RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: If a continuous cable 10 meters long was marked off at intervals of 1/3 meter and also 1/7 meter, and then if the cable were cut at each mark, how many different size length of cable would result?
A.1
B.2
C.3
D.4
Answer: C.3
Explanation: In this particular example length (10 meter) is just extraneous information.
The location of the marks for 1/3 meter would be 7/21, 14/21, 21/21, etc...
The location of the marks for 1/7 meter would be 3/21, 6/21, 9/21, 12/21, 15/21, 18/21, 21/21, etc...
The distances between marks are 3/21, 1/21, and 2/21.
The answer is C.
Question: In how many years does a sum of Rs. 6000 yield a simple interest of Rs. 15000 at 15% p.a.?
A.16.66 years
B.17.66 years
C.18.66 years
D.19.66 years
Answer: A.16.66 years
Explanation: T = (100 * 15000)/(15 * 6000) = 16.66 years
ANSWER:A
Question: A ball is bought for Rs.400 and sold at a gain of 30% find its selling price?
A.A)Rs.480/-
B.B)Rs.490/-
C.C)Rs.500/-
D.D)Rs.520/-
Answer: D.D)Rs.520/-
Explanation: 100 % ------> 400 (100 * 4 = 400)
130 % ------> 520 (130 * 4 = 520)
Selling price = Rs.520/-
D
Question: 6, 10, 18, 30, 46, ?
A.66
B.56
C.74
D.57
Answer: A.66
Explanation: The pattern is + 4, + 8, + 12, + 16, +20
Answer : A.
Question: If â€œ*â€ is called â€œ+â€, â€œ/â€ is called â€œ*â€, â€œ-â€ is called â€œ/â€, â€œ+â€ is called â€œ-â€. 240/80 â€“ 60 * 40 - 10 = ?
A.355
B.341
C.323.2
D.425.6
Answer: C.323.2
Explanation: Explanation:
Given : 240/80 â€“ 60 * 40 - 10 = ?
Substituting the coded symbols for mathematical operations, we get,
240 * 80/60 +40 / 10 = ?
240 * 1.33 + 4 = ?
319.2 + 4 = 323.2
ANSWER : C
Question: The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
A.68
B.75
C.58
D.55
Answer: A.68
Explanation: Length of the two trains = 600m + 400m
Speed of the first train = X
Speed of the second train= 48 Kmph
1000/X - 48 = 180
1000/x - 48 * 5/18 = 180
50 = 9X - 120
X = 68 Kmph
ANSWER A
Question: It takes 40 identical printing presses 9 hours to print 500,000 papers. How many hours would it take 30 of these printing presses to print 500,000 papers?
A.9
B.10
C.11
D.12
Answer: D.12
Explanation: 40 printing presses can do 1/9 of the job each hour.
30 printing presses can do 3/4*1/9 = 1/12 of the job each hour.
The answer is D.
Question: If the annual rate of simple interest increases from 10% to 12 1/2 %, a man's yearly income increases by Rs. 1250. His principal in Rs. is?
A.50009
B.50000
C.50011
D.50077
Answer: B.50000
Explanation: Let the sum be Rs. x. Then,
(x * 25/2 * 1/100) - (x * 10 * 1)/100 = 1250
25x - 20x = 250000
x = 50000
Answer: B
Question: Mark bought a set of 6 flower pots of different sizes at a total cost of $8.00. Each pot cost 0.25 more than the next one below it in size. What was the cost, in dollars, of the largest pot?
A.$1.75
B.$1.96
C.$2.00
D.$2.15
Answer: B.$1.96
Explanation: This question can be solved with a handful of different Algebra approaches (as has been shown in the various posts). Since the question asks for the price of the largest pot, and the answers are prices, we can TEST THE ANSWERS.
We're told that there are 6 pots and that each pot costs 25 cents MORE than the next. The total price of the pots is $8.25. We're asked for the price of the largest (most expensive) pot.
Since the total price is $8.00 (a 25-cent increment) and the the difference in sequential prices of the pots is 25 cents, the largest pot PROBABLY has a price that is a 25-cent increment. From the answer choices, I would then TEST Answer C first (since answers B and D are NOT in 25-cent increments).
IF....
The largest pot = $1.958
0.708
0.958
1.208
1.458
1.708
1.958
Total = $8.00
So this MUST be the answer.
B
Question: What will be the fraction of 4%
A.1/20
B.1/50
C.1/75
D.1/25
Answer: D.1/25
Explanation: Explanation:
4*1/100 = 1/25.
