divelab/Sys2Bench huggingface dataset:
Question: A car is traveling at uniform speed. The driver sees a milestone showing a two digit number which is a perfect square, after traveling for an hour the driver sees another milestone with the same digits in reverse order and after another hour the driver sees another milestone containing the same two digits as part of a three digit number. What is the speed of the car?
Options:
A)30 kmph
B)40 kmph
C)50 kmph
D)60 kmph
E)45 kmph
Rationale: first milestone driver see is 16,second is 61,&third is 106.
so total distance traveled by him=106-16=90km
time taken=2h
so speed=distance/time=90/2=45kmph
ANSWER:E
Answer: E
Question: If a, b, and c are integers and a*b^2/c is a positive even integer, which of the following must be true?
I. c is even
II. ab > 4
III. ab is even
Options:
A)I only
B)III only
C)I and II
D)I and III
E)I, II, and III
Rationale: Two ways this can happen: 1- Even/ Even= Even or 2- Even/Odd= Even
So Ab MUST be even, with either A or B being even, Ab does not have to be positive, as B could be negative and once it is raised to 2 it becomes positive again, and of course, C could be Odd or Even as described above.
III only.letter B
Answer: B
Question: 4^b + 4^b + 4^b + 4^b =
Options:
A)7^b
B)4^(b + 1)
C)7^(7b)
D)8^b
E)49^B
Rationale: Easy one.
4*4^b = 4^(b+1)
Ans. B
Answer: B
Question: A car starts from X and moves towards Y. At the same time another car starts from Y and moves towards X. Both travel at a constant speed and meet after 10 hours. During that time, the faster car traveled 2/3 of the distance XY. How long would it take the slower car to travel the distance XY?
Options:
A)6 hours
B)8 hours
C)30 hours
D)12 hours
E)15 hours
Rationale: If one car travelled 2/3, then the other car must have travelled only 1/3, as they are meeting after 10 hours in a certain point. So:
(1/3)XY= 10*y --> It took the car 10 hours to travel 1/3 of the distance at a constant speed y.
So if we solve this last equation:
XY= 3*10*y= 30*y --> It will take this car 30 hours in total to reach its final destination.
Answer: C
Answer: C
Question: A company pays project contractors a rate of a dollars for the first hour and b dollars for each additional hour after the first, where a > b.
In a given month, a contractor worked on two different projects that lasted 5 and 7 hours, respectively. The company has the option to pay for each project individually or for all the projects at the end of the month. Which arrangement would be cheaper for the company and how much would the company save?
Options:
A)Per month, with savings of $(4a + 4b)
B)Per month, with savings of $(4a - 4b)
C)The two options would cost an equal amount.
D)Per project, with savings of $(4a + 4b)
E)Per project, with savings of $(4a - 4b)
Rationale: Per Project, company will pay as follows:
For 5 hours work = a+4b
For 7 hours work = a+6b
Total = 2a+10b
Per Month, company will pay for 12 hours work = a+11b
Total per contract - total per month
5a+7b - (a+11b)
4a-4b
Since a>b Amount 5a+7b(per contract amount) > a+11b (per project amount) by 4a-4b.
Hence per month payment will be cheaper by 4a-4b .
OA B
Answer: B
Question: 15 - 2 + 4 ÷ 1/2 × 8 = ?
Options:
A)272
B)77
C)168
D)56
E)59
Rationale: Explanation:
15 - 2 + 4 ÷ 1/2 × 8 = 15 - 2 + 4 × 2 × 8 = 15 - 2 + 64 = 77
Answer: Option B
Answer: B
Question: What is the least value of x. So that 21x57 is divisible by 3.
Options:
A)2
B)0
C)1
D)3
E)4
Rationale: Explanation:
The sum of the digits of the number is divisible by 3, then the number is divisible by3.
2 + 1 + x + 5 + 7 = 15 + x
Least value of x may be 0
Therefore 15 + 0 = 15 is divisible by 3.
Answer: Option B
Answer: B
Question: Pipe A can fill a tank in 20 Mins and pipe B can fill it in 30 Mins. If both the pipes are opened in the empty tank. In how many Mins will it be fill exact half of the tank?
