RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.900 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?
A.10000
B.12000
C.12019
D.12197
Answer: A.10000
Explanation: [900 + (X-4000) * (2.5/100)] - X * (5/100)
= 600
X = 10000
Answer: A
Question: A vessel of capacity 90 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution?
A.72.7 litres
B.73.9 litres
C.63.0 litres
D.93.7 litres
Answer: B.73.9 litres
Explanation: Let the initial quantity of milk in vessel be T litres.
Let us say y litres of the mixture is taken out and replaced by water for n times, alternatively.
Quantity of milk finally in the vessel is then given by [(T - y)/T]n * T
For the given problem, T = 90, y = 9 and n = 2.
Hence, quantity of milk finally in the vessel
= [(90 - 9)/90]2 (90) =72.9 litres.
Answer: B
Question: The price of commodity X increases by 30 cents every year, while the price of commodity Y increases by 20 cents every year. If in 2001, the price of commodity X was $4.20 and the price of commodity Y was $4.40, in which year will commodity X cost 80 cents more than the commodity Y?
A.2010.
B.2011.
C.2012.
D.2013.
Answer: B.2011.
Explanation: The cost of commodity X increases by 10 cents per year relative to commodity Y.
The price of X must gain 20 + 80 = $1.00 cents on commodity Y, which will take 10 years.
The answer is B.
Question: Machine M, N, O working simultaneously Machine M can produce x units in 3/4 of the time it takes machine N to produce the same amount of units. Machine N can produce x units in 2/9 the time it takes machine O to produce that amount of units. If all three machines are working simultaneously, what fraction of the total output is produced by machine N?
A.1/2
B.3/5
C.4/13
D.8/29
Answer: B.3/5
Explanation: Now ultimately the speed of every machine is given with respect to Mach O.
So lets assume the speed of O, say 12 hrs to make x units (assuming 6 because we can see we will need to divide by 3 and 4
Mach O makes x units in 12 hrs
So, Mach N = 2/9 of O = 2/9*12 = 8/3 hrs to make x units
and Mach M = 3/4 of N = 3/4*8/3 = 6 hrs to make x units
No they are running simultaneously. Lets see how much each mach makes in 1 hr
Mach O = x/12 units
Mach N = 3x/8 units
Mach M = x/6 units
In 1 hr, together they make - x/12+3x/8+x/6 = 5x/8
So what ratio of this has Mach N made?
(3x/8) / (5x/8) =3/5
Ans:B=3/5
Question: A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania's intelligence agency has recently captured a message from the country Gonzalia indicating that an electronic transmitter has been installed in a Kerrania government vehicle with a license plate starting with 79. If it takes the police 50 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within three hours?
A.18/79
B.1/6
C.1/25
D.1/250
Answer: D.1/250
Explanation: So there are 900 cars that they have to search.. Each takes 50mins, total of 45000 mins.. Have to find in 180 mins.. Prob180/45000 = 1/250 (ANSWER D)
Question: The largest two digit number which is a perfect cube, is:
A.25
B.36
C.49
D.64
Answer: D.64
Explanation: Explanation:
4*4*4 = 64
Answer: D
Question: A certain candy store sold lollipops for $0.90 each and pieces of individually wrapped saltwater taffy for $0.20 each. If a customer purchased both lollipops and taffy from the store, and spent a total of $3.90, what total number of lollipops and saltwater taffy did the customer purchase?
A.6
B.7
C.8
D.9
Answer: D.9
Explanation: we can take numbers, as price of lollipop 9, 2 for taffy and 39 total for ease.
Now we can determine quickly that total number should range between 39/9 <= N <=39/2, so ans should be between 4 and 20.
Now solving the expression 9A+2B =39
first possibility with 1 lollipop, 15 taffy we get $3.90 total amount, but 1+15=16, and 16 is not an option.
So next choice, for 9A+2B =39 would come by decreasing 39 in multiple of 9 and checking divisibility of that number by 2. this way we get
3 lollipop, 6 taffy would be $3.90 total, 3*0.90 + 6*0.20= 3.90
Hence total number is 3 + 6 = 9
Ans D
Question: A train takes 10 sec to pass a signal post and covers a distance of 10 km in 15 min. Find the length of train?
