RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Working together, Jose and Jane can complete an assigned task in 20 days. However, if Jose worked alone and completed half the work and then Jane takes over and completes the second half, the task will be completed in 45 days. How long will Jose take to complete the task if he worked alone? Assume that Jane is more efficient than Jose.
A.25 days
B.30 days
C.60 days
D.65 days
Answer: C.60 days
Explanation: Explanatory Answer
Step 1: Assign Variables and Frame Equations
Let Jose take 'x' days to complete the task if he worked alone.
Let Jane take 'y' days to complete the task if she worked alone.
Statement 1 of the question: They will complete the task in 20 days, if they worked together.
In 1 day, Jose will complete 1/x of the task.
In 1 day, Jane will complete 1/yof the task.
Together, in 1 day they will complete 1/20 of the task.
Therefore,1/x+ 1/y= 1/20.... (1)
Statement 2 of the question: If Jose worked alone and completed half the work and then Jane takes over and completes the second half, the task will be completed in 45 days.
Jose will complete half the task in x/2 days.
Jane will complete half the task in y/2 days.
∴ x/2 + y/2= 45
Or, x + y = 90 or x = 90 - y .... (2)
Step 2: Solve the two equations and find x and y
Substitute the value of x as (90 - y) in the first equation
1/90−y + 1/y = 1/20
Or y2 - 90 + 1800 = 0.
The quadratic equation factorizes as (y - 60)(y - 30) = 0
So, y = 60 or y = 30.
If y = 60, then x = 90 - y = 90 - 60 = 30 and
If y = 30, then x = 90 - y = 90 - 30 = 60.
The question clearly states that Jane is more efficient than Jose. Therefore, Jane will take lesser time than Jose.
Hence, Jose will take 60 days to complete the task if he worked alone and Jane will take 30 days to complete the same task.
Choice C
Question: In a 100 m race, A runs at 8km per hour. If A gives B a start of 7 m and still him by 15 seconds, what is the speed of B ?
A.5.58 km/hr.
B.5.06 km/hr.
C.5.76 km/hr.
D.6.76 km/hr.
Answer: A.5.58 km/hr.
Explanation: Time taken by A to cover 100 m =(60 X 60 / 8000)	x 100 sec = 45 sec.
B covers (100 - 7) m = 93 m in (45 + 15) sec = 60 sec.
B's speed = (93 x 60 x 60)/(60 x 1000)km/hr = 5.58 km/hr.
Answer is A
Question: If the numerator of a fraction is increased by 20% and its denominator is diminished by 25% value of the fraction is 2/15. Find the original fraction?
A.1/12
B.1/16
C.1/19
D.1/14
Answer: A.1/12
Explanation: X * (120/100)
---------------- = 2/15
Y * (75/100)
X/Y = 1/12
Answer: A
Question: Two goods train each 500 m long are running in opposite directions so parallel tracks.Their speeds are 45 kmph and 30 kmph respectively.Find the time taken by the slower train to pass the driver of the first one
A.12 sec
B.24 sec
C.48 sec
D.60 sec
Answer: B.24 sec
Explanation: only need length of slower train which is L=500m
relative sped (both are opposite direction)
s=45+30=75kmph
75*5/18=125/6 m/s
time =dist/speed
=(500*6)/125=24 sec
ANSWER:B
Question: Of the 200 math majors at a certain university, 50 percent will be assigned to advanced calculus on Monday and Wednesday and the remaining 70 percent will be assigned to advanced calculus on Tuesday and Thursday. However, 40 percent of the math majors prefer Tuesday and Thursday and 60 percent prefer Monday and Wednesday. What is the lowest possible number of math majors who will NOT be assigned to the days they prefer?
A. 15
B. 20
C. 30
D. 45
Answer: A. 15
Explanation: 30% of students are assigned to Monday and Wednesday = 0.3*200 = 60
70% of students are assigned to Tuesday and Thursday = 0.7*200 = 140
60% of students prefer Monday and Wednesday = 0.6*200 = 120
40% of students prefer Tuesday and Thursday = 0.4*200 = 80
Since we need theleastnumber of students who will not be assigned to their preferred days, we shall fit in themaximumpossible students as per their preference:
All of the 40% of students who prefer Tuesday and Thursday can be accommodated to their preferred days, whereas only 60 out of 120 students who prefer Monday and Wednesday can be accommodated to their preferred days.
The remaining 15 students who prefer Monday and Wednesday will be allocated to Tuesday and Thursday by default, which is not their choice.
