RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: It takes a boat 3 hours to travel down a river from point A to point B, and 5 hours to travel up the river from B to A. How long would it take the same boat to go from A to B in still water?
A.9 hours and 45 minutes
B.3 hours and 45 minutes
C.1 hours and 45 minutes
D.6 hours and 45 minutes
Answer: B.3 hours and 45 minutes
Explanation: Let: S be the speed of the boat in still water, r be the rate of the water current and d the distance between A and B.
d = 3(S + r) : boat traveling down river
d = 5(S - r) : boat traveling up river
3(S + r) = 5(S - r)
r = S / 4 : solve above equation for r
d = 3(S + S/4) : substitute r by S/4 in equation B
d / S = 3.75 hours = Let: S be the speed of the boat in still water, r be the rate of the water current and d the distance between A and B.
d = 3(S + r) : boat traveling down river
d = 5(S - r) : boat traveling up river
3(S + r) = 5(S - r)
r = S / 4 : solve above equation for r
d = 3(S + S/4) : substitute r by S/4 in equation B
d / S = 3.75 hours = 3 hours and 45 minutes.
correct answer B
Question: At the faculty of Aerospace Engineering, 312 students study Random-processing methods, 232 students study Scramjet rocket engines and 112 students study them both. If every student in the faculty has to study one of the two subjects, how many students are there in the faculty of Aerospace Engineering?
A.424.
B.428.
C.430.
D.432.
Answer: D.432.
Explanation: Students studying Random-processing methods = 312
Students studying Scramjet rocket engines = 232
Students studying them both = 112
Therefore ;
Students studying Only Random processing methods = 312 - 112 = 200
Students Studying Only Scramjet Rocket engines = 232 - 112 = 120
Students Studying Both = 112
Students Studying None = 0 (As mentioned in question that every student in the faculty has to study one of the two subjects)
Total Students in faculty of Aerospace Engineering = Students of Only Random processing methods + Students of Only Scramjet Rocket engines + Both + None
Total number of Students = 200 + 120 + 112 + 0 = 432 ....
Answer D
Question: Of 21 applicants for a job, 14 had at least 5 years of prior work experience, 12 had advanced degrees, and 6 had at least 5 years of prior work experience and advanced degrees. How many of the applicants had neither 5 years of prior work experience nor advanced degrees?
A.1
B.3
C.5
D.7
Answer: A.1
Explanation: Had advanced degrees and 5 years work experience: 6
Only had 5 years work experience: 14-6 = 8
Only had advanced degrees: 12-6 = 6
21-6-8-6=1
Answer: A
Question: Last month, John rejected 0.5% of the products that he inspected and Jane rejected 0.6 percent of the products that she inspected. If total of 0.75 percent of the products produced last month were rejected, what fraction of the products did Jane inspect?
A.1/4
B.1/2
C.5/8
D.5/6
Answer: A.1/4
Explanation: X - fraction of products Jane inspected
(1 - X) - fraction of products John inspected
0.6(X) + 0.5(1-X) = 0.75
0.1X = 0.75 - 0.5
X = 0.25/0.1
X = 1/4
Therefore the answer is A: 1/4.
Question: A person divided his total amount into two parts in the ratio of 3:2. He invested the first part in a bank which gives simple interest at the rate of 10% pa and the second part in another bank which gives simple interest at the rate of 20%. If after 3 years the total interest received by him from both the banks is 42% of the total amount he deposited in both the banks together, what is the total amount he deposited ?
A.Rs. 16000
B.Rs. 18000
C.Rs. 20000
D.Cannot be determined
Answer: D.Cannot be determined
Explanation: Explanation :
Data is not sufficient to find the answer
Answer : Option D
Question: A goods train leaves a station at a certain time and at a fixed speed. After ^hours, an express train leaves the same station and moves in the same direction at a uniform speed of 90 kmph. This train catches up the goods train in 4 hours. Find the speed of the goods train.
