RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: If X and Y are sets of integers, X # Y denotes the set of integers that belong to set X or set Y, but not both. If X consists of 12 integers, Y consists of 18 integers, and 6 of the integers are in both X and Y, then X # Y consists of how many integers?
A.6
B.16
C.18
D.30
Answer: C.18
Explanation: The number of integers that belong to set X ONLY is 12-6=6;
The number of integers that belong to set Y ONLY is 18-6=12;
The number of integers that belong to set X or set Y, but not both is 6+12=18.
Answer: C.
Question: If x is the median of the set {x, 11/3, 28/9, 21/5, 9/2}, x could be
A.16/5
B.17/5
C.30/7
D.4
Answer: D.4
Explanation: The median is the middle number once all the numbers are arranged in increasing/decreasing order.
We see that
11/3 = 3.something,
28/9 = 3.something
21/5 = 4.something
9/2 = 4.something
So x should greater than the smallest two numbers and smaller than the greatest two numbers. We can see that x = 4 is possible. (First look at the simplest option or the middle option since options are usually arranged in increasing/decreasing order)
Answer (D)
Question: If e>0.9, which of the following options can be the value of e?
A.0.9^2
B.√(0.9)
C.0.09
D.0.9
Answer: B.√(0.9)
Explanation: Lets take a few examples
When .2 is squared it gives .04
when .5 is squared it gives .25
When .9 is squared it gives .81
So raising a fraction to its power of 2 or 3 only reduces the value of the fraction
This is because
.2 = 2/10
.2^2= 4/100
.2^3=8/1000
Since the denominator gets an extra 0 each time u increase the power , it is going to drag the value down
But if you just think about the opposite case :
Then we can see , if squaring a fraction diminish its value, then taking the square root of it will again increase its value
that is √(0.04) will give you back 0.2
so √(0.04) > 0.04
so obviously diminishing the power will appreciate the value
So e √(0.9) > 0.9
Hence Correct Answer is (B)
Question: A man sells an article at 10% gain. Had be sold at for Rs.60/- more he could have gained 20% what is cost price of article
A.Rs.500
B.Rs.600
C.Rs.650
D.Rs.760
Answer: B.Rs.600
Explanation: First selling price = 110 % -----> X Rupees
=sold at for Rs.60/- = 120 % -----> X + 60 Rupees
~
----------------------------------------------
10 % --------> 60
100 % ------->Rs.600/-
Option 'B'
Question: An article is bought for Rs.600 and sold for Rs.550, find the loss percent?
A.8 1/3%
B.16 1/3%
C.19 2/3%
D.16 2/3%
Answer: A.8 1/3%
Explanation: 600 ---- 50
100 ---- ? => 8 1/3%
Answer: A
Question: The product of two numbers is 4107. If the H.C.F of these numbers is 37, then the greater number is?
A.377
B.126
C.111
D.727
Answer: C.111
Explanation: Let the numbers be 37a and 37b.
Then, 37a * 37 b = 4107 => ab = 3
Now, co-primes with product 3 are (1, 3).
So, the required numbers are (37 * 1, 37 * 3) i.e., (1, 111).
Greater number = 111.
Answer:C
Question: Tom and Jerry are running on the same road towards each other. If Tom is running at a speed of 2.5 meters per second and Jerry is running 36% slower, how much time E will it take them to meet if the initial distance between the two is 50 meters and Tom started running 20 seconds before Jerry did?
A.2 minute and 12 seconds.
B.two minutes.
C.44 seconds.
D.20 seconds.
Answer: D.20 seconds.
Explanation: Tom is running alone for 20 seconds.
So he will cover a distance of 20*2.5 = 50 m in 20 seconds=E
Basically, Jerry has not started yet , and Tom has covered the distance alone and met Jerry on the other side
D is the answer
Question: Venki takes a trip and drives 5 hours from Town X to Town Z at a rate of 80 miles per hour. On her way back, Venki drives 45 miles per hour and stops in Town Y which is midway between Town X and Town Z. How many hours does it take Venki to drive from Town Z to Town Y?
A.1.01
B.4.44
C.11.5
D.1.75
Answer: B.4.44
Explanation: distance from X to Z =5 hr* 80 mph= 400 miles
hence distance from Y to Z= 1/2*400=200
time=200/45=4.44 hrs
IMO: B
Question: A Raz's company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996?