Options:
A)4 mins
B)5 mins
C)6 mins
D)7 mins
E)8 mins
Rationale: Part filled A in 1 hr= (1/20)
Part filled B in 1 hr= (1/30)
Part filled by (A+B) together in 1 hr=(1/20)+(1/30)=1/12
So, The tank will be full in 12 mins
Time taken to fill Exact half tank = 12/2 = 6 Mins.
Answer : C
Answer: C
Question: The area of playground is 5800 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) $162
D)d) $158.60
E)e) $160.70
Rationale: total volume * unit cost = total cost
or, 5800 * 0.01 * 2.8 = total cost = 162=C
Answer: C
Question: A certain scholarship committee awarded scholarships in the amounts of $1250, $2500 and $4000. The Committee awarded twice as many $2500 scholarships as $4000 and it awarded three times as many $1250 scholarships as $2500 scholarships. If the total of $75000 was awarded in $1250 scholarships, how many $4000 scholarships were awarded?
Options:
A)5
B)6
C)9
D)10
E)15
Rationale: Since the starting point is given as the $4000 scholarship,
Assume $4000 scholarships to be x
By the given information, $2500 scholarships = 2x
and $1250 scholarships = 6x
Gievn: Total $1250 scholarships = $75000
6x*1250 = 75000
Solve for x = 10
Option D
Answer: D
Question: A man in a train notices that he can count 21 telephone posts in one minute. If they are known to be 50 metres apart, then at what speed is the train travelling?
Options:
A)60km/hr
B)54km/hr
C)50km/hr
D)45km/hr
E)62km/hr
Rationale: Number of gaps between 21 telephone posts = 20
distance travelled in 1 minute = 50*20 = 1000m = 1km
speed = 60km/hr
Answer is A
Answer: A
Question: Look at this series: 5.2, 4.8, 4.4, 4, ... What number should come next?
Options:
A)3
B)3.3
C)3.5
D)3.6
E)None
Rationale: Explanation: In this simple subtraction series, each number decreases by 0.4.
Answer: Option D
Answer: D
Question: A tempo is insured to an extent of 4/5 of its original value. If the premium on it at the rate of 1.3% amounts to $910, The original value of the tempo is?
Options:
A)92500
B)75230
C)65990
D)45280
E)87500
Rationale: Let the original value of the tempo is $x
1.3% of 4/5 of x = 910
(13/10)*(1/100)*(4/5)x = 910
x = $ 87500
Answer is E
Answer: E
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: A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
Options:
A)27
B)89
C)29
D)20
E)22
Rationale: Speed = 240/24 = 10 m/sec.
Required time = (240 + 650)/10
= 89 sec.
Answer:B
Answer: B
Question: #p is defined as 2p+20 for any number p. What is p, if #(#(#p))=-4?
Options:
A)–108
B)–44
C)10
D)-18
E)18
Rationale: #p = 2p+20 --->#(#p) = 2(2p+20)+20 = 4p+60 and thus #(4p+60) = 2(4p+60)+20 = 8p+140 = -4 ---> 8p= -144 ---> p = -18, D is the correct answer.
Answer: D
Question: When x - p is divided by p - 2, the quotient is n and there is no remainder. Which of the following must be the value of x?
Options:
A)n(p +1)
B)n(p − 1)
C)p(n + 1) + 2n
D)p(n - 1) + n
E)n(p + 1) (p − 1)
Rationale: Given in question (x-p)/p-2= n
=> x-p= n(p-2)
=>x= np+2n+p
or x= np+p+2n
Now we are good to check the options
x= p(n+1) + 2n
Answer C
Answer: C
Question: Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Options:
A)1245
B)1345
C)1455
D)1577
E)1635
Rationale: Let the smaller number be x. Then larger number = (x + 1365).
x + 1365 = 6x + 15
5x = 1350
x = 270
Large number = 270+1365 = 1635
E
Answer: E
Question: A group of people participate in some curriculum, 25 of them practice Yoga, 15 study cooking, 8 study weaving, 2 of them study cooking only, 7 of them study both the cooking and yoga, 3 of them participate all curriculums. How many people study both cooking and weaving?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: Both cooking and weaving = 15 - (2+3+7) = 3
So, the correct answer is C.
Answer: C
Question: A walks at 30 kmph and 30 hours after his start, B cycles after him at 50 kmph. How far from the start does B catch up with A?