A.9kmph
B.52kmph
C.13kmph
D.36kmph
Answer: D.36kmph
Explanation: Let the speed of the goods train be x kmph.
Distance covered by goods train in 10 hours= Distance covered by express train in 4 hours
10x = 4 x 90 or x =36.
So, speed of goods train = 36kmph.
Ans: D
Question: What is the twenty-sixth decimal to the right in the fraction 21/22?
A.1
B.3
C.5
D.7
Answer: C.5
Explanation: 21/22 = 0.9545454545454545
The even-numbered decimal places are 5.
The answer is C.
Question: What is the thousandths digit in the decimal equivalent of 57/5000?
A.0
B.1
C.3
D.5
Answer: B.1
Explanation: 57/5000 = 57 /(5*10^3)
= (57/5) *10^-3
=11.4 * 10^-3
=.0114
Thousandths digit = 1
Answer B
Question: A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
A.11/21
B.10/21
C.3/5
D.2/7
Answer: B.10/21
Explanation: Total number of balls =7
Let S be the sample space.
Then, n(S)	= Number of ways of drawing 2 balls out of 7= 7C2 =(7 x 6)(2 x 1)= 21.
Let E = Event of drawing 2 balls, none of which is blue.
n(E)	= Number of ways of drawing 2 balls out of (2 + 3) balls.
n(E)= 5C2=(5 x 4)(2 x 1)= 10.
P(E) =n(E)=10.
n(S)	21
Let E = Event of drawing 2 balls, none of which is blue.
n(E)	= Number of ways of drawing 2 balls out of (2 + 3) balls.= 5C2=(5 x 4)(2 x 1)= 10.
P(E)=N(E)/N(S)=10/21
So the answer is option B
Question: Find the odd man out. 12, 21, 32, 45, 60, 77, 95
A.45
B.95
C.32
D.21
Answer: B.95
Explanation: 12 + 9 = 21
21 + 11 = 32
32 + 13 = 45
45 + 15 = 60
60 + 17 = 77
77 + 19 = 96
Hence, 95 is wrong. 96 should have come in place of 95
Answer is B
Question: A clock is set right at 8 a.m. The clock gains 10 minutes in 24 hours will be the true time when the clock indicates 1 p.m. on the following day?
A.48 min. past 12
B.48 min. past 17
C.48 min. past 13
D.48 min. past 11
Answer: A.48 min. past 12
Explanation: Time from 8 a.m. on a day to 1 p.m. on the following day = 29 hours.
24 hours 10 min. of this clock = 24 hours of the correct clock.
hrs of this clock = 24 hours of the correct clock.
29 hours of this clock = hrs of the correct clock
= 28 hrs 48 min of the correct clock.
Therefore, the correct time is 28 hrs 48 min. after 8 a.m.
This is 48 min. past 12.
Answer: A
Question: The average marks of 20 students in a class is 100. But a student mark is wrongly noted as 50 instead of 10 then find the correct average marks?
A.78
B.82
C.98
D.91
Answer: C.98
Explanation: correct avg marks = 100+(10-50)/20
avg = 100-2 = 98
Answer is C
Question: Because he’s taxed by his home planet, Mork pays a tax rate of 45% on his income, while Mindy pays a rate of only 20% on hers. If Mindy earned 4 times as much as Mork did, what was their combined tax rate?
A.22%
B.25%
C.28%
D.31%
Answer: B.25%
Explanation: Let x be Mork's income, then Mindy's income is 4x.
The total tax paid is 0.45x + 0.8x = 1.25x
1.25x / 5x = 0.25
The answer is B.
Question: A 6% stock yields 8%. The market value of the stock is:
A.Rs. 48
B.Rs. 75
C.Rs. 96
D.Rs. 133.33
Answer: B.Rs. 75
Explanation: Let the face value of the stock is Rs.100
It yields Rs.6
Market value of the stock=(6/8)*100=Rs.75
ANSWER:B
Question: What percent is 70 of 280?
