3%
Answer: C.21.3%
Explanation: 12*10 + 27 = 147
(27/127)* 100 = 21.3
Answer : C
Question: A rectangular grassy plot 110m by 65cm has a gravel path .5cm wide all round it on the inside. Find the cost of gravelling the path at 80 paise per sq.mt?
A.680rs
B.540rs
C.480rs
D.640rs
Answer: A.680rs
Explanation: area of theplot = 110 * 65 = 7150 sq m
area of the plot excluding the path = (110-5)* (65-5) = 6300 sq m
area of the path = 7150 - 6300 =850 sq m
cost of gravelling the path = 850 * 80/100 = 680 Rs
Answer: A
Question: A man took a loan at rate of 12% per annum simple interest. After 3 years he had to pay 4320 interest. The principal amount borrowed by him was.
A.Rs 14000
B.Rs 15000
C.Rs 12000
D.Rs 17000
Answer: C.Rs 12000
Explanation: Explanation:
S.I.=Pâˆ—Râˆ—T/100
=>P=S.I.âˆ—100/Râˆ—T
=>P=4320âˆ—100/12âˆ—3=Rs12000
Option C
Question: Walking 7/6 of his usual rate, a boy reaches his school 3 min early. Find his usual time to reach the school?
A.21
B.28
C.99
D.77
Answer: A.21
Explanation: Speed Ratio = 1:7/6 = 6:7
Time Ratio = 7:6
1 -------- 7
3 --------- ?
= 21 m
Answer:A
Question: How many pairs of letters are there in the word INSTITUTE which have as many letters between them in the word as in the English alphabet?
A.6
B.2
C.1
D.3
Answer: D.3
Explanation: N _ _ _ _ _T
ST
TU
so total= 3
ANSWER:D
Question: P, Q and R can do a work in 6 , 9 and 12 days respectively. They completed the work and got Rs.195. What is the share of P?
A.80
B.70
C.85
D.90
Answer: D.90
Explanation: The ratio of their working rates = 1/6 : 1/9 : 1/12 = 6 : 4 : 3.
Since, they work together, the share of P
= 6/13 * 195 = Rs.90
Answer: D
Question: A table is bought for Rs.500/- and sold at Rs.600/- find gain or loss percentage
A.25% gain
B.20% gain
C.20% loss
D.15% gain
Answer: B.20% gain
Explanation: Formula = (Selling price ~ Cost price)/Cost price * 100
= (600 - 500)/500 = 20% gain
B
Question: There are 10 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible?
A.1620
B.1820
C.2060
D.2440
Answer: A.1620
Explanation: 10C2 * 9C2 = 45*36 = 1620
The answer is A.
Question: How many odd integers S between 200 and 600 are there such that their tens digit is even?
A.20
B.25
C.100
D.150
Answer: C.100
Explanation: The hundreds digit can take 4 values: 2, 3, 4 and 5;
The tens digit can take 5 values: 0, 2, 4, 6 and 8;
The units digit can take 5 values: 1, 3, 5, 7 and 9;
Total S: 4*5*5=100.
Answer: C.
Question: A bus takes 2 hours to cover a distance of 180 Km. how much should the speed in Kmph be maintained to cover the same direction in 5/2th of the previous time?
A.50 Kmph
B.60 Kmph
C.36 Kmph
D.25 Kmph
Answer: C.36 Kmph
Explanation: Time = 2
Distance = 180
5/2 of 2 hours = 2 * 5/2 = 5 Hours
Required speed = 180/5 = 36 Kmph
C
Question: The L.C.M. of 2 numbers is 100. The numbers are in the ratio 4:1. Find their product?
A.1200
B.2000
C.2500
D.3200
Answer: C.2500
Explanation: Let the numbers be 4x and x
L.C.M. = 4x
4x = 100
x = 25
The numbers are = 100 and 25
Required product = 100*25 = 2500
Answer is C
Question: A 14% stock yielding 10% is quoted at :
A.83.33
B.110
C.112
D.140
Answer: D.140
Explanation: Solution
To earn Rs. 10, money invested = Rs. 100.
To earn Rs. 14, money invested = Rs.(100/10X14) = Rs. 140.