Friends I know it is quite simple, but trust me while solving percentage questions in Hurry we use to do these types of mistake only. So I recommend you to have a bit practise of this
Option D
Question: In an election between two candidates, the first candidate got 70% of the votes and the second candidate got 240 votes. What was the total number of votes?
A.800
B.900
C.1000
D.1100
Answer: A.800
Explanation: Let V be the total number of votes.
0.3V = 240
V = 800
The answer is A.
Question: If a certain manager had received a 10% raise instead of the 8% raise that she actually received, her salary would have been $50000. What was her actual salary after the raise?
A.55,000
B.58,806
C.49,090
D.59,400
Answer: C.49,090
Explanation: No need of getting involved with decimals ..just work in fractions ..
salary(let X) included 10% increase can be written as
(1+10/100)X=50000
X=50000/1.10------>45454.54
if there is 8% rise in 45454.54
then the salary now is 8% of 45454.54
8*45454.54/100=3636.36
then toal salary after increment=45454.54+3636.36---->49090.9
Ans C
Question: One side of a rectangular field is 15m and one of its diagonal is 17m. Find the area of field?
A.128
B.120
C.298
D.112
Answer: B.120
Explanation: Other side = [(17 x 17) - (15 x 15)] = (289 - 225) = 8m
Area = 15 x 8
=120 sq. m
Answer: B
Question: [( 3.242 x 16 ) / 100] = ?
A.0.045388
B.4.5388
C.0.051872
D.473.88
Answer: C.0.051872
Explanation: Answer
Multiplying 3.242 x 16=5.1872
Now divide 5.1872 by 100
So, 5.1872 ÷ 100= 0.051872
∴ Shift the decimal two places to the left as 100
Correct Option: C
Question: How many prime numbers between 1 and 100 are factors of 10010?
A.5
B.4
C.3
D.2
Answer: A.5
Explanation: factor of 10010= 2*5*7*11*13 --- 5 prime numbers
A
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1245, find the loss %?
A.18
B.16
C.26
D.17
Answer: D.17
Explanation: Explanation:
1500 ---- 255
100 ---- ? => 17%
Answer:D
Question: In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of three metres is left from all sides of the boundary of the garden. What is the length of the garden?
A.22
B.24
C.26
D.28
Answer: D.28
Explanation: Between the 12 mango trees, there are 11 gaps and each gap has 2 meter length
Also, 3 meter is left from all sides of the boundary of the garden.
Hence, length of the garden = (11 Ã— 2) + 3 + 3 = 28 meter
Answer is D.
Question: A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
A.197
B.375
C.279
D.278
Answer: B.375
Explanation: CP1 = 100 SP1 = 120
CP2 = 80 SP2 = 80 * (125/100) = 100
20 ----- 100
75 ----- ? => 375
Answer:B
Question: here's an easy question of averages, but let's try to see innovative ways of solving this.
A class has 12 boys and x girls. Average score of boys and girls is 81 and 92 respectively. the average of the whole class is 86, what is the value of x?
A.a) 6
B.b) 7
C.c) 8
D.d) 10
Answer: D.d) 10
Explanation: 12(81)+92x/12+x=86
972+92x/12+x=86
972+92x=86(12+x)
972+92x=1032+86x
X's one side, numbers one side we get,
92x - 86x=1032-972
6x=60
hence, x=10
Answer D
Question: The perimeter of a polygon with sides of integer length is 45. If the smallest side of the polygon is 5 and the longest side of the polygon is 10, then the number of sides could be any number from
A.5 to 7
B.5 to 8
C.5 to 9
D.6 to 8
Answer: B.5 to 8
Explanation: The sum of the length of the remaining sides must be 45 - (5 + 10) = 30.
We can have 5-sided polygon {5,10, 10, 10,10} (we cannot increase the length of any side to reduce the number of sides);
We can have 6-sided polygon {5,5, 5, 10, 10,10};
We can have 7-sided polygon {5,5, 5, 5, 5, 10,10};
We can have 8-sided polygon {5,5, 5, 5, 5, 5, 5,10} (we cannot decrease the length of any side to increase the number of sides).
Answer: B.
Question: A train 75m long takes 6 sec to cross a man walking at 5kmph in a direction opposite to that of the train. Find the speed of the train?
