divelab/Sys2Bench huggingface dataset:
Question: The flowerman sale, all of the prices of the flowers sold were different. If the price of a radio sold at the flowerman sale was both the 17th highest price and the 42th lowest price among the prices of the slowers sold, how many flowers were sold at the flowerman sale?
Options:
A)38
B)34
C)58
D)63
E)73
Rationale: 16+41+1= 58
Answer: C
Answer: C
Question: The length of a rectangle is increased by 25% and its breadth is decreased by 15%. What is the effect on its area?
Options:
A)1288
B)1299
C)10625
D)10000
E)2887
Rationale: 100 * 100 = 10000
125 * 85 = 10625
Answer: C
Answer: C
Question: A person crosses a 1080 m long street in 12 minutes. What is his speed in km per hour?
Options:
A)4.1
B)4.5
C)4.8
D)5.4
E)5.5
Rationale: Speed = 1080/(12x60) m/sec
= 1.5 m/sec.
Converting m/sec to km/hr =1.5 x(18/5) km/hr
= 5.4 km/hr.
ANSWER :D
Answer: D
Question: A certain school implemented a reading program for its students, with the goal of getting each student to read 3 books per month year-round. If the school has c classes made up of s students in each class, how many books will the entire student body read in one year?
Options:
A)20cs
B)cs/2
C)36cs
D)(2cs)/12
E)(24c)/s
Rationale: Ans: C
Solution: simple multiplication s students , c classes , 3 books/ month= 36 books a year
total number of books = 36cs
Answer: C
Question: the number of zeros at the end of product of prime numbers between 1 and 999999
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: 1 zero at the end because multiplication of 2 and 5 leads to an answer which is a multiple of 10
ANSWER:A
Answer: A
Question: 7 girls earn equal to as many boys as are equal to 9 men. All of them earn Rs.105 only. Girl's earnings are?
Options:
A)6
B)5
C)2
D)7
E)2
Rationale: 7g=xb=9m
7g+xb+9m ----- 105Rs.
7g+7g+7g ----- 105 Rs.
21g ------ 105 Rs. => 1Mg= 5Rs.
Answer: B
Answer: B
Question: How many even multiples of 65 are there between 649 and 1301?
Options:
A)5
B)6
C)9
D)10
E)11
Rationale: 650 = 10*65
1300 = 20*65
The even multiples are 65 multiplied by 10, 12, 14, 16, 18, and 20 for a total of 6.
The answer is B.
Answer: B
Question: At a meeting of the local computer user group, each member brought two nonmembers. If a total of 27 people attended, how many were members and how many were nonmembers?
Options:
A)10
B)13
C)24
D)22
E)18
Rationale: Let x= number of members and 2x= number of non-members
x+ (2x)= 27
3x=27
3x/3=27/3
x=9
The number of non-members is 2x = 2(9)=18 people, the answer is E)
Answer: E
Question: How many minutes does it take James to type 8 words if he types at the rate of 4 words per minute?
Options:
A)4
B)1
C)2
D)6
E)3
Rationale: time*rate=job --> time*4=8 --> time=8/4=2.
Answer: C.
Answer: C
Question: The sum of money at compound interest amounts to thrice itself in 3 years. In how many years will it be 9 times itself?
Options:
A)5
B)4
C)3
D)6
E)7
Rationale: 100 ---- 300 --- 3
900 --- 3
----
6 years
Answer: D
Answer: D
Question: In how many ways can you seat 7 people on a bench if one of them does not want to sit at either end?
Options:
A)3500
B)3600
C)3700
D)3800
E)3900
Rationale: One person can choose 5 possible chairs to sit. The remaining 6 people can sit in 6! ways.
The number of arrangements is 5*6! = 3600.
The answer is B.
Answer: B
Question: Nine persons went to a hotel for taking their meals. Eight of them spent 11 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)108
B)117
C)119
D)122
E)None of the above
Rationale: Let the average expenditure of all the nine be x.
