divelab/Sys2Bench huggingface dataset:
Question: A car gets 30 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 200 kilometers?
Options:
A)3.5 gallons
B)2.7 gallons
C)6.7 gallons
D)4.5 gallons
E)7.5 gallons
Rationale: Each 30 kilometers, 1 gallon is needed. We need to know how many 30 kilometers are there in 200 kilometers?
200 Ã· 30 = 6.7 Ã— 1 gallon = 6.7 gallons
correct answer is C) 6.7 gallons
Answer: C
Question: In digging a pond 28 m * 10 m * 5 m the volumes of the soil extracted will be?
Options:
A)3387
B)1000
C)2866
D)2787
E)1400
Rationale: 28 * 10 * 5 = 1400
Answer: E
Answer: E
Question: The lateral surface area of cube is 100 sq.units. find the volume of cube?
Options:
A)135
B)155
C)125
D)145
E)115
Rationale: Lateral surface = 4 a(power)2 = 100 sq.units
a(power)2 = 25
a = 5.
Cube volume = a(power)3 => 125 m(power)3
Answer is C.
Answer: C
Question: A statue is being carved by a sculptor. The original piece of marble weighed 300 kg. In the first week 30 percent is cut away. In the second week 30 percent of the remainder is cut away. In the third week the statue is completed when 15 percent of the remainder is cut away. What is the weight of the final statue?
Options:
A)105 kg
B)103 kg
C)108 kg
D)125 kg
E)117 kg
Rationale: D
125 kg
300 Ã— 0.7 Ã— 0.7 Ã— 0.85 = 125 kg.
Answer: D
Question: A can do a job in 12 days and B can do it in 15 days. A and B working together will finish twice the amount of work in days?
Options:
A)22 1/6
B)22 1/2
C)22 1/0
D)22 1/9
E)13 1/3
Rationale: 1/12 + 1/15 = 9/60 = 3/20
20/3 = 20/3 *2 = 13 1/3 days
Answer: E
Answer: E
Question: A number increased by 20% gives 480. The number is
Options:
A)200
B)400
C)300
D)450
E)500
Rationale: Formula = TOTAL=100% ,INCRESE = "+" DECREASE= "-"
A number means = 100 %
That same number increased by 20 % = 120 %
120 % -------> 480 (120 × 4 = 480)
100 % -------> 400 (100 × 4 = 400)
B)
Answer: B
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.9 km and 2.1 km respectively. The time taken by the slower train to cross the faster train in seconds is?
Options:
A)99
B)277
C)48
D)96
E)22
Rationale: Relative speed = 60 + 90 = 150 km/hr.
= 150 * 5/18 = 125/3 m/sec.
Distance covered = 1.9 + 2.1 = 4 km = 4000 m.
Required time = 4000 * 3/125 = 96 sec.
Answer:D
Answer: D
Question: An office has 6 employees; there are 5 female employees and 1 male employee. In how many ways can a 3-person committee be created if the committee must include the male employee?
Options:
A)5
B)10
C)15
D)20
E)25
Rationale: Total Employees: 6
Female: 5
Male: 1
committee of 3 with inclusion of Male
Number of ways Female can be selected : 5C2 = 10
For male it should be 6C1 or 6C6
6C1= 6
6C6= 1
ANS= 10 B
Answer: B
Question: A certain number of two digits is three times the sum of its digits and if 45 be added to it, the degits are reversed. The number is.
Options:
A)23
B)27
C)32
D)72
E)46
Rationale: Let the ten's digit be x and unit's digit be y.
Then 10x + y = 3 (x+y) ==> 7x - 2y = 0 ==> 7x - 2y = 0----> (I)
10 + y + 45 = 10y + x ==> y - x = 5 ===> -2x + 2y = 10------(II)
By adding (I) and (II) we get 5x = 10
so x = 2 and y = 7 so the required number is 27.
so the correct option is B) 27.
Answer: B
Question: You have been given a physical balance and 7 weights of 52, 50, 48, 44, 45, 46, and 78 Kgs.. Keeping weights on one pan and object on the other, what is the maximum you can weigh less than 183 Kgs.?
Options:
A)178
B)180
C)181
D)182
E)183
Rationale: balance=52+50+48+44+45+46+78-183
ANSWER:E
Answer: E
Question: Two vessels contains equal number of mixtures milk and water in the ratio 4:1 and 7:3. Both the mixtures are now mixed thoroughly. Find the ratio of milk to water in the new mixture so obtained?
