RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A cab on its way to Bangalore overtakes an auto also going in the same direction at 11 am. The cab reaches Bangalore at 1.30 pm and starts the return journey after taking a break of 1 hour. On its way back it meets the auto at 3 pm. At what time will the auto reach Bangalore?
A.3 p.m.
B.3.30 p.m.
C.5 p.m
D.4 p.m
Answer: D.4 p.m
Explanation: Explanation:
The time interval is shown below with an interval of half hour.
11 am ------- 11:30 ------- 12 ------- 12:30 ------- 1-------1:30
At 11 the cab overtakes the auto and reaches Bangalore at 1:30. Hence, the cab travels 5 segments in two and a half hour assuming the cab to be travelling at constant
speed.
On its way back, the cab commences its journey at 2:30 and meets the auto at 3 p.m. In half an hour the cab travels one segment and hence the auto in one segment away
from Bangalore.
Therefore, the auto travels 4 segments from 11 am to 3 pm assuming it to be travelling at a constant speed. Hence, the speed of auto is 4/4 = 1 segment per hour.
As the auto is one segment away from Bangalore, it will take another 1 hour for the auto to reach Bangalore and hence the auto will reach Bangalore at 4 p.m.
ANSWER: D
Question: The cost of one photocopy is $0.02. However, a 25% discount is offered on orders of more than 100 photocopies. If Steve and Dennison have to make 80 copies each, how much will each of them save if they submit a single order of 160 copies?
A.$0.32
B.$0.40
C.$0.45
D.$0.48
Answer: B.$0.40
Explanation: If Steve and Dennison submit separate orders, each would be smaller than 100 photocopies, so no discount. Each would pay (80)*($0.02) = $1.60, or together, a cost of $3.20 --- that's the combined no discount cost.
If they submit things together as one big order, they get a discount off of that $3.20 price ---- 25% or 1/4 of that is $0.80, the discount on the combined sale. They each effective save half that amount, or $0.40. Answer =(B).
Question: The equation (M +)/36 = (p – 7)/21 relates two temperature scales, where M is the number of degrees on one scale and P is the number of degrees on the other scale. Which of the following equations can be used to convert temperatures from the P scale to the M scale?
A.(P-7)*12/7
B.(P-7)*13/7
C.(P-7)*15/7
D.(P-7)*16/7
Answer: A.(P-7)*12/7
Explanation: M/36 =(P-7)/21
M = (P-7)*36/21
=(P-7)*12/7
A
Question: An equilateral triangle is described on the diagonal of a square. What is the ratio of the area of the triangle to that of the square?
A.2292
B.2298
C.2788
D.2662
Answer: B.2298
Explanation: Explanation:
By selling Rs. 100 stock , cash realised =
By selling Rs. 2400 stock, cash realised = = Rs 2298.
Answer: B) 2298
Question: A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent?
A.107%
B.180%
C.100%
D.140%
Answer: C.100%
Explanation: MP = 100
CP = 75
SP = 150
------
75 ---- 75
100 ---- ? => 100%
Answer:C
Question: A boy has 9 trousers and 20 shirts. In how many different ways can he select a trouser and a shirt?
A.180
B.102
C.104
D.108
Answer: A.180
Explanation: The boy can select one trouser in nine ways.
The boy can select one shirt in 12 ways.
The number of ways in which he can select one trouser and one shirt is 9 * 20 = 180 ways.
A
Question: If a-b= 9 and a^2+b^2=281, find the value of ab
A.100
B.12
C.15
D.18
Answer: A.100
Explanation: 2ab = (a^2 + b^2) - (a - b)^2
= 281 - 81 = 200
=> ab = 100
ANSWER:A
Question: An error 5% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:
A.10.01
B.9.25
C.10.25
D.8.25
Answer: C.10.25
Explanation: Explanation:
100 cm is read as 105 cm.
