RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A can do a work in 14 days and working together A and B can do the same work in 10 days. In what time can B alone do the work?
A.25 days
B.30 days
C.23 days
D.35 days
Answer: D.35 days
Explanation: Work done by B in 1 day = 1/10 - 1/14
= (7-5)/70
= 1/35
So, B alone can do the work in 35 days.
ANSWER:D
Question: Machine A working alone can complete a job in 12 hours. Machine A+B working alone can do the same job in 15 hours. How long will it take machine B working at their respective constant rates to complete the job?
A.80
B.70
C.60
D.50
Answer: C.60
Explanation: Machines ( A ) ( B ) (A+B)
---Time - 12 - ( - ) -(15)
---Rate 5 --- 1 -- 4
--Work 60 --60 - 60
A+B = (60/1) = 60
C
Question: Kim finds a 3-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and removes one piece of every distinct length. What fraction of the original branch remains?
A.2/5
B.3/5
C.8/15
D.1/2
Answer: B.3/5
Explanation: 3 pieces of 1/5 length and two piece each of 1/15 and 2/15 lengths. removing one piece each from pieces of each kind of lengths the all that will remain will be
2 pieces of 1/5 i.e 2/5, 1 piece of 1/15, and 1 piece of 2/15
Which gives us 2/5 + 1/15 + 2/15 -----> 3/5
Answer is B
Question: Of the votes cast on a certain proposal, 62 more were in favor of the proposal than were against it. If the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast? (Each vote cast was either in favor of the proposal or against it.)
A.280
B.290
C.300
D.310
Answer: D.310
Explanation: Let x be the total number of votes cast.
0.6x = 0.4x + 62
0.2x = 62
x = 310
The answer is D.
Question: If [Y] denotes the least integer greater than or equal to Y and [Y] = 0, which of the following statements must be true?
A.Y = 0
B.0 <= Y < 1
C.0 < Y <= 1
D.-1 < Y <= 0
Answer: D.-1 < Y <= 0
Explanation: The answer for this is 0 < = Y< = 1
However it is not available in the options. The match to the above is-1 < Y <= 0
Answer = D
Question: X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.27000. What will be the ratio in which they should share the profit at the end of the year?
A.20:9
B.2:1
C.3:2
D.2:3
Answer: A.20:9
Explanation: Ratio in which they should share the profit
= Ratio of the investments multiplied by the time period
=45000×12:27000×9
=45×12:27×9
=15×12:9×9
=20:9
Answer is A
Question: An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 28 metre of cloth ?
A.175 seconds
B.219 seconds
C.155 seconds
D.115 seconds
Answer: B.219 seconds
Explanation: Explanation:
Let the time required by x seconds.
Then, More cloth means More time (Direct Proportion)
So,
0.128 : 1 :: 28 : x => x = {\color{Blue} \frac{28\times 1}{0.128}}
=> x = 218.75
So time will be approx 219 seconds
Answer: B
Question: The value of x + x(x^x) when x = 5 is
A.15630
B.14000
C.15400
D.15560
Answer: A.15630
Explanation: Solution:
x + x(x^x)
Put the value of x = 5 in the above expression we get,
5 + 5(5^5)
= 5 + 5(5 Ã— 5 x 5 x 5 x 5 )
= 5 + 2(3125)
= 5 + 15625
= 15630
Answer: (a)
Question: Find the missing number in the given sequence : 1,5,9,13,?,21,25,?
A.14 & 26
B.15 & 27
C.16 & 28
D.17 & 29
Answer: D.17 & 29
Explanation: 1+4=5
5+4=9
9+4=13
13+4=17
17+4=21
21+4=25
25+4=29
ANSWER:D
Question: An empty wooden vessel weighs 20% of its total weight when filled with paint. If the weight of a partially filled vessel is one half that of a completely filled vessel, what fraction of the vessel is filled.
A.3/5
B.5/9
C.9/19
D.4/9
Answer: C.9/19
Explanation: An empty wooden vessel weighs 20% of its total weight when filled with paint:
Vessel = 0.2(Vessel + Paint);
20V = V + P (so the weight of completely filled vessel is 10V)
P = 19V (so the weight of the paint when the vessels is completely filled is 9V).
The weight of a partially filled vessel is one half that of a completely filled vessel:
V + P' = 1/2*20V;
P' = 9V (so the weight of the paint when the vessels is partially filled is 9V).
What fraction of the vessel is filled?