Then, 11 × 8 + (x + 8) = 9x or 8x = 96 or x = 12.
∴ Total money spent = 9x = (9 × 12) = 108.
Answer A
Answer: A
Question: Two trains of length 120 meter and 150 meter crosses a stationary man in 10 and 15 seconds respectively. In what time they will cross each other when they are moving in same direction.
Options:
A)120 sec
B)125 sec
C)135 sec
D)140 sec
E)None of these
Rationale: Explanation :
120 = a*10, a = 12 m/sec (speed of first train)
150 = b*15, b = 10 m/sec (speed of second train)
270 = (2)*T, T = 135 seconds
Answer – C
Answer: C
Question: In an election between two candidates first candidate got 60% of votes polled and second Candidate got 280 votes. The total number of votes polled was?
Options:
A)700 votes
B)900 votes
C)1000 votes
D)1100 votes
E)1300 votes
Rationale: Total = 100 %,
First person got 60%
second person got remaining 40 % of votes.
than 40 % = 280
40% = 40×7 = 280
100% =100×7 =700 votes
A)
Answer: A
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
Options:
A)30/18 hours
B)37/13 hours
C)80/13 hours
D)30/13 hours
E)30/43 hours
Rationale: Speed downstream = 20 + 6 = 26 kmph.
Time required to cover 60 km downstream
= d/s = 60/26
= 30/13 hours.
Answer: D
Answer: D
Question: A pharmaceutical company received $5 million in royalties on the first $20 million in sales of the generic equivalent of one of its products and then $9 million in royalties on the next $108 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?
Options:
A)8%
B)15%
C)45%
D)52%
E)67%
Rationale: Solution:
This is a percent decrease problem. We will use the formula: percent change = (new – old)/old x 100 to calculate the final answer.
We first set up the ratios of royalties to sales. The first ratio will be for the first 20 million in sales, and the second ratio will be for the next 108 million in sales. Because all of the sales are in millions, we do not have to express all the trailing zeros in our ratios.
First 20 Million
royalties/sales = 5/20 = 1/4
Next 108 Million
royalties/sales = 9/108 = 1/12
Because each ratio is not an easy number to use, we can simplify each one by multiplying each by the LCM of the two denominators, which is 60. Keep in mind that we are able to do this only because our answer choices are expressed in percents.
First 20 Million
royalties/sales = (5/20) x 12 = 3
Next 108 Million
royalties/sales = 9/108 = (1/12) x 12 =1
We can plug 15 and 5 into our percent change formula:
(new – old)/old x 100
[(1 – 3)/3] x 100
-200/3 x 100
At this point we can stop and consider the answer choices. Since we know that 200/3 is just a bit less than ½, we know that -200/3 x 100 is about a 67% decrease.
Answer E.
Answer: E
Question: Find the odd man out. 6, 13, 18, 25, 30, 37, 40
Options:
A)40
B)30
C)37
D)25
E)13
Rationale: Explanation :
The difference between two successive terms from the beginning are 7, 5, 7, 5, 7, 5
Hence, in place of 40, right number is 37+5=42
Answer : Option A
Answer: A
Question: A gardener grows cabbages in her garden that is in the shape of a square. Each cabbage takes 1 square feet of area in her garden. This year, she has increased her output by 191 cabbages as compared to last year. The shape of the area used for growing the cabbages has remained a square in both these years. How many cabbages did she produce this year?
Options:
A)7,251
B)8406
C)9216
D)10,348
E)can not be determined
Rationale: Let the side for growing cabbages this year be X ft. Thus the area is X^2.
Let the side for growing cabbages last year be Y ft. Thus, the area was Y^2.
The area would have increased by 191 sq ft as each cabbage takes 1 sq ft space.
X^2 - Y^2 = 191
(X + Y)(X - Y) = 191
191 is a prime number and thus it will be (96+95)*(96-95).
