RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Three runners T, B and C run a race, with runner T finishing 12m ahead of runner B and 18m ahead of runner C, while runner B finishes 8m ahead of runner C. Each runner travels entire distance at a constant speed. What was the length of the race?
A.36m
B.48m
C.60m
D.72m
Answer: B.48m
Explanation: Let distance of race be x mtrs. Then when T finishes x m , B has run (x- 12)mtrs and C has run x-18 mtrs. so at this point B is 6 m ahead of C. Now to finish race b needs to run another 12 m, so he runs another 12 m. when B finishes race he is 8 m ahead of C. so last 12 m B has run, C has run 10 m.
as speeds are constant, we have equation,
x-12/ x-18 = 12/10 > x = 48.
Answer B
Question: Due to a reduction of 25/4% in the price of sugar, a man is able to buy 1 kg more for Rs. 120. Find the original rate of sugar.
A.7
B.8
C.8.5
D.9
Answer: B.8
Explanation: Rate reduced by 6.25%,
So amount Rs 120 reduced by= (6.25/100) * 120 = 7.5
So in Rs 7.5 extra sugar obtained is 1 kg
i.e. new rate is Rs. 7.5 per kg
Thus original rate = [7.5 / (100 – 6.25)]/100
= 7.5 / 0.9375 = Rs. 8
ANSWER :OPTION B
Question: A train is 360 meter long is running at a speed of 30 km/hour. In what time will it pass a bridge of 140 meter length?
A.87
B.69
C.60
D.72
Answer: C.60
Explanation: Speed = 30 Km/hr = 30*(5/18) m/sec = 25/3 m/sec
Total distance = 360+140 = 500 meter
Time = Distance/speed
= 500 * (3/25) = 60 seconds
Answer: C
Question: A sum of Rs. 14,000 amounts to Rs. 22,400 in 12 years at the rate of simple interest. What is the rate of interest?
A.7%
B.6%
C.5%
D.4%
Answer: C.5%
Explanation: Explanation :
Simple Interest for 12 years (SI) = (22400 - 14000) = Rs.8400
R = ?
T = 12 years
P = Rs. 14000
R=100×SI/PT=100×8400/14000×12
=5%
Answer : Option C
Question: The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square?
A.277 cm
B.800 cm
C.626 cm
D.245 cm
Answer: B.800 cm
Explanation: Area of the square = s * s = 5(125 * 64)
=> s = 25 * 8 = 200 cm
Perimeter of the square = 4 * 200 = 800 cm.
Answer: B
Question: What is the remainder of E=3^19 when divided by 10?
A.0
B.1
C.5
D.7
Answer: D.7
Explanation: I looked for patterns:
^2 - units digit 9
^3 - units digit 7
^4 - units digit 1
^5 - units digit 3
hence, we can see that when raised to a power which is multiple of 4, the units digit is 1, and when to an even power not multiple of 4, the units digit is 9
and we can then see:
^16 - units digit 1, or
^18 - units digit 9
and ^19 - units digit 7
therefore, E=when divided by 10, the remainder must be 7.D
Question: What is 1 percent of 12,356?
A.123.56
B.1.2356
C.12.356
D.0.012356
Answer: A.123.56
Explanation: Since, Percent=1/100, what=something(s), and is:=. We can write the question as s=1(1/100)12,356. The answer is 123.56. Hence, the correct answer is A.
Question: Jerry went to a shop and bought things worth Rs. 25, out of which 30 $ went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
A.19
B.19.7
C.21.3
D.21.5
Answer: B.19.7
Explanation: Total cost of the items he purchased = Rs.25
Given that out of this Rs.25, 30 $ is given as tax
=> Total tax incurred = 30 $ = Rs.30/100
Let the cost of the tax free items = x
Given that tax rate = 6%
∴ (25−30/100−x)6/100 = 30/100
⇒ 6(25 −0.3 −x) = 30
⇒ (25 − 0.3 − x) = 5
⇒ x = 25 − 0.3 − 5 = 19.7
B)
Question: In what time will a train 140 m long cross an electric pole, it its speed be 108 km/hr?
