RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas?
A.81 : 121
B.81 : 126
C.81 : 120
D.81 : 128
Answer: A.81 : 121
Explanation: Ratio of the sides = ³√729 : ³√1331 = 9 : 11
Ratio of surface areas = 92 : 112 = 81 : 121
Answer: A
Question: A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?
A.3
B.4
C.5
D.6
Answer: A.3
Explanation: M = 4
S = 2
US = 4 - 2 = 2
D = 6
T = 6/2 = 3
Answer: A
Question: Anita, Indu and Geeta can do a piece of work in 18 days, 27 days and 36 days respectively. They start working together. After working for 4 days. Anita goes away and Indu leaves 7 days before the work is finished. Only Geeta remains at work from beginning to end. In how many days was the whole work done?
A.16
B.77
C.88
D.55
Answer: A.16
Explanation: 4/18 + (x -7)/27 + x/36 = 1
x = 16 days
Answer: A
Question: What will come in place of the x in the following Number series? 46080, 3840, 384, 48, x
A.8
B.3
C.4
D.5
Answer: A.8
Explanation: 46080 /12 = 3840
3840 /10 = 384
384 /8 = 48
48 /6 = 8
A
Question: How many seconds will a 400 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
A.20
B.30
C.40
D.24
Answer: D.24
Explanation: Speed of train relative to man = 63 - 3 = 60 km/hr.
= 60 * 5/18 = 50/3 m/sec.
Time taken to pass the man = 400 * 3/50 = 24 sec.
Answer: Option D
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
A.30/17 hours
B.30/15 hours
C.36/13 hours
D.30/13 hours
Answer: D.30/13 hours
Explanation: Speed downstream
= 20 + 6 = 26 kmph.
Time required to cover 60 km downstream
= d/s = 60/26
= 30/13 hours.
Answer: D
Question: Of the 28 participants in a certain competition, half are male, and half of the males are younger than 18 years of age. If half of the female competitors are also younger than 18 years of age, into how many distinct groups of 4 competitors could the participants be divided if each group must contain two males under 18 years of age and 2 females over 18 years of age?
A.341
B.441
C.641
D.941
Answer: B.441
Explanation: M under 18 - 7
F above 18 - 7
How many distinct groups can be formed now: 7c2 * 7c2 = 441
Answer : B
Question: Find the quadratic equations whose roots are the reciprocals of the roots of 2x2 + 5x + 3 = 0?
A.3x2 + 5x - 2 = 0
B.3x2 + 5x + 2 = 0
C.3x2 - 5x + 2 = 0
D.3x2 - 5x - 2 = 0
Answer: B.3x2 + 5x + 2 = 0
Explanation: The quadratic equation whose roots are reciprocal of 2x2 + 5x + 3 = 0 can be obtained by replacing x by 1/x.
Hence, 2(1/x)2 + 5(1/x) + 3 = 0
=> 3x2 + 5x + 2 = 0
ANSWER:B
Question: A train covers a distance of 100km in 1 hour. If its speed is decreased by 20km/hr, the time taken by the car to cover the same distance will be?
A.1hr
B.1hr 15min
C.50min
D.1hr 30min
Answer: B.1hr 15min
Explanation: Speed = 100/1 = 100km/hr
New speed = 100-20 = 80 km/hr
Time taken = 100/80 = 1hr 15min
Answer is B
Question: Ram completes a piece of work in 15 days, Raja completes the same work in 20 days. If both of them work together, then the number of days required to complete the work is?
A.6 days
B.8 days
C.10 days
D.8.57 days
Answer: D.8.57 days
Explanation: If A can complete a work in x days and B can complete the same work in y days, then, both
of them together can complete the work in x y/ x+ y days.
That is, the required No. of days = 15 × 20/35 = 8.57 days
Answer : D
Question: Four 6 faced dice are thrown together. The probability that all the four show the same number on them is ?
A.1/248
B.1/216
C.1/144
D.1/200
Answer: B.1/216
Explanation: It all 4 numbers have to be same basically we want quadruplets. 1111, 2222, 3333, 4444, 5555 and 6666. Those are six in number. Further the four dice can fall in 6 * 6 * 6 * 6 = 1296 ways.
Hence the probability is 6/1296 = 1/216
Answer:B
Question: In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit
A.70
B.77
C.289
D.27
Answer: A.70
Explanation: Explanation:
Let C.P.= Rs. 100.
