divelab/Sys2Bench huggingface dataset:
Question: If 5 (A's capital) = 7 (B's capital) = 9 (C's capital). Then the ratio of their capitals is?
Options:
A)63:55:35
B)63:45:38
C)62:45:35
D)63:45:35
E)63:44:35
Rationale: 5A = 7B = 9C
A:B:C = 1/5:1/7:1/9
= 63:45:35
Answer: D
Answer: D
Question: At a dinner party, 7 people are to be seated around a circular table. Two seating arrangement are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?
Options:
A)5
B)10
C)720
D)32
E)120
Rationale: Has to be C.
Simple formula: There are (n - 1)! ways to arrange n distinct objects in a circle
hence (7-1)! = 6!= 720
Answer: C
Question: Find: S.l on Rs 68000 at 16 2/3%per annum for 9 months
Options:
A)6500
B)7500
C)8500
D)9500
E)9000
Rationale: Explanation:
P = 68000, R =50/3% & T=9 months (3/4 years)
S.I=(68000 *50/3 * 3/4)/100=Rs.8500
ANSWER IS C
Answer: C
Question: If four coins are tossed, the probability of getting two heads and two tails is ?
Options:
A)3/8
B)3/5
C)3/2
D)3/1
E)3/9
Rationale: Since four coins are tossed, sample space = 24
Getting two heads and two tails can happen in six ways.
n(E) = six ways
p(E) = 6/24 = 3/8
Answer:A
Answer: A
Question: Worker A takes 5 hours to do a job. Worker B takes 10 hours to do the same job. How long it take both A & B, working together but independently, to do the same job?
Options:
A)20/9
B)40/9
C)50/9
D)60/9
E)10/3
Rationale: one day work of A = 1/5
one day work of B = 1/10
so one day work of A and B together = 1/5 + 1/10 = 3/10
so total days required = 10/3
ANSWER:E
Answer: E
Question: A consignment of 20 picture tubes contains 5 defectives. Two tubes are selected one after the other at random. The probability that both are defective assuming that the first tube is not replaced before drawing
the second, would be:
Options:
A)1/16
B)1/19
C)1/4
D)1/3
E)none of these
Rationale: Probability of drawing a defective tube in first draw is 5/20
Probability of drawing a defective tube in second draw (without replacing first tube) is 4/19.
Therefore probability of getting both defective is = (5/20)*(4/19) = 1/19
ANSWER:B
Answer: B
Question: A grocer has 400 pounds of coffee in stock, 20 percent of which is decaffeinated. If the grocer buys another 100 pounds of coffee of which 50 percent is decaffeinated, what percent, by weight, of the grocer’s stock of coffee is decaffeinated?
Options:
A)26%
B)30%
C)32%
D)34%
E)40%
Rationale: 1. 20% of 400=80 pounds of decaffeinated coffee
2. 50% of 100=50 pounds of decaffeinated coffee
3. Wt have 130 pounds of decaffeinated out of 500 pounds, that means 130/500*100%=26%. The correct answer is A.
Answer: A
Question: A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interest. The rate per annum is?
Options:
A)5 5/9 %
B)5 5/6 %
C)5 8/9 %
D)5 1/9 %
E)5 5/5 %
Rationale: Let sum = x. Then, amount = 7x/6
S.I. = 7x/6 - x = x/6; Time = 3 years.
Rate = (100 * x) / (x * 6 * 3) = 5 5/9 %.
Answer: A
Answer: A
Question: By selling 12 pencils for a rupee a man loses 12%. How many for a rupee should he sell in order to gain 18%?
Options:
A)12
B)9
C)10
D)89
E)81
Rationale: 88% --- 12
112% --- ?
88/112 * 12 = 9
Answer: A
Answer: A
Question: On a certain island, 5% of the 10000 inhabitants are one-legged and half of the others go barefooted. What is the least number of Shoes needed in the island?