A1 =(100 × 100)cm2 = 10000
and A2= (105 × 105)cm2= 10816
(A2 - A1) = 11025-10000 = 1025
=> 1025/10000*100 =10.25
Answer : C
Question: How many 7's are present in the following sequence of numbers which are both preceded and followed by perfect square numbers ?
8 6 3 7 9 7 4 3 6 9 7 2 1 7 4 9 5 2 5 4 7 9 5 2 9 7 1 4 7 1
A.5
B.6
C.7
D.8
Answer: A.5
Explanation: Explanation:
8 6 3 7 9 7 4 3 6 9 7 2 1 7 4 9 5 2 5 4 7 9 5 2 9 7 1 4 7 1
ANSWER:A
Question: Tom, who has 50 math questions, will get 6 points per question if he chooses a correct answer. If he chooses a wrong answer to a question or skips one, he will lose 3 points per question. Then, which of the following can be the score if he solves all the 50 questions?
A.192
B.193
C.194
D.195
Answer: A.192
Explanation: Let x be the correctly answered questions. y be the wrongly answered/ skipped ones.
We have x + y = 50;
Score = 6x-3y
3x+3y = 150; 6x-3y = Score;
==> 9x = 150+Score;
check for answer choices where 150+Score is divisible by 9
Choice (A) 192 fits the equation !
Question: The length of the rectangular field is double its width. Inside the field there is square shaped pond 6m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?
A.24
B.32
C.75
D.28
Answer: A.24
Explanation: A/8 = 6 * 6 => A = 6 * 6 * 8
x * 2x = 6 * 6 * 8
x = 12 => 2x = 24
Answer:A
Question: Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
A.7 1/9
B.7 1/8
C.7 1/3
D.7 1/2
Answer: D.7 1/2
Explanation: 70 + 50 = 120 * 5/18 = 100/3 mps
D = 150 + 100 = 250 m
T = 250 * 3/100 = 15/2 = 7 1/2 sec
Answer:D
Question: For the positive integers x, x + 2, x + 4, x + 7, and x + 27, the mean is how much greater than the median?
A.0
B.1
C.2
D.4
Answer: D.4
Explanation: Mean = (x + x+2 + x+4 + x+7 + x+27)/5
=(5x+40)/5
=x+8
Median = x+4
Thus Mean - Median = x+8 - (x+4)
=4
Answer = D
Question: What sum of money put at C.I amounts in 2 years to Rs.8000 and in 3 years to Rs.9261?
A.5969.72
B.8877.72
C.2877.72
D.2678.72
Answer: A.5969.72
Explanation: 8000 ---- 1261
100 ---- ? => 15.76%
x *115.76/100 * 115.76/100 = 8000
x*1.34=8000
x=8000/1.34 =>5969.72
Answer: A
Question: A pineapple costs Rs. 7 each. A watermelon costs Rs. 5 each. X spends Rs. 38 on these fruits. The number of pineapples purchased is
A.2
B.3
C.4
D.5
Answer: C.4
Explanation: 7P+5W= 38
As P and W are integers, only possible value of P is 4.
ANSWER:C
Question: What is the remainder when 15487^(62177037) is divided by 5?
A.0
B.1
C.2
D.3
Answer: C.2
Explanation: We need to find the units digit of the number.
The units digit of powers of seven repeats 7, 9, 3, and 1 cyclically.
Since 62177037 has the form 4a+1, the units digit is 7.
Then the remainder when dividing by 5 is 2.
The answer is C.
Question: Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1305 as rent for parking his cars, what is the total rent paid by all the four agencies?
A.Rs. 4500
B.Rs. 4800
C.Rs. 5250
D.Rs. 7134
Answer: D.Rs. 7134
Explanation: The ratio in which the four agencies will be paying the rents = 15 * 12 : 12 * 20 : 18 * 18 : 16 * 15
= 180 : 240 : 324 : 240 = 45 : 60 : 81 : 60
Let us consider the four amounts to be 45k, 60k, 81k and 60k respectively.
