RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Divide 71 into 2 parts such that 1 part exceeds the other by 8. What are the 2 no.'s in that part?
A.23
B.28
C.31
D.36
Answer: C.31
Explanation: Let $let n$ be the smaller and 71 - n be the larger number. Now, since the larger number exceeds the smaller number by 7, we can form the equation
larger number – smaller number = 7
which is equivalent to
Simplifying, we have 71 - 2n = 7. This gives us 2n = 78 which implies that the larger number is . The smaller is 71-39=31.
C
Question: As a bicycle salesperson, David earns a fixed salary of $40 per week plus $6 per bicycle for the first 6 bicycles he sells, $12 per bicycle for the next 6 bicycles he sells, and $18 per bicycle for every bicycle sold after first 12. This week, he earned more than twice as much as he did last week. If he sold x bicycles last week and y bicycles this week, which of the following statements must be true? I. y<2x II. y>x III. y>3
A.I,II only
B.I only
C.II only
D.II,III only
Answer: D.II,III only
Explanation: II. y>x --> since this week, David earned more than he did last week and the total salary is in direct relationship with the # of bicycle sold, then y (# of bicycle sold this week) must be more than x (# of bicycle sold last week);
III. y>3 --> if David sold 3 bicycles this week then this week he earned 40+3*6=$58, which cannot be more than twice as much as he earned the last week, since the minimum salary is fixed to $40. So y must be more than 3;
I. y<2x --> is not always true.
Answer: D
Question: a light flashes every 20 seconds, how many times will it flash in ? of an hour?
A.550
B.600
C.650
D.180
Answer: D.180
Explanation: 1flash=20sec
for 1 min=3flashes
so for 1 hour=3*60=180 flashes.
ANSWER:D
Question: Company S produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month, 2/3 were basic and the rest were deluxe. If it takes 1.2 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?
A.3/8
B.14/31
C.7/15
D.17/35
Answer: A.3/8
Explanation: The easiest way for me is to plug in numbers.
Let the number of basic stereos produced be 40, and number of delux stereos produced be 20. Total of 60 stereos.
If it takes an hour to produce a basic stereo then it will take 1.2 hours to produce a deluxe stereo.
40 basic stereos = 40 hours.
20 delux stereos = 24 hours.
Total hours = 64.
Then the fraction would be 24/64 = 3/8. Therefore answer A.
Question: log(a(a(a)^1/4)^1/4)^1/4 here base is a.
A.0
B.21/64
C.1
D.22/63
Answer: B.21/64
Explanation: log(a(a(a^1/4)^1/4)^1/4
=> log(a(a^1+1/4)^1/4)^1/4
=> log(a(a^5/4)^1/4)^1/4
=>log(a(a^5/16)^1/4
=>log(a^1+5/16)^1/4
=>log(a^21/16)^1/4
=>log(a^21/64)
=>21/64 log(a)
=>21/64
ANSWER:B
Question: What is the CP of Rs 100 stock at 2 discount, with 1/5% brokerage?
A.99.6
B.96.2
C.97.5
D.98.2
Answer: D.98.2
Explanation: Explanation:
Use the formula,
CP= 100 â€“ discount + brokerage%
CP= 100-2+1/5
98.2
Thus the CP is Rs 98.2.
ANSWER D
Question: The average of the marks of 10 students in a class is 40. If the marks of each student are doubled, find the new average?
A.78
B.56
C.80
D.27
Answer: C.80
Explanation: Sum of the marks for the 10 students
= 10 * 40 = 400. The marks of each student are doubled, the sum also will be doubled.
The new sum = 400 * 2 = 800. So, the new average
= 800/10 = 80.
Answer: C
Question: A man can row upstream at 20 kmph and downstream at 60 kmph, and then find the speed of the man in still water?
A.27
B.29
C.40
D.20
Answer: C.40
Explanation: US = 20
DS = 60
M = (20 + 60)/2
= 40
Answer: C
Question: The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 20 are excluded, the average mark of the remaining will be 92. Find the number of students who wrote the exam.
A.15
B.25
C.30
D.45
Answer: C.30
Explanation: Let the number of students who wrote the exam be x.
Total marks of students = 80 x.