Then, Profit = Rs. 320,
S.P. = Rs. 420.
New C.P. = 125% of Rs. 100 = Rs. 125
New S.P. = Rs. 420.
Profit = Rs. (420 - 125) = Rs. 295
Required percentage = (295/420) * 100
= 70%(approx)
Answer: A) 70%
Question: The area of square ABCD above is 20. The shaded region is the intersection of the square and a circular region centered at C. What is the area of the shaded region?
A.18−9/4∗π
B.18−10/2∗π
C.9+9/4∗π
D.9+9/2∗π
Answer: B.18−10/2∗π
Explanation: =Square - Quarter circle
=20- pi*20/4
=20- pi*10/2
ANSWER:B
Question: In the equation p = 36.12q, q and p are integers. If p/q 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 p=36.12q should be 36.12 * q..
2) It says q is an integer, again it means 36.12 * q..
Otherwise q would be just a digit and it would be mentioned..
Although not clearly mentioned that 36.12q is actually 36.12 * q, BUT entire info points towards that..
and that is why I have taken p/q = 36.12
Question: Working alone, A can complete a certain kind of job in 6 hours. A and D, working together at their respective rates, can complete one of these jobs in 4 hours. In how many hours can D, working alone, complete one of these jobs?
A. 8
B. 10
C. 12
D. 14
Answer: C. 12
Explanation: Let total time taken by D to complete the job = D
total time taken by A to complete the job = 6
Work done by A in an hour
1/A = 1/6
Working together A and D can complete the job in 4 hours
1/A + 1/D = 1/4
=>1/D = 1/4 - 1/A
= 1/4 - 1/6
= 1/12
=> D = 12 hours
Answer C
Question: Some part of a 50% solution of acid was replaced with an equal amount of 30% solution of acid. If, as a result, 40% solution of acid was obtained, what part of the original solution was replaced?
A.1/5
B.1/4
C.1/2
D.3/4
Answer: C.1/2
Explanation: Original Acid : Total ratio = 50:100 . let us say you replaced x part of this. So you are left with (1-x) of the original. So volume of acid left is (1-x)50.
in the new solution.. you added x of 30% solution. i.e 30x acid
(1-x)50 + 30x is the volume of acid. The total volume is still 100. And this concentration is 40%
[(1-x)50 + 30x] / 100 = 40/100
solve to get x=1/2
ANSWER:C
Question: The set S consists of 5 numbers: {1,2,3,4,5}. If all possible subsets including the null set are created and one subset is chosen at random, what is the probability that the subset has 4 as its largest number?
A.1/2
B.1/4
C.1/8
D.1/16
Answer: B.1/4
Explanation: The set S has 2^5 = 32 subsets.
The number 5 is in half of these subsets.
Of the remaining 16 subsets, 4 is an element in 8 of them.
Thus 4 is the largest number in 8 subsets of S.
The probability that 4 is the largest number is 8/32 = 1/4.
The answer is B.
Question: A fruit seller had some apples. He sells 80% and still has 500 apples. Originally, he had ?
A.1588 apples
B.2500apples
C.500 apples
D.2000 apples
Answer: B.2500apples
Explanation: Answer
âˆµ 20% of N = 500
âˆ´ N = (500 x 100)/20 = 2500
Correct Option:B
Question: Two trains, each 100 meters long, moving in opposite directions, completely pass each other in 10 seconds. If one train is moving twice as fast the other, then what is the speed of the faster train (in km/hr)?
A.48 km/hr
B.56 km/hr
C.64 km/hr
D.72 km/hr
Answer: A.48 km/hr
Explanation: Let the speed of the slower train be x m/s
Then, the speed of the faster train is 2x m/s
The relative speed is 3x m/s
(100 + 100)/10 = 3x
x = 20/3
So, the speed of the faster train is 40/3 = 40/3 * 18/5 = 48 km/hr
The answer is A.
Question: A train covers a distance in 50 min, if it runs at a speed of 48kmph on an average. The speed at which the train must run to reduce the time of journey to 20min will be.
A.60 km/h
B.55 km/h
C.40 km/h
D.120 km/h
Answer: D.120 km/h
Explanation: Time=50/60 hr=5/6hr
Speed=48mph
distance=S*T=48*5/6=40km
time=20/60hr=1/3hr
New speed = 40* 3/1 kmph= 120kmph
Answer : D
Question: The present ratio between the ages of Paul and Ben is 5:2. In 4 years time Paul will be 28. What is the present age of Ben?