Answer is A.
Question: A box contains 25 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective is
A.3/10
B.7/19
C.12/19
D.21/95
Answer: A.3/10
Explanation: Solution
P( None is defective)
= 21C2 / 25C2
= 7/10
P( at least one is defective)
= (1- 7/10)
=3/10.
Answer A
Question: A certain team consists of 3 professors and 5 teaching assistants. How many different teams of 3 can be formed in which at least one member of the group is a professor? (Two groups are considered different if at least one group member is different.)
A.34
B.38
C.42
D.46
Answer: D.46
Explanation: The total number of ways to form a group of 3 from 8 people is 8C3 = 56
The number of ways to form a group without a professor is 5C3 = 10
The total number of ways to form a valid group is 56 - 10 = 46.
The answer is D.
Question: A biker covered half the distance between two towns in 2 hr 30 min. After that he increased his speed by 2 km/hr. He covered the second half of the distance in 2 hr 20 min. Find the distance between the two towns and the initial speed of the biker.
A.140
B.120
C.130
D.150
Answer: A.140
Explanation: Let x km/hr be the initial speed of the biker, then his speed during the second part of the trip is x + 2 km/hr. Half the distance between two cities equals 23060⋅x km and 22060⋅(x+2) km. From the equation: 23060⋅x=22060⋅(x+2) we get x=28 km/hr.
The intial speed of the biker is 28 km/h.
Half the distance between the two towns is
2h30min×28=2.5×28=70.
So the distance is 2×70=140 km.
Answer is A.
Question: A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
A.Rs.48
B.Rs.64
C.Rs.44
D.Rs.46
Answer: C.Rs.44
Explanation: π (152 - 132)
= 176
176 * 1/4
= Rs.44
Answer: C
Question: There are 1000 students in a school and among them 30 % of them attends chess class. 10% of the students who are in the chess class are also enrolled for swimming. No other students are interested in swimming so how many will attend the swimming class if all enrolled attends?
A.1
B.10
C.100
D.30
Answer: D.30
Explanation: 30% of 1000 gives 300. so 300 attends chess and 10% of 300 gives 30.
so 30 enrolled for swimming
Answer: D
Question: A teacher grades students’ tests by subtracting twice the number of incorrect responses from the number of correct responses. If Student A answers each of the 100 questions on her test and receives a score of 76, how many questions did Student A answer correctly?
A.92
B.60
C.73
D.82
Answer: A.92
Explanation: let the number of correct responses be x
then the number of incorrect responses =100-x
according to question
x-2(100-x)=76 (subtracting twice of incorrect from correct)
3x=276
x=92
ANSWER:A
Question: If x + 4 > 2 and x - 3 < 7, the value of x must be between which of the following pairs of numbers?
A. -2 and 10
B. -3 and 4
C. 2 and 7
D. 3 and 4
Answer: A. -2 and 10
Explanation: Let’s isolate x in each inequality.
x + 4 > 2
x > -2
Next we simplify x – 3 < 7.
x – 3 < 7
x < 10
We know that x is greater than -2 and less than 10.
The answer is A.
Question: Of 30 applicants for a job, 12 had at least 4 years' experience, 18 had degrees, and 3 had less than 4 years' experience and did not have a degree.How many of the applicants had at least 4 years' experience and a degree?
A.14
B.13
C.9
D.7
Answer: D.7
Explanation: D. 7
30 - 3 = 27
27 - 12 - 18 = -7
Then 7 are in the intersection between 4 years experience and degree.
Answer D
Question: X and Y invested in abusiness. They earned some profit which they divided in the ratio of 2 : 3. If X invested Rs. 40,000, the amount invested by Y is :
A.35,000
B.40,000
C.50,000
D.60,000
Answer: D.60,000
Explanation: Sol.
Suppose Y invested Rs. y. Then, 40000/y = 2/3 or y = [40000 * 3 / 2] = 60000.
Answer D
Question: Sabrina is contemplating a job switch. She is thinking of leaving her job paying $85,000 per year to accept a sales job paying $45,000 per year plus 30 percent commission for each sale made. If each of her sales is for $1,500, what is the least number of sales she must make per year if she is not to lose money because of the job change?
A.57
B.177
C.178
D.89
Answer: D.89
Explanation: Lets say she sales x items so her commission will be : x * 1500*30/100 = 450x
Salary difference is: 85000 - 45000 = 40000
So commission must at least be equal to salary difference i.e. x = 40000/450 = 89 (Approx).