A. 1:2
B. 4:5
C. 1:1
D. 3:2
Answer: A. 1:2
Explanation: A Raz's company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996. 1996- x----- y------- x+y
1997- x1---- y1-- x1+y1
x1= a*x .....(P)
y1= 1.07*y...(Q)
x1+y1/x+y = 1.01
solve using P and Q and find x/y
Question: When positive integer F is divided by positive integer B, the result is 4.35. Which of the following could be the reminder when F is divided by B?
A. 13
B. 14
C. 15
D. 16
Answer: B. 14
Explanation: the remainder will be obtained from the decimal part when F is divided by B i.e. 0.35
0.35 = 35/100 = 7/20 so possible remainders are 7,14,21,28. Only option B-14 satisfies this
PS: for B-14 F=174 and B=40
Question: How many three digit numbers C greater than 330 can be formed from the digits 1, 2, 3, 4, 5 and 6, if each digit can only be used once?
A.72
B.48
C.120
D.96
Answer: A.72
Explanation: Find the number of 3 digit numbers greater than 300, and then subtract from them the number of three digit numbers between 300 and 330 formed with the given 6 digits.
ABC three digit numbers greater than 300 - total of 4*5*4=80, because a must be greater than 2, so 4 possibilities left; B 5 remaining, and C 4 remaining possibilities to choose from.
Between 300 and 330 there are 1*2*4=8 numbers with the given property: A = 3, 1 possibility; B can be only 1 or 2 (ABC < 330), so two possibilities; C the remaining 4 possibilities after choosing A and B.
Total possible choice 80 - 8 =72=C
Answer: A.
Question: In a group of donkeys and pigs, the numbers of legs are 16 more than twice the number of heads. The number of donkeys is
A.6
B.8
C.11
D.12
Answer: B.8
Explanation: Let the number of donkeys be x and the number of pigs be y. Then,
4x + 2y = 2(x + y) = 16 or 2x + (2x + 2y) = (2x + 2y) +16
or 2x = 16 or x = 8.
ANSWER:B
Question: An express A starts at 2.30 pm from nampali station and travels towards vizag station at speed of 80 kmph. Another expressstarts at 4.30 pmfrom nampali station to vizag station at speed of 100 kmph. How far awayfrom station Nampali will the two trains meet??
A.600 km
B.700 km
C.750 km
D.800 km
Answer: D.800 km
Explanation: Let train A take x hours to reach the point of meeting(let it be P)
Then train B will reach the same point in x-2 hours.
Distance covered to reach P by train A in x hours=Distance covered by B to reach P in x-2 hrs.
80*x=100(x-2)
80x=100x-200
x=10 hrs.
Distance from Nampali=x*speed of train A
=10*80
=800 km
ANSWER:D
Question: If the number 517 * 324 is completely divisible by 3, then the smallest whole number in the place of * will be:
A.0
B.1
C.2
D.3
Answer: B.1
Explanation: (5+1+7+A+3+2+4)=(22+A)MUST BE DIVISIBLE BY 3.
HENCE THE SMALLEST WHOLE No. must be 2
ANSWER:B
Question: Letters of the word DIRECTOR are arranged in such a way that all the vowels come together. Find out the total number of ways for making such arrangement.
A.4320
B.2720
C.2160
D.1120
Answer: C.2160
Explanation: Taking all vowels (IEO) as a single letter (since they come together) there are six letters
Hence no. of arrangements = 6!⁄2! × 3! = 2160
[Three vowels can be arranged 3! ways among themselves, hence multiplied with 3!.]
Answer C
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 150 m and they cross each other in 12 sec, then the speed of each train is?
A.30
B.35
C.45
D.37
Answer: C.45
Explanation: Let the speed of each train be x m/sec.
Then, relative speed of the two trains = 2x m/sec.
So, 2x = (150 + 150)/12 => x = 12.5
Speed of each train = 10 m/sec.
= 12.5 * 18/5 = 45 km/hr.
Answer: Option C
Question: Amber works 15 days a month at d dollars per day for m months out of the year. Which of the following represents her monthly pay?
A.15d
B.20dm
C.10md/6
D.20d/m
Answer: A.15d
Explanation: ANSWER: A The passage states that she works 15 days a month at d dollars per day, so 15 d is her monthly pay
Question: 2 friends A and B running up hill and then to get down length of road-440 yads A on his return journey met B going up at 20 yards from top if A has finished race 5 minute earlier than B then how much time A had taken to complete the race?
