RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
A.1/455
B.1/451
C.1/457
D.1/459
Answer: A.1/455
Explanation: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.
Probability that all the three marbles picked at random are blue = 3C3/15C3
= (1 * 3 * 2 * 1)/(15 * 14 * 13)
= 1/455
Answer: A
Question: Nine people are on an elevator that stops at exactly 9 floors. What is the probability that exactly one person will push the button for each floor?
A.9!/9^9
B.9^9/9!
C.9/9!
D.9/9^9
Answer: A.9!/9^9
Explanation: Each person out of 9 has 9 options, hence total # of outcomes is 9^9;
Favorable outcomes will be 9!, which is # of ways to assign 9 different buttons to 9 people
So basically # of arrangements of 9 distinct objects: 9!.
P=favorable/total=9!/9^9
Answer: A.
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
A.288 m
B.667 m
C.240 m
D.176 m
Answer: C.240 m
Explanation: Speed = [54 * 5/18] m/sec = 15 m/sec.
Length of the train = (15 * 20) m = 300 m.
Let the length of the platform be x meters.
Then, x + 300 / 36 = 15
x + 300 = 540
x = 240 m.
Answer: C
Question: A sum was put a simple interest at a certain rate for 4 years. Had it been put at 3% higher rate, it would have fetched Rs. 120 more. The sum is:
A.s.750
B.s.1000
C.s.1250
D.s.1500
Answer: B.s.1000
Explanation: Explanation :
Let the sub be Rs.x and the initial rate be R%.Then
x Ã— (R+3) Ã— 4/100âˆ’xÃ—RÃ—4/100=120
â‡’x Ã— 3Ã—4/100=120
â‡’x Ã— 4 /100=40
â‡’4x=4000
â‡’x=1000
Answer : Option B
Question: Vijay bought 160 shirts at the rate of Rs. 265 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%?
A.Rs. 258
B.Rs. 333
C.Rs. 277.5
D.Rs. 285
Answer: B.Rs. 333
Explanation: Total CP per shirt = 265 + 1400/160 + 1.75 + 320/160 = Rs. 277.5
SP = CP[(100 + profit%)/100]
= 277.5 * [(100 + 20)/100] = Rs. 333.
ANSWER:B
Question: If x, 5, 6, 7 are there and the range and median of them are the same, what is the value of x?
A.0
B.1
C.6
D.3
Answer: C.6
Explanation: Try taking the values of x as you suggested and then see if the median and the range are equal.
Once you do that, you will get the answer yourself.
Tried substituting values starting with 5, 6, 7 ...
only x = 6 satisfies the condition.
C
Question: The triplicate ratio of 1:4 is?
A.1:7
B.1:8
C.1:3
D.1:64
Answer: D.1:64
Explanation: 1^3: 4^3 = 1:64
Answer: D
Question: If y exceeds x by 25%, then x is less than y by?
A.29%
B.80%
C.87%
D.20%
Answer: C.87%
Explanation: X=100	y=125
125--------25
100--------? => 20%
Answer: C
Question: One week a certain truck rental lot had a total of 20 trucks, all of which were on the lot Monday morning. If 50 percent of the trucks that were rented out during the week were returned to the lot on or before Saturday morning of that week, and if there were at least 12 trucks on the lot that Saturday morning, what is the greatest number of different trucks that could have been rented out during the week?
A.18
B.16
C.12
D.8
Answer: B.16
Explanation: A) 18 trucks rented means 2 were left and 9 were returned - 11 trucks - no good
B) 16 trucks rented means 4 were left and 8 were returned - 12 trucks - good
Answer is (B)
Question: From the given equation find the value of B: BÂ² + 1B - 56
A.3
B.5
C.8
D.12
Answer: C.8
Explanation: (B âˆ’ 7)(B + 8)
B = 7 or 8
Answer is C
Question: What is 12.5 % of 4/12 of 600?
A.25
B.24
C.30
D.27
Answer: A.25
Explanation: 12.5 % = 12.5 / 100 = 1/8 of 4/12 = 1/8 * 4/12 = 1 / 24 of 600 = 1/24 * 600 = 25
Ans -A
Question: If Raj was one-third as old as Rahim 5 years back and Raj is 17 years old now, How old is Rahim now?
A.40
B.41
C.36
D.48
Answer: B.41
Explanation: Explanation:
Raj’s age today = 17 decades,
Hence, 5 decades back, he must be 12 years old.
