divelab/Sys2Bench huggingface dataset:
Question: A does a work in 15 days and B does the same work in 30 days. In how many days they together will do the same work ?
Options:
A)5 days
B)6 days
C)8 days
D)10 days
E)None of these
Rationale: Explanation:
Firstly we will find 1 day work of both A and B, then by adding we can get collective days for them,
So,
A's 1 day work = 1/15
B's 1 day work = 1/30
(A+B)'s 1 day work =
(1/15+1/30)=1/10
So together they can complete work in 10 days.
Answer: D
Answer: D
Question: What is theleast number should be added to 1056, so the sum of the number is completely divisible by 23?
Options:
A)20
B)23
C)25
D)27
E)28
Rationale: (1056 / 23) gives remainder 21
21 + 2 = 23, So we need to add 2
B
Answer: B
Question: We give the following information about a race hedge.
There are 10 hurdles. The distance between consecutive two lines (that is to say which follow) is 9.14 m. There are 13.72 m between the starting line and the first line and the last hurdle between 14.02 m and line arrival. Each hurdle measures 106 cm in height.
What is the length(in centimeters) of the track?
Options:
A)14060cm.
B)12060cm.
C)15060cm.
D)11060cm.
E)None
Rationale: Solution:
[13.72+(9.14*9)+14.02+[(106÷100)*10]] =>L=[13.72+82.26+14.02+10.6] =>L=120.6m = 12060cm.
Answer B
Answer: B
Question: The mass of the sun is approximately 2 × 10^30 kg and the mass of the moon is approximately 9 × 10^12 kg. The mass of the sun is approximately how many times the mass of the moon?
Options:
A)4.0 × 10^(−18)
B)2.5 × 10^17
C)4.0 × 10^18
D)2.5 × 10^19
E)3.33 × 10^17
Rationale: Mass of sun = x * Mass of moon
x = Mass of sun / Mass of moon = (3 × 10^30) / (9 × 10^12) = 3*3^-2*10^18 = 10^18/3 = 3.33*10^17
Ans. E) 3.33 × 10^17
Answer: E
Question: Diana took out a charge account at the General Store and agreed to pay 6% simple annual interest. If she charges $60 on her account in January, how much will she owe a year later, assuming she does not make any additional charges or payments?
Options:
A)$62.40
B)$62.80
C)$63.20
D)$63.60
E)$64.00
Rationale: 1.06*$60=$63.60
The answer is D.
Answer: D
Question: There are 7 girls and 3 chairs. In how many ways girls can occupy the chairs?
Options:
A)760
B)210
C)560
D)740
E)800
Rationale: total girls = 7
total chairs = 3
1st chair can be occupy in 7ways
2nd chair can be occupy in 6ways
3rd chair can be occupy in 5ways
total number of ways = 7*6*5 = 210 ways
correct option is B
Answer: B
Question: Find the simple interest on $500 for 3 years at 10% per annum?
Options:
A)$250
B)$300
C)$500
D)$150
E)$100
Rationale: SI = PTR/100
= 500*3*10/100 = $150
Answer is D
Answer: D
Question: A bag contains 64 balls of eight different colours. There are eight of each colour (including red). What is the least number you would have to pick, without looking, to be sure of selecting 3 red balls?
Options:
A)54
B)60
C)45
D)38
E)59
Rationale: E
59
The first 56 balls could be of all colours except red. This would leave 8 balls, all of which are red, so any three chosen would be red.
Answer: E
Question: In a group of 24 students, each student is registered for at least one of three classes – History, Math and English. 15 students are registered for History, 15 students are registered for Math, and 20 students are registered for English. If only three students are registered for all three classes, how many students are registered for exactly two classes?
Options:
A)13
B)10
C)9
D)20
E)7
Rationale: Each student is registered forat least one of three classesmeans thatthere are no students who are registered for none of the classes.
Total = {people in group A} + {people in group B} + {people in group C} - {people in exactly 2 groups} - 2*{people in exactly 3 groups} + {people in none of the groups}:
24 = 15 + 15 + 20 - {people in exactly 2 groups} - 2*3 + 0-->{people in exactly 2 groups}=20
Answer: D
Answer: D
Question: The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 46 kg, then the weight of B is:
Options:
A)17 kg
B)20 kg
C)26 kg
D)31 kg
E)37 kg
Rationale: let d sum of a, b, c is 3*45=135
and sum of a and b s 2*40=80
sum of b and c is 2 *46=92
hence 80+92-144=37
ans=37
ANSWER:E
Answer: E
Question: From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?