Hence answer is D
Question: If an object travels at two feet per second, how many feet does it travel in one hour?
A.3488
B.3778
C.7200
D.1800
Answer: C.7200
Explanation: Explanation:
If an object travels at 2 feet per second it covers 2x60 feet in one minute, and 2x60x60 feet in one hour.
Answer = 7200
Answer: C) 7200
Question: The series of differences between consecutive prime numbers is represented as dp1, dp2, dp3, .... dpn .Whare dp1 is the difference between the second and the first prime number. Find the sum of series when n = 23, given that the 23rd prime number is 83 ?
A.81
B.82
C.83
D.87
Answer: A.81
Explanation: S1 = 1 when last prime number is 3
S2 = 3 when last prime number is 5
S3 = 5 when last prime number is 7 and so on.
So the sum of the series is 2 less than the last prime number.
So S23 = 83 - 2 = 81
ANSWER:A
Question: The triplicate ratio of 1:3 is?
A.1:27
B.1:8
C.1:3
D.1:1
Answer: A.1:27
Explanation: 1^3: 3^3 = 1:27
Answer: A
Question: 25.25/3000 is equal to:
A.0.008416667
B.0.110773333
C.0.12526234
D.0.01072333
Answer: A.0.008416667
Explanation: 25.25/3000 = 2525/300000
= 0.008416667
ANSWER:A
Question: 80 x 100 + 80 x 11 = ?
A.7500
B.8880
C.6200
D.5200
Answer: B.8880
Explanation: =80 x (100+11) (by distributive law)
=80 x 111
=8880
Answer is B
Question: If each participant of a chess tournament plays exactly one game with each of the remaining participants, then 190 games will be played during the tournament. What is the number of participants?
A.14
B.16
C.18
D.20
Answer: D.20
Explanation: Let n be the number of participants.
The number of games is nC2 = n*(n-1) / 2 = 190
n*(n-1) = 380 = 20*19 (trial and error)
The answer is D.
Question: Find the invalid no.from the following series 3, 7, 15, 27, 63, 127, 255
A.20
B.24
C.27
D.30
Answer: C.27
Explanation: Go on multiplying the number by 2 and adding 1 to it to get the next number.So, 27 is wrong.
C
Question: If the line L passes through the point (3,n) and (n,3), where n is not equal to 3, which of the following must be true?
1. Line L does pass the origin.
2.Line L must passes through the first quadrant.
3.The slope of L is negative
A.I only
B.II only
C.III only
D.I and II
Answer: C.III only
Explanation: Slope of the given line= 3-n/n-3
Given information is that n is not equal to 3, that means n <3 or n>3. In both these conditions the slope will be negative.
1) n<3 (n=2)
3-2/2-3= -1
2) n<3 (n= 0)
3-0/0-3= -1
3) n<3 (n=-3)
3+3/ -3-3= -2/3
4) n>3
3-4/4-3= -1
aAnswer C
Question: Which of the following fractions is at least twice Smaller than 13/50?
A.2/5
B.11/34
C.9/20
D.8/21
Answer: C.9/20
Explanation: Answer C
13/50=0.26
9/20=0.45 which is 0.07 smaller than two times of 0.26
Question: Bhatia, Ashtikar and Singh begin to play with Rs 70 each. At the end the ratio of the amounts left
with Ashtikar and Singh is 1 : 2 and of those with Singh and Bhatia is 4 : 1. What is Singh's gain
(in Rs)?
A.40
B.45
C.48
D.50
Answer: D.50
Explanation: We have b+a+s = 210
and s = 2a, s = 4b and a = 2b
solving these EQs we got
that singh have Rs.120 in the end
Bhatia have 30
and Astikar have 60.
so singh's profit is 120 - 70 = 50
ANSWER:D
Question: If a number between 10 and 20 (inclusive) at random. What is the probability that the tens digit is greater than ones digit?
A.2/11
B.1041
C.14/41
D.27/41
Answer: A.2/11
Explanation: If tens digi is 2 ---> ones digit : 0
If tens digi is 1 ---> ones digit : 0
So the number of numbers whose tens digit is greater than ones digit is 11.
The total number is 20-10+1=11.
So the probability is 2/11.
The answer is (A).
Question: If k is an integer and 2 < k < 8, for how many different values of k is there a triangle with sides of lengths 2, 6, and k?