âˆ´ Market value of Rs. 100 stock =Rs. 140
Answer D
Question: A salesman's income consists of a commission and a base salary of $400 per week. Over the past 5 weeks, his weekly income totals have been $406, $413, $420, $436 and $395. What must his average (arithmetic mean) commission be per week over the next two weeks so that his average weekly income is $500 over the 7-week period?
A.$150
B.$245
C.$365
D.$315
Answer: D.$315
Explanation: Total weekly income over 5 weeks=$406+$413+$420+$436+$395=$2070
For avg weekly income to be $500 over 7 weeks, we need total weekly income over 7 weeks=$3500
Now, $3500-$2070=$1430
From this, we subtract base salary for 2 weeks i.e $350*2=$700
Therefore, commission=$1430-$800=$630 for 2 weeks
Avg weekly commission=$315
Answer D
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
A.227
B.277
C.266
D.150
Answer: D.150
Explanation: Let the length of the train be x meters and its speed be y m/sec.
They, x / y = 15 => y = x/15
x + 100 / 25 = x / 15
x = 150 m.
Answer: D
Question: The average (arithmetic mean) of four numbers is 4x + 3. If one of the numbers is x, what is the average of the other three numbers?
A.x + 1
B.3x + 3
C.5x + 1
D.5x + 4
Answer: D.5x + 4
Explanation: If the average of four numbers is 4x + 3, then the sum of all four numbers if 4 * (4x + 3) = 16x + 12. If one of the numbers is x, then the average of the remaining three numbers would be: (16x + 12 - x)/3 = (15x + 12)/3 = 5x + 4.
Answer is D.
Question: What annual payment will discharge a debt of Rs. 1025 due in 2 years at the rate of 5% compound interest?
A.Rs. 560
B.Rs. 560.75
C.Rs. 551.25
D.Rs. 550
Answer: C.Rs. 551.25
Explanation: Explanation:
Present worth of Rs. x due T years hence is given by
Present Worth (PW) = x/(1+R/100)T
Let x be the annual payment
Then, present worth of x due 1 year hence + present worth of x due 2 year hence = 1025
x(1 + 5/100)1 + x(1 + 5/100)2 = 1025 x/(21/20) + x/(21/20)2 = 1025
20x/21 + 400x/441 = 1025
820x/441 = 1025
x = (1025 × 441)/820
= (205 × 441)/164
= Rs. 551.25
Answer: Option C
Question: A tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. If 2,500 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
A.1.25%
B.3.75%
C.6.25%
D.6.67%
Answer: D.6.67%
Explanation: 10000 gallons solution has
500 gallons sodium chloride
9500 gallons water
=> 2500 gallons water evaporates
=> 7000 gallons water remains
hence, concentration of sodium chloride is 500/7500 = 6.67%
ANSWER:D
Question: If 60% of (x-y) = 20% of (x+y), then what percent of x is y?
A.50%
B.44.4%
C.22.2%
D.33.3%
Answer: A.50%
Explanation: 60% of (x-y) = 20% of (x+y)
60/100 (x-y) = 20/100 (x+y)
4x = 8y
Required percentage = y/x *100 = 4y/8y * 100 = 50%
Answer is A
Question: The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
A. 35, 25 kmph
A.76 kmph
B.40 kmph
C.29 kmph
D.26 kmph
Answer: B.40 kmph
Explanation: Speed downstream = 60 + 20
= 80 kmph
Speed upstream = 60 - 20
= 40 kmph
Answer: B
Question: John makes $60 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?
A.16.12%
B.16.66%
C.16.56%
D.17.66%
Answer: B.16.66%
Explanation: Increase = (10/60)*100 = (1/6)*100 = 16.66%.
B
Question: A teacher prepares a test. She gives 7 objective type questions out of which 4 have to be answered. Find the total ways in which they can be answered if the first 2 questions have 3 choices and the last 5 have 4 choices.
A.4255
B.5280
C.1920
D.1000
Answer: B.5280
Explanation: Two cases.
First Case: 2 Questions - 3 Choices, 2 Questions - 4 Choices
2C2 * 5C2 ways to select the questions
3C1 * 3C1 * 4C1 * 4C1 ways to answer the questions
= 1 * 10 * 3 * 3 * 4 * 4
=1440
Second Case: 1 Question - 3 Choices, 3 Questions - 4 Choices
2C1 * 5C3 ways to select the questions
3C1 * 4C1 * 4C1 * 4C1 ways to answer the questions
= 2 * 10 * 3 * 4 * 4 * 4
= 3840
Total = 3840 + 1440=5280
B
Question: In how many ways a team of 11 must be selected a team 5 men and 11 women such that the team must comprise of not more than 3 men.