Total marks of (x - 5) students = 92(x - 5)
80x - (5 * 20) = 92(x - 5)
360 = 12x => x = 30
ANSWER:C
Question: The ratio of the ages of Anil and his son at present is 7:3. Six years hence, the ratio of the ages of the Anil's wife and the son will be 2:1. Find the ratio of the present ages of Anil and his wife?
A.6.3
B.4:3
C.5:2
D.Cannot be determined
Answer: D.Cannot be determined
Explanation: Answer: Option D
Let the present ages of anil and his son be 7x and 3x years respectively.
Let the present age of the son's mother be m years.
(m + 6)/(3x + 6) = 2/1
m = 6x + 6
Ratio of the present ages of anil and his son's mother = 7x/(6x + 6).
This cannot be found uniquely.
Question: What should come in place of the question mark(?) in the following equation? 28⁄? = ?⁄112
A.70
B.56
C.48
D.64
Answer: B.56
Explanation: 28⁄? = ?⁄112
\ ? =√28×112=56
Answer B
Question: Find the value of 72517 x 9999 = m?
A.456578972
B.436567874
C.653658791
D.725097483
Answer: D.725097483
Explanation: 72517 x 9999 = 72517 x (10000 - 1)
= 72517 x 10000 - 72517 x 1
= 725170000 - 72517
= 725097483
D
Question: On the coordinate plane , points P and B are defined by the coordinates (-1,0) and (3,3), respectively, and are connected to form a chord of a circle which also lies on the plane. If the area of the circle is (25/4) π , what are the coordinates of the center of the circle ?
A. (1.5,1)
B. (2,-5)
C. (0,0)
D. (1,1.5)
Answer: D. (1,1.5)
Explanation: Although it took me 3 mins to solve this question using all those equations, later I thought this question can be solved easily using options.
One property to keep in mind - A line passing through the centre of the circle bisects the chord (or passes from the mid point of the chord).
Now mid point of chord here is (-1+3)/2, (3+0)/2 i.e. (1,1.5) now luckily we have this in our Ans. choice. so definitely this is the ans. It also indictaes that PB is the diameter of the circle.
There can be a case when PB is not a diameter but in that case also the y-coordinate will remain same as it is the midpoint of the chord and we are moving up in the st. line to locate the centre of the circle.
If ans choices are all distinct (y cordinates) ONLY CHECK FOR Y CORDINATE and mark the ans=D
Question: A does a work in 10 days and B does the same work in 5 days. In how many days they together will do the same work ?
A.1/5
B.2/7
C.3/10
D.3/11
Answer: C.3/10
Explanation: Firstly we will find 1 day work of both A and B, then by adding we can get collective days for them,
So,
A's 1 day work = 1/10
B's 1 day work = 1/15
(A+B)'s 1 day work =
(1/10+1/5)=(1+2/10)= 3/10
C
Question: The ratio between the perimeter and the width of a rectangle is 5 : 1. If the area of the rectangle is 150 sq. cm, what is the length of the rectangle?
A.12 cm
B.15 cm
C.18 cm
D.21 cm
Answer: B.15 cm
Explanation: 2L+2W = 5W
L = 3W/2
W*L = 150
3W^2/2 = 150
W^2 = 100
W = 10
L = 3(10)/2 = 15
The answer is B.
Question: A $500 investment and a $1,500 investment have a combined yearly return of 10 percent of the total of the two investments. If the $500 investment has a yearly return of 7 percent, what percent yearly return does the $1,500 investment have?
A.9%
B.10%
C.105/8%
D.11%
Answer: D.11%
Explanation: The equation we can form the question :
Return on Total Investment = Sum of individual Investments
(500+1500)(10)=(500âˆ—7)+(1500x), where x is the return on investment of 1500.
Solving the equation, we get x = 11% ( Option D )	ANSWER:D
Question: What is the diffference between the place value and face value of 4 in the numeral 2694?
A.10
B.0
C.5
D.3
Answer: B.0
Explanation: place value of 4 = 4 * 1 = 4
face value of 4 = 4
4 - 4 = 0
B
Question: A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
A.5/5
B.5/8
C.5/3
D.5/1
Answer: B.5/8
Explanation: Two balls can be picked from nine balls in ⁹C₂ ways.
We select one white ball and one red ball from five white balls and four red balls. This can be done 5C1 . 4C1 ways.
The required probability
= (5 * 4)/⁹C₂ = 20/36
= 5/9
Answer:B
Question: Find the average of all prime numbers between 1 and 5.
