RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The manufacturer’s suggested retail price (MSRP) of a certain item is $60. Store A sells the item for 20 percent more than the MSRP. The regular price of the item at Store B is 30 percent more than the MSRP, but the item is currently on sale for 10 percent less than the regular price. If sales tax is 5 percent of the purchase price at both stores, what is the result when the total cost of the item at Store B is subtracted from the total cost of the item at Store A?
A.$0
B.$0.63
C.$1.80
D.$1.89
Answer: D.$1.89
Explanation: MSRP = 60
Price at Store A =60∗120100=72=60∗120100=72
Price at Store B =60∗130100∗90100=70.2=60∗130100∗90100=70.2
Difference = 72.0 - 70.2 = 1.8
Sales tax applicable = 5% on both
= 1.8 + 0.09 = 1.89
Answer = D
Question: A man on tour travels first 150 km at 50 km/hr and the next 160 km at 80 km/hr. Find the average speed for first 310 km of tour.
A.60.11 km/hr
B.61.01 km/hr
C.62.00 km/hr
D.63.11 km/hr
Answer: C.62.00 km/hr
Explanation: Explanation:
We know Time = Distance/speed
So total time taken =
(150/50+160/80)=5hours
Time taken for 310 Km = 310/5=62.00km/hr
Option C
Question: P beats Q by 250 meter in a kilometer race. Find Q's speed if P's speed is 16 meter/sec.
A.21 meter/sec
B.7 meter/sec
C.12 meter/sec
D.18 meter/sec
Answer: C.12 meter/sec
Explanation: P's speed = 16m/s
P's distance = 1000m (as it is a km race)
t = 1000/16 = 62.5 sec
Q's distance = 1000-250= 750m
Q's time to complete this distance is also 62.5 sec.
Q's speed = dist/time = 750/62.5 = 12 m/s
Hence C is the answer.
Question: What is the difference between the place values of two sevens in the numeral 54709719 ?
A.699300
B.99990
C.99980
D.699930
Answer: A.699300
Explanation: Explanation:
Required Difference
= 700000 - 700 = 699300
Answer is A
Question: The diameter of a garden roller is 1.4 m and it is 4 m long. How much area will it cover in 5 revolutions ? (use Ï€ = 22â„7)
A.80 m2
B.84 m2
C.88 m2
D.86 m2
Answer: C.88 m2
Explanation: Required area covered in 5 revolutions
= 5 Ã— 2Ï€rh = 5 Ã— 2 Ã— 22â„7 Ã— 0.7 Ã— 4 = 88 m2
Answer C
Question: The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:
A.12
B.14
C.18
D.20
Answer: D.20
Explanation: Let the present ages of son and father be x and (60 -x) years respectively.
Then, (60 - x) - 6 = 5(x - 6)
54 - x = 5x - 30
6x = 84
x = 14.
Son's age after 6 years = (x+ 6) = 20 years..
Ans- D
Question: A train passes a station platform in 34 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
A.110 m
B.210 m
C.310 m
D.360 m
Answer: B.210 m
Explanation: Speed = 54 x	5/18	m/sec = 15 m/sec.
Length of the train = (15 x 20)m = 300 m.
Let the length of the platform be x metres.
Then,	(x + 300)/34	= 15
x + 300 = 510
x = 210 m.Answer: Option B
Question: A bus takes 8 hours to cover a distance of 600 Km. how much should the speed in Kmph be maintained to cover the same direction in 4/3th of the previous time?
A.50 Kmph
B.56 Kmph
C.63 Kmph
D.55 Kmph
Answer: B.56 Kmph
Explanation: Time = 8
Distance = 600
4/3 of 8 hours = 8 * 4/3 = 10.7 Hours
Required speed = 600/10.7 = 56 Kmph
B
Question: 90% of the population of a village is 8100. The total population of the village is?
