RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
A.300
B.320
C.350
D.345
Answer: C.350
Explanation: Speed = [300 / 18] m/sec = 50/3 m/sec.
Let the length of the platform be x meters.
Then, x + 300 / 39 = 50/3
3(x + 300) = 1950 è x = 350
Answer: Option C
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
A.477
B.444
C.279
D.276
Answer: B.444
Explanation: 1h ----- 5
? ------ 60
12 h
RS = 16 + 21 = 37
T = 12
D = 37 * 12 = 444.Answer: B
Question: A hotel has 10 storeys.Which floor is above the floor below the floor, below the floor above the floor, below the floor above the fifth.
A.5 th Floor
B.4 th Floor
C.6 th Floor
D.1 st Floor
Answer: A.5 th Floor
Explanation: Explanation :
Just start from last
below the floor above the 5th is again -- 5th only [since above d 5th is 6th nd below the 6th is 5th]
below the floor above the floor means -- 5th only [above the 5th is 6th nd below the 6th is 5th]
above the floor below the floor means -- again 5th only [below the 5th is 4th nd above the 4th is 5th]
Hence (A) is correct answer.
Answer : A
Question: In an election between 2 candidates, 75% of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election?
A.16800
B.15268
C.14800
D.15620
Answer: A.16800
Explanation: Let the total number of votes enrolled be x.
Then, number of votes cast = 75% of x.
Valid votes = 98% of (75% of x)
75% of (98% of (75% of x)) = 9261
(75/100)*(98/100)*(75/100)x = 9261
x = 16800
Answer is A
Question: If 48 men can do a piece of work in 25 hours, in how many hours will 15 men
do it ?
A.80 hours
B.75 hours
C.70 hours
D.65 hours
Answer: A.80 hours
Explanation: Let the required number of hours be x. Then,
Less men, More hours	(Indirect Proportion)
15 : 48 : : 25 : x<=>(15 x x) =(48 x 25)<=>(48 x 25)/15 = 80
Hence, 15 men can do it in 60 hours
Answer is A.
Question: There are 250men and 150 women in a committee, if all will work they will complete 12 units per day, if all men work they will complete 15 units per day, how many units will women complete per day?
A.2
B.3
C.4
D.5
Answer: B.3
Explanation: I think there is a mistake in this question. If all men and women together complete 12 units, how only men can do 15 Units of work a day?
Forgetting about the reality, Women can do -3 units a day.
Answer:	B
Question: If A is thrice as fast as B and together can do a work in 18 days. In how many days A alone can do the work?
A.36
B.42
C.24
D.54
Answer: C.24
Explanation: A’s one day’s work= 1/X
B’s one day’s work= 1/3x
A + B’s one day’s work= 1/x + 1/3x = 1/18
= 3+1/3x = 4/3x = 1/18
x = 18*4/3 = 24
ANSWER:C
Question: In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, what is the dividend ?
A.4236
B.4306
C.4336
D.5336
Answer: D.5336
Explanation: Divisor = (5 x 46) = 230
10 x Quotient = 230 =	230/10= 23
Dividend = (Divisor x Quotient) + Remainder
= (230 x 23) + 46
= 5290 + 46
= 5336.
Answer :D
Question: Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 2 ½ hours if they are walking in the same direction?
A.7 km
B.6 km
C.3 1/8 km
D.9 km
Answer: C.3 1/8 km
Explanation: RS = 5 ¾ - 4 ½ = 1 ¼
T = 2 ½ h.
D = 5/4 * 5/2 = 25/8
= 3 1/8 km
Answer:C
Question: How many 1/8's are there in 371/2 ?
A.1384
B.1484
C.1584
D.1684
Answer: B.1484
Explanation: no of 1/8 's in 371/2 = (371/2)/(1/8)= 8*371/2= 371*4= 1484
ANSWER:B
Question: Three candidates contested an election and received 1136, 7636 and 14628 votes respectively. What percentage of the total votes did the winning candidate got?
A.55%
B.56%
C.62.5%
D.58%
Answer: C.62.5%
Explanation: Total number of votes polled = (1136 + 7636 + 14628) = 23400
So, Required percentage = 14628/23400 * 100 = 62.5%
ANSWER : C
Question: what is the least number by which 2,100 must be divided to get a number perfect square
A.21
B.42
C.24
D.40
Answer: A.21
Explanation: 2,100/21=100
100=(10)^2
Ans-21
ANSWER:A
Question: Rick deposited $750 to his bank account using $5 and $15 dollar bills only. If Rick came to the bank with 70 bills and left with 10 bills only, how many $15 dollar billsმ did he deposit?