Thus X = 96 and Y = 95
X^2 = 96^2 = 9216
The answer is C.
Answer: C
Question: If x = 3z, where z is a prime number greater than 2, how many different positive even divisors does x have, including x?
Options:
A)0
B)1
C)2
D)3
E)It cannot be determined from the information given
Rationale: z is prime greater than 2 thus z is odd
3z is odd
Thus no even factors
Ans:A
Answer: A
Question: If the ratio of the roots of the equation x2 – 2ax + b = 0 is equal to that of the roots x2 – 2cx + d = 0, then:
Options:
A)a2b = c2d
B)a2c = b2d
C)a2d = c2b
D)d2 b = c2 a
E)none
Rationale: x^2-2ax+b=0 for this eqn..roots r....R1=2a/1,R2=b/1;
x^2-2cx+d=0 for this eqn ..roots r...R3=2c/1,R4=d;
As per question ,2a/b=2c/d
=>2ad=2bc
ANSWER:C
Answer: C
Question: Which of the following CAN be the least common multiple of two positive integers 5 and 25?
Options:
A)5
B)10
C)15
D)25
E)20
Rationale: LCM of 5, 25 is 25
Answer : D
Answer: D
Question: A school has received 30% of the amount it needs for a new building by receiving a donation of $500 each from people already solicited. People already solicited represent 60% of the people from whom the school will solicit donations. How much average contribution is requited from the remaining targeted people to complete the fund raising exercise?
Options:
A)$200
B)$250
C)$100
D)$350
E)$875
Rationale: Let us suppose there are 100 people. 60% of them donated $30000 ( 500 * 60 )
$30000 is 30% of total amount.
So total amount = 30000 * 100/60
Remaining amount is 70% of total amount.
70% of total amount = 30000 * (100/60) * (70/100) = 35000
This amount has to be divided by 40 ( remaining people are 40 )
So per head amount is 35000/40 = $875;
ANSWER:E
Answer: E
Question: Aqua regia is a mixture containing 50 per cent concentrated HCL and 70 per cent concentrated HNo3 in the ratio 1 : 3 respectively. Aqua regia is to be formed with 15 l of HCl of 80 percent concentration and 56 l of HNO3 of 90 per cent concentration by adding water as a diluting agent. Another mixture ’X’ having 40 percent concentrated HCL and 30 percent concentrated H2SO4 in the ratio 5 : 7 respectively is added to the Aqua regia to form a solution of 111 l. Find the ratio of HCL to water in the solution. Only water is used as a diluting agent
Options:
A)3 : 8
B)4 : 7
C)1 : 3
D)2 : 5
E)5 : 2
Rationale: 80 % concentrated HCL is to be diluted to form a 50% concentrated HCL solution.
The quantity of water to be added to the l5 l solution is i.e 5:3
Thus, (3/5) X 15 = 9
9 litres of water is added to HCL solution Similarly 16 l of water is added to 90%
concentrated solution of HNO3 to dilute it to 70% concentration.
The total quantity of HCL and HNO3 solutions are 24 l and 72 l respectively and that of the
aqua regia formed is 96 I and that of water in it is 33.6 l
The quantity of mixture ’X’ is 11 I - 96 = 15.
In the mixture X, the quantity of HCL is [(5/12) X 0.6 + (7/12) X 0.7] X 15=(0.25 + 0.41) X 15 = 9.91.
The required ratio is (12 + 2.5)/(33.6 + 9.9) = 14.5/43.5 = 1/3
ANSWER:C
Answer: C
Question: JOHN and ANDREW can finish John work 30 days if they work together. They worked together for 20 days and then ANDREW left. JOHN finished the remaining work in another 20 days. In how many days JOHN alone can finish the work?
