RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: For any integer k greater than 1, the symbol k* denotes the product of all the fractions of the form 1/t, where t is an integer between 1 and k, inclusive. What is the value of 6*/4* ?
A.5
B.5/4
C.4/5
D.1/4
Answer: D.1/4
Explanation: When dealing with 'Symbolism' questions, it often helps to 'play with' the Symbol for a few moments before you attempt to answer the question that's asked. By understanding how the Symbol 'works', you should be able to do the latter calculations faster.
Here, we're told that K* is the PRODUCT of all the fractions of the form 1/T, where T is an integer between 1 and K, inclusive.
Based on this definition....
IF....
K = 2
K* = (1/1)(1/2) = 1/2
IF....
K = 3
K* = (1/1)(1/2)(1/3) = 1/6
We're asked to find the value of 5*/4*
Now that we know how the Symbol 'works', solving this problem shouldn't be too difficult. You can actually choose to do the math in a couple of different ways....
5* = (1/1)(1/2)(1/3)(1/4)(1/5)
Don't calculate this just yet though....since we're dividing by 4*, many of those fractions will 'cancel out.'
4* = (1/1)(1/2)(1/3)(1/4)
We're looking for the value of:
(1/1)(1/2)(1/3)(1/4)(1/5) / (1/1)(1/2)(1/3)(1/4)
Since the first four fraction in the numerator and denominator cancel out, we're left with just one fraction:
1/4
D
Question: A man swims downstream 40 km and upstream 56 km taking 8 hours each time, what is the speed of the man in still water?
A.6
B.24
C.8
D.12
Answer: A.6
Explanation: 40 --- 8 DS = 5
? ---- 1
56 ---- 8 US = 7
? ---- 1 M = ?
M = (5 + 7)/2 = 6
Answer: A
Question: 35+15x1.5=?
A.75
B.51.5
C.57.5
D.5.25
Answer: C.57.5
Explanation: =35+15 x 3/2
=35+45/2
=35+22.5
=57.5
Answer is C
Question: A 240 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
A.230 m
B.240 m
C.260 m
D.320 m
Answer: C.260 m
Explanation: Relative speed = (120 + 80) km/hr
=	(200 x(5/18))m/sec
=	(500/9)m/sec.
Let the length of the other train be x metres.
Then,	(x + 240)/9 = 500/9
x + 240 = 500
x = 260.
C
Question: What will come in place of the x in the following Number series? 73205, 6655, 605, 55, x
A.64789
B.73205
C.97654
D.45678
Answer: B.73205
Explanation: (B)
5 x 11 = 55, 55 x 11 = 605, 605 x 11 = 6655, 6655 x 11 = 73205
Question: The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?
A.69
B.78
C.96
D.Either (a) or (c)
Answer: D.Either (a) or (c)
Explanation: Let the ten's digit be x and unit's digit be y.
Then, x + y = 15 and x - y = 3 or y - x = 3.
Solving x + y = 15 and x - y = 3, we get: x = 9, y = 6.
Solving x + y = 15 and y - x = 3, we get: x = 6, y = 9.
So, the number is either 96 or 69.
ANSWER : D
Question: 1.A committee that includes 6 members is about to be divided into 2 subcommittees with 3 members each. On what percent of the possible subcommittees that Michael is a member of is David also a member
A.A.10%
B.B.39%
C.C.25%
D.D.60%
Answer: B.B.39%
Explanation: A,C is too low so I eliminated those answers, E, D was too high of a number, so I chose B as my final answer.B
Question: The sum of three consecutive even numbers is 24. Find the middle number of the three?
A.14
B.16
C.18
D.24
Answer: B.16
Explanation: Three consecutive even numbers (2P - 2), 2P, (2P + 2).
(2P - 2) + 2P + (2P + 2) = 24
6P = 24 => P = 4.
The middle number is: 4P = 16.
ANSWER:B
Question: When the integer k is divided by 7, the remainder is 6. Which of the following expressions below when divided by 7, will have a remainder of 5?
I. 4k + 2
II. 6k + 4
III. 8k + 3
A.I only
B.II only
C.III only
D.I and II only
Answer: D.I and II only
Explanation: k = 7j + 6
4k + 2 = 28j + 24 + 2 = 28j + 21 + 5
6k + 4 = 42j + 36 + 4 = 42j + 35 + 5
8k + 3 = 56j + 48 + 3 = 56j + 49 + 2
The answer is D.