Options:
A)9000
B)10000
C)9500
D)9700
E)9900
Rationale: one-legged =5% of 10000=500
remaining=10000-500=9500
barefooted=9500/2=4750
remaining people= 9500-4750=4750
hence required number of shoes= 4750*2+500*1=10000
ANSWER:B
Answer: B
Question: In what ratio should a variety of rice costing Rs. 6 per kg be mixed with another variety of rice costing Rs. 8.75 per kg to obtain a mixture costing Rs. 7.50 per kg?
Options:
A)5/6
B)5/9
C)5/0
D)5/3
E)5/8
Rationale: Explanation:
Let us say the ratio of the quantities of cheaper and dearer varieties = x : y
By the rule of allegation, x/y = (87.5 - 7.50) / (7.50 - 6) = 5/6
Answer: Option A
Answer: A
Question: A sauce is composed of tomato, chilly, and soybean. To make 10 kg of sauce containing twice as much tomato as chilly, and three times as much chilly as soybean how many grams of chilly is required? (1kg=1000gm)
Options:
A)1200gm
B)700gm
C)600gm
D)150gm
E)1000gm
Rationale: 1kg=1000gm
10kg=10,000
tomato=2 chilly
chilly=3 soybean
tomato+chilly+soybean=10,000
2 chilly+chilly+1/3 chilly=10,000
10 chilly=10,000
chilly=1000gm
Answer is E
Answer: E
Question: If the average (arithmetic mean) of a list of numbers is 12 and the standard deviation of that list of numbers is 1.3, then which of the following numbers is more than two standard deviations from the mean?
I. 14.7
II. 9.2
III. 9.7
Options:
A)I only
B)I and II only
C)II only
D)III only
E)I and III only
Rationale: Mean = 12
SD = 1.3
2 SD above mean = 12+2*1.3 = 14.6
2 SD below mean = 12-2*1.3 = 9.4
only 9.7 lies in the range of 2SD from mean
Answer: Option B
Answer: B
Question: Find the product of the localvalue and absolutevalue of 1 in 20168?
Options:
A)100
B)110
C)151
D)120
E)140
Rationale: Local value of 1 = 1 x 100 = 100
Place value of 1 = 1
There fore = 1 x 100 = 100
A
Answer: A
Question: A motor cyclist participant of a race says "We drove with the speed of 15 miles an hour one way, but while returning because of less traffic we drove on the same route with 21 miles per hour." What was their average speed in the whole journey?
Options:
A)10 miles/hour
B)12 miles/hour
C)11 miles/hour
D)13 miles/hour
E)17.5 miles/hour
Rationale: 2xy/x+y=17.5 miles/hour
ANSWER:E
Answer: E
Question: On multiplying a number B by 153, the result obtained was 102325. However, it is found that both the 2's are wrong. Find the correct result.
Options:
A)104345
B)107375
C)108385
D)109395
E)105355
Rationale: The only thing you actually know about the correct number B is that it is divisible by 153 and has 5 as a factor.
You should immediately try to find the factors of 153 and look for them in the options.
153 = 9*17
Divisibility by 9 is easy to check. Only (D) satisfies.
Answer: D
Question: P , Q, R enter into a partnership & their share are in the ratio 1/2 : 1/3 : 1/4 , after two months , P withdraws half of the capitals & after 10 months , a profit of Rs 336 is divided among them . What is R's share?
Options:
A)96
B)120
C)134
D)144
E)None of these
Rationale: Explanation :
The ratio of their initial investment = 1/2 : 1/3 : 1/4
= 6 : 4: 3
Let's take the initial investment of P, Q and R as 6x, 4x and 3x respectively
A:B:C = (6x * 2 + 3x * 10) : 4x*12 : 3x*12
= (12+30) : 4*12 : 3*12
=(4+10) : 4*4 : 12
= 14 : 16 : 12
= 7 : 8 : 6
R's share = 336 * (6/21) = 96. Answer : Option A
Answer: A
Question: The income derived from a Rs. 100, 13% stock at Rs. 105,is :
Options:
A)Rs. 5
B)Rs. 8
C)Rs. 13
D)Rs. 18
E)Rs. 19
Rationale: Solution
Income on Rs. 100 stock = Rs. 13
Answer C
Answer: C
Question: If y = 2 + 2K and y≠0y≠0, then 5/y + 3/y + 1/y + 1/y = ?