A.30
B.3.6
C.5.6
D.6.6
Answer: C.5.6
Explanation: Sol.
There are five prime numbers between 1 and 5.
They are 2, 3, 5, 7, 11
âˆ´ Required average = [2 + 3+ 5+ 7+ 11 / 5] = 28/ 5 = 5.6
Answer C
Question: Cars P and Q are approaching each other on the same highway. Car P is moving at 46 mph northbound and Car Q is moving at 54 mph southbound. At 2:00 pm, they are approaching each other and 190 miles apart. Eventually they pass each other. At what clock time are they moving away from each other and 35 miles apart?
A. 3:30 pm
B. 3:45 pm
C. 4:00 pm
D. 4:15 pm
Answer: D. 4:15 pm
Explanation: Total distance, which should be covered by both cars is 190+35=225 miles.
Let t be the time so the equation will be 46t+54t=225 thus,
t=2.25 hours
Answer: D
Question: Peeta asks Katniss, 'It is 6 am as per my watch right now.Do you know what will be the time 23, 999, 998 hours later?'
Katniss knows the answer. Do you ?
A.5pm
B.6pm
C.4am
D.3am
Answer: D.3am
Explanation: D
3am
The time after 24, 000, 000 hours will be the same as it is now. We want the time 3 hours before that and thus you can deduct three hours from 9 pm. So the time will be 6 pm.
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any no. of prizes?
A.26
B.34
C.64
D.60
Answer: C.64
Explanation: Ans.(C)
Sol. In this case, repetitions are allowed, so all the three prizes can be given in 4 ways, i.e. (4 x 4 x 4) ways = 43 ways = 64 ways Or nr ways = 43 ways = 64 ways
Question: Find (7x + 4y ) / (x-2y) if x/2y = 3/2 ?
A.6
B.8
C.7
D.25
Answer: D.25
Explanation: given:
x/2y = 3/2
=> (x-2y)/2y = 1/2
=> x = 3y
Putting x = 3y in (7x+4y)/(x-3y) gives value 25.
ANSWER:D
Question: What is the next number in this series?
4,12,84,3612....
A.6526884
B.6526888
C.6626884
D.6527884
Answer: A.6526884
Explanation: ((4^2)/2)+4=12
((12^2)/2)+12=84
((84^2)/2)+84=3612
((3612^2)/2)+3612=6526884
ANSWER:A
Question: In how many ways, a committee of 5 members can be selected from 4 men and 5 ladies, consisting of 3 men and 2 ladies?
A.40
B.152
C.175
D.200
Answer: A.40
Explanation: (3 men out 4) and (2 ladies out of 5) are to be chosen
Required number of ways = (4C3 * 5C2) = 40
Answer is A
Question: In a certain lottery, the probability that a number between 12 and 20, inclusive, is drawn is 1/5 . If the probability that a number 12 or larger is drawn is 2/3 , what is the probability that a number less than or equal to 20 is drawn?
A. 8/15
B. 1/6
C. 1/3
D. 1/2
Answer: A. 8/15
Explanation: You can simply use sets concept in this question. The formula
Total = n(A) + n(B) - n(A and B) is applicable here too.
Set 1: Number 12 or larger
Set 2: Number 20 or smaller
1 = P(Set 1) + P(Set 2) - P(Set 1 and Set 2) (combined probability is 1 because every number will be either12 or moreOR20 or lessOR both)
2/3 + P(Set 2) - 1/5 = 1
P(Set 2) = 8/15
Answer (A)
Question: A car is purchased on hire-purchase. The cash price is $24 000 and the terms are a deposit of 10% of the price, then the balance to be paid off over 60 equal monthly installments. Interest is charged at 12% p.a. What is the monthly installment?
A.$503
B.$504
C.$555
D.$576
Answer: D.$576
Explanation: Explanation:
Cash price = $24 000
Deposit = 10% Ã— $24 000 = $2400
Loan amount = $24000 âˆ’ $2400
Number of payments = 60
= $21600
I=p*r*t/100
I=12960
Total amount = 21600 + 12960 = $34560
Regular payment = total amount /number of payments=576
Answer: D
Question: 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.1002
B.2899
C.1000
D.2807
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: There are 15 boys and 10 girls in a class. If three students are selected at random, in how many ways that 1 girl and 2 boys are selected ?