A.5.
B.45.
C.50.
D.55.
Answer: B.45.
Explanation: 5x+15y=750 --1
x+y=60 ---2
multiply eq 2 with 5 and subtract from eq 1
5x+15y=750
5x+5y=300
10y= 450
y=45 and x = 15
therefore $15 bills = 45
Answer B
Question: 10 litres of water are poured into an aquarium of dimensions 50cm length, 20cm breadth, and 40cm height. How high (in cm) will the water rise?
(1 litre = 1000cm³)
A.6
B.8
C.10
D.20
Answer: C.10
Explanation: lXbXh= 10000
h= 10000/50*20= 10 cm
'C' is the answer.
Question: The average marks obtained by 120 cndidates in a certainexaminationis 35.if the average marks of passed candidate is 39 and that of the failedcandidates is 15,what is the number of candidates who passed the examination
A.12 years 8 month
B.13 years
C.14 years 8 month
D.15 years 7 month
Answer: C.14 years 8 month
Explanation: (d) Let No. of passed candidates are x
So, x * 39 + (120 – x) 15= 120 * 35
x = 100
2.(a) Total increase = 8 * 2 = 16 years
So, total age of two women = 35 + 45 +16= 96
Average age of two women=96/2=48 years
3(d) Total decrease = 20 * 2 = 40 month
= 3 years 4 month
So, age of new boy = 18 years – 3 years 4 month
= 14 years 8 month
C
Question: What is the approx. value of W, if W=(1.5)11, Given log2 = 0.301, log3 = 0.477
A.85
B.84
C.86
D.87
Answer: C.86
Explanation: Explanation :
W = (1.5)11
Take log both sides:
=> logW = 11 x log(1.5) =11 x log(3/2)
=> logW = 11 x (log3 - log2) = 11 x 0.176 = 1.936
=> W = 101.936
=> W = 86 (approx)
Answer : C
Question: Jane had an average of 87 on his first 7 tests. She had an average score of 90 on her first 6 tests. What did he score on the 7th test?
A.69
B.75
C.90
D.86
Answer: A.69
Explanation: The sum of Jane's first 7 scores is 7 Â· 87 and the sum of her first 6 scores is 6 Â· 90, so she received
7 Â· 87 âˆ’ 6 Â· 90 on her 7th quiz. You can do the arithmetic or notice that the answer ends in a 9. The correct answer is A.
Question: Find the remainder when 6^23 is divided by 5 ?
A.3
B.2
C.1
D.0
Answer: C.1
Explanation: 6^23 = 6^(4*5+3) = 6^(20) * 6^3 last 3 digits = 216
216/5 remainder = 1
ANSWER:C
Question: Which is the least number that must be subtracted from 1856 so that the remainder when divided by 7, 12, 16 is 6?
A.168
B.172
C.170
D.174
Answer: C.170
Explanation: First we need to figure out what numbers are exactly divisible by 7,12,16. This will be the set {LCM,LCMx2,LCMx3,...}
LCM(7,12,16) = 48*7 = 336
The numbers which will leave remainder 6 will be {336+6, 336x2 +6, 336x3 +6,...}
The largest such number less than or equal to 1856 is 336x5+6 or 1686
To obtain this you need to subtract 170.
C
Question: There are 40 people in a party. If everyone is to shake hands with one another, how many hand shakes are possible?
A.780
B.667
C.661
D.297
Answer: A.780
Explanation: Explanation:
Total number of persons = n = 40
Shake hands involve only 2 persons = r = 2
Number of shake hands = nCr = 40C2
40C2 = (40 * 39) /(2 * 1) = 780
ANSWER:A
Question: A and B invests Rs.10000 each, A investing for 9 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.21000, find their shares?
A.1300,1500
B.9000,12000
C.7290,8000
D.15000,12000
Answer: B.9000,12000
Explanation: The ratio of their profits A:B = 9:12 = 3:4
Share of A in the total profit = 3/7 * 21000 = Rs.9000
Share of B in the total profit = 4/7 * 21000 = Rs.12000
Answer:B
Question: A can do a piece of work in 3days of 8 hours each and B alone can do it in 4 days of 9 hours each.how long will they take it to do working together
7 1/5 hours a day?