Options:
A)2:1
B)4:1
C)3:1
D)2:3
E)4:3
Rationale: The ratio of milk and water in the new vessel is = (4/5 + 7/10) : (1/5 + 3/10)
= 3/2 : 1/2 = 3:1
Answer is C
Answer: C
Question: A train is moving at a speed of 30km/hr and its length is 100m. Find the time taken by it to pass a man standing near the railway line?
Options:
A)12sec
B)10sec
C)15sec
D)18sec
E)22sec
Rationale: Speed of the train = 30*5/18 = 25/3 m/sec
Distance moved in passing the standing man = 100m
Required time taken = 100/(25/3) = 100*3/25 = 12sec
Answer is A
Answer: A
Question: The mean of 50 observations was 32. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is
Options:
A)35.2
B)32.5
C)36.5
D)39.1
E)None
Rationale: Sol.
Therefore correct sum
= ( 32 × 50 + 48 – 23)
= 1625.
Therefore correct mean
= 1625 / 50
= 32.5.
Answer B
Answer: B
Question: A vessel of capacity 60 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?
Options:
A)23.89
B)72.9
C)38.3
D)43.35
E)79.3
Rationale: 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 = 60, y = 9 and n = 2.
Hence, quantity of milk finally in the vessel
= [(60 - 9)/60]^2 (60) = 43.35 litres.
Answer: Option D
Answer: D
Question: Last year, Company X paid out a total of $1,050,000 in salaries to its 31 employees. If no employee earned a salary that is more than 20% greater than any other employee, what is the lowest possible salary that any one employee earned?
Options:
A) $10,000
B) $$28,378.37
C) $42,000
D) $50,000
E) $60,000
Rationale: Employee 1 earned $x(say)
Employee 2 will not earn more than $1.2x
Therfore, to minimize the salary of any one employee, we need to maximize the salaries of the other 30 employees
(1.2x*30)+x=1,050,000
Solving for x=$28,378.37
Answer B
Answer: B
Question: If 3<x<6<y<10, then what is the greatest possible positive integer difference of x and y?
Options:
A)3
B)4
C)5
D)6
E)7
Rationale: 3 < x < 6 < y < 10;
3 < x
y < 10
3 + y < x + 10
y - x < 7.
Positive integer difference is 6 (for example y = 9.5 and x = 3.5)
Answer: D.
Answer: D
Question: A secondhand car was purchased for £8000. After three years the car's value had decreased by 35%.Find the price of the car after three years.
Options:
A)£5100
B)£5200
C)£5300
D)£5400
E)£5400
Rationale: Solution
We begin by finding 10% of £8000 by dividing by 10. So 10% = £800.
Now 5% is half of 10% so 5% = £400
So 35% = 10% + 10% + 10% + 5% = 800 + 800 + 800 + 400 = £2800
The find the value of the car after three years subtract 35% from the original amount.
£8000 - £2800 = £5200
Answer B
Answer: B
Question: If the S.P of Rs. 63 results in a 10% discount on the list price, What S.P would result in a 20% discount on the list price?
Options:
A)s. 55
B)s. 56
C)s. 57
D)s. 58
E)s. 59
Rationale: Let the list price be Rs. X,
90/100*x = 63, x = 63*100/90 = 70
Required S.P = 80% of Rs. 70
= 80*70/100
=56
ANSWER:B
Answer: B
Question: If -3x > 0, which of the following must be true?
Options:
A)x < -3
B)x < -2
C)x > 3
D)x > -2
E)x < 0
Rationale: -3x > 0
=> -x > 0
=> x < 0
Answer E
Answer: E
Question: Three seventh of a number is 12 more than 40% of that number. What will be the 60% of that number?
Options:
A)148
B)210
C)126
D)248
E)258
Rationale: 3/7 x – 40/100 x = 12
x = 35 * 12
35 * 12 * 60/100 = 252/2 = 126
ANSWER:C
Answer: C
Question: Circular gears L and R start to rotate at the same time at the same rate. Gear R makes 10 complete revolutions per minute and gear L makes 40 revolutions per minute. How many seconds after the gears start to rotate will gear L have made exactly 6 more revolutions than gear R?
Options:
A)a) 6
B)b) 12
C)c) 10
D)d) 14
E)e) 15
Rationale: GearR -- 10 rotations per 60 seconds -- 1 rotation per 6 seconds.
Gear L -- 40 rotations per 60 seconds -- 4 rotations per 6 seconds.