So, we need to find the ratio of the weight of the paint when the vessel iscompletely filledto the weight of the paint when the vessel ispartially filled:
P'/P = 9V/19V = 9/19.
Answer: C.
Question: A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
A.3.6
B.7.2
C.8.4
D.10
Answer: B.7.2
Explanation: Explanation:
Speed =	(600 / 5 X60)m/sec =2 m/sec.
Converting m/sec to km/hr = (2 X 18/5)km/hr
= 7.2 km/hr.
ANSWER IS B
Question: The average of first five prime numbers greater than 10 is?
A.16.6
B.12.9
C.31.3
D.19.2
Answer: A.16.6
Explanation: 11 + 13 + 17 + 19 + 23 = 83/5 = 16.6
Answer: A
Question: If the cost of x meters of wire is d rupees, then what is the cost of y meters of wire at the same rate?
A.Rs.(xy/d)
B.Rs.(xd)
C.Rs.(yd)
D.Rs.(yd/x)
Answer: D.Rs.(yd/x)
Explanation: Cost of x metres = Rs. d.
Cost of 1 metre = Rs.	d/x
Cost of y metres = Rs.((d/x)y)
= Rs.(yd/x)
Correct answer is D
Question: How much pure alcohol should be added to 400ml of a 15% solution to make the strength of solution 26%?
A.100 ml
B.60 ml
C.120 ml
D.130 ml
Answer: D.130 ml
Explanation: we can also go by answer choices
Tke 100 ml for eg
400 (old)+100 (new concentr)ml
500*26/100 = 130 ml (30ml is de old concentration +100 ml (newly added)
Answer D
Question: A room of 6m 00cm long and 8m 00cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor.
A.12
B.200
C.600
D.800
Answer: A.12
Explanation: Explanation:
area of the room = 600 * 800 sq cm
size of largest square tile = H.C.F of 600cm and 800cm= 200cm
area of 1 tile = 200*200 sq cm
no. of tiles required = (600*800) / (200 *200) = 12
Answer: A) 12
Question: A 21% stock yielding 10% is quoted at :
A.83.33
B.210
C.112
D.120
Answer: B.210
Explanation: Solution
To earn Rs. 10, money invested = Rs. 100.
To earn Rs. 21, money invested = Rs.(100/10X21) = Rs. 210.
âˆ´ Market value of Rs. 100 stock =Rs. 210
Answer B
Question: Five years ago, the ratio of ages of P and Q was 3:2. Ten years from now, the ratio of their ages will be 6:5. What is P's age at present?
A.20
B.25
C.30
D.35
Answer: A.20
Explanation: 2(P-5)/3 = (Q-5). Then Q = 2(P-5)/3 + 5
5(P+10)/6 = Q+10
5(P+10)/6 = 2(P-5)/3 +15
5P+50 = 4P + 70
P = 20
The answer is A.
Question: Two persons start running simultaneously around a circular track of length 500 m from the same point at speeds of 16 kmph and 20 kmph. When will they meet for the first time any where on the track if they
are moving in the opposite direction ?
A.144
B.36
C.50
D.32
Answer: C.50
Explanation: Time taken to meet the first time = length of track/relative speed
= 500/ (16+20) (5/18)
= 500/36 *(18/5) = 50 sec.
Answer : C
Question: If a < b < c , which of the following must be true?
(I) a > b^2
(II) b − a < c
(III) a^2 < b^2 < c^2
A.I only
B.None
C.II only
D.III only
Answer: B.None
Explanation: (I) a < b^2. Not necessarily true fractions: try a=1 and b=2.
(II) b − a < c. Not necessarily true: try a=-1, b=0, and c=1.
(III) a^2 < b^2 < c^2. Not necessarily true: try a=-1, b=0, and c=1.
None of the options must be true.
Answer: B.
Question: If TIER is written as 7168 and BRAIN is written as 28415, how is RENT coded ?
A.3653
B.8657
C.2977
D.2790
Answer: B.8657
Explanation: Explanation:
Given :
Letter : T I E R B A N
Code : 7 1 6 8 2 4 5
Thus, the code for RENT is 8657.
ANSWER:B
Question: A person want to give his money of $4500 to his 4 children A,B,C,D in the ratio 2:4:5:4. What is the A+B share?