A.9000
B.24000
C.26682
D.29973
Answer: A.9000
Explanation: X * (90/100) = 8100
X = 90 * 100
X = 9000
Answer: A
Question: The average salary of 15 people in the shipping department at a certain firm is $20,000. The salary of 5 of the employees is $25,000 each and the salary of 4 of the employees is $15,000 each. What is the average salary of the remaining employees?
A. $19,250
B. $18,500
C. $18,000
D. $19,100
Answer: D. $19,100
Explanation: total salary... 15*20k=300k
5 emp @ 25k =125k
4 emp @ 15k =60k
remaing 6 emp sal = 300k-125k-60k =115k
average=115k/6 = 19100
Ans:D
Question: If n = 3^4 – 2^4 which of the following is NOT a factor of n?
A.13
B.65
C.1
D.13
Answer: B.65
Explanation: 3^4 - 2^4
= (3^2)^2 - (2^2)^2
=(3^2 + 2^2)(3^2 - 2^2)
=(9+4)(9-4)
=13*5
Therefore, 65 is Not a factor of n.
B
Question: If A and B are two events such that P (A) = 1/4, P (B) = 1/2 and P (A n B) = 3/8,
find P (not A and not B).
A.A)6/8
B.B)5/8
C.C)4/8
D.D)3/8
Answer: B.B)5/8
Explanation: P(not A and not B) = 1 - (P(A) + P(B) - P(AB))
which you might find somewhere in your text.
Substituting in our probabilities we get:
P(not A and not B) = 1 - (1/4 + 1/2 - 3/8)
P(not A and not B) = 1 - (3/8)
P(not A and not B) = 5/8.
B
Question: A reduction of 20% in the price of salt enables a lady to obtain 20 kgs more for Rs.100, find the original price per kg?
A.12.6
B.1.21
C.1.25
D.12.4
Answer: C.1.25
Explanation: 100*(20/100) = 20 --- 20
? --- 1 => Rs.1
100 --- 80
? --- 1=> Rs.1.25
Answer: C
Question: Find the average of all numbers between 2 and 63 which are divisible by 5
A.15
B.20
C.25
D.32.5
Answer: D.32.5
Explanation: Explanation:
Average=(5+10+15+20+25+30+35+40+45+50+55+60)/12=390/12=32.5
Answer: Option D
Question: A certain factory produces buttons and buckles at a uniform weight. If the total weight of 2 buttons and 2 buckles is one third of 11 buckles and 3 buttons, then the weight of 3 buttons and 4 buckles is how many times that of 5 buckles and 6 buttons?
A.7/15
B.2/5
C.8/15
D.3/5
Answer: D.3/5
Explanation: Let x be the weight of a button and let y be the weight of a buckle.
2x + 2y = (1/3)(3x+11y)
3x = 5y
x = 5y/3
3x + 4y = a(6x+5y)
9y = a(15y)
a = 9/15 =3/5
The answer is D.
Question: There are eight different models that are to appear in a fashion show. Two are from Europe, two are from South America, and two are from North America. If all the models from the same continent are to stand next to each other, how many ways can the fashion show organizer arrange the models?
A.72
B.48
C.284
D.24
Answer: C.284
Explanation: Since we have 3 continental pairs (EU, SA, NA), these 4 pairs have 4*3*2*1 =24 Combinations. Within each pair, you have however 2 different ways to put them together for each of the pair (2*2*2*2 = 16). So we have 24*16 = 284.
Please correct me if im wrong.
Answer C.
Question: Given that p is a positive even integer with a positive units digit, if the units digit of p^3 minus the units digit of p^2 is equal to 0, what is the units digit of p +2?
A.7
B.8
C.9
D.10
Answer: B.8
Explanation: p is a positiveeveninteger with apositive units digit--> the units digit of p can be 2, 4, 6, or 8 -->
In order the units digit of p^3 - p^2 to be 0, the units digit of p^3 and p^2 must be the same. Thus the units digit of p can be 0, 1, 5 or 6.