A.100 minute
B.110 minute
C.120 minute
D.130 minute
Answer: B.110 minute
Explanation: total journey= 440*2=880
A meet B 20 yards from top in getting down it means he has covered 440+20=460 yards while B is 420 yards.so he is 40 yards ahead of B which is equals to 5 minute.
so 40 yards in 5 min
880 yards will be in 5*880/(40)=110 minute
ANSWER:B
Question: The banker's discount of a certain sum of money is Rs. 36 and the true discount on the same sum for the same time is Rs. 30. What is the sum due?
A.Rs. 180
B.Rs. 120
C.Rs. 220
D.Rs. 200
Answer: A.Rs. 180
Explanation: F = (BD ×TD)/(BD – TD)=(36×30)/(36–30)=36×30/6=36×5
= Rs. 180
ANSWER:A
Question: The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate percent. Find the rate and the time?
A.6 2/3%
B.6 2/9%
C.6 3/3%
D.9 2/3%
Answer: A.6 2/3%
Explanation: 4/9 P = (P*R*R)/100
R = 20/3 = 6 2/3%
Answer: A
Question: A reduction of 20% in the price of salt enables a lady to obtain 2 kgs more for Rs.100, find the original price per kg?
A.12.6
B.12.1
C.12.5
D.12.4
Answer: C.12.5
Explanation: 100*(20/100) = 20 --- 2
? --- 1 => Rs.10
100 --- 80
? --- 10 => Rs.12.5
Answer: C
Question: The value of (0.2×0.2+0.01) (0.1×0.1+0.02)-1 is equal to
A.5/3
B.9/5
C.41/4
D.41/12
Answer: A.5/3
Explanation: Solution
Given expression	(0.2×0.2+0.01)/ (0.1×0.1×+0.02)
= 0.04+0.01/0.01+0.02
= 0.05 / 0.03
= 5 / 3.
Answer A
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions.
A.670
B.704
C.677
D.655
Answer: B.704
Explanation: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 500 resolutions.
= 500 * 2 * 22/7 * 22.4 = 70400 cm = 704 m
Answer: Option B
Question: Rs.160 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins?
A.388
B.266
C.120
D.299
Answer: C.120
Explanation: 4x 5x 6x
100 50 25
400x + 350x + 150x = 16000
x = 20
6x = 120
Answer: C
Question: A can do a piece of work in 22 days and B alone can do it in 10 days. B works at it for 5 days and then leaves. A alone can finish the remaining work in
A.5days
B.6days
C.11days
D.8.5days
Answer: C.11days
Explanation: Explanation:
B's 5 days work =
1/10∗5=1/2
Remaining work =1−1/2=1/2
A can finish work =22∗1/2=11 days
Option C
Question: If m is an integer such that (-2)^2m=2^(3-m) then m=?
A.1
B.2
C.3
D.5
Answer: A.1
Explanation: (-2)^(2m) = 4^m
and
2^(3-m) = 4^((3-m)/2)
Therefore,
m = (3-m)/2
2m = 3 - m
m = 1
Answer A
Question: A dishonest milkman wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing Rs.46 per litre so as to make a profit of 20% on cost when he sells the resulting milk and water mixture for Rs.54 In what ratio should he mix the water and milk?
A.1:20
B.1:10
C.1:8
D.1:45
Answer: D.1:45
Explanation: water = w (liter)
Milk = m (liter)
==> Cost = Price x Quantity = 0.46m
==> Revenue = Price x Quantity = 0.54(m + w)
==> Profit =0.54(m+w) - 0.46m = 0.2*(0.46m)[20% of cost]
==> 0.54m + 0.54w - 0.46m = 0.092m
==> 0.012m = 0.54w
==> m/w = 0.54/0.012 = 45
--OR--
w/m = 1/45
D is correct.
Question: Excluding the stoppages, the speed of a bus is 64 km/hr and including the stoppages the speed of the bus is 48km/hr. For how many minutes does the bus stop per hour?
A.15 min
B.10 min
C.12 min
D.20 min
Answer: A.15 min
Explanation: Speed of the bus without stoppage=64 km/hr
Speed of the bus with stoppage=48km/hr
Difference in speed=16 km/hr
so,the time taken in the stoppages = time taken to cover 16 km=(16/64)hr = 1/4 hr =15 min
ANSWER:A
Question: The lateral surface area of cuboid length 12 m, breadth 8 m and height 6m.