A.0
B.1
C.2
D.3
Answer: D.3
Explanation: (6-2) < k < (6+2)
4 < k < 8
Thus k = 5, 6, 7
Since 2 < k < 8, then k can be 5, 6, or 7.
The answer is D.
Question: A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:
A.32
B.24
C.12
D.7
Answer: B.24
Explanation: Answer: Option B
Let the ten's and unit's digit be x and 8/x respectively.
Then,
(10x + 8/x) + 18 = 10 * 8/x + x
9x2 + 18x - 72 = 0
x2 + 2x - 8 = 0
(x + 4)(x - 2) = 0
x = 2
So, ten's digit = 2 and unit's digit = 4.
Hence, required number = 24.
Question: If circles x and y have the same area and circle x has a circumference of 20π, half of the radius of circle y is:
A.16
B.5
C.4
D.2
Answer: B.5
Explanation: x bé radius of circle x
ý bé radius of circle y
given:
pi*x^2 = pi*ý^2
also,
2*pi*x = 20*pi
x =10
thus ý = 10
y/2 = 5
Ans: B
Question: If the radius of a circle is decreased 60%, what happens to the area?
A.10% decrease
B.20% decrease
C.36% decrease
D.84% decrease
Answer: D.84% decrease
Explanation: Area of Square = Pi* radius^2
New Radius = 0.4 * old radius
so new area = (0.4)^2 old area => 0.16 of old area =>16% old area
Ans : D
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 36 hours respectively. The ratio of their speeds is?
A.6:5
B.6:3
C.4:4
D.4:8
Answer: B.6:3
Explanation: Let us name the trains A and B.
Then, (A's speed) : (B's speed)
= √b : √a = √36 : √9
= 6:3
Answer: B
Question: Let n be divided by 5,and the remainder obtained is 4. What will be the remainder when 5 divided by 2n?
A.2
B.4
C.1
D.3
Answer: D.3
Explanation: n=5*x+4
so, 2*(n)/5=(10*x+8)/5
10*x divided by 5
when 8 divided by 5 then remainder is 3.
ANSWER:D
Question: An article is bought for Rs.800 and sold for Rs.600, find the loss percent?
A.18 2/3%
B.16 7/3%
C.16 2/8%
D.25%
Answer: D.25%
Explanation: 800 ---- 200
100 ---- ? => 25%
Answer:D
Question: At what rate percent on simple interest will a sum of money double itself in 50 years?
A.3 1/3%
B.3 1/9%
C.3 9/3%
D.2%
Answer: D.2%
Explanation: P = (P*50*R)/100
R = 2%
Answer: D
Question: In a zoo, the ratio of the number of cheetahs to the number 4 then what is the increase in the number of pandas?
A. 2
B. 12
C. 5
D. 10
Answer: B. 12
Explanation: One short cut to solve the problem is
c:p = 1:3
c increased to 5
=> 1:3 = 5:x
=> x = 15
=>p increased by 12
B is the answer
Question: A fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans. A customer bought the pair of jeans for 35 percent more than the retailer paid for them. The price the customer paid was what percent greater than the cost of manufacturing the jeans?
A.65%
B.70%
C.75%
D.89%
Answer: D.89%
Explanation: find the product of the two increases: (1.4) * (1.35) which is 1.89 and a 89% increase.
D
Question: In a 1200 m race Usha beats Shiny by 50 m. In the same race, by what time margin Shiny beat Mercy who runs at 4 m/s ?
A.100 sec.
B.50 sec
C.60 sec
D.Data not sufficient
Answer: C.60 sec
Explanation: Speed of Shiny = 50/ 10 = 5m/s
Time taken by shiny to complete the race is B = 1200/5 = 240 sec.
Time taken by Baley to complete the race is D = 1200/4 = 300 sec.
Hence, D-B = 60 sec
ANSWER:C
Question: 9823 + x = 13200, then x is ?
A.3327
B.3237
C.3337
D.3377
Answer: D.3377
Explanation: Answer
x = 13200 - 9823 = 3377
Option: D
Question: If 8 women can color 400 m long cloth in 5 days, then 10 women can color 500 m long cloth in?