The total rent paid by the four agencies = 45k + 60k + 81k + 60k= 246k
It is given that A paid Rs. 1305
45k = 1305 => k = 29
246k = 246(29) = Rs. 7134
Thus the total rent paid by all the four agencies is Rs. 7134.
ANSWER:D
Question: The number of stamps that P and Q had were in the ratio of 9:2 respectively. After P gave Q 33 stamps, the ratio of the number of P's stamps to the number of Q's stamps was 6:5. As a result of the gift, P had how many more stamps than Q?
A.11
B.33
C.45
D.67
Answer: A.11
Explanation: P started with 9k stamps and Q started with 2k stamps.
(9k-33)/(2k+33) = 6/5
45k - 12k = 178 + 165
33k = 343
k = 11
P has 9(11) - 33 = 66 stamps and Q has 2(11)+33 = 55 stamps.
The answer is A.
Question: Gill drives 120 miles from Los Angeles to San Diego to fetch a package. On her way there she drives at 40 miles per hour. On her way back she drives 50% faster. What is Gill's average velocity T for the round trip?
A.24 miles per hour
B.48 miles per hour
C.50 miles per hour
D.53 1/3 miles per hour
Answer: B.48 miles per hour
Explanation: Here's an Average Speed question in which the prompt gives you almost all of the immediate numbers needed to work with.
Driving from LA to SD, we have a distance of 120 miles and a speed of 40 miles/hour.
D = (R)(T)
120 = (40)(T)
120/40 = 3 = T
3 hours to drive to SD
On the way back, she drives 50% FASTER. Gill's return speed is (1.5)(40) = 60 miles/hour.
D = (R)(T)
120 = (60)(T)
120/60 = 2 = T
2 hours to drive to SD
Total Distance = 240 miles
Total Time = 3+2 = 5 hours
Average Speed = 240/5 = 48 miles/hour
Final Answer:
B
Question: Harold works at a resort from the beginning of March to the end of September. During the month of August this past year, he made 6 times the average (arithmetic mean) of his monthly totals in tips for the other months. His total tips for August were what fraction of his total tips for all of the months he worked?
A.1/3
B.2/5
C.3/7
D.1/2
Answer: D.1/2
Explanation: The time from beginning of March to the end of September is 7 months.
If x is the average monthly tip for all months other than August then his August month tip will be 6*x
His total tip for the 7 months = 6*(average tip for the months other than August) + 6x
=12x
August tips as a fraction of total tips = 6x/12x =1/2. So D
Question: A certain sum amounts to Rs.1725 in 3 years and Rs.1875 in 5 years. Find the rate % per annum?
A.7%
B.5%
C.2%
D.1%
Answer: B.5%
Explanation: 3 --- 1725
5 --- 1875
--------------
2 --- 150
N = 1 I = 75 R = ?
P = 1725 - 225 = 1500
75 = (1500*1*R)/100
R = 5%
Answer:B
Question: The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 5 years hence?
A.22
B.77
C.70
D.98
Answer: C.70
Explanation: A + B = 60, A = 2B
2B + B = 60 => B = 20 then A = 40.
5 years, their ages will be 45 and 25.
Sum of their ages = 45 + 25 = 70.
Answer: C
Question: Sn = n^2 + 5n + 94 and K = S6 – S5 - S4 + S3 + S2 – S1. What is the value of K?
A.12
B.50
C.45
D.41
Answer: A.12
Explanation: I used brute force for this question:
S6: 36+30+94=160
S5: 25+25+94=144
S4: 16+20+94=130
S3: 9+15+94=118
S2: 4+10+94=108
S1: 1+5+94=100
S6-S5-S4+S3+S2-S1= 16-12+8=12
Answer A
Question: There are 8 stores in town that had a total of 21 visitors on a particular day. However, only 12 people went shopping that day; some people visited more than one store. If 8 people visited exactly two stores each, and everyone visited at least one store, what is the largest number of stores anyone could have visited?