Options:
A)30 days
B)60 days
C)70 days
D)80 days
E)90 days
Rationale: Amount of work done by JOHN and ANDREW in 1 day = 1/30
Amount of work done by JOHN and ANDREW in 20 days = 20 × (1/30) = 20/30 = 2/3
Remaining work – 1 – 2/3 = 1/3
JOHN completes 1/3 work in 20 days
Amount of work JOHN can do in 1 day = (1/3)/20 = 1/60
=> JOHN can complete the work in 60 days
B
Answer: B
Question: What is the remainder when 1271 * 1275 * 1279 *1285 is divided by 12?
Options:
A) 0
B) 1
C) 11
D) 3
E) 7
Rationale: 1271*1275*1277*1285 = (1272 - 1)(1272 + 3)(1284 - 5)(1284 + 1) = (multiple of 12 - 1)(multiple of 12 + 3)(multiple of 12 - 7)(multiple of 12 + 1)
Now, if we expand this expression all terms but the last one will have a multiple of 12 in them, thus will leave no remainder upon division by 12, the last term will be (-1)(3)(-5)(1) = 15. Thus the question becomes: what is the remainder upon division of 15 by 12? The answer to this question is 3
Answer: D.
Answer: D
Question: Under whose chairmanship did RBI constitute a Working Group for making balance of payments manual?
Options:
A)Anand Sinha
B)Harun Rashid Khan
C)Kamalesh Chandra Chakrabarty
D)Deepak Mohanty
E)Kamalesh Chandra Chakrabarty2
Rationale: Explanation:
Deepak Mohanty is the highest ranked economist in Reserve Bank of India.
ANSWER: D
Answer: D
Question: Jim and Cara begin running at the same time and they start at the same place on a straight path. Jim runs at 6 miles per hour, and Cara runs at 5 miles per hour. After 30 minutes, Jim stops to stretch. If it takes Jim 18 minutes to stretch and Cara continues to run during this time, how many minutes will it take Jim to catch up to Cara?
Options:
A)40
B)50
C)60
D)70
E)80
Rationale: In 30 minutes, Jim runs 3 miles.
In 48 minutes, Cara runs 4 miles.
Jim can catch Cara at a rate of 1 mile per hour.
Since Cara is ahead by 1 mile, it will take Jim 1 hour = 60 minutes to catch Cara.
the answer is C.
Answer: C
Question: John bought a 1-year, $20,000 certificate of deposit that paid interest at an annual rate of 10 percent compounded semiannually. What was the total amount of interest paid on this certificate at maturity?
Options:
A)$2150
B)$2050
C)$2250
D)$2350
E)$2400
Rationale: 10 percent compounded semiannually --> 5% in 6 moths.
For the first 6 moths interest was 5% of $20,000, so $1000;
For the next 6 moths interest was 5% of $21,000, so $1050
Total interest for 1 year was $1000+$1050=$2050
Answer : B
Answer: B
Question: If a survey shows that 30 citizens out of a sample of 300 support a particular Senate bill, what percent of the sample does not support the bill?
Options:
A) 90%
B) 64%
C) 72%
D) 82%
E) 86%
Rationale: 30 out of 300 supports the bill and we are asked to find the percent who the does not support the bill.
30 out of 300 supports the bill = 10 out of 100 supports the bill ( taking in % terms )
14 out of 100 supports the bill = 10 (100-10) doesn't support the bill
So, answer is (A) 90%
Answer: A
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/5 rooms in 4/5 hours. How many hours would it take Albert to paint 3n rooms by himself?
Options:
A)7
B)9
C)11
D)25
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.
5*5 = 3n
25 = 3n.
Answer is D
Answer: D
Question: The majority owner of a business received 25% of the profit, with each of 4 partners receiving 25% of the remaining profit. If the majority owner and two of the owners combined to receive $39,375, how much profit did the business make?
Options:
A)$54,000
B)$57,000
C)$60,000
D)$63,000
E)$66,000
Rationale: Let P be the total profit.
P/4 + 1/2*(3P/4) = P/4 + 3P/8 = 5P/8 = $39,375
P = $63,000
The answer is D.