A.950
B.1050
C.2150
D.2050
Answer: B.1050
Explanation: n(s) = sample space = 25C3 = 2300
E = event that 1 girl and 2 boys are selected
n(E) = we have to select 2 boys from 15 and 1 girl from 10
= 15C2 * 10C1
= 1050
Ans - B
Question: consider the sequence 1,-2,3,-4,5,6.....what is the average of the first 200 terms of the sequence?
A.-1/2
B.-3/2
C.0
D.1/2
Answer: A.-1/2
Explanation: suppose n=2 => avg is (1+-2)/2= -1/2, when n=4 => avg is -1/2 , similarly for n=200 avg will be -1/2.
ANSWER:A
Question: 3 balls are drawn randomly from a bag contains 3 black, 5 red and 4 blue balls. What is the probability that the balls drawn contain balls of different colors?
A.1/3
B.1/2
C.2/11
D.3/11
Answer: D.3/11
Explanation: Total number of balls = 3 + 5 + 4 = 12
Let S be the sample space.
n(S) = Total number of ways of drawing 3 balls out of 12 = 12C3
Let E = Event of drawing 3 different coloured balls
To get 3 different coloured balls,we need to select one black ball from 3 black balls,
one red ball from 5 red balls, one blue ball from 4 blue balls
Number of ways in which this can be done = 3C1 × 5C1 × 4C1
i.e., n(E) = 3C1 × 5C1 × 4C1
P(E) = n(E)/n(S)=3C1×5C1×4C1/12C3
=3×5×4/(12×11×10/3×2×1)=3×5×4/2×11×10=3×4/2×11×2=3/11
ANSWER:D
Question: Of the four numbers, whose average is 40, the first is one-fourth of the sum of the last three. The first number is ?
A.28
B.29
C.11
D.32
Answer: D.32
Explanation: Explanation:
Let the first number be x,
Then, sum of the four numbers = x + 4x = 5x.
so, 5x/4 = 40 or x = (40 * 4) / 5 = 32
Answer: D
Question: In a group of buffaloes and ducks, the number of legs are 24 more than twice the number of heads. What is the number of buffaloes in the group ?
A.6
B.10
C.8
D.12
Answer: D.12
Explanation: Explanation:
Let the number of buffaoes be x and number of ducks be y.
Then 4x + 2y = 2(x + y) + 24
=> 2x = 24
=> x = 12.
Answer: D
Question: 7.51 8.22 7.86 8.36
8.09 7.83 8.30 8.01
7.73 8.25 7.96 8.53
A vending machine is designed to dispense 8 ounces of coffee into a cup. After a test that recorded the number of ounces of coffee in each of 1000 cups dispensed by the vending machine, the 12 listed amounts, in ounces, were selected from the data above. If the 1000 recorded amounts have a mean of 8.5 ounces and a standard deviation of 0.2 ounces, how many of the 12 listed amounts are within 1.5 standard deviation of the mean?
A.Four
B.Five
C.Nine
D.Ten
Answer: B.Five
Explanation: Mean = 8.5
Standard Deviation = 0.2
within 1.5 standard deviation of the mean
i.e. 1.5 standard deviation ABOVE the mean = 8.5+1.5*0.2 = 8.8
and 1.5 standard deviation BELOW the mean = 8.5-1.5*0.2 = 8.2
hence, 5 values fall within 1.5 SD from Mean
Answer: Option B
Question: Vinoth can complete a painting work in 20 days. Prakash can do the same work in 25 days. They start the work together but Vinoth quit after 3 days of work. How many days are required to complete the remaining painting work by Prakash.
A.15.25 days
B.16.25 days
C.17.25 days
D.18.25 days
Answer: D.18.25 days
Explanation: Vinoth can complete the painting work in one day is 1/20
Prakash can complete the same work in one day is 1/25
Both of them can complete the work in 1/20+ days=9/100( 1/20+1/25)
they must have completed in three days=9/100*3=27/100
Remaining work to be done is by Prakash =1-27/100=73/100
For one work, Prakash can do in 25 days
For 73/100 work, he can do in 73/100*25=73/4days or 18.25 days
ANSWER:D
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good
A.125/126
B.125/129
C.125/128
D.125/124
Answer: A.125/126
Explanation: Required probability = 1 - 1/126 = 125/126.Answer:A
Question: If 180/x is an integer and 108/x is an integer, which of the following must be true?
