RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Two identical circles intersect such that their centers and the points at which they intersect form a square of side 3 cm. What is the area of the region where the two circles intersect?
A.9 - pi
B.9pi - 9
C.4.5pi - 9
D.9 - 2pi
Answer: C.4.5pi - 9
Explanation: Drawing a diagram, we see that the radius of the circle equals the side of the square.
The area of intersection is: pi*r^2/4 - (r^2-pi*r^2/4) = pi*r^2/2 - r^2 = 4.5pi - 9
The answer is C.
Question: Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q’s age?
A.1 year
B.2 years
C.25 years
D.Data inadequate
Answer: D.Data inadequate
Explanation: EXPLANATION
Given that:
1. The difference of age b/w R and Q = The difference of age b/w Q and T.
2. Sum of age of R and T is 50 i.e. (R + T) = 50.
Question: R – Q = ?.
Explanation:
R – Q = Q – T
(R + T) = 2Q
Now given that, (R + T) = 50
So, 50 = 2Q and therefore Q = 25.
Question is (R – Q) = ?
Here we know the value(age) of Q (25), but we don’t know the age of R.
Therefore, (R-Q) cannot be determined.
Answer D
Question: All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 149 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A?
A.1289
B.1192
C.281
D.1184
Answer: B.1192
Explanation: Explanation:
B has 62.5% or (5/8) of the water in A. Therefore, let the quantity of water in container A(initially) be 8k.
Quantity of water in B = 8k - 5k = 3k.
Quantity of water in container C = 8k - 3k = 5k
Container: A B C
Quantity of water: 8k 3k 5k
It is given that if 149 liters was transferred from container C to container B, then both the containers would have equal quantities of water.
5k - 149 = 3k + 149=> 2k = 298 => k = 149
The initial quantity of water in A = 8k = 8 * 149 = 1192 liters.
Answer: Option B
Question: On dividing a number by 56, we get 27 as remainder. On dividing the same number by 8, what will be the remainder ?
A.2
B.3
C.4
D.5
Answer: B.3
Explanation: Number=56x+27 (∵ since the number gives 27 as remainder on dividing by 56)
=(7×8×x)+(3×8)+3
Hence, if the number is divided by 8, we will get 3 as remainder.
ANSWER:B
Question: Which of the following CANNOT be the median Q of the four consecutive positive integers w, x, y, and z, where w < x < y < z ?
A.(w+x)/2 - 1
B.(w+z)/2
C.(x+y)/2
D.(y+z)/2 -1
Answer: A.(w+x)/2 - 1
Explanation: Using the properties of consecutive positive integers we could right away eliminate B,C and E.
(B) - The average of first and last terms is the median
(C) - For even number of integers, the median is the average of middle terms
(E) - The average is equal to median if the integers are consecutive
Remaining answer choices are A and D.
For A, the average of first two consecutive numbers (w,x) will definitely be less than x making it impossible to be a median Q.
Answer (A)
Question: Machines A and B produce bottles at their respective constant rates. Machine A produces k bottles in 4 hours and machine B produces k bottles in 7 hours. How many hours does it take machines A and B, working simultaneously, to produce 22k bottles?
A.48
B.52
C.56
D.60
Answer: C.56
Explanation: A's rate = k/4
B's rate = k/7
k/4 + k/7 = 11k/28
22k / (11k/28) = 56 hours
The answer is C.
Question: How many cubes of 20 cm edge can be put in a cubical box of 1 m edge.
A.177 cm
B.125 cm
C.786 cm
D.617 cm
Answer: B.125 cm
Explanation: Number of cubes =100âˆ—100âˆ—100/20âˆ—20âˆ—20=125
Note: 1 m = 100 cm
Answer:B
Question: A hare and a jackal are running a race. Three leaps of the hare are equal to four leaps of the jackal. For every six leaps of the hare, the jackal takes eleven leaps. Find the ratio of the speed of the hare to the speed of the jackal.
A.4:7
B.8:11
C.5:8
D.3:11
Answer: B.8:11
Explanation: The hare takes 6 leaps and the jackal takes 11 leaps.
1 hare leap = 4/3 jackal leaps
Thus the hare's 6 leaps = 6*(4/3) = 8 jackal leaps.