A.25 %
B.30%
C.35%
D.40%
Answer: A.25 %
Explanation: 70/280 = 1/4
1/4 × 100 = 25 %
A)
Question: A, B and C invests Rs.6000, Rs.5000 and Rs.3000 in a business. After one year C removed his money; A and B continued the business for two more year. If the net profit after 3 years be Rs.4206, then C's share in the profit is?
A.276
B.289
C.400
D.350.5
Answer: D.350.5
Explanation: 6*36 : 5*36 : 3*12
6: 5: 1
1/12 * 4206 = 350.50
Answer: D
Question: The angle between the minute hand and the hour hand of a clock when the time is 9.30, is
A.35°
B.65°
C.45°
D.105°
Answer: D.105°
Explanation: Angle between hands of a clock
When the minute hand is behind the hour hand, the angle between the two hands at M minutes past H 'o clock
=30(H−M/5)+M/2 degree
When the minute hand is ahead of the hour hand, the angle between the two hands at M minutes past H 'o clock
=30(M/5−H)−M/2 degree
Here H = 9, M = 30 and minute hand is behind the hour hand.
Hence the angle
=30(H−M/5)+M/2
=30(9−30/5)+30/2
=30(9−6)+15
=30×3+15 =105°
Answer is D.
Question: The total age of A and B is 14 years more than the total age of B and C. C is how many year younger than A
A.A)11
B.B)12
C.C)13
D.D)14
Answer: D.D)14
Explanation: Explanation:
Given that A+B = 14 + B + C
=> A – C = 14 + B – B = 14
=> C is younger than A by 14 years
Answer: Option D
Question: An art gallery owner is hanging paintings for a new show. Of the three paintings she has to choose from, she can only hang two on the main wall of the gallery. Assuming that she hangs as many as possible on that wall, in how many ways can she arrange the paintings?
A.6
B.30
C.64
D.120
Answer: A.6
Explanation: Arrangment means permutations questions..
3P2 = 3!/2! = 6.
IMO option A is correct answer..
Question: A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
A.1
B.8
C.9
D.7
Answer: B.8
Explanation: 30 --- 3 DS = 10
? ---- 1
18 ---- 3 US = 6
? ---- 1 M = ?
M = (10 + 6)/2 = 8
Answer: B
Question: Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of oxygen are there in 126 grams of water?
A. 16
B. 72
C. 112
D. 128
Answer: C. 112
Explanation: Solution:
We are given that the ratio of hydrogen to oxygen in water, by mass, is 2 : 16. Using our ratio multiplier we can re-write this as 2x : 16x. We can now use these expressions to determine how much oxygen is in 126 grams of water.
2x + 16x = 126
18x = 126
x = 7
Since x is 7, we know that there are 16 x 7 = 112 grams of oxygen in 126 grams of water.
Answer C.
Question: If P and Q are positive integers related by the equation P = 10Q - 5, what is the remainder when P is divided by 5?
A.0
B.1
C.2
D.3
Answer: A.0
Explanation: This question asks what IS...(the answer), so we know that the answer will be definite. As such, we can TEST VALUES to quickly get the solution.
We're told that P and Q are POSITIVE INTEGERS and P = 10Q - 5. We're asked for the REMAINDER when P is divided by 5.
IF....
Q = 1
P = 5
5/5 = 1 remainder 0
Final Answer:
A
Question: P and Q started a business investing Rs. 85,000 and Rs. 15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively ?
A.3 : 4
B.3 : 5
C.15 : 23
D.None of these
Answer: D.None of these
Explanation: Explanation:
P : Q = 85000 : 15000 = 85 : 15 = 17 : 3.
ANSWER IS D
Question: A, B and C can do a work in 9, 30 and 45 days respectively. If they work together, in how many days will they complete the work?