Intersection of values is 6, thus the units digit of p + 2 is 6 + 2 = 8.
Answer: B.
Question: Average of 5 numbers is -10, and the sum of three of the numbers is 16, wat is the average of the other 2 numbers?
A.-33
B.-35
C.-39
D.-42
Answer: A.-33
Explanation: Let the five numbers be a, b, c, d, e. Then their average is (a+b+c+d+e5)=10.(a+b+c+d+e5)=10.
Now three of the numbers have a sum of 16, say, a+b+c=16a+b+c=16.
So substitute 16 for a+b+ca+b+c in the average above: (16+d+e5)=10.(16+d+e5)=10.
Solving this equation for d+ed+e gives d+e=−66d+e=−66.
Finally, dividing by 2 (to form the average) gives (d+e2)=−33.(d+e2)=−33.
Hence, the answer is A: -33
Question: In how many different number of ways 5 men and 2 women can sit on a shopa which can accommodate persons?
A.180
B.183
C.190
D.210
Answer: D.210
Explanation: Option 'D'
7p3 = 7 × 6 × 5 = 210
Question: If you have 5 New Year greeting cards and you want to send them to 2 of your friends, in how many ways can this be done?
A.60
B.20
C.92
D.67
Answer: B.20
Explanation: Solution
We have to find number of permutations of 2 objects out of 5 objects. This number is 5P2=5(5-1)=5*4=20
Answer B
Question: Find the average of all the numbers between 11 and 34 which are divisible by 10?
A.10
B.20
C.25
D.30
Answer: C.25
Explanation: Average = (20+30) 2= 50/2 = 25
Answer is C
Question: 7,12,40,222,1742,17390,208680 which number is wrong in series
A.7
B.12
C.40
D.222
Answer: A.7
Explanation: 7...........
all are even numbers expect 7
ANSWER:A
Question: S is a set of 50 consecutive multiples of 2. If the smallest number in S is 56, then the greatest number in S is
A.198
B.154
C.199
D.102
Answer: B.154
Explanation: last term =first term +(total no. of terms-1)consecutive difference
S is a set of 50 consecutive multiples of 2. If the smallest number in S is 56, then the greatest number in S is
first term = 56 ; total terms =50 ; difference = 2
56+(49)2 = 154
Ans B
Question: A man spends 2/5 of his salary on house rent,3/10 of his salary on food and 1/8 of his salary on convenience he has Rs.1400 left with him,find his expenditure on food and conveyance.
A.1000
B.3000
C.4000
D.2000
Answer: A.1000
Explanation: Part of salary left=1-(2/5+3/10+1/8)
Let the monthly salary be Rs.x
Then, 7/40 of x=1400
X=(1400*40/7)
=8600
Expenditure on food=Rs.(3/10*800)=Rs.2400
Expenditure on conveyance=Rs.(1/8*8000)=Rs.1000
Answer is A.
Question: The total of the ages of Amar, Akbar and Anthony is 60 years. What was the total of their ages three years ago ?
A.50 years
B.51 years
C.52 years
D.53 years
Answer: B.51 years
Explanation: Explanation:
Required sum = (60 - 3 x 3) years = (80 - 9) years = 51 years.
Answer: Option B
Question: If x and y are integers such that (x+1)^2 is less than or equal to 81 and (y-1)^2 is less than 64, what is the sum of the maximum possible value of xy and the minimum possible value of xy?
A. -16
B. -20
C. 0
D. 14
Answer: B. -20
Explanation: (x+1)^2 <= 81
x <= 8
x >= -10
(y-1)^2 < 64
y < 9
y > -7
Max possible value of xy is -10 × -6 = 60
minimum possible value of xy is -10 × 8 = -80
-80 + 60 = -20
Answer : B
Question: John can read m pages in 4 minutes. At this rate, how long will it take him to read n pages?
