RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: How many 3-digits number are Palindromic numbers? A Palindromic number reads the same forward and backward, example 121.
A.90
B.610
C.729
D.900
Answer: A.90
Explanation: Take the task of building palindromes and break it intostages.
Stage 1: Select the hundreds digit
We can choose 1, 2, 3, 4, 5, 6, 7, 8, or 9
So, we can complete stage 1 in9ways
Stage 2: Select the tens digit
We can choose 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9
So, we can complete stage 2 in10ways
IMPORTANT: At this point, the remaining digits are alreadylocked in.
Stage 3: Select the units digit
This digit must be the SAME as the thousands digit (which we already chose in stage 2)
So, we can complete this stage in1way.
By theFundamental Counting Principle(FCP), we can complete all 5 stages (and thus build a 3-digit palindrome) in(9)(10)(1)ways (= 900 ways)
Answer:A
Question: A trader bought a car at 40% 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.8%
B.62%
C.2%
D.9%
Answer: A.8%
Explanation: Original price = 100
CP = 60
S = 60*(180/100) = 112
100 - 108 = 8%
Answer: A
Question: Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 5 meters and a circumference of 4 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B?
A.10%
B.80%
C.100%
D.120%
Answer: A.10%
Explanation: For A, r=4/2pi. Its capacity = (2pi)^2 * 5= 20pi
For B, r=10/pi. Its capacity = (5pi)^2 *8 = 200pi
A/B = 20pi/200pi = 0.1
A
Question: Jasmine has a toaster with two slots that toasts one side of each piece of bread at a time, and it takes one minute to do so.
If she wants to make 3 pieces of toast, what is the least amount of time she needs to toast them on both sides?
A.1
B.2
C.3
D.4
Answer: C.3
Explanation: 3 minutes. She puts two pieces in the toaster, toasting one side of each. Then she flips one of them, takes one out, and puts the completely untoasted piece into the toaster. Finally, she takes out the toasted piece and puts the two half-toasted pieces of bread into the toaster for a minute and she's done.
Question: A can do a piece of work in 20 days. B in 15 days A and C in 12 days. In how many days can A finish the work if he is assisted by B on one day and C on the next, alternately?
A.7 days
B.8 days
C.3 days
D.9 days
Answer: B.8 days
Explanation: A + B = 1/20 + 1/15 = 7/60
A + C = 1/20 + 1/12 = 8/60
7/60 + 8/60 = 15/60 = 1/4
4 days * 2 = 8 days
Answer:B
Question: A jogger running at 9 km/hr along side a railway track is 250 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
A.37 sec
B.89 sec
C.36 sec
D.87 sec
Answer: A.37 sec
Explanation: Speed of train relative to jogger = 45 - 9 = 36 km/hr.
= 36 * 5/18 = 10 m/sec.
Distance to be covered = 250 + 120 = 370 m.
Time taken = 370/10
=37 sec.
Answer: A
Question: Rajan borrowed Rs.4000 at 5% p.a compound interest. After 2 years, he repaid Rs.2210 and after 2 more year, the balance with interest. What was the total amount that he paid as interest?
A.675.5
B.635.5
C.635.28
D.635.98
Answer: B.635.5
Explanation: 4000
200 ---- I
200
10 ---- II
---------------
4410
2210
--------
2000
110 ---- III
110
5.50 ---- IV
-----------
2425.50
2210
-----------
4635.50
4000
----------
635.50
Answer:B
Question: Divide Rs. 1500 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
A.187
B.178
C.375
D.167
Answer: C.375
Explanation: A+B+C = 1500
A = 1/3(B+C); B = 2/3(A+C)
A/(B+C) = 1/3
A = 1/4 * 1500 => 375
Answer: C
Question: The value of a machine depreciates at 22% per annum. If its present value is $1,50,000, at what price should it be sold after two years such that a profit of $24,000 is made?
A.$255260
B.$435260
C.$125260
D.$115260
Answer: D.$115260
Explanation: The value of the machine after two years = 0.78 * 0.78 * 1,50,000 = $91,260
SP such that a profit of $24,000 is made = 91,260 + 24,000 = $1,15,260
D
Question: The ratio of the present ages of a man and his wife is 3 : 2. Which of the following can't be a possible ratio of their ages 25 years ago?
A.1: 3
B.2: 3
C.3:3
D.4: 3
Answer: D.4: 3
Explanation: 3x-25/2x-25 = 4/3
Therefore x=-25
Age cannot be negative.