Options:
A)756
B)800
C)956
D)850
E)650
Rationale: We may have (3 men and 2 women) or (4 men and 1 woman) or (5 men only).
Required number of ways	= (7C3 x 6C2) + (7C4 x 6C1) + (7C5)
= (525 + 210 + 21)
= 756.
ANSWER A
Answer: A
Question: If you divide 7^115 by 5, which remainder do you get?
Options:
A)0
B)1
C)2
D)3
E)4
Rationale: The units digit of 7^1 is 7.
The units digit of 7^2 is 9.
The units digit of 7^3 is 3.
The units digit of 7^4 is 1.
The units digit of 7^5 is 7.
etc...
The units digit of 7^n repeats in blocks of 4: {7, 9, 3, 1}
The remainder of 115/4 is 3.
So the units digit of 7^115 is 3.
The remainder of 7^115 / 5 is 3.
The answer is D.
Answer: D
Question: There is a train and car. The ratio between the speed of a train & a car is 24:19 respectively. Also, a bus covered a distance of 320 km in 5 hours. The speed of the bus is 2/3rd of the speed of the train. How many kilometers will the car cover in 5 hours?
Options:
A)320
B)340
C)360
D)380
E)400
Rationale: The speed of the bus is 320/5 = 64 km/hr
The speed of the train is (64*3)/2 = 96 km/hr
The speed of the car is 96/24 * 19 = 76 km/hr
The distance covered by the car in 5 hours is 76 × 5 = 380 km
The answer is D.
Answer: D
Question: A reduction of 5% in the price of sugar enables a lady to obtain 5kgs more for Rs.500, find the original price per kg?
Options:
A)5.26
B)5.0
C)5.52
D)6.2
E)5.8
Rationale: Answer:	500*(5/100) = 25 --- 5
? --- 1 => Rs.5
500 --- 475
? --- 5 => Rs.5.26.Answer: A
Answer: A
Question: If 6 persons can do 6 times of a particular work in 6 days, then, 8 persons can do 8 times of that work in?
Options:
A)2 days
B)6 days
C)5 days
D)7 days
E)9 days
Rationale: That is, 1 person can do one time of the work in 3 days.
Therefore, 8 persons can do 8 times work in the same 6 days itself.
B)
Answer: B
Question: The roots of the equation ax2 + bx + c = 0 will be reciprocal if:
Options:
A)c = b
B)c = 0
C)c = a
D)c = U
E)c = K
Rationale: Let k be one of the root of the given equation.
According to the problem,
1/k will be the other root of the given equation.
We know that, product of the roots of the equation = c/a.
Therefore, k × 1/k = c/a.
or, 1 = c/a.
or, a = c [multiplying a on both sides].
The roots of the equation ax2 + bx + c = 0 will be reciprocal if a = c.
Therefore, a = c or c = a.
Answer: C
Answer: C
Question: A man is running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a
120 metres long train. The train is running at 45 kmph in the same direction. How much time does it take for the train to pass the man?
Options:
A)46 sec
B)36 sec
C)18 sec
D)22 sec
E)30 sec
Rationale: Distance covered = (240+120)=360
relative speed = (45-9) = 36 km/hr
36*5/18 = 10 m/s
req time = 360/10 = 36 sec
ANSWER B
Answer: B
Question: A farmer used 1,034 acres of land for beans, wheat, and corn in the ratio of 5 : 2 : 4, respectively. How many W acres were used for corn?
Options:
A) 188
B) 258
C) 376
D) 470
E) 517
Rationale: consider 5x acres of land used for bean
consider 2x acres of land used for wheat
consider 4x acres of land used for corn
Total given is 1034 acres
11x =1034
x = 94
land used for corn W= 4 * 94 = 376
correct option - C
Answer: C
Question: Edward invested five-ninths of his money at an annual rate of 2r% compounded semi-annually, and the remaining money at an annual rate of r% compounded annually. If after one year, Edward’s money had grown by one-thirds, the value of r is equal to which of the following?