A.4m*n
B.(5/m)*n
C.(6/m)*n
D.(4/m)*n
Answer: D.(4/m)*n
Explanation: m page in 4 mins
i.e. 1 page in 4/m mins
i.e. n pages in (4/m)*n
Answer: option D
Question: If x is the product of three consecutive positive integers, which of the following must be true?
I. x is an integer multiple of 3.
II. x is an integer multiple of 6
III. x is an integer multiple of 4
A.a) I only
B.b) II only
C.c) I and II only
D.d) I and III only
Answer: C.c) I and II only
Explanation: The answer should be D i.e. X will be an integer and multiple of 3 and 6.
Let us take example n, n+1, n+2 as 3 three consecutive positive integers.
In a sequence of consecutive integers a number is multiple of 3 after every interval of 2 numbers i.e 3,4,5,6 Or 8,9,10,11,12
Hence in a product of 3 consecutive integers, the product is always divisible by 3.
Now, in a consecutive sequence every alternate is an even number, and when an even number is multiplied by 3 we will have 6 as one of the multiple also.
Now for a number to be a multiple of 4 we need at least 2 2's. this is only possible if the first number of three consecutive positive integers is an even number so that 3 is also even and we have 2 2's. But incase the sequence starts with odd we will have one 2 hence, the divisibility by 4 depends on the first number to be even
AnswerC
Question: A and B together can do a piece of work in 8 days. If A alone can do the same work in 20 days, then B alone can do the same work in?
A.0.075 days
B.0.45 days
C.0.55 days
D.0.25 days
Answer: A.0.075 days
Explanation: B = 1/8 – 1/22 =0.075 days
ANSWER:A
Question: At a certain college, 50 percent of the total number of students are freshmen. If 40 percent of the fresh-men are enrolled in the school of liberal arts and, of these, 20 percent are psychology majors, what percent of the students at the college are freshmen psychology majors enrolled in the school of liberal arts?
A.14%
B.4%
C.15%
D.5%
Answer: B.4%
Explanation: Let's say there is a TOTAL of100students at this college.
50 percent of the total number of students are freshmen.
# of freshmen = 50% of 100 =50
40 percent of the fresh-men are enrolled in the school of liberal arts...
Number of liberal arts freshmen = 40% of 50=20
...and, of these, 20 percent are psychology majors...
Number of liberal arts freshmen who are psychology majors = 20% of 20=4
What percent of the students at the college are freshmen psychology majors enrolled in the school of liberal arts?
4/100= 4%
Answer: B
Question: At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 30% on the cost price?
A.65
B.69.5
C.67.5
D.62.5
Answer: A.65
Explanation: CP = 47.50
SP = 47.50*(130/100) = 61.75
MP*(95/100) = 61.75
MP = 65
Answer:A
Question: Among the answers given below, which is nearly equal to √7?
A.2.3
B.1.9
C.2.6
D.2.5
Answer: C.2.6
Explanation: 2.6 is nearly equal to the square root of 7
2.6*2.6=6.76
2.5*2.5=6.25
difference
7 - 6.76=0.24
7 - 6.25=0.75
Since 0.24 is lesser of both, 2.6 is closer.
Answer is C
Question: If each day a tree loses half its remaining leaves, what fraction of its leaves will it have lost after 7 days ?
A.X-1/8
B.X-1/32
C.X-1/64
D.X-1/128
Answer: D.X-1/128
Explanation: LET NO OF LEAVES IX X ..IST DAY X/2 ..2ND DAY X/4 ..3RD DAY X/8 , FOURTH DAY X/16 , 5TH DAY X/32 , 6TH DAY X/64 SO ON SO FOURTH.
FINALLY ON LEAVE WILL BE LEFT ..SO ON 3RD DAY LEAVE LOST IS X-1/128 ANSWER D
Question: Arabica coffee costs $0.4 per ounce while Robusta coffee costs $0.3 per ounce. If the blend of Arabica and Robusta costs $0.32 per ounce, what is the share of Arabica in this blend?
