divelab/Sys2Bench huggingface dataset:
Question: What will come in place of the x in the following Number series? 12, 38, 116, 350, 1052, 3158, 9476, 28430,x
Options:
A)2643
B)5464
C)3456
D)7554
E)85292
Rationale: 12
12 Ã— 3 + 2 = 38
38 Ã— 3 + 2 = 116
116 Ã— 3 + 2 = 350
350 Ã— 3 + 2 = 1052
1052 Ã— 3 + 2 = 3158
3158 Ã— 3 + 2 = 9476
9476 Ã— 3 + 2 = 28430
28430 Ã— 3 + 2 = 85292
E
Answer: E
Question: Ashok and Pyarelal invested money together in a business and share a capital of Ashok is 1/9 of that of Pyarelal.if the incur a loss of Rs 900 then loss of Pyarelal?
Options:
A)610
B)710
C)810
D)900
E)1000
Rationale: Let the capital of Pyarelal be x, then capital of Ashok=x/9
So ratio of investment of Pyarelal and Ashok = x : x/9 =9x : x
Hence out of the total loss of 900, loss of Pyarelal= 900*9x/10x=810
ANSWER:C
Answer: C
Question: How many multiples of 2 are there between 1 and 60, exclusive?
Options:
A)21
B)22
C)29
D)26
E)28
Rationale: 29
multiples of 2 between 1 and 60 exclusive.
from 2 * 1 upto 2*29, (1,2,3,4,...,29). Hence, 29 multiples !
correct option is C
Answer: C
Question: In baseball, the batting average is defined as the ratio of a player’s hits to at bats. If a player had anywhere from 6 to 8 at bats in a recent game and had anywhere from 3 to 4 hits in the same game, the player’s actual batting average for that game could fall anywhere between
Options:
A)0.25 and 0.30
B)0.25 and 0.75
C)0.37 and 0.75
D)0.33 and 0.50
E)0.50 and 0.66
Rationale: Average Range = Hits to Bats i.e 3/8 to 4/6 = 0.37 to 0.66
Answer: C
Answer: C
Question: A bag marked at $200 is sold for $120. The rate of discount is?
Options:
A)10%
B)25%
C)20%
D)50%
E)40%
Rationale: Rate of discount = 80/200 * 100 = 40%
Answer is E
Answer: E
Question: It costs $4 for the first 1/4 hour to use the laundry machine at the Laundromat. After the first ¼ hour it costs $10 per hour. If a certain customer uses the laundry machine for 2 hours, how much will it cost him?
Options:
A)$20.
B)$22.
C)$24.
D)$26.
E)$28.
Rationale: 2 hrs = 120 min
First 15 min ------> $4
Time left is 120 min...
Now, 60 min costs $ 10
1 min costs $ 10/60
120 min costs $ 10/60*120 => $ 20.00
So, Total cost will be $20 + $4 => $ 24
Hence answer will be C
Answer: C
Question: $406 is divided among A, B, and C so that A receives half as much as B, and B receives half as much as C. How much money is C's share?
Options:
A)$208
B)$216
C)$224
D)$232
E)$240
Rationale: Let the shares for A, B, and C be x, 2x, and 4x respectively.
7x = 406
x = 58
4x = 232
The answer is D.
Answer: D
Question: Working alone at its constant rate, machine K took 3 hours to produce 1/6 of the units produced last Friday. Then machine M started working and the two machines, working simultaneously at their respective constant rates, took 9 hours to produce the rest of the units produced last Friday. How many hours would it have taken machine M, working alone at its constant rate, to produce all of the units produced last Friday?
Options:
A)8
B)12
C)16
D)21
E)27
Rationale: Machine K works at a rate of 1/18 of the units per hour.
The rate of K + M together is 5/6 * 1/9 = 5/54 of the units per hour.
The rate of machine M is 5/54 - 3/54 = 1/27.
It would have taken machine M a total time of 27 hours.
The answer is E.
Answer: E
Question: Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit?
Options:
A)16.35
B)16.31
C)16.32
D)16.3
E)16.31
Rationale: C.P. of 50 kg wheat = (30 * 11.50 + 20 * 14.25) = Rs. 630.
S.P. of 50 kg wheat = 130% of Rs. 630 = 130/100 * 630 = Rs. 819.
S.P. per kg = 819/50 = Rs. 16.38 = 16.30.