Options:
A)1200km
B)1500km
C)2000km
D)2250km
E)3600km
Rationale: Suppose after x km from the start B catches up with A. Then, the difference in the time taken by A to cover x km and that taken by B to cover x km is 30 hours.
x/30 - x/50 = 30
x = 2250 km
Answer is D
Answer: D
Question: A man cycled 25 kilometer in 1 hour 40 minutes. what was the average speed of cylcle in kilometer per hour?
Options:
A)7 miles / hour
B)9 miles / hour
C)10 miles / hour
D)13 miles / hour
E)15 miles / hour
Rationale: We first convert the time of 1 hours 10 minutes in minutes
1 hours 10 minutes = 1* 60 + 40 = 100 minutes
Average speed S is given by distance / time. Hence
S = 25 miles / 100 minutes = 0.25 mile / minute
= 15 miles / hour
correct answer E
Answer: E
Question: Two trains having equal lengths, take 10 seconds and 15 seconds respectively to cross a post. If the length of each train is 120 meters, in what time (in seconds) will they cross each other when traveling in opposite direction?
Options:
A)10
B)25
C)12
D)20
E)30
Rationale: Explanation:
Speed of train 1 = 12 m/sec
Speed of train 2 = 8 m/sec
if they travel in opposite direction, relative speed = 12 + 8 = 20 m/sec
distance covered = 120 + 120 = 240 m
time = distance/speed = 240/20 = 12 sec
ANSWER IS C
Answer: C
Question: Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is?
Options:
A)36
B)56
C)65
D)75
E)35
Rationale: (3x-9):(5x-9) = 9:17
x = 12 => 3x = 36
Answer:A
Answer: A
Question: A man swims downstream 18 km and upstream 12 km taking 3 hours each time, what is the speed of the man in still water?
Options:
A)3
B)5
C)6
D)4
E)8
Rationale: 18 --- 3 DS = 6
? ---- 1
12 ---- 3 US =4
? ---- 1 M = ?
M = (6+4)/2 = 5
Answer: B
Answer: B
Question: Find the number such that when 15 is subtracted from 7 times the number,the result is 10 more than twice the number?
Options:
A)4
B)3
C)5
D)2
E)6
Rationale: Let the number be x.
7x-15=2x+10
7x-2x=15+10
5x=25
x=5
answer is option C
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?
Options:
A)1/13
B)2/21
C)5/26
D)3/25
E)3/28
Rationale: P(Both are red),
=6C213C2=6C213C2
=5/26
C
Answer: C
Question: A train sets off at 9:00 am at the speed of 70 km/h. Another train starts at 9:30 am in the same direction at the rate of 80 km/h. At what time will the second train catch the first train?
Options:
A)12:30
B)1:00
C)1:30
D)2:00
E)2:30
Rationale: In thirty minutes the first train travels 35 km.
The second train catches the first train at a rate of 80 km/h - 70 km/h = 10 km/h.
The second train will catch the first train in 35/10 = 3.5 hours, so at 1:00 pm.
The answer is B.
Answer: B
Question: A 250 meter long train crosses a man standing on the platform in 12 sec. What is the speed of the train?
Options:
A)228
B)108
C)1266
D)75
E)211
Rationale: S = 250/12 * 18/5 = 75kmph
Answer: D
Answer: D
Question: While flying over the Pacific, an airplane makes a 25° turn to the right to avoid a storm. If, as a result, the airplane is traveling in a direction 15° east of north, in what direction was it originally flying?
Options:
A)(a) 30° west of north
B)(b) 30° east of north
C)(c) 10° west of north
D)(d) 10° east of north
E)(e) 5° west of north
Rationale: If after a turn of 25° you are 15°NEast, with a 10° turn you would be perfectly pointing at north. So you were, before the turn, 10° to the other side (West).
Answer C)
Answer: C
Question: A can do a piece of work in 30 days while B can do it in 40 days. In how many days will they finish it together?
Options:
A)120/7
B)95/8
C)123/9
D)150/7
E)None
Rationale: 1/30 + 1/40 = 7/120
Both can finish the work in 120/7 days
Answer: A
Answer: A
Question: Robert's salary was decreased by 70% and subsequently increased by 70%. how much percentage does he lose?
Options:
A)10%
B)20%
C)25%
D)30%
E)49%
Rationale: let original salary be $100
Salary after decreasing 70% = 100 - 100 x 70/100 = $30
Salary after increasing 70% on $30 = 30 + 30 x 70/100 = $51
Percentage of loss = 100 - 51 = 49%
Answer : E
Answer: E
Question: Tough and Tricky questions: Remainders.
