RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A one-foot stick is marked in 1/4 and 1/5 portion. How many total markings will there be, including the end points?
A.18
B.16
C.13
D.9
Answer: D.9
Explanation: LCM of 20 = 20
1/4 marking are (Table of 5) 0...... 5 ......10..... 15......20
(Total = 5)
1/5 marking are (Table of 4) 0 ....... 4 ...... 8...... 12........ 16......20 (Total = 6)
Overlapping markings are 0 ........ 20 (Total = 2)
Total markings = 5+6-2 = 9
Answer = D
Question: The sum of a rational number and its reciprocal is 13/6. Find the number.
A.4/3 or 3/4
B.0
C.1/3 or 3
D.2/3 or 3/2
Answer: D.2/3 or 3/2
Explanation: Let the number be x.
Then, x + (1/x) = 13/6 => (x2 + 1)/x = 13/6 => 6x2 – 13x + 6 = 0
=> 6x2 – 9x – 4x + 6 = 0 => (3x – 2) (2x – 3) = 0
	x = 2/3 or x = 3/2
Hence the required number is 2/3 or 3/2.
Answer is D.
Question: The average of 11 numbers is 10.6. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?
A.9
B.9.2
C.10
D.14.8
Answer: D.14.8
Explanation: Explanation:
1 to 11 = 11 * 10.6 = 116.6
1 to 6 = 6 * 10.5 = 63
6 to 11 = 6 * 11.4 = 68.4
63 + 68.4 = 131.4 – 116.6 = 14.8
6th number = 14.8
D)
Question: Ganesh is one year more than twice Kumar's age. The sum of their age is 7. How old each?
A.6, 4
B.5, 2
C.2, 5
D.7, 3
Answer: B.5, 2
Explanation: Explanation:
Let the present ages of Anand and Bala be 'a' and 'b' respectively.
Given a - 2b = 1 --- (1)
a+b = 7----(2) =>b =7-a
Substituting b = 7-a in first equation,
3a-14 = 1 => a = 5
=> b = 2
Answer: B
Question: A man can row upstream at 35 kmph and downstream at 45 kmph, and then find the speed of the man in still water?
A.32 kmph
B.34 kmph
C.40 kmph
D.45 kmph
Answer: C.40 kmph
Explanation: US = 35
DS = 45
M = (35 + 45)/2 = 40
Answer:C
Question: which of the following is equivalent to (1-cos^2θ)/cos^2θ
A.cos^2θ
B.sin^2θ
C.tan^2θ
D.sec^2θ
Answer: C.tan^2θ
Explanation: cos 2θ = cos2 θ − sin2 θ = 2 cos2 θ − 1=1 − 2 sin2 θ
tan^2θ
C
Question: The average (arithmetic mean) of the even integers from 0 to 120 inclusive is how much greater than the average (arithmetic mean) of the even integers from 0 to 60 inclusive?
A.10
B.15
C.20
D.30
Answer: D.30
Explanation: The sum of even numbers from 0 to N is 2 + 4 +...+ N
= 2(1 + 2 + ...+ N/2)
= 2(N/2)(N/2+1)/2 = (N/2)(N/2+1)
The average is (N/2)(N/2+1)/(N/2+1) = N/2
The average of the even numbers from 0 to 120 is 120/2 = 60
The average of the even numbers from 0 to 60 is 60/2 = 30
The answer is D.
Question: A certain clock marks every hour by striking a number of times equal to the hour,and the time required for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between the beginning of the first stroke and the end of the last stroke is 66 seconds. at 12:00 ,how many seconds elapse between the beginning of the first stroke and the end of the last stroke?
A.A.138
B.B.50
C.C.48
D.D.46
Answer: A.A.138
Explanation: At 6:00 it'll chime 6 times. If we assume that the time taken to chime is x, then time between chimes is also x. So you have 6 chimes, which is 6x and 5 time intervals between chimes. This means that 11x = 66 seconds. Thus x = 6 seconds.