First 6 seconds -- Gear R makes 1 rotation. -- Gear L makes 4 rotations -- Net difference -- 3 rotations
Hence every 6 seconds the difference between the number of rotations of R and L gear is 3 units.
Required net difference should be 6 rotations => 2 (6 seconds later) ==> 12 seconds.
Answer: B
Answer: B
Question: The area of playground is 6000 sq. meters. What will be the cost of covering it with grass sheet 1cm deep, if cost of grass sheet is $2.80 per cubic meter.
Options:
A)a) $144
B)b) $150.50
C)c) $168
D)d) $158.60
E)e) $160.70
Rationale: total volume * unit cost = total cost
or, 6000 * 0.01 * 2.8 = total cost = 168=C
Answer: C
Question: If the wheel is 14 cm then the number of revolutions to cover a distance of 1056 cm is?
Options:
A)22
B)28
C)17
D)12
E)88
Rationale: 2 * 22/7 * 14 * x = 1056 => x = 12
Answer: D
Answer: D
Question: Two trains leaving from two station 50 miles away from each other with costant speed of 60 miles per hour, approaches towards each other on diffrent tracks. if lenght of each train is 1/6 mile. when they meet How much time they need to pass each other totally?
Options:
A)1/6 min
B)1/7 min
C)1/8 min
D)1/9 min
E)1/5 min
Rationale: both are approaching each other relative speed=60+60=120m/h
distance=50m
time=50/120=5/12hrs= 25 minutes to meet
now,
relative length of train= 1/6+1/6=1/3m
relative speed = 120m/h
time to cross both the trains= (1/3)/120=1/360 hrs
= 1/6 minutes
ANSWER:A
Answer: A
Question: The base of a triangle is 15 cm and height is 12 cm. The height of another triangle of double the area having the base 20 cm is :
Options:
A)22 cm
B)20 cm
C)18 cm
D)10 cm
E)None of these
Rationale: Explanation:
Area of triangle, A1 = 1/2∗base∗height
=1/2∗15∗12=90cm2
Area of second triangle =2∗A1=180cm2
1/2∗20∗height=180
=>height=18cm
Option C
Answer: C
Question: In a can, there is a mixture of milk and water in the ratio 5:3. If the can is filled with an additional 20 liters of milk, the can would be full and the ratio of milk and water would become 3:1. Find the capacity of the can?
Options:
A)52
B)56
C)60
D)64
E)68
Rationale: Let C be the capacity of the can.
(5/8)*(C-20)+20=(3/4)*C
5C-100+160=6C
C=60
The answer is C.
Answer: C
Question: Company X provides bottled water to its employees in 5 liter bottles, $2 each. At least how many 5L bottles must Company X buy monthly, so that new contract with $100 fixed monthly rate and $1 for 10L bottle each paid off? (Assume that no other costs apply)
Options:
A) 121
B) 125
C) 132
D) 134
E) 138
Rationale: let the no. of 5 liter bottles be x, so the no. of 10l bottles will be x/2 (to equate the vol.) since the total cost will be equal , 2x= 100+x/2 so x= 133.33 or 134. Answer is (D).
Answer: D
Question: Sum of two numbers is 30. Two times of the first exceeds by 10 from the three times of the other. Then the numbers will be?
Options:
A)14, 16
B)16, 14
C)18, 12
D)12, 18
E)17, 13
Rationale: Explanation:
x + y = 30
2x Ã¢â‚¬â€œ 3y = 10
x = 16 y = 14
Answer: B
Answer: B
Question: In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
Options:
A)2.5 sec
B)2.8 sec
C)3.5 sec
D)2.7 sec
E)5.5 sec
Rationale: Speed = 144 * 5/18 = 40 m/sec
Time taken = 100/40 = 2.5 sec.
Answer: A
Answer: A
Question: 60 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?
Options:
A)8 days
B)6 days
C)7 days
D)9 days
E)12 days
Rationale: 1 women's 1 day work = 1/420
1 child's 1 day work = 1/140
(5 women + 10 children)'s 1 day work
= (5/420 + 10/140) = 1/12
5 women and 10 children will complete the work in 12 days.
Answer: E
Answer: E
Question: At a local supermarket, a box of cereal usually costs 22 dollars. This week, the supermarket sells the box of cereal for 11 dollars. How much money will you save if you buy this cereal at this supermarket?
Options:
A)11 dollars
B)13 dollars
C)14 dollars
D)12 dollars
E)10 dollar
Rationale: Solution:
In this situation, there is a decrease in the price.
