RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: (8^16)+(16^13)+(4^20) = ?
A.(4)*(2^29+1)
B.(6)*(2^48)
C.(9)*(2^49)
D.(28)*(2^53)
Answer: B.(6)*(2^48)
Explanation: I think you are assuming that (X^Y) + (X^Z) is = (X^Y+Z) which is not true, as it only applies to multiplication. Rather it would have to be (X^Y)(X^Z) = (X^YZ)
So when you simplify down to 2^48 + 2^52 + 2^48 you cannot just add exponents.
Here's how my brain works with this one,
Step 1: Recognize a common base.
(8^16) + (16^13) + (4^24) = ((2^2)^16) + ((2^4)^13) + ((2^2)^24) = (2^48) + (2^52) + (2^48)
Step 2: Recognize the factor and pull out of the equation.
= (2^48)(1 + (2^4) + 1)
= (2^48)(1 + 16 + 1)
= (2^48)(18)
Step 3: Recognize this is not an answer and adapt.
(2^48)(18) = (2^48)(2)(9) = (2^48)(6)
Answer is B.
Question: If A lends Rs.1500 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
A.112.5
B.122.5
C.132.5
D.67.5
Answer: D.67.5
Explanation: (1500*1.5*3)/100 => 67.5
ANSWER:D
Question: If the price of a computer were reduced by 16 percent, which of the following could not be the final price of the computer? (Assume initial price to be integer in cents)
A.$844.10
B.$896.70
C.$1,056.30
D.$1,136.10
Answer: A.$844.10
Explanation: Let X be the initial price of computer without discount
then price (final) after discount should be=X(1-16/100)------->X(21/25)=A(say)
means X=A*(25/21).....
so initial price to be integer(As per stem) final price must be multiple of 21(3 or 7)
if we check options all were divisible by 3 except option (A)
Answer: A
Question: the average of four consecutive even numbers is 27. find the largest of these numbers?
A.10
B.20
C.30
D.40
Answer: C.30
Explanation: Sol: let the numbers be x,x+2,x+4 andx+6. then,
(x+(x+2)+(x+4)+(x+6))/4) = 27
(4x+12)/4 = 27
x+3=27  x=24.
Therefore the largest number=(x+6)=24+6=30.
ANSWER: C
Question: In a 1000 m race, A beats B by 250 meters or 25 seconds. Find the speed of B?
A.10
B.9
C.7
D.5
Answer: A.10
Explanation: Since A beats B by 250 m or 25 seconds, i
t implies that B covers 250 m in 25 seconds.
Hence speed of B = 250/25 = 10 m/s.
Answer: A
Question: A certain number of men can finish a piece of work in 100 days. If there were 10 men less, it would take 10 days more for the work to be finished. How many men were there originally?
A.120
B.105
C.115
D.110
Answer: D.110
Explanation: Originally let there be x men.
Less men, More days (Indirect Proportion)
therefore (x-10) : x :: 100 :110
=(x-10)x 110-x(100)
= 10x= 1100
x= 110
Answer is D.
Question: A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required ?
A.34
B.40
C.68
D.88
Answer: D.88
Explanation: Solution
We have : l = 20 ft and lb = 680 sq. ft. So, b = 34 ft.
∴ Length of fencing = (l + 2b) = (20 + 68) ft = 88 ft. Answer D
Question: An investment yields an interest payment of $234 each month. If the simple annual interest rate is 9%, what is the amount of the investment?
A.$28,300
B.$30,400
C.$31,300
D.$31,200
Answer: D.$31,200
Explanation: Let the principal amount = P
Simple annual interest = 9%
Simple monthly interest = (9/12) = (3/4)%
(3/4)*(P/100) = 234
=>P = (234 *4 * 10^2 )/3
= 78*4*10^2
= 312 * 10^2=31200
Answer D
Question: The organizers of a week-long fair have hired exactly eight security guards to patrol the fairgrounds at night for the duration of the event. Exactly three guards are assigned to patrol the grounds every night, with no guard assigned consecutive nights. If the fair begins on a Monday, how many different groups of 3 guards will be available to patrol the fairgrounds on the following Saturday night?
A.6
B.8
C.10
D.12
Answer: C.10
Explanation: For any given day, only the guards patrolling on the previous day won't be available. So, 3 guards who patrolled on Friday won't be available. We are thus left with 5 guards.