Answer:D
Answer: D
Question: 3 pumps working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?
Options:
A)10
B)11
C)12
D)13
E)15
Rationale: Let the required no of working hours per day be x.
More pumps , Less working hours per day (Indirect Proportion)
Less days, More working hours per day (Indirect Proportion)
pumps 4:3 and Days 1:2::8:x
Therefore, 4x1x(x)=3x2x8
X=(3x2x8)/4
X = 12.
Answer is C.
Answer: C
Question: The length of the bridge, which a train 110 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Options:
A)230
B)240
C)245
D)250
E)265
Rationale: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (110 + x)/30 = 25/2 => 2(110 + x) = 750 => x = 265 m.
Answer: Option E
Answer: E
Question: The average (arithmetic mean) of the 5 positive integers k, m, r, s, and t is 18, and k < m < r < s < t. If t is 40, what is the greatest possible value of the median of the 5 integers?
Options:
A)16
B)23
C)19
D)20
E)22
Rationale: We need to find the median which is the third value when the numbers are in increasing order. Since k<m<r<s<t, the median would be r.
The average of the positive integers is 18 which means that in effect, all numbers are equal to 18. If the largest number is 40, it is 22 more than 18. We need r to be maximum so k and m should be as small as possible to get the average of 16. Since all the numbers are positive integers, k and m cannot be less than 1 and 2 respectively. 1 is 17 less than 18 and 2 is 16 less than 18 which means k and m combined are 33 less than the average. 40 is already 22 more than 18 and hence we only have 33 - 22 = 11 extra to distribute between r and s. Since s must be greater than r, r can be 18+5 = 23 and s can be 18+6 = 24.
So r is 23
Answer (B)
Answer: B
Question: A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.900, what is the reduced price for kg?
Options:
A)45
B)60
C)70
D)80
E)20
Rationale: A
900*(25/100) = 225 ---- 5
? ---- 1 => Rs.45
Answer: A
Question: Suppose we have six marbles: 3 blue marbles, 2 red marbles, and one yellow marble. Suppose we are going to put them into three cups: a black cup, a white cup, and a purple cup. We could put all six in any cup and leave two cups empty; or we could put marbles in two cups and leave one cup empty; or we could put some marbles in each of the three cups. How many combinations are possible?
Options:
A)160
B)220
C)180
D)200
E)240
Rationale: # ways to distribute Blue marbels(3) is :
1 in each cup= 1
2 in one cup and 1 in other=6
all 3 in one cup = 3
total 1+6+3=10 possibilities
# ways to distribute Red marbels(2) is :
1 in each cup = 3 ways
all in one cup = 3ways
total 6ways.
# ways to distribute yellow marbels(1) is :
3 ways
total number of ways = 10*6 *3 = 180
C
Answer: C
Question: Which of the following is not divisible by 6?
Options:
A)10032
B)21192
C)47816
D)91232
E)72031
Rationale: Divisibility rule of 6: Number must be divisible by both 2 and 3
Option A: 10032, Divisible by 2. Hence divisible by 6
Option B: 21192, Divisible by 2 & 3. Hence divisible by 6
Option C: 47816, Divisible by 2. Hence divisible by 6
Option D: 91232, Divisible by 2. Hence divisible by 6
Option E: 72031, Not divisible by 2 or 3. Hence 72031 is not divisible by 6
Answer: E
Question: A tour group of 25 people paid a total of $840 for entrance to a museum. If this price included a 5% sales tax, and all the tickets cost the same amount, what was the face value of each ticket price without the sales tax?
Choices
Options:
A)$22
B)$23.94
C)$32
D)$25.20
E)$30
Rationale: Soln:-
840/25=x+0.05x
840/25=1.05x
x=32
ANSWER:C
Answer: C
Question: The ratio of three numbers is 3:4:5 and the sum of their squares is 1250. The sum of the numbers is?
Options:
A)2
B)3
C)4
D)6
E)5
Rationale: Let the numbers be 3x,4x,5x
then, 9x^2+16x^2+25x^2 = 1250
50x^2 = 1250
x^2 = 25
x=5
Answer is E
Answer: E
Question: A box measuring 30 inches long by 48 inches wide by 12 inches deep is to be filled entirely with identical cubes. No space is to be left unfilled. What is the smallest number of cubes that can accomplish this objective?
Options:
A)78
B)80
C)85
D)88
E)90
Rationale: least number of cubes will be required when the cubes that could fit in are biggest.