I. 9/x is an integer.
II. 12/x is an integer.
III. 36/x is an integer.
A.I, II, and III
B.III only
C.I and II only
D.II and III only
Answer: B.III only
Explanation: The largest possible value of x is 36 (the greatest common factor of 180 and 108), and if x=36 then
B
Question: A train passes a station platform in 35 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.120 m
B.225 m
C.300 m
D.360 m
Answer: B.225 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)/35	= 15
x + 300 = 525
x = 225 m.Answer: Option B
Question: Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:
A.4
B.5
C.6
D.8
Answer: A.4
Explanation: Explanation:
N = H.C.F. of (4665 - 1305), (6905 - 4665) and (6905 - 1305)
= H.C.F. of 3360, 2240 and 5600 = 1120.
Sum of digits in N = ( 1 + 1 + 2 + 0 ) = 4
ANSWER IS A
Question: In a simultaneous throw of two coins, the probability of getting at least one head is
A.1/2
B.1/3
C.2/3
D.3/4
Answer: D.3/4
Explanation: Here S={HH, HT, TH, TT}
Let E = event of getting at least one head = {HT, TH, HH}
Therefore P(E) = n(E)/n(S) = 3/4
Answer D.
Question: A train 120 m long crosses a platform 120 m long in 6 sec; find the speed of the train?
A.144 kmph
B.58 kmph
C.54 kmph
D.94 kmph
Answer: A.144 kmph
Explanation: D = 120 + 120 = 240
T = 6
S = 240/6 * 18/5 = 144 kmph
Answer: A
Question: Find the largest number of four digits which is exactly divisible by 27,18,12,15
A.9700
B.9710
C.9720
D.9730
Answer: C.9720
Explanation: Explanation:
LCM of 27-18-12-15 is 540.
After dividing 9999 by 540 we get 279 remainder.
So answer will be 9999-279 = 9720
Answer: Option C
Question: Jones covered a distance of 50 miles on his first trip. On a later trip he traveled 300 miles while going three times as fast. His new time compared with the old time was:
A.three times as much
B.twice as much
C.a third as much
D.half as much
Answer: B.twice as much
Explanation: et speed of the 1st trip x miles / hr. and speed of the 2nd trip 3x / hr.
We know that
Speed = Distance/Time.
Or, Time = Distance/Speed.
So, times taken to covered a distance of 50 miles on his first trip = 50/x hr.
And times taken to covered a distance of 300 miles on his later trip = 300/3x hr.
= 100/x hr.
So we can clearly see that his new time compared with the old time was: twice as much.
Question: The contents of a certain box consist of 24 oranges and 30 kiwis. How many kiwis must be added to the box so that exactly 30% of the pieces of fruit in the box will be oranges?
A. 24
B. 26
C. 30
D. 46
Answer: B. 26
Explanation: oranges = (oranges + kiwi + x)*0.3
24 = (30 + 24 + x)*0.3
x = 26.
Answer: B.
Question: A train 250 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
A.32
B.28
C.29
D.44
Answer: D.44
Explanation: S = (250 + 300)/45 = 550/45 * 18/5 =44
Answer: D
Question: A side of an equilateral triangle is tripled. If the previous parameter is 3x, what is the length of one of the sides before it was tripled?
A.4x
B.3x
C.1x
D.2x
Answer: C.1x
Explanation: If the parameter before it was tripled 3x, one of the sides must have been 3x/3. This reduces to 1x. Answer option C.
Question: If 9 engines consume 24 metric tonnes of coal, when each is working 8 hoursday, bow much coal will be required for 8 engines, each running 13hours a day, it being given that 3 engines of former type consume as much as 4 engines of latter type?
A.22
B.24
C.26
D.28
Answer: C.26
Explanation: Let 3 engines of former type consume 1 unit in 1 hour.
Then, 4 engines of latter type consume 1 unit in 1 hour.
Therefore 1 engine of former type consumes(1/3) unit in 1 hour.
1 engine of latter type consumes(1/4) unit in 1 hour.
Let the required consumption of coal be x units.