Answer: D
Question: A farmer had d animals, all of which the farmer bought for the same price. The farmer decided to sell the animals. 18 of the animals were sold at a profit of 10% each while the rest were sold at a loss of 20% each. Overall, the farmer made neither a profit nor a loss. Which of the following is equal to d?
A.21
B.24
C.27
D.32
Answer: C.27
Explanation: Let P be the price the farmer paid for each animal.
The total profit on the 18 animals is 18*0.1*P.
The total loss on the other (d-18) animals is (d-18)*0.2*P.
(d-18)*0.2*P = 18*0.1*P
0.2*d = 1.8 + 3.6
d = 27
The answer is C.
Question: Find the compound interest accrued on an amount of Rs.14,800 at 13.5% p.a at the end of two years. (Round off your answer to nearest integer)
A.Rs. 8167
B.Rs. 4261
C.Rs. 4269
D.Rs. 4266
Answer: D.Rs. 4266
Explanation: Explanation:
CI = 14800{ [ 1 + 13.5/100]2 - 1 }
= 14800 { [1 + 27/200]2 - 1
= 14800 { 2 + 27/200}{27/200}
= (74)[2 + 27/200](27) =
1998[2 + 27/200] = 3996 + 269.73 = Rs. 4266
Answer:D
Question: If x and y are positive integers and 9 + x + y + xy = 23, what is the value of x + y?
A.3
B.5
C.6
D.8
Answer: C.6
Explanation: Try each answer choices.
For A: 9 + 3 + xy = 23; xy = 11 (impossible, 11 prime number. 1 + 11 doesn't equal 3)
For B: 9 + 5 + xy = 23; xy = 9 (no combination of xy = 9 and x + y = 5)
For C: 9 + 6 + xy = 23; xy = 8 (x + y = 6; x = 2, y = 4 or x = 4, y = 2)
For D: 9 + 8 + xy = 23; xy = 6 (no combination of xy = 6 and x + y = 8)
For E: 9 + 9 + xy = 23; xy = 5 (impossible, 5 prime number. 1 + 5 doesn't equal 9)
Therefore, answer C.
Question: From a group of boys and girls, 15 girls leave. They are then left 2 boys for each girl. After this, 27 boys leave. There are then 5 girls for each boy. Find the number of girls in the beginning
A.20
B.10
C.30
D.50
Answer: C.30
Explanation: Assume the number of boys at present = x
Then, the number of girls at present = 5x
Before the boys left, the number of boys were (x+27) and number of girls were 5x
Hence, 2(5x) = x + 27
=> 10x = x + 27
=> x = 3
Number of girls in the beginning = (5x + 15) = (5×3 + 15) = 30
Answer is C.
Question: Find the area of a parallelogram with base 24 cm and height 16 cm.
A.394 cm
B.384 cm
C.380 cm
D.364 cm
Answer: B.384 cm
Explanation: Explanation:
Area of a parallelogram = base * height = 24 * 16 = 384 cm
Answer: Option B
Question: I have 300 friends on facebook and 300 on twitter. When I posted pictures of my birthday party, 50 percent of the facebook friends and 42 percent of the twitter friends "liked" my post; what percent of the total number of friends on both social media platform liked my post ?
A. 35.5%
B. 40.0%
C. 46.0%
D. 49.5%
Answer: C. 46.0%
Explanation: Facebook : 50% of 300 friends liked my post, hence 0.50*300 = 150 friends liked.
Twitter : 42% of 300 friends liked my post, hence 0.42*300 = 126 seeds germinated.
Thus (friends who liked my post) /(total) = (150 + 126)/(400 + 300) = 276/600 = 46% seeds germinated.
Answer: C.
Question: Find the odd man out. 16,20,24,72,80
A.16
B.20
C.24
D.72
Answer: B.20
Explanation: All except 20 are multiples of 8
Answer is B
Question: The ratio of the present age of Sandy to that of Molly is 7:2. Sixteen years from now, the ratio of the ages of Sandy to Molly will be 5:2. What was Sandy's age 6 years ago?
A.66
B.70
C.74
D.78
Answer: D.78
Explanation: Let the present age of Sandy be 7x years and that of Molly be 2x years.
(7x + 16) / (2x + 16) = 5 / 2
4x = 48
x = 12
Six years ago, Sandy's age was 7(12) - 6 = 78
The answer is D.