6 is the biggest number that could divide all three, 30, 48 and 12.
Thus side of cube must be 6, and total number of cubes = 30/6 * 48/6*12/6 = 80
Ans B.
Answer: B
Question: The length of a bridge in meters, which a train 100-meters long and traveling at 45 km/hr can cross in 30 seconds is?
Options:
A)225
B)245
C)275
D)325
E)375
Rationale: 45 km/h = 45000 m/3600 s = 12.5 m/s
In 30 seconds, the train can go 30(12.5) = 375 meters
Let x be the length of the bridge.
x+100 = 375 meters
x = 275 meters
The answer is C.
Answer: C
Question: When N is divided by T, the quotient is S and the remainder is M. Which of the following expressions is equal to N?
Options:
A)ST
B)S + V
C)ST + M
D)T(S+V)
E)T(S – V)
Rationale: Using the rule dividend = Quotient * divisor + remainder =>ST + M C is correct
Answer: C
Question: Three members of a certain club are selected to speak at the next club meeting. If there are 36 different possible selections of the 3 club members, how many members does the club have?
Options:
A)5
B)6
C)7
D)8
E)11
Rationale: Total No. of Selection of r out of n objects are defined by nCr = n! / [(r!)(n-r)!]
i.e. If total member = n
then nC2 = n! / [(3!)(n-3)!] = 36
i.e. n*(n-1)*n-3!/ [(3!)n-3!] = 36
i.e. n*(n-1) = 108
(for Positive Values of n)
therefore, n*(n-1) = 108
i.e. n=11
Answer: Option E
Answer: E
Question: Mercury travels around the sun at a speed of approximately 30 miles per second. The approximate speed is how many miles per hour?
Options:
A)108,000
B)96,000
C)84,000
D)72,000
E)60,000
Rationale: 30 * 3600 = 108,000
The answer is A.
Answer: A
Question: A certain bag contains 100 balls â€” 50 white, 25 green, 10 yellow, 7 red, and 8 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?
Options:
A)0.9
B)0.85
C)0.6
D)0.8
E)0.5
Rationale: According to the stem the ball can be white, green or yellow, so the probability is (white + green + yellow)/(total) = (50 + 25 + 10)/100 =85/100 = 0.85.
Answer is B
Answer: B
Question: What is the are of an equilateral triangle of side 4 cm?
Options:
A)2√3
B)3√3
C)5√3
D)4√3
E)8√3
Rationale: Area of an equilateral triangle = √3/4 S2
If S = 4, Area of triangle = √3/4 * 4 * 4
= 4√3 cm2;
Answer:D
Answer: D
Question: Two trains are moving at 40 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Options:
A)41/2 sec
B)5/2 sec
C)61/2 sec
D)71/6 sec
E)49/6 sec
Rationale: 70 + 40 = 110 * 5/18 = 275/9mps
D = 150 + 100 = 250 m
T = 250 * 9/275 = 49/6 sec
Answer:E
Answer: E
Question: What is the least common multiple of 12,15,18,27
Options:
A)640
B)540
C)691
D)385
E)789
Rationale: factors of 12 =2*2*3
factors of 27= 3*3*3
factors of 15 =3*5
factors of 18 =2*3*3
thus the l.c.m is 2*3*2*3**1*5*3=540
the answer is B
Answer: B
Question: 2 trains starting at the same Ɵme from 2 stations 200 km apart and going in opposite direction cross
each other at a distance of 110 km from one of the stations. What is the ratio of their speeds ?
Options:
A)11:9
B)13:9
C)17:9
D)21:9
E)None of these
Rationale: Explanation:
We know total distance is 200 Km
If both trains crossed each other at a distance of 110 km then one train covered 110 km and other 90 km
[110+90=200km]
So raƟo of their speed = 110:90 = 11:9
Answer: A
Answer: A
Question: he two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
Options:
A)76 Kmph
B)68 Kmph
C)87 Kmph
D)56 Kmph
E)10 Kmph
Rationale: Length of the two trains = 600m + 400m
Speed of the first train = X
Speed of the second train= 48 Kmph
1000/X - 48 = 180
1000/x - 48 * 5/18 = 180
50 = 9X - 120
X = 68 Kmph
Answer:B
Answer: B
Question: how much percentage 80 is of 480?