A.22399
B.2256
C.2700
D.279078
Answer: B.2256
Explanation: Maximum 3 men can be played which means there can be 0, 1, 2, 3 men in the team.
(5C0×11C11)+(5C1×11C10)+(5C2×11C9)+(5C3×11C8)=2256(5C0×11C11)+(5C1×11C10)+(5C2×11C9)+(5C3×11C8)=2256
Answer:B
Question: Tough and Tricky questions: Percents.
Over the course of a year, a certain microbrewery increased its beer output by 90 percent. At the same time, it decreased its total working hours by 5 percent. By what percent did this factory increase its output per hour?
A.200
B.100
C.300
D.400
Answer: A.200
Explanation: Lets assume the initial production was 100 litres of beer for 100 hr.
With the 90% increase the total amount of beer production will be 190 litres and with 5 % decrease in total hours will be reduced to 95 hr.
100hr ----> 100 lts
1hr -----> 1 lts
95hr -----> 190 lts
1hr -----> 2 lts
Total Increase in production for 1 hr = 200%
Answer A
Question: Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?
A.6400
B.2388
C.3777
D.2992
Answer: A.6400
Explanation: Explanation:
Let the sum invested in Scheme A be Rs. x and that in Scheme B be Rs. (13900 - x).
Then,
=> 28x - 22x = 350800 - (13900 x 22)
=> 6x = 45000
=> x = 7500.
So, sum invested in Scheme B = Rs. (13900 - 7500) = Rs. 6400.
Answer: A) Rs.6400
Question: In how many ways Chief Minister and Minister be elected from a team of 10 members?
A.128
B.90
C.132
D.143
Answer: B.90
Explanation: To do this, if captain is elected first, then we have 10 ways of doing this.
For election of vice-captain, we have only 9 ways left, coz 1 way is already consumed. (Situations like this is called dependent situation. One selection depends upon other selection.)
So, the ans is 10*9 = 90 ways.
Answer : B
Question: Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18: 5.17: 2.05. If altogether they baked a batch of 148 cookies, what percent of the cookies did Ingrid bake?
A.0.125%
B.1.25%
C.31%
D.125%
Answer: C.31%
Explanation: 9.18x+5.17x+2.05x = 16.4x = 148 cookies
x= 148/16.4 = 9 (approx)
So, Ingrid baked 9*5.17 cookies or 46 cookies (approx)
% share = 46/148 = 31 approx
Hence, answer is C.
Question: Following an increase in prices, the price of a candy box was 10 pounds and the price of a can of soda was 15 pounds. If the price of a candy box was raised by 25%, and the price of a can of soda was raised by 50%. What was the price of a box of candy plus a can of soda before prices were raised?
A.11.
B.12.
C.13.
D.18.
Answer: D.18.
Explanation: Price of candy before price increase= 10/1.25= 8
Price of soda before price increase= 15/1.5= 10
Total price = 8+10= 18
D is the answer
Question: A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
A.3.9 hrs
B.2.8 hrs
C.3.7 hrs
D.7.2 hrs
Answer: D.7.2 hrs
Explanation: Net part filled in 1 hour = (1/4 - 1/9) = 5/36
The cistern will be filled in 36/5 hrs i.e., 7.2 hrs.
Answer: D
Question: Look at this series: 201, 202, 204, 207, ... What number should come next?
A.234
B.134
C.351
D.211
Answer: D.211
Explanation: D
211
In this addition series, 1 is added to the first number; 2 is added to the second number; 3 is added to the third number; 4 is added to the fourth number; and go on.
Question: How many diagonals does a polygon with 19 sides have, if one of its vertices does not connect to any diagonal?
A.135
B.125
C.120
D.110
Answer: A.135
Explanation: If I calculate it using the formulae, #diagonals = n (n-3)/2Each vertex sends of n-3 diagonals
n= 19-1 then 18*(18-3)/2 = 135
Correct Option:	A
Question: A car covers a distance of 624 km in 6 ½ hours. Find its speed?