Rahim must be 36 years old, Because (3×12).
5 years back Rahim must be 41 years old today. Because (36+5). Answer: B
Question: The cost of 2 benchs and 3 tables is Rs.1300. The cost of 3 benchs and 2 tables is Rs.1200. The cost of each table is more than that of each bench by?
A.900
B.200
C.100
D.400
Answer: C.100
Explanation: C
100
2C + 3T = 1300 --- (1)
3C + 3T = 1200 --- (2)
Subtracting 2nd from 1st, we get
-C + T = 100 => T - C = 100
Question: For any number Z, Z* is defined as the greatest positive even integer less than or equal to y. What is the value of 6.45 – 6.45*?
A.0.45
B.0.5
C.6.45
D.0.25
Answer: A.0.45
Explanation: Since Z* is defined as the greatest positive even integer less than or equal to Z, then 6.45* =6 (the greatest positive even integer less than or equal to 6.45 is 6).
Hence, 6.45 – 6.45* = 6.45 - 6 = 0.45
Answer: A.
Question: If the cost price is 75% of selling price then what is the profit percentage.
A.30.33
B.31.33
C.32.33
D.33.33
Answer: D.33.33
Explanation: selling price=Rs100 : then cost price=Rs 75:profit =Rs 25.
Profit={(25/75)*100}%=33.33%
Answer is D.
Question: In the graph below, no axes or origin is shown. If point B's coordinates are (12,3), which of the following coordinates would most likely be A's?
A.(17, -2)
B.(10, 6)
C.(6, 8)
D.(-10, 3)
Answer: A.(17, -2)
Explanation: wherever be the axis as per question y coordinate of point A will be greater than 3 and X coordinate will be lower than 10.
A rules..
Question: Find the value of x. (47% of 1442 - 36% of 1412) + 61 = x?
A.1
B.2
C.3
D.4
Answer: B.2
Explanation: B) 2
Question: There are 30 players in a chess group, and each player plays each of the others once. Given that each game is played by two players, how many total games will be played?
A.10
B.30
C.435
D.60
Answer: C.435
Explanation: 30 players are there.
two players play one game with one another.
so 30C2=30*29/2
=435
SO OPTION C is correct
Question: In a certain random experiment, exactly one of the outcomes A, B, and V will occur. In each random experiment, the probability that outcome A will occur is 1/3 , and the probability that outcome B will occur is 1/3. What is the probability that when the random experiment is conducted 6 independent times, each of outcomes A, B, and V will occur twice?
A.5/243
B.1/12
C.10/81
D.1/6
Answer: C.10/81
Explanation: Number of ways in which a group of 2A,2B,2V can be formed in any order = 6!/(2!*2!*2!) [ formula for total of 6 items with 2 each of similar kind)
Total number of ways in which the die can be thrown independently = _ _ _ _ _ _ ; there are 6 places .First can be filled in 3 different ways A/B/V; Second in 3 diff ways again and so on.
So total number of ways = 3X3X3X3X3X3 = 3^6
There fore probability = 6!/(2!x2!x2!) by 3^6 = 90/3^6 = 10/81 Answer C
Question: While calculating the edge of a square, a worker makes an error of 2% in excess. What % error does he make in calculating area? (%)
A.4.09
B.4.0
C.4.04
D.4.02
Answer: C.4.04
Explanation: Explanation:
Given Error = 2% while measuring the side of a square.
If the correct value of the side of square is 100, the measured value:
=> 100 + 2% *100
= 100+2=102
The area of square with edge 100 = side*side
=> 100*100
=> 10000
The area of square with side 102 = 102*102= 10404
Error in area calculation = 10404-1000 = 404
% error= (404/10000)*100
= 4.04%
ANSWER: C
Question: 3, 22, 7, 45, 15, ?, 31 Complete the series
A.91
B.92
C.93
D.94
Answer: A.91
Explanation: 3+4*1=7
7+4*2=15
15+4*4=16
Similarly
22+23*1=45
45+23*2=91
ANSWER:A
Question: A train 120 m long running at 60 kmph crosses a platform in 20 sec. What is the length of the platform?
A.213
B.298
C.350
D.726
Answer: A.213
Explanation: D = 60 * 5/18 = 20
= 333 â€“ 120
= 213
Answer: A
Question: The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8500. If his salary for the month of May is Rs.6500, find his salary for the month of January?