A.13
B.12
C.11
D.15
Answer: B.12
Explanation: Let the present ages of Paul and Ben be 5x years and 2x years respectively
4x+4 = 28
4x = 24
x = 6
Ben's age = 2x = 12 years
Answer is B
Question: Jennie’s take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of the year was 3 times the amount of that portion of her monthly take-home pay that she did NOT save. If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?
A.1/7
B.1/5
C.1/4
D.1/3
Answer: B.1/5
Explanation: Suppose the portion of her salary that she saved is X
and the remaining portion is Y
X+Y= total take home salary
given, 12X = 3Y
or 4X = Y
Total take-home salary= X+ 4X= 5X
hence, she saved 1/5-th portion of her take home salary
B
Question: Look at this series: V, VIII, XI, XIV, __, XX, ... What number should fill the blank?
A.IX
B.XXIII
C.XVII
D.XV
Answer: C.XVII
Explanation: C
XVII
This is a simple addition series; each number is 3 more than the previous number.
Question: A man engaged a servant on the condition that he would pay him Rs.900 and a uniform after one year service. He served only for 9 months and received uniform and Rs.650, find the price of the uniform?
A.Rs.80
B.Rs.85
C.Rs.90
D.Rs.100
Answer: D.Rs.100
Explanation: 9/12 = 3/4 * 900 = 675
650
-------------
25
1/4 -------- 25
1 --------- ? => Rs.100
ANSWER:D
Question: Count each 7 which is not immediately preceded by 5 but is immediately followed by either 2 or 3. How many such 7's are there?
5 7 2 6 5 7 3 8 7 3 2 5 7 2 7 3 4 8 2 6 7 8
A.2
B.3
C.4
D.5
Answer: A.2
Explanation: 8 7 3
2 7 3
count 2
ANSWER:A
Question: Each factor of 230 is inscribed on its own plastic ball, and all of the balls are placed in a jar. If a ball is randomly selected from the jar, what is the probability that the ball is inscribed with a multiple of 42?
A.1/16
B.5/42
C.1/8
D.3/16
Answer: D.3/16
Explanation: 210=2*3*5*7, so the # of factors 210 has is (1+1)(1+1)(1+1)(1+1)=16 (see below);
42=2*3*7, so out of 16 factors only two are multiples of 42: 42 and 210, itself;
So, the probability is 2/16=3/16.
Answer: D
Question: What is the average (arithmetic mean) of all the multiples of ten from 10 to 150 inclusive?
A.80
B.95
C.100
D.105
Answer: A.80
Explanation: The multiples of ten from 10 to 150 inclusive would be an evenly spaced set with 15 terms - 10, 20, 30,.......150
So average = (First term + Last Term)/2 = (10 + 150)/2 = 160/2 = 80
Hence, the correct answer is A.
Question: A rectangular field is to be fenced on three sides leaving a side of 34 feet uncovered.If the area of the field is 680 sq.ft, how many feet of fencing will be required?
A.74ft
B.88ft
C.22ft
D.11ft
Answer: A.74ft
Explanation: Given that length and area, so we can find the breadth.
Length x Breadth = Area
34 x Breadth = 680
Breadth = 20 feet
Area to be fenced = 2B + L = 2 (20) + 34 = 88 feet
Answer: A) 74ft
Question: In the arithmetic sequence t1, t2, t3, ..., tn, t1=23 and tn= tn-1 - 3 for each n > 1. What is the value of n when tn = 5?
A.-1
B.7
C.10
D.14
Answer: B.7
Explanation: We know that t1 = 23
So, using the given formula we have:
t1=(t1-1) -3 =23
t0 - 3 = 23
t0= 26
The same way we find that t2= 20
It seems that the sequence goes like this:
t0 = 26
t1 = 23
t2 = 20
t3 = 17
t4 = 14
t5 = 11
t6 = 8
t7 = 5
So, ourANS is B.