Saving = 22 - 11 = 11 dollars
Option A
Answer: A
Question: 243 has been divided into three parts such that half of the first part, one - third of the second part and one - fourth of the third part are equal. The largest part is ?
Options:
A)12628
B)23488
C)26688
D)26667
E)12672
Rationale: Explanation:
Ratio of their shares = (35000 * 8) : (42000 * 10) = 2 : 3.
Reena's share Rs. 31570 * (2 / 5) = Rs. 12628.
Answer: A) 12628
Answer: A
Question: 1 + 2 + 3 + ... + 12 = ?
Options:
A)76
B)68
C)78
D)66
E)67
Rationale: 1+2+3+⋯+n=∑n=n(n+1)/2
1+2+3+⋯+12=n(n+1)/2=(12(12+1))/2=(12×13)/2=6×13=78
Answer is C
Answer: C
Question: In a series of football matches, the probability that Team P wins a match against Team Q is 1/5 and the probability that the match ends in a draw is 2/3. If the two teams play five matches, what is the probability that all five matches end in a draw?
Options:
A)2/3
B)4/9
C)8/27
D)16/81
E)32/243
Rationale: P(5 draws)=(2/3)^5=32/243
The answer is E.
Answer: E
Question: If the sum of a number and its square is 182, what is the number?
Options:
A)15
B)26
C)28
D)91
E)none of these
Rationale: Let the number be x. Then,
x + x2 = 182
(x + 14)(x - 13) = 0
x = 13
ANSWER:E
Answer: E
Question: A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 5 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
Options:
A)7.5
B)20
C)30
D)32
E)40
Rationale: Net part filled in 1 hour = (1/4 - 1/5) = 1/20
The cistern will be filled in 20/1 hrs i.e., 20 hrs.Answer: B
Answer: B
Question: Mr and Mrs A are opposite to each other.The distance between Mr A and Mrs A are 120 km.The speed of Mr A and Mrs A are 30 kmph, 10 kmph respectively.one Bee is running between Mr A nose to Mrs A nose and returning back to Mr A nose.The speed of Bee is 60 kmph. Then How far Bee traveled?
Options:
A)160km
B)170km
C)180km
D)190km
E)130km
Rationale: 30x+10X=120
X= 3 hrs
speed of bee=60kmph
distance traveled by bee=speed * time taken=60*3=180km
ANSWER:C
Answer: C
Question: x, y, and z are three positive integers whose average is 10. If x≤y≤z and z-x=3, which of the following could be the median W of x, y, and z?
I. 9
II. 10
III. 11
Options:
A)I only
B)II only
C)III only
D)I and II only
E)I and III only
Rationale: Average gives us an idea that 3 nos. are close to 10.
so 10, 10, 10 is an unacceptable option because (z-x =3), but it helps in getting other combinations.
Let us see options.
If 9 has to be median W.
1st term has to less than 9 or equal to 9. (also maintain z-x = 3)
9 9 12 --> satisfies all conditions so 9 can be a median value.
If 11 has to be a median
3rd term has to be 11 or more than 11. (also maintain z-x = 3)
8 11 11 -->satisfies all conditions so 9 can be a median value.
Now for 10 to be median.
z+ x = 20 and z-x = 3, we wont have integer values of z.
10 cannot be a median
E is the answer.
Answer: E
Question: Find the annual income derived by investing $ 6800 in 20% stock at 136.
Options:
A)550
B)1000
C)2500
D)300
E)4000
Rationale: By investing $ 136, income obtained = $ 20.
By investing $ 6800, income obtained = $ [(20/136)*6800] = $ 1000.
Answer B.
Answer: B
Question: If 10 gallons of grape juice are added to 40 gallons of a mixture, which contains 20 percent grape juice then what percent of the resulting mixture is grape juice?
Options:
A)14%
B)25%
C)28%
D)36%
E)50%
Rationale: OFFICIAL SOLUTION:
If we start with 40 gallons of a mixture that is 10% grape juice, then we have:
40 × 0.20 = 8 gallons of grape juice.
40 × 0.80 = 32 gallons of other components.
If we add 10 gallons of grape juice, we will end up with 18 gallons of grape juice and 32 gallons of other components, and we will have a total of 50 gallons of the mixture.
So 18/50 of the new mixture is grape juice. Now we convert this to a percent:Percent Grape Juice = 18/50 = 36/100= 36%.