A.2.5
B.4.7
C.2.9
D.2.3
Answer: B.4.7
Explanation: Speed = 108 * 5/18 = 30 m/sec
Time taken = 140/30
= 4.7 sec.
Answer: B
Question: In the formula V = 1/(2r)^2, if r is halved, then V is multiplied by
A.2
B.8
C.1
D.1/8
Answer: A.2
Explanation: Say r=2 => V1 = 1/16
when r=1; V2 = 1/4
V2 = 2*V1.
Answer=A=2
Question: Abhijit started a business investing 60000. Anuja joined him after six months with an amount of 110000 and Sunil joined them with 1.2 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Abhijit, Anuja and Sunil respectively, three years after Abhijit started the business?
A.15 :18 :32
B.24 :32 :26
C.36 : 55 :48
D.26 :12 :24
Answer: C.36 : 55 :48
Explanation: Ratio of their investments
= 60 × 36 : 110 × 30 : 120 × 24 = 36 : 55 : 48
Answer C
Question: When a train moves at an average speed of 100 kmph it reaches its destination on time. When its average speed becomes 80 kmph, then it reaches its destination 20 minutes late. Find the length of journey rounded to two decimal places.
A.99.33 km
B.133.33 km
C.125.33 km
D.156.66 km
Answer: B.133.33 km
Explanation: Sol.
Difference between timings = 20 min = 1/3 hr.
Let the length of journey be x km.
Then, x/80 - x/100 = 1/3
â‡” 5x - 4x = 133.33
â‡” x = 133.33 km.
Answer B
Question: The price of a T.V. set worth Rs. 20000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
A.22678
B.26699
C.26788
D.19000
Answer: D.19000
Explanation: Money paid in cash = Rs. 1000
Balance payment = (20000 - 1000) = Rs. 19000
Answer: D
Question: There are 10 flavors of ice cream, 3 types of nuts and 5 types of fruit at an ice cream store. If a person can choose 2 ice cream flavors as base, 2 types of nuts and 2 types of fruit. How many different variations are possible if repetition is allowed ?
A.150
B.250
C.22500
D.225
Answer: C.22500
Explanation: Ice cream flavors: 10x10 = 100
Nuts: 3x3 = 9
Fruit: 5x5 = 25
Total = 22500
Answer: C
Question: What no. should be subtracted from x^3+4x^2−7x+12x^3+4x^2−7x+12, if it is to be perfectly divisible by x+3x+3?
A.38
B.42
C.45
D.46
Answer: B.42
Explanation: According to remainder theorem when dfracf(x)x+adfracf(x)x+a, then the remainder is f(−a)f(−a).
In this case, as x+3x+3 divides x3+4x2−7x+12–kx3+4x2−7x+12–k perfectly (kk being the number to be subtracted), the remainder is 0 when the value of xx is substituted by -3.
i.e., (−3)3+4(−3)2−7(−3)+12−k=0(−3)3+4(−3)2−7(−3)+12−k=0
or −27+36+21+12=k−27+36+21+12=k
or k=k= 42
B
Question: A number of 9 digits has the following properties: The number comprising the leftmost two digits is divisible by 2, that comprising the leftmost three digits is divisible by 3, the leftmost four by 4, the leftmost five by 5, and so on for the nine digits of the number i.e. the number formed from the first n digits is divisible by n, 2
A.381654729
B.381654728
C.381655729
D.381754729
Answer: A.381654729
Explanation: 381654729
because 38 is divided by 2
381 is divided by 3
3816 is divided by 4
38165 is divided by 5
381654 is divided by 6
3816547 is divided by 7
38165472 is divided by 8
381654729 is divided by 9
ANSWER:A
Question: A room is a square of side 50 feet. A second room is of area
100 square yards. A third room is of area 200 square feet.