Question: The value of 4.12 is :
A.4(11 / 90)
B.4(11 / 99)
C.371 / 900
D.4(3/25)
Answer: D.4(3/25)
Explanation: 4.12 can be written as 412/100=103/25
this can be written as 4(3/25)
ANSWER:D
Question: In the game of Dubblefud, yellow chips, blue chips and green chips are each worth 2, 4 and 5 points respectively. In a certain selection of chips, the product of the point values of the chips is 16,000. If the number of blue chips in this selection equals the number of green chips, how many yellow chips are in the selection?
A.1
B.2
C.3
D.4
Answer: D.4
Explanation: this is equivalent to :-
2x * 4y * 5z = 16000
y = z (given)
2x * 4y * 5y = 16000
2x * y^2 = 16000/20
2x * y^2 = 800
now from options given we will figure out which number will divide 800 and gives us a perfect square :-
which gives us x = 4 as
2* 4 * y^2 =800
y^2 = 100
y =10
Number of yellow chips = 4 hence D
Question: A man rides at the rate of 30km/hr. But stops 20minutes to change horses at the end of every 60th kilometer. How long will he take to go a distance of 180 kilometers?
A.5hr
B.6hr 30min
C.6hr 40min
D.7hr 20min
Answer: C.6hr 40min
Explanation: speed of man = 60km/hr
number of rests = (180/60)-1 = 2
time taken for the man = (180/30)+2*(20/60) = 6 hr 40 min
Answer is C
Question: The sum of 3 hours 45 minutes and 3 hours 55 minutes is approximately what percent of a day?
A.35%
B.34%
C.33%
D.32%
Answer: D.32%
Explanation: Since the question is asking for an approximate percentage
3:45+3:55 ~ 8 hours
% of day = 8*100/24 ~ 8*100/25= 32%
Answer is D.
Question: The last digit of 12^12+13^13–14^14×15^15 =
A.0
B.1
C.5
D.8
Answer: B.1
Explanation: 12^12+13^13–14^14∗15^15
=12^12+13^13–(14^14∗15^15)
Note that the answer would be -ve for this question
So, Just for the sake of last digit, I'm re-arranging the term as below
(14^14∗15^15)−(12^12+13^13)
(14^14∗15^15) >> As 4 & 5 are at the units place, the units place would be 0 of the product. No need of further calculation
12^12>> Cyclicity is 2, 4, 8, 6... units digit = 6
13^13 >> Cyclicity is 3, 9, 7, 1... units digit = 3
0 - (6+3)
= 0 - 9 = 1 at the units place
Answer = 1 = B
Question: Tom and Jerry are running on the same road towards each other. If Tom is running at a speed of 2.5 meters per second and Jerry is running 36% slower, how much time W will it take them to meet if the initial distance between the two is 50 meters and Tom started running 20 seconds before Jerry did?
A.2 minute and 12 seconds.
B.two minutes.
C.44 seconds.
D.20 seconds.
Answer: D.20 seconds.
Explanation: Tom is running alone for 20 seconds.
So he will cover a distance of 20*2.5 = 50 m in 20 seconds=W
Basically, Jerry has not started yet , and Tom has covered the distance alone and met Jerry on the other side
D is the answer
Question: What comes next in the series?
1 2 6 24 120 720 ___
A.2290
B.2020
C.5040
D.4028
Answer: C.5040
Explanation: C
5040
Multiply each number by 2, 3, 4, 5 and 6 and (finally) 7.
Question: In August,a cricket team that played 120 matches won 30% of the games it played.After a continuous winning streak,this team raised its average to 52%.How many matches did the team win to attain this average?
A.40
B.55
C.68
D.80
Answer: B.55
Explanation: let the no of matches played more=x
so,
(120+x)*52/100=36+x
by solving we get x=55
ANSWER:B
Question: If 3 boys can do 3 times of a particular work in 3 days, then, 7 boys can do 7 times of that work in
A.2 days
B.3 days
C.4 days
D.5 days
Answer: B.3 days
Explanation: That is, 1 boy can do one time of the work in 3 days.
Therefore, 7 boys can do 7 times work in the same 3 days itself.
B
Question: In how many ways can the letters of the word OCARINA be arranged if the O, R, and N remain in their original positions?
A.6
B.12
C.18
D.24
Answer: B.12
Explanation: The word OCARINA has 7 letters and if the O, R, and N remain in their original positions
then we have 4 positions to arrange the remaining letters - C , 2A , I
Number of ways = 4!/2!