The ratio of their speeds is 8:11.
The answer is B.
Question: A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
A.55
B.66
C.40
D.88
Answer: C.40
Explanation: 800*(25/100) = 200 ---- 5
? ---- 1 => Rs.40
Answer:C
Question: An artist wishes to paint a circular region on a square poster that is 5 feet on a side. If the area of the circular region is to be 1/2 the area of the poster, what must be the radius of the circular region in feet?
A.1/pi
B.sqrt(2/pi)
C.2/sqrt(pi)
D.sqrt(12.5/pi)
Answer: D.sqrt(12.5/pi)
Explanation: Area of the poster is 5x5 = 25
1/2 the area = 12.5
pi*r^2 = 12.5
r^2 = 12.5/pi
r = sqrt(12.5/pi) answer (D)
Question: Given that r = 98.3, which of the following best approximates the value of r/(2r + 2) ?
A.1/4
B.1/3
C.1/2
D.4/7
Answer: C.1/2
Explanation: r/(2r + 2) = 1/[2+(2/r)] = 1/[2+(2/98.3)]
but 2/98.3 is too small (negligible) in comparison
Hence, 1/[2+(2/98.3)] = 1/2 (approx)
Answer: Option C
Question: r=3^(n+1), then in terms of r, 9^n=
A.r^2/81
B.r^2/9
C.r^2
D.r/3
Answer: B.r^2/9
Explanation: Questions in terms of variables can be easily solved by plugging in some values: Say n = 0
r = 3^1 = 3
and you need the value of 3^n which is 3^0 = 1
So when you put r = 3 in the options, you should get 1. Only option (A) satisfies.
Answer (B)
Question: 12.5 * 3.2 * 8.8 = ?
A.352
B.435
C.224
D.646
Answer: A.352
Explanation: A
352
? = 12.5 * 3.2 * 8.8 = 352
Question: The radius of a cylindrical water tank is reduced by 50%. However, the speed by which water is filled into the tank is also decreased by 50%. How much more or less time D will it take to fill the tank now?
A. 50% less time
B. 50% more time
C. 75% less time
D. 75% more time
Answer: A. 50% less time
Explanation: (VC)Volume of the cylinderical vessal is directly proportional to R^2.
So if radius is 50% less volume will be 1/4th of the original volume.(VC/4)
Now if with velocity V tank can be filled in T1 time of volume VC
So now Velocity is 50% less i..e V/2
So time taken to fill the capacity VC/4 by V/2 velocity is T2.
VT1 = VC
V/2*T2 = VC/4
So T1/T2 = 1/2
So Tank will be filled in less time. that is D=50 % less.A
Question: There are 720 male and female participants in a meeting. Half the female participants and one-quarterof the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female?
A.75
B.100
C.120
D.175
Answer: C.120
Explanation: Let m be the number of male participants and f be the number of female articipants in the meeting. Thetotal number of participants is given as 720.
Hence, we have m+f= 720
Now, we have that half the female participants and one-quarter of the male participants are Democrats.
Let d equal the number of the Democrats.
Then we have the equation f/2 + m/4 =d
Now, we have that one-third of the total participants are Democrats. Hence, we have the equation
d = 720/3 = 240
Solving the three equations yields the solution
f = 240,m= 480, and d= 240.
The number of female democratic participants equals half the female participants equals
240/2 = 120.
ANSWER:C
Question: On 8th Dec, 2007 Saturday falls. What day of the week was it on 8th Dec, 2006?
A.Sunday
B.Thursday
C.Tuesday
D.Friday
Answer: D.Friday
Explanation: Explanation:
8th Dec 2007 – 8th Dec 2006 = 52 weeks 1 day. So Dec 8th 2006 is behind one day = Friday
Answer: D
Question: Ratio of two numbers x and y is 5:7. If x is increased by 20% and y is increased by 2 then the new ratio becomes 2:3. What is the ratio 3y:(x+6)
A.7:8
B.8:7
C.6:7
D.7:6
Answer: A.7:8
Explanation: Let:
x = 5n
y = 7n
6n/(7n+2) = 2/3
18n = 2*(7n+2)
n = 1
So, x =5; y=7
y/(x+3) = 7/8
Answer = A
Question: Maxwell leaves his home and walks toward Brad's house. One hour later, Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 54 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the distance traveled by Maxwell?