By a similar logic, at 12:00, there are 12 chimes and 11 intervals so the total time is (12+11)x = 23x = 138 seconds.
Answer A
Question: The sum of three consecutive even numbers is 246. What are the numbers?
A.80,82,84
B.65,68,71
C.45,47,42
D.100,102,49
Answer: A.80,82,84
Explanation: First x Make the first x
Second x+2 Even numbers, sowe add 2 to get the next
Third x+4 Add 2more (4 total) to get the third
F +S +T =246 SummeansaddFirst (F)plusSecond(S)plusThird(T)
(x)+(x+2)+(x+4)=246 Replace each F , S, and T withwhatwe labeled them
x+x+2+x+4=246 Here the parenthesis are not needed
3x+6=246 Combine like terms x+x+x and 2+4
−6 −6 Subtract 6 fromboth sides
3x=240 The variable ismultiplied by 3
3 3 Divide both sides by 3
x=80 Our solution for x
First 80 Replace x in the origional listwith 80.
Second (80)+2=82 The numbers are 80, 82, and 84.
Third ( 80)+4=84
correct answer A
Question: 0,1,2,0.5,2,3,5,1,2,0,2,1,4,2,3,?
A.5
B.4
C.3
D.2
Answer: D.2
Explanation: take first four digits from series: 0,1,2,0.5
0+1=1,1/2=0.5
2,3,5,1
2+3=5,5/5=1
2,0,2,1
2+0=2,2/2=1
4,2,3,?
4+2=6,6/3=2
ANSWER:D
Question: A fraction in reduced form is such that when it is squared and then its numerator is reduced by 33(1/3)% and denominator is reduced to 20%, its result is twice the original fraction. The sum of numerator and denominator is:
A.8
B.13
C.17
D.15
Answer: A.8
Explanation: Solution: Let the fraction be x/y.
When fraction is squared its numerator is reduced by 33(1/3) and denominator is reduced by 20%.
According to question,
(x/y)2 * 33(1/3)%/20% = 2(x/y).
Or, (x/y)2 * (2/3)/(1/5) = 2(x/y).
Or, x/y = 3/5. Sum of numerator and denominator is,
(x+y) = 3+5
= 8.
Answer: Option A
Question: A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track at the average speed of 6 miles per hour. If t represents the number of hours it took Johanna to walk completely around the lake, which of the following is a correct statement?
A.0.5< t < 1.5
B.1.75< t < 2.0
C.2.0 < t < 2.5
D.2.5 < t < 3.0
Answer: A.0.5< t < 1.5
Explanation: D=2, and R=1
circumference thus is 2pi miles
we know that she walked 6mph
knowing the formula rt=D, we can deduce that t= D/r
D is 2pi miles and r is 6mph
t = 2pi/6
pi can be rewritten as 22/7
2*22/7 = 44/7 and multiply this by 1/6 = 44/42. This is greater than 0.5, but less than 1.5, therefore, 0.5<t<1.5. Answer choice A.
Question: It was calculated that 75 men could complete a piece of work in 20 days. When work was scheduled to commence, it was found necessary to send 25 men to another project. How much longer will it take to complete the work?
A.30 days
B.23 days
C.45 days
D.54 days
Answer: A.30 days
Explanation: One day work = 1 / 20
One man’s one day work = 1 / ( 20 * 75)
Now:
No. Of workers = 50
One day work = 50 * 1 / ( 20 * 75)
The total no. of days required to complete the work
= (75 * 20) / 50 = 30
Answer:A
Question: Rahul went to a shop and bought things worth Rs. 26, 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.Rs 15
B.Rs 12.10
C.Rs 20.70
D.Rs 16.80
Answer: C.Rs 20.70
Explanation: Explanation :
Let the cost of the tax items = x
Given that tax rate = 6%
Cost of tax items, x*(6/100) = 30/100
x = 5 rs
Now non taxable item = total cost - cost for taxable item - tax
= 26 - 5 - 0.30
=20.70
Answer : C
Question: What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?