A.$1000
B.$2000
C.$1800
D.$1500
Answer: C.$1800
Explanation: A's share = 4500*2/15 = $600
B's share = 4500*4/15 = $1200
A+B = $1800
Answer is C
Question: 3,5,9,15,23,33,__
A.45
B.55
C.65
D.34
Answer: A.45
Explanation: 5=3+2
9=5+4
15=9+6
23=15=8
33=23+10
Similarly 33+12=45
ANSWER:A
Question: At a meeting of 9 Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the Chiefs of Staff be seated around a circular table?
A.24,640
B.27,820
C.30,240
D.33,120
Answer: C.30,240
Explanation: 9 people can be arranged around a table in 8! ways.
Consider the two chiefs who will not sit together as a single unit.
The number of ways to arrange 8 units around a table is 7!
We need to multiply this by 2 as the two people can be switched in each arrangement.
The total number of ways to arrange the chiefs is 8! - 2*7! = 6*7! = 30,240
The answer is C.
Question: A student worked for 20 days. For each of the amounts shown in the first row of the table, the second row gives the number of days that the student earned that amount. What is the total amount of money that the student earned for the 20 days?
Amounts earned per day : $96 $84 $80 $70 $48
Number of days : 4 7 4 3 2
A.(1) $120
B.(2) $320
C.(3) $378
D.(4) $240
Answer: C.(3) $378
Explanation: 4+7+4+3+2 = 20
The series is as follows. Arrange the terms in increasing order of amounts earned and cumulatively add up the number of days of each amount.
1st to 2nd term = 48 (2 days)
3rd to 5th term = 70 (3 days)
6th to 9th term = 80 (4 days)
10th to 16th term = 84 (7 days)
17th to 20th term = 96 (4 days)
total amount earned = 48+70+80+84+96
= 378
Pick C
Question: Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them?
A.42 and 33
B.42, 36
C.44, 33
D.44, 36
Answer: A.42 and 33
Explanation: Explanation :
Let the marks secured by them be x and (x + 9)
Then sum of their marks = x + (x + 9) = 2x + 9
Given that (x + 9) was 56% of the sum of their marks
=> (x + 9) = (56/100)(2x + 9)
=> (x + 9) = (14/25)(2x + 9)
=> 25x + 225 = 28x + 126
=> 3x = 99
=> x = 33
Then (x + 9) = 33 + 9 = 42
Hence their marks are 33 and 42
Answer : Option A
Question: The digit in unit's place of the product (459 ×46×28×484) is 2, the digit in place of * is
A.3
B.5
C.7
D.9
Answer: C.7
Explanation: Solution
(9×6×4)	= 216.
In order to obtain 2 at the unit place, we must multiply 216 by 2 or 7.
Answer C
Question: A cricket bat is sold for $850, making a profit of $205. The profit percentage would be
A.24%
B.25%
C.32%
D.36%
Answer: C.32%
Explanation: 205/(850 - 205) = 205/645 = 41/129=32%.
Answer: C.
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 300 m and they cross each other in 12 sec, then the speed of each train is?
A.78
B.90
C.36
D.34
Answer: B.90
Explanation: Let the speed of each train be x m/sec.
Then, relative speed of the two trains = 2x m/sec.
So, 2x = (300 + 300)/12 => x = 25
Speed of each train = 25 m/sec.
= 25 * 18/5 =90 km/hr.
Answer: Option B
Question: The sum an integer N and its reciprocal is equal to 78/15. What is the value of N?
A.5
B.10
C.15
D.20
Answer: A.5
Explanation: Write equation in N as follows
N + 1/N = 78/15
Multiply all terms by N, obtain a quadratic equation and solve to obtain N = 5.
correct answer A
Question: Which of the following no must added to 5678 to give a remainder of 35 when divided by 460?
A.955
B.797
C.618
D.980
Answer: B.797
Explanation: To get a remainder of 35 while dividing by 460 , the number should have 5 at the unit digit. 5678 ends with 8. so amongst the options the number which when added with 5678 gives 5 at the unit place will be the ans. Here 797+5678=6475 , so (b) is the correct option.
ANSWER:B
Question: A diagonal of a polygon is an segment between two non-adjacent vertices of the polygon. How many diagonals does a regular 45-sided polygon have?
A. 875
B. 945
C. 1425
D. 2025
Answer: B. 945
Explanation: There's a direct formula for this.
Number of diagonals in a regular polygon = [n*(n-3)] / 2, n = number of sides of the regular polygon.
Here, n = 45.
Plugging it in, we get 945 diagonals!