A.540
B.240
C.440
D.140
Answer: B.240
Explanation: Cuboid lateral surface = 2h(l+b)
= 2 × 6 (20) = 240 m(power2)
Answer is B
Question: What is the probability of flipping a fair coin seven times and the coin landing on heads on at least two flips?
A.7/8
B.15/16
C.31/32
D.63/64
Answer: B.15/16
Explanation: The number of possible outcomes is 2^7=128.
0 heads: There is 1 way to have all tails.
1 head: There are 7 ways to have one head.
P(0 or 1 head)=8/128=1/16
P(at least 2 heads)=1 - 1/16 = 15/16
The answer is B.
Question: Which of the following number is divisible by 24 ?
A.35718
B.63810
C.3125736
D.537804
Answer: C.3125736
Explanation: 24 = 3 x8, where 3 and 8 co-prime.
Clearly, 35718 is not divisible by 8, as 718 is not divisible by 8.
Similarly, 63810 is not divisible by 8 and 537804 is not divisible by 8.
Consider option (C),
Sum of digits = (3 + 1 + 2 + 5 + 7 + 3 + 6) = 27, which is divisible by 3.
Also, 736 is divisible by 8.
3125736 is divisible by (3 x 8), i.e., 24.
C
Question: B @ K I 9 D Â© 5 2 T $ M 4 E J # U R 1 A Î´ K 5 W 6 % F Q 7 H P 8 Z
How many such numbers are there in the above arrangement each of which is immediately followed by a symbol but not immediately preceded by a consonant?
A.None
B.One
C.Two
D.Three
Answer: A.None
Explanation: Explanation:
Consonant Number Symbol
There is no such combination.
ANSWER IS A
Question: A can contains a mixture of liquids A and B is the ratio 7:5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many liter W of liquid A was contained by the can initially?
A.10
B.20
C.21
D.25
Answer: C.21
Explanation: As A:B::7:5 ---> only option C is a multiple of 7 and hence it is a good place to start. Also A:B::7:5 means that , A = (712)*Total and B = (5/12)*Total
If A = 21 , B = 15 ---> remove 9 litres ---> you remove (7/12)*9 of A ---> A remaining = 21-(7/12)*9 = 63/4
Similarly, for B, you remove (5/12)*9 ---> B remaining = 15 - (5/12)*9 = 45/4 and then add 9 more litres of B ---> 9+45/4 = 81/4
Thus A/B (final ratio) = (45/4)/(81/4) = 7:9 , the same as the final ratio mentioned in the question.
Hence C is the correct answer.
A/B = 7/9 = (7x-(7/12)*9)/ (5x-(5/12)*9+9), where 7x and 5x are initial quantities of A and B respectively.
Thus, 7/9 = (7x-(7/12)*9)/ (5x-(5/12)*9+9) ---> giving you x=3. Thus A (original) W= 7*3 = 21.C
Question: If the arithmetic mean of seventy five numbers is calculated, it is 35. If each number is increased by 5, then mean of new number is?
A.22
B.40
C.28
D.21
Answer: B.40
Explanation: A.M. of 75 numbers = 35
Sum of 75 numbers = 75 * 35 = 2625
Total increase = 75 * 5 = 375
Increased sum = 2625 + 375 = 3000
Increased average = 3000/75
= 40.
Answer: B
Question: The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
A.1203
B.2778
C.1200
D.2702
Answer: C.1200
Explanation: P --- 10 ---- 600
P --- 5 ----- 300
3P --- 5 ----- 900
------
=> 1200
Answer:C
Question: A train travels from Albany to Syracuse, a distance of 120 miles, at the average rate of 50 miles per hour. The train then travels back to Albany from Syracuse. The total travelling time of the train is 5 hours and 30 minutes. What was the average rate of speed of the train on the return trip to Albany?
A.31
B.38.7
C.35
D.36
Answer: B.38.7
Explanation: 50*T =120 THEREFORE T = 120/50 =2.4
ON RETURN SPEED * ( 5.5 -2.4) =120 THEREFORE T = 120/3.1 =38.70
B
Question: There are 10 books on a shelf: 7 English books, 3 Spanish books and 2 Portuguese books. What is the probability of choosing 2 books in different languages?