= 12
Answer B
Question: If S is the sum of the reciprocals of the consecutive integers from 91 to 100, inclusive, which of the following is less than S?
I. 1/10
II. 1/9
III. 1/8
A.None
B.I only
C.III only
D.II and III only
Answer: B.I only
Explanation: Since we summarize the reciprocals from 100 to 91, we can say also that we add ten numbers who are all (with one exception 1/100) greater than 1/100, so that the sum must be greater than 1/10.
On the other side we can say that we add the reciprocals from 91 to 100, so that the sum has to be less than the sum of ten times 1/91.
We can conclude that the sum has to be less than 1/9 but more than 1/10. That leaves us B as the only possible answer.
Question: A sum of Rs. 427 is to be divided among A, B and C in such a way that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal. The share of C is ?
A.23
B.87
C.84
D.26
Answer: C.84
Explanation: Given total sum = Rs. 427
And given that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal.
=> 3A = 4B = 7C
But given
=> A + B + C = 427
Now express A and B in terms of C i.e
=> (7C/3) + (7C/4) + C = 427
=> C = 84
Answer: C
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
A.45 km/hr
B.50 km/hr
C.54 km/hr
D.55 km/hr
Answer: B.50 km/hr
Explanation: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr = 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5 = 45 ==> x = 50 km/hr.
ANSWER:B
Question: What percent of 10 is 10 percent of 1?
A.0.1%
B.1%
C.10%
D.90%
Answer: B.1%
Explanation: 10 percent of 1 is equal to 0.1
So we have to compute what percent of 10 is 0.1. so this means we have to compute what percent of 100 is 1....so 1%
Answer B.
Question: Running at the same constant rate, 6 identical machines can produce a total of 330 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
A.648
B.1800
C.2200
D.10800
Answer: C.2200
Explanation: Let the required number of bottles be x.
More machines, More bottles (Direct Proportion)
More minutes, More bottles (Direct Proportion)
Machines	6	:	10	:: 330 : x
Time (in minutes)	1	:	4
6 x 1 x x = 10 x 4 x 330
x =	(10 x 4 x 330)/(6)
x = 2200.
ANSWER:C
Question: 2+2+2^2+2^3+2^4+2^5=？
A.(2^3-1)(2^3+1)
B.2^6
C.2^5-1
D.2^5+1
Answer: B.2^6
Explanation: From 2+2+2^2+2^3+2^4+2^5=64,
2^6=64
the correct answer is B.
Question: Machines A and B produce bottles at their respective constant rates. Machine A produces k bottles in 2 hours and machine B produces k bottles in 4 hours. How many hours does it take machines A and B, working simultaneously, to produce 15k bottles?
A.10
B.15
C.12
D.20
Answer: D.20
Explanation: A's rate = k/2
B's rate = k/4
k/2 + k/4 = 3k/4
15k / (3k/4) = 20 hours
The answer is D.
Question: The relationship between quantities m and n is expressed by the equation 11m = 5(n - 52). If the difference between the two chosen values of n is 40, what is the difference in the corresponding values of m?
A.200/11
B.42/11
C.60/11
D.150/11
Answer: A.200/11
Explanation: Another Simple way
11m=5(n-52)
Assume n = 52 to make one side equal to 0
then 11m=0
and m = 0
Repeat it by assuming n as 52+40 i.e 92
11m= 5(92-52)
11m=200
m=200/11
diff = 200/11 - 0 = 200/11
Answer : A
Question: A paint store mixes 3/4 pint of red paint and 2/3 pint of white paint to make a new paint color called Perfect Pink. How many pints of red paint would be needed to make 33 pints of Perfect Pink paint?
A.9
B.16
C.17
D.25 1/3
Answer: C.17
Explanation: 3/4 pint is required to make 3/4 + 2/3 = 17/12 pint of perfect pink
so 17/12 pint requires 3/4 pint of red..
1 pint will require 3/4 * 12/17=9/17..
33 pints will require 9/17 * 33= 17 pints..
C
Question: ramu sells gud for 27 per kg. but he has two plates for wighting one plate is 10% shorter then other.. he put 1 kg weight on shorter plat and apple on other plat.. at the end their is no profit no loss..what is cost price of apple
A.30
B.40
C.50
D.60
Answer: A.30
Explanation: ramu is making profit of 10% on weight because he puts 1 kg on shorter site.
to balance this profit if there is decrease of 1/10 in weight then there should be increse of 1/9 in price so 1/9 of 27=3
cost price=27+3=30
ans=30
ANSWER:A
Question: Working alone, machine X can manufacture 1,000 nails in 16 hours. Working together, machines X and Y can manufacture 1,000 nails in 5 hours. How many hours does it take machine Y to manufacture 1,000 nails working alone?