Question: A grocery shop has a sale of Rs. 6235, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
A.4857
B.4184
C.4012
D.5191
Answer: D.5191
Explanation: Let the sale in the sixth month =x
Then
(6235+6927+6855+7230+6562+x)/6 =6500
=>6235+6927+6855+7230+6562+x =6×6500
=> 33809+x=39000
=> x=39000−33809
=5191
ANSWER:D
Question: The ratio of numbers is 3:4 and their H.C.F is 3. Their L.C.M is:
A.12
B.16
C.36
D.48
Answer: C.36
Explanation: Let the numbers be 3x and 4x.
Then their H.C.F = x. So, x = 3.
So, the numbers are 9 and 12.
L.C.M of 9 and 12 = 36.
ANSWER:C
Question: In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
A.6.25
B.7
C.7.25
D.7.5
Answer: A.6.25
Explanation: So we calculate the runs in the first 10 overs
first 10 overs they got 32 runs
remaining 40 overs they got 250
250 / 40 =6.25
answer A
Question: In the next Cricket World Cup T-20, Team T has decided to score 200 runs only through 4s and 6s. In how many ways can the Team T score these 200 runs?
A.13
B.15
C.16
D.17
Answer: D.17
Explanation: Team T can score a maximum of 50 fours and a minimum of 2 fours with an interval or spacing of 3 units to accommodate the 6's.
So the number of fours scored forms an AP 2, 5, 8, ... 50 with a common difference of 3.
Number of ways of scoring 200 only through 4's and 6's = (50 - 2)/3 + 1 = 17
Answer: D
Alternate solution: 4x + 6y = 200 --> 2x + 3y = 100
x = (100 - 3y)/2 --> 100 - 3y should be even. This is possible when 3y is even.
There are 17 even multiples of 3 between 0 and 100.
Answer: D
Question: On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004?
A.Saturday
B.Tuesday
C.Friday
D.Sunday
Answer: D.Sunday
Explanation: Explanation:
The year 2004 is a leap year. It has 2 odd days.
The day on 8th Feb, 2004 is 2 days before the day on 8th Feb, 2005.
Hence, this day is Sunday
Answer: D
Question: The average of four consecutive odd numbers is 24. Find the largest number
A.25
B.27
C.29
D.31
Answer: B.27
Explanation: Explanation:
Let the numbers are x, x+2, x+4, x+6, then
=>x+(x+2)+(x+4)+(x+6) / 4=24
=>4x+12) / 4=24
=>x+3=24=>x=21
So largest number is 21 + 6 = 27
Option B
Question: What is difference between biggest and smallest fraction among 1/3, 3/4, 4/5 and 5/6
A.2/5
B.1/2
C.1/6
D.1/7
Answer: B.1/2
Explanation: Explanation:
1/3 = .33, 3/4 = .75, 4/5 = .8 and 5/6 = .833
So biggest is 5/6 and smallest is 1/3
Their difference is 5/6 - 1/3 = 3/6 = 1/2
Option B
Question: X does a work in 15 days. Y does the same work in 45 days. In how many days they together will do the same work?
A.10
B.12
C.20
D.11.25
Answer: D.11.25
Explanation: X's 1day's work= 1/15
Y's 1 day's work=1/45
(X+Y)'s 1day's work= (1/15+1/45)=1/11.25
both together will finish the work in 11.25 days.
correct option is D
Question: Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 5 ½ hours if they are walking in the same direction?
A.7 km
B.6 km
C.6 7/8 km
D.9 km
Answer: C.6 7/8 km
Explanation: RS = 5 ¾ - 4 ½ = 1 ¼
T = 3 ½ h.
D = 5/4 * 11/2 = 55/8
= 6 7/8 km
Answer:C
Question: Population is 22000. Population increases by 10% every year, then the population after 3 years is?
A.26630
B.29282
C.36620
D.26620
Answer: B.29282
Explanation: population after 1st year = 22000*10/100 = 2200 ===> 22000+2200 = 24000
population after 2nd year = 24000*10/100 = 2400 ===> 24000+2400 = 26620
population after 3rd year = 26620*10/100 = 2662 ===> 26620+2662 = 29282
ANSWER:B
Question: The average age of three boys is 30 years and their ages are in the proportion 3 : 6 : 12. The age of the youngest boy is:
A.21 years
B.18 years
C.15 years
D.8.5 years
Answer: D.8.5 years
Explanation: Total age of 3 boys = (30 Ã— 3) years = 90 years. Ratio of their ages = 3 : 6 : 12.
Age of the youngest = (60 Ã— 3â„21) years = 8.5 years.