A.2
B.3
C.4
D.5
Answer: A.2
Explanation: 8 people visited 2 stores each for 16 visits.
To maximize the number of stores that one person visited, let's assume that 3 people visited 1 store each. The number of remaining visits is 21 - 16 - 3 = 2, which is the maximum that one person could have visited.
The answer is A.
Question: The content of several smaller cylinders ( 3 meter diameter and 6 meter height) were to be emptied into a larger cylinder(20 meter diameter and 10 meter height), how many smaller cylinders will fill up the larger cylinder?
A.20
B.10
C.50
D.74
Answer: D.74
Explanation: Calculate the volume of the larger cylinder and divide it by the volume of the smaller cylinder.
volume of cylinder =πr2h
larger cylinder volume=3141.59
smaller cylinder volume=42.41
therefore the number of cylinders B that can be filled to capacity=3141.59/42.41=74.1
Answer is D 74 smaller cylinders can be filled to capacity.
Question: Sawyer and Beth each drove from Smallville to Crown City by different routes. Sawyer drove an an average speed of 40 miles per hour and completed the trip in 30 minutes. Beth's route was 5 miles longer, and it took her 20 minutes more than Sawyer to complete the trip. How many miles per hour was Beth's average speed on this trip?
A. 24
B. 30
C. 48
D. 54
Answer: B. 30
Explanation: Speed = Distance/Time
Distance for Sawyer = Speed * Time = 40 * 1/2 = 20 miles
Distance for Beth = Distance for Sawyer +5 = 20+5 = 25 miles
Time taken by Beth = Time taken by Sawyer + (1/3 hour) = 1/2+1/3 = 5/6
Speed of Beth = D/T = 25/(5/6) = 25*6/5 = 30 miles per hour
Hence, B is the answer.
Question: A man has a recurring deposit of $2000 every month with a compounded monthly interest rate of 5%. How many months it will take to get an amount of $2500?
A.4
B.5
C.6
D.7
Answer: B.5
Explanation: 1 month: 2000*5/100 = 100: Total: 2100
2nd month: 2100*5/100 = 105: Total: 2100+105= 2205
3rd month: 2205*5/100 = 110: Total: 2205+110= 2315
4th month: 2315*5/100 = 116: Total: 2315+116= 2431
5th month : 2431*5/100 = 122: Total: 2431+122= 2553 >2500
;4 years;
ANSWER:B
Question: Dan can do a job alone in 12 hours. Annie, working alone, can do the same job in just 9 hours. If Dan works alone for 4 hours and then stops, how many hours will it take Annie, working alone, to complete the job?
A.2
B.4
C.6
D.8
Answer: C.6
Explanation: Dan can complete 1/12 of the job per hour.
In 4 hours, Dan completes 4(1/12) = 1/3 of the job.
Annie can complete 1/9 of the job per hour.
To complete the job, Annie will take 2/3 / 1/9 = 6 hours.
The answer is C.
Question: The owner of a furniture shop charges his customer 10% more than the cost price. If a customer paid Rs. 2200 for a computer table, then what was the cost price of the computer table?
A.2299
B.2000
C.2670
D.6725
Answer: B.2000
Explanation: CP = SP * (100/(100 + profit%))
= 2200(100/110) = Rs. 2000
Answer:B
Question: In a college, the ratio of the number of boys to girls is 6 : 5. If there are 200 girls, the total number of students in the college is
A.440
B.520
C.620
D.720
Answer: A.440
Explanation: Explanation:
Let the boy are 6x and Girls are 5x
=> 5x = 200
=> x = 40
Total students = 6x+5x = 11x = 11(40) = 440
Option A
Question: Calculate the value of e from the below equation: e^3âˆ’25e+8=74
A.5
B.3
C.4
D.6
Answer: D.6
Explanation: Use elimination method to find the correct option. you find that of all the options 6 is the correct value for e
Answer: D
Question: If the wheel is 56 cm then the number of revolutions to cover a distance of 1056 cm is?