Options:
A)16.5
B)14.33
C)12.5
D)15.8
E)16.66
Rationale: 80*100/480=16.66%
answer E
Answer: E
Question: Cream costs twice as much as skim milk. A certain brand of milk is 1/5 cream and 4/5 skim milk. What fraction of the cost of this brand is due to the cream?
Options:
A)1/3
B)2/3
C)1/4
D)3/4
E)2/5
Rationale: Let x be the cost of the skim milk in the mixture.
The cost of the cream is (1/4)*x*2 = x/2.
The total cost is x+x/2 = 3x/2 and the fraction due to the cream is (x/2) / (3x/2) = 1/3
The answer is A.
Answer: A
Question: City A to city B, Andrew drove for 1 hour at 50 mph and for 3 hours at 60 mph. What was the average speed for the whole trip?
Options:
A)56
B)57.5
C)58.9
D)61.3
E)67.23
Rationale: The total distance is 1×50+3×60=2301×50+3×60=230. And the total time is 4 hours. Hence,
Average Speed=(Total DistanceTotal Time)=2304=57.5
B
Answer: B
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Options:
A)10 kmph
B)15 kmph
C)20 kmph
D)22 kmph
E)25 kmph
Rationale: M = 15
S = 5
DS = 15 + 5 = 20
Answer:C
Answer: C
Question: The distance between a school and the closest grocery store is approximately 9.2 x 10^4 inches. Which of the following is closest to the distance between the school and the store, in kilometers? (1 kilometer is approximately 3.9 x 10^4 inches.)
Options:
A)2.9
B)3.2
C)2.7
D)2.4
E)1.9
Rationale: We know that 1 kilometer = 3.9x10^4 inches. Therefore, we now have a ratio of (1 kilometer/3.9x10^4 inches).
We also know that the distance between the school and the store is approximately 9.2x10^4 inches. To convert inches to kilometers, we need to multiply 9.2x10^4 inches by the ratio we just found out.
kilometers = 9.2x10^4 inches x (1 kilometer/3.9x10^4 inches) [note: "inches" cancel out, leaving us with just km]
km = 9.2x10^4/3.9x10^4 km
km = 2.36 = 2.4 km
Therefore, we can see that the closest answer is D.
Answer: D
Question: In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Options:
A)50
B)40
C)70
D)80
E)30
Rationale: C
70%
Let C.P. = $100. Then, profit = $320, S.P. = $420
New C.P. = 125% of $100 = $125.
New S.P. = $420
Profit = 420 - 125 = $295
Required percentage = 295/420 * 100 = 1475/21 = 70%
Answer: C
Question: If 4-X < 2-5X, which of the following is correct?
Options:
A)X < -1/2.
B)X > -5.
C)X > 5.
D)-5 < X < 0.
E)0 < X < 5.
Rationale: 4-X < 2-5X
2 < -4X
-10/2>X
-5>X
A is the answer
Answer: A
Question: For any number Z, Z* is defined as the greatest positive even integer less than or equal to y. What is the value of 6.30 – 6.30*?
Options:
A)1.5
B)0.5
C)6.25
D)0.25
E)0.3
Rationale: Since Z* is defined as the greatest positive even integer less than or equal to Z, then 6.30* =6 (the greatest positive even integer less than or equal to 6.30 is 6).
Hence, 6.30 – 6.30* = 6.30 - 6 = 0.30
Answer: E.
Answer: E
Question: The present population of a town is 3744. Population increase rate is 20% p.a. Find the population of town before 2 years?
Options:
A)2500
B)2600
C)3500
D)3600
E)2050
Rationale: P = 3744
R = 20%
Required population of town = P/(1 + R/100)^T
= 3744/(1 + 20/100)^2
= 3744/(6/5)^2
= 2600(approximately)
Answer is B
Answer: B
Question: An association of mathematics teachers has 1,600 members. Only 525 of these members cast votes in the election for president of the association. What percent of the total membership voted for the winning candidate if the winning candidate received 60 percent of the votes cast?
Options:
A)75%
B)58%
C)42%
D)14.5%
E)19.6%
Rationale: Total umber of members = 1600
Number of members that cast votes = 525
Since , winning candidate received 60 percent of the votes cast
Number of votes for winning candidate = (60/100)*525 = 315
Percent of total membership that voted for winning candidate = (315/1600)*100 = 19.6%
Answer E
Answer: E
Question: A ratio between two numbers is 5:4 and their L.C.M. is 80. The first number is
Options:
A)60
B)45
C)20
D)15
E)None
Rationale: Sol.