Question: A certain plant was 11 feet long on the day it was plantedthe length grows by a constant amount everyday(inc. the first day it was planted).
if this plant grew by 50% b/w the 4th day and 10 th day after it was planted ,how many feet per day does the plant grow
A.a) 2
B.b) 4.5
C.c) 1.38
D.d) 5.5
Answer: C.c) 1.38
Explanation: If the plant is 11 feet tall when it is planted, it will be 11 + k feet tall at the end of the day (where k is the constant length it grows by every day).
Similarly, at the end of the 4th day the plant must be 11 + 4k feet tall and at the end of the 10th day it must be 11 + 10k feet tall.
Therefore 6k = 0.5 (11 + 4k)
=> k = 1.38
Therefore the plant grows by 1.38 feet every day.
Option (C)
Question: In how many ways can the letters {U, U, U, R, R,R} be arranged?
A.20
B.30
C.120
D.720
Answer: A.20
Explanation: My answer : A
There is 6! ways to arrange those letters in total, however letter U repeats 3! times and letter R repeats 3! times
=> the way to arrange without repeating = 6!/ [3!x3!] = 20
Question: Two trains 180 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
A.10.7
B.10.9
C.10.24
D.12.24
Answer: D.12.24
Explanation: Relative speed = 60 + 40 = 100 km/hr.
= 100 * 5/18 = 250/9 m/sec.
Distance covered in crossing each other = 180 + 160 = 340 m.
Required time = 340 * 9/250
= 12.24 sec.
Answer:D
Question: What is the sum of natural numbers between 30 and 100
A.4615
B.4860
C.5000
D.5500
Answer: A.4615
Explanation: a = first number
l = last number
Sn = n/2[a + l]
between 30 and 100 numbers = 71 => 100 - 30 = 70 + 1 = 71
Sn = 71/2 Ã— 130 = 71 Ã— 65 = 4615
Answer : A
Question: In how many different number of ways 5 boys and 5 girls can sit on a shopa which can accommodate 5 persons?
A.30240
B.2000
C.3024
D.3000
Answer: A.30240
Explanation: Option 'A'
10 p5 = 10x9x8x7x6= 30240
Question: A sum of Rs. 12500 amounts to Rs. 17000 in 4 years at the rate of simple interest. What is the rate of interest?
A.9%
B.5%
C.6%
D.8%
Answer: A.9%
Explanation: S.I. = (17000 - 12500) = Rs. 4500/-
Rate = (100 * 4500) / (12500 * 4) = 9%
ANSWER:A
Question: An air-conditioning unit costs $470. On December there was a discount for Christmas of 16%. Six months later, the holiday season was over so the company raised the price of the air-conditioning by 20%. How much will an air-conditioning unit cost in November?
A.$458
B.$470
C.$474
D.$484
Answer: C.$474
Explanation: if its previous November (before discount) then price is $470.
but if its November of next year then
16% discount on $470=470(1-16/100)=$394.8
again a corrected raised price of 20% over $394.8=394.8(1+20/100)=473.76~$474
Ans C
Question: If by selling an article for Rs.60, a person loses 1/7 of money, what would he have gained or lost % by selling it for Rs.77?
A.6%
B.10%
C.14%
D.15%
Answer: B.10%
Explanation: Sol. CP - = EC7 = 70 1-7 6 77-70 % Profit = 100 = 10%
B
Question: If two numbers are in the ratio 4:5. If 10 is added to both of the numbers then the ratio becomes 5:6 then find the smallest number?
A.10
B.20
C.30
D.40
Answer: D.40
Explanation: Explanation:
4:5
4x + 10 : 5x + 10 = 5 : 6
6[4x + 10] = 5[5x + 10]
24x + 60 = 25x + 50
25x - 24x = 60 - 50
x = 10
Then smallest number is =4
4x = 40
Answer: Option D
Question: Baby Isabel plays with blocks. Each block is 2.4 inches tall. She has a collection of 30 blocks. If she could stack all of the blocks up one on top of the other, how many inches tall would her tower of blocks be?
A.67"
B.90"
C.72"
D.120"
Answer: C.72"
Explanation: 2.4"*30=72". Answer is C.
Question: A does a work in 30 days and B does the same work in 10 days. In how many days they together will do the same work ?