Which of these can seat maximum people? (Hint:1 yard=3
feet)
A.200 sq feet
B.300 sq feet
C.400 sq feet
D.500 sq feet
Answer: A.200 sq feet
Explanation: first room because area 50*50=2500 sq feet
second room area 100 sq yard in feet 300 sq feet
third room area 200 sq feet
ANSWER:A
Question: What is the price of a banana?
(a) 14 banana and 35 oranges cost Rs. 84
(b) with a 50% discount on banana, Rs. 12 can buy 4 bananas and 5 oranges
A.1
B.2
C.3
D.4
Answer: A.1
Explanation: 14X1+35X2=84
4XO.5+5X2=12
So price of banana =1 and orange=2
ANSWER:A
Question: The diference of two numbers is 20% of the larger number, if the smaller number is 20, then the larger number is :
A.33
B.25
C.76
D.28
Answer: B.25
Explanation: Explanation:
Let the large number be x.
Then x - 20 = 20x/100 <=> x - x/5 = 20 => x = 25.
Answer: B) 25
Question: In the fifth grade at Parkway elementary school there are 420 students. 312 students are boys and 250 students are playing soccer. 78% of the students that play soccer are boys. How many girl student are in Parkway that is not playing soccer?
A.69.
B.73.
C.53
D.91
Answer: C.53
Explanation: Total students = 420
Boys = 312, Girls = 108
Total playing soccer = 250
78%of 250 = 195 are boys who play soccer.
Girls who play soccer = 55.
Total girls who do not play soccer = 108 - 55 = 53.
Correct option: C
Question: If an item that originally sold for w dollars was marked up by u percent and then discounted by v percent, which of the following expressions represents the final price of the item?
A.(10,000w + 100w(u – v) – uvw)/10,000
B.(10,000w + 100w(v – u) – uvw)/10,000
C.(100w(u – v) – uvw)/10000
D.(100w(v – u) – uvw)/10000
Answer: A.(10,000w + 100w(u – v) – uvw)/10,000
Explanation: Assume w=100, u=10, v=10. So final price is 99. Now put these value each option. Only option A will give right answer.
Question: A chemist mixes one liter of pure water with x liters of a 60% salt solution, and the resulting mixture is a 20% salt solution. What is the value of x?
A.1/4
B.1/3
C.1/2
D.1
Answer: C.1/2
Explanation: Concentration of salt in pure solution = 0
Concentration of salt in salt solution = 60%
Concentration of salt in the mixed solution = 20%
The pure solution and the salt solution is mixed in the ratio of --> (60 - 20)/(20 - 0) = 2/1
1/x = 2/1
x = 1/2
Answer: C
Question: How many of the following numbers are divisible by 132 ?
264, 396, 462, 792, 968, 2178, 5184, 6336
A.3
B.4
C.5
D.6
Answer: B.4
Explanation: B
4
By using your calculator you can calculate that the following numbers are divisible by 132 : 264, 396, 792 and 6336.
Required number of number = 4.
Question: In a bag, there are 5 green, 6 black and 7 red pens. One pen is picked up randomly. What is the probability that it is neither red nor green?
A.5/18
B.7/18
C.1/3
D.1/2
Answer: C.1/3
Explanation: Explanation :
Neither red nor green means the pen drawn is black.
Total number of outcomes = (5+6+7) = 18.
Number of Favourable outcomes = 6 = Number of black pens.
Hence, Probability of the event = 6/18 = 1/3.
Answer : C
Question: The ratio of earnings of A and B is 4:5. If the earnings of A increase by 20% and the earnings of B decrease by 20%, the new ratio of their earnings becomes 6:5. What are A's earnings?