Let the required numbers be 5x and 4x. Then, their L.C.M. is 20x.
∴ 20x = 80⇔ x = 4. Hence, the first number is 20.
Answer C
Answer: C
Question: A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Options:
A)1
B)6
C)7
D)9
E)3
Rationale: Speed of train relative to man = 60 + 6 = 66 km/hr.
= 66 * 5/18 = 55/3 m/sec.
Time taken to pass the men = 110 * 3/55 = 6 sec.
Answer: B
Answer: B
Question: Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed ?
Options:
A)689
B)569
C)123
D)512
E)456
Rationale: Explanation:
Let total number of children be x
Then, x x1/8X=x/2*16,x=64
Number of notebooks =1/8x^2=(1/8*64*64)=512
Answer:D
Answer: D
Question: The sum of the mean, the median, and the range of the set {5, 7, 9} equals which one of the following values?
Options:
A)27
B)45
C)62
D)22
E)10
Rationale: set {5, 7, 9}
Mean = (5+7+9)/3 = 7
Meadian = Middle term = 7
Range = Highest - Lowest = 9-1 = 8
Mean+Median+Range = 7+7+8 = 22
Answer: Option D
Answer: D
Question: On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004?
Options:
A)Tuesday
B)Wednesday
C)Friday
D)Monday
E)Sunday
Rationale: The year 2004 is a leap year. It has 2 odd days.
The day on 8th Feb, 2004 is 2 days before the day on 8th Feb, 2005.
Hence, this day is Sunday.
Answer: E
Answer: E
Question: What is the length of a bridge (in meters), which a train 166 meters long and travelling at 45 km/h can cross in 40 seconds?
Options:
A)310
B)318
C)326
D)334
E)342
Rationale: speed = 45 km/h = 45000 m / 3600 s = 25/2 m/s
In 40 seconds, the train can travel 25/2 * 40 = 500 meters
500 = length of train + length of bridge
length of bridge = 500 - 166 = 334 meters
The answer is D.
Answer: D
Question: I have Rs.450 in my pocket. I would like to give my mother, my brother and my friend the same amount, how much should I give to each of them?
Options:
A)120
B)70
C)90
D)150
E)60
Rationale: 450/3 = 150
The answer is D.
Answer: D
Question: The average of 10 numbers is calculated as 46. It is discovered later on that while calculating the average, the number 65 was incorrectly read as 25, and this incorrect number was used in the calculation. What is the correct average?
Options:
A)48
B)50
C)54
D)66
E)86
Rationale: The total sum of the numbers should be increased by 40.
Then the average will increase by 40/10 = 4.
The correct average is 50.
The answer is B.
Answer: B
Question: Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Options:
A)17 1/4 min
B)28 1/7 min
C)17 1/7 min
D)17 1/8 min
E)17 5/7 min
Rationale: 1/20 + 1/30 - 1/40 = 7/120
120/7 = 17 1/7
Answer:C
Answer: C
Question: The sum of two numbers is 528 and their H.C.F is 33. The number of pairs of numbers satisfying the above condition is
Options:
A)4
B)5
C)6
D)7
E)8
Rationale: Let the required numbers be 33a and 33b.
Then 33a +33b= 528 \inline \fn_jvn \Rightarrow a+b = 16.
Now, co-primes with sum 16 are (1,15) , (3,13) , (5,11) and (7,9).
\inline \fn_jvn \therefore Required numbers are ( 33 x 1, 33 x 15), (33 x 3, 33 x 13), (33 x 5, 33 x 11), (33 x 7, 33 x 9)
The number of such pairs is 4
Answer: A
Answer: A
Question: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460?
Options:
A)750
B)277
C)262
D)231
E)123
Rationale: 1/2:1/3:1/4 = 6:4:3
Ram = 6/13 * 3250 = 1500
Shyam = 4/13 * 3250 = 1000
Mohan = 3/13 * 3250 = 750
Answer: A
Answer: A
Question: If a can complete a work in x days and b can complete a work in y days. In how many days that they will work together simultaneously?