A.5.5 days
B.6.5 days
C.7.5 days
D.8.5 days
Answer: C.7.5 days
Explanation: Explanation:
Firstly we will find 1 day work of both A and B, then by adding we can get collective days for them,
So,
A's 1 day work = 1/30
B's 1 day work = 1/10
(A+B)'s 1 day work =
(1/30+1/10)=2/15
So together they can complete work in 7.5 days.
Answer: C
Question: A farmer wishes to start a 100 sq. m. rectangular vegetable garden. Since he has only 30 meter barbed wire, he fences three sides of the garden letting his house compound wall act as the fourth side fencing. Then find the dimension of the garden.
A.10 m * 5 m
B.15 m * 5 m
C.20 m * 5 m
D.25 m * 5 m
Answer: C.20 m * 5 m
Explanation: Explanation:
From the question, 2b+l = 30
=> l = 30-2b
Area=100m2=>l×b=100=>b(30−2b)=100b2−15b+50=0=>(b−10)(b−5)=0
Area=100m2
=>l×b=100
=>b(30−2b)=100
b2−15b+50=0
=>(b−10)(b−5)=0
b = 10 or b = 5
when b = 10 then l = 10
when b = 5 then l = 20
Since the garden is rectangular so we will take value of breadth 5.
So its dimensions are 20 m * 5 m
Option C
Question: A bag contains an equal number of one rupee, 50 paise and 25 paise coins respectively. If the total value is 210, how many coins of each type are there?
A.20 coins
B.50 coins
C.100 coins
D.120 coins
Answer: D.120 coins
Explanation: Let number of each type of coin = x. Then,
1 × x + .50 × x + .25x = 210
⇒ 1.75x = 210 ⇒ x = 120 coins
Answer D
Question: Given two fair dice, what is the probability G that the sum of their numbers is 4 if exactly one die shows a 3?
A.a) 2/11
B.b) 1/18
C.c) 3/11
D.d) 2/39
Answer: A.a) 2/11
Explanation: If exactly one die shows 3, there are 10 such combinations (given that we have 2 fair dice).
1:3, 2:3, 4:3, 5:3, 6:3,
3:1, 3:2, 3:4, 3:5, 3:6
The sum of numbers would be 4 for two events: 1:3, 3:1.
G=2/11 would be the answer if 'at least one of the die shows a 3'.A
Question: The population of a bacteria colony doubles every day. If it was started 8 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today?
A.512
B.768
C.1024
D.2048
Answer: A.512
Explanation: 8 days ago- 2
7 days ago- 4
6 days ago- 8
5 days ago- 16
4 days ago- 32
3 days ago- 64
2 days ago- 128
Yesterday- 256
Today-512
Ans:A
Question: A cubical tank is filled with water to a level of 3 feet. If the water in the tank occupies 48 cubic feet, to what fraction of its capacity is the tank filled with water?
A.1/2
B.2/3
C.3/4
D.4/5
Answer: C.3/4
Explanation: The volume of water in the tank is H*L*B = 48 cubic feet.
Since H = 3, then L*B = 16 and L = B = 4.
Since the tank is cubical, the capacity of the tank is 4*4*4 = 64.
The ratio of the water in the tank to the capacity is 48/64 = 3/4
The answer is C.
Question: Goldenrod and No Hope are in a horse race with 6 contestants. How many different Q arrangements of finishes are there if No Hope always finishes before Goldenrod and if all of the horses finish the race?
A. 720
B. 360
C. 120
D. 24
Answer: B. 360
Explanation: no hope finishing before goldenrod= 1/2 of the times
therefore the different arrangements Q are 1/2* 6! = 360 = B
Question: X and Y started a business investing Rs. 48,000 and Rs. 40,000 respectively. In what ratio the profit earned after 6 years be divided between X and Y respectively?
A.6:5
B.5:6
C.4:6
D.6:7
Answer: A.6:5
Explanation: X:Y = 48000 : 40000 = 6:5.
ANSWER:A
Question: 7 teams compete in a track competition. If there are 18 events in the competition, no event ends in a tie, and no team wins more than 3 events, what is the minimum possible number of teams that won at least one event?
A.3
B.4
C.5
D.6
Answer: D.6
Explanation: 3(max wins) x 6 =18 (6 teams win three events)
The answer is D.
Question: At the faculty of Aerospace Engineering, 312 students study Random-processing methods, 234 students study Scramjet rocket engines and 112 students study them both. If every student in the faculty has to study one of the two subjects, how many students are there in the faculty of Aerospace Engineering?