A.100.1 m
B.223.1 m
C.111.1 m
D.120.3 m
Answer: C.111.1 m
Explanation: EXPLANATION:
We know,
Speed =	Distance / Time
Speed =	10/50	x 60 = 40 x 5/18 m/sec = 11.1 m/sec
Length of train = (Speed x Time)
= (11.11 x 10)
= 111.1 m
ANSWER IS C
Question: In N is a positive integer less than 200, and 2N/108 is an integer, then N has how many different positive prime factors?
A.2
B.3
C.5
D.6
Answer: B.3
Explanation: (B).
2n/108 must be an integer. => n/54 must be an integer. Hence n must be a multiple of 2*3*9.
=> n has 3 different prime integers.
Question: A salt manufacturing company produced a total of 100 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?
A.700
B.650
C.750
D.800
Answer: B.650
Explanation: Total production of salt by the company in that year = 100 + 200 + 300 + .... + 1200 = 7800.
Average monthly production of salt for that year = 7800/12 = 650.
Answer: B
Question: If a and b are positive integers such that a/b = 5.75, which of the following must be a divisor of a
A.6
B.5
C.4
D.1
Answer: D.1
Explanation: a/b = 5.75
a/b = 575/100
a/b = 23/4
a = 23/4*b
We require to find from the available 5 options that must be a divisor of a"
This also means which of the following 5 options can divide 23 evenly
(Ignore b as its value unknown; Ignore 4 as in denominator)
Only option D = 1 best fits in
Answer = 1
ANSWER:D
Question: If 213 × 16 = 3408, then 1.6 × 2.13 is equal to :
A.0.3408
B.3.408
C.34.08
D.340.8
Answer: B.3.408
Explanation: Solution
1.6 × 2.13 = (16/10x 213/100)= (16x 213/1000) = 3408/100 = 3.408. Answer B
Question: Mahesh marks an article 15% above the cost price of Rs. 540. What must be his discount percentage if he sells it at Rs. 457?
A.26.4%
B.21%
C.20%
D.19%
Answer: A.26.4%
Explanation: CP = Rs. 540, MP = 540 + 15% of 540 = Rs. 621
SP = Rs. 457, Discount = 621 - 457 = 164
Discount % = 164/621 * 100 = 26.4%
ANSWER:A
Question: Which of the numbers below is the odd one out
1,4,10,19,21,31,46.
A.4
B.21
C.10
D.19
Answer: B.21
Explanation: 21 is the odd man.. diff between sucessive no.s are multiples of 3
ANSWER:B
Question: The average (arithmetic mean) of a normal distribution of a school's test scores is 62, and standard deviation of the distribution is 6.5. A student scoring a 78 on the exam is in what percentile of the school?
Choices
A.63rd percentile
B.68th percentile
C.84th percentile
D.96th percentile
Answer: C.84th percentile
Explanation: (78-65)/6.5 = 2 sigmas or 95.5th percentile for +-2 sigma but in our case we need only upper tail, so it's 100 - (100 - 95.5)/2 = 84th percentile
C
Question: A part-time employee whose hourly wage was decreased by 20 percent decided to increase the number of hours worked per week so that the employee's total income did not change. By what percent E should the number of hours worked be increased?
A.12.5%
B.20%
C.25%
D.50%
Answer: C.25%
Explanation: Correct Answer: C
Solution: C. We can set up equations for income before and after the wage reduction. Initially, the employee earns W wage and works H hours per week. After the reduction, the employee earns .8W wage and works X hours. By setting these equations equal to each other, we can determine the increase in hours worked: WH = .8WX (divide both sides by .8W) 1.25H = X We know that the new number of hours worked E will be 25% greater than the original number. The answer is C.
Question: If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
A.157.55
B.157.76
C.157.5
D.157.57
Answer: C.157.5
Explanation: (3500*1.5*3)/100
=> 157.50
Answer: C
Question: Four dice are thrown simultaneously. Find the probability that all of them show the same face.
A.1/215
B.1/216
C.1/217
D.2
Answer: B.1/216
Explanation: The total number of elementary events associated to the random experiments of throwing four dice simultaneously is:
=6×6×6×6=64
n(S)=64
Let X
be the event that all dice show the same face.
X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}
n(X)=6
Hence required probability,
=n(X)n(S)=664
=1/216
Answer is B
Question: If x^4 + y^4 = 650, then the greatest possible value of x is between:
A.1 to 2
B.2 to 3
C.3 to 4
D.5 to 6
Answer: D.5 to 6
Explanation: The answers to this question provide a great 'hint' as to how to go about solving it; since they're all essentially 'ranges', you can use them to figure out which solution contains the maximum value of X.