A.2177
B.2876
C.4500
D.2981
Answer: C.4500
Explanation: Sum of the salaries of the person for the months of January, February, March and April = 4 * 8000 = 32000 ----(1)
Sum of the salaries of the person for the months of February, March, April and May = 4 * 8500 = 34000 ----(2)
(2)-(1) i.e. May - Jan = 2000
Salary of May is Rs.6500
Salary of January = Rs.4500.Answer: C
Question: A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 150 kilometers?
A.3.5 gallons
B.2.7 gallons
C.5.75 gallons
D.3.75 gallons
Answer: D.3.75 gallons
Explanation: Each 40 kilometers, 1 gallon is needed. We need to know how many 40 kilometers are there in 150 kilometers?
150 Ã· 40 = 3.75 Ã— 1 gallon = 3.75 gallons
correct answer is D) 3.75 gallons
Question: Each day a man meets his wife at the train station after work, and then she drives him home. She always arrives exactly on time to pick him up. One day he catches an earlier train and arrives at the station an hour early. He immediately begins walking home along the same route the wife drives. Eventually his wife sees him on her way to the station and drives him the rest of the way home. When they arrive home the man notices that they arrived 12 minutes earlier than usual. How much time did the man spend walking?
A.45 minutes
B.50 minutes
C.40 minutes
D.54 minutes
Answer: D.54 minutes
Explanation: As they arrived 12 minutes earlier than usual, they saved 12 minutes on round trip from home to station (home-station-home) --> 6 minutes in each direction (home-station) --> wife meets husband 6 minutes earlier the usual meeting time --> husband arrived an hour earlier the usual meeting time, so he must have spent waking the rest of the time before their meeting, which is hour-6 minutes=54 minutes.
Answer: D
Question: There are 5 different letters and 5 letter boxes of same size shape and colors. How many method are possible to post the letters?
A.50
B.51
C.52
D.53
Answer: C.52
Explanation: 50000 ->1
41000 ->5
31100 ->10
32000 ->10
21110 ->10
22100 ->15
11111 ->1
1+5+10+10+10+30+1=52
ANSWER:C
Question: A bag contains a certain number of 50 paise coins, 20 paise coins and 10 paise coins inthe ratio 2:3:4.
A.50p coins = 400 20p coins = 600 10p coins = 800
B.50p coins = 480 20p coins = 600 10p coins = 800
C.50p coins = 400 20p coins = 600 10p coins = 780
D.50p coins = 400 20p coins = 608 10p coins = 800
Answer: A.50p coins = 400 20p coins = 600 10p coins = 800
Explanation: 50*2k + 20*3k + 10*4k = 40000
200k = 40000 => k = 200
50p coins = 2k = 2*200 = 400
20p coins = 3k = 3*200 = 600
10p coins = 4k = 4*200 = 800
Answer:A
Question: The rate of a certain chemical reaction is directly proportional to the concentration of chemical B present and inversely proportional to the concentration of chemical A present. If the concentration of chemical B present is increased by 50 percent, which of the following is closest to the percent change in the the concentration of chemical B required to keep the reaction rate unchanged.
A.100 % decrease
B.30% decrease
C.40% decrease
D.50% increase
Answer: D.50% increase
Explanation: Let's say here is the formula of how A and B affects the reaction speed:
rate = B/A
After the concentration A is increased by 50%, the percentage of A
become 1.5A, to keep 'rate' the same, need to have 1.5B.
Which means B increased by 50%
Answer : D
Question: Ace Transport has acquired two trucks to carry different types of cargo. One costs $70,000; the other costs $52,000. The company expects that the first will last 165,000 miles, after which it can be sold for salvage for about $4,000. The other will fetch the same salvage price, but will last 200,000 miles. The two trucks convoy together, so they always show the same mileage readings. If the value of each truck declines at different constant rates for every mile driven, at what mileage reading will the residual values of the two trucks be equal?
A.87,500 miles
B.100,000 miles
C.107,750 miles
D.112,500 miles
Answer: D.112,500 miles
Explanation: Truck 1 : 70,000 = m1 * 165,000 + 4,000 , where m1 is the depreciation $ per mile
Solve for m1 = 0.4
So the depreciation line for Truck 1 is y = 0.4 x + 4,000 , where y is in dollars and x is in mileage.
Similarly for Truck 2 : 52,000 = m2 * 200,000 + 4,000
and this gives m2 = 0.24
and similar line for Truck 2 is y = 0.24 x + 4,000.