A.104
B.277
C.298
D.269
Answer: A.104
Explanation: 624/6 = 104 kmph
Answer:A
Question: 2^2*3^2*2^3*3^2*5^2 =
A.3^5*2^5
B.2^9*3^4
C.2^4*3^9
D.5^8
Answer: D.5^8
Explanation: 2^2*3^3*2^3*3^2 =
A) 3^5*2^5
B) 2^9*3^4
C) 2^4*3^9
D) 2^5*3^4*5^2
E) 6^10
If the base is same, powers are added so that follows D) 2^2*3^2*2^3*3^2*5^2 =.
Hence the answer is D
Question: Today is Thursday. The day after 53 days will be?
A.Monday
B.Tuesday
C.Saturday
D.Sunday
Answer: A.Monday
Explanation: Explanation:
53 days = 7 weeks 4 days = 4 odd days
Hence if today is Thursday, After 53 days, it will be = (Thursday + 4 odd days)
= Monday
Answer: Option A
Question: Two persons A and B take a field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6months and 40 sheep for 7 1/2 months. If one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep, what part of the rent should A pay?
A.1/3
B.1/8
C.1/2
D.1/5
Answer: A.1/3
Explanation: 3h = 5c
6c = 10s
A = 21h*3 + 15c*2
= 63h + 30c
= 105c + 30c = 135c
B = 15c*6 + 40s*7 1/2
= 90c + 300s
= 90c + 180c = 270c
A:B = 135:270
27:52
A = 27/79 = 1/3
Answer:A
Question: A train 510 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
A.52
B.56
C.41
D.42
Answer: A.52
Explanation: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 550 * 2/25 = 52 sec
Answer: Option A
Question: The reflex angle between the hands of a clock at 10.25 is
A.197 1/2
B.197 1/9
C.197 1/2
D.167 1/3
Answer: A.197 1/2
Explanation: Explanation:
Angle traced by hour hand in 125/12 hrs = (360/12 * 125/12) =
Angle traced by minute hand in 25 min = (360/60 * 25) =
Reflex angle =
Answer: A) 197 1/2
Question: A house is to be constructed in 46 days and 117 men were set to work, each working 8 hours a day. After 33 days, 4/7 of the work is completed. How many additional men may be employed so that the work may be completed in time, each man now working 9 hours a day?
A.76
B.64
C.81
D.120
Answer: C.81
Explanation: Explanation :
Solution: Remaining work = (1-4/7) = 3/7. remaining period =(46-33)days = 13 days.
Let the total men working at it be x.
Less work, less men (Direct proportion)
Less days, more men (Indirect proportion)
More hrs/day, less men (Indirect proportion)
work 4/7 : 3/7
Days 13 : 33 } : : 117 : x
Hrs/Day 9 : 8
.'. 4/7*13*9*x = 3/7*33*8*117 or x = ((3*33*8*117)/4*13*9) = 198.
.'. Additional men to be employed = (198-117) = 81.
Answer : C
Question: The length of a rectangle is reduced by 10%. By what % would the width have to be increased to maintain the original area?
A.10%
B.11.1%
C.25%
D.30%
Answer: B.11.1%
Explanation: Sol. Required change = (10*100)/(100-10)=11.1%
B
Question: Find the amount on Rs.9000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?
A.5568
B.9828
C.5460
D.5635
Answer: B.9828
Explanation: 9000 * 104/100 * 105/100
=> 9828
Answer:B
Question: The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate percent. Find the rate and the time?
A.6 2/3%
B.6 2/7%
C.6 2/2%
D.6 3/3%
Answer: A.6 2/3%
Explanation: 4/9 P = (P*R*R)/100
R = 20/3 = 6 2/3%
Answer: A
Question: There are three foam generators in the factory, each of the first two can generate 12 liters of foam in one hour and the third can generate 18 liters in an hour. The three generators start working together at the same time and after one hour and a half one of the first generators stops working and two hours after that the third generator stops working and only one generator is left. If 5 hours after they all started to work the last generator stops working, how many liters of foam were generated?
A.120.
B.132.
C.141
D.154.
Answer: C.141
Explanation: Let the foam generators capacity be -
A = 12 lit/hr
B = 12 lit/hr
C = 18 lit/hr
Total foam generation in 1 hour will be 42 lit ( 12 + 12 + 18 ) ; since in 1 and 1/2 hr they will generate 42 + 21 => 63 litres...