The correct answer is choice (D)
Answer: D
Question: Frances can complete a job in 6 hours, and Joan can complete the same job in 12 hours. Frances starts the job at 9 a.m., and stops working at 1 p.m. If Joan starts working at 4 p.m. to complete the job, at what time is the job finished?
Options:
A)6 p.m.
B)7 p.m.
C)12 p.m.
D)10 p.m.
E)8 p.m.
Rationale: Let the total work be 24 units.
Frances can complete 4 units/hr
Joan can complete 2 units/hr
Work done by Frances in 4 hours is 16 units ; work left for Joan is 8 units ( 24 - 16)
Time required by Jones to complete the remaining work will be 8/2 => 4 hours
Given Jones starts at 4 PM , so she would complete the work at 8 PM
Answer will be (E)
Answer: E
Question: The population of a bacteria colony doubles every day. If it was started 7 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today?
Options:
A)128
B)256
C)512
D)1024
E)2048
Rationale: 2^7(2) = 2^8 = 256
The answer is B.
Answer: B
Question: What is the place value of 5 in the numeral 2534?
Options:
A)450
B)500
C)700
D)800
E)840
Rationale: Option 'B'
5 * 100 = 500
Answer: B
Question: A, B and C invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. A left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of B?
Options:
A)Rs 690
B)Rs 790
C)Rs 890
D)Rs 990
E)None of these
Rationale: Explanation:
A:B:C = (8000*6):(4000*8):(8000*8)
= 48:32:64
= 3:2:4
So B share = (2/9)*4005 = Rs 890
Option C
Answer: C
Question: At what rate percent on simple interest will Rs.415 amount to Rs.514 in 4 years ?
Options:
A)4.58 %
B)5.96 %
C)6.52 %
D)4.98 %
E)None of these
Rationale: Explanation:
Difference in amount = 514 - 415 = 99
99 = (415 x 4 x R)/100
R = 5.96%
ANSWER IS B
Answer: B
Question: A bank issued credit card numbers and the corresponding PIN (Personal Identification Number). Both are 3-digit numbers up to 996. Pinaki was the last to get the credit card and so he had the last possible credit card number.
He was afraid of forgetting his PIN. He wrote down the number 126 in his diary to remember his PIN. He also wrote out the way to calculate 126 : "Multiply the card number by PIN. Divide the product by 997. The remainder is 126".
Once, Prafull saw his diary in which Pinaki wrote this number 126. Prafull did a lot of purchasing, as he now knows Pinaki's PIN. What is Pinaki's PIN?
Options:
A)871
B)873
C)875
D)877
E)879
Rationale: Explanation :
Let, the PIN is x.
According to the question,
The card number =996 and Remainder =126.
Thus, (996 × x)/997=126.
=>x= 871.
Answer : A
Answer: A
Question: In a certain series, each term is m greater than the previous term. If the 22nd term is 560 and the 19th term is 500, what is the first term?
Options:
A)220
B)240
C)260
D)290
E)305
Rationale: a + 21m = 560 (22th term)
a + 18m = 500 (19th term)
You get a = 140 and m = 20
Answer :C
Answer: C
Question: In a college, 1 percent of students hate math, 2 percent of students hate English, 1 percent hate French and 4 percent hate German.
Can you find out the percentage of students who hate all 4 subjects ?
Options:
A)8%
B)5%
C)7%
D)12%
E)19%
Rationale: A
8% of student hate all four subjects.
Answer: A
Question: 7x + y = 19 , and x + 3y = 1. Find the value of 2x + y
Options:
A)20
B)18
C)11
D)5
E)50
Rationale: Add these two equations
8x + 4y = 20
Divide by 2 ( to Get 2x + y)
Answer will be D. 10
Answer: D
Question: The amount of water (in ml) that should be added to reduce 9 ml. Lotion, containing 50% alcohol, to a lotion containing 30% alcohol, is?
Options:
A)7
B)8
C)9
D)6
E)4
Rationale: 4.5 4.5
30% 70%
30% ----- 4.5
70% ------? => 10.5 - 4.5 = 6 ml
Answer: D
Answer: D
Question: Q. How many 5-digit even numbers less than 3,000,000 can be formed using the following digits: 1, 2, 2, 3, 5?