A.35kmph
B.40kmph
C.45kmph
D.50kmph
Answer: B.40kmph
Explanation: Let the speed of the train be x kmph
Speed of the train relative to man = x+5 = (x+5)*5/18 m/sec
75/[(x+5)*5/18] = 6
30(x+5) = 1350
x = 40kmph
Answer is B
Question: If shares of two persons in profits are Rs.400 and Rs.1200 then ratio of their capitals is
A.3:4
B.2:3
C.4:3
D.1:3
Answer: D.1:3
Explanation: profit=time*capital
so 400:1200=1:3
ANSWER:D
Question: A man leaves a point P at 6 a.m. and reaches the point Q at 10 a.m. another man leaves the point give at 8 a.m. and reaches the point P at 12 noon. At what time do they meet?
A.9 a.m
B.8 a.m
C.7 a.m
D.6 a.m
Answer: A.9 a.m
Explanation: A
9 a.m.
Question: A,B,C together can do a work in 16 days. A alone can do the work in 64 days and B alone can do the same work in 80 days. Find in what time C alone can do that work?
A.24days
B.29.50days
C.33.59days
D.29.09days
Answer: D.29.09days
Explanation: The required answer is = 16*64*80 / 64*80-16(64+80)
= 81920/2816 = 29.09days
Answer is D
Question: A baseball card decreased in value 20% in its first year and 20% in its second year. What was the total percent decrease of the card's value over the two years?
A.28%
B.30%
C.32%
D.36%
Answer: D.36%
Explanation: consider the initial value of the baseball card as $100
After first year price = 100*0.8 = 80
After second year price = 80 *0.8 = 64
final decrease = [(100 - 64)/100] * 100 = 36%
correct answer - D
Question: Dividing by 3⁄8 and then multiplying by 5⁄9 is the same as dividing by what number?
A.31⁄5
B.16⁄5
C.20⁄9
D.40/27
Answer: D.40/27
Explanation: say X/3/8*5/9 = x*8/3*5/9 = x*40/27
D
Question: Look at this series: 80, 10, 70, 15, 60, ... What number should come next?
A.20
B.25
C.30
D.50
Answer: A.20
Explanation: Explanation: This is an alternating addition and subtraction series. In the first pattern, 10 is subtracted from each number to arrive at the next. In the second, 5 is added to each number to arrive at the next.
Answer: Option A
Question: Ravi invested certain amount for two rates of simple interests at 6% p.a. and 7% p.a. What is the ratio of Ravi's investments if the interests from those investments are equal?
A.7:2
B.7:8
C.7:4
D.7:6
Answer: D.7:6
Explanation: Let x be the investment of Ravi in 6% and y be in 7%
x(6)(n)/100 = y(7)(n)/100
=> x/y = 7/6
x : y = 7:6
Answer: D
Question: A certain lab experiments with white and brown mice only. In one experiment, 4/9 of the mice are brown. If there are 20 brown mice in the experiment, how many mice in total are in the experiment?
A.32
B.26
C.36
D.28
Answer: C.36
Explanation: Let total number of mice = M
Number of brown mice = 4/9 M
Number of white mice = 5/9 M = 20
=> M = 36
Answer C
Question: The sides of a rectangular region measured to the nearest centimeter are 9 cm and 6 cm. Out of the following which is the largest possible value of actual area of rectangle ?
A.48
B.55.25
C.52.29
D.59.66
Answer: D.59.66
Explanation: acan be anywhere between 8.5 and 9.4 andbcan be anywhere between 5.5 and 6.4.
Hence max area can be 9.4*6.4 eq 60.16.
largest value which is near to 60.16 is 59.66.
Hence D.
Question: Mudit's age 26 years hence will be thrice his age four years ago. Find Mudit's present age?
A.12
B.22
C.19
D.18
Answer: C.19
Explanation: Explanation:
Let Mudit's present age be 'm' years.
m + 26 = 3(m - 4)
=> 2m = 38 => m = 19 years.
Answer:C
Question: What is the unit digit of (6!*6! / 6!*3!)?
A.0
B.1
C.2
D.3
Answer: A.0
Explanation: (6!*6! /6!*3!)
=(6! / 3!)