A.10
B.12
C.3
D.11
Answer: C.3
Explanation: 2 * 22/7 * 56 * x = 1056
=> x = 3
Answer: C
Question: How many integers between 300 and 1000 are there such that their unit digit is odd?
A.200
B.250
C.350
D.400
Answer: C.350
Explanation: There are 700 numbers from 301 to 1000 (inclusive).
Half of the numbers are odd, so there are 350 odd numbers.
The answer is C.
Question: Each of the dogs in a certain kennel is a single color. Each of the dogs in the kennel either has long fur or does not. Of the 45 dogs in the kennel, 36 have long fur, 27 are brown, and 8 are neither long-furred nor brown. How many long-furred dogs are brown?
A.26
B.19
C.11
D.8
Answer: A.26
Explanation: No of dogs=45
Long fur=36
Brown=27
Neither long fur nor brown=8
Therefore, either long fur or brown=45-8=37
37=36+27-Both
Both=26
Answer A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
A.12/479
B.12/497
C.12/455
D.12/487
Answer: C.12/455
Explanation: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.
When three marbles are drawn, the probability that one is yellow and two are red
= (²C₁)(⁴C₂)/¹⁵C₃
= (2 * 4 * 3 * 3 * 2)/(1 * 2 * 15 * 14 * 13)
= 12/455
Answer: C
Question: Richard receives an increment in his salary. His salary presently forms 30% of the total income of his family. Before the increment his salary used to form 20% of the total income of his family. By how many percentage points did the salary of Richard as a percentage of his family's total income increase?
A.14(2/7)
B.16(2/3)
C.10
D.8
Answer: C.10
Explanation: The salary of Richard as a percentage of his family's total income was 20%
The salary of Richard as a percentage of his family's total income now is 30%
The percentage points that have increased is 10 (from 20% to 30%).
Answer (C)
Question: The 323rd term of the series a, b , b, c, c, c, d, d, d, d, e, e, e, e, e, .... is
A.u
B.v
C.w
D.y
Answer: D.y
Explanation: a is one time, b,2 times so on...
so 323=n(n+1)/2..
0r n(n+1)= 646... now 25*26=650...24*25<646 so n= 25. and 25th alphabet is Y. ans D
Question: John, Karen, and Luke collected cans of vegetables for a food drive. The number of cans that John collected was 1/2 the number of cans that Karen collected and 1/5 the number of cans that Luke collected. The number of cans that Luke collected was what fraction of the total number of cans that John, Karen, and Luke collected?
A. 1/5
B. 1/3
C. 2/5
D. 1/2
Answer: A. 1/5
Explanation: John = (1/2)Karen --> Karen = 2(John)
John = 1/5(Luke) --> Luke = 5(John)
Total = 10(John)
Luke/Total = 2/10 = 1/5
Answer: A
Question: A train 210 m long, running with a speed of 63 km/hr will pass a tree in?
A.22 sec
B.16 sec
C.17 sec
D.18 sec
Answer: D.18 sec
Explanation: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 210 * 2/35 = 18 sec
Answer:D
Question: A number x is 5 times another number y. The percentage that y is less than x is
A.12.5%
B.80%
C.88%
D.11%
Answer: B.80%
Explanation: Say y=1 and x=5.
Then y=1 is less than x=5 by (5-1)/5*100=4/5*100=80%.
Answer: B.
Question: If n = 4^11 – 4, what is the units digit of n?
A.0
B.1
C.4
D.6
Answer: A.0
Explanation: Always divide the power (incase 11) by 4 and use the remainder as the new power. The question now becomes 4^3 - 4. Now 4^3 has last digit 4. , we subtract 4 from 4 = 0 is the answer. Option A
Question: On the first of the year, James invested x dollars at Proudstar bank in an account that yields 1.5% in interest every quarter year. At the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. If James had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for James to have y dollars at the end of the year?