Options:
A)1/(8+8k)
B)5/(1+k)
C)1/(8+k)
D)4/(8+k)
E)4/(1+k)
Rationale: 5/Y + 3/Y + 1/Y + 1/Y
= 10/Y
= 10/(2 + 2K)
= 5/(1 + K)
ANSWER:B
Answer: B
Question: If there are 6 men and 55 tasks , how many tasks will be left undone if they perform equal number of tasks?
Options:
A)5
B)2
C)3
D)1
E)4
Rationale: There are 6 men
There are 55 tasks
If they perform equal number of tasks, divide 55 by 6 and the remainder will be the number of tasks left undone
55 = (6 x 9) + 1
So 1 task is left undone
ANSWER D
Answer: D
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 900 m long?
Options:
A)266 Sec
B)210 Sec
C)776 Sec
D)166 Sec
E)997 Sec
Rationale: L = S*T
S= 1200/120
S= 10 m/Sec.
Total length (D)= 2100 m
T = D/S
T = 2100/10
T = 210 Sec
Answer: B
Answer: B
Question: The expression (a+b+c)10 is expanded and simplified. How many terms are in the resulting
expression?
Options:
A)30
B)44
C)55
D)66
E)133
Rationale: (a+b+c)10 = [(a+b)+c]10. Let x = a+b. We see that (x+c)10 = x10+10x9c+
+ c10 has 11 distinct terms. Also, the ith term of this expansion has 11 - i distinct terms
(since x10-i = (a + b)10-i has 11 - i distinct terms). Hence there are 11 + 10 +...+ 1 = 66
terms in this expansion.
correct answer D
Answer: D
Question: How many integer values Q are there for x such that 1 < 3x + 5 < 17?
Options:
A)Two
B)Three
C)Four
D)Five
E)Six
Rationale: 1 < 3x + 5 < 17
=> -4 < 3x < 12
=> -4/3 < x < 4
x can take integer values Q=-1,0 , 1 , 2 , 3
Answer D
Answer: D
Question: In a 500 m race, the ratio of speeds of two runners P and Q is 3:5. P has a start of 200 m then the distance between P and Q at the finish of the race is:
Options:
A)Both reach at the same time
B)P wins by 100 m
C)Q wins by 50 m
D)Q wins by 100 m
E)None of these
Rationale: Explanation :
When P starts running for 300 m and Q for 500 m then, the ratio of speeds of P and Q is 3 : 5.
According to question P has already covered 200 m when Q is starting at starting point and Q needs to cove 300 m more mean while P covers this 300 m when Q can cover 500 m. So, both P and Q will reach the finishing point at the same time.
Thus, Both reach at the same time.
Answer : A
Answer: A
Question: Andy solves problems 75 to 125 inclusive in a Math exercise. How many problems does he solve?
Options:
A)53
B)52
C)51
D)50
E)49
Rationale: 125-75+1= 51
'C' is the answer
Answer: C
Question: 0,1,2.9,5.61,9.05,?
Options:
A)11.15
B)12.15
C)13.15
D)14.15
E)15.15
Rationale: The series is 0, 1, 2.9, 5.61, 9.05, ...
Fisrt oder differences are 1, 1.9, 2.71, 3.44, ...
Second order differences are 0.9, 0.81, 0.73, ...