=720/6
=120
Units digit of the above product will be equal to 0
Answer A
Question: A, B and C invest in the ratio of 3 : 4: 5. The percentage of return on their investments are in the ratio of 6 : 5 : 4. Find the total earnings, If B earns Rs. 350 more than A :
A.10150
B.7250
C.2767
D.1998
Answer: A.10150
Explanation: Explanation:
A B C
investment 3x 4x 5x
Rate of return 6y% 5y% 4y%
Return \inline \frac{18xy}{100} \inline \frac{20xy}{100} \inline \frac{20xy}{100}
Total = (18+20+20) = \inline \frac{58xy}{100}
B's earnings - A's earnings = \inline \frac{2xy}{100} = 350
Total earning = \inline \frac{58xy}{100} = 10150
Answer: A) Rs.10150
Question: What is the smallest number of ducks that could swim in this formation - two ducks in front of a duck, two ducks behind a duck and a duck between two ducks ?
A.3
B.5
C.7
D.9
Answer: A.3
Explanation: 3 Ducks
ANSWER:A
Question: An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
A.33 1/8%
B.33 1/1%
C.33 1/3%
D.33 2/3%
Answer: C.33 1/3%
Explanation: 675 ---- 225
100 ---- ? => 33 1/3%
Answer:C
Question: One boy forgot the last digit of a 7 digit no. If he randomly dialthe final 3 digits aftercorrectly dialing the 1st 4, then what is the chance of dialing the correct no.?
A.1/890
B.2/465
C.1/1000
D.1/3453
Answer: C.1/1000
Explanation: it is given that last 3 digits are randomly dialed
Then, each of the digit can be selected out of 10 digits in 10 ways. Hence, required probability
= 1/(10)3 = 1/1000
C
Question: The average length of 6 bars is 80 cm. If the average length of one third of the barsis 70 cm, what is the average of the other bars?
A.75.
B.85.
C.90.
D.94.
Answer: B.85.
Explanation: Edit:
Given ( X1 + X2 ... + X6 ) / 6 = 80
( X1 + X2 ... + X6 ) = 480 --> Eq 1.
Now given avg length of one third barsis 70. That means out 6 / 3 = 2 bars.
let the avg length of two barsbe ( X1 + X2 ) / 2 = 70 .
( X1 + X2 ) = 140. --> eq 2.
Now we are asked to find the average of the remaining i.e. ( X3 + X4 + X5 + X6 )
Substitute eq 2 in eq 1 then we get
140 + X3 + X4 + X5 + X6 = 480
=> X3 + X4 + X5 + X6 = 340
Now divide 340 by 4 we get 85.
=> ( X3 + X4 + X5 + X6) / 4 = 85 = avg length of remaining bars.
IMO correct option is B.
Question: Two boys started running simultaneously around a circular track of length 4800 m from the same point at speeds of 60 km/hr and 100 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
A.105
B.106
C.107
D.108
Answer: D.108
Explanation: Time taken to meet for the first time anywhere on the track
= length of the track / relative speed
= 4800 / (60 + 100)5/18 = 4800* 18 / 160 * 5 = 108 seconds.
Answer:D
Question: A person has in is bag 14 notes of Rs. 10 each, 9 notes of Rs. 5 each, 4 notes of Rs. 2 each and 7 notes of Re 1 each. In how many different ways can be contribute to a charitable find?
A.599
B.5999
C.3528
D.600
Answer: B.5999
Explanation: As per the questions,
14 notes of Rs10...so person can contribute
Rs10 note in 14 ways.if person dont give Rs
10 note then number of ways of
contribution are 14+1=15.
9 notes of Rs 5...so person can contribute
Rs5 note in 9 ways.if person dont give Rs
10 note then number of ways of
contribution are 9+1=10.
and so on..
SO the number of ways can be contribute
to a charitable fund
15*10*5*8-1=5999
ANSWER:B
Question: A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.14 per meter. The area of farm is 1200 m2 and the short side is 30 m long. How much would the job cost?
A.1276
B.1680
C.2832
D.1299
Answer: B.1680
Explanation: Explanation:
l * 30 = 1200 è l = 40
40 + 30 + 50 = 120
120 * 14 = 1680
Answer: Option B
Question: Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
A.17 1/6
B.17 1/9
C.17 1/7
D.17 1/5
Answer: C.17 1/7
Explanation: 1/20 + 1/30 - 1/40 = 7/120
120/7
= 17 1/7
Answer:C
Question: If y = 30p, and p is prime, what is the greatest common factor of y and 5p, in terms of p?
A.p
B.2p
C.5p
D.7p
Answer: C.5p
Explanation: Y=30p
other number is 5p
then GCF(30p,5P)=5P; C is the correct answer
Question: Sebastian bought a meal at a restaurant
and left a 15% tip. With the tip, he paid
exactly $36.57. How much did the meal cost without the tip?