To choose 3 out of 5, we will have 5C3 = 10 different groups.
The answer is C.
Question: When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.15, what is the value of y?
A.96
B.60
C.48
D.25
Answer: B.60
Explanation: Guys, one more simple funda.
5/2= 2.5
now .5 x2 =1 is the remainder
25/4 = 6.25
now .25x4=1 is the remainder
32/5=6.4
now.4x5 = 2 is the remainder
given x/y = 96.15 and remainder is 9
So .15 X y = 9
hence y= 60
Ans B
Question: If $64 amount to $ 83.20 in 2 years. what will $ 86 amount to in 4 years at the same rate percent per annum?
A.$127.40
B.$124.70
C.$114.80
D.$137.60
Answer: D.$137.60
Explanation: First, Simple interest formula is
S.I=PNR/100 Here P=$64, T=2 years and S.I=$19.20 (i.e 83.20-64)
R=((100x19.20)/(64x2))%=15%
Now P=$86, T=4 years, R=15%
so S.I=86x4x15/100=$137.60
Answer is D
Question: A certain bus driver is paid a regular rate of $15 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $982 in total compensation, how many total hours did he work that week?
A.56
B.40
C.44
D.48
Answer: A.56
Explanation: For 40 hrs = 40*15=600
Excess = 982-600=382
For extra hours =.75(15)=11.25+16=27.25
Number of extra hrs =382/27.25=14
Total hrs =40+14=56
Answer A 56
Question: The volume of a solid is given by the formula V = ab^2.
If a is doubled and b tripled, by what factor does the volume (V) increase?
A.3
B.6
C.9
D.18
Answer: D.18
Explanation: We have,
V = ab^2
After doubling a and tripling b, we have:
V = (2a)*(3b)^2
V = 2a*9b^2
V = 18ab^2
Initially V = ab^2. Now, V = 18ab^2.
Therefore, V increases by a factor of 18.
Answer = D =18
Question: A number is doubled and 5 is added. If the resultant is trebled, it becomes 129. What is that number?
A.12
B.29
C.27
D.19
Answer: D.19
Explanation: Explanation:
Let the number be x.
Therefore,
3(2x + 5) = 129
6x + 15 = 129
6x =114
x = 19
ANSWER:D
Question: A train running at the speed of 60 km/hr crosses a pole in 6 seconds. Find the length of the train?
A.100 meter
B.170 meter
C.156 meter
D.168 meter
Answer: A.100 meter
Explanation: Speed = 60*(5/18) m/sec
= 50/3 m/sec
Length of Train (Distance)
= Speed * Time
(50/3) * 6
= 100 meter
Answer:A
Question: EASY,INC recently conducted a survey and found that 60,000 of its customers live in rural areas. if the number of it customers who live in urban areas is 200 percents grater than the numbers of customers who live in rural areas, how many of EASY,INC customers live in urban areas ?
A.200,000
B.180,000
C.360,000
D.480,000
Answer: B.180,000
Explanation: Let's say that we have a starting value of X...
100% of X = X
100% MORE than X = X + X = 2X
200% MORE than X = X + 2X = 3X
300% MORE than X = X + 3X = 4X
Etc.
Here, we're told that 60,000 customers live in rural areas and the number who live in urban areas is 200% GREATER than the number who live in rural areas. That means that the number who are in urban areas is 3 times the number in rural areas...
3(60,000) = 180,000
Final Answer:B
Question: Evaluate: |7 - 8(3 - 12)| - |5 - 11| = ?
A.40
B.50
C.73
D.70
Answer: C.73
Explanation: According to order of operations, inner brackets first. Hence
|7 - 8(3 - 12)| - |5 - 11| = |7 - 8*(-9)| - |5 - 11|
According to order of operations, multiplication within absolute value signs (which may be considered as brackets when it comes to order of operations) next. Hence
= |7 + 72| - |5 - 11|
= |79| - |-6|
= 79 - 6 = 73
correct answer C)73
Question: A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?
A.34
B.40
C.68
D.88
Answer: D.88
Explanation: EXPLANATION
We have: l = 20 ft and lb = 680 sq. ft.
So, b = 34 ft.
Length of fencing = (l + 2b) = (20 + 68) ft = 88 ft.