1^1 + 2^2 + 3^3 + ... + 6^6 is divided by 5. What is the remainder?
Options:
A)0
B)1
C)2
D)3
E)4
Rationale: a number is divisible by 5, if its last digit is divisible by 5
let's look into the sum of last digits of each term of the given expression
1^1=1
2^2=4
3^3=7
4^4=6
5^5=5
6^6=6
adding all these numbers we get 29 which gives a remainder of 4 when divided by 5. so answer must be 4.
bunuel, can you please confirm the answer of this question.
Yes, the OA is C. Clicked the wrong button when posting. Edited. Thank you.
E
Answer: E
Question: A work can be finished in 30 days by 30 women. The same work can be finished in fifteen days by 15 men. The ratio between the capacity of a man and a woman is
Options:
A)1:3
B)4:3
C)2:3
D)4:1
E)2:4
Rationale: Work done by 30 women in 1 day = 1/30
Work done by 1 woman in 1 day = 1/(30×30)
Work done by 15 men in 1 day = 1/15
Work done by 1 man in 1 day = 1/(15×15)
Ratio of the capacity of a man and woman =1/(15×15) : 1/(30×30)) = 1/225 : 1/900
= 1/1 :1/4 = 4:1
Option D
Answer: D
Question: Simplfy
b - [b -(a+b) - {b - (b - a+b)} + a]
Options:
A)a
B)2a
C)4a
D)0
E)1
Rationale: Explanation:
b-[b-(a+b)-{b-(b-a+b)}+a]
=b-[b-a-b-{b-(2b-a)}+a]
=b-[-a-{b-2b+a}+a]
=b-[-a-{-b+a}+a]
=b-[-a+b-a+a]
=b-[-2a+b+a]
=b-b+a
=a
Option A
Answer: A
Question: Two carpenters, working in the same pace, can build 2 desks in two hours and a half. How many desks can 4 carpenters build in 5 hours?
Options:
A)2.4.
B)3.6.
C)4.2.
D)8.
E)6.4
Rationale: W = 2 desks
T = 2.5 hrs
Rate of 2 carpenters = 2×R
Rate = work done/ time
2xR = 2/2.5
R = 1/2.5 = 2/5 (this is the rate of each carpenter)
Work done by 4 carpenters in 5 hrs = 4 × rate of each carpenter x time = 4× 2/5 × 5= 8 desks
D is the correct answer.
Answer: D
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
Options:
A)2.99
B)2.88
C)2.91
D)2.77
E)2.11
Rationale: M = 6
S = 1.2
DS = 6 + 1.2 = 7.2
US = 6 - 1.2 = 4.8
x/7.2 + x/4.8 = 1
x = 2.88
Answer:B
Answer: B
Question: 9.7 , 9.7 , 9.9 , 9.9 , 10.0 , 10.1 , 10.2 , 10.5
The mean and the standard deviation of the 8 numbers shown above is 10 and 0.25 respectively. What percent of the 8 numbers are within 1 standard deviation of the mean?
Options:
A)90%
B)85%
C)80%
D)75%
E)70%
Rationale: Within 1 standard deviation of the mean- means in the range {mean-1*sd; mean+1*sd} = {10-1*0.25; 10+0.25} = {9.75; 10.25}.
From the 8 listed numbers, 5 are within this range so 5/8=75%.
Answer: D.
Answer: D
Question: Four-ninths of a drink mix is dye and the rest is sugar. When the mix is added to water a gallon of drink is made that is 6% sugar. What percentage of the gallon is dye?
Options:
A) 6
B) 6.5
C) 7.5
D) 4.8
E) 24
Rationale: The proportion of Dye and sugar will remain constant.
Dye/Sugar = (4/9)/(5/9) = x/6
=> 4/5 = x/6 => x = 4*6/5 = 4.8
Answer is D.
Answer: D
Question: A library has an average of 630 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:
Options:
A)250
B)305
C)280
D)285
E)None
Rationale: Since the month begins with sunday,to there will be five sundays in the month
Average required = (630x5 + 240x25 /30) = 305
Answer: Option B
Answer: B
Question: Of the 200 employees in a certain company, 30 percent will be relocated to City X and the remaining 70 percent will be relocated to City Y. However, 40 percent of the employees prefer City Y and 60 percent prefer City X. What is the highest possible number of employees who will be relocated to the city they prefer?