We're told that X^4 + Y^4 = 100. To maximize the value of X, we need to minimize the value of Y^4. The smallest that Y^4 could be is 0 (when Y = 0), so we'll have....
X^4 = 650
Looking at the answers, it makes sense to see what 5^4 equals....
5^4 = 625
Since that is BELOW 650, and 6^4 will clearly be MORE than 650, we have the correct answer.
Final Answer:
D
Question: If * stands for /, / stands for -, + stands for * and - stands for +, then
9/8*7+5-10 = ?
A.13.3
B.10.8
C.10.7
D.11.4
Answer: A.13.3
Explanation: 9/8*7+5-10 this expression becomes 9-8/7*5+10 after exchanging the symbols then the values for it would be 9-1.142*5+10=13.290(app)=13.3
ANSWER:A
Question: A, B and C invests Rs.2000, Rs.3000 and Rs.4000 in a business. After one year A removed his money; B and C continued the business for one more year. If the net profit after 2 years be Rs.3200, then A's share in the profit is?
A.Rs.340
B.Rs.282
C.Rs.739
D.Rs.400
Answer: D.Rs.400
Explanation: 2*12 : 3*12 : 4*24
1: 3: 4
1/8 * 3200 = 400
Answer:D
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.76 ways
B.66 ways
C.30 ways
D.56 ways
Answer: C.30 ways
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.
Answer: C
Question: (935421 x 625) = ?
A.575648125
B.584638125
C.584649125
D.585628125
Answer: B.584638125
Explanation: Explanation:
935421 x 625 = 935421 x 54 = 935421 x(10/2)4
= 584638125
ANSWER IS B
Question: 2,3,5,8,13,21,34,?
A.57
B.58
C.55
D.54
Answer: C.55
Explanation: Each number is the sum of the previous two numbers, ie 18 + 29 = 55.
Answer : C
Question: The price of electricity in the area where the Smith family lives is scheduled to increase by 20% next year. Since the Smith family cannot afford an increase in their electric bill, how much will they have to reduce consumption to keep their cost the same?
A.30%
B.25%
C.16.7%
D.20%
Answer: C.16.7%
Explanation: Solution: Let the current year's electrical expense be represented by Rs. 100.
The price of electricity rises 20%. So, to buy same amount of electricity, they need to increase their expense,
= (100 + 20% of 100) = Rs. 120.
But, they want to keep electricity expense the same, so they have to cut Rs. by 20 to keep it to Rs. =100.
The % decrease in consumption is,
(20/120)*100 = 20%.
Mental Calculation Method;
100-----20%↑---→120------X%↓---→100.
Here, X = (20/120)*100 = 16.7%.
Answer: Option C
Question: A computer program generates a single digit by a random process, according to which the probability of generating any digit is directly proportional to the reciprocal of one more than that digit. If all digits are possible to generate, then the probability T of generating an odd prime digit is between
A.0 and 1/6
B.1/6 and 1/3
C.1/3 and 1/2
D.1/2 and 2/3
Answer: B.1/6 and 1/3
Explanation: K (1 + 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + 1/8 + 1/9+ 1/10) =1
Note that 1/10 is least value and is equal to 0.1 so we can write above series as
K (1+0.5+0.3+0.25+0.2+0.16+0.5+residual) = 1
K=1/3+
P (3 or 5 or 7) =K*13/24
Required probability T= 13/24 × 1/3+ = 4+/24 > 1/6
Answer should be B
P.s. 3+ denotes a value little greater than 3 .
Same for 4+.
Question: Life expectancy is defined by the formula 2SB/G, where S = shoe size, B = average monthly electric bill in dollars, and G = GMAT score. If Melvin's GMAT score is twice his monthly electric bill, and his life expectancy is 80, what is his shoe size?
A.80
B.70
C.75
D.40
Answer: A.80
Explanation: Solution -
Given that, G = 2B and Life expectancy(L) = 80
L=2SB/G -> 80 = 2SB/2B --> S=80.
ANS A
Question: The sum of the first k positive integers is equal to k(k+1)/2. What is the sum of the integers from c to d, inclusive, where 0<c<d?