Answer D
Question: In a set of three numbers,the difference between the largest and the second largest numbers is added to the smallest number.The average of the largest,second largest and the new number formed exceeds the average of the original three numbers by 16.The largest number exceeds the second largest number by how much ?
A.5
B.10
C.30
D.15
Answer: D.15
Explanation: Let the numbers in increasing order be A<B<C...
since the new number(N) increase the average of new set of numbers by 5 after replacing the smallest number,A,
the new number,N, exceeds the smallest,A, by 3*5=15 orN=15+A..(1)
and what is the new number,N,----C-B (diff in the largest and second largest)+A...(2)...
from (1)(2) C-B=15
Answer:D
Question: Murari and Madan Started a business with investments of Rs. 13000 and Rs. 52000. After 5 months Arun joins with a capital of Rs. 52000. At the end of a year they got a profit of Rs. 14250. Find the share of Arun.
A.Rs. 3650
B.Rs. 5250
C.Rs. 6750
D.Rs. 2250
Answer: B.Rs. 5250
Explanation: Explanation:
Rs. 5250
Answer: Option B
Question: The speed of a subway train is represented by the equation z=s^2+2s for all situations where 0≤s≤7, where z is the rate of speed in kilometers per hour and s is the time in seconds from the moment the train starts moving. In kilometers per hour, how much faster is the subway train moving after 7 seconds than it was moving after 5 seconds?
A.4
B.28
C.15
D.48
Answer: B.28
Explanation: Given: z=s^2+2s for 0≤s≤7
z(5) = 5^2 + 2*5 = 35
z(7) = 7^2 + 2*7 = 63
Therefore z(7) - z(3) = 63 - 35 = 28 km/hr
Option B
Question: Two numbers N and 12 have LCM = 42 and GCF = 6. Find N.
A.35
B.56
C.21
D.87
Answer: C.21
Explanation: The product of two integers is equal to the product of their LCM and GCF. Hence.
12* N = 42 * 6
N = 42*6 / 12 = 21 correct answer C
Question: My brother is 4 years elder to me. My father was 28 years of age when my sister was born while my mother was 26 years of age when I was born. If my sister was 4 years of age of when my brother was born, then, what was the age of my father and mother respectively when my brother was born?
A.32 yrs, 23 yrs
B.32 yrs, 29 yrs
C.32 yrs, 22 yrs
D.35 yrs, 33 yrs
Answer: C.32 yrs, 22 yrs
Explanation: Sol.
Clearly, my brother was born 4 years before I was born and 4 years after my sister was born.
So, father's age when brother was born = (28 + 4) = 32 years.
mother's age when was born = (26 - 4) years = 22 years.
Answer C
Question: A single discount equivalent to the discount series of 20%, 30% and 5% is?
A.31.9
B.31.7
C.46.8
D.31.5
Answer: C.46.8
Explanation: 100*(80/100)*(70/100)*(95/100) = 53.2
100 - 53.2 = 46.8
Answer:C
Question: A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform.
A.310 meter
B.335 meter
C.345 meter
D.350 meter
Answer: D.350 meter
Explanation: Explanation:
Speed = Distance/time = 300/18 = 50/3 m/sec
Let the length of the platform be x meters
then
Distance=Speedâˆ—Timex+300=50/3 X 39
=>3(x+300)=1950=>x=350 meters
ANSWER IS D
Question: 3x + y = 21 , and x + 3y = 1. Find the value of 2x + 2y
A.20
B.18
C.16
D.11
Answer: D.11
Explanation: Add these two equations
4x + 4y = 22
Divide by 2 ( to Get 2x + 2y)
Answer will be D. 11
Question: What is the dividend. divisor 17, the quotient is 9 and the remainder is 5?
A.140
B.143
C.144
D.158
Answer: D.158
Explanation: D = d * Q + R
D = 17 * 9 + 5
D = 153 + 5
D = 158
Question: John tossed a fair coin 3 times. What is the probability that the coin landed heads up exactly twice?
A.0.125
B.0.175
C.0.275
D.0.375
Answer: D.0.375
Explanation: The probability is exactly same as the cion landed tail up once. That is 3*(1/2)^3 = 3/8 =0.375.
The answer is, therefore, (D).
Question: A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital?
A.Rs. 7500
B.Rs. 8000
C.Rs. 8500
D.Rs. 9000
Answer: D.Rs. 9000
Explanation: A invests 3500 Rs for 12 months (Why 12 - because profit is given of 1 year) in the ratio of 2.