A.30 ways
B.40 ways.
C.50 ways.
D.60 ways.
Answer: A.30 ways
Explanation: Explanation:
The number of ways to select three men and two women such that one man and one woman are always selected = Number of ways selecting two men and one woman from men and five women
= ⁴C₂ * ⁵C₁ = (4 * 3)/(2 * 1) * 5
= 30 ways.
A)
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 46, the dividend is:
A.5336
B.5340
C.5342
D.5345
Answer: A.5336
Explanation: Divisor = (5 * 46) = 230
= 10 * Quotient = Divisor
=> Quotient = 230/10 = 23
Dividend = (Divisor * Quotient) + Remainder
Dividend = (230 * 23) + 46 = 5336.
A
Question: A, B and C invested Rs.6000, Rs.4000 and Rs.10000 respectively, in a partnership business. Find the share of A in profit of Rs.11000 after a year?
A.3300
B.1100
C.2667
D.600
Answer: A.3300
Explanation: Explanation:
6000:4000:10000
3:2:5
3/10 * 11000 = 3300
Answer: A
Question: a,b,c,d,e are distinct numbers. if (75-a)(75-b)(75-c)(75-d)(75-e)=2299 then a+b+c+d= ?
Hint:2299 is divisible by 11.
A.292, 306, 270, 282, 289
B.292, 306, 270, 282, 280
C.292, 306, 270, 282, 2228
D.292, 306, 270, 282, 212
Answer: B.292, 306, 270, 282, 280
Explanation: 2299 = 11×11×19×1×1=11×−11×19×−1×1=11×11×19×1×1=11×−11×19×−1×1=
Two of the terms in the given expression should equal to 1. As all the digits are distinct, two of the terms should be negative.
One possible solution = (75 - 64)(75 - 56)(75 - 86)(75 - 74)(75 - 76)
Then a + b + c + d + e = 64 + 56 + 86 + 74 + 76 = 356
But as the sum of only 4 terms was asked, we have to subtract one term.
So given answer can be one of 292, 306, 270, 282, 280
Answer:B
Question: If A takes x days to do a work then B takes 2x days to do the same work then with in how many day's A will alone complete this work ?
A.27
B.23
C.24
D.25
Answer: A.27
Explanation: 1/x+1/2x = 1/18 = > 3/2x = 1/18 = > x = 27 days. Hence, A alone can finish the work in 27 days.
Answer:A
Question: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
A.2888
B.3000
C.2887
D.27781
Answer: B.3000
Explanation: 60*5:36*6:75*3
100: 72: 75
100/247 * 7410 = 3000
Answer: B
Question: How many seconds will a 250 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
A.12
B.30
C.40
D.15
Answer: D.15
Explanation: Speed of train relative to man = 63 - 3 = 60 km/hr.
= 60 * 5/18 = 50/3 m/sec.
Time taken to pass the man = 250 * 3/50 = 15 sec.
Answer: Option D
Question: Raman mixed 24 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?
A.129
B.287
C.189
D.188
Answer: C.189
Explanation: Explanation:
CP per kg of mixture = [24(150) + 36(125)]/(24 + 36) = Rs. 135
SP = CP[(100 + profit%)/100]
= 135 * [(100 + 40)/100] = Rs. 189.
Answer:C
Question: If the sum of two numbers is 45 and the L.C.M and sum of the reciprocal of the numbers are 120 and 11/120 then HCF of numbers is equal to:
A.55
B.5
C.10
D.45
Answer: B.5
Explanation: Let the numbers be a and b and HCF is x,
Then, a + b = 45 and ab = x * 120 = 120x
Required sum = 1/a + 1/b = (a + b)/ab = 45/120x = 11/120.
x=5.
ANSWER:B
Question: Find the product of the localvalue and absolutevalue of 7 in 20768?