A.3 days
B.2 days
C.5 days
D.7 days
Answer: B.2 days
Explanation: A's work per hour=1/24
B's work per hour=1/36
A & B's work per hour together=(1/24)+(1/36)=5/72
so A & B together complete the work in 72/5 hours...
if they work 7 1/5=36/5 hours a day,
it will take (72/5)/(36/5) days=2 days...
ANSWER:B
ANSWER:B
Question: If n > 0 , which of the following must be true?
I n^2 > 1
II	n - n^2 < 0
III	2n - 1 < 0
A.I only
B.II only
C.III only
D.I and II only
Answer: D.I and II only
Explanation: I. True for all values of n except 1
When n = 1 ; n^2 = 1
II. True for all values of n except 1
When n = 1 ; n - n^2 = 1 - 1 =>0
III	false for all values of n
Hence the correct answer will be (D)
Question: What value of K gives the equation,3k-2=2k-1?
A.ONE
B.TWO
C.THREE
D.FOUR
Answer: A.ONE
Explanation: 3k-2=2k-1
If k=1
3(1)-2=2(1)-1
3-2=2-1
1=1
Option A is answer
Question: How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 30 m long and 16 1/2 m board?
A.99
B.88
C.77
D.55
Answer: A.99
Explanation: Answer: Option A
Explanation:
30 * 33/2 = 5/2 * 2 * x => x = 99
Answer: A
Question: The average temperature for Tuesday, Wednesday and Thursday was 42°C. The average temperature for Wednesday, Thursday and Friday was 44°C. If the temperature on Friday be 43°C, what was the Temperature on Tuesday?
A.39°C
B.44°C
C.37°C
D.42°C
Answer: C.37°C
Explanation: Explanation:
T + W + T = 42 × 3 = 126°C
W+ T+ F = 44 × 3 = 132°C
Also, temperature on Friday = 43°C
Temperature on Tuesday = 126 +43 - 132 = 37°C
Answer: Option C
Question: A trader has 40 kg of rice, a part of which he sells at 14% profit and rest at 6% loss. On the whole his loss is 4% . What is the quantity sold at 14% profit and that at 6% loss?
A.4 and 36 kg
B.10 and 40 kg
C.15 and 35 kg
D.20 and 30 kg
Answer: A.4 and 36 kg
Explanation: Alligation Method
I PART II PART
14 (x1) -6 (x2)
\ /
x
/ \
(x2-x) (x-x1)
2 18
1 9
Ratio of quantities sold at 14% profit and 6% loss = 1: 9
Quantity sold at 14% profit = 40/1+9 *1 = 4 kg
Quantity sold at 6% loss = 40/1+9 *9 = 36kg
ANSWER:A
Question: The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 9 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
A.s.4538
B.s.8154
C.s.4518
D.s.4530
Answer: B.s.8154
Explanation: Area of the four walls = 2h(l + b)
Since there are doors and windows, area of the walls = 2 * 12 (15 + 25) - (6 * 3) - 3(4 * 3) = 906 sq.ft.
Total cost = 906 * 9 = Rs.8154
Answer: B
Question: The no. of girls in a class are seven times the no. of boys, which value cannever be the of total students?
A.10
B.15
C.30
D.34
Answer: C.30
Explanation: Let the boys are X, then girls are 7X, total = X+7X = 8X
So it should be multiple of 8, 30 is not a multiple of 8.
C
Question: Divide $672 among A,B in the ratio 5:3. How many $ that A get?
A.$120
B.$500
C.$420
D.$610
Answer: C.$420
Explanation: Sum of ratio terms = 5+3 = 8
A = 672*5/8 = $420
Answer is C
Question: P alone can complete a job in 5 days. The work done by Q alone in one day is equal to one-fourth of the work done by P alone in one day. In how many days can the work be completed if P and Q work together?
A.2.5
B.3.0
C.3.5
D.4.0
Answer: D.4.0
Explanation: P's rate is 1/5
Q's rate is 1/20
The combined rate is 1/5 + 1/20 = 1/4
If they work together, the job will take 4 days.
The answer is D.
Question: A and B start a business, with A investing the total capital of Rs.50000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.1500 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year?
A.28999
B.27888
C.27838
D.59000
Answer: D.59000
Explanation: Interest received by A from B = 10% of half of Rs.50000 = 10% * 25000 = 2500.