A.6 days
B.4 days
C.5 days
D.15 days
Answer: C.5 days
Explanation: The length of cloth painted by one woman in one day = 400/ 8× 5 = 10 m
No. of days required to paint 500 m cloth by 10 women = 500/ 10 × 10 = 5 days
Answer : C
Question: A student took five papers in an examination, where the full marks were the same for each paper. His marks in these papers were in the proportion of 6 : 7 : 8 : 9 : 10. In all papers together, the candidate obtained 60% of the total marks. Then the number of papers in which he got more than 70% marks is
A.3
B.2
C.1
D.4
Answer: C.1
Explanation: Here we can assume that one subject is of 100 marks so total there are 5 subjects => 100*5 = 500.
Now according to the question he secured 60 % of those which is 60%of 500 = 300 marks in total.
The ratio between the marks is given as 6 : 7 : 8 : 9 : 10 , so now we can distribute 300 marks according to the ratio.
Total ratio = 40
For 6 : (300/40)*6 = 45
Similarly , we will get for others as 52.5 , 60 , 62.5 , 75.
Hence , there are 1 subject where he secured more that 70 %.
The answer is 1.
C
Question: If 10 % of an electricity bill is deducted, 45 is still to be paid. How much was the bill?
A.50
B.60
C.55
D.70
Answer: A.50
Explanation: Let the bill be x. Then
90% of x = 45
⇒ x = 45×100/90 = 50
Answer A
Question: A three-person committee must be chosen from a group of 8 professors and 10 graduate students. If at least one of the people on the committee must be a professor, how many different groups of people could be chosen for the committee?
A.A)70
B.B)696
C.C)630
D.D)1,260
Answer: B.B)696
Explanation: Total number of ways to select at least one professor = Number of ways to select 3 people from 10 students and 8 professors - Number of ways to select 3 people from 10 student (i.e. without including any professor)
= 18C3 - 10C3 = 816 - 120 = 696
ANSWER:B
Question: Lorna invests $6000, with some at 6% annual interest and some at 11% annual interest. If she receives a total of $580 from these investments at the end of a year, how much was invested at the 6% interest rate?
A.$160
B.$1,600
C.$2,200
D.$4,400
Answer: B.$1,600
Explanation: 11+6=17%, therefore 17/100*6000= 1020, now add 1020 + 580= 1600. (B)
Question: If the number 97215 * 6 is completely divisible by 11, then the smallest whole number in place of * will be:
A.3
B.1
C.2
D.5
Answer: A.3
Explanation: Given number = 97215x6
(6 + 5 + 2 + 9) - (x + 1 + 7) = (14 - x), which must be divisible by 11.
x = 3
ANSWER A
Question: Working together, Tim and Tom can type 12 pages in one hour. If they would be able to type 15 pages in one hour if Tom increases his typing speed by 30%, what is the ratio of Tom's normal typing speed to that of Tim?
A.1/5
B.5/1
C.4/1
D.1/4
Answer: B.5/1
Explanation: Lets say Tim types x pages an hour and Tom types y pages an hour.
We know that x+y=12
Tom increase speed by 30% means he will type 1.3 y pages an hour.
So we get x+1.3 y=15
We need to know the ratio of Tom's speed to Tim's speed. This is going to be proportional to the number of pages each can type in an hour, hence (y/x).
Subtracting both : 0.3 y=3 so y=10 ... so x=2
(y/x)=10/2 =5/1
Answer is (B)
Question: If |t|=−t, which of the following must be true?
A.x≥0
B.t≤0
C.x2>x
D.x3<0
Answer: B.t≤0
Explanation: |t| =-t means absolute value of t is equal to negative of t. Since absolute value cannot be negative hence negative of t should result in a non negative number. It means t is a non positive number i.e. t<0. Answer is B
Question: 60 percent of movie theatres in Town X have 3 screens or less. 20% of those theatres sell an average of more than $200 worth of popcorn per showing. 56 percent of all the movie theatres in Town X sell $300 or less of popcorn per showing. What percent of all the stores on the street have 4 or more screens and sell an average of more than $300 worth of popcorn per day?
A.12
B.18
C.32
D.40
Answer: B.18
Explanation: Lets take numbers here.
Assume that the total number of movie theaters in the town = 100
Then number of movie theaters with 3 screens or less = 60
=> Number of movie theaters with 4 screens or more = 40
Movie theaters with 3 screens or less selling popcorn at more than $200 = 20% of 60 = 12
Number of movie theaters selling popcorn at $300 or less = 56
=> Number of movie theaters selling popcorn at more than $300 = 100-56 = 44
Of these 44 theaters, 12 are those with 3 screens or less
Therefore 18 (44-12) must be those with four screens or more
B is the answer
Question: The number of new words that can be formed by rearranging the letters of the word 'ALIVE' is
A.277
B.668
C.119
D.177
Answer: C.119
Explanation: Number of words which can be formed
= 5! - 1 = 120 - 1 = 119.