Options:
A)10%
B)15%
C)20%
D)25%
E)33%
Rationale: X=Amount invested
5/9*X*(1+2r/2)^2+4/9*X*(1+r)=4/3X
Set X = 9 because we can pick any value
5*(1+r)^2+4(1+r)=12
5r^2+14r-3=0
Here you can use the formula for roots of a quadratic, but it is faster to guess and check using the answers
5*(1/5)^2+14(1/5)-3=5*(1/25)+14/5-3=1/5+14/5-3=0
ANSWER:C
Answer: C
Question: A sum of money is borrowed and paid back in two annual installments of Rs.882 each allowing 5% compound interest. The sum borrowed was :
Options:
A)Rs.1620
B)Rs. 1640
C)Rs.1680
D)Rs.1700
E)Rs.1800
Rationale: Principal = 882/(1+(5/100)) + 882/(1+(5/100)
= (882*20)/21+ (882*400)/441
=840 +800
= Rs.1640
ANSWER:B
Answer: B
Question: One ton has 2300 pounds, and one pound has 16 ounces. How many packets containing wheat weighing 16 pounds and 4 ounces each would totally fill a gunny bag of capacity 13 tons?
Options:
A) 1840
B) 1700
C) 2350
D) 2500
E) 8000
Rationale: 16 pounds and 4 ounces= 16*16 + 4 = 260 ounces.
13 tons = 13*2300 pound = 13*2300*16 ounces.
Hence the answer is (13*2300*16)/260 = 1840.
Answer: A.
Answer: A
Question: One day a car rental agency rented 3/4 of its cars, including 4/5 of its cars with CD players. If 3/5 of its cars have CD players, what percent of the cars that were not rented had CD players?
Options:
A)23/40
B)17/30
C)12/25
D)7/15
E)3/10
Rationale: The cars with CD players which were not rented is (1/5)(3/5) = 3/25 of all the cars.
The cars which were not rented is 1/4 of all the cars.
The percent of non-rented cars which had CD players is (3/25) / (1/4) = 12/25
The answer is C.
Answer: C
Question: The population of a town increased from 1,25,000 to 1,50,000 in a decade. The average percent increase of population per year is :
Options:
A)4.37%
B)2%
C)6%
D)8.75%
E)None of these
Rationale: Solution
Increase in 10 year= (150000 - 125000) = 25000.
Increase% =( 25000/125000x 100 )% = 20%
âˆ´ Required average = ( 20/10 )% = 2%
Answer B
Answer: B
Question: Arun spent six lucky days in Las Vegas. On his first day he won a net amount of only $20, but on each of the following days, the daily net amount he won grew by d dollars. If Arun won a total net amount of $1620 during his stay in Las Vegas, how much did he win on the last day?
Options:
A)330
B)500
C)520
D)540
E)620
Rationale: I drew a diagram:
1 - $20
2 -
3 -
4 - $320
5 -
6 -
Total: $1,620
Between 1 and 6 are 5 days where he won $1,600. This means he averaged $320 per day (1600/5). You can put $320 by 4 because it's the middle number. Now you just find the two points betwenn $20 and $320 (320-20 = 300 / 3 = 100). So each day, he earned $100 more. This means on day 6, Arun earned$520. Answer choice C.
Answer: C
Question: At the wholesale store you can buy an 8-pack of hot dogs for $1.55, a 20-pack for $3.05, and a 250-pack for $22.95. What is the greatest number of hot dogs you can buy at this store with $208?
Options:
A)1,108
B)2,100
C)2,108
D)2,160
E)2,256
Rationale: I think it should be D.
I can buy 8 250-pack for Rs 22.95*8 = $183.60
Now, I can buy 8 20-pack for 3.05*8 = $24.40
Now, I am left with only $1.15. I cannot but anything with this.
Hence Total Hotdogs = 250*8 + 20*5 = 2160
Answer: D
Question: In a covering a certain distance, the speeds of A and B are in the ratio of 3:4. A takes 30 minutes more than B to reach the destination. The time taken by A to reach the destination is?
Options:
A)8 hrs
B)9 hrs
C)2 hrs
D)2 hrs
E)9 hrs
Rationale: Ratio of speeds = 3:4
Ratio of times taken = 4:3
Suppose A takes 4x hrs and B takes 3x hrs to reach the destination.
Then, 4x - 3x = 30/60 => x = 1/2
Time taken by A = 4x hrs = 4 * 1/2 = 2 hrs.
Answer:C
Answer: C
Question: Today my car meter reads as 63736 kms. I notes that this is a palindrome. How many minimum kms i need to travel so my car meter find another palindrom.