Amount received by A per annum for being a working partner = 1500 * 12 = Rs.18000.
Let 'P' be the part of the remaining profit that A receives as his share. Total income of A = (2500 + 18000 + P)
Total income of B = only his share from the remaining profit = 'P', as A and B share the remaining profit equally.
Income of A = Twice the income of B
(2500 + 18000 + P) = 2(P)
P = 20500
Total profit = 2P + 18000
= 2*20500 + 18000 = 59000
Answer: D
Question: A salesman's income consists of a commission and a base salary of $370 per week. Over the past 5 weeks, his weekly income totals have been $406, $413, $420, $436 and $395. What must his average (arithmetic mean) commission be per week over the next two weeks so that his average weekly income is $500 over the 7-week period?
A.$150
B.$345
C.$365
D.$715
Answer: B.$345
Explanation: Total weekly income over 5 weeks=$406+$413+$420+$436+$395=$2070
For avg weekly income to be $500 over 7 weeks, we need total weekly income over 7 weeks=$3500
Now, $3500-$2070=$1430
From this, we subtract base salary for 2 weeks i.e $370*2=$740
Therefore, commission=$1430-$740=$690 for 2 weeks
Avg weekly commission=$345
Answer B
Question: A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 60 percent of the distribution lies within one standard deviation d of the mean, what percent of the distribution is less than m + d ?
A. 80%
B. 32%
C. 48%
D. 84%
Answer: A. 80%
Explanation: This is easiest to solve with a bell-curve histogram. m here is equal to µ in the Gaussian normal distribution and thus m = 50% of the total population.
So, if 60% is one st.Dev, then on either side of m we have 60/2 = 30%. So, 30% are to the right and left of m (= 50%). In other words, our value m + d = 50 + 30 = 80% goingfrom the mean m, to the right of the distributionin the bell shaped histogram.. This means that 80% of the values are below m + d.
Like I said, doing it on a bell-curve histogram is much easier to fullygethow this works, or you could apply GMAT percentile jargon/theory to it
A
Question: If the average ages of three groups of 30, 40, 50 people respectively is 30,40,50 what is the average ages of all the people?
A.23.78
B.41.66
C.34.67
D.23.9
Answer: B.41.66
Explanation: Average ages of group 1 =30
people in group 1 = 30
Total ages of group 1 = 30*30
Average ages of group 2 = 40
people in group 2 = 40
Total ages of group 2 = 40*40
Average ages of group 3 = 50
people in group 3 = 50
Total ages of group 3 = 50*50
Total people = 40 + 30 + 50 = 120
Average ages of all the people
=((40*40)+(50×50)+(30×30))/120
=125/3
=41.66
Answer is B.
Question: The probability that a number selected at random from the first 50 natural numbers is a composite number is?
A.17/22
B.17/25
C.17/21
D.17/91
Answer: B.17/25
Explanation: The number of exhaustive events = ⁵⁰C₁ = 50.
We have 15 primes from 1 to 50.
Number of favourable cases are 34.
Required probability = 34/50 = 17/25.
Answer:B
Question: If a large pizza has a radius that is 50% larger that that of a medium pizza, what is the percent increase in area between a medium and a large pizza?
A.25%
B.50%
C.75%
D.125%
Answer: D.125%
Explanation: Let the radius of medium pizza be r. Then the radius of large pizza is 1.5r.
The area of the medium pizza is pi*r^2
The area of the large pizza is pi*(1.5*r)^2 = 2.25*pi*r^2, an increase of 125%.
The answer is D.
Question: Raju age before 5 years will be 2 times his age 5 years back, What is the present age of Raju
A.9 years
B.8 years
C.5 years
D.6 years
Answer: C.5 years
Explanation: Explanation:
Clearly,
x-5 = 2(x-5)
=> x = 5
Option C
Question: If integers c and b are distinct factors of 30, which of the following CANNOT be a factor of 30?
I. cb + b^2
II. (c + b)^2
III. c + b
A.I only
B.II only
C.III only
D.I and II only
Answer: B.II only
Explanation: Factors of 30 are: 1, 2, 3, 5, 6, 10, 15, and 30.
I. cb + b^2 --> if c=1 and b=2 then cb + b^2=6, which is a factor of 30. OK;
II. c + b)^2 --> (c + b)^2 is a perfect square, no perfect square (but 1) is a factor of 30. DISCARD;
III. c + b --> if c=1 and b=2 then c + b=3, which is a factor of 30. OK.
Answer: B.