Answer (B).
Question: A shipment of 8 TV sets contains 3 black and white sets and 5 color sets. If 2 TV sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black and white set?
A.1/7
B.1/4
C.9/14
D.11/28
Answer: C.9/14
Explanation: 5/8 * 4/7 = 20/56
1-(20/56) = 36/56 = 9/14
Answer C
Question: In a three digit number, the hundred digit is 2 more than the tens digit and the units digit is 2 less than the tens digit. If the sum of the digits is 30, find the number?
A.11201
B.12102
C.12081
D.12108
Answer: D.12108
Explanation: D
12108
Let the three digit numbers be 100a + 10b + c
a = b + 2
c = b - 2
a + b + c = 3b = 30 => b = 10
So a = 12 and b = 8
Hence the three digit number is: 12108
Question: Tough and Tricky questions: Statistics.
Set X consists of prime numbers {3, 11, 7, F, 17, 19}. If integer Y represents the product of all elements in set X and if 11Y is an even number, what is the range of set X?
A. 14
B. 16
C. 17
D. 20
Answer: C. 17
Explanation: Since 11Y = Even therefore Y has to beEVENsince 11 is a odd integer (Even * Odd = Even)
Similarly, Y is the product of all integers in set X But all integers in Set X are odd except the unknown F and since X contains only prime numbers, F has to equal to 2... ( 2 is the only even prime number and the product of all prime numbers in set X has to be Even, Even * Odd = Even)
Since you know value of F you can calculate the range = Largest integer in the set minus Smallest integer in the set = 19-2 =17
Answer is C
Question: Dylan is on a road trip. He planned on arriving at his destination, 2150 miles away, in 6 days. In the first day, he traveled 310 miles. In the next three days, he travels 1140 miles. How many miles, on average, does Dylan need to travel in the next two days to reach his destination?
A.330
B.340
C.350
D.360
Answer: D.360
Explanation: He still has to travel 2150 - 300 - 1130 = 720 miles
720 miles / 2 days = 360 miles per day.
Correct answer D
Question: man is 36 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
A.14years
B.26 years
C.17 years
D.34 years
Answer: D.34 years
Explanation: Let the son's present age be x years. Then, man's present age = (x + 20) years.
(x + 36) + 2 = 2(x + 2)
x + 38 = 2x + 4
x = 34.
answer :D
Question: If n is a positive integer and n^2 is divisible by 212, then the largest positive integer that must divide n is
A.6
B.12
C.24
D.36
Answer: D.36
Explanation: The question asks aboutthe largest positive integer that MUST divide n, not COULD divide n. Since the least value of n for which n^2 is a multiple of 72 is 12 then the largest positive integer that MUST divide n is 12.
Complete solution of this question is given above. Please ask if anything remains unclear.
I spent a few hours on this one alone and I'm still not clear. I chose 12 at first, but then changed to 48.
I'm not a native speaker, so here is how I interpreted this question:the largest positive integer that must divide n=the largest positive factor of n. Since n is a variable (i.e. n is moving), so is its largest factor. Please correct if I'm wrong here.
I know that if n = 12, n^2 = 144 = 2 * 72 (satisfy the condition). When n = 12, the largest factor of n is n itself, which is 12. Check: 12 is the largest positive number that must divide 12 --> true
However if n = 48, n^2 = 48 * 48 = 32 * 72 (satisfy the condition too). When n = 48, the largest factor of n is n itself, which is 48. Check: 48 is the largest positive number that must divide 48 --> true
So, I also notice that the keyword isMUST, notCOULD. The question is, why is 48 notMUST divide 48, but instead onlyCOULD divide 48? I'm not clear right here. Why is 12MUST divide 12? What's the difference between them?
Only restriction we have on positive integer n is that n^2 is divisible by 72. The least value of n for which n^2 is divisible by 72 is 12, thus nmustbe divisible by 12 (n is in any case divisible by 12). For all other values of n, for which n^2 is divisible by 72, n will still be divisible by 12. This means that n is always divisible by 12 if n^2 is divisible by 72.
Now, ask yourself: if n=36, is n divisible by 48? No. So, n is not always divisible by 48.
D
Question: Find the average of the series : 212, 152, 142, 132 and 112?
A.129
B.150
C.267
D.207
Answer: B.150
Explanation: Average = (212+152+142+132+112)/5
= 750/5
= 150
Answer: B
Question: There are two numbers. If 20% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number?