B invests X Rs for 7 months (Why 7 - because B joins A after 5 months and profit is given of 1 year) in the ratio of 3.
3500*12+X*7 = 2/3.
42000+7X = 2/3.
7X = 3/2*42000.
X = 9000.
ANSWER D
Question: 20 people can write 50 book in 15 days working 8 hour a day.then in how many day 200 can be written by 60 people?
A.200
B.100
C.50
D.70
Answer: B.100
Explanation: work per day epr hour per person= 50/(15*8*20) // eq-1
people= 60; let suppose day=p; per day work for 8 hours
acc. to condition
work per day epr hour per person= 200/(p*8*60) // eq-2
eq-1==eq-2;
p= 100
ANSWER:B
Question: Sandy can do a job in 21 days and Molly can do the same job in 42 days. If they work together, in how many days will they complete the job?
A.8
B.10
C.12
D.14
Answer: D.14
Explanation: Sandy can do 1/21 of the job each day.
Molly can do 1/42 of the job each day.
The combined rate is 1/21 + 1/42 = 1/14 of the job each day.
The job will take 14 days.
The answer is D.
Question: The least number which when increased by 4 each divisible by each one of 22, 32, 36 and 54 is :
A.427
B.859
C.860
D.4320
Answer: C.860
Explanation: Solution
Required number = (L.C.M. of 24, 32, 36, 54) - 4 = 864 - 4 = 860. Answer C
Question: A can give B 60 meters start and C 120 meters start in a kilometer race. How much start can B give C in a kilometer race?
A.63.83
B.111.67
C.111.64
D.111.11
Answer: A.63.83
Explanation: A runs 1000 m while B runs 940 m and C runs 880 m.
The number of meters that C runs when B runs 1000 m,
= (1000 * 880)/940=936.17 m.
B can give C = 1000 - 936.17= 63.83 m.
Answer:A
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 900 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
A.120
B.99
C.88
D.72
Answer: A.120
Explanation: Given that the area of the square = 900 sq.units
=> Side of square = √900 = 30 units
The radius of the circle = side of the square = 30 units Length of the rectangle = 2/5 * 30 = 12 units
Given that breadth = 10 units
Area of the rectangle = lb = 12 * 10 = 120 sq.units
Answer: A
Question: Of the employees in a company, 50 % are female who have a master degree. If 20 % of the female employees do not have a master degree, what percent of the employees in the company are female?
A.60%
B.62.5%
C.63.25%
D.63.5%
Answer: B.62.5%
Explanation: Let E be total no. of employees and F be total no of female employees.
Question asked what is F/E X 100%?
No. of female employees with Masters = 0.5 x E (From the question)
No. of female employees without masters = 0.2 x F (From the question)
Therefore No. of female employees with masters = F - 0.2 F = 0.8 F
The 2 expressions equal each other therefore 0.8F = 0.5E; F/E = 0.5/0.8 = 62.5%
Ans: B
Question: Rs.1540 were divided among John, Paul & Tom in such a way that John had Rs.80 more than Paul and Tom had Rs 60 more than John . How much was Paulâ€™s share?
A.Rs.575
B.Rs.580
C.Rs.585
D.Rs.590
Answer: B.Rs.580
Explanation: Let Paul gets Rs x. Then We can say John gets Rs (x + 80 ) and Tom gets Rs ( x + 140) .
x + 80 + x + x + 140 = 1540
3x = 1320
x = 440 .
Paulâ€™s share = Rs ( 440 + 140 ) = Rs.580
B
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B
A.10
B.8
C.6
D.5
Answer: A.10
Explanation: Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.
(2x + 2) + 2x + x = 27
5x = 25
x = 5.
Hence, B's age = 2x = 10 years
Answer:A
Question: A collection of books went on sale, and 2/3 of them were sold for $4 each. If none of the 36 remaining books were sold, what was the total amount received for the books that were sold?
A.$288
B.$135
C.$90
D.$60
Answer: A.$288
Explanation: Since 2/3 of the books in the collection were sold, 1/3 were not sold. The 36 unsold books represent 1/3 of the total number of books in the collection, and 2/3 of the total number of books equals 2(36) or 72. The total proceeds of the sale was 72($4) or $288. The best answer is therefore A.
Answer: A.