A.375099
B.37500
C.27899
D.28778
Answer: B.37500
Explanation: Explanation:
Let length = x meters, then breadth = 0.6x
Given that perimeter = 800 meters
=> 2[ x + 0.6x] = 800
=> x = 250 m
Length = 250m and breadth = 0.6 * 250 = 150m
Area = 250 * 150 = 37500 \fn_jvn {\color{Blue}m^{2}}
Answer: B
Question: Magnabulk Corp sells boxes holding z magnets each. The boxes are shipped in crates, each holding b boxes. What is the price charged per magnet, in cents, if Magnabulk charges m dollars for each crate?
A.100m/(bz)
B.100bz/m
C.bz/(100m)
D.m/(bz)
Answer: A.100m/(bz)
Explanation: We're given some facts to work with:
1) Magnabulk Corp sells boxes holding Z magnets each.
2) The boxes are shipped in crates, each holding B boxes.
3) Magnabulk charges M DOLLARS for each crate
We're asked for the price charged per magnet, in CENTS....
IF....
Z = 2
B = 3
M = 12
(2 magnets per crate)(3 crates) = 6 magnets
$12 for 6 magnets = $2 per magnet = 200 cents per magnet
So we're looking for an answer that equals 200 when Z=2, B=3 and M=12. There's only one answer that matches...
Answer is A
Question: In a 100m race, Sam beats John by 5 seconds. On the contrary, if Sam allowed John to start 35m ahead of Sam, then Sam and John reach the finishing point at the same time. How long does Sam take to run the 100m race?
A.13 seconds
B.25 seconds
C.29 seconds
D.21 seconds
Answer: A.13 seconds
Explanation: Their difference is 5 second but this difference is 0 if john allows Sam to start the race from 35m ahead . that means Jhon was 35m away from finishing line when they started together . so He will cover 35 m in 5 seconds . so his speed =35/5=7 metre / second . so time taken =100/5=20 seconds . so Sam took = 13 seconds .
correct answer = A
Question: The traffic lights at three different road crossings change after every 48 sec., 72 sec and 108 sec. respectively .If they all change simultaneously at 8:20:00 hours, then at what time they again change simultaneously .
A.8:27:12
B.8:25:12
C.8:26:12
D.8:24:12
Answer: A.8:27:12
Explanation: Interval of change = (L.C.M of 48,72,108)sec.=432sec.
So, the lights will agin change simultaneously after every 432 seconds i.e,7 min.12sec
Hence , next simultaneous change will take place at 8:27:12 hrs.
Answer is A.
Question: The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child?
A.7 years
B.9 years
C.6 years
D.4 years
Answer: D.4 years
Explanation: 28 * 2 = 56
20 * 3 = 60
-----------
4 years
Answer: D
Question: If in a certain sequence of consecutive multiples of 50, the median is 525, and the greatest term is 950, how many terms that are smaller than 525 are there in the sequence?
A.6
B.9
C.8
D.12
Answer: B.9
Explanation: Since the median is 525 we know there must be a even number of integers because 50 is not a multiple of 525.
So the list around 525 must go.500 (525) 550 600 650 700 750 800 850 900 950
Since we know there are 9 numbers greater than 525 then there must be 9 numbers less then 525.
answer:B
Question: If the average marks of three batches of 49, 60 and 45 students respectively is 50, 55, 60, then the
average marks of all the students is
A.54.87
B.54.68
C.54.6
D.54.58
Answer: A.54.87
Explanation: Explanation:
=(49*50+60*55+45*60)/(49+60+45)=54.87
Answer: Option A
Question: 1/4 of all the juniors and 2/3 of all the seniors are going on a trip. If there are 2/3 as many juniors as seniors, what fraction of the students are not going on the trip?
A.4/9
B.1/2
C.2/3
D.1/3
Answer: B.1/2
Explanation: J be the number of Juniors and S be the number of Seniors.
there are 2/3 as many juniors as seniors
23∗S=J
J/S=23
Going on Trip = J4+23∗S
Fraction = (J4+23S)/(J+S)
= (2/3*1/4 + 2/3 )/ (2/3 +1 )
= 1/2
Fraction not on trip = 1/2
ANSWER:B
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
A.1/455
B.1/478
C.1/428
D.1/459
Answer: A.1/455
Explanation: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.