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. What is the total distance traveled by the man?
Options:
A)5.99 km
B)5.88 km
C)5.76 km
D)5.83 km
E)9.44 km
Rationale: M = 6
S = 1.2
DS = 7.2
US = 4.8
x/7.2 + x/4.8 = 1
x = 2.88
D = 2.88 * 2 = 5.76
Answer:C
Answer: C
Question: Last year the price per share of Stock Y increased by m percent and the earnings per share of Stock Y increased by n percent, where m is greater than n. By what percent did the ratio of price per share to earnings per share increase, in terms of m and n?
Options:
A)100 (m-n)%
B)100*(m-n)/(100+n) %
C)m/n%
D)100 (m+n)%
E)100*(m+n)/(100+m)%
Rationale: Let P = the old price per share; E = the old earning per share. Thus P/E is the price to earning ratio before the increases
After the increase the new price is: P*(1+m/100) and the new earning is: E*(1 + n/100)
The new P/E is: (1+m/100)P/(1+n/100)E
The Percent of P/E increase = (new P/E - P/E)/(P/E). Subsititute new P/E to the equation we have:
[(1+m/100)/(1+n/100)*P/E - P/E]/(P/E)*100%. Simplifly the expression and you should get the answer to be:
100*(m-n)/(100+n) %
Answer : B
Answer: B
Question: In Net's hair salon 45% of the customers dye their hair blond, 36% dye their eyebrows blond and 35% straighten their hair. 20% of the customers have none of these three procedures, while 12% take all of these three procedures. What percent of the customers come for exactly 2 of these 3 procedures?
Options:
A)5%
B)9%
C)12%
D)15%
E)21%
Rationale: Let a total of 100 people visit the salon.
Total = 100
Dye hair blonde (A) = 45 % = 45
Dye Eyebrows blonde (B) = 36% = 36
Straighten Hair (C) = 35% = 35
Neither = 20% = 20
All Three = 12% =12
Total = A+B+C - (Sum of Exactly Two group overlaps) - 2*(All three) + Neither
100 = 45+36+35 - (Sum of Exactly Two group overlaps) - 2*12 + 20
(Sum of Exactly Two group overlaps) = 9
%of customers coming for exactly 2 of the 3 procedures = 12%
C
Answer: C
Question: If an item that originally sold for t dollars was marked up by r percent and then discounted by s percent, which of the following expressions represents the final price of the item?
Options:
A)(10,000t + 100t(r – s) – rst)/10,000
B)(10,000t + 100t(s – r) – rst)/10,000
C)(100t(r – s) – rst)/10000
D)(100t(s – r) – rst)/10000
E)10000 /(r – s)
Rationale: Assume t=100, r=10, s=10. So final price is 99. Now put these value each option. Only option A will give right answer.
Answer: A
Question: The present worth of a certain sum due sometime hence is Rs. 1600 and the true discount is Rs. 160. Then banker’s gain is:
Options:
A)16
B)18
C)20
D)21
E)None
Rationale: Sol.
B.G. = (T.D.)² / P.W. = Rs.[160 * 160 / 1600] = Rs. 16.
Answer A
Answer: A
Question: Look at this series: 53, 53, 46, 46, 39, 39, ... What number should come next?
Options:
A)A)12
B)B)14
C)C)27
D)D)32
E)E)86
Rationale: In this series, each number is repeated, then 7 is subtracted to arrive at the next number.
Answer: D
Answer: D
Question: A whale goes on a feeding frenzy that lasts for 9 hours. For the first hour he catches and eats x kilos of plankton. In every hour after the first, it consumes 4 kilos of plankton more than it consumed in the previous hour. If by the end of the frenzy the whale will have consumed a whopping accumulated total 450 kilos of plankton, how many kilos did he consume on the sixth hour?