Note that the second order differences are powers of 0.9 (0.9, 0.81, 0.729, ...), rounded off to two decimal digits. So next term in second order difference is 0.9^4 = 0.6561 = 0.66. Then, the next term in first order difference is 3.44+0.66 = 4.1. So, the term in the series is 9.05+4.1 = 13.15
ANSWER:C
Answer: C
Question: There are 6 boxes numbered 1, 2,…,.6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is
Options:
A)21
B)52
C)45
D)63
E)23
Rationale: List down possibilities: From only 1 box all the way to all 6
If only one of the boxes has a green ball, it can be any of the 6 boxes. So, we have 6 possibilities.
If two of the boxes have green balls and then there are 5 consecutive sets of 2 boxes. 12, 23, 34, 45, 56.
If 3 of the boxes have green balls, there are 4 possibilities: 123, 234, 345, 456.
If 4 boxes have green balls, there are 3 possibilities: 1234, 2345, 3456.
If 5 boxes have green balls, there are 2 possibilities: 12345, 23456.
If all 6 boxes have green balls, there is just 1 possibility.
Total number of possibilities = 6 + 5 + 4 + 3 + 2 + 1 = 21.
Ans: A
Answer: A
Question: How long does a train 110 m long traveling at 90 kmph takes to cross a bridge of 170 m in length?
Options:
A)sec
B)sec
C)sec
D)sec
E)sec
Rationale: D = 110 + 170 = 280 m
S = 90 * 5/18 = 50/2
T = 280 * 2/50= 11.2 sec
Answer: D
Answer: D
Question: A certain NYC taxi driver has decided to start charging a rate of r cents per person per mile. How much, in dollars, would it cost 6 people to travel x miles if he decides to give them a 50% discount?
Options:
A)3xr/100
B)3x/200r
C)3r/200x
D)3xr/200
E)xr/600
Rationale: 6xr/2 is in cents - 6xr/200 dollars = 3xr/100 dollars
Answer : A
Answer: A
Question: Nine persons went to a hotel for taking their meals. Eight of them spent 16 each on their meals and the ninth spend 8 more than the average expenditure of all the nine. What was the total money spent by them?
Options:
A)115
B)117
C)119
D)122
E)153
Rationale: Let the average expenditure of all the nine be x.
Then, 16 × 8 + (x + 8) = 9x or 8x = 136 or x = 17.
∴ Total money spent = 9x = (9 × 17) = 153.
Answer E
Answer: E
Question: In Township K each property is taxed at 8 percent of its assessed value. If the assessed value of a property in Township K is increased from $20,000 to $24,000, by how much will the property tax increase?
Options:
A)$32
B)$50
C)$320
D)$400
E)$500
Rationale: Property tax as a percentage of its assessed value = 8%
Increase in assessed value of the property = 24000 - 20000 = 4,000 $
Increase in property tax = (8/100)* 4000 = 320 $
Answer C
Answer: C
Question: A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Options:
A)100
B)110
C)120
D)130
E)140
Rationale: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec = 20 m/sec.
Length of the train = 20 * 6 = 120 m.
Answer: Option C
Answer: C
Question: A fruit vendor purchased 20 dozens of apples at $15 per dozen. But one-fourth of the apples were rotten and had to be thrown away. He sold two-third of the remaining apples at a$22.50 per dozen. At what price per dozen should he sell the remaining apples to make neither a profit nor a loss?
Options:
A)$17
B)$14
C)$15
D)$18
E)$20
Rationale: C
$15
CP of 20 dozen of apples = 15 * 20 = $300
Number of apples which are rotten = 1/4 * 20 = 5 dozen.
SP of two-third of remaining apples = (2/3 * 15) * 22.5 = $225
SP of remaining 5 dozens of apples to make no profit and no loss =(300 - 225) = $75.
SP of 1 dozen apples = 75/5 = $15.
Answer: C
Question: A person crosses a 1080 m long street in 10 minutes. What is his speed in km per hour?
Options:
A)4.1
B)6.4
C)4.8
D)5.4
E)5.5
Rationale: Speed = 1080/(10x60) m/sec
= 1.8 m/sec.