The question is where values are same, and in terms of the equation, it's where the two depreciation lines meet.
so solve for x, 0.4 x + 4,000 = 72,000
0.24x + 4,000 = 52,000
gives x = 112,500,
ANSWER:D
Question: An association of mathematics teachers has 1,260 members. Only 560 of these members cast votes in the election for president of the association. What percent of the total membership voted for the winning candidate if the winning candidate received 60 percent of the votes cast?
A.75%
B.26.67%
C.42%
D.34%
Answer: B.26.67%
Explanation: Total Number of members = 1260
Number of members that cast votes = 560
Since , winning candidate received 60 percent of the votes cast
Number of votes for winning candidate = (60/100)*560 = 336
Percent of total membership that voted for winning candidate = (336/1260)*100 = 26.67%
Answer B
Question: Out of 450 students of a school, 325 play football, 175 play cricket and 50 neither play football nor cricket. How many students play both football and cricket ?
A.75
B.100
C.125
D.150
Answer: B.100
Explanation: Explanation:
Students who play cricket, n(A) = 325
Students who play football, n(B) = 175
Total students who play either or both games,
=n(A∪B)=450−50=400Required Number,n(A∩B)=n(A)+n(B)−n(A∪B)=325+175−400=100
Option B
Question: ?% of 360 = 129.6
A.277
B.36
C.64
D.72
Answer: B.36
Explanation: ?% of 360 = 129.6
or, ? = 129.6×100/360=36
Answer B
Question: Factory X's bulbs work for over 5000 hours in 79% of cases, whereas factory Y's bulbs work for over 5000 hours in 85% of cases. It is known that factory X supplies 80% of the total bulbs available. What is the chance that a purchased bulb will work for longer than 5000 hours?
A.80.2%
B.88%
C.87.4%
D.85%
Answer: A.80.2%
Explanation: For X, 80% of 79% will work.
For Y, 20% of 85% will work. *20% is the rest of the bulb supply in the market.
So, the probability that a purchased bulb will work is:
0.80(0.79) = .632
0.20(0.85) = 0.17
The combined probability then is 63.2 + 17 = 80.2%
ANS A
Question: The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:
A.4050
B.3500
C.4000
D.4500
Answer: C.4000
Explanation: Let P, Q and R represent their respective monthly incomes. Then, we have:
P + Q = (5050 x 2) = 10100 .... (i)
Q + R = (6250 x 2) = 12500 .... (ii)
P + R = (5200 x 2) = 10400 .... (iii)
Adding (i), (ii) and (iii), we get: 2(P + Q + R) = 33000 or P + Q + R = 16500 .... (iv)
Subtracting (ii) from (iv), we get P = 4000.
P's monthly income = Rs. 4000.
Answer: C
Question: If the sum of 5 consecutive integers is x, which of the following must be true?
I. x is an even number
II. x is an odd number
III. x is a multiple of 6
A. I only
B. II only
C. None
D. I and III
Answer: C. None
Explanation: I. If you start off with an even number, the sum (x) is even, and if you start off with an odd number the sum (x) is odd. Therefore this is not always true.
II. Same as above. This need not be always true.
III. Say, the first number is p. Then the sum of the five numbers = p + (p+1) + (p+2)...... + (p+4)
= 5p + 10 = 5 (p+2) => divisible by 5.
Therefore C is the answer.
Question: On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004?
A.Tuesday
B.Monday
C.Sunday
D.Friday
Answer: C.Sunday
Explanation: The year 2004 is a leap year. It has 2 odd days.
The day on 8th Feb, 2004 is 2 days before the day on 8th Feb, 2005.
Hence, this day is Sunday.
answer : C
Question: The points A(0, 0), B(0, 4a - 5) and C(2a + 1, 2a + 5) form a triangle. If angle ABC = 90, what is the area of triangle ABC?
A.80
B.82.5
C.78.5
D.75.5
Answer: B.82.5
Explanation: 1/2bh=1/2(2a+1)(2a+5)
Now 4a-5=2a+5
2a=10 ,a=5
Therefore,
A(0,0); B(0,15); C(10,15)
1/2*11*15=82.5
Answer: B
Question: The price of a jacket is reduced by 25%. During a special sale the price of the jacket is reduced another 15%. By approximately what percent must the price of the jacket now be increased in order to restore it to its original amount?