A.d(d+1)/2 - (c+1)(c+2)/2
B.d(d+1)/2 - c(c+1)/2
C.d(d+1)/2 - (c-1)c/2
D.(d-1)d/2 - (c+1)(c+2)/2
Answer: C.d(d+1)/2 - (c-1)c/2
Explanation: Or try plug-in method: let d=4 and c=3 --> then d+c=7. Let see which option yields 7.
A. d(d+1)/2 - (c+1)(c+2)/2 = 10-10=0;
B. d(d+1)/2 - c(c+1)/2 = 10-6=4;
C. d(d+1)/2 - (c-1)c/2 = 10-3=7 --> OK;
D. (d-1)d/2 - (c+1)(c+2)/2 = 6-10=-4;
E. (d-1)d/2 - c(c+1)/2 = 6-6=0.
Answer: C.
Question: Calculate how many men are needed to finish a specific task in 15 days if it will take 60 men to complete the same task in 80 days. ?
A.325
B.323
C.310
D.320
Answer: D.320
Explanation: men required to finish the work in 15 days = 60*80/15 = 320
Answer is D
Question: If 1/8 of a pencil is black, 1/2 of the remaining is white and the remaining 3 1/2 cm is blue, find the total length of the pencil.
A.12
B.9
C.8
D.6
Answer: C.8
Explanation: Let the total length of the pencil be x cm.
Black part is 1/8 of the length so x/8.
so the Remaining part is x - x/8 ==> 8x/8 - x/8 ==> 7x/8 cm.
white part = 1/2 * 7x/8 = 7x/16 cm.
so the remaining part is 7x/8 - 7x/16 ==> 14x/16 - 7x/16 = 7x/16
which is equal to 3 1/2.
7x/16 = 7/2 cross multiply and we get x = 16/2 = 8 cm.
so the total length of the pencil is 8 cm. The correct answer is option C) 8.
Question: 65% of a number is 21 less than 4/5th of that number. What is the number?
A.100
B.120
C.140
D.130
Answer: C.140
Explanation: Let the number be x
Then, 4x/5 - (65% of x) = 21
4x/5-65x/100 = 21
x = 140
Answer is C
Question: A train crosses a platform of 350 m in 15 sec, same train crosses another platform of length 500m in 20 sec. then find the length of the train?
A.100m
B.180m
C.159m
D.250m
Answer: A.100m
Explanation: Length of the train be ‘X’
X + 350/15 = X + 500/20
4X + 1400 = 3X + 1500
X = 100m
Answer:A
Question: In the next Cricket World Cup T-20, Team R has decided to score 200 runs only through 4s and 6s. In how many ways can the Team R score these 200 runs?
A.13
B.15
C.16
D.17
Answer: D.17
Explanation: Team R can score a maximum of 50 fours and a minimum of 2 fours with an interval or spacing of 3 units to accommodate the 6's.
So the number of fours scored forms an AP 2, 5, 8, ... 50 with a common difference of 3.
Number of ways of scoring 200 only through 4's and 6's = (50 - 2)/3 + 1 = 17
Answer: D
Alternate solution: 4x + 6y = 200 --> 2x + 3y = 100
x = (100 - 3y)/2 --> 100 - 3y should be even. This is possible when 3y is even.
There are 17 even multiples of 3 between 0 and 100.
Answer: D
Question: The sum of all consecutive odd integers from −19 to 29, inclusive, is
A.125
B.135
C.150
D.175
Answer: A.125
Explanation: The sum of the odd numbers from -19 to +19 is 0.
Let's add the remaining numbers.
21+23+25+27+29 = 5(25) = 125
The answer is A.
Question: In how many ways Chief Minister and Minister be elected from a team of 8 members?
A.65
B.56
C.50
D.58
Answer: B.56
Explanation: To do this, if captain is elected first, then we have 8 ways of doing this.
For election of vice-captain, we have only 7 ways left, coz 1 way is already consumed. (Situations like this is called dependent situation. One selection depends upon other selection.)
So, the ans is 8*7 = 56 ways.
B
Question: What is the place value of 8 in the numeral 8729
A.8000
B.3400
C.3500
D.3000
Answer: A.8000
Explanation: Option 'A'
8 * 1000 = 8000
Question: Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is?