Options:
A)100 kms
B)115 kms
C)110 kms
D)200 kms
E)120 kms
Rationale: D
200 kms
63736+200 = 63536 , a palindrome
Answer: D
Question: If Dave throws down a set dice twice, calculate the probability that one die would be an even while the other would be odd?
Options:
A)1/6
B)1/4
C)1/2
D)1
E)1/3
Rationale: The number of exhaustive outcomes for each throw is 36.
For both throws is= 64
Let E be the event of getting an even number on one die and an odd number on the other for each throw.
The event of getting either both even or both odd for each throw is = 18/36 = 1/2
The event of getting either both even or both odd for both throws is = 36/64 = 1/2
P(E) = 1 - 1/2
= 1/2.
Answer:c
Answer: C
Question: There are 7 people and 4chairs. In how many ways people can occupy the chairs?
Options:
A)760
B)840
C)560
D)740
E)800
Rationale: total people = 7
total chairs = 4
1st chair can be occupy in 7ways
2nd chair can be occupy in 6ways
3rd chair can be occupy in 5ways
4th chair can be occupy in 4ways
total number of ways = 7*6*5*4 = 840 ways
correct option is B
Answer: B
Question: There are 12 pieces of radioactive metal Q that look identical. 11 of the pieces give the same radiation count when measured, the 12th piece is a counterfeit and gives a different radiation level, which may be more or less than the other 11. We are given a radiation scale, which can take 2 sets of samples and compare their added up radiation levels to tell us if the sums are the same or if different, which set has the higher level of radiation. What is the minimum number of comparisons we need on this scale to identify the counterfeit sample and to also determine whether it has more or less radiation than the other samples ?
Options:
A)2
B)3
C)4
D)5
E)6
Rationale: First of all if you are down to just 3 pieces and you know that if the offending piece is less or more active, then it takes exactly 1 measurement to find out the offending piece. So you know you have to reduce the problem to three.
Now when you are down to either A or B after measurement 1, you need the next measurement to (a) reduce the problem set to 3 and (b) to know whether anser is more or less. Now you cannot compare a group of 4 to 4, as in the best case it will only reduce the problem to 4 elements which is not good enough.
If you have to choose a set of 3 to compare, you cannot pick any 3 on the same side from the same set (A or B) because if you do this, a quick check will show you that in every choice there is a case where you can only get down to 4 elements. Eg. If you weighed {1,2,3} v/s {5,9,10} and they were equal you're problem would only reduce to {4,6,7,8}
The easiest way to solve this then is to compare 3 to 3, and make sure each side has elements from both AB such that whatever the measurement outcome in the worst case the problem reduces to 3 elements only. Which is why the sets {1,5,9} and {2,6,7} OR {A,B,C}{A,B,B}. The extra element from C is just taken to make the problem symmetric so to say, we have 8 elements and we make it 9, to compose 3 sets of 3 each.=B
Answer: B
Question: John started a business, investing Rs.18000. After 3 months and 4 months respectively, Rose and Tom joined him with capitals of 12000 and 9000. At the end of the year the total profit was Rs.4290. What is the difference between Rose ’s and Tom ’s share in the profit?
Options:
A)s.340
B)s.362
C)s.370
D)s.382
E)s.390
Rationale: John : Rose : Tom
Ratio of their investments = 18000 × 12 : 12000 × 9 : 9000 × 8
= 6 : 3: 2
The difference between Rose’s and Tom’s share = 1 share
:.i.e. = Rs. 4290 × 1/11 = Rs.390.
E)
Answer: E
Question: A leak in the bottom of a tank can empty the full tank in 7 hours. An inlet pipe fills water at the rate of 6 litres a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 12 hours. How many litres does the cistern hold?
Options:
A)7580
B)7960
C)8290
D)6048
E)None
Rationale: Solution
Work done by the inlet in 1 hour	= (1/7 - 1/12)
= 5/84
Work done by the inlet in 1 min.	= (5/84 × 1/60)
= 0.000992
Volume of 0.000992 part = 6 litres.
Therefore, Volume of whole	= ((1/0.000992)×6)
‹=› 6048 litres.
Answer D
Answer: D
Question: I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
Options:
A)118
B)280
C)886
D)667
E)198
Rationale: x*(85/100) = (480 - x)119/100
x = 280
Answer: B
Answer: B
Question: The average age of three boys is 15 years and their ages are in proportion 3:5:7. What is the age in years of the youngest boy?