A.$31.80
B.$29.91
C.$30.15
D.$30.60
Answer: A.$31.80
Explanation: The tip is a percent increase of 15%, which is 115%. Let x equal the price before the tip.
Thus, 115% of this price equals $36.57:
1.15x = 36.57
Divide both sides by 1.15:=>x=36.57/1.15=31.80
correct answer A)$31.80
Question: A, B and C started a partnership business by investing Rs.27000, Rs.72000, Rs.81000 respectively. At the end of the year , the profit were distributed among them. If C's share of profit is 36000, What is the total profit?
A.70000
B.60000
C.80000
D.90000
Answer: C.80000
Explanation: A:B:C =27000:72000:81000
=3:8:9
Let total profit =p
Then p×9/20=36000
p=(36000×20)/9=80000
Answer is C.
Question: The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?
A.115
B.135
C.155
D.175
Answer: D.175
Explanation: Let the five numbers be P, Q, R, S and T.
=> P + Q + R + S + T = 645.
(P + Q)/2 = 85 and R = 125
P + Q = 170 and R = 125
P + Q + R = 295
S + T = 645 - (P + Q + R) = 350
Average of the last two numbers = (S + T)/2 = 175.
ANSWER:D
Question: A mixture contains alcohol and water in the ratio 4 : 3. If 10 litres of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture
A.15 litres
B.10 litres
C.30 litres
D.20 litres
Answer: D.20 litres
Explanation: Let the quantity of alcohol and water be 4x litres and 3x litres respectively
4x/(3x+10)=4/5
20x=4(3x+10)
8x=40
x=5
Quantity of alcohol = (4 x 5) litres = 20 litres.
Answer is D.
Question: Ice-ColdIce-cream factory produces only tricolor ice-cream products, where each ice-cream has three stripes of different colors. The factory uses the colors pink, purple, orange, silver, blue and white. How many different ice-cream products have at least one stripe out of the following colors: pink, purple or orange (assume that the order of the stripes in a single ice-cream does not matter)?
A.12
B.14
C.18
D.19
Answer: D.19
Explanation: IMO: D - 19
There are 6C3 = 20 ways to create different colored ice cream products. Out of these 20, only 1 (Silver, Blue, white) will not contain at least one of the colors pink, purple, or orange. 20 - 1 = 19.
The other way would be to calculate the number of ice cream products that contain at least one of the colors pink, purple, or orange (PPO).
#1: Pick one out of PPO and two out of SBP: 3C1 * 3C2 = 3 * 3 = 9
#2: Pick two out of PPO and one out of SBP: 3C2 * 3C1 = 3 * 3 = 9
#3: Pick three out of PPO: 3C3 = 1
9 + 9 + 1 = 19
answer is D
Question: When a certain shoe store reduces the price of its best-selling style of shoe by 10 percent, the weekly sales of this style increase by 30 percent. Which of the following best describes the resulting change in the store's weekly revenue from sales of this style of shoe?
A.Revenue decreases by 10%
B.Revenue decreases by 1%
C.There is no change in revenue
D.Revenue increases by 17%
Answer: D.Revenue increases by 17%
Explanation: Old price = 10, old sales = 10 --> old revenue = 100;
New price = 9, new sales = 13 --> new revenue = 117.
Revenue increased by 17%.
Answer: D.
Question: 75% of the guestrooms at the Stagecoach Inn have a queen-sized bed, and each of the remaining rooms has a king-sized bed. Of the non-smoking rooms, 60% have a queen-sized bed. If 28% of the rooms at the Stagecoach Inn are non-smoking rooms with king-sized beds, what percentage of the rooms permit smoking?
A.25%
B.30%
C.50%
D.55%
Answer: B.30%
Explanation: Let x be the number of non-smoking rooms.
Let N be the total number of rooms at the inn.
40% of non-smoking rooms have a king-sized bed.
0.4x = 0.28N
x = 0.7N
The percentage of rooms which permit smoking is 1 - 0.7 = 30%
The answer is B.
Question: The number of ways in which a couple can sit around a table with 6 guests if the couple take consecutive seat is
A.1440
B.720
C.5040
D.None of these
Answer: A.1440
Explanation: Solution
A couple and 6 guests can be arranged in (7 – 1) ways. But in two people forming the couple can be arranged among themselves in 2! ways.