A.5/4
B.5/7
C.5/3
D.5/8
Answer: A.5/4
Explanation: Let the two numbers be x and y.
20/100 * x + y = 5/4y
=> 1/5 x = 1/4 y => x/y
= 5/4
Answer: A
Question: 7.51 8.22 7.86 8.36
8.09 7.83 8.30 8.01
7.73 8.25 7.96 8.53
A vending machine is designed to dispense 8 ounces of coffee into a cup. After a test that recorded the number of ounces of coffee in each of 1000 cups dispensed by the vending machine, the 12 listed amounts, in ounces, were selected from the data above. If the 1000 recorded amounts have a mean of 8.1 ounces and a standard deviation of 0.2 ounces, how many of the 12 listed amounts are within 1.5 standard deviation of the mean?
A.Four
B.Six
C.Nine
D.Ten
Answer: C.Nine
Explanation: Mean = 8.1
Standard Deviation = 0.2
within 1.5 standard deviation of the mean
i.e. 1.5 standard deviation ABOVE the mean = 8.1+1.5*0.2 = 8.4
and 1.5 standard deviation BELOW the mean = 8.1-1.5*0.2 = 7.8
hence, 9 values fall within 1.5 SD from Mean
Answer: Option C
Question: The speeds of 3 cars in the ratio 2:3:4. The ratio between time taken by them to travel the same distance is?
A.2:3:4
B.6:4:3
C.8:7:5
D.11:12:15
Answer: B.6:4:3
Explanation: Ratio of time taken is = 1/2 : 1/3 : 1/4 = 6:4:3
Answer is B
Question: A train 100 meters long completely crosses a 350-meter long bridge in 40 seconds. What is the speed of the train in km/h?
A.37.5 km/h
B.40.5 km/h
C.43.5 km/h
D.46.5 km/h
Answer: B.40.5 km/h
Explanation: speed = distance / time = (100 + 350)/40 = 450/40 (m/s) * 3600/1000 = 40.5 km/h
The answer is B.
Question: Rohan ranked eleventh from the top and twenty-seventh from the bottom among the students who passed the annual examination in a class. If the number of students who failed in the examination was 12, how many students appeared for the examination?
A.48
B.49
C.50
D.Cannot be determined
Answer: B.49
Explanation: here .. from top its 11th and from bottom its 27th that means at top 10 members are there and bottom 26 members are there so 26+10+1=37. 37 memebers are passed, in above question 12 members are failed in examination so therefore 37+12=49.
ANSWER:B
Question: If -13 < 7a + 1 < 29 and 19 < 2 - b < 23, what is the maximum possible integer value of a + b?
A.-23
B.-18
C.-14
D.-13
Answer: C.-14
Explanation: -13 < 7a + 1 < 29 and 19 < 2 - b < 23
-14 < 7a < 28 and 17 < - b < 21
-2 < a < 4 and -17 > b > -21
Max(a+b ) <4+(-17)
Max(a+b ) <(-13)
Max(a+b ) = -14
Answer: Option C
Question: In a weight-lifting competition, the total weight of Joe's two lifts was 600 pounds. If twice the weight of his first lift was 300 pounds more than the weight of his second lift, what was the weight, in pounds, of his first lift?
A.225
B.275
C.300
D.350
Answer: C.300
Explanation: This problem is a general word translation. We first define variables and then set up equations.
We can define the following variables:
F = the weight of the first lift
S = the weight of the second lift
We are given that the total weight of Joe's two lifts was 600 pounds. We sum the two variables to obtain:
F + S = 600
We are also given that twice the weight of his first lift was 300 pounds more than the weight of his second lift. We express this as:
2F = 300 + S
2F – 300 = S
We can now plug in (2F – 300) for S into the first equation, so we have:
F + 2F – 300 = 600
3F = 900
F = 300
Answer is C
Question: According to the directions on a packet of smoothie mix, 1 3-ounce packet of smoothie mix is to be combined with 12 ounces of water to make a smoothie. How many 2-ounce packets of smoothie mix are required to prepare 150 12-ounce smoothies?