Answer: C
Question: Four of the following five parts lettered a, b, c, d and e are exactly equal. Which of the following is not equal to the other four?
A.24(2) – 12(2) + 112 ÷ 14
B.17 × 12 + 59 × 4
C.15 × 28 + 20
D.27 × 16 + 56 ÷ 8
Answer: D.27 × 16 + 56 ÷ 8
Explanation: Other parts are equal to 440.
Answer D
Question: The radius of the two circular fields is in the ratio 5: 4 the area of the first field is what percent greater than the area of the second?
A.22%
B.32%
C.34%
D.64%
Answer: D.64%
Explanation: r = 5 Ï€r2 =25
r = 4Ï€r2 = 16
25 Ï€ â€“ 9Ï€
100 ---- ? => 36%.Answer:D
Question: A can run 192 metre in 28 seconds and B in 32 seconds. By what distance A beat B?
A.38 metre
B.28 metre
C.24 metre
D.15 metre
Answer: C.24 metre
Explanation: Clearly, A beats B by 4 seconds
Now find out how much B will run in these 4 seconds
Speed of B = Distance/Time taken by B=192/32=6 m/s
Distance covered by B in 4 seconds = Speed Ã— time =6Ã—4=24 metre
i.e., A beat B by 24 metre
Answer is C
Question: At the end of the day, February 14th, a florist had 120 roses left in his shop, all of which were red, white or pink in color and either long or short-stemmed. A third of the roses were short-stemmed, 20 of which were white and 10 of which were pink. The percentage of pink roses that were short-stemmed equaled the percentage of red roses that were short-stemmed. If none of the long-stemmed roses were white, what percentage of the long-stemmed roses were red?
A.20%
B.50%
C.55%
D.75%
Answer: B.50%
Explanation: R + W + P = 120
S + L = 120
1/3 * 120 = 40
Short-Stemmed White = 20
Short-Stemmed Pink = 10
=> Short-Stemmed Red =10
10/P =10/R
=> R = P
So Total Long Stemmed = 80
And Long Stemmed Red + Long Stemmed Pink = 80
So Long Stemmed Red/Long Stemmed = ?
Total White = 20 (As no Long stemmed white)
=> R + R + 20 = 120
=> 2R = 100 and R = 50
Long Stemmed R = 50 - 10 = 40
So Long Stemmed Red/R = 40/80 = 50%
Answer - B
Question: A shop sells 1 chocolate at the rate Rupee 1 each . You can exchange three warppers for one chocolate.
If you have Rs. 15, what is the maximum number of chocolates you can get?
A.21
B.22
C.23
D.24
Answer: B.22
Explanation: Rs.15 = 15 chocolates
15 wrappers = 5 Chocolates
5 wrappers = 1 chocolate(u have 2 wrappers with you..)
count this wrapper with already existing wrappers = 15+5+1+1 = 22 chocolates..
ANSWER:B
Question: A discount of 20 percent on an order of goods followed by a discount of 40 percent amounts to
A.the same as one 45 percent discount
B.the same as one 40 percent discount
C.the same as one 36 percent discount
D.the same as one 52 percent discount
Answer: D.the same as one 52 percent discount
Explanation: 0.8*0.6*x=0.48x from initial value, meaning 0.52 or 52% discount
D
Question: For an integer n greater than 1, n* denotes the product of all the integers from 1 to n inclusive. How many prime numbers are there between 7*+2 and 7*+7, exclusive ?
A.5
B.1
C.None of the above
D.3
Answer: C.None of the above
Explanation: Given that n* denotes the product of all the integers from 1 to n, exclusive so, 7* + 3 = 7! + 3 and 7* + 6 = 7! + 6.
Now, notice that we can factor out 3 our of 7! + 3 so it cannot be a prime number, we can factor out 4 our of 7! + 4 so it cannot be a prime number, ... The same way for all numbers between 7! + 3 and 7! +6, inclusive. Which means that there are no primes in this range.
Answer: C
Question: Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find the surface area of the cube so formed
A.486
B.366
C.299
D.278
Answer: A.486
Explanation: Explanation:
Volume of new cube = =
Edge of new cube = = 9cm
Surface area of the new cube = ( 6 x 9 x 9) = 486
Answer: A) 486