Question: The least number of four digits which is divisible by 15, 25, 40 and 75 is:
A.9000
B.9400
C.9600
D.9800
Answer: C.9600
Explanation: Greatest number of 4 digits is 9999. L.C.M of 15, 25, 40 and 75 is 600.
On dividing 9999 by 600, the remainder is 399. Required number = 9999 - 399 = 9600
ANSWER:C
Question: Calculate the effect changes in dimension of a rectangle will have on its area, if length is increased by 40% and its breadth is decreased by 25%?
A.5% increase
B.7% increase
C.6% increase
D.4% increase
Answer: A.5% increase
Explanation: let L and B be 100 each
100 * 100 = 10000
L increase by 40% = 140
B decrease by 25% = 75
140 * 75 = 10500
5% increase
ANSWER:A
Question: A and B complete a work in 30 days. A alone can do it in 40 days. If both together can do the work in how many days?
A.1.0875 days
B.0.1873 days
C.0.0673 days
D.0.0583 days
Answer: D.0.0583 days
Explanation: 1/30 + 1/40 = 0.0583 days
ANSWER:D
Question: A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.50 per kg. What will be his gain percent?
A.12 4/3 %
B.18 1/4 %
C.8 1/3 %
D.6 1/3 %
Answer: C.8 1/3 %
Explanation: C
C.P. of 1 kg = 420/7 = Rs. 6
S.P. of 1 kg = Rs. 6.50
Gain % = 0.50/6 * 100 = 25/3 = 8 1/3 %
Question: There are 56 lights which are functional and each is controlled by a separate On/Off switch. Two children X and Y start playing with the switches. X starts by pressing every third switch till he reaches the end. Y, thereafter, presses every fifth switch till he too reaches the end. If all switches were in Off position at the beggining, How many lights are switched On by the end of this operation?
A.18
B.19
C.17
D.15
Answer: C.17
Explanation: Editing my solution:
Number of switches = 56
Number of switches turned on by X: 3, 6, ... 54 = 18
Number of switches turned on by Y: 5, 10, ....55 = 11
Few switches are turned on by X and later turned off by Y: LCM(3,5) = 15x = 15, 30,....90 = 6.
Subtract the above 6 switches from both X and Y as they are turned off.
Number of switches that are turned on = (18- 6) + (11 - 6) = 17
Answer: C
Question: Sanoop bought 8 t-shirts at an average price (arithmetic mean) of Rs.526. If Sanoop returned 2 t-shirts to the retailer, and the average price of the remaining t-shirts was Rs.505, then what is the average price, of the three returned t-shirts?
A.560
B.589
C.562
D.563
Answer: B.589
Explanation: Total price of 8 t-shirts= 8*526=4208
Total price of 6 t-shirts=5*505=3030
Total price of 2 t-shirts=4208-3030=1178
Average price of 3 t-shirts=1178/2=589
Correct option Answer:B
Question: Thurston wrote an important seven-digit phone number on a napkin, but the last three numbers got smudged. Thurston remembers only that the last three digits contained at least one zero and at least one non-zero integer. If Thurston dials 15 phone numbers by using the readable digits followed by 15 different random combinations of three digits, each with at least one zero and at least one non-zero integer, what is the probability that he will dial the original number correctly?
A.1/9
B.10/243
C.1/18
D.10/271
Answer: C.1/18
Explanation: If the last three digits have 1 zero (XX0), the total # of numbers possible is 9*9*3 (multiply by 3 since XX0 can be arranged in 3 ways: XX0, X0X, or 0XX).
If the last three digits have 2 zeros (X00), the total # of numbers possible is 9*3 (multiply by 3 since X00 can be arranged in 3 ways: X00, 00X, or X0X).
P = 15/(9*9*3+9*3) = 1/18.
Answer: C.
Question: If six boys sit in a row, then what is the probability that three particular boys are always together is?
A.1/5
B.1/4
C.1/3
D.1/7
Answer: A.1/5
Explanation: Six boys can be arranged in a row in 6! ways.
Treat the three boys to sit together as one unit then there 4 boys and they can be arranged in 4! ways.
Again 3 boys can be arranged among them selves in 3! ways.
Favorable outcomes = 3!4!