A.5
B.6
C.7
D.8
Answer: B.6
Explanation: One days's work of A, B and C = 1/9 + 1/30 + 1/45
= (10 + 3 + 2)/90 = 1/6
A, B and C together can do the work in 6 days.
Answer:B
Question: The principal that amounts to Rs. 4913 in 3 years at 6 1/4 % per annum C.I. compounded annually, is?
A.Rs. 3096
B.Rs. 4076
C.Rs. 4085
D.Rs. 4096
Answer: D.Rs. 4096
Explanation: Principal = [4913 / (1 + 25/(4 * 100))3]
= 4913 * 16/17 * 16/17 * 16/17 = Rs. 4096.
ANSWER:D
Question: Due to reduction of 25% in price of oranges a customer can purchase 4 oranges more for Rs. 16. what is original price of an orange?
A.1.39
B.1.33
C.1.31
D.1.32
Answer: B.1.33
Explanation: Explanation:
Recall it is based on inverse proportion or product constancy concept.
Reducion in price increase in amount
25% \inline \left ( \frac{1}{4} \right )
\inline \left ( \frac{1}{3} \right ) 33.33% = 4 oranges
It means original number of oranges = 4 x 3 = 12
\therefore original price of oranges = \inline \frac{16}{12} = Rs. 1.33
Answer: B) Rs 1.33
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?
A.15 kmph
B.17 kmph
C.14 kmph
D.18 kmph
Answer: C.14 kmph
Explanation: The ratio of the times taken is 2:1.
The ratio of the speed of the boat in still water to the speed of the stream = (2+1)/(2-1) = 3/1 = 3:1
Speed of the stream = 42/3 = 14 kmph.
Answer: C
Question: The cost price of 7 articles is equal to the selling price of 5 articles. What is the profit percent?
A.10%
B.20%
C.30%
D.40%
Answer: D.40%
Explanation: 5*SP = 7*CP
SP = 1.4*CP
The profit percent is 40%.
The answer is D.
Question: If paint costs $3.20 per quart, and a quart covers 60 square feet, how much will it cost to paint the outside of a cube 10 feet on each edge?
A.$ 1.60
B.$ 32.00
C.$ 96.00
D.$108.00
Answer: B.$ 32.00
Explanation: total surface area = 6a^2 = 6*10*10 = 600
each quart covers 20 sqr ft
thus total number of quarts = 600/60 = 10
cost will be 10*3.2 = $32
Ans: B
Question: Sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum. Sandy attempts 30 sums and obtains 55 marks. How many sums did Sandy get correct?
A.19
B.21
C.23
D.25
Answer: C.23
Explanation: Let x be the correct sums and (30-x) be the incorrect sums.
3x - 2(30-x) = 55
5x = 115
x = 23
The answer is C.
Question: If P : Q = 3 : 4 and Q : R = 5 : 6, then P : Q : R is:
A.3 : 4 : 6
B.3 : 5 : 6
C.15 : 20 : 24
D.5 : 6 : 3
Answer: C.15 : 20 : 24
Explanation: P:Q=3:4, Q:R=5:6, P:Q:R=3×5:5×4:6×4
⇒ 15:20:24
Answer: C.
Question: At the end of the first quarter, the share price of a certain mutual fund was 30 percent higher than it was at the beginning of the year. At the end of the second quarter, the share price was 75 percent higher than it was at the beginning of the year. What was the percent increase in the share price from the end of the first quarter to the end of the second quarter?
A.20%
B.25%
C.30%
D.34.6%
Answer: D.34.6%
Explanation: Another method is to use the formula for 2 successive percentage changes:
Total = a + b + ab/100
75 = 30 + b + 30b/100
b = 34.6
Answer (D)
Question: A train 1200 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
A.288 m
B.256 m
C.100 m
D.278 m
Answer: C.100 m
Explanation: Speed = 78 * 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of the train be x meters.
Then, (1200 + x)/60
= 65/3
x = 500 m.