Options:
A)6
B)9
C)6
D)4
E)1
Rationale: 3x + 5x + 7x = 45
x =3
3x = 9
Answer:B
Answer: B
Question: 10, 18, x, 14
The median of the list of positive integers above is 12. Which of the following could be the average (arithmetic mean) of the list?
Options:
A)12
B)5.5
C)6.25
D)7
E)7.5
Rationale: GivenThe median of the list of positive integers above is 12
So arranging the numbers from lowest to highest, avg of 2 middle terms needs to be 12
so the sequence will be x 10 14 18
Lets say x = 6, which gives us mean = sum/4 = 12
A is correct
Answer: A
Question: If 20 liters of chemical X are added to 80 liters of a mixture that is 20% chemical X and 80% chemical Y, then what percentage of the resulting mixture is chemical X?
Options:
A)30%
B)33%
C)36%
D)39%
E)42%
Rationale: The amount of chemical X in the solution is 20 +0.2(80) = 36 liters.
36 liters / 100 liters = 36%
The answer is C.
Answer: C
Question: Albert and Bob are painting rooms at constant, but different rates. Albert takes 1 hour longer than Bob to paint n rooms. Working side by side, they can paint a total of 3n/2 rooms in 4/3 hours. How many hours would it take Albert to paint 3n rooms by himself?
Options:
A)6
B)9
C)11
D)D.13
E)15
Rationale: rate of bob to paint n rooms is n/T(bob)
rate of Albert to paint n rooms is n/T(albert).
albert paints the room 1 hour slower than bob, so T (albert) = T(bob) -1
Together they paint the 3n/5 rooms in 4/3 hours. Rate is equal to work over time
Therefore
n/x + n/x-1 = (3n/5)/(4/3) =
n/x + n/x-1 = 9n/20. Fastest way for me is to think how would make the denominator 20. 4*5 = 20 and it fits x and x-1 or you can solve the quadratic
4n/20 + 5n/20 = 9n/20. Therefore you know it takes Albert 5 hours to paint n room, since Albert's rate is n/5.
2*3 = 3n
6 = 3n.
Answer is A
Answer: A
Question: If y > 0, (7y)/20 + (3y)/10 is what percent of y?
Options:
A)40%
B)50%
C)65%
D)70%
E)80%
Rationale: can be reduced to 7y/20+6y/20 =13y/20=65%
Answer C
Answer: C
Question: If 65 percent of a class answered the first question on a certain test correctly, 50 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?
Options:
A)25%
B)30%
C)35%
D)40%
E)45%
Rationale: 65% answered the first question correctly and 20% answered neither correctly.
Then 15% missed the first question but answered the second question correctly.
Then the percent who answered both correctly is 50% - 15% = 35%.
The answer is C.
Answer: C
Question: A fill pipe can fill 1/2 of cistern in 30 minutes. In how many minutes, it can fill 1/2 of the cistern?
Options:
A)15 min
B)20 min
C)25 min
D)30 min
E)35 min
Rationale: Required time = 30*2*1/2 = 30 minutes
Answer is D
Answer: D
Question: Siddharth wants to borrow Rs.6000 at rate of interest 6% p.a. at S.I and lend the same amount at C.I at same rate of interest for two years. What would be his income in the above transaction?
Options:
A)Rs.21.60
B)Rs.21.29
C)Rs.22.29
D)Rs.21.26
E)Rs.21.12
Rationale: Amount of money Siddharth borrowed at S.I at 6% p.a. for two years = Rs.6,000
He lend the same amount for C.I at 6% p.a. for two years.
=> Siddharth's income = C.I - S.I
= p[1 + r/ 100]n - p - pnr/100
= p{ [1 + r/ 100]2 - 1 - nr/100
= 6,000{ [1 + 6/100]2 - 1 - 12/100}
= 6,000 {(1.06)2- 1 - 0.12} = 6,000(1.1236 - 1 - 0.12)
= 6,000 (0.0036) = 6 * 3.6 = Rs.21.60
Answer: A
Answer: A
Question: A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Options:
A)4/9
B)4/7
C)4/6
D)4/1
E)4/2
Rationale: Explanation:
Let number of balls = (6 + 8) = 14.
Number of white balls = 8.