A. 120
B. 150
C. 180
D. 240
Answer: C. 180
Explanation: This question wasn't particularly grueling, but I think it's the first where I had the opportunity to solve it via theory andinspectionthat many on this board suggest as strategy on the GMAT. It actually came to me by accident. Basically, if we thought that the 3 packets of powder were included in the 12 ounces of water, that would mean we would need 150 packets of smoothie mix (along with 12(150) ounces of water for a total of 150 packets. However, we know, after a more careful reading of the stimulus, that the 3 ounces are NOT included in the 12 ounces. As such, the answer has to be LESS than 150 packets, since 150 would be too much powder considering you already have 150(12) ounces of water and need less packets than water to make a smoothie. As such, the only answer less than 150 is 120, A. Does this make sense? Or am I way off base?
C
Question: If 5^10 x 2^10 = 10^n what is the value of n?
A.16
B.14
C.12
D.10
Answer: D.10
Explanation: 5^10*2^10 = 10^n
or 10^10 =10^n
n=10
D
Question: Pipe A can fill a tank in 7 hours, pipe B in 14 hours and pipe C in 42 hours. If all the pipes are open,in how many hours will the tank be filled ?
A.4
B.4.2
C.4.5
D.4.3
Answer: B.4.2
Explanation: 1/7+1/14+1/42=10/42=1/4.2. so 4.2 hrs
ANSWER:B
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
A.288
B.190
C.188
D.188
Answer: B.190
Explanation: L = S*T
S= 1200/120
S= 10 m/Sec.
Total length (D)= 1900 m
T = D/S
T = 1900/10
T = 190 Sec
Answer:B
Question: An integer n between 1 and 99, inclusive, is to be chosen at random. What is the probability that n(n+1) will be divisible by 3 ?
A.1/9
B.1/3
C.1/2
D.2/3
Answer: D.2/3
Explanation: n(n+1) to be divisible by 3 either n or n+1 must be a multiples of 3.
In each following group of numbers: {1, 2, 3}, {4, 5, 6}, {7, 8, 9}, ..., {97, 98, 99} there are EXACTLY 2 numbers out of 3 satisfying the above condition. For example in {1, 2, 3} n can be: 2, or 3. Thus, the overall probability is 2/3.
Answer: D.
Question: The wheels revolve round a common horizontal axis. They make 15, 20 and 48 revolutions in a minute respectively. Starting with a certain point on the circumference down wards. After what interval of time will they come together in the same position?
A.1 min
B.2 min
C.3 min
D.4 min
Answer: A.1 min
Explanation: Time for one revolution = 60/15 = 4
60/ 20 = 3
60/48 = 5/4
LCM of 4, 3, 5/4
LCM of Numerators/HCF of Denominators = 60/1 = 60
ANSWER:A
Question: The HCF and LCM of two numbers m and n are respectively 6 and 210. If m + n = 60, then 1/m + 1/n is equal to
A.1/35
B.3/35
C.1/21
D.2/35
Answer: C.1/21
Explanation: Answer
We have, m x n = 6 x 210 = 1260
âˆ´ 1/m + 1/n = (m + n)/mn = 60/1260 = 1/21
Correct Option: C
Question: On what dates of April, 2001 did Wednesday fall?
A.2nd, 9th, 16th, 23rd
B.4th, 11th, 18th, 25th
C.3rd, 10th, 17th, 24th
D.1st, 8th, 15th, 22nd, 29th
Answer: B.4th, 11th, 18th, 25th
Explanation: Explanation :
We need to find out the day of 01-Apr-2001
01-Apr-2001 = (2000 years + period from 1-Jan-2001 to 01-Apr-2001)
We know that number of odd days in 400 years = 0
Hence the number of odd days in 2000 years = 0 (Since 2000 is a perfect multiple of 400)
Days from 1-Jan-2001 to 01-Apr-2001 = 31 (Jan) + 28 (Feb) + 31 (Mar) + 1(Apr) = 91
91 days = 13 weeks = 0 odd day
Total number of odd days = (0 + 0) = 0 odd days
0 odd day = Sunday. Hence 01-Apr-2001 is Sunday.
Hence first Wednesday of Apr 2011 comes in 04th and successive Wednesdays
come in 11th, 18th and 25th
Answer : Option B
Question: The sticks of same length are used to form a triangle as shown below.If 87 such sticks are used then how many triangles can be formed?
A.43
B.44
C.45
D.465
Answer: A.43
Explanation: First triangle is formed by using 3 sticks, but any subsequent triangle may be formed by using 2 sticks. Therefore, If 1st triangles uses 3 sticks, Remaining sticks = 87 - 3 = 84. With these 84, we can form 42 triangles. So total = 42 + 1 = 43
Answer:A