A.20%
B.24%
C.30%
D.33%
Answer: A.20%
Explanation: a= amount of arabica coffee
1-a = amount of robusta coffee. because if you subtract a from the 1 ounce, the remaining amount is robusta
therefore:
.4a + .3(1-a) = .32
.4a + .3 - .3a = .32
a= .2
therefore: .2/1 ounce = 20%. Therefore, the answer should be A
Question: Joe needs to paint all the airplane hangars at the airport, so he buys 360 gallons of paint to do the job. During the first week, he uses 1/9 of all the paint. During the second week, he uses 1/5 of the remaining paint. How many gallons of paint has Joe used?
A.18
B.144
C.104
D.216
Answer: C.104
Explanation: Total paint initially = 360 gallons
Paint used in the first week = (1/9)*360 = 40 gallons.
Remaning paint = 320 gallons
Paint used in the second week = (1/5)*320 = 64 gallons
Total paint used = 104 gallons.
Option C
Question: How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 290 m in length?
A.18.9 sec
B.88.9 sec
C.22.9 sec
D.24.00 sec
Answer: D.24.00 sec
Explanation: D = 110 + 290 = 400 m
S = 60 * 5/18 = 50/3
T = 400 * 3/50 = 24.00 sec
Answer: D
Question: A train running at the speed of 60 km/hr crosses a pole in 21 seconds. Find the length of the train.
A.350 m
B.145 m
C.240 m
D.135 m
Answer: A.350 m
Explanation: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 15 = 350 meter
ANSWER: A
Question: A number is doubled and 4 is added. If the resultant is divided by 5, it becomes 25. What is that number?
A.73.5
B.68
C.60.5
D.None of these
Answer: C.60.5
Explanation: Solution
Let the number be x.
Then, (2x + 4)/5 ‹=› 25
‹=› 2x+4 = 125
‹=› 2x= 121
x= 60.5
Answer C
Question: A boat sails 15 km of a river towards upstream in 5 hours. How long will it take to cover the same distance downstream, if the speed of current is one-fourth the speed of the boat in still water?
A.7h
B.3h
C.4h
D.2h
Answer: B.3h
Explanation: Explanation:
Upstream speed = B-S
Downstream speed = B+s
B-S = 15/5 = 3 km/h
Again B= 4S
Therefore B-S = 3= 3S
=> S = 1 and B= 4 km/h
Therefore B+S = 5km/h
Therefore, Time during downstream = 15/5 = 3h
Answer: B
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 of Q 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) Q= 20 - 15 = 5
Answer: A
Question: A person buys an article at Rs.340. At what price should he sell the article so as to make a profit of 10%?
A.600
B.882
C.374
D.356
Answer: C.374
Explanation: Cost price = Rs.340
profit = 10% of 340 = Rs.34
Selling price = Cost price + Profit
= 340 + 34 = 374
Answer: C
Question: At what rate percent per annum will the simple interest on a sum of money be 2/5 of the amount in 10 years?
A.4%
B.7%
C.9%
D.3%
Answer: A.4%
Explanation: Let sum = x. Then, S.I. = 2x/5, Time
= 10 years.
Rate = (100 * 2x) / (x * 5 * 10)
= 4%
Answer: A
Question: A and B are two circles. The radius of A is twice as large as the diameter of B. What is the ratio between the areas of the circles?
A.1:8.
B.1:2.
C.1:4.
D.1:16
Answer: D.1:16
Explanation: Given :
The radius of A is twice as large as the diameter of B. => R(a) = 2*D(b) = 2*2*R(b) = 4R(b).
The radius are in ratio of 1:4 thus the area will be in the ratio of square of radius. 1:16.
Hence D.