A.9200
B.1100
C.4900
D.3200
Answer: C.4900
Explanation: Local value of 7 = 7 x 100 = 700
Place value of 7 = 7
There fore = 7 x 700 = 4900
C
Question: Find the odd man out. 187, 264, 346, 473, 682, 781
A.187
B.346
C.781
D.682
Answer: B.346
Explanation: In all numbers except 346, the middle digit is the sum of other two digits.Answer is B
Question: There are 1000 military people in a division of the army. There is one Officer for every 24 soldiers in that division. Now the question is how many officers are in the division?
A.22
B.35
C.40
D.73
Answer: C.40
Explanation: C
40
24 soldiers + 1 officer makes a group of 25 people. Now number of such groups = 1200/25 = 40.
Question: 8^b + 8^b + 8^b + 8^b + 8^b + 8^b + 8^b + 8^8 =
A.7^b
B.8^(b + 1)
C.7^(7b)
D.8^b
Answer: B.8^(b + 1)
Explanation: Easy one.
8*8^b = 8^(b+1)
Ans. B
Question: If 4/p=8 & 4/q=18 then p-q=?
A.5/18
B.6/24
C.7/24
D.8/24
Answer: A.5/18
Explanation: p=4/8 , q=4/18=>q=2/9
therefore
p-q=(1/2)-(2/9)=5/18
ANSWER:A
Question: Seven different objects must be divided among three persons. In how many ways this can be done if at least one of them gets exactly one object.
A.223
B.776
C.287
D.196
Answer: D.196
Explanation: Division of m+n+p objects into three groups is given by (m+n+p)!m!×n!×p!(m+n+p)!m!×n!×p!
But 7 = 1 + 3 + 3 or 1 + 2 + 4 or 1 + 1 + 5
So The number of ways are (7)!1!×3!×3!×12!(7)!1!×3!×3!×12! + (7)!1!×2!×4!(7)!1!×2!×4! + (7)!1!×1!×5!×12!(7)!1!×1!×5!×12! = 70 + 105 + 21 = 196
Answer:D
Question: How many four letter combinations can be formed using the letters of the word MISTY?
A.15
B.80
C.120
D.180
Answer: C.120
Explanation: The number of letters in the given word is five.
The number of four letter combinations that can be formed using these five letters is
= 5 * 4 * 3 * 2 = 120.
Answer: C
Question: The G.C.D. of 1.08, 0.36 and 0.9 is:
A.0.03
B.0.9
C.0.18
D.0.108
Answer: C.0.18
Explanation: EXPLANATION
Given numbers are 1.08, 0.36 and 0.90. H.C.F. of 108, 36 and 90 is 18,
H.C.F. of given numbers = 0.18.
Answer C
Question: 45 workers work 8 hours to dig a hole 30 meters deep. How many extra workers should be hired to dig another hole 45 meters deep by working for 6 hours?
A.25
B.35
C.45
D.55
Answer: C.45
Explanation: 45 workers * 8 hours / 30 meters = x * 6 / 45
x = 90 total workers
90 - 45 = 45 new workers
The answer is C.
Question: Carmelo and LeBron participate in a eight-person footrace on the basketball court during All-Star Weekend. If all eight contestants finish (including Charles Barkley) and there are no ties, how many different arrangements of finishes are there in which Carmelo defeats LeBron?
A.20160
B.2520
C.720
D.120
Answer: A.20160
Explanation: 8! = 40320
40320/2=20160 half the time carmelo is in front, vice versa
Answer:
(A) 20160
Question: Find the value of x from this equation? 7(x - 1) = 21
A.1
B.2
C.4
D.5
Answer: C.4
Explanation: 1. Divide both sides by 7:
2. Simplify both sides:
x - 1 = 3
3. Add 1 to both sides:
x - 1 + 1 = 3 + 1
4. Simplify both sides:
x = 4
C
Question: Jim wishes to buy 3 gifts that cost 19 dollars, 9 dollars, and 12 dollars. He has 1/4 of the money
he needs. How much more money must he earn in order to buy the gifts?