Converting m/sec to km/hr =1.8 x(18/5) km/hr
= 6.4 km/hr.
ANSWER :B
Answer: B
Question: 1 + 9 + 8 = ? considering, 28 + 8 + 92 = 10
what is....?
Options:
A)7
B)8
C)9
D)6
E)10
Rationale: Equation 28 + 8 + 92 = 10 can be derived from
twenty eight(t) + eight(e) + ninetytwo (n) = ten => 10
Similarly for equation,
1 + 9 + 8
One (o) + nine (n) + eight (e) => one (1)
correct answer is E)10
Answer: E
Question: If nn is a positive integer and (n+1)(n+3)(n+1)(n+3) is odd, then (n+2)(n+4)(n+2)(n+4) must be a multiple of which one of the following?
Options:
A)2
B)4
C)5
D)8
E)9
Rationale: (n+1)(n+3)(n+1)(n+3) is odd only when both (n+1)(n+1) and (n+3)(n+3) are odd. This is possible only when nn is even.
Hence, n=2mn=2m, where mm is a positive integer. Then,
(n+2)(n+4)=(2m+2)(2m+4)=2(m+1)2(m+2)=4(m+1)(m+2)(n+2)(n+4)=(2m+2)(2m+4)=2(m+1)2(m+2)=4(m+1)(m+2)
=4 * (product of two consecutive positive integers, one which must be even)=4 * (product of two consecutive positive integers, one which must be even) =4 * (an even number), and this equals a number that is at least a multiple of 8=4 * (an even number), and this equals a number that is at least a multiple of 8
Hence, the answer is (D).
Answer: D
Question: The ratio between the length and the breadth of a rectangular park is 1 : 2. If a man cycling along the boundary of the park at the speed of 6 km/hr completes one round in 6 min, then the area of the park (in sq. m) is?
Options:
A)600m
B)6000 m
C)20000 m
D)100 m
E)2000 m
Rationale: Perimeter = Distance covered in 6 min. = (6000 x 6)/60 m = 600 m.
Let length = 1x metres and breadth = 2x metres.
Then, 2(1x + 2x) = 600 or x = 100.
Length = 100 m and Breadth = 200 m.
Area = (100 x 200) m2 = 20000 m
C
Answer: C
Question: A standard-sized cigarette can be rolled out of 6 standard-sized cigarette butts. How many cigarettes can be made and smoked from 36 butts?
Options:
A)2
B)3
C)5
D)7
E)1
Rationale: D
No, 6 is not the answer! It is not correct, because after the 6 cigarettes have been smoked there will again be 6 butts which can be made into another cigarette.
The answer is 7
Answer: D
Question: The visitors of a modern art museum who watched a certain Picasso painting were asked to fill in a short questionnaire indicating whether they had enjoyed looking at the picture and whether they felt they had understood it. According to the results of the survey, all 100 visitors who did not enjoy the painting also did not feel they had understood the painting, and the number of visitors who enjoyed the painting was equal to the number of visitors who felt they had understood the painting. If 3/4 of the visitors who answered the questionnaire both enjoyed the painting and felt they had understood the painting, then how many visitors answered the questionnaire?
Options:
A)90
B)120
C)160
D)360
E)400
Rationale: If we exclude those cases and take the question at face value, then it seems straightforward.
Group #1 = (didn't like, didn't understand) = 100
Group #2 = (likeunderstood) = 3/4
(1/4)N = 100
N = 400
Answer =(E)
Answer: E
Question: A certain galaxy is known to comprise approximately 2x 10^11 stars. Of every 50 million of these stars, one is larger in mass than our sun. Approximately how many stars in this galaxy are larger than the sun?
Options:
A)800
B)1,250
C)8,000
D)4,000
E)80,000
Rationale: 2*10^11
50 mln = 5*10^7
we divide 10^11 by 10^7 and we get (10^4)*2 = 20,000 and divide by 5. the result is 4,000 (c)
D
Answer: D
Question: 3 singers will pick a song among a list of 3 songs. What is the probability that exactly one singer will pick a different song?