A.430
B.434
C.438
D.444
Answer: B.434
Explanation: 312 + 234 - 112 (since 112 is counted twice )= 434
B is the answer
Question: A no.when divided by 220 gives a remainder 43, what remainder will beobtained by dividingthe same no.67?
A.4
B.6
C.9
D.11
Answer: C.9
Explanation: 221 + 43 = 264/17 = 9 (Remainder)
C
Question: Samantha's investment portfolio consists of three stocks: an airline, a bank, and a computer company. In the month of February, the price of the airline's stock rose by 10%, that of the bank decreased by 10% and that of the computer company also decreased by 15%, but the overall value of her portfolio increased. If Samantha owns equal amounts of all three stocks, which of the following could be the initial prices of the three stocks in the order airline, bank, and computer company respectively?
A.$55, $85, $40
B.$85, $25, $20
C.$65, $55, $90
D.$65, $60, $60
Answer: B.$85, $25, $20
Explanation: Since Samantha owns equal amounts of stocks, the 10% increase alone should set off the 10% and 15%decrease in each of the other two stocks. i.e The stock which increased should have a substantially higher value than the two stocks which decreased. Between B and D, D is obviously the safer bet and is the right answer.
Answer is B.
Question: Statements: In a one day cricket match, the total runs made by a team were 200. Out of these 160 runs were made by spinners. Conclusions: 1) 80% of the team consists of spinners. 2) The opening batsmen were spinners.
A.Only conclusion I follows
B.Only conclusion II follows
C.Either I or II follows
D.Neither I nor II follows
Answer: D.Neither I nor II follows
Explanation: According to the statement, 80% of the total runs were made by spinners. So, I does not follow. Nothing about the opening batsmen is mentioned in the statement. So, II also does not follow.
D
Question: Sum of two numbers is 10. Two times of the first exceeds by 5 from the three times of the other. Then the numbers will be?
A.A)7
B.B)9
C.C)11
D.D)13
Answer: A.A)7
Explanation: Explanation:
x + y = 10
2x – 3y = 5
x = 7 y = 3
A)
Question: In a Festival season Director informed his 15 staffs with their family to go for a one day tour. Some ladies are married and some are unmarried and some having their Kids. Director & 6 staffs are married with 1 kid each. Total how many members in the Vehicle?
A.21
B.30
C.40
D.25
Answer: B.30
Explanation: Married Staffs with their family = 6 X3 = 18 persons
Director with family = 1x3 = 3 persons
Unmarried staffs = 9
Total persons = 30
Answer is B
Question: George can do 3/5 of work in 9days.He then calls in pauls and they completed the work in 4days.How long paul would take long to complete the work?
A.32
B.28
C.35
D.30
Answer: D.30
Explanation: George work is (5/3)*9 =15;
1 day work of george is 1/15 ;
remaining is 2/5th;
paul & george work is 5/2*4=10 ;
their 1 day work is 1/10;
and only paul work is (1/10)-(1/15)=30
ANSWER:D
Question: The value of 40 coins of 10 p and 20 p is Rs. 5.50. The number of 20 p coins is
A.15
B.25
C.30
D.35
Answer: A.15
Explanation: Let the number of 20 paise coins be x.
Then, number of 10 paise coins = (40 – x).
10(40 – x) + 20x = 550 or 10x = 150 or x = 15.
ANSWER:A
Question: If 20 men can build a wall 66 metres long in 15 days, what length of a similar can be built by 86 men in 8 days?
A.151.36 mtrs
B.378.4 mtrs
C.478.4 mtrs
D.488.4 mtrs
Answer: A.151.36 mtrs
Explanation: If 20 men can build a wall 66 metres long in 15 days,
length of a similar wall that can be built by 86 men in 8 days = (66*86*8)/(15*20) = 151.36 mtrs
ANSWER:A
Question: There are r red ball, b blue ball and w white ball in a bag. What is the ratio of the number of blue ball to the total no. of ball in terms of r, b and w.?
A.r / (r + b + w)
B.r * (r + b + w)
C.(r + b + w)
D.r / (r + b )
Answer: A.r / (r + b + w)
Explanation: The total number of marbles is
r + b + w
The total ratio of blue marbles to the total number of marbles is
r / (r + b + w)
A
Question: Becky sets up a hot dog stand in her busy neighborhood and purchases x pounds of hot dogs for u dollars per pound. If she has to throw away s pounds of hot dogs due to spoilage and she sells the rest of the hot dogs for d dollars per pound, which of the following represents the net profit on the sale of the hot dogs?