Question: A train 165 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?
A.9 sec
B.6 sec
C.7 sec
D.10 sec
Answer: A.9 sec
Explanation: Solution
Speed of train relative to man =(60+6) km/hr= 66km/hr
=(66x5/18) m/sec =(55/3) m/sec
∴ Time taken to pass the man = (165x3/55)sec = 9 sec
Answer A
Question: A letter lock consists of five rings each marked with four different letters. The number of distinct unsuccessful attempts to open the lock is at the most ?
A.3177
B.3124
C.3215
D.168
Answer: C.3215
Explanation: Since each ring consists of four different letters, the total number of attempts possible with the five rings is
= 5 * 5 * 5 * 5 *5 = 3125. Of these attempts, one of them is a successful attempt.
Maximum number of unsuccessful attempts
= 3125- 1
= 3124.
Answer: C
Question: A soft drink company had 6000 small and 15000 big bottles in storage. If 12% of small 14% of big bottles have been sold, then the total bottles remaining in storage is
A.15360
B.16010
C.18180
D.14930
Answer: C.18180
Explanation: 6000 + 15000 - (0.12*6000 + 0.14*15000) = 18180.
Answer: C.
Question: A dog has 15 bones, then he finds 8 more bones. Now how many bones does he have.
A.A) 7
B.B) 27
C.C) 23
D.D) 19
Answer: C.C) 23
Explanation: 15 + 8 = 23. Answer is C.
Question: The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 46 years, was replaced by a new person. Find the age of the new person?
A.18
B.56
C.16
D.17
Answer: C.16
Explanation: Initial average age of the 10 persons be P.
Age of the new person Q.
Sum of the ages of the initial 10 persons = 10P
New average
= (P-3) 10(P-3)
= 10P - 46 + Q
=> Q = 16
Answer:C
Question: A batsman scored 120 runs which included 3 boundaries and 8 sixes. What percent of his total score
did he make by running between the wickets
A.40%
B.50%
C.60%
D.70%
Answer: B.50%
Explanation: Explanation:
Number of runs made by running = 110 - (3 x 4 + 8 x 6)
= 120 - (60)
= 60
Now, we need to calculate 60 is what percent of 120.
=> 60/120 * 100 = 50 %
Answer: Option B
Question: In a race of 150 m, A gives B a start of 20 m. What distance will be covered by B ?
A.100 m
B.130 m
C.170 m
D.160 m
Answer: B.130 m
Explanation: Required distance = (150 - 20) m = 130 m
Answer :B
Question: A train 285 m long, running with a speed of 54 km / hr will pass a tree in
A.19 sec
B.15 sec
C.16 sec
D.20 sec
Answer: A.19 sec
Explanation: Sol.
Speed = (54 x 5/18) m/sec.
= 15 m / sec.
Time taken = (285 x 1/15) sec = 19 sec
Answer A
Question: A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 6 years ago?
A.8
B.10
C.12
D.14
Answer: A.8
Explanation: Let's say
Age of Richard is "R"
Age of David is "D"
Age of Scott is "S"
Now
Richard is 6 years older than David,
i.e. R = D +6
David is 8 years older than Scott
i.e. D = S +8
If in 8 years, Richard will be twice as old as Scott
i.e. R+8 = 2x(S+8)
i.e. R+8 = 2S + 16
i.e. R = 2S+8
But R = D+6 = (S+8)+6 = S+14
therefore, 2S + 8 = S +14
i.e. S = 6
i.e. R = 20
i.e. D = 14
Now,
how old was David 6 years ago?
i.e. D-6 = 14-6 = 8 years
ANSWER:A
Question: A cricketer scored 132 runs which included 12 boundaries and 2 sixes. What percent of his total score did he make by running between the wickets.
A.46.2%
B.54.54 %
C.63%
D.70%
Answer: B.54.54 %
Explanation: Explanation :
Number of runs made by running = 132 - (12 x 4 + 2 x 6)
= 132 - (60)
= 72
Now, we need to calculate 72 is what percent of 132.
=> 72/132 * 100 = 54.54 %
Answer : B
Question: the ratio of type of pen and type of notebook is 5:4.and in 80 ways one can start writing.tell me the no. of pen and no. of notebook.