Options:
A)3!/3^3
B)1/3^3
C)3/3!
D)3/3^3
E)1/3!
Rationale: Each singer out of 3 has 3 options, hence total # of outcomes is 3^3;
Favorable outcomes will be 3!, which is # of ways to assign 3 different song to 3 singers.
P=favorable/total=3!/3^3
Answer: A.
Answer: A
Question: If in a certain code "RANGE" is coded as 12345 and "RANDOM" is coded as 123678. Then the code for the word
"ROD" would be
Options:
A)156
B)174
C)176
D)180
E)182
Rationale: R-1
O-7
D-6
so for mango the code is 176
ANSWER:C
Answer: C
Question: x and y are positive integers of J. If 1/x + 1/y < 2, which of the following must be true?
Options:
A) x + y > 4
B) xy>1
C) x/y + y/x < 1
D) (x - y)^2 > 0
E) None of the above
Rationale: Answer is B:
1/X + 1/Y < 2
The maximum value of 1/X is 1 because if X equals any other number greater than one it will be a fraction. The same is true with 1/Y.
So 1/X and 1/Y will always be less than 2 as long as both X and Y are not both equal to one at the same time.
Another way of putting it is:
X*Y>1.B
Answer: B
Question: Working alone at its constant rate, pump U pumped out ¼ of the water in a tank in 2 hours. Then pumps V and W started working and the three pumps, working simultaneously at their respective constant rates, pumped out the rest of the water in 3 hours. If pump V, working alone at its constant rate, would have taken 18 hours to pump out the rest of the water, how many hours would it have taken pump W, working alone at its constant rate, to pump out all of the water that was pumped out of the tank?
Options:
A)6
B)12
C)15
D)18
E)24
Rationale: Rate of pump U = 1/8
3 hours are required to pump out the remaining (3/4)ths of tank --> 1 hr to pump out 1/4
Rate of U + Rate of V + Rate of W = 1/4
Rate of V + Rate of W = 1/4 - 1/8 = 1/8
V takes 18 hours to pump out the remaining (3/4)ths of tank --> 6 hrs per (1/4)ths --> 24 hrs to pump out fully.
Rate of V = 1/24
1/24 + Rate of W = 1/8
Rate of W = 1/8 - 1/24 = 1/12
Time required to pump out all the water by W = 12 hrs
Answer: B
Answer: B
Question: A tourist does not have to pay tax on the first $600 of goods he purchases in Country B, but does have to pay a 7 percent tax on the portion of the total value that is in excess of $600. What tax must be paid by a tourist if he buys goods with a total value of $1720?
Options:
A)$54.00
B)$78.40
C)$90.00
D)$100.80
E)$154.80
Rationale: Correct Answer: B
The tourist must pay tax on $1720 - $600 = $1120. Thus, the amount of tax he has to pay is 0.07 ($1120) = $78.40. The correct answer is B.
Answer: B
Question: The average age of an adult class is 40years. 12new students with an avg age of 32years join the class. Therefore decreasing the average by 4year. Find what was theoriginal strength of class?
Options:
A)8
B)12
C)15
D)17
E)18
Rationale: Let original strength = y
Then , 40y + 12 x 32 = ( y + 12) x 36
⇒ 40y + 384 = 36y + 432
⇒ 4y = 48
∴ y = 12
B
Answer: B
Question: X is three times as fast as Y and working together, they can complete a work in 20 days. In how many days can Y alone complete the work?
Options:
A)11 days
B)80 days
C)13 days
D)15 days
E)19 days
Rationale: X = 3Y
X + Y = 3Y + Y = 4Y
These 4Y people together can do the work in 20 days, which means Y can alone do the work in 4*20 = 80 days.
Answer : B
Answer: B
Question: Find the area of circle whose radius is 9m?