A.(x – s)u – sd
B.xu – (xd – sd)
C.xd – su
D.(x – s)d – xu
Answer: D.(x – s)d – xu
Explanation: Answer D:
The amount of hotdogs she can sell is x-s. The price per pound is d, so the revenue is (x-s)d. The total costs are x time u, so the profit is (x-s)d-xu.
Question: A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
A.1.5
B.2.8
C.5.8
D.3.4
Answer: B.2.8
Explanation: 72 --- 9 DS = 8
? ---- 1
45 ---- 9 US = 5
? ---- 1 S = ?
S = (8 - 5)/2 = 1.5
Answer: B
Question: Eight people went to a restaurant for dinner. Seven of them spent $6 each on their meals and the eighth spent $14 more than the average expenditure of all eight people. What was the total amount of money that the eight people spent?
A.$56
B.$60
C.$64
D.$68
Answer: C.$64
Explanation: Let T be the total amount of money spent.
7*6 + (T/8 + 14) = T
56 = 7T/8
T = (8*56)/7 = 64
The answer is C.
Question: When the sum of two numbers is multiplied by 5, the product is divisible by 15. Which one of the following pairs of numbers satisfies the above condition?
A.240, 355
B.250, 341
C.245, 342
D.250, 261
Answer: B.250, 341
Explanation: Sol.
Clearly, 5 x (sum of numbers) is divisible by 15.
∴ Sum of numbers must be divisible by 3.
Now, (250+341) = 591 is divisible by 3. So, required pair is 250, 341.
Answer B
Question: A person borrows Rs. 6000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6 p.a for 2 years. Find his gain in the transaction per year.
A.120 rs
B.150 rs
C.160 rs
D.180 rs
Answer: A.120 rs
Explanation: Gain in 2 years =
[(6000*6*2)/100]-[(6000*4*2)/100]
720-480=240
Gain in 1 year =(240/2)=120 rs
ANSWER:A
Question: he average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person ?
A.75 kg
B.55 kg
C.45 kg
D.85 kg
Answer: D.85 kg
Explanation: Explanation:
Total weight increased = (8 x 2.5) kg = 20 kg.
Weight of new person = (65 + 20) kg = 85 kg.
Answer: D
Question: If w = 9/25, m = 15/32, and m + w + c = 1, which of the following gives the values of m, w, and c in increasing order?
A.c, m, w
B.c, w, m
C.m, w, c
D.w, c, m
Answer: B.c, w, m
Explanation: Answer B - c, w, m
w ~ 1/3
m ~ 1/2
and m+w+c = 1 hence c ~ 1/6
Hence increasing order would be c -> w -> m
Answer B
Question: Convert 20miles into yards?
A.25630 yards
B.35200 yards
C.39520 yards
D.42560 yards
Answer: B.35200 yards
Explanation: 1 mile = 1760 yards
20 miles = 20*1760 = 35200 yards
Answer is B
Question: If 1 kilometer is approximately 0.6 mile, which of the following best approximates the number of kilometers in 3 miles?
A.12/3
B.1/3
C.9/5
D.2/3
Answer: C.9/5
Explanation: 1 km is approxmately equal to 0.6 miles
So 3 km = 3*0.6 = 1.8 miles . Multiple & divide by 10
i.e 1.8*10/10 = 18/10 = 9/5
Answer : C
Question: A coin is tossed live times. What is the probability that there is at the least one tail?
A.31/32
B.31/38
C.31/36
D.31/34
Answer: A.31/32
Explanation: Let P(T) be the probability of getting least one tail when the coin is tossed five times.
= There is not even a single tail.
i.e. all the outcomes are heads.
= 1/32 ; P(T) = 1 - 1/32 = 31/32.
Answer:A
Question: A customer using a certain telephone calling plan pays a fee of $25 per month, and then receives a discount of 40% on the regular charge for all calls made to country R. If calls to country R are regularly charged at $1.60 per minute for the first 3 minutes, and $0.80 per minute for each minute thereafter, what is the maximum the customer could have saved over regular prices if he was charged for 1 hour of calls made to country R in a certain month?
A.$8.75
B.$12
C.$13.40
D.$17.40
Answer: C.$13.40
Explanation: Discount = 40% of spending
We want to maximise discount so we will need to maximise spending. We do that by assuming that 60 calls were made of 1 min each because the first minute is the most expensive.