∴ the required number of ways = 6! × 2! = 1440
Answer A
Question: A clock is set at 5 a.m. The clock loses 16 minutes in 24 hours. What will be the true time when the clock indicates 10 p.m. on 4th day?
A.9 p.m
B.10 p.m
C.11 p.m
D.12 p.m
Answer: C.11 p.m
Explanation: Solution
Time from 5 a.m on a day to 10 p.m.on 4th day	= 89 hours.
Now 23 hrs 44 min. of this clock	= 24 hours of correct clock.
Therefore 356 / 15 hrs of this clock	= 24 hours of correct clock.
89 hrs of this clock	= (24 x 15/356 x 89) hrs
= 90 hrs
So, the correct time is	11 p.m.
Answer C
Question: There are 8 teams in a certain league and each team plays each of the other teams exactly twice. If each game is played by 2 teams, what is the total number of games played?
A.15
B.16
C.28
D.56
Answer: D.56
Explanation: Every team plays with 7 teams...so total no of matches = 8 x 7 = 56.
Now, each match is played twice => 56 x 2
But 2 teams play a match => 56 x 2 /2 = 56.
ANS:D
Question: The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is:
A.380
B.395
C.400
D.425
Answer: C.400
Explanation: Let the numbers be x and y.
Then, xy = 9375 and	x	= 15.
y
xy	=	9375
(x/y)	15
y2 = 625.
y = 25.
x = 15y = (15 x 25) = 375.
Sum of the numbers = x + y = 375 + 25 = 400.
Answer:C
Question: Last year, sales at Company Zora were 10% greater in February than in January, 10% less in March than in Feb, 20% greater in April than in March, 10% less in May than in April, and 10% greater in June than in May. In which month were sales closest to Jan?
A.March
B.April
C.May
D.June
Answer: A.March
Explanation: Jan = $100
10% greater in February than in January ---> Feb = $110
10% less in March than in Feb ---> Mar = $99
20% greater in April than in March ---> Apr = $118.80
10% less in May than in April ---> May $106.92
10% greater in June than in May --->Jun = $117.61
Answer : A
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
A.80%
B.49%
C.40%
D.70%
Answer: C.40%
Explanation: The total CP = Rs. 16000 + Rs. 6250
= Rs. 22250 and SP = Rs. 31150
Profit(%) = (31150 - 22250)/22250 * 100
= 40%
Answer:C
Question: Aish started a business investing Rs. 25,000 in 2010, In 2011, he invested an additional amount of Rs. 10,000 and Roshan joined him with an amount of Rs. 35,000. In 2012, Aish invested another additional amount of Rs. 10,000 and Atul joined them with an amount of Rs. 35,000. What will be Roshan’s share in the profit of Rs. 2,40,000 earned at the end of 3 years from the start of the business in 2010?
A.Rs.45000
B.Rs.50000
C.Rs.60000
D.Rs.80000
Answer: D.Rs.80000
Explanation: Explanation :
Aish : Roshan : Atul
= (25000 x 12 + 35000 x 12 + 45000 x 12) : (35000 x 24) : (35000 x 12)
= 1260000 : 840000 : 420000 = 3 : 2 : 1
Roshan's share = Rs. 240000 x 2/6
= Rs. 80000.
Answer : D
Question: If 12 ounces of a strong vinegar solution are diluted with 50 ounces of water to form a seven-percent vinegar solution, what was the concentration of the original solution?
A.19.3%
B.17%
C.36.17%
D.15.5%
Answer: C.36.17%
Explanation: Let X be the quantity of non-vinegar in the strong vinegar solution
Thus vinegar quantity will be 12 - X
When 50 ounces of water were added the percentage of vinegar becomes 7%, thus (12 - X)/62 = 7/100
From this equation X = 7.66
Answer (12-7.66)/12 = 36.17%
ANSWER:C
Question: In what time will a train 175 m long cross an electric pole, it its speed be 144 km/hr?
A.2.58 sec
B.2.91 sec
C.4.37 sec
D.2.9 sec
Answer: C.4.37 sec
Explanation: Speed = 144 * 5/18
= 40 m/sec
Time taken = 175/40
= 4.37 sec.
Answer:C
Question: Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is
A.1/2
B.16/19
C.4/5
D.17/20
Answer: D.17/20
Explanation: Explanation:
n(S) = 20
n(Even no) = 10 = n(E)
n(Prime no) = 8 = n(P)
P(Eá´œP) = 10/20 + 8/20 - 1/20 = 17/20
ANSWER IS D