Options:
A)180
B)120
C)210
D)270
E)300
Rationale: the number is less than 3000000 so we will have the digit on the left most side to be either 1 or 2
i.e your number can be 1 _ _ _ _ _ _ or 2 _ _ _ _ _ _
case 1 > 1 _ _ _ _ _ _ here the units digit can be either 2 or 6
when the units digit is 2 i.e 1 _ _ _ _ _ 2
number of ways this can be done would be 5! / 2! (as 5 is repeated twice) = 60
when the units digit is 6 i.e. 1 _ _ _ _ _ 6, number of ways would be 5!/(2! * 2!) {both 2 and 5 repeat twice} = 30
case 2 > 2 _ _ _ _ _ _ (here units digit may be 2 or 6)
number of ways this can be done would be 5! / (2!) for 2 =60
and 5! / 2! for 6 ... = 60
adding all of these ... gives the answer 120 ...
the explanation looks difficult but this technique helps if you are familiar with the concept of permutations when the numbers/alphabets repeat
B
Answer: B
Question: 4 male farmers and 6 female farmers can cultivate a field in 8 days, while 3 male farmers and 7 female farmers can cultivate the field in 10 days. In how many days 10 female farmers can cultivate the same field?
Options:
A)10
B)20
C)30
D)40
E)50
Rationale: WORK DONE IN 1 DAY
4M+6F=1/8
3M+7F=1/10
SOLVING THIS WE GET F=1/400
SO IN 10 DAYS,WORK DONE IS 10/400,hence female farmers take 40 days to complete the work.
ANSWER:D
Answer: D
Question: Three persons A, B and C divide a certain amount of money such that A's share is Rs. 4 less than half of the total amount, B's share is Rs. 8 more than half of what is left and finally C takes the rest which is Rs. 14. Find the total amount they initially had with them?
Options:
A)27
B)92
C)80
D)82
E)83
Rationale: Let the total amount be Rs. p.
Let shares of A and B be Rs. x and Rs. y respectively.
C's share was Rs. 14
we have, x + y + 14 = p ----- (1)
From the given data, x = (p/2) - 4 ----- (2)
Remaining amount = p - (p/2 - 4) => p/2 + 4.
y = 1/2(p/2 + 4) + 8 => p/4 + 10 ----- (3)
From (1), (2) and (3)
p/2 - 4 + p/4 + 10 + 14 = p
3p/4 + 20 = p
p/4 = 20 => p = Rs. 80.
Answer: C
Answer: C
Question: A man's speed with the current is 15 km/hr and the speed of the current is 3.2 km/hr. The man's speed against the current is?
Options:
A)10
B)20
C)50
D)8.6
E)40
Rationale: Man's speed with the current = 15 km/hr
=> speed of the man + speed of the current = 15 km/hr
speed of the current is 3.2 km/hr
Hence, speed of the man = 15 - 3.2 = 11.8 km/hr
man's speed against the current = speed of the man - speed of the current
= 11.8 - 3.2 = 8.6 km/hr
Answer is D.
Answer: D
Question: 3/4 of 1/2 of 2/5 of 5080 = ?
Options:
A)392
B)229
C)753
D)493
E)762
Rationale: E
762
? = 5080 * (2/5) * (1/2) * (3/4) = 762
Answer: E
Question: A teacher grades students’ tests by subtracting twice the number of incorrect responses from the number of correct responses. If Student B answers each of the 100 questions on her test and receives a score of 73, how many questions did Student B answer correctly?
Options:
A)55
B)60
C)73
D)82
E)91
Rationale: A score of 73 brings to mind that it is an odd number even though you are subtracting an even number (twice the incorrect responses) out of the correct responses score. So the correct responses score must be an odd number too (Odd - Even = Odd).
Since the overall score is 73, the number of correct responses must be more than 73 since the student answered all questions.
Only 91 satisfies both these conditions.
Answer (E)
Answer: E
Question: A train 900 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?
Options:
A)288 m
B)256 m
C)400 m
D)278 m
E)287 m
Rationale: Speed = 78 * 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of the train be x meters.
Then, (900 + x)/60
= 65/3
x = 400 m.
Answer:C
Answer: C
Question: How many times in a day, the hands of a clock are straight?
Options:
A)22
B)24
C)44
D)48
E)52
Rationale: In 12 hours, the hands coincide or are in opposite direction 22 times.
In 24 hours, the hands coincide or are in opposite direction 44 times a day.
Answer: Option C
Answer: C
Question: How many odd numbers are possible between 1 to 1000000? find out the number of odd number of digits?
Options:
A)2999
B)3500
C)4000
D)4599
E)499999
Rationale: There are always one odd and one even no. And the question is odd no. Between 1 to 1000000
So we have to find no. Between 1 to 1000000 so we should not includes 1
1000000/2 -1=499999
ANSWER:E
Answer: E