Max discount = (40/100)* 60 * 1.6 = (40/100)*96
This would be slightly less than 40. About 38 to 39.
Saving = (Slightly less than 40) - 25 = Slightly less than 15 charged in R country
Answer (C)
Question: 20 litres of mixture of acid and water contain 10% water. How much water should be added so that percentage of water becomes 20% in this mixture?
A.2 L
B.3 L
C.2.5 L
D.4 L
Answer: A.2 L
Explanation: total mixture =20ltr
water contain = 10% of 20ltr => 2ltr water
it means 18ltr is acid in that mixture
we have to make 20% water so..20% of 20 = 4ltr water must be there in the new mixture
we have already 2 ltr water so we have to add 2 ltr more
ANSWER:A
Question: Q is a set of four distinct prime numbers. If the sum of the integers in Q is even and the number x is a member of Q, then what is the least value that x can be?
A.2
B.3
C.4
D.5
Answer: B.3
Explanation: Sum of 4 prime integers is Even
So all four integers should be odd numbers as including 2 in the set will make the sum Odd
Smallest odd prime number is 3
So Answer: B
Question: Evaluate: 60 - 9÷3×6 =
A.52
B.18
C.42
D.102
Answer: C.42
Explanation: According to order of operations, 9÷3×6 (division and multiplication) is done first from left to right
9÷3×6 = 3 × 6 = 18
Hence
60 - 9÷3×6 = 60 - 18 = 42
correct answer C)42
Question: A,B,C invested the capitals in a business. If A invested Rs. 20,000 more than B and C invested Rs.10,000 more than A, then how should a profit of Rs.14,000 be divided among A,B and C? Given : Capital of B is Rs.10,000
A.5500, 2500, 6000
B.5200, 2800, 6000
C.4250, 2250, 7500
D.5250, 1750, 7000
Answer: D.5250, 1750, 7000
Explanation: A==30,000
B==10,000
C==40,000
so, ration are3:1:4
profit 14000
so,, 14000/8==1750
so,, A==5250, B==1750,, C==7000
ANSWER:D
Question: If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is?
A.827 m
B.876 m
C.200 m
D.256 m
Answer: C.200 m
Explanation: 2(l + 100) = 600
=> l = 200 m
Answer: C
Question: Find the unit's digit in 264^102+264^103
A.0
B.1
C.2
D.3
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: When Tom works alone he chops 3 lb. salad in 2 minutes, and when Tammy works alone she chops 2 lb. salad in 3 minutes. They start working together, and after some time finish chopping 65 lb. of salad. Of those 80 lb., the salad quantity chopped by Tom is what percent greater than the quantifying chopped by Tommy?.
A.44%
B.100%
C.125%
D.225%
Answer: C.125%
Explanation: Tammy chops 4 lbs in 6 minutes
Tom chops 9 lbs in 6 minutes
So in the same amount of time, Tammy chops 125% more than Tom, since 9 is 125% greater than 4. So 125% is the answer.
Note that the actual time doesn't matter. If you multiply the time each work by x, you'll multiply the work each does by x, and 9x is still 125% greater than 4x.
Ans :C
Question: At what price must an article costing Rs.47.50 be marked in order that after deducting 6% from the list price. It may be sold at a profit of 25% on the cost price?
A.63.16
B.62.6
C.62.1
D.62.7
Answer: A.63.16
Explanation: CP = 47.50
SP = 47.50*(125/100) = 59.375
MP*(94/100) = 59.375
MP = 63.16
Answer: A
Question: A car started running at a speed of 30 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 8 hours of the journey.
A.296 km
B.352 km
C.642 km
D.742 km
Answer: A.296 km
Explanation: The total distance covered by the car in the first 8 hours = 30 + 32 + 34 + 36 + 38 + 40 + 42 + 44 = sum of 8 terms in AP whose first term is 30 and last term is 44 = 8/2 [30 + 44] = 296 km.
ANSWER:A
Question: A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat in still water and stream is
A.3:1
B.1:3
C.2:4
D.4:2
Answer: A.3:1
Explanation: Explanation:
Let speed downstream = x kmph
Then Speed upstream = 2x kmph
So ratio will be,
(2x+x)/2 : (2x-x)/2
=> 3x/2 : x/2 => 3:1
Option A
Question: 20 is subtracted from 80% of a number, the result is 60. Find the number?
A.150
B.997
C.100
D.288
Answer: C.100
Explanation: (80/100) * X – 20 = 60
8X = 800
X = 100
Answer:C