Options:
A) 115
B) 120
C) 140
D) 152
E) 165
Rationale: 120 prefer X (Group 1);
80 prefer Y (Group 2).
City Y needs 140 people: letall 80 who prefer Y (entire Group 2) be relocated there, the rest 60 will be those who prefer X from Group 1;
City X needs 60 people: 120-60=60 from Group 1 will be relocated to X, which they prefer.
So, the highest possible number of employees who will be relocated to the city they prefer is 80+60=140.
Answer: C.
Answer: C
Question: Water is poured into a tank so that the tank is being filled at the rate of 5 cubic feet per hour. If the empty rectangular tank is 10 feet long, 6 feet wide, and 5 feet deep, approximately how many hours does it take to fill the tank?
Options:
A)40
B)45
C)50
D)55
E)60
Rationale: The volume the tank is: length*width*depth = 10*6*5= 300 cubic feet.
300 cubic feet / 5 cubic feet per hour = 60 hours.
It will take 60 hours to fill the tank.
The answer is E.
Answer: E
Question: The length and breadth of a rectangle is increased by 3% and 6% respectively. What is the increase in the area?
Options:
A)9.18
B)9.25
C)9.5
D)8.98
E)8.88
Rationale: 100*100=10000
103*106=10918
-----------
918
10000-------918
100----------9.18
Ans A
Answer: A
Question: One machine takes 3 minutes to check fault in 100 km fiber optic cable.Another machine does the same job in 3 seconds.What time will it take to do the same job when both machines are put to work?
Options:
A)2.00 seconds
B)2.20 seconds
C)2.50 seconds
D)2.95 seconds
E)3.00 seconds
Rationale: By guess it is clear that the time taken will be less than 3 seconds and very near to it. Therefore, answer 2.95 seconds will be correct. Answer-D
Answer: D
Question: A can do a piece of work in 40 days; B can do the same in 30 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in?
Options:
A)24 days
B)65 days
C)86 days
D)45 days
E)17 days
Rationale: 10/40 + 10/30 + 10/x = 1
x = 24 days
Answer:A
Answer: A
Question: A straight pipe 2 yard in length was marked off in fourths and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?
Options:
A) 1/6 and 1/4 only
B) 1/4 and 1/3 only
C) 1/6, 1/4, and 1/3
D) 1/12, 1/6 and 1/4
E) 1/12, 1/6, and 1/3
Rationale: Since we want to find the fractions, we can assume some other length of the pipe which will make calculation easier. Take the length of the pipe to be 12-meter long (the least common multiple of 3 and 4.
In this case the branch would be cut at3,4, 6,8, and 9meters (in black are given fourths of the length and in red thirds of the length).
Distinct lengths would be: 3=3/12=1/3, 4-3=1=1/12and 6-4=2=2/12=1/6meters long pieces.
Answer: E.
Answer: E
Question: A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed amount A, B and C?
Options:
A)3 : 5 : 2
B)3 : 5 : 5
C)6 : 10 : 5
D)None of these
E)Cannot be determined
Rationale: Solution
Let the initial investments of A and B be 3x and 5x.
A : B : C	=(3x ×12):(5x ×12):(5x×6)
= 36 : 60 : 30
= 6 : 10 : 5.
Answer C
Answer: C
Question: How is 3% expressed as a decimal fraction?
Options:
A)0.3
B)0.03
C)0.003
D)0.0003
E)3
Rationale: 3/100= 0.03
ANSWER:B
Answer: B
Question: What should come in place of the question mark (?) in the following number series?
11 21 33 47 63 ?
Options:
A)80
B)81
C)82
D)83
E)84
Rationale: The numbers increase by 10, 12, 14, 16,...
The next number should be 63+18 = 81
The answer is B.
Answer: B
Question: If f(x)=4x−1 and g(x)=2x+4 for all integers, which of the following is a possible value of g(f(x))?
Options:
A)-23
B)-17
C)0
D)18
E)22
Rationale: g(f(x)) = 2*f(x)+4 = 2*(4x-1)+4 = 8x+2
Of these five options, only 18 has the form 8x+2.
The answer is D.
Answer: D
Question: A committee that includes 8 members is about to be divided into 2 subcommittees with 4 members each. On what percent of the possible subcommittees that Michael is a member of is Annie also a member?