A.11.04%
B.6.12%
C.8%
D.7.25%
Answer: B.6.12%
Explanation: Per quarter, interest = 1.5% So for a year, interest = 6% Due to quarter cumulation, effective yield (YTM) would be slight higher than 6% Answer = 6.12% =ANSWER:B
Question: If 288 is divided into four parts proportional to 5, 7, 4, 8 then the smallest part is :
A.46
B.44
C.20
D.48
Answer: D.48
Explanation: Given ratio = 5 : 7 : 4 : 8 , sum of ratio = 24
:. The smallest part = (288 *4/24) = 48
ANSWER:D
Question: x, a, z, and b are single digit positive integers. x = 1/6 a. z = 1/6 b. (10a + b) – (10x + z) could NOT equal
A.35
B.30
C.43
D.60
Answer: C.43
Explanation: a=6x , b =6z therefore(6x.10+6z) - (10x +z) = (6-1) (10x+z) =5.(10x+Z)
number should be divisible by 5
C
Question: If the a radio is sold for rs 490 and sold for rs 465.50.find loss percentage.
A.3
B.5
C.7
D.9
Answer: B.5
Explanation: cost price=rs 490,selling price= 465.50.
loss=rs(490-465.50)=rs 24.50.
loss%=[(24.50/490)*100]%=5%
Answer is B
Question: A is thrice as efficient as B and is, therefore, able to finish a piece of work 10 days earlier than B. In how many days A and B will finish it together?
A.3 1/2 days
B.3 4/5 days
C.3 days
D.5 days
Answer: D.5 days
Explanation: Explanation:
WC = 3:1
WT = 1:3
x 3x
1/x â€“ 1/3x = 1/10
x = 20/3
3/20 + 1/20 = 1/5 => 5 days
ANSWER IS D
Question: The price of a book is increased from $300 to $390. What is the % of increase in its price?
A.10%
B.20%
C.30%
D.35%
Answer: C.30%
Explanation: Explanation: Change in the price = Rs 390 – Rs 300
= Rs 90
Percentage of increase = Change in the price Initial Price
* 100.
Percentage increase in price =( 90 / 300
) *100 = 30%
C
Question: Machine A and machine B are each used to manufacture 440 sprockets. It takes machine A 10 hours longer to produce 440 sprockets than machine B. Machine B produces 10% more sprockets per hour than machine A. How many sprockets per hour does machineAproduce?
A.6
B.6.6
C.60
D.4.4
Answer: D.4.4
Explanation: time taken by B = t
time taken by A = t+10
qty produced by A = q
qty produced by B = 1.1 q
for B: t(1.1q) =440
qt=400
for A: (t+10)(q) = 440
qt+10q=440
400+10q=440
q=4
so A can produce 4/hour.
then B can produce = 4(1.1)=4.4/hour.
D
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train?
A.150 meter
B.166 meter
C.154 meter
D.146 meter
Answer: A.150 meter
Explanation: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 9 = 150 meter
Answer: A
Question: If x < y < z and y - x > 5, where x is an even integer and y and z are odd integers, what is the least possible value F of z - x?
A.6
B.7
C.8
D.9
Answer: D.9
Explanation: x<y<z
To find the least possible value for z-x; we need to find the values for z and x that can be closest to each other. If x is some even number, then what could be minimum possible odd z.