A.31/90
B.3/10
C.1/3
D.41/45
Answer: D.41/45
Explanation: Probability = Favourable outcome / Total Outcome = 1- (Unfavourable outcome / Total Outcome)
Favourable Outcomes
Case-1: One book is English (out of 7 English books) and one book is Spanish (out of 3 Spanish books) i.e. 7C1*3C1
Case-2: One book is Spanish (out of 3 Spanish books) and one book is Portuguese (out of 2 Portuguese books) i.e. 3C1*2C1
Case-3: One book is English (out of 7 English books) and one book is Portuguese (out of 2 Portuguese books) i.e. 7C1*2C1
Total favourable Outcomes = 7C1*3C1+3C1*2C1+7C1*2C1 =21+6+14 = 41
Total Possible Outcomes = 10C2 = 45
i.e. Probability = 41/45
D
Question: If w, x, y, and z are four different prime numbers, which of the following is the smallest possible value of w + x + y + z?
A.15
B.17
C.19
D.21
Answer: B.17
Explanation: The sum of the four small smallest primes numbers is 2+3+5+7=17.
The answer is B.
Question: The remainder when 1!+2!+3!...+50! divided by 3! will be
A.21
B.3
C.77
D.927
Answer: B.3
Explanation: The remainder when the terms greater than 3! are divided by 3! becomes 0 so we need to consider the terms upto 2!.
So remainder will be whatever is obtained by dividing 1!+2! with 3!.
So remainder is obtained by dividing (1+2)= 3 with 3! ( 9)
So remainder is 3.
Answer:B
Question: Two circular signs are to be painted. If the radius of the larger sign is four times that of the smaller sign, how many times more paint is needed to paint the larger sign? (We can assume that a given amount of paint covers the same area on both signs.)
A.4
B.8
C.12
D.16
Answer: D.16
Explanation: Let R be the radius of the smaller sign.
The area A of the smaller sign is A = piR^2.
The area of the larger sign is pi(4R)^2=16piR^2=16A.
Since the area is 16 times larger, we need 16 times more paint for the larger sign.
The answer is D.
Question: A scuba diver descends at a rate of 30 feet per minute. a diver dive from a ship to search for a lost ship at the depth of 2400feet below the sea level..how long will he take to reach the ship?
A.70 minutes
B.72 minutes
C.80 minutes
D.76 minutes
Answer: C.80 minutes
Explanation: Time taken to reach = 2400/30= 80 minutes
ANSWER:C
Question: Richard has to paint a mural with seven horizontal stripes. He only has enough paint for four red stripes, four blue stripes, four white stripes. If his patron wants at most two different colors in the mural, how many different ways can he paint the wall?
A.210
B.350
C.700
D.2,520
Answer: A.210
Explanation: Number of ways to choose 2 colors among 3 - 3c2
Number of ways that the chosen colors can be painted for 7 horizontal stripes - 2 (either (4,3) or (3,4))
Now the order,
the number of ways in which a particular color among the 2 chosen colors can be painted for 4 stripes is - 7c4
[Note: We don't need to calculate the ways for the remaining 3 stripes as they are obvious and already counted under this]
Total number of combinations - 3c2 * 2* 7c4 = 210
A
Question: A shopkeeper bought 600 oranges and 400 bananas. He found 15% of oranges and 4% of bananas were rotten. Find the percentage of fruits in good condition?
A.92.5%
B.89.4%
C.85.2%
D.96.8%
Answer: B.89.4%
Explanation: Total number of fruits shopkeeper bought = 600 + 400 = 1000
Number of rotten oranges = 15% of 600
= 15/100 × 600
= 9000/100
= 90
Number of rotten bananas = 4% of 400
= 16
Therefore, total number of rotten fruits = 90 + 16= 106
Therefore Number of fruits in good condition = 1000 - 106 = 894
Therefore Percentage of fruits in good condition = (894/1000 × 100)%
= (89400/1000)%
= 89.4%
Answer:B
Question: Cathy and Cara begin running at the same time and they start at the same place on a straight path. Cathy runs at 10 miles per hour, and Cara runs at 5 miles per hour. After 12 minutes, Cathy stops to stretch. If it takes Cathy 24 minutes to stretch and Cara continues to run during this time, how many minutes will it take Cathy to catch up to Cara?
A.10
B.12
C.14
D.16
Answer: B.12
Explanation: In 12 minutes, Cathy runs 2 miles.
In 36 minutes, Cara runs 3 miles.
Cathy can catch Cara at a rate of 5 miles per hour.
Since Cara is ahead by 1 mile, it will take Cathy 1 / 5 hours = 12 minutes to catch Cara.
The answer is B.
Question: Everyone shakes hands with everyone else in a room. Total number of handshakes is 91. Number of persons=?