Options:
A)xy/(x+y)
B)(x+y)/xy
C)1/xy
D)xy
E)x+y
Rationale: A's one day work=1/x
B's one day work=1/y
a+b=1/x+1/y=(x+y)/xy(for one day)
Total days=xy/(x+y)
Answer is option A
Answer: A
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Options:
A)50 km/hr
B)15 km/hr
C)6 km/hr
D)8 km/hr
E)12 km/hr
Rationale: Explanation:
Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr = 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5 = 45 ==>
x = 50 km/hr.
Answer: A) 50 km/hr.
Answer: A
Question: The speed of a boat in still water is 40kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Options:
A)kmph
B)kmph
C)kmph
D)kmph
E)kmph
Rationale: Speed downstream = 40 + 20 = 60 kmph
Speed upstream = 40 - 20 = 20 kmph
Answer:B
Answer: B
Question: The first flight out of Phoenix airport had a late departure. If the next three flights departed on-time, how many subsequent flights need to depart from Phoenix on-time, for the airport's on-time departure rate to be higher than 80%?
I will see what is the quickest way to solve it then I will provide the explanation
Options:
A)6
B)7
C)9
D)10
E)11
Rationale: The following approach might be the easiest one and less error prone.
We need on-time departure rate to be higher than 8/10, so it should be at least 9/11, which means that 9 out of 11 flights must depart on time. Since for now 3 out of 4 flights departed on time then 9-3=6 subsequent flights need to depart on-time.
Answer: A
Answer: A
Question: The average monthly income of A and B is Rs. 5050. The average monthly income of B and C is Rs. 6250 and the average monthly income of A and C is Rs. 5200. What is the monthly income of A?
Options:
A)2000
B)4000
C)5000
D)1000
E)5500
Rationale: Let monthly income A = a
monthly income of B = b
monthly income C= c
a+b=2*5050 --- 1
b+c=2*6250----2
a+c=2*5200----3
add 3 eqns
a=4000
monthly income of A = 4000
ANSWER B
Answer: B
Question: Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 4 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill?
Options:
A)1/8
B)1/3
C)1/9
D)1/2
E)1/4
Rationale: 1/10 + 1/15 = 1/6 * 4 = 2/3
1 - 2/3 = 1/3
1/10 + 1/15 - 1/x = 1/3
x = 8
Answer:B
Answer: B
Question: Tina’s cat weighs 2.6 kilograms. Her dog weighs 4 times as much as her cat. How much does her dog weigh in kilograms?
Options:
A)10.4kg
B)38kg
C)22kg
D)48kg
E)20kg
Rationale: 2.6*4=10.4kg.Answer is A.
Answer: A
Question: Which of the following numbers is the biggest => [-4/7 , -7/8 , -9/10 , -12/13 , -34/35]
Options:
A)A)-4/7
B)B)-7/8
C)C)-9/10
D)D)-12/13
E)E)-34/35
Rationale: If we observe all the fractions just differ by one i.e denominator vs numerate.. in such case the biggest will be with large values... here all values are with -ve value...the least value is biggest. i.e. -4/7..
Hence A is correct answer...
Answer: A
Question: 3 pumps, working 8 hours a day, can empty a tank in 2 days . how many hours a day must 4 pumps work to empty the tank in 1 day?
Options:
A)9
B)10
C)11
D)12
E)13
Rationale: the required number of working hours per day x, more pumps , less working hours per day(indirect)
less days , more working hours per day (indirect)
pumps 4:3, days 1:2 } :: 8:x
therefore 4*1*x= 3*2*8, x= (3*2*8)/4
x=12
correct answer(D)
Answer: D
Question: If the average (arithmetic mean) of x, x + 2, and x + 4 is 103, what is the value of x?
Options:
A)95
B)97
C)101
D)85
E)87
Rationale: AM of x, x + 2, and x + 4 = x + (x + 2) + (x + 4) / 3 = 3x + 6 /3 = x + 2
Given that x + 2 = 103
x = 101
Answer : C
Answer: C
Question: If there is an equal probability of a child being born a boy or a girl, what is the probability that a couple who have 6 children have two children of the same sex and one of the opposite sex?
Options:
A)1/3
B)2/3
C)1/4
D)3/16
E)3/5
Rationale: No of ways of selecting a gender - 2C1
No of ways of selecting any 2 children out of 6 = 6C2
Total possible outcomes - 2^6 (each child can be either a girl or a boy)
Probability=2C1*6C2/2^6= 2*6/2*2*2*2*2*2=12/64=3/16
Ans=D
Answer: D