Required probability = 3!4!/6! = 1/5
A
Question: A sum of Rs. 2665 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
A.1686
B.1640
C.6829
D.2780
Answer: B.1640
Explanation: (x*8*3)/100 = ((2665 - x)*3*5)/100
24x/100 = 39975/100 - 15x/100
39x = 39975 => x = 1025
Second sum = 2665 – 1025 = 1640
Answer: B
Question: How many meters of carpet 50cm, wide will be required to cover the floor of a room 30m * 20m?
A.1000
B.1050
C.1100
D.1200
Answer: D.1200
Explanation: 50/100 * x = 30 * 20 => x = 1200
ANSWER:D
Question: All of the students of the Music High School are in the band, the orchestra, or both. 90 percent of the students are in only one group. There are 91 students in the band. If 60 percent of the students are in the band only, how many students are in the orchestra only?
A.30
B.33
C.36
D.39
Answer: D.39
Explanation: 60% of students are in the band only, so 30% of students are in the orchestra only.
Since 10% of students are in both, then 70% of students are in the band which is 91 students.
The number of students in the orchestra is (30/70)*91 = 39.
The answer is D.
Question: Yesterday it took Robert 3 hours to drive from City A to City B. Today it took Robert 2.5 hours to drive back from City В to City A along the same route. If he had saved 30 minutes in both trips, the speed for the round trip would be 80 miles per hour. What is the distance between city A and city B?
A. 90
B. 180
C. 150
D. 240
Answer: B. 180
Explanation: 2d/80 = 4.5 ( because time = 3 + 2.5 - 1 hrs)
=> d = 180
Answer - B
Question: Six students are equally divided into 3 groups, then, the three groups were assigned to three different topics. How many different arrangements E are possible?
A. 30
B. 60
C. 90
D. 180
Answer: C. 90
Explanation: 90 is the number of ways you can assign 3 teams formed out of 12 people to 3 different tasks.
But now you can order the 3 tasks in 3! ways. T1 T2 T3 or T2 T1 T3.... etc etc.
I was confused between 90 and 540 but since question used the wordarrangementsdecided to go with complete arrangements E including the order of tasks.
could you explain the highlighted step... i'm getting 90 = 15 * 3!
suppose the students are numbered 1,2,3,4,5,6 and tasks are X,Y and Z
one of the 15 possible ways of forming teams is 12, 34, 56. these teams can be assigned to 3 tasks in 3! = 6 ways
X--	Y--	Z
12--	34--	56
12--	56--	34
34--	12--	56
34--	56--	12
56--	12--	34
56--	34--	12
so the answer should be 15*6 = 90
But now you can fruther decide which task you want to perform first X Y or Z..C
Question: The difference between the place values of two fives in the numerical 86510529 is
A.0
B.4905
C.49050
D.490500
Answer: D.490500
Explanation: Required difference = (500000-500)
=490500.
Answer is D
Question: The velocity of a falling object in a vacuum is directly proportional to the amount of time the object has been falling. If after 5 seconds an object is falling at a speed of 90 miles per hour, how fast will it be falling after 18 seconds?
A.18 miles per hour
B.90 miles per hour
C.216 miles per hour
D.324 miles per hour
Answer: D.324 miles per hour
Explanation: Since Velocity is proportional to Time
Velocity =k*Timewhere k is the constant of proportionality
Time= 5 seconds
Velocity = 5k = 90 miles per Hour
i.e. k = 18
i.e. The relation between Velocity and Time becomes
Velocity =18*Time
Time= 18 seconds
Velocity = 18*18 = 324 miles per hour
Answer: Option D
Question: A cement mixture is composed of 3 elements. By weight, 1/2 of the mixture is sand, 1/5 of the mixture is water, and the remaining 15 pounds of the mixture is gravel. What is the weight of the entire mixture in pounds?
A.30
B.40
C.50
D.60
Answer: C.50
Explanation: Let the total weight be x.
Sand content= (1/2)x
Water content= (1/5)x
Gravel=x-(1/2)x-(1/5)x=(3/10)x=15
x=50
Then answer will be C=50
Question: The speed of a boat in upstream is 30 kmph and the speed of the boat downstream is 70 kmph. Find the speed of the boat in still water and the speed of the stream?
A.10 kmph
B.20 kmph
C.12 kmph
D.97 kmph
Answer: B.20 kmph
Explanation: Speed of the boat in still water
= (30+70)/2
= 50 kmph. Speed of the stream
= (70-30)/2
= 20 kmph.
Answer: B