A.3 9/17
B.5 1/3
C.7
D.7 3/11
Answer: D.7 3/11
Explanation: rate of machine x = 1000/16
(1000/16 + y)5=1000
y=200-125/2=275/2
275/2 * t = 1000
t=7 3/11
D. 7 3/11
Question: A car covers a distance of 624 km in 6 ½ hours. Find its speed?
A.104 kmph
B.176 kmph
C.298 kmph
D.186 kmph
Answer: A.104 kmph
Explanation: 624/6
= 104 kmph
Answer:A
Question: At a conference, the only events scheduled for the day are seminars and breaks. All seminars are the same length and are 10 times as long as each break. A break must be between two consecutive seminars. If the first seminar begins at 9:00 a.m. and the third one ends at 11:40 a.m., how long A will the conference last if there are a total of 6 seminars that day?
A.5 hours and 15 minutes
B.5 hours and 20 minutes
C.5 hours and 25 minutes
D.5 hours and 30 minutes
Answer: B.5 hours and 20 minutes
Explanation: Shouldnt the answer be 5 hours 20 mins?
Break = b
Seminar= 10b
9am to 11:40am= 160mins
3s+b=160
30b+b=160
b=160/31
6 seminar will take
6s+2b
=60b+2b
=62b
=62*160/31
=320
A=5 hours 20 mins.B
Question: A man sells two articles for Rs.3600 each and he gains 30% on the first and loses 30% on the next. Find his total gain or loss?
A.9
B.8
C.7
D.5
Answer: A.9
Explanation: (30*30)/100 = 9%loss
Answer: A
Question: Of the goose eggs laid at a certain pond, 1/3 hatched and 4/5 of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, 3/5 did not survive the first year. If 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond?
A.1025
B.1075
C.1125
D.1175
Answer: C.1125
Explanation: Let x be the number of eggs that were laid.
(2/5)(4/5)(1/3)x = 120
(8/75)x = 120
x = 1125
The answer is C.
Question: The average expenditure of a man for the first five months is Rs.300 and for the next seven months it is Rs.130. If he saves Rs.290 in that year, his monthly average income is :
A.Rs.140
B.Rs.150
C.Rs.190
D.Rs.225
Answer: D.Rs.225
Explanation: Explanation:
Total income = Rs.(300Ã—5+130Ã—7+290)=Rs.2700
Average monthly income
= Rs. (2700/12)=Rs.225
Correct Option: D
Question: 225 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees
A.10
B.12
C.14
D.16
Answer: A.10
Explanation: 26 trees have 25 gaps between them,
Required distance (225/25) = 10
A
Question: The length of box 12 Cm long, 8 Cm breadth and 9Cm height. Find the length of pencil in that box?
A.19
B.14
C.17
D.16
Answer: C.17
Explanation: Diagonal (d) = √l(power2)+b(power2)+h(power2)
= √12(power2)+8(power2)+9(power2)
= √144+64+81
= √289 => 17 Cm
Answer is C.
Question: The average of 20 results is 65 and the average of other 65 results is 20 . what is the average of all the results?
A.30
B.25
C.48
D.50
Answer: A.30
Explanation: Answer
Sum of 85 result = sum of 20 result + sum of 65 result.
= 20 x 65 + 65 x 20
= 2600
Correct Option: A
Question: In one hour, a boat goes 11km along the stream and 5 km against it. Find the speed of the boat in still water
A.6
B.7
C.8
D.9
Answer: C.8
Explanation: Explanation:
We know we can calculate it by 1/2(a+b)
=> 1/2(11+5) = 1/2(16) = 8 km/hr
ANSWER IS C
Question: If the function Q is defined by the formula Q = 5w/(4vf(z^2)), by what factor will Q be multiplied if w is quadrupled, f is doubled, and z is tripled?
A.1/9
B.2/9
C.4/9
D.3/9
Answer: B.2/9
Explanation: We just need to find the factor thats all,
w -> quadrupled -> 4w
f-> doubled -> 2f
z-> tripled -> 3Z
Hence, Z^2 = 9Z^2
W is in numerator, and f*z in denominator.
Hence,
Additional factor being introduced = 4/2*9
=4/18 = 2/9 = B
Question: 5/[(1/0.03) + (1/0.37)] = ?