A.16
B.18
C.20
D.24
Answer: D.24
Explanation: After the 1st hour, Maxwell has travelled 4 Km. And Brad just left home. So the distance between them = 54 - 4 = 50.
Relative speed = 4 +6 = 10 Kmph.
Now to cover these 50 Kms, they will take 50/10 = 5 Hrs. So in 5 hrs, Maxwell walks 5*4 = 20 Kms.
So total distance travelled by Maxwell = 4 + 20 = 24.
ANSWER:D
Question: A train 150 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
A.7
B.6
C.8
D.2
Answer: C.8
Explanation: Speed of train relative to man = 60 + 6 = 66 km/hr.
= 66 * 5/18 = 55/3 m/sec.
Time taken to pass the men = 150 * 3/55
= 8 sec.
Answer C
Question: A batsman makes a score of 86 runs in the 17th inning and thus increases his averages by 3.Find his average after 17th inning?
A.19
B.29
C.38
D.49
Answer: C.38
Explanation: let the average after 17th inning =x
Then average after 16th inning=(x-3)
Therefore 16(x-3)+86=17x
Therefore x=38
ANSWER:C
Question: Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?
A.Rs.1056
B.Rs.1112
C.Rs.1182
D.Rs.992
Answer: D.Rs.992
Explanation: Explanation:
(800*3*3)/100 = 72
920 + 72 = 992
ANSWER IS D
Question: In how many different ways can 3 identical blue pants and 3 identical yellow pants be distributed among 6 children such that each child receives a pair of pants?
A.20
B.2662
C.519
D.46
Answer: A.20
Explanation: 1st Child: 6 has options
2nd Child: 5 has options…
Therefore, for all kids: 6 x 5 x 4 x 3 x 2 = 720 arrangements.
Since the reds are identical, we divide by 3! and since the greens are identical, we divide by another 3!
So, in all, 720/[ 3! X 3! ] = 20 ways.
(e.g. Answer: A)
Question: The side of a square is increased by 25% then how much % does its area increases?
A.56.29 %
B.56.25 %
C.56.75 %
D.58.25 %
Answer: B.56.25 %
Explanation: a = 100 a2 = 10000
a = 125 a2 = 15625
----------------
10000 --------- 5625
100 -------? => 56.25 %
Answer:B
Question: The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
A.4338
B.4536
C.4538
D.4530
Answer: D.4530
Explanation: Area of the four walls = 2h(l + b)
Since there are doors and windows, area of the walls = 2 * 12 (15 + 25) - (6 * 3) - 3(4 * 3) = 906 sq.ft.
Total cost = 906 * 5 = Rs. 4530
Answer: D
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
A.25
B.20
C.10
D.15
Answer: B.20
Explanation: M = 15
S = 5
DS = 15 + 5 = 20
Answer: B
Question: In the coordinate plane, points (x, 6) and (10, y) are on line k. If line k passes through the origin and has slope 1/2, then x * y =
A.52
B.46
C.60
D.50
Answer: C.60
Explanation: Line k passes through the origin and has slope 1/2 means that its equation is y=1/2*x.
Thus: (x, 6)=(12, 6) and (10, y) = (10,5) --> x*y=12*5=60.
Answer: C
Question: In a group of people, if 30 people were made to stand in each column, 16 columns could be formed. If 32 people were made to stand in a column, how many columns could be formed?
A.15
B.20
C.25
D.30
Answer: A.15
Explanation: 16*30 = 32*n
n = 15
The answer is A.
Question: Set W consists of all the prime numbers between 10 and 25. What is the range of set W?
A.12
B.13
C.16.6
D.17
Answer: A.12
Explanation: Answer of set W is 12.
Question: Fake City has a population of 200,221 people and nine districts that are represented by nine members of the city council.They wish to redraw the district lines so that each district consists of the same amount of people. How many people would have to move into Fake City for them to achieve their goal?