If x is some even number
y-x>5; y>x+5; minimum value for y=x+5+2=x+7[Note: x+5 is as even+odd=odd and nearest odd greater than x+5 is x+5+2]
Minimum value for z=y+2=x+7+2=x+9 [Note: z=y+2 because both z and y are odd. Difference between two odd numbers is 2]
F=z-x = x+9-x= 9
Ans:D
Question: The function F(n) is defined as the product of all the consecutive positive integers between 4 and n^2, inclusive, whereas the function G(n) is defined as the product of the squares of all the consecutive positive integers between 1 and n, inclusive. The exponent on 2 in the prime factorization of F(3)/G(3) is
A.	1
B.	2
C.	3
D.	4
Answer: D.	4
Explanation: F(3)/G(3)
=product(1 to 3 ^2) / 1.2^2.3^2
=1.2.3.4.5.6.7.8.9/1.4.9
=1.2.3.(2^2).5.(2.3).7.(2^3).9/1.(2^2).9
=1.(2^7).3.5.7.9/1.(2^2).9
Loof for 2^7/2^2=2^5 ----Exponent 4
Answer: D
Question: To fill an art exhibit, the peoples in an art course are assigned to create one piece of artwork each in the following distribution: 1/3 are sculptures, 1/8 are oil paintings, 1/2 are watercolors, and the remaining 10 pieces are mosaics. How many peoples are in the art class?
A.80
B.120
C.240
D.320
Answer: C.240
Explanation: Let the total number of peoples in the art class = s
Distribution of artwork is as
1/3 are sculptures
1/8 are oil paintings
1/2 are watercolors, and the remaining 10 pieces are mosaics
(1/3)s +(1/8)s +(1/2)s + 10 = s
Since remaining 10 pieces are mosaics , (1/24)s = 10
s = 240
Answer C
Question: In a single throw of a die what is the probability of getting a number greater than 4 ?
A.1/2
B.1/4
C.1/3
D.2/5
Answer: C.1/3
Explanation: when a die is thrown S={1,2,3,4,5,6}
E = event of getting a number greater than 4 = {5,6}
P(E) = n(E)/n(S) = 2/6 = 1/3
Answer is C
Question: Divide Rs. 3364 between A and B, so that A's Share at the end of 5 years may equal to B's share at the end of 7 years, compound interest being at 5 percent.
A.Rs. 1764 and Rs.1600
B.Rs. 1756 and Rs.1608
C.Rs. 1722 and Rs.1642
D.Rs. 1755 and Rs.1600
Answer: A.Rs. 1764 and Rs.1600
Explanation: Explanation: A's share after 5 years = B's share after 7 years
(A's present share)(1+5100)5 = (B's present share)(1+5100)7
=>(A's present share)/(B's present share) = (1+5/100)7/(1+5/100)5 = (1+5/100)(7âˆ’5) = (1+5/100)2 =(21/20)2 =441/400
i.e, A's present share : B's present share = 441 : 400
Since the total present amount is Rs.3364, A's share = 3364 Ã— 441/(441 + 400)
= (3364 Ã— 441)/841 = 4 Ã— 441 = Rs. 1764
B's present share = 3364 - 1764 = Rs.1600
ANSWER IS A
Question: In how many ways can 5 boys and 1 girls be seated on 8 chairs so that no two girls are together?
A.5760
B.14400
C.480
D.56
Answer: C.480
Explanation: Let us take opposite of the constraint.
2 girls sitting together:	:
1 case is GGBGBBBB.
Total number of ways=3!*5!*5 with just shifting the rightmost girl.
Then the 2 leftmost girls can shift one position , and using the above reasoning, the total number of ways = 3!*5!*4 and so on till the rightmost girl has 1 position.
So total number of ways = 3!*5!(5+4+3+2+1)=120*90=10800
Similarly another case is:
GBGGBBBB.
Using the above reasoning, the total number of cases is: 3!*5!*(15) =10800
Let us take 3 girls sitting together
GGGBBBBB
There are 3! *5! Ways. The 3 leftmost girls can shift 6 positions. So there are a total of 3!*5!*6=4320 ways
So total is 2*10800 + 4320=25920
The total number of possibilities = 8! Ways =40,320
Answer is 40320-25920=480
Hence C.