A.32.5
B.35
C.48
D.56.8
Answer: D.56.8
Explanation: 1) Let the price of jacket initially be $100.
2) Then it is decreased by 25% , therefore bringing down the price to $75.
3) Again it is further discounted by 10%, therefore bringing down the price to $63.75.
4) Now 63.75 has to be added byX %in order to equal the original price.
63.75 + ( X% ) 63.75 = 100.
Solving this eq for X, we get X = 56.8
Ans is D.
Question: A lady has fine gloves and hats in her closet- 25 blue, 7 red, and 9 yellow. The lights are
out and it is totally dark. In spite of the darkness, she can make out the difference between
a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a
glove. How many gloves must she take out to make sure she has a pair of each color?
A.36
B.37
C.38
D.39
Answer: A.36
Explanation: since it is not given hw many hats so he has hance to take any so 25+7+depends on given answer if 36 is answer round off to 25+7+4=36
ANSWER:A
Question: If x is the sum of six consecutive integers, then x is divisible by which of the following:
I. 3
II. 4
III. 6
A.I only
B.II only
C.III only
D.I and III
Answer: A.I only
Explanation: let the six numbers be k-2, k-1, k, k+1, k+2, k+3
then, there sum will be 6k+3
3(2k+1),which is clearly a multiple of 3. Also, 2k+1 will always be odd. thus the sum will never be divisible by 2.
hence option A
Question: he average of 5 numbers is zero. Of them, at the most, how many may be greater than zero?
A.0
B.4
C.10
D.19
Answer: C.10
Explanation: Average of 5 numbers = 0.
Sum of 5 numbers (0 x 5) = 0.
It is quite possible that 4 of these numbers may be positive and if their sum is a the 5th number is (-a).
Answer: Option C
Question: If we want to choose out of 6 consonants and 4 vowels, how many words of 3 consonants and 3 vowels can be formed?
A.12200
B.720
C.9002
D.57600
Answer: D.57600
Explanation: Required selection = select 3 consonants from 6 and 3 vowels frm 4
= 6C3 * 4C3
= 80
As we have to form 6 letter word the above combination of consonants and vowels can be done in 6! = 720 different ways
Required no. of ways = 80 * 720
= 57600
Ans - D
Question: A train covers a distance in 50 minutes, if it runs at a speed of 48kmph on an average. Find the speed
at which the train must run to reduce the time of journey to 40 minutes
A.50 km/hr
B.60 km/hr
C.65 km/hr
D.70 km/hr
Answer: B.60 km/hr
Explanation: Explanation:
We are having time and speed given, so first we will calculate the distance. Then we can get new speed
for given time and distance.
Lets solve it.
Time = 50/60 hr = 5/6 hr
Speed = 48 mph
Distance = S*T = 48 * 5/6 = 40 km
New Ɵme will be 40 minutes so,
Time = 40/60 hr = 2/3 hr
Now we know,
Speed = Distance/Time
New speed = 40*3/2 kmph = 60kmph
Answer: B
Question: If A:B=4:7 AND B:C=5:9,THEN A:C=?
A.28:37
B.18:37
C.16:53
D.20:63
Answer: D.20:63
Explanation: A/B=4/7 AND B/c=5/9
A/B*B/C=4/7*5/9=20/63
SO A/C=20/63
20:63
ANSWER D
Question: A car started running at a speed of 28 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 10 hours of the journey.
A.37 km
B.76 km
C.25 km
D.15 km
Answer: A.37 km
Explanation: A
37 km
The total distance covered by the car in the first 10 hours = 28 + 30 + 32 + 34 + 36 + 38 + 40 + 42 + 44 + 46 = sum of 10 terms in AP whose first term is 28 and last term is 46 = 10/2 [28 + 46] = 370 km.
Question: A farmer has an apple orchard consisting of Fuji and Gala apple trees. Due to high winds this year 10% of his trees cross pollinated. The number of his trees that are pure Fuji plus the cross-pollinated ones totals 153, while 3/4 of all his trees are pure Fuji. How many of his trees are pure Gala?
A.22
B.33
C.55
D.27
Answer: D.27
Explanation: Let f = pure fuji , g = pure gala and c - cross pollinated.
c = 10% of x where x is total trees.
c = .1x
also 3x/4 = f and c+f = 153 => .1x + 3/4x = 153=> x = 180
180 - 153 = pure gala = 27.