Answer:C
Question: A tank is 25m long 12m wide and 6m deep. The cost of plastering its walls and bottom at 45 paise per sq m is
A.Rs. 234.80
B.Rs. 334.80
C.Rs. 434.80
D.Rs. 534.80
Answer: B.Rs. 334.80
Explanation: Explanation:
Area to be plastered = [2(l + b) Ã— h] + (l Ã— b)
= [2(25 + 12) Ã— 6] + (25 Ã— 12) = 744 sq m
Cost of plastering = 744 Ã— (45/100) = Rs.334.80 Answer: B
Question: 30 square stone slabs of equal size were needed to cover a floor area of 120 sq.m. Find the length of each stone slab?
A.120cm
B.200cm
C.88cm
D.666cm
Answer: B.200cm
Explanation: Area of each slab
=120/30m2=4m2
Length of each slab √4=2m=200cm
B
Question: For what value of x between − 5 and 5, inclusive, is the value of x^2 − 10x + 16 the greatest?
A.− 5
B.− 2
C.0
D.2
Answer: A.− 5
Explanation: we can see from the statement that two terms containing x, x^2 will always be positive and -10x will be positive if x is -ive..
so the equation will have greatest value if x is -ive, and lower the value of x, greater is the equation.
so -5 will give the greatest value..
ans A
Question: 1397 x 1397
A.1951609
B.1981709
C.18362619
D.2031719
Answer: A.1951609
Explanation: 1397 x 1397	= (1397)2
= (1400 - 3)2
= (1400)2 + (3)2 - (2 x 1400 x 3)
= 1960000 + 9 - 8400
= 1960009 - 8400
= 1951609.
Answer: Option A
Question: How many 9's are there preceded by 5 but not followed by 1?
5 9 3 2 1 7 4 2 5 9 7 4 6 1 3 2 8 7 4 1 3 8 3 5 9 1 7 4 3 9 5 8 2 0 1 8 7 4 6 3
A.4
B.2
C.6
D.8
Answer: B.2
Explanation: 5 9 3
5 9 7
Only at these places 2 is preceded by 5 but not followed by 1
Answer: B
Question: A man sells a horse for Rs.740 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
A.587
B.679
C.767
D.820
Answer: D.820
Explanation: CP = SP + 1CP = SP - g
740 + x = 980 - 2x
3x = 240 => x
= 80
CP = 740 + 80
= 820
Answer:D
Question: Every year Taylor goes to the same carnival, and he attempts to shoot a basketball into a small hoop, hoping that he will win a ten-foot tall teddy bear. If the probability that Taylor does not make a basket is 1/3, what is the probability that Taylor makes exactly one basket in three tries?
A.1/9
B.2/9
C.2/5
D.3/5
Answer: B.2/9
Explanation: Probability of basket = 2/3
Probability of no basket = 1/3
Required probability=3* 2/3*1/3*1/3
= 2/9
B is the answer .
Question: 100 people are standing in a circle. The person standing at number 1 is having a sword. He kills the person next to him with the sword and then gives the sword to the third person. This process is carried out till there is just one person left.
Can you find out who survives?
A.93
B.73
C.90
D.75
Answer: B.73
Explanation: B
The person on 73rd number will survive.
Till the number is the power of 2, the last person to survive will be the one who started it. But since the number here is not the power of 2, we will take the greatest power of 2 that is less than the number which is 64.
100 - 64 = 36
36 people are killed as 2, 4, 6, ..., 72. Thus the sword will now be given to the 73rd person. Now he is the first person to start in the remaining 64 people. Thus he will be the one to survive.
Question: Total Rs.700 are divided among 3 persons (A, B, and C). A gets 1/2 of B and B gets 1/2 of C. How much C have?
A.300
B.400
C.500
D.600
Answer: B.400
Explanation: A gets 100 Rs.
B gets 200 Rs.
C gets 400 Rs.