Options:
A)138
B)154
C)254.6
D)280
E)371
Rationale: 22/7 * 9 * 9
= 254.6
Answer:C
Answer: C
Question: A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 50 paisa. If the share of Y is RS. 63, what is the total amount?
Options:
A)115
B)273
C)117
D)118
E)119
Rationale: x:y:z = 100:45:50
20:9:10
9 --- 63
39 --- ? => 273
ANSWER:B
Answer: B
Question: The salaries of A, B and C are of ratio 2:3:5. If the increments of 15%, 10% and 20% are done to their respective salaries, then find the new ratio of their salaries
Options:
A)20:33:60
B)21:33:60
C)22:33:60
D)23:33:60
E)None of these
Rationale: Explanation:
Let A salary be 2k
B salary be 3k and C salary be 5k
A's new salary = 115/100∗2k=23/10k
B's new salary = 110/100∗3k=33/10k
C's new salary = 120/100∗5k=6k
New ratio = 23k/10: 33k/10: 6k=23:33:60
Option D
Answer: D
Question: When an amount was distributed among 14 boys, each of them got rs 80 more than the amount received by each boy when the same amount is distributed equally among 18 boys. What was the amount?
Options:
A)5040
B)5020
C)5010
D)5030
E)5070
Rationale: Let the total amount be Rs. X the,
x/14 - x/18 = 80<=> 2x/126 = 80 <=> x/63 =63 x 80 = 5040.
Hence the total amount is 5040.
Answer is A.
Answer: A
Question: The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8500. If his salary for the month of May is Rs.6500, find his salary for the month of January?
Options:
A)3999
B)7867
C)4500
D)2789
E)3671
Rationale: Sum of the salaries of the person for the months of January, February, March and April = 4 * 8000 = 32000 ----(1)
Sum of the salaries of the person for the months of February, March, April and May = 4 * 8500 = 34000 ----(2)
(2)-(1) i.e. May - Jan = 2000
Salary of May is Rs.6500
Salary of January
= Rs.4500
Answer: C
Answer: C
Question: A freelancer charges a fixed fee of $20 for his services. Any additional alterations costs 15% of the fixed fee per hour. If Tim hires this freelancer, and hires him again to make alterations which took 20 more hours. How much does Tim have to pay the freelancer in total?
Options:
A)15
B)23
C)100
D)20
E)80
Rationale: Fixed fee is $20
Additional hours is 0.15*20=$3
Total fee is (20*$3)+$20= $80.
Answer is E
Answer: E
Question: Two trains 121 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 55 kmph. In what time will they be completely clear of each other from the moment they meet?
Options:
A)7.19
B)7.17
C)7.62
D)7.15
E)7.11
Rationale: T = (121 + 165)/ (80 + 55) * 18/5
T = 7.62
Answer:C
Answer: C
Question: How many of the integers between 25 and 95 are even ?
Options:
A)35
B)90
C)11
D)10
E)9
Rationale: Number start between 25 to 95 is 70 numbers
half of them is even..which is 35
ANSWER:A
Answer: A
Question: A cistern can be filled by a tap in 3 hours while it can be emptied by another tap in 6 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
Options:
A)5.2 hrs
B)2.9 hrs
C)1.9 hrs
D)6 hrs
E)5 hrs
Rationale: Net part filled in 1 hour = (1/3 - 1/6) = 1/6
The cistern will be filled in 6/1 hrs i.e., 6 hrs.
Answer:D
Answer: D
Question: In a certain corporation, there are 300 male employees and 150 female employees. It is known that 20% of the male employees have advanced degrees and 40% of the females have advanced degrees. If one of the 450 employees is chosen at random, what is the probability this employee has an advanced degree or is female?
Options:
A)7/15
B)3/10
C)3/5
D)2/5
E)3/4
Rationale: P(female) = 150/450 = 1/3
P(male with advanced degree) = 0.2*300/450 = 60/450 = 2/15
The sum of the probabilities is 7/15
The answer is A.
Answer: A