Answer D
Question: A fruit-salad mixture consists of apples, peaches, and grapes in the ratio 4:5:2, respectively, by weight. If 44 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes?
A.15
B.12
C.8
D.6
Answer: C.8
Explanation: We can first set up our ratio using variable multipliers. We are given that a fruit-salad mixture consists of apples, peaches, and grapes, in the ratio of 4:5:2, respectively, by weight. Thus, we can say:
apples : peaches : grapes = 4x : 5x : 2x
We are given that 39 pounds of the mixture is prepared so we can set up the following question and determine a value for x:
4x + 5x + 2x = 44
11x = 44
x = 4
Now we can determine the number of pounds of apples and of grapes.
pounds of grapes = (2)(4) = 8
pounds of apples = (4)(4) = 16
Thus we know that there are 16 – 8 = 8 more pounds of apples than grapes.
Answer is C.
Question: If 13x + < 2z and z + 3 = 5y2 then
A.x is necessarily less than y
B.x is necessarily greater than y
C.x is necessarily equal to y
D.None of the above is necessarily true
Answer: D.None of the above is necessarily true
Explanation: Explanation :
=> 13x + 1 < 2z and z + 3 = 5y2
=> 13x + 1 < 2(5y2 - 3).
=> 13x + 1 < 10y2 - 6.
=> 13x + 7< 10y2 , put x = 1
20 < 10y2 => y2 > 2
y2 > √2 => (y2 - 2)> 0.
Answer : D
Question: An electric motor makes 3,600 revolutions per minutes. How many degrees does it rotate in one second?
A.18.000 d/sec
B.28.000 d/sec
C.38.000 d/sec
D.21.600 d/sec
Answer: D.21.600 d/sec
Explanation: 3600 revolutions / minute
= 3600*360 degrees / 60 seconds
= 21600 degrees / second
D
Question: When positive integer x is divided by 11, the quotient is y and the remainder is 4. When 2x is divided by 6, the quotient is 3y and the remainder is 1. What is the value of 7y – x ?
A.1
B.2
C.3
D.4
Answer: C.3
Explanation: (1) x = 11y + 4
(2) 2x = 18y + 1
Let's subtract equation (1) from equation (2).
7y - 3 = x
7y - x = 3
The answer is C.
Question: A bag contains 4 black, 5 yellow and 6 green balls. Three balls are drawn at random from the bag. What is the probability that all of them are yellow?
A.2/91
B.1/81
C.1/8
D.2/81
Answer: A.2/91
Explanation: Total number of balls = 4 + 5 + 6 = 15
Let S be the sample space.
n(S) = Total number of ways of drawing 3 balls out of 15 = 15C3
Let E = Event of drawing 3 balls, all of them are yellow.
n(E) = Number of ways of drawing 3 balls, all of them are yellow
= Number of ways of drawing 3 balls from the total 5 = 5C3
(∵ there are 5 yellow balls in the total balls)
P(E) = n(E)/n(S)
=5C3 /15C3=5C2 / 15C3 [∵ nCr = nC(n - r). So 5C3 = 5C2. Applying this for the ease of calculation]
=(5×42×1)/(15×14×13/3×2×1)=5×4/(15×14×13/3)=5×4/5×14×13=4/14×13=2/7×13=2/91
Answer is A
Question: In a certain store, the profit is 350% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
A.72.2%
B.70%
C.100%
D.250%
Answer: A.72.2%
Explanation: Let C.P. = Rs. 100. Then, profit = Rs. 320, S.P. = Rs. 450
New C.P. = 125% of Rs. 100 = Rs. 125.
New S.P. = Rs. 420
Profit = 450 - 125 = Rs. 325
Required percentage = 295/420 * 100 = 72.2%
ANSWER:A
Question: The Coen family consists of a father, a mother, two children and a dog. A photographer is about to take the family's picture. How many different arrangements (of standing in a row) does the photographer have, if it is known that the father insists of standing by his woman, as the song says?
A.12
B.24
C.48
D.60
Answer: C.48
Explanation: We need to find the number of arrangements of Father, Mother, Child-1, Child-2, and a Dog, so that F and M are always together.
Consider F and M to be one unit, then we would have total of four units: {FM}, {C1}, {C2}, {D}. The number of arrangements of these four units is 4!, but F and M within their unit can be arranged in 2 ways: {FM} or {MF}, so total number of arrangements is 4!*2=48.