Probability that all the three marbles picked at random are blue
= ³C₃/¹⁵C₃ = (1 * 3 * 2 * 1)/(15 * 14 * 13)
= 1/455
Answer:A
Question: An empty fuel tank is filled with brand Z gasoline. When the tank is half empty, it is filled with brand Y gasoline. When the tank is half empty again, it is filled with brand Z gasoline. When the tank is half empty again, it is filled with brand Y gasoline. At this time, what percent J of the gasoline in the tank is brand Z?
A.50%
B.40%
C.37.5%
D.331⁄3%
Answer: C.37.5%
Explanation: Work with fraction of brand Z in the tank.
1st step: brand Z is 1
2nd step: brand Z is 1/2
3rd step: brand Z is (1/2)*(1/2) + 1/2 = 3/4
4th step: brand Z is (1/2)*(3/4) J= 3/8 = 37.5%
Answer (C)
Question: For any a and b that satisfy |a – b| = b – a and a > 0, then |a + 4| + |-b| + |b – a| + |ab| =
A.a-b+4
B.ab-b+4
C.ab + 2b + 4
D.2ab+b+2
Answer: C.ab + 2b + 4
Explanation: Observation-1: |a – b| = b – a
which is possible only when signs of a and b are Same
Since Given a > 0
so we figure out that a and b are both positive
Observation-2: |a – b| must be Non-Negative and so should be the value of b-a which is possible only when absolute value of b is greater than or equal to absolute value of a
Now you may choose the values of a and b based on above observations
e.g. b = 4 and a=1 and check the value of given functions and options
|a + 4| + |-b| + |b – a| + |ab| = |1 + 4| + |-4| + |4 – 1| + |1*4| = 16
ab + 2b + 4= 1*4+8+4=16
all other options are not equal to 16
Answer : C
Question: The cost of 10 grams of gold was $75 in 2001. In 2015, the price had increased to $400. What was the percent increase in the cost of the 10 grams of gold?
A.255%
B.433.3%
C.325%
D.125.5%
Answer: B.433.3%
Explanation: Increase = 400-75 = 325
% increase = 325*100/75 = 433.3%
Answer: option B
Question: Solve for x and check: 25x = 675
A.675
B.725
C.895
D.1025
Answer: A.675
Explanation: Solution : Dividing each side by 25, we obtain
(25x/675)=(675/25)
Therefore : x=27
Check :
25x=675
(25*27)=675
675=675
ANSWER : A
Question: A, B and C invests Rs.2000, Rs.3000 and Rs.4000 in a business. After one year A removed his money; B and C continued the business for one more year. If the net profit after 2 years be Rs.3200, then A's share in the profit is?
A.276
B.289
C.220
D.400
Answer: D.400
Explanation: 2*12 : 3*12 : 4*24
1: 3: 4
1/8 * 3200 = 400
Answer: D
Question: a box contains 12 marbels of 3 different colours green,yellow and blue 4each,if you were to close your eyes and pick them at random how many marbels must you take out to be sure that there are at least two of each colour among the marbels you picked out?
A.4
B.5
C.6
D.7
Answer: A.4
Explanation: you have 12 marbles:
g g g g y y y y b b b b
In order to definitely 2 of one color --
So you take out g y b. Then the next one you take will be the 2nd for one of these marbles. So you need to take out 4.
ANSWER:A
Question: A batsman scored 90 runs which included 2 boundaries and 7 sixes. What percent of his total score did he make by running between the wickets.
A.30%
B.40%
C.44.44%
D.60%
Answer: C.44.44%
Explanation: Explanation:
Number of runs made by running = 90 - (2 x 4 + 7 x 6)
= 90- (50)
= 40
Now, we need to calculate 40 is what percent of 90.