A=B/2
B=c/2
A+B+C=700
(B/2)+B+(2B)=700
B=200
A=B/2=200/2=100
C=2B=2*200=400
ANSWER:B
Question: The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?
A.69
B.78
C.96
D.Cannot be determined
Answer: D.Cannot be determined
Explanation: Let the ten's digit be x and unit's digit by y
Then, x + y = 15 and x - y = 3 or y - x = 3
Solving x + y = 15 and x - y = 3, we get: x = 9, y = 6
Solving x + y = 15 and y - x = 3, we get: x = 6, y = 9
So, the number is either 96 or 69.
Hence, the number cannot be determined.
ANSWER:D
Question: If selling price is doubled, the profit triples. Find the profit percent.
A.100 %
B.50 %
C.25 %
D.18 %
Answer: A.100 %
Explanation: Explanation:
Let C.P. be Rs. x and S.P. be Rs. y.
Then, 3(y - x) = (2y - x) y = 2x.
Profit = Rs. (y - x) = Rs. (2x - x) = Rs. x.
Profit % =(x/x*100)%=100%
Answer:A
Question: How much water must be added to 60 litres of milk at 1 1⁄2 litres for 20 so as to have a mixture worth 10 2⁄3 a litre?
A.10 litres
B.12 litres
C.15 litres
D.18 litres
Answer: C.15 litres
Explanation: C.P. of 1 litre of milk = (20 × 2⁄3) = 40⁄3
∴ Ratio of water and milk = 8⁄3 : 32⁄3 = 8 : 32 = 1 : 4
∴ Quantity of water to be added to 60 litres of milk
= (1⁄4 × 60) litres = 15 litres.
Answer C
Question: What is the least value of k. So that 123k578 is divisible by 11.
A.8
B.7
C.5
D.6
Answer: A.8
Explanation: Explanation:
The Difference of the sum of the digits at odd place and the sum of the digits at even place of the number, is either 0 or a number divisible by 11.
(1 + 3 + 5 + 8) - (2 + k + 7) = 17 - 9 - k = 8 - k
Therefore if k = 8, then the value become zero.
k = 8 is the least value
so that 123k578 is divisible by 11.
Answer: Option A
Question: Brindavan Express leave Chennai Central Station every day at 07.50 am and goes to Bangalore City Railway station. This train is very popular among the travelers. On 25th July 2012 number of passengers traveling by I class and II class was in the ratio 1:4. The fare for this travel is in the ratio 3:1. The total fare collected was Rs. 224000/. (Rs. Two lakhs twenty four thousand only). What was the fare collected from I class passengers on that day?
A.Rs.32000
B.Rs. 96000
C.Rs.128000
D.Rs. 5,00,000
Answer: B.Rs. 96000
Explanation: Solution: Let the number of passenger traveling by first class be x.
Then, number of passenger traveling by second class will be 4x.
But the fare is in the ratio 3:1
In other words, if 3y fare is collected per I class passenger, y would be collected per II class passenger.
Fares of I class passengers : Fares of II class passengers
= x*3y : 4x*y
= 3:4 The above ratio can be interpreted as follows.
If total fare is 3+4 = 7, then I class passengers should pay Rs. 3
Similarly, we can calculate the fare of I class passengers when total was 224000
Total Fare I Class Fare
7 3
224000 ?
= 224000*(3/7) = Rs. 96000.
Answer: Option B
Question: There is a square with sides of 13. What is the area of the biggest circle that can be cut out of this square?
A.132.73
B.231.92
C.530.93
D.113.1
Answer: A.132.73
Explanation: Area of a circle = A=Ï€r^2
Square is 13 wide, so circle's diameter would be 13, and radius would be 6.5
A=Ï€6.5^2 which is approximately 132.73
Answer is A
Question: A cycle is bought for Rs.600 and sold for Rs.1080, find the gain percent?