Answer: C.
Question: A cistern 7m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
A.49 m2
B.50 m2
C.53.5 m2
D.55.5 m2
Answer: D.55.5 m2
Explanation: Area of the wet surface	= [2(lb + bh + lh) - lb]
= 2(bh + lh) + lb
= [2 (4 x 1.25 + 7 x 1.25) + 7 x 4] m2
= 55.5 m2.
Answer: Option D
Question: A man has Rs. 384 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
A.90
B.70
C.72
D.80
Answer: C.72
Explanation: Let number of notes of each denomination be x.
Then x + 5x + 10x = 384
16x = 384
x = 24.
Hence, total number of notes = 3x = 72.
Answer is C.
Question: What is the divisor? The dividend is 76, the remainder is 8, the quotient is 4
A.32
B.48
C.67
D.17
Answer: D.17
Explanation: Divisor= Dividend - Remainder divided by the Quotient
Divisor= 76 - 8 divided by 4
Divisor= 68/4
Divisor= 17
Question: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
A.200
B.230
C.240
D.270
Answer: D.270
Explanation: Speed = 72 * 5/18 = 20 m/sec.
Time = 26 sec.
Let the length of the train be x meters.
Then, (x + 250)/26 = 20
x = 270 m.
Answer: Option D
Question: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
A.299
B.270
C.277
D.266
Answer: B.270
Explanation: I = (500*9*6)/100
= 270
Answer: B
Question: Mary charges $8.50 per hour to clean a house. If she works 29 hours, how much
does she earn in one week?
A.$612.50
B.$112.50
C.$246.50
D.$446.50
Answer: C.$246.50
Explanation: Multiply 29 hours x $8.50 =
Answer: $246.50
correct answer C
Question: Nitin’s salary is reduced by 10% and then reduced salary is increased by 10%. Find ,how many percentage his present salary is less as compared to his previous salary?
A.3%
B.8%
C.1%
D.4%
Answer: C.1%
Explanation: 10*10
-------- = 1%
100
Answer:C
Question: A rectangular-shaped carpet that measures x feet by y feet is priced at $36. What is the cost of the carpet, in dollars per square yard? (1 square yard = 7 square feet)
A.xy/297
B.252/(xy)
C.3xy/11
D.297/(xy)
Answer: B.252/(xy)
Explanation: The area of the carpet in feet is xy.
The area in square yards is xy / 7.
The price per square yard is 36 / (xy/7) = 252/(xy).
The answer is B.
Question: Find the value of ( 0.75 * 0.75 * 0.75 - 0.001 ) / ( 0.75 * 0.75 - 0.075 + 0.01)
A.0.845
B.0.849
C.0.842
D.0.828
Answer: A.0.845
Explanation: 0.845
Answer:A
Question: What is the sum of the integers from -160 to 162, inclusive?
A.325
B.327
C.323
D.330
Answer: C.323
Explanation: In an arithmetic progression,
the nth term is given by tn=a+(n-1)d
here tn=162, a=-160, d=1
hence, 162=-160+(n-1)
or n=323
Sum of n terms can be calculated by sn=n/2(a+l)
a=first term, l=last term, n=no. of terms
sn=323*(-160+162)/2
sn=323*2/2 = 323
Answer : C
Question: The average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 61 kg. What is the correct weight?
A.58kgs
B.58.65kgs
C.58.95kgs
D.59kgs
Answer: B.58.65kgs
Explanation: Actual total weight is (20X 58.4 - 56 + 61) = 1173 Kgs
Actual average weight is 1177/20 = 58.65kgs
B
Question: In one alloy there is 15% chromium while in another alloy it is 8%. 15 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy. Find the percentage of chromium in the new alloy.
A.8.8%
B.9%
C.10.1%
D.8.6%
Answer: C.10.1%
Explanation: The amount of chromium in the new 15+35=50 kg alloy is 0.15*15+0.08*35=5.05 kg, so the percentage is 5.05/50*100=10.1%.
Answer: C.
Question: If the price has fallen by 12% what percent of its consumption be: increased so that the expenditure may be the same as before?
A.A)3/22%
B.B)10%
C.1/9 %
D.1/11 %
Answer: A.A)3/22%
Explanation: 100 – 12 = 88
88------12
100------? => 11 3/22%
ANSWER:A