D
Question: The standard deviation of a normal distribution of data is 2, and 3 standard deviations below the mean is greater than 46. What is a possible value for the mean of the distribution?
A.46
B.52
C.48
D.49
Answer: B.52
Explanation: The standard deviation ({SD}) = 2;
3 standard deviations below the mean is greater than 46:
{Mean} - 3*{SD} > 46;
{Mean} - 6 > 46;
{Mean} > 52.
Answer: B.
Question: Health insurance Plan P requires the insured person to pay $500 but then the insurance pays 80% of the cost over $500. Plan Q requires the insured to pay the initial $300, but then pays 60% of the cost over $300. Which of the following is a cost level for which both insurance plans pay out the same amount?
A.$1100
B.$1600
C.$2200
D.$2800
Answer: A.$1100
Explanation: 0.8(x-500)=0.6(x-300)
0.2x=400-180
x=1100
The answer is A.
Question: The contents of a certain box consist of 14 apples and 25 oranges. How many oranges must be removed from the box so that 70 percent of the pieces of fruit in the box will be apples?
A.3
B.6
C.14
D.19
Answer: D.19
Explanation: The objective here is that 70% of the fruit in the box should be apples.
Now, there are 14 apples at start and there is no talk of removing any apples, so number of apples should remain 14 and they should constitute 70% of total fruit, so total fruit = 14/0.7 = 20
So we should have 20-14 = 6 oranges.
Right now, there are 25 oranges, so to get to 6 oranges, we should remove 25 - 6 = 19 oranges.
Answer D
Question: Working together, printer A and printer B would finish the task in 24 minutes. Printer A alone would finish the task in 60 minutes. How many pages does the task contain if printer B prints 6 pages a minute more than printer A ?
A.600
B.800
C.1000
D.720
Answer: D.720
Explanation: Answer: D.
Question: The sector of a circle has radius of 20 cm and central angle 135o. Find its perimeter?
A.91.5
B.87.1
C.91.7
D.91.3
Answer: B.87.1
Explanation: Perimeter of the sector = length of the arc + 2(radius)
= (135/360 * 2 * 22/7 * 20) + 2(20)
= 47.1 + 40 = 87.1 cm
Answer:B
Question: If books bought at prices ranging from Rs. 250 to Rs. 350 are sold at prices ranging from Rs. 300 to Rs. 425, what is the greatest possible profit that might be made in selling eight books ?
A.23267
B.1400
C.1800
D.2778
Answer: B.1400
Explanation: Explanation:
Least Cost Price = Rs. (250 * 8) = Rs. 2000.
Greatest Selling Price = Rs. (425 * 8) = Rs. 3400.
Required profit = Rs. (3400 - 2000) = Rs. 1400.
Answer: B) 1400
Question: If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 12% per annum then the gain of B in a period of 3 years is?
A.200
B.210
C.220
D.225
Answer: B.210
Explanation: (3500*2*3)/100 => 210
Answer: B
Question: Ten years ago, P was half of Q in age. If the ratio of their present ages is 3:4, what will be the total of their present ages
A.35
B.34
C.45
D.25
Answer: A.35
Explanation: Explanation:
Let the present age of P and Q be 3x and 4x respectively.
Ten years ago, P was half of Q in age
=> 2(3x – 10) = (4x – 10)
=> 6x – 20 = 4x – 10
=> 2x = 10
=> x = 5
Option A
Question: If x/y =1/4, then (x-y)/x?
A.-1/2
B.-1
C.-3
D.1/2
Answer: C.-3
Explanation: we have this law of fraction:
a/b=c/d= (a-c)/(b-d)
x/y=1/4 ---> x/1=y/4= (x-y)/(1-4)=(x-y)/(-3) ---> (x-y)/x= -3
Answer: C
Question: A positive integer n is a perfect number provided that the sum of all the positive factors of n, including 1 and n, is equal to 2n. What is the sum of the reciprocals of all the positive factors of the perfect number 28?
A.1/4
B.56/27
C.2
D.3
Answer: C.2
Explanation: Soln:
28 = 1*28
2*14
4*7
sum of reciprocals = 1+1/28+1/2+1/14+1/4+1/7=56/28=2
ANSWER:C
Question: what is the least number. which should be added to 0.0282 to make it a perfect square?
A.0.0007
B.0.0042
C.0.0002
D.0.0003
Answer: A.0.0007
Explanation: 0.0282+0.0007=0.0289
(0.17)^2
ANSWER:A