Now one of the first generators stops working ( Say A stops working ) , so we have -
B = 12 lit/hr
C = 18 lit/hr
Total foam generation in 2 hour will be 60 litres {2 (12+18)}
The third generator stops working and now only B works for the remaining time 1 and 1/2 ( 5 - 1 and 1/2 - 2 )...
Foam generated by B will be 3/2 * 12 => 18 litres
So, total foam generated will be 141 Litres ( 63 + 60 + 18 ) ; hence answer will be (C)
Question: A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth?
A.22
B.75
C.90
D.78
Answer: C.90
Explanation: SP of 1m of cloth = 8925/85 = Rs. 105
CP of 1m of cloth = SP of 1m of cloth - profit on 1m of cloth
= Rs. 105 - Rs. 15 = Rs. 90.
Answer: C
Question: If the ratio of apples to bananas is 3 to 2 and the ratio of bananas to cucumbers is 1 to 3, what is the ratio of apples to cucumbers?
A.2:3
B.1:2
C.3:5
D.2:5
Answer: B.1:2
Explanation: The ratio of bananas to cucumbers is 1 to 3 which equals 2 to 6.
The ratio of apples to bananas to cucumbers is 3 to 2 to 6.
The ratio of apples to cucumbers is 3 to 6 which equals 1:2.
The answer is B.
Question: A rectangular table seats 4 people on each of two sides, with every person directly facing another person across the table. If eight people choose their seats at random, what is probability that any two of them directly face other?
A.1/56
B.1/8
C.1/7
D.15/56
Answer: C.1/7
Explanation: A B C D
------------
| TABLE |
------------
E F G H
A to H are 8 people.
Prob to select any 1 person = 1
Prob to select the person opposite to the chosen person = 1/7
For ex. If we select A as the person than prob of choosing E is 1/7.
Hence, answer will be C.
Question: Two pipes A and B can fill a tank in 36 min. and 45 min. respectively. A water pipe C can empty the tank in 30 min. First A and B are opened. After 7 minutes, C is also opened. In how much time, the tank is full?
A.43 min
B.44 min
C.45 min
D.46 min
Answer: D.46 min
Explanation: part filled in 7 min= 7*(1/36+1/45) =7/20
remaining part= 1-7/20 =13/20
net part filled by pipes A,B,C=(1/36+1/45-1/30) =1/60 (in 1 min.)
13/20 part is filled in = 60*13/20 =39 min
total time taken to fill the tank = 39+7 =46 min
ans = 46 min.
ANSWER:D
Question: Ronald and Elan are working on an assignment. Ronald takes 6 hrs to type 32 pages on a computer, while Elan takes 5 hrs to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
A.8 hrs 85 min
B.8 hrs 18 min
C.8 hrs 15 min
D.6 hrs 15 min
Answer: C.8 hrs 15 min
Explanation: Number of pages typed by Ronald in 1 hour = 32/6 = 16/3
Number of pages typed by Elan in 1 hour = 40/5 = 8
Number of pages typed by both in 1 hour = (16/3 + 8) = 40/3
Time taken by both to type 110 pages = (110 * 3/40) = 8 1/4 = 8 hrs 15 min
Answer:C
Question: Which of the following MUST yield a fractional integer when divided by 4?
A.The sum of four consecutive positive integers.
B.The square of a prime number.
C.The sum of two odd integers.
D.The product of three consecutive odd numbers.
Answer: A.The sum of four consecutive positive integers.
Explanation: Hence A is true. No need to check other answers since there can only be one correct answer.
So, Ans(A).
Question: You enter a weight loss challenge game and manage to lose 12% of your body weight. For the final weigh in you are forced to wear clothes that add 2% to your weight. What percentage of weight loss is measured at the final weigh in?
A.10.24%
B.9.22%
C.9%
D.14%
Answer: A.10.24%
Explanation: (100%-12%)*(100%+2%) = 0.88*1.02 = 10.24%
The weigh in records your weight loss at 10.24%!
The Answer is A
Question: A man can row a distance of 5 km in 60 min with the help of the tide. The direction of the tide reverses with the same speed. Now he travels a further 30 km in 10 hours. How much time he would have saved if the direction of tide has not changed?
A.2
B.8
C.4
D.6
Answer: C.4
Explanation: Explanation:
He covered 5 km in 1 hour , so he might cover 30 km in 6 hours.