=> 40/90 * 100 = 44.44 %
Option C
Question: In a simultaneous throw of 2 dice what is the probability of getting a total of 8?
A.2/13
B.3/45
C.5/36
D.6/73
Answer: C.5/36
Explanation: n(S) = 6*6 = 36
E = {(2,6),(3,5),(4,4),(5,3),(6,2)}
Probability = 5/36
Answer is C
Question: A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 26000, then the share of A is?
A.s.14028
B.s.14000
C.s.14003
D.s.14029
Answer: B.s.14000
Explanation: Ratio of investments of A and B is (70000 * 12) : (120000 * 6) = 7 : 6
Total profit = Rs. 26000
Share of B = 7/13 (26000) = Rs.14000
Answer: B
Question: city A to city B, Andrew drove for 1 hour at 50 mph and for 3 hours at 60 mph. What was the average speed for the whole trip?
A.45
B.57.5
C.58
D.59.5
Answer: B.57.5
Explanation: The total distance is 1×50+3×60=2301×50+3×60=230. And the total time is 4 hours. Hence,
Average Speed=(Total DistanceTotal Time)=2304=57.5
B
Question: A man’s current age is (2/5) of the age of his father. After 8 years, he will be (1/2) of the age of his father. What is the age of father at now?
A.40
B.45
C.38
D.50
Answer: A.40
Explanation: A
40
Let, father’s current age is A years.
Then, Man’s current age =[ (2/5)A ]years.
Therefore, [ (2/5)A + 8 ]= (1/2)(A + 8)
2(2A + 40) = 5(A + 8)
A = 40
Question: A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
A.7500
B.7509
C.7507
D.7505
Answer: A.7500
Explanation: A:B:C = (20000 * 24) : (15000 * 24) : (20000 * 18) = 4:3:3
B's share = 25000 * 3/10 = Rs. 7500.
Answer: A
Question: When a person aged 39 is added to a group of n people, the average age increases by 2. When a person aged 15 is added instead, the average age decreases by 1. What is the value of E?
A. 7
B. 8
C. 9
D. 10
Answer: A. 7
Explanation: A simple and elegant solution.
As addition of 39, shifts mean by 2, and addition of 15, shifts mean by 1 to the other side, we have the mean lying between 3915, and in a ratio of 2:1
39-15 = 24
24 divide by 3 is 8.
Meaning mean of the n terms is 15+8 = 39-16 = 23
Now, from first statement, When a person aged 39 is added to a group of n people, the average age increases by 2.
E*23 +39 = 25*(E+1)
E = 7
Ans. (A)
Question: The average age of 4 boys is 25 years and their ages are in the proportion 3:5:7. The age of the youngest boy is?
A.10years
B.15years
C.20years
D.25years
Answer: C.20years
Explanation: Total age of 4 boys = 25*4 = 100
ratio of their ages = 3:5:7
Age of the youngest = 100*3/15 = 20 years
Answer is C
Question: A garden center sells a certain grass seed in 5-pound bags at $13.82 per bag, 10-pound bags at $20.43 per bag, and 25-pound bags $32.25	per bag. If a customer is to buy at least	65 pounds of the grass seed,	but no more than 80 pounds,	what is the least possible cost of the grass seed that the customer will buy?
A.$94.03
B.$96.75
C.$98.75
D.$102.07
Answer: C.$98.75
Explanation: there can be 2 cases
1)25+25+10+5=$98.75 or
2)25+25+25=$96.75
C
Question: The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is:
A.15 cm
B.25 cm
C.35 cm
D.40 cm
Answer: C.35 cm
Explanation: Required length = H.C.F. of 700 cm, 385 cm and 1295 cm = 35 cm
Answer: Option C
Question: If x>y>0, which of the following must be true:
I. x^2<y^2
II. x^3 > y^3
III. |x|<y
A.I only
B.II only
C.III only
D.II and III
Answer: B.II only
Explanation: Assuming x and y to be integers
X=3,Y=2
X^2=3^2=9
Y^2=2^2=4
So I is true
Now lets look at option III because if option 3 is true E is the answer or else A
As per question X>Y>0 Hence |X| >Y
So OA=B
Question: 2.505/10.02 =
A. 0.35
B. 0.3505
C. 0.25
D. 0.351
Answer: C. 0.25
Explanation: 2.505 / 10.02
2505 / 1002 = 2.5
move the comma two places to the left as we have 2 decimal places from the divisor: 0.25. Answer: C
Question: 45 men can complete a work in 15 days. Six days after they started working, 30 more men joined them. How many days will they now take to complete the remaining work?