A.33
B.16
C.77
D.88
Answer: B.16
Explanation: Ratio of times taken by Sakshi and Tanys = 125:100 = 5:4
Suppose Tanya takes x days to do the work.
5:4 :: 20:x => x= 16 days.
Hence, Tanya takes 16 days to complete the work.
Answer: B
Question: Victor's job requires him to complete a series of identical jobs. If Victor is supervised at work, he finishes each job three days faster than if he is unsupervised. If Victor works for 144 days and is supervised for half the time, he will finish a total of 36 jobs. How long E would it take Victor to complete 10 jobs without any supervision?
A.34
B.52
C.60
D.70
Answer: C.60
Explanation: Rate when supervised = (job)/(time) = 1/t.
Rate when unsupervised = (job)/(time) = 1/(t+3).
For 144/2=72 days he is supervised and for 144/2=72 days he is unsupervised and does 36 jobs:
72/t + 72/(t+3) = 36 --> t=3 days --> t+3 = 6 days.
Victor to complete 10 jobs without any supervision will need E 10(t + 3) = 60 days.
Answer: C.
Question: If each participant of a chess tournament plays exactly one game with each of the remaining participants, then 120 games will be played during the tournament. Find the number of participants.
A.15
B.16
C.17
D.18
Answer: B.16
Explanation: Let P be the number of participants.
PC2 = 120
(P)(P-1) = 240 = 16*15
P = 16
The answer is B.
Question: A wolf eats 5.5 Kg of meat in 2 days. A baby tiger eats 3 Kg of meat in 4 days. How much meat can the two combined eat in two days?
A.10.
B.9.
C.8.
D.7.
Answer: D.7.
Explanation: 2/2*5.5+2/4*3=7 kg
D
Question: A sum of money when distributed among friends is in the ratio of 3:4:5, if the amount is the larger 3digit number divisible by 24, what is the share of 3rd person?
A.400
B.410
C.420
D.430
Answer: B.410
Explanation: Largest 3 digit number divisible by 24= 984
So their shares are (984*3/12=246) , (984*4/12=328) , (984*5/12=410)
ANSWER:B
Question: The measure of the side of a square is multiplied by 5. If x represents the perimeter of the original square, what is the value of the new perimeter?
A.3x
B.4x
C.5x
D.12x
Answer: C.5x
Explanation: Original perimeter = x
Hence original side = x/4
New side = 5x/4
New perimeter = 4*5x/4 = 5x
Correct Option: C
Question: A computer factory produces 4032 computers per month at a constant rate, how many computers are built every 30 minutes assuming that there are 28 days in one month?
A.2.25.
B.3.00.
C.4.5.
D.5.225.
Answer: B.3.00.
Explanation: Number of hours in 28 days = 28*24
Number of 30 mins in 28 days = 28*24*2
Number of computers built every 30 mins = 4032/( 28*24*2) = 3
Answer B
Question: S(n) is sum of first n natural numbers, Z(n) = 2S(n)+41, lowest value of n such that Z(n) is NOT a prime.
A.7
B.6
C.40
D.always a prime
Answer: C.40
Explanation: as the sum of first N natural numbers is
S(n)=n/2(1+n)
so z(n)=2(s(n))+41=2*n/2(1+n)+41=n(1+n)+41
Now put all the given options one by one
take n=7
z(7)=7(7+1)+41=56+41=97 a prime number
take n=6
z(6)=6(6+1)+41=41+41=83 again a prime number
now take n=40
z(40)=40(40+1)+41=40*41+41=41(40+1)=41*41=1681 not a prime number
ANSWER:C
Question: A boat can travel with a speed of 14 km/hr in still water. If the speed of the stream is 6 km/hr, find the time taken by the boat to go 72 km downstream.
A.4.25 hr
B.3.6 hr
C.8.25 hr
D.2.25 hr
Answer: B.3.6 hr
Explanation: speed of boat in still water = 14 km/hr
speed of the stream = 6 km/hr
Speed downstream = (14+6) = 20 km/hr
Time taken to travel 72 km downstream = 72â„20 =3.6 hours
Answer is B
Question: A and B starts a business with Rs.8000 each, and after 5 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
A.36:23
B.18:23
C.18:10
D.18:14
Answer: A.36:23
Explanation: A invests Rs.8000 for 18 months, but B invests Rs.8000 for the first 5 months and then withdraws Rs.4000. So, the investment of B for remaining 13 months is Rs.4000 only.