But he took 10 hours.
He would have saved 10 â€“ 6 = 4 hours.
Answer: C
Question: A worker's daily wage is increased by 40% and the new wage is $28 per day. What was the worker's daily wage before the increase?
A.$18
B.$20
C.$22
D.$24
Answer: B.$20
Explanation: Let x be the daily wage before the increase.
1.4x = $28
x = $20
The answer is B.
Question: The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is
A.10 years
B.40 years
C.30 years
D.50 years
Answer: B.40 years
Explanation: Sum of the present ages of husband, wife and child = (27 x 3 + 3 x 3) years = 90 years.
Sum of the present ages of wife and child (20 x 2 + 5 x 2) years = 50 years.
Husband's present age = (90 - 50) years = 40 years.
Answer: B
Question: The circulation for magazine X in 1981 was 5 times the average (arithmetic mean) yearly circulation for magazine X for the years 1982-1990. What is the ratio of the circulation in 1981 to the total circulation during 1981-1990 for magazine X ?
A.1/5
B.1/4
C.5/14
D.5/9
Answer: C.5/14
Explanation: There are 9 years from 1982-1990, inclusive. Let's say the average circulation every year between 1982-1990 inclusive is x.
So the total circulation is 9x from 1982-1990, inclusive.
In 1981, the circulation is 5x.
So total circulation for 1981-1990 is 5x + 9x = 14x.
Ratio of circulation in 1981 to total circulation during 1981-1990 is 5x to 14x or 5/14.
ANSWER:C
Question: A car traveling with 5/7 of its actual speed covers 42 km in 1 hr 40 min
48 sec. What is the actual speed of the car?
A.30 km/hr
B.35 km/hr
C.25 km/hr
D.40 km/hr
Answer: B.35 km/hr
Explanation: time 1 hr 40 min 48 sec
= 1 hr + 40/60 hr + 48/3600
1 +2/3+1/75=126/75
distance = 42 km
speed = 42 * 75 /126 = 25 km/hr
that is 5/7 of the actual speed = 25
actual speed = 25 * 7/5 = 35 km/hr
ANSWER B
Question: A fort of 400 soldiers has provisions for 10 days. After 2 days some of them left and the food was now enough for the same period of 10 days as before. How many of them left?
A.80
B.90
C.100
D.110
Answer: A.80
Explanation: 2000 ---- 50
400 ---- 8
x ----- 10
x*10 = 400*8
x=320
400
-------
80
Answer: A
Question: A factory produces x widgets per day. The factory's fixed costs are $8420 per day. The price per widget is $80 and the variable costs are $20 per widget. How many widgets need to be produced for profits of $5440 a day?
A.42.33
B.90.33
C.168
D.231
Answer: D.231
Explanation: profits=5440=60x-8420--> x=231
Answer D.
Question: In a group of Hens and Goats, the total number of legs are 28 more than twice the number of heads. Find the total number of Goats.
A.A)16
B.B)12
C.C)14
D.D)8
Answer: C.C)14
Explanation: Explanation :
Let the number of Hens be d
and number of goats be c
Then, total number of legs = 2d + 4c = 2(d + 2c)
total number of heads = c + d
Given that total number of legs are 28 more than twice the number of heads
=> 2(d + 2c) = 28 + 2(c + d)
=> d + 2c = 14 + c + d
=> 2c = 14 + c
=> c = 14
Answer : C
Question: Sum of the numbers from 1 to 35 is
A.630
B.660
C.670
D.450
Answer: A.630
Explanation: Explanation: Sum of first n natural numbers = 1 + 2 + 3 + ..... n = n(n+1)/2
Substitute n = 35.
So S20=35Ã—36/2=630
Correct Option: A
Question: A basketball coach will select the members of a five-player team from among 12 players, including John and Peter. If the five players are chosen at random, what is the probability that the coach chooses a team that includes both John and Peter?
A.1/9
B.1/6
C.2/9
D.5/33
Answer: D.5/33
Explanation: you can but that will require more cases and will be time consuming.
straight forward way is to group J and P as always present on the team and as order does not matter so we just need to find the total number of ways to select rest three players = 10c3
total number of ways of selecting 5 players out of 12 = 12c5
probability = 10c3/12c5 = 5/33
D