A.$57
B.$47
C.$7
D.$30
Answer: D.$30
Explanation: $19 + $9 + $12 = $40 needed
1/4 x $40 = $10 on hand
$40 - $10 = $30 to earn
correct answer D
Question: A taxi charges v dollars for the first two miles and c cents per quarter mile for every mile after the first two. Which equation describes cost of a taxi ride of n miles in dollars.
A.vn – c/8(100)
B.cv + 4n-8/200
C.v + (4cn-8c)/100
D.v + 100cn/4
Answer: C.v + (4cn-8c)/100
Explanation: This is about as complicated as these types of problems come, but it is essentially the same as any problem which has an initial cost which is added to a dependent additional cost. Looking at the problem, we notice that the cost v is added to the mile dependent cost, which is some combination of the other terms listed in the problem. With just that knowledge we can eliminate all but two of the answer choices! Choices (A), (B), and (E) either do some strange calculation with the initial cost v, or subtract the additional cost from v. Both of these circumstances would be next to impossible if there is an initial cost being added to another cost. Thus, we only have to choose between choice (C) and choice (D). We can easily find the right answer by plugging in real numbers and checking which choice yields a correct answer. We can also see that answer choice (D) seems to be multiplying the cost in cents by 100, which, if the trip was 6 miles and the charge per mile was 25 cents, would make the taxi cost an additional $3750! This seems impossible, and leaves only the correct answer choice, (C).
Question: A student needs 60% of the marks on a test to pass the test. If the student gets 80 marks and fails the test by 40 marks, find the maximum marks set for the test.
A.180
B.200
C.220
D.240
Answer: B.200
Explanation: 60% = 120 marks
1% = 2 marks
100% = 200 marks
The answer is B.
Question: If anangletis defined as 1 percent of 1 degree, then how many anglets are there in a third circle?
A.0.36
B.3.6
C.12,000
D.3,600
Answer: C.12,000
Explanation: 1 degree * 1/100 = 1 anglet
So 1 degree = 100 anglets
=> 120 degrees = 12000 anglets
Answer - C
Question: In a division sum, the remainder is 8 and the divisor is 6 times the quotient and is obtained by adding 3 to the thrice of the remainder. The dividend is:
A.110.6
B.129.5
C.130.5
D.86
Answer: B.129.5
Explanation: Diver = (8*3)+3=27
6* Quotient = 27
Quotient = 4.5
Dividend = (Divisor * Quotient) + Remainder
Dividend = ( 27 * 4.5) + 8 = 129.5
B
Question: Find two numbers whose sum is 26 and whose product is 165.
A.13 and 13
B.10 and 16
C.11 and 15
D.14 and 12
Answer: C.11 and 15
Explanation: Let the two numbers be a and b and use the sum and product to write two equations with two unknowns
a + b = 26 and a b = 165
Solve the first equation for b
b = 26 - a
Substitute b in the equation a b = 165 by 26 - a
a (26 - a) = 165
Write the above equation in standard form
- a 2 + 26 a - 165 = 0
Solve the above equation for a
a = 11 and a = 15.
Use b = 26 - a to find b
when a = 11 , b = 15 and when a = 15 , b = 11.
The two numbers are 11 and 15.
correct answer C
Question: If taxi fares were $2.00 for the first 1/5 mile and $0.60 for each 1/5 mile there after, then the taxi fare for a 8-mile ride was
A.$2.40
B.$25.20
C.$25.40
D.$25.60
Answer: C.$25.40
Explanation: In 8 miles , initial 1/5 mile charge is $2
rest of the distance = 8 - (1/5) = 39/5
rest of the distance charge = 39(0.6) = $23.4 (as the charge is 0.6 for every 1/5 mile)
=> total charge for 4 miles = 2+23.4 = 25.4
Answer is C
Question: In a certain archery competition, points were awarded as follows: the first place winner receives 11 points, the second place winner receives 7 points, the third place winner receives 5 points and the fourth place winner receives 2 points. No other points are awarded. John participated several times in the competition and finished first, second, third, or fourth each time. The product of all the points he received was 30800. How many times did he participate in the competition?