A.14
B.12
C.11
D.15
Answer: A.14
Explanation: In a room of n people, the number of possible handshakes is C(n,2) or n(n-1)/2
So n(n-1)/2 = 91 OR n(n-1)=182 OR n=14
Answer is (A)
Question: Rahul went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
A.19.7
B.19.9
C.21
D.21.7
Answer: A.19.7
Explanation: Total cost of the items he purchased = Rs.25
Given that out of this Rs.25, 30 Paise is given as tax
=> Total tax incurred = 30 Paise = Rs.30/100
Let the cost of the tax free items = x
Given that tax rate = 6%
∴ (25−30/100−x)6/100 = 30/100
⇒ 6(25 −0.3 −x) = 30
⇒ (25 − 0.3 − x) = 5
⇒ x = 25 − 0.3 − 5 = 19.7
A)
Question: At a game of billiards, A can give B 15 points in 60 and A can give C to 20 points in 60. How many points can B give C in a game of 90?
A.22
B.98
C.10
D.77
Answer: C.10
Explanation: Explanation:
A : B = 60 : 45.
A : C = 60 : 40.
\inline \fn_jvn {\color{Black}\therefore \frac{B}{C}=\left ( \frac{B}{A} \times \frac{A}{C}\right )=\left ( \frac{45}{60}\times \frac{60}{40} \right )=\frac{45}{40}=\frac{90}{80}=90:80}
B can give C 10 points in a game of 90.
Answer: C) 10 points
Question: 50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 , then the rise in the water level in the tank will be:
A.22
B.25
C.32
D.99
Answer: B.25
Explanation: Explanation:
Total volume of water displaced =(4 x 50) = 200
Rise in water level = =0.25m = 25cm
Answer: B) 25 cm
Question: Ram and Shyam together can do a piece of work in 30 days. Ram having worked for 16 days, Shyam finishes the remaining work alone in 44 days. In how many days shall Shyam finish the whole work alone?
A.30 days
B.40 days
C.60 days
D.70 days
Answer: C.60 days
Explanation: Let us assume the total work to be done is 120 units.
According to the question,
Ram and Shyam finish the work in 30 days which implies 4 units of work is done by them in a single day, i.e.,
R + S = 4. ------ (1)
Also, Ram works for 16 days and the remaining work is finished by Shyam in 44 days, i.e.,
16R + 44S = 120 ------ (2)
Equating the equations (1) and (2), S = 2 units and R = 2 units.
Shyam alone finishes 2 units of work in one day.
Therefore, the number of days taken by Shyam alone to finish the whole work = 120/2 = 60 days.
ANSWER:C
Question: A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed :
A.30 birds
B.60 birds
C.72 birds
D.90 birds
Answer: A.30 birds
Explanation: Explanation:
Let the no of shots be x. Then,
Shots fired by A = 5/8x
Shots fired by B = 3/8x
Killing shots by A = 1/3 of 5/8x= 5/24x
shots missed by B =1/2 of 3/8x =3/16x
therefore, 3/16x=27=> x=144
Birds killed by A = 5/24x=(5/24)x144=30
ANSWER IS A
Question: find the number, difference between number and its 3/5 is 50.
A.120
B.123
C.124
D.125
Answer: D.125
Explanation: Explanation:
Let the number = x,
Then, x-(3/5)x = 50,
=> (2/5)x = 50 => 2x = 50*5,
=> x = 125
Option D
Question: A cycle is bought for Rs.900 and sold for Rs.1180, find the gain percent?
A.11
B.31
C.99
D.77
Answer: B.31
Explanation: 900 ---- 280
100 ---- ? => 31%
Answer: B
Question: A can do a work in 60days and B in 12 days.Then A and B together do the work in,how many days?
A.5 days
B.4 days
C.10 days
D.2 days
Answer: C.10 days
Explanation: Explanation:
A's 1day's work = 1/60
B's 1day's work = 1/12
They work together = 1/60 + 1/12 = 10 days
Answer: Option C
Question: An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 20-meter platform and caught it after it had traveled 52.5 meters. How many times did the ball bounce?
A.5
B.6
C.7
D.3
Answer: D.3
Explanation: Going down = 20 m
Going Up = 10 --> Total = 30
Going down = 10 --> Total = 40
Going Up = 5 --> Total = 45
Going down = 5 --> Total = 50
Going up = 2.5 --> Total = 52.5 (Caught)
No of bouncing = 3
Answer : D