A : B
8000*18 : (8000*5) + (4000*13)
14400 : 92000
A:B = 36:23
Answer: A
Question: 1,5,6 ,25, 26,30,31, 125,126,130,131,150,151,155,156,……… What is the value of 33rd term in the
given series
A.3124
B.3125
C.3126
D.3127
Answer: C.3126
Explanation: 1st terms gives 2nd and 3rd terms
1st term is 1
2nd term 1*5=5 3rd term= 5+1=6
similarly,
4th term =5*5=25 5th term=25+1=26
1st term gives 2nd and 3rd values
2nd term gives 4th and 5th values
lke wise
16th term gives 32nd and 33rd values
16 th term is 125*5=625
32nd term is 625*5=3125 and 33rd value is 3126
ANSWER:C
Question: How many seconds will a 500 meter long train moving with a speed of 63 km/hr, take to cross a man walking with a speed of 3 km/hr in the direction of the train ?
A.15s
B.20s
C.25s
D.30s
Answer: D.30s
Explanation: Distance = 500m
Speed = 63 -3 km/hr = 60 km/hr = 600/36 m/s = 50/3 m/s
Time taken = distance/speed = 500/(50/3) = 30 s
Answer is D.
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
A.1 : 3
B.3 : 2
C.3 : 4
D.4:3
Answer: B.3 : 2
Explanation: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27 x meters, and length of the second train = 17 y meters. (27 x + 17 y) / (x + y) = 23 ==> 27 x + 17 y = 23 x + 23 y ==> 4 x = 6 y ==> x/y = 3/2.
ANSWER:B
Question: A tap can fill the tank in 15 minutes and another can empty it in 8 minutes. If the tank is already half full and both the taps are opened together, the tank will be:
A.filled in 12 min
B.emptied in 12 min
C.filled in 8 min
D.emptied in 8 min
Answer: D.emptied in 8 min
Explanation: work done by both taps= 1/15+(-1/8)= -7/120 so tank will be emptied becoz of minus sign.
so time taken= 120/7
given the tank is already half filled
so another half will be emptied in 120/7*1/2
nearly 8 minutes
ANSWER:D
Question: Walking with 4/5 of my usual speed, I miss the bus by 7 minutes. What is my usual time?
A.16 min
B.26 min
C.28 min
D.20 min
Answer: C.28 min
Explanation: Speed Ratio = 1:4/5 = 5:4Time Ratio
= 4:51 -------- 7 4 --------- ? è 28
Answer: C
Question: If the S.P of Rs. 36 results in a 10% discount on the list price, What S.P would result in a 20% discount on the list price?
A.s. 29
B.s. 30
C.s. 31
D.s. 32
Answer: D.s. 32
Explanation: Let the list price be Rs. X,
90/100*x = 36, x = 36*100/90 = 40
Required S.P = 80% of Rs. 40
= 80*40/100
=32
ANSWER:D
Question: How many numbers up to 500 are divisible by 23?
A.11
B.76
C.21
D.23
Answer: C.21
Explanation: Explanation:
500/23 = 21 17/23 => 21 Numbers
Answer: C
Question: How long does a vehicle 150 m long traveling at 50 kmph takes to cross a bridge of 150 m in length?
A.16.7
B.21.6
C.26.5
D.26.1
Answer: B.21.6
Explanation: D = 150 + 150 = 300 m
S = 50 * 5/18 = 125/9
T = 300 * 9/125 = 21.6 sec
Answer:B
Question: There are 7 periods in each working day of a school. In how many ways can one organize 4 subjects such that each subject is allowed at least one period?
A.15345
B.15120
C.15609
D.15680
Answer: B.15120
Explanation: 6 subjects can be arranged in 7 periods in 7P6 ways.
Remaining 1 period can be arranged in 6P1 ways.
Two subjects are alike in each of the arrangement. So we need to divide by 2! to avoid overcounting.
Total number of arrangements = (7P6 x 6P1)/2! = 15120
ANSWER:B
Question: If a(a + 5) = 36 and b(b + 5) = 36, where a ≠ b, then a + b =
A. −48
B. −5
C. 2
D. 46
Answer: B. −5
Explanation: i.e. if a = 4 then b = -9
or if a = -9 then b = 4
But in each case a+b = -9+4 = -5
Answer: option B