A.5
B.6
C.7
D.8
Answer: D.8
Explanation: 30800 = 2*2*2*2*5*5*7*11
John participated 8 times.
The answer is D.
Question: The average of 25 results is 18. The average of first 12 of them is 10 and that of last 12 is 20. Find the 13th result?
A.60
B.75
C.90
D.100
Answer: C.90
Explanation: 13th result = sum of 25 results - sum of 24 results
= 18*25-12*10-12*20
= 450-120-240
= 90
Answer is C
Question: A cistern is normally filled in 8 hrs,but takes 2 hrs longer to fill because of a leak on its bottom,if Cistern is full ,how much time citern would empty?
A.10 hours
B.20 hours
C.30 hours
D.40 hours
Answer: D.40 hours
Explanation: If leakage/hour=1/x, then 1/8 -1/x= 1/10, solving 1/x=1/40
So in 40 hours full cistern will be empty.
ANSWER:D
Question: The speed at which a man can row a boat in still water is 14 kmph. If he rows downstream, where the speed of current is 2 kmph, what time will he take to cover 40 metres?
A.16 seconds
B.34 seconds
C.9 seconds
D.12 seconds
Answer: C.9 seconds
Explanation: Speed of the boat downstream = 14 + 2 = 16 kmph
= 16 * 5/18 = 40/9 m/s
Hence time taken to cover 40 m = 40*9/40
= 9 seconds.
Answer: C
Question: In the following list of numerals, how many 3s are followed by 3, but NOT preceded by 3?
2 4 6 3 3 1 5 7 8 3 3 3 4 6 2 3 3 3 3 9 7 2 3
A.1
B.2
C.3
D.4
Answer: C.3
Explanation: 633
833
233
Ans:3
ANSWER:C
Question: Farm A had an average output of 300 kgs of rice per acre. Farm B had an average output of 350 kgs of rice per rice. It is known that Farm B's area is 15 acres less than Farm A's. It is also known that Farm B in total harvested 3000 kgs of rice more than Farm A. What is the area of Farm A?
A. 130 acres
B. 135 acres
C. 145 acres
D. 160 acres
Answer: A. 130 acres
Explanation: The area of Farm A = x acres;
The area of Farm B = x-15 acres.
Total output of Farm A = 300x kgs;
Total output of Farm B = 350(x-15) kgs.
Farm B in total harvested 3000 kgs of rice more than Farm A: 300x+3000=350(x-15) --> x=180 acres.
Answer: A.
Question: David invested certain amount in three different schemes. A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in scheme C was 150% of the amount invested in scheme A and 240% of the amount invested in scheme B, what was the amount invested in scheme B?
A.5000
B.2787
C.2679
D.2790
Answer: A.5000
Explanation: Let x, y and z be the amount invested in schemes A, B and C respectively. Then,
(x * 10 * 1)/100 + (y * 12 * 1)/100 + (z * 15 * 1)/100 = 3200
10x + 12y + 15z = 320000
Now, z = 240% of y = 12/5 y
And, z = 150% of x = 3/2 x
x = 2/3 z = ( 2/3 * 12/5) y = 8/5 y
16y + 12y + 36y = 320000
y = 5000
Sum invested in scheme B = Rs. 5000.Answer: A
Question: What is the total number of prime numbers less than 60?
A.17
B.18
C.19
D.20
Answer: A.17
Explanation: Solution
Prime numbers less than 60 are	=17.
2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59
Their number is 17.
Answer A
Question: In how many ways can the letters of the word STATE be arranged?
A.60
B.1348
C.2520
D.3000
Answer: A.60
Explanation: STATE has 5 words, but T is repeated two times. Thus ways = 5! / 2! = 60 ways
A
Question: If p and t are positive integers such that p > t > 1, what is the remainder when 92p × 5p+t + 11t × 6pt is divided by 10?