A.0.004
B.0.1388
C.2.775
D.3.6036
Answer: B.0.1388
Explanation: Approximate.
1/.03 = 100/3 = 33
1/.37 = 100/37 = 3
Denominator becomes 33 + 3 = 36
5/36 = .1388
Answer (B)
Question: Machine A and machine B are each used to manufacture 220 sprockets. It takes machine A 10 hours longer to produce 220 sprockets than machine B. Machine B produces 10 percent more sprockets per hour than machine A. How many sprockets per hour does machine A produces?
A.2
B.3
C.4
D.5
Answer: A.2
Explanation: Machine B: Takes x hours to produce 220 sprockets
Machine A: Takes (x+10) hours to produce 220 sprockets
Machine B: In 1 hour, B makes 220/x sprockets
Machine A: In 1 hour, A makes 220/(x+10) sprockets
Equating:
1.1(220/(x+10)) = 220/x
242/(x+10) = 220/x
242x = 220x+2200
22x = 2200
x = 100
A makes 220/(110) = 2 sprockets per hour
Answer : A
Question: There was a cycle race going on. 1/5th of the those in front of a person and 5/6th of those behind him
gives the total number of participants. How many people took part in the race?
A.31
B.39
C.30
D.33
Answer: A.31
Explanation: Explanation :
Let total participants be (x+1)
Then
=> (1 / 5) * x + (5/6) * x = x+1
=> 31x/30=x+1
=> x=30
So total participants (x+1)=31
Hence (A) is the correct answer.
Answer : A
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.334
B.500
C.265
D.197
Answer: B.500
Explanation: Let the investment in 9% stock be Rs. x.
Then, investment in 10% stock = Rs. (9800 - x).
9	x x =	10	x (9800 - x)
75	80
3x	=	9800 - x
25	8
24x = 9800 x 25 - 25x
49x = 9800 x 25
x = 500
Answer:B
Question: Mr. Mike sold two books at $2.20 each. Based on the cost, his profit one was 20% and his loss on the other was 30%. On the sale of the books. Find the amount of his profit or loss?
A.lost 10 cents
B.lost 4 cents
C.broke even
D.lost amount 0.22 cents.
Answer: D.lost amount 0.22 cents.
Explanation: 20 % profit on $ 2.20
= $ 20/100 × 2.20
= $ 0.20 × 2.20
= $ 0.44
Similarly, 30 % loss on $ 2.20
= $ 30/100 × 2.20
= $ 0.30 ×2.20
= $ 0.66
Therefore, in one book his profit is $ 0.44 and in the other book his loss is $ 0.66.
loss amount 0.22 cents.
Answer is D.
Question: The difference of two numbers is 11 and one-fifth of their sum is 9. Find the numbers
A.28,22
B.28,17
C.27,17
D.26,17
Answer: B.28,17
Explanation: If two numbers are x, y
x-y=11 --(i) & (x+y)/5=9 --(ii)
Solving (i) & (ii), x=28, y=17
ANSWER:B
Question: The numbers in which of the following pairs do NOT have a pair of distinct prime divisors in common?
A.10 and 30
B.12 and 18
C.24 and 64
D.21 and 63
Answer: C.24 and 64
Explanation: 64 has only the prime 2 (64=2^6) in its prime factorization, so it can not have a PAIR of distinct prime divisors in common with ANY of the numbers.
The answer is C.
Question: A straight fence is to be constructed from posts 8 inches wide and separated by lengths of chain 5 feet long. If a certain fence begins and ends with a post, which of the following couldnotbe the length of the fence in feet? (12 inches = 1 foot)
A.17
B.28
C.35
D.39
Answer: D.39
Explanation: The fence begins and ends with a post: {post = 0.5 feet}{chains = 5 feet}{post = 0.5 feet}...{chains = 5 feet}{post = 0.5 feet}
The minimum length is with 2 posts = 0.5 + 5 + 0.5 = 6 feet. To increase the fence, each time we should add{post = 0.5 feet}{chains = 5 feet}, so 5.5 feet. Thus, the lengths could be:
6 feet;
8 + 5.5 = 13.5 feet;
11.5 + 5.5 = 19 feet;
17 + 5.5 = 24.5 feet;
22.5 + 5.5 = 30 feet;
28 + 5.5 = 35.5 feet;
33.5 + 5.5 = 41 feet.
...
We skipped 39 feet.
Answer: D.