A.1
B.2
C.3
D.4
Answer: B.2
Explanation: To figure this out, we use the divisibility rule of 9 to get our answer. We add the digits together and get a seven. Since we are adding people to the population, we add two(9 can be divided by 9) to people to the city to get a population of 200,223 people. Answer is option B
Question: I have an amazing bath tub having both hot and cold water taps.
The cold water tap can fill my tub in 6 hours while cold water tap can fill the tub in approx 4 hours.
I turned them on simultaneously but forgot to close the lid which remove water out of tub.
The lid can empty the tub in exact 13 hours.
Since both taps are open along with the lib , can you estimate the time needed to fill the bath tub ?
A.1 hours
B.2 hours
C.3 hours
D.4 hours
Answer: C.3 hours
Explanation: Solution:
3 hours
Explanation :
(1/4 + 1/6 - 1/12) ^ (-1)
= (1/3)^(-1) = 3
Answer C
Question: If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction?
A.33 1/8%
B.33 7/3%
C.33 1/3%
D.33 1/6%
Answer: C.33 1/3%
Explanation: 1/4 CP = 210 SP = 21*(80/100) = 168
SP = 840*(120/100) = 1008
1008 - 168 = 840
3/4 SP = 630
Gain = 210
630 --- 210
100 --- ? => 33 1/3%
Answer:C
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets 1000 more than D, what is B’s share?
A.500
B.1500
C.2000
D.1400
Answer: C.2000
Explanation: Let the shares of A, B, C and D be 5x, 2x, 4x, 3x respectively.
Then, 4x – 3x = 1000 ⇒ x = 1000
∴ B’s Share = 2x = 2000
Answer C
Question: Martha takes a road trip from point A to point B. She drives x percent of the distance at 60 miles per hour and the remainder at 40 miles per hour. If Martha's average speed for the entire trip is represented as a fraction in its reduced form, in terms of x, which of the following is the numerator?
A. 110
B. 300
C. 24,000
D. 3,000
Answer: C. 24,000
Explanation: total distance = d
total time taken = x/(100*60) + (100-x)/(100*40)
speed = distance / time
gives numerator = 24000
Answer : C
Question: The perimeter of a semi circle is 122 cm then the radius is?
A.17
B.28
C.24
D.11
Answer: C.24
Explanation: 36/7 r = 122 => r
= 24
Answer: C
Question: Five years ago, the average age of A, B, C and D was 45 years. With E Joining them now, the average of all the five is 47 years. The age of E is?
A.45
B.47
C.48
D.35
Answer: D.35
Explanation: Solution
5 years ago average age of A,B,C,D = 45 years
=> 5 years ago total age of A, B, C, D = 45 x 4 = 180 years
=> Total present age of A, B, C, D = 180 + 5x4 = 200 years
If E's present age is x years = 200+x/5= 47
x=35 years. Answer D
Question: A researcher computed the mean, the median, and the standard deviation for a set of performance scores. If15 were to be added to each score, which of these three statistics would change?
A.The mean and the median
B.The median only
C.The standard deviation only
D.The mean only
Answer: A.The mean and the median
Explanation: The correct answer is A
Question: A stock trader originally bought 300 shares of stock from a company at a total cost of m dollars. If each share was sold at 20% above the original cost per share of stock, then interns of m for how many dollars was each share sold?
A.a) 2m/300
B.b) m/300
C.c) m/200
D.d) 3m/250
Answer: D.d) 3m/250
Explanation: Let Cost of 300 shares be $ 3000
So, Cost of 1 shares be $ 10 =>m/300
Selling price per share = (100+20)/100 * m/300
Or, Selling price per share = 6/5 * m/300 => 3m/250
Hence answer will be (D)
Question: Find the value of 72514 x 9999 = m?
A.725067486
B.436567874
C.653658791
D.725117481
Answer: A.725067486
Explanation: 72514 x 9999 = 72514 x (10000 - 1)
= 72514 x 10000 - 72514 x 1
= 725140000 - 72514
= 725067486
A
Question: If e is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of e ?
A. 10
B. 12
C. 14
D. 16
Answer: C. 14
Explanation: Answer is C.
numbers in format of 3^k in the series from 1 to 30 inclusive e are: 3*1, 3*2, 3*3, 3*4, 3*5, 3*3*2, 3*7, 3*8, 3*3*3, 3*10. Total number of 3 = 13. So k=14.