A.A.0
B.B.1
C.C.3
D.D.4
Answer: B.B.1
Explanation: 92p × 5p+t + 11t × 6pt--1=B
Question: One day, Raviraj left home and cycled 20 Km southwards, turned right and cycled 10 km and turned right and cycled 20 Km and turned left and cycled 20 Km. How many kilometres will he have to cycle to reach his home straight ?
A.50
B.30
C.40
D.60
Answer: B.30
Explanation: Raviraj starts from home at A, moves 20 Km in south upto B. Then he turns right and moves 10 Km upto C, then he turns right and moves 20 Km upto D, then he turns lefts and moves 20 Km upto E.
So from image it is clear that, if he moves straight then he will have to move AD+DE, AD = BC = 10 Km
So, he will have to move 10 + 20 = 30 Km
ANSWER B
Question: When positive integer x is divided by positive integer y, the remainder is 4. If x/y = 96.16, what is the value of y?
A.96
B.75
C.48
D.25
Answer: D.25
Explanation: by the definition of a remainder, the remainder here is equal to 4/y. the remainder in decimal form is given as .16
therefore, 4/y = .16
solve for y and get 25.
D
Question: A cycle is bought for Rs.900 and sold for Rs.1260, find the gain percent?
A.39%
B.20%
C.40%
D.74%
Answer: C.40%
Explanation: 900 ---- 360
100 ---- ? =>
40%
Answer:C
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.2/21
B.3/21
C.5/26
D.4/25
Answer: C.5/26
Explanation: P(Both are red),
=6C213C2=6C213C2
=5/26
C
Question: The probability of a team winning a match given Matt is playing the match is 0.75. The probability of the team winning a match given Matt is not playing the match is 0.6. The probability of Matt playing any match is 0.8.
If it is known that the team has won the last match, what is the probability that Matt played the match?
A.0.8321
B.0.7
C.0.8571
D.0.8333
Answer: D.0.8333
Explanation: Out of 100 matches:
Matt is plays in 80 and not plays in 20.
Out of 80 matches Matt plays in, team wins 0.75*80 = 60.
Out of 20 matches Matt does not play in, team wins 0.6*20 = 12.
So, out of 100 matches 60 + 12 = 72 are won.
It is known that the team has won the last match. Out of 72 matches won, Matt is in 60: 60/72 = 0.8333...
Answer: D.
Question: A man purchased 3 blankets @ Rs.100 each, 4 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
A.A)600
B.B)350
C.C)450
D.D)470
Answer: A.A)600
Explanation: Explanation:
10 * 150 = 1500
3 * 100 + 4 * 150 = 900
1500 – 900 = 600
A
Question: In the kitchen of a busy restaurant, it takes M minutes to wash P pots. At this rate, how many hours does it take to wash 6P pots?
A.10/M
B.M/10
C.M/60
D.240M
Answer: B.M/10
Explanation: The time it takes to wash 6P pots is 6M minutes which is 6M / 60 = M/10 hours.
The answer is B.
Question: What percent of a day is 5 hours?
A.12Ã—1/2%
B.16Ã—1/2%
C.18Ã—2/3%
D.20Ã—5/6%
Answer: D.20Ã—5/6%
Explanation: Solution
Required percentage	= (5/24Ã—100)%
= (125 / 6)%.
= 20Ã—5/6%.
Answer D
Question: A bus takes 4 hours to cover a distance of 340 Km. how much should the speed in Kmph be maintained to cover the same direction in 5/2th of the previous time?
A.34 Kmph
B.50 Kmph
C.33 Kmph
D.45 Kmph
Answer: A.34 Kmph
Explanation: Time = 4
Distance = 340
5/2 of 4 hours = 4 * 5/2 = 10 Hours
Required speed = 340/10 = 34 Kmph
A