Options:
A)43%
B)39%
C)35%
D)31%
E)27%
Rationale: Michael is a member of one of the subcommittees.
P(Annie is on the same subcommittee) = 3/7 which is about 43%.
The answer is A.
Answer: A
Question: The sale price at which a store sells an article is 25% more than its cost price. If the sale price is an integer, which of the following cannot be the cost price?
Options:
A)$28
B)$40
C)$56
D)$63
E)$72
Rationale: Sale Price = (5/4)*(Cost Price)
If the sale price is an integer, then the cost price must be divisible by 4.
The answer is D.
Answer: D
Question: If 'Pink' is called 'Orange', 'Orange' is called 'Blue', 'Blue' is called 'Red', 'Red' is called 'Green', 'Green' is called 'Black' and 'Black' is called 'white', what would be the color of water ?
Options:
A)Red
B)BLUE
C)PINK
D)ORANCE
E)BLACK
Rationale: Explanation:
Pink → Orange
Orange → Blue
Blue → Red
Red → Green
Green → Black
Black → White
The color of water is 'Blue' but in coding language, 'Blue' is called 'Red'.
ANSWER: A
Answer: A
Question: A candidate got 35% of the votes polled and he lost to his rival by 2430 votes. How many votes were cast?
Options:
A)7500
B)3388
C)8100
D)2888
E)2661
Rationale: 35%-----------L
65%-----------W
------------------
30%----------2430
100%---------? => 8100
Answer: C
Answer: C
Question: Suppose there is a number 235 such that sum of first two digits is equal to the third digit. How many such 3 digits numbers are possible?
Options:
A)42
B)43
C)44
D)45
E)46
Rationale: As we know that total digits are
0 ,1, 2, 3,4,5,6,7,8,9
if three digit no is xyz
this means x+y=z must hold
so we have to select two no out of 10
ans is 10 c 2=45
ANSWER:D
Answer: D
Question: If all the sides of a right triangle increase in length by 20%, then by what percentage does the area of the triangle increase?
Options:
A)36%
B)44%
C)50%
D)64%
E)80%
Rationale: Let B be the base and H be the height of the original triangle.
The original area is (1/2)BH.
The area of the expanded triangle is (1/2)(1.2B)(1.2H) = (1.2)(1.2)(1/2)BH = 1.44(1/2)BH
The answer is B.
Answer: B
Question: The average age of seven persons sitting in a row facing east is 28 years. If the average age of the first three persons is 21 years and the average age of the last three persons is 34 years, then find the age of the person sitting in the middle of the row?
Options:
A)22
B)31
C)66
D)78
E)76
Rationale: Total age seven persons = (28 * 7)years
Total age of the first three persons and the last three persons are (21 * 3) years and (34 * 3) years respectively.
Age of the person sitting in the middle of the row = 28 * 7 - 21 * 3 - 34 * 3 = 196 - 63 - 102 = 31 years.Answer: B
Answer: B
Question: A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
Options:
A)16
B)55
C)72
D)88
E)12
Rationale: Length = Speed * time
Speed = L/T
S = 400/20
S = 20 M/Sec
Speed= 20*18/5 (To convert M/Sec in to Kmph multiply by 18/5)
Speed = 72 Kmph
Answer: C
Answer: C
Question: 26
a2
+2b
___
99
If a and b represent positive single digits in the correctly worked computation above, what is the value of the two digit integer ab?
Options:
A)345
B)45
C)51
D)43
E)34
Rationale: 6+2+b=9
b=1
2+a+2=9
a=5
ab=51
ans=C
Answer: C
Question: Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
Options:
A)14%
B)16%
C)18%
D)22%
E)None of these
Rationale: Total CP = Rs. 42000 + Rs. 13000 = Rs. 55000 and SP = Rs. 64900
Profit(%) = (64900 - 55000)/55000 * 100 = 18%
ANSWER:C
Answer: C
Question: At a conference table, 6 employees gather around a table. One of the employees is the manager and he sits at the head of the table. Two of the employees sit on either side of the table. How many different seating arrangements can be made with these six employees?
Options:
A)60
B)80
C)100
D)120
E)140
Rationale: Head's sit is fixed. Now 5 people is left with 5 seats.
5 people can sit on 5 seats in 5! ways or 120 ways.
Ans is D
Answer: D