Question: An enterprising businessman earns an income of Re 5 on the first day of his business. On every subsequent day, he earns an income which is just thrice of that made on the previous day. On the 10th day of business, he earns an income of:
A.21
B.22
C.20
D.45
Answer: D.45
Explanation: 2nd day he earns = 3(2 – 5)
3rd day he earns = 3(3 – 5)
On 20th day he earns 3(20 -5) = 45 rupees
ANSWER:D
Question: 2,345
2,354
2,435
.....
....
+5,432
The addition problem above shows four of the 24 different integers that can be formed by using each of the digits 2,3,4,5 exactly once in each integer. What is the sum of these 24 integers?
A.81,218
B.85,546
C.89,928
D.93,324
Answer: D.93,324
Explanation: In each of the units, tens, hundreds, and thousands place, each digit will appear 6 times.
Then the sum equals 6(2222)+6(3333)+6(4444)+6(5555) = 93,324
The answer is D.
Question: A man sitting in a train which is travelling at 60 kmph observes that a goods train, travelling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed?
A.52 kmph.
B.62 kmph.
C.72 kmph.
D.80 kmph.
Answer: A.52 kmph.
Explanation: Solution
Relative Speed	= (280 / 9)m/sec
= (280/9 x 18/5)
= 112 kmph.
Speed of the train	= (112 - 60)kmph
= 52 kmph.
Answer A
Question: If Re.1 amounts to Rs.9 over a period of 20 years. What is the rate of simple interest?
A.70%
B.47%
C.49%
D.40%
Answer: D.40%
Explanation: 8 = (1*20*R)/100
R = 40%
Answer:D
Question: The Malibu Country Club needs to drain its pool for refinishing. The hose they use to drain it can remove 60 cubic feet of water per minute. If the pool is 40 feet wide by 150 feet long by 10 feet deep and is currently at 80% capacity, how long will it take to drain the pool?
A.1000
B.800
C.600
D.700
Answer: B.800
Explanation: volume of pool = 40*150*10 cu.ft , 80% full = 40*150*10*0.8 cu.ft water is available to drain.
draining capacity =60 cu.ft /min therefore time taken = 40*150*10*0.8/ 60 min= 800 min
B
Question: An automotive test consisted of driving a car the same distance three separate times, first at an average rate of 4 miles per hour, then 5 miles per hour, then 6 miles per hour. If the test took 37 hours to complete, how many miles was the car driven during the entire test?
A.100
B.120
C.180
D.200
Answer: C.180
Explanation: x is the segment to be traveled
x/4+x/5+x/6 =37
or 74x/120 =37
x = 60miles . total distance =3*60 = 180 miles
C
Question: Tom and Bob have a total of 49 toys. If Bob has 5 more toys than Tom, how many toys does each one have?
A.65 toys
B.55 toys
C.47 toys
D.27 toys
Answer: D.27 toys
Explanation: If 5 toys are taken out of 49 toys and the remaining ones distributed to Tom and Bob, they will both have equal numbers of toys
49 - 5 = 44 for Tom and Bob
If distributed equally, each one will have
44 ? 2 = 22 toys
Bob has 5 more toys than Tom, so Bob has
22 + 5 = 27 toys
correct answer D
Question: A certain store sells all maps at one price and all books at another price. On Monday the store sold 10 maps and 8 books for a total of $22.00, and on Tuesday the store sold 20 maps and 15 books for a total of $60.00. At this store, how much less does a map sell for than a book?
A. $-5.4
B. $0.50
C. $0.75
D. $1.00
Answer: A. $-5.4
Explanation: 10x+8y=22
20x+15y=60
multiply eq 1 by 2 and eq 2 by 1
20x+16y=44
20x+15y=60
subtracting 1 from 2
y=-16
therefore
x=10.6
difference in price =-5.4
A
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 11000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is
A.14
B.21
C.22
D.23
Answer: A.14
Explanation: Sol.
Let the total number of workers be x. Then,
8000x = (10000 × 7) + 6000 ( x – 7)
‹=› 2000x = 28000
‹=› x = 14.