Question: Nathan is 3.4 miles from home and is traveling at 60 mph. How long until he is home?
A.About 9 minutes
B.About 5 and a half minutes
C.About 12 minutes and a half
D.About 16 minutes
Answer: B.About 5 and a half minutes
Explanation: 60/3.4=5.5 m correct answer B
Question: Two persons starting from the same place walk at a rate of 9kmph and 12.5kmph respectively. What time will they take to be 24.5km apart, if they walk in the same direction?
A.7 hrs
B.22 hrs
C.5 hrs
D.12 hrs
Answer: A.7 hrs
Explanation: The relative speed of the boys = 12.5kmph – 9kmph
= 3.5 kmph
Distance between them is 24.5 km
Time= 24.5km / 3.5 kmph = 7 hrs
Answer : A
Question: An optometrist charges $150 per pair for soft contact lenses and $85 per pair for hard contact lenses. Last week she sold 5 more pairs of soft lenses than hard lenses. If her total sales for pairs of contact lenses last week were $1,925, what was the total number of pairs of contact lenses that she sold?
A. 11
B. 13
C. 15
D. 17
Answer: C. 15
Explanation: (x+5)*150 +x*85=1925
=>x=5
total lens=5+(5+5)= 15
Answer C
Question: X can finish a work in 20 days. Y can finish the same work in 16 days. Y worked for 12 days and left the job. how many days does X alone need to finish the remaining work?
A.2
B.3
C.9
D.5
Answer: D.5
Explanation: Work done by X in 1 day = 1/20
Work done by Y in 1 day = 1/16
Work done by Y in 12 days = 12/16 = 3/4
Remaining work = 1 – 3/4 = 1/4
Number of days in which X can finish the remaining work = (1/4) / (1/20) = 5
D
Question: In how many different ways can the letters of the word ATRIUMS be arranged in such a way that the vowels occupy only the even positions?
A.72
B.96
C.120
D.144
Answer: D.144
Explanation: The 3 vowels can be arranged in 3 even places in 3! ways.
The 4 consonants can be arranged in 4 odd places in 4! ways.
The number of arrangements with vowels in even positions = 3! Ã— 4! = 6 Ã— 24 = 144
The answer is D.
Question: In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?
A.187 ways
B.500 ways
C.168 ways
D.659 ways
Answer: B.500 ways
Explanation: We can select one boy from 20 boys in 20 ways.
We select one girl from 25 girls in 25 ways
We select a boy and girl in 20 * 25 ways i.e.,
= 500 ways.
Answer:B
Question: A person bought 114 glass bowls at a rate of Rs. 13 per bowl. He sold 108 of them at Rs. 17 and the remaining broke. What is the percentage gain for A?
A.40
B.3000/11
C.5900/247
D.2790/11
Answer: C.5900/247
Explanation: CP=114*13=1482 and SP=108*17=1836
Gain %= 100*(1836-1482)/1482= 5900/247
ANSWER:C
Question: A man can hit the target once in four shots. If he fires four shots in succession, what is the probability that he will hit the target?
A.1
B.1/256
C.81/256
D.175/256
Answer: D.175/256
Explanation: In four shots he can hit once,twice,thrice,all hit
the probability of hitting the target isp(1hit out of 4)+P(2hit out of 4)+p(3hit out of 4)+p(All hit)
it is total probability-probability of not hitting yhr target
=>1-(3/4*3/4*3/4*3/4)
=>175/256
ANSWER:D
Question: When x is multiplied by 3, the result is 18 more than the result of subtracting x from 26. What is the value of x?
A.-4
B.-2
C.11
D.13
Answer: C.11
Explanation: The equation that can be formed is:
3x-18=26-x
or, 4x=44
or, x=11.
C answer.
Question: Among a group of 2,500 people, 35 percent invest in municipal bonds, 18 percent invest in oil stocks, and 7 percent invest in both municipal bonds and oil stocks. If 1 person is to be randomly selected from the 2,500 people, what is the probability that the person selected will be one who invests in municipal bonds but NOT in oil stocks?