A.5.4
B.10
C.1.5
D.7
Answer: A.5.4
Explanation: 45*15 men can complete the work in 1 day
1 man's 1 day work = 1/675
45 men 6 days work = 6*1/15 = 2/5
remaining work = 1-2/5 = 3/5
75 men's 1 day's work = 75/675 = 1/9
3/5 work is done by them in 9 *3/5 = 5.4 days
Answer is A
Question: Rajeev's age after 15years will be 5 times his age 5years back. What is the present age of Rajeev?
A.10years
B.15years
C.18years
D.20years
Answer: A.10years
Explanation: Let Rajeev's present age be x
Rajeev's age after 15 years = x+15
Rajeev's age 5 years back = x-5
x+15 = 5(x-5)
x = 10
Rajeev's present age = 10 years
Answer is A
Question: In the fifth grade at Parkway elementary school there are 420 students. 320 students are boys and 250 students are playing soccer. 86% of the students that play soccer are boys. How many girl student are in Parkway that is not playing soccer?
A.69.
B.73.
C.81
D.65
Answer: D.65
Explanation: Total students = 420
Boys = 320, Girls = 100
Total playing soccer = 250
86%of 250 = 215 are boys who play soccer.
Girls who play soccer = 35.
Total girls who do not play soccer = 100 - 35 = 65.
Correct option: D
Question: The ratio, by weight, of coffee to sugar to water in a pot of coffee is 5:2:15. The ratio is then altered so that the ratio of coffee to sugar is halved while the ratio of coffee to water is doubled. If the altered pot of coffee contains 12 grams of sugar, how many grams of water does it contain after alteration?
A.22.5
B.20
C.17.5
D.15
Answer: A.22.5
Explanation: The new ratio of coffee to sugar is 2.5:2 = 5:4
The new ratio of coffee to water is 10:15.
The new ratio of coffee to sugar to water is 10:8:15.
If there are 12 grams of sugar, then there are (15/8)*12=22.5 grams of water.
The answer is A.
Question: 4+7=1281
4+6=1240
8+3=1241
9+9=?
A.1717
B.1818
C.1817
D.1718
Answer: B.1818
Explanation: x+y = ABCD
BC = x*y
AD=x+y
e.g. 4+7
BC=4*7=28
AD=4+7=11
ABCD = 1281
..
.
similarly
9+9=1818
4+7=1281
4+6=1240
8+3=1241
9+9=1818
ANSWER:B
Question: Find the unit digit in 264^102+264^103?
A.0
B.2
C.3
D.4
Answer: A.0
Explanation: Required unit's digit = unit's digit in 4102+4103.4102+4103.
Now, 4242 gives unit digit 6.
⇒ 41024102 gives unit digit 6.
⇒ 41034103 gives unit digit of the product 6×46×4 i.e., 4.
Hence, unit's digit in 264102+264103264102+264103
= unit's digit in (6+4)=0
A
Question: 10 women are equal to as many men as are equal to 7 boys. All of them earn Rs.30 only. Women’s wages are?
A.1
B.5
C.2
D.7
Answer: A.1
Explanation: 10w = xm = 7b
10w+xm+7b ----- 30 Rs.
10w+10w+10w ----- 30 Rs.
30w ------ 30 Rs. => 1Mw= 1Rs.
Answer: A