Answer A
Question: A rectangular floor that measures 15 meters by 18 meters is to be covered with carpet squares that each measure 3 meters by 3 meters. If the carpet squares cost $12 apiece, what is the total cost for the number of carpet squares needed to cover the floor?
A. $200
B. $240
C. $360
D. $960
Answer: C. $360
Explanation: The width of the rectangular floor(15 m) is a multiple of one side of the square(3 m), and the length of the floor(18 m) is also a multiple of the side of the square. So the number of carpets to cover the floor is (15/3)*(18/3)=30.
The total cost is 30*12=$360.
The answer is, therefore, C.
Question: Which of the following is not divisible by 3?
A.10,395
B.41,714
C.15,354
D.30,708
Answer: B.41,714
Explanation: Divisibility rule of 3: The sum of the digits of the number should be divisible by 3
Option A: 10395, Sum = 18. Divisible by 3
Option B: 41714, Sum = 17, Not divisible by 3. Hence the number 41714 is also not divisible by 3
Option C: 15354, Sum = 18, Divisible by 3
Option D: 30708, Sum = 18, Divisible by 3
Option E: 29313, Sum = 18, Divisible by 3
Correct Option: B
Question: On my sister's birthday, she was 147 cm in height, having grown 5% since the year before. How tall was she the previous year?
A.145 cm
B.140 cm
C.142 cm
D.138 cm
Answer: B.140 cm
Explanation: Let the previous year's height be x.
1.05x = 147
x = 140
The answer is B.
Question: In how many different ways can the letters of the word LEADING be arranged in such a way that the vowels always come together ?
A.39600
B.360
C.40320
D.720
Answer: D.720
Explanation: LDNG V(EAI) so 5 letters can arrange in 5!=120 and 3 vowels can arrange in 3!=6. so Ans=120*6=720
ANSWER:D
Question: Johny went up a certain hill at the rate of one and a half kilometers per hour and came down at the rate of four and a half kilometers per hour, so that it took just four hours to make the double journey. How far was it to the top of the hill ?
A.3 km
B.6 km
C.4.5 km
D.km
Answer: C.4.5 km
Explanation: Assume the distance to the top of the hill (1 way) as: x
Now, speed=distance/time => time=distance/speed
So, for the first half of the journey, he traveled uphill at 1.5km/hr, so the time taken for the first leg of the journey is: x/1.5.
For the second half, he traveled downhill at 4.5km/hr, so the time taken for the second leg of the journey is: x/4.5
Now, the total time for the trip is given as 4 hrs.
Equating, (x/1.5)+(x/4.5)=4 => (3x+x)/4.5=4 => x=4.5 km
So, the distance one side is = 4.5 km.
The OA mentioned is 9km, which is exactly double of this distance, i.e., the total distance traveled during both legs of the journey, but the question only asked for the distance till the top of the hill, i.e., one way, so the answer should be 4.5km
Can someone assist me in understanding where am I wrong here?
Question: Of the teams competing in the world archery championships, Forty percent are from Europe. Half as many are from the United States and one twentieth are from Africa. What fraction of teams are from neither Europe, the US or Africa.
A.13/20
B.15/20
C.13/15
D.7/20
Answer: D.7/20
Explanation: Half as manymeans half of EU, then
EU 40%
US 20%
AF 5%
the rest is 35%, answer D
Question: What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
A.20
B.21
C.14
D.1
Answer: A.20
Explanation: Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1. Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69.
Number of such number =14
Required percentage =14/70*100 =20%
ANSWER A
Question: A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
A.2878
B.2778
C.1000
D.2997
Answer: C.1000
Explanation: Along one edge, the number of small cubes that can be cut
= 100/10 = 10
Along each edge 10 cubes can be cut. (Along length, breadth and height). Total number of small cubes that can be cut
= 10 * 10 * 10 = 1000
Answer: C
Question: If Sam goes to the store that was having a big sale and comes home saying he got a discount of Rs.140 from the original purchase price of Rs.400. What is the percentage of the rebate that Sam got from the store?
A.20%
B.25%
C.30%
D.35%
Answer: D.35%
Explanation: Explanation:
Rebate = Rs.140; Original Price = Rs.400
% Rebate = Rs.140/Rs.400 = 0.35 = 35%
Correct Option : D