A.6,12
B.10,6
C.10,8
D.8,4
Answer: C.10,8
Explanation: let the ratio constant be x.
no. of pen=5x,no. of notebook =4x.
total no. of ways of start writing=5x*4x=20(square of x)=80
x=âˆš4=2
pen=10,notebook=8
answer C
Question: A train 150 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train?
A.5 sec
B.9 sec
C.12 sec
D.18 sec
Answer: B.9 sec
Explanation: Answer : B.
Speed of the train relative to man = (68 - 8) kmph
= (60* 5/18) m/sec = (50/3)m/sec
Time taken by the train to cross the man
= Time taken by It to cover 150 m at 50/3 m / sec = 150 *3/ 50 sec = 9sec
Question: The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 13 years and that of the other 9 students is 16 years, The age of the 15th student is
A.11
B.16
C.13
D.14
Answer: B.16
Explanation: Explanation:
Age of the 15th student = [15 * 15 - (13 * 5 + 16 * 9)] = 16 years. Answer: B
Question: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 110 miles per hour, while the slower train travels at 100 miles per hour. At 1 o’clock the faster train is 40 miles behind the slower one. How far apart are the two trains at 7 o'clock?
A.20 miles
B.80 miles
C.90 miles
D.120 miles
Answer: A.20 miles
Explanation: Answer = A. 20 miles
Relational speed = 110 - 100 = 10 miles per hour
In 6 hours, difference = 10 * 6 = 60 miles
Fast train trailing 40 miles, so effective difference = 60 - 40 = 20 miles
Question: A man can do a piece of work in 5days, but with the help of his son, he can finish it in 3days. In what time can the son do it alone?
A.5
B.5 1/2
C.7 1/2
D.6
Answer: C.7 1/2
Explanation: Son's 1day work = 1/3 - 1/5 = 2/15
Son alone can do the work in 15/2days = 7 1/2 days
Answer is C
Question: The Natural Woman, a women's health food store, offers its own blends of trail mix. If the store uses 3 different ingredients, how many bins will it need to hold every possible blend, assuming that each blend must have at least two ingredients? (Also assume that each bin can hold one and only one blend.)
A. 1
B. 4
C. 7
D. 11
Answer: B. 4
Explanation: We're told that there are 3 ingredients (we'll call them A, B, C ); we're told that each 'mix' must include AT LEAST 2 ingredients...
2 ingredient blends:
AB
AC
BC
3 ingredient blends:
ABC
Total blends = 3+1= 4
B
Question: The largest natural number which exactly divides the product of any four consecutive natural numbers is:
A.6
B.12
C.24
D.120
Answer: C.24
Explanation: Required number= 1*2*3*4=24
Answer: C
Question: A man spends Rs. 1500 per month on an average for the first three months, Rs 1550 for next four months and Rs. 1800 per month for the last five months and saves Rs . 5200 a year. What is his average monthly income?
A.2075
B.2100
C.2200
D.2300
Answer: A.2075
Explanation: Explanation:
Total expenditure for the first 3 months = 3 Ã— 1500 = 4500
Total expenditure for 4 months = 4 Ã— 1550 = 6200
Total expenditure for 5 months = 5 Ã— 1800 = 9000
Total expenditure and saving (which is income for one year)
= 4500 + 6200 + 9000 + 5200 = Rs. 24900
So, Average monthly income = 24900/12 = Rs. 2075
Answer A
Question: A thief runs away from A with a speed of 20 km/hr. A police from a station 60 km away started chasing him after 1 hr. with a speed of 40 km/hr. Time taken by the police to catch the thief is :
A.4 hrs
B.4.5 hrs
C.5.4 hrs
D.6 hrs.
Answer: A.4 hrs
Explanation: Explanation :
Solution: Distance traveled by the thief in 1 hr. = 20 km.
Total distance of them after 1 hr = (60 + 20) km = 80 km.
Their relative speed = (40 - 20) = 20 km/hr.
Time taken to catch the thief = 80/20 = 4 hrs.
Answer : A
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
A.3630
B.3631
C.3639
D.3637
Answer: A.3630
Explanation: 6300:4200:10500
3:2:5
3/10 * 12100 = 3630
Answer:A
Question: 15 times a number gives 150. The number is
A.11
B.15
C.13
D.14
Answer: B.15
Explanation: Explanation:
Let the number be 'N'
15×N=150⇒N=10
Correct Option: B