P (drawing a white ball) = 8 /14 = 4/7.
Answer: B) 4/7
Answer: B
Question: A package contains 8 black and 6 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Options:
A)3/5
B)3/7
C)6/8
D)7/9
E)1/3
Rationale: Let number of balls = (8+6) = 14.
Number of white balls = 6.
P (drawing a white ball) =	6/14=3/7
B
Answer: B
Question: If a number is 20% more than the another, how much % is the smaller number less than the first ?
Options:
A)12(1/3)%
B)16(2/3)%
C)16(1/3)%
D)16(4/3)%
E)none of these
Rationale: Take a number 100,
Then the other number is 120
% the smaller number is less than the first = [(20/(120)) x 100]% = 16(2/3)%.
ANSWER:B
Answer: B
Question: If daily wages of a man is double to that of a woman, how many men should work for 25 days to earn Rs.14400? Given that wages for 40 women for 30 days are Rs.21600.
Options:
A)12
B)14
C)16
D)18
E)20
Rationale: Explanation :
Wages of 1 woman for 1 day = 21600/40×30
Wages of 1 man for 1 day = 21600×2/40×30
Wages of 1 man for 25 days = 21600×2×25/40×30
Number of men = 14400/(21600×2×25/40×30)=144/(216×50/40×30)=144/9=16
Answer : Option C
Answer: C
Question: For all integers a and b, a%b = (a + b)(a - b). If 6%x = 11, then which of the following could be a value of x?
Options:
A)-4
B)-3
C)2
D)5
E)6
Rationale: 6%x = (6+x)(6-x)
36-x^2 = 11
x^2 = 25
x=-5,5
Ans: D
Answer: D
Question: What percentage of numbers from 1 to 70 have squares that end in the digit 1?
Options:
A)1
B)14
C)17
D)20
E)None
Rationale: Solution
Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1. Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69.
Number of such numbers = 14.
Required percentage = [14 / 70 x 100]%
= 20%.
Answer D
Answer: D
Question: A certain list of 200 test scores has an average (arithmetic mean) of 84 and a standard deviation of d, where d is positive. Which of the following two test scores, when added to the list, must result in a list of 202 test scores with a standard deviation less than d ?
Options:
A) 84 and 84
B) 80 and 85
C) 80 and 90
D) 85 and 85
E) 85 and 90
Rationale: The standard deviation of a set shows how much variation there is from the mean, how widespread a given set is. So, a low standard deviation indicates that the data points tend to be very close to the mean, whereas high standard deviation indicates that the data are spread out over a large range of values.
So when we add numbers, which are far from the mean we are stretching the set making SD bigger and when we add numbers which are close to the mean we are shrinking the set making SD smaller.
According to the aboveadding two numbers which are closest to the mean will shrink the set most, thus decreasing SD by the greatest amount.
Closest to the mean are 84 and 84 (actually these numbers equal to the mean) thus adding them will definitely shrink the set, thus decreasing SD most.
Answer: A
Answer: A
Question: The average weight of 16 men in a committe is 50.25 kg and that of the remaining 8 men are45.15 kg. Find the average weights of all the men in the committe?
Options:
A)42
B)48.55
C)49.2
D)50.1
E)51.2
Rationale: Required average
= 50.25 x 16 + 45.15 x 8
16 + 8
= 804 + 361.20
24
=	1165.20
24
= 48.55
B
Answer: B
Question: The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of the two selling prices is:
Options:
A)51:52
B)52:53
C)51:53
D)52:55
E)52:56
Rationale: Let C.P. of the article be Rs. x.
Then, required ratio = 104% of x / 106% of x
= 104/106 = 52/53 = 52:53
ANSWER:B
Answer: B
Question: Suresh started a business, investing Rs.18000. After 3 months and 4 months respectively, Rohan and Sudhir joined him with capitals of 12000 and 9000. At the end of the year the total profit was Rs.3982. What is the difference between Rohan’s and Sudhir’s share in the profit?
Options:
A)Rs.362
B)Rs.383
C)Rs.398
D)Rs.399
E)Rs.400
Rationale: Suresh : Rohan : Sudhir
Ratio of their investments = 18000 × 12 : 12000 × 9 : 9000 × 8
= 6 : 3: 2
The difference between Rohan’s and Sudhir’s share = 1 share
:.i.e. = Rs. 3982 × 1/11 = Rs.362.
A)
Answer: A