A.9/50
B.7/25
C.7/20
D.21/50
Answer: B.7/25
Explanation: Among a group of 2,500 people, 35 percent invest in municipal bonds, 18 percent invest in oil stocks, and 7 percent invest in both municipal bonds and oil stocks.
As per the attached venn diagram, we have to find the number of people in shaded portion.
=35%-7%=28%
Thus, probability = 0.28 = 7/25
(2,500 people, 18 percent invest in oil stocks is not required.)
Answer is (B)
Question: If x and y are different integers and x^2 = xy, which of the following must be true ?
I. x = 2
II. y = 0
III. x = 0
A.I only
B.II only
C.III only
D.I and III only
Answer: C.III only
Explanation: Answer choice A is correct.
The question gives you x^2=xy
you can simplify that as x^2-xy=0
x(x-y)=0 the solution will be either x=0 or x=y, since x and y are different integers x cannot equal y, that leaves you x=0 to be the only answer.
Answer C
Question: Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. if he sells the scooter for Rs. 5800, his gain percent is :
A.4 4/7&
B.5 5/11%
C.10%
D.12%
Answer: B.5 5/11%
Explanation: Cost price (C.P)= 4700+800=5500
selling price (S.P)= 5800
Gain = (S.P) - (C.P)=5800-5500= Rs. 300, Gain %= (300/5500*100)%= 5 5/100%
Correct Answer : (B)
Question: If Friday occurred on 21th January 2005. What was the day of the week on 21th January 2004?
A.Sunday
B.Wednesday
C.Friday
D.Monday
Answer: B.Wednesday
Explanation: There are 2 odd days in the year 2004
So, the day on 21th January 2005 will be two days beyond the day on 21th January 2004
On 21th January 2004, it was Wednesday
Answer: B
Question: The difference between the ages of two persons is 10 years. Fifteen years ago, the elder one was twice as old as the younger one. The present age of the elder person is?
A.35yr
B.25yr
C.20yr
D.30yr
Answer: A.35yr
Explanation: Let their ages be x years and (x+10) years
Then, (x+10) - 15 = 2(x-15)
x - 5 = 2x-30
x = 25
Present age of the elder person = 25+10 = 35 years
Answer is A
Question: How many triangles can be formed by joining the vertices of an octagon?
A.50
B.56
C.23
D.12
Answer: B.56
Explanation: Here n = 8
Hence, the number of triangles that can be formed by joining the vertices of an octagon
=n(n−1)(n−2)/6=8(8−1)(8−2)/6=8.7.6/6=56
Anwer is B
Question: In the equation m = 36.12n, n and m are integers. If m/n leaves a remainder of r, which of the following must divide into r?
A.2
B.3
C.4
D.6
Answer: B.3
Explanation: 1) It says it is a equation, so m=36.12n should be 36.12 * n..
2) It says n is an integer, again it means 36.12 * n..
Otherwise n would be just a digit and it would be mentioned..
Although not clearly mentioned that 36.12n is actually 36.12 * n, BUT entire info points towards that..
and that is why I have taken m/n = 36.12
Question: Hector runs a one-product widget shop. Each month, his fixed costs, whether he produces anything or not, amount to x dollars. The marginal cost of producing and selling one widget is a constant y dollars, regardless of the number he produces. He generally can sell widgets for p dollars each. What is the minimum number of widgets he must produce, assuming he sells every widget he produces, to break even (neither make a profit nor incur a loss) in a given month?
A.x/(y - p)
B.x/(p - y)
C.x
D.x/p
Answer: B.x/(p - y)
Explanation: Two ways...
1) let t be the total number, so cost = t*y+x and selling price=t*zp..
No profit no loss....t*y+x=t*p.....T=x/(p-y)...
B