Less engines, Less coal consumed (direct proportion)
More working hours, More coal consumed (direct proportion)
Less rate of consumption, Less coal consumed(direct prportion)
Number of engines 9: 8
Working hours	8 : 13 } :: 24 : x
Rate of consumption (1/3):(1/4)
[ 9 x 8 x (1/3) x x) = (8 x 13 x (1/4) x 24 ) = 24x = 624 = x = 26.
Hence, the required consumption of coal = 26 metric tonnes.
Answer is C.
Question: An individual deposited 20% of 25% of 30% of what he had into his account with a bank. If he deposited Rs.750, how much was he having initially with him before depositing?
A.Rs.500000
B.Rs.50000
C.Rs.5000
D.Rs.15000
Answer: B.Rs.50000
Explanation: let x amount he has then 20% of 25% of 30% of x=750
so x=50000
ANSWER:B
Question: At what angle the hands of a clock are inclined at 15 minutes past 5?
A.117/2Â°
B.64Â°
C.135/2Â°
D.145/2Â°
Answer: C.135/2Â°
Explanation: Apply the formula:
30h-11/2m=Angle
30*5-11/2*15
150-165/2=135/2
ANSWER:C
Question: A man walks a certain distance and rides back in 6 1⁄4h. He can walk both ways in 7 3⁄4h. How long it would take to ride both ways ?
A.5 hours
B.4 1⁄2 hours
C.4 3⁄4 hours
D.6 hours
Answer: C.4 3⁄4 hours
Explanation: We know that, the relation in time taken with two different modes of transport is
twalk both + tride both = 2 (twalk + tride)
31⁄4 + tride both = 2 × 25⁄4
⇒ tride both = 25⁄2 - 31⁄4 = 19⁄4 = 43⁄4 hours
Answer C
Question: It is only in the second option we find the sentence A in continuation with the opening sentence D. Sentence A alone explains, why the fear has such enormous effect on the human beings.
A.28
B.99
C.728
D.27
Answer: B.99
Explanation: Answer:B
Question: What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent?
A.266
B.500
C.287
D.26
Answer: B.500
Explanation: 70 = (P*4*7/2)/100
P = 500
Answer: B
Question: If x > 1, which of the following decreases as x decreases?
I. x + x^2
II. 1/(2x^2 − x)
III. 1/(x + 1)
A.I only
B.II only
C.III only
D.I and II only
Answer: A.I only
Explanation: let x= 4 and 3 b old and new values
ST1: x= 4 -> 4+16 = 20
x=3-> 3+9 = 12 ...decreased
ST2:x= 4-> 2*16-4 = 1/28
x=3->2*9-3 = 1/15
increased
St3: x=4-> 1/4 = .25
x=3->1/3 = .33
Ans: A
Question: the hiker walking at a constant rate of 7 miles per hour is passed by a cyclist traveling in the same direction along the same path at 28 miles per hour. the cyclist stops to wait for the hiker 5 minutes after passing her, while the hiker continues to walk at her constant rate, how many minutes must the cyclist wait until the hiker catches up?
A.10
B.15
C.20
D.25
Answer: B.15
Explanation: For the 5 minutes the cyclist continues to overtake the hiker, she is going at 21 miles per hour faster than the hiker.
Once the cyclist stops, the hiker is going at 7 miles per hour while the cyclist is at rest
So the amount of time the hiker will take to cover the distance between them is going to be in the ratio of the relative speeds. 21/7 * 5 or 15 minutes
Answer is (B)
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
A.140 sq.units
B.186 sq.units
C.176 sq.units
D.865 sq.units
Answer: A.140 sq.units
Explanation: Given that the area of the square = 1225 sq.units
=> Side of square
= √1225 = 35 units
The radius of the circle
= side of the square
= 35 units Length of the rectangle
= 2/5 * 35
= 14 units
Given that breadth
= 10 units
Area of the rectangle
= lb = 14 * 10
= 140 sq.units
Answer:A
Question: Which of the following is a prime number ?
A.33
B.81
C.93
D.97
Answer: D.97
Explanation: Explanation:
Clearly, 97 is a prime number.
ANSWER IS D
Question: The average age of 19 persons in a office is 15 years. Out of these, the average age of 5 of them is 14 years and that of the other 9 persons is 16 years. The age of the 15th person is?
A.9
B.71
C.85
D.92
Answer: B.71
Explanation: Age of the 15th student = 19*15 - (14*5+16*9) = 285-214 = 71 years
Answer is B