A.22
B.20
C.90
D.80
Answer: D.80
Explanation: 600 ---- 180
100 ---- ? => 80%
Answer:D
Question: Ratio between Rahul and Deepak is 4:3, After 10 Years Rahul age will be 26 years. What is Deepak present age.
A.12
B.15
C.20
D.22
Answer: A.12
Explanation: Explanation:
Present age is 4x and 3x,
=> 4x + 10 = 26 => x = 16
So Deepak age is = 3(4) = 12
Option A
Question: Bill’s compact disc player randomly plays a song, so that no song is repeated before the entire album is played. If Bill plays a disc with 15 songs, what are the chances that the third song he hears will be his favorite?
A.1/15
B.1/12
C.1/11
D.3/14
Answer: A.1/15
Explanation: The player plays the songs on the album at random, so there are 15 songs that can be the third one played. Only 1 of these ways will result in Bill's favorite song being the third one played.
Total outcomes ==> 15
Total positive outcomes ==> 1
Correct answer is A) 1/15
Question: Out of three numbers, the first is twice the second and is half of the third. If the average of the three numbers is 84, the three numbers in order are?
A.36, 72, and 144
B.36, 144, and 72
C.72, 36, and 144
D.72, 144, and 36
Answer: C.72, 36, and 144
Explanation: Let the numbers be 2x, x and 4x
(2x + x + 4x)/3 = 84
7x/3 = 84
x = 36
The numbers in order are 72, 36, and 144
The answer is C.
Question: 8 men can dig a pit in 20 days. If a work half as much again as a boy, then 4 men and 9 boys can dig a similiar pit. Find the days for 15 days can dig?
A.20
B.14
C.16
D.10
Answer: C.16
Explanation: 1 man=3/2 boys.
(4 men +9 boys)=15 boys.
8men=(3/2)*8=12 boys.
now, 12 boys can dig the bit in 20 days.
15 boys can dig=20*12/15=16 days.
The option C is answer
Question: If the letters of the word PLACE are arranged taken all at a time, find how many do not start with AE?
A.114
B.124
C.130
D.134
Answer: A.114
Explanation: Total no'of arrangements 5P5 = 5! = 120
no'of arrangements start with AE = 1 × 6 = 6
no'of arrangements which do not start with AE = 120 - 6 = 114
A)
Question: The side of a square is increased by 30% then how much % does its area increases?
A.30.00 %
B.36.25 %
C.69.00 %
D.52.25 %
Answer: C.69.00 %
Explanation: a = 100 a2 = 10000
a = 130 a2 = 16900
----------------
10000 --------- 6900
100 -------? => 69.00 %
Answer:C
Question: In a bag, there are 4 white, 1 brown and 5 red pens. One pen is picked up randomly. What is the probability that it is neither white nor red?
A.1/5
B.1/10
C.1/2
D.1/3
Answer: B.1/10
Explanation: Explanation :
Neither white nor red means the pen drawn is brown.
Total number of outcomes = (4+1+5) = 10.
Number of Favourable outcomes = 1 = Number of brown pens.
Hence, Probability of the event = 1/10.
Answer : B
Question: A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?
A.3/13
B.4/31
C.5/26
D.6/31
Answer: C.5/26
Explanation: P(Both are red),
=6C213C2=6C213C2
=5/26
C
Question: If 12 men and 16 boys can do a piece of work in 5 days and 13 men together will 24 boys can do it in 4 days. Compare the daily work done by a man with that of a boy?
A.2:5
B.2:9
C.2:4
D.2:1
Answer: D.2:1
Explanation: 12M + 16B ----- 5 days
13M + 24B ------- 4 days
60M + 80B = 52M + 96B
8M = 16B => 1M = 2B
M: B = 2:1
Answer:D
Question: How much is 75% of 40 is greater than 4/5 of 25?
A.22
B.67
C.10
D.12
Answer: C.10
Explanation: (75/100) * 40 – (4/5) * 25
= 10
Answer: C