Options:
A)38
B)47
C)50
D)53
E)54
Rationale: If you list the amount eaten each hour, you'll get an equally spaced list, increasing by 4 each hour. In any equally spaced list, the median equals the mean. Here, the mean is 450/9 = 50, so the median is also 50, and that is the amount eaten in the 5th hour. We need to add 4 to find the total eaten in the next hour, so the answer is 54
option E.
Answer: E
Question: Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 47 years. What will be the age of the B ten years hence?
Options:
A)94
B)23
C)28
D)96
E)26
Rationale: Let the present ages of A, B and C be a, b and c respectively.
Given, [(a - 5) + (b - 5)] / 2 = 40 => a + b = 90 --- (1)
(b + c)/2 = 47 => b + c = 94 --- (2)
Answer: A
Answer: A
Question: In a certain sequence, the first term is 7, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term in this sequence?
Options:
A)13/8
B)39/24
C)8/5
D)5/8
E)8/13
Rationale: let five terms in the sequence be a,b,c,d,e
a=7
b= 1+1/7=8/7
c=1+7/8= 15/8
d= 1+8/15 = 24/15
e= 1+15/24 = 39/24
hence answer should be B.
Answer: B
Question: An investment of d dollars at k percent simple annual interest yields $600 over a 2 year period. In terms of d, what dollar amount invested at the same rate will yield $2,400 over a 3 year period?
Options:
A)(2d)/3
B)(3d)/4
C)(4d)/3
D)(3d)/2
E)(8d)/3
Rationale: 600 dollars in 2 years means 300 dollars in 1 year.
To get 2400 dollars' it will take 8 years.
To get 2400 in 3 years, we need 8/3 times money.
Answer is E.
Answer: E
Question: A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?
Options:
A)78
B)77
C)76
D)79.2
E)75
Rationale: Let the length of the train be x m and its speed be y m/sec.
Then, x/y = 8 => x = 8y
(x + 264)/20 = y
y = 22
Speed = 22 m/sec = 22 * 18/5 = 79.2 km/hr.
Answer: Option D
Answer: D
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 $67500 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 = $67500
6x*1250 = 67500
Solve for x = 9
Option C
Answer: C
Question: A person want to give his money of $2700 to his 3 children A,B,C in the ratio 2:3:4. What is the B's share?
Options:
A)$200
B)$900
C)$700
D)$600
E)$400
Rationale: B's share = 2700*3/9 = $900
Answer is B
Answer: B
Question: An officers identification code consists of a vowel followed by a 3-digit number greater than 200. Exactly 2 of the 3 digits in the code should be identical. How many different codes is it possible to form?
Options:
A)211
B)216
C)1075
D)1080
E)2160
Rationale: An officers identification code will be of the type -,-,-,-
first digit can be selected from any of the 5 vowels in 5C1 ways
now for the remaining three digit lets consider the following two cases
case 1: when the number is greater than 200 but less than 300
number will be of the type 2,_,_. now suppose repeating number is same as first digit number i.e. 2. and the third number is one of the remaining 9 numbers (we are rejecting 2 here, because it will result in 222, which is not acceptable as per the given condition). thus these two number can arrange themselves in two blank spaces in 2! ways. hence total number of numbers in which repeating digit is same as the first digit = 1.9.2! =18
now, suppose that repeating number is different than first digit. thus possible case in this case are 8 as listed below:
211
233
244
255
266
277
288
299
here again we have rejected 200( because number must be greater than 200) and 222 ( exactly two repeating digits are allowed)
thus total possible cases are 18 + 8 =26
case 2: number ranging from 300 to 999
here for first digit we have 7 cases (3,4,5,6,7,8,9)
now if the repeating number is same as the first number then we will have 18 cases ( same reasoning as mentioned in the previous case)
if the repeating number is different than first digit number then we will have 9 cases ( because here number ending with two zeros are allowed)
hence total number of ways = 7(18+9) = 189
thus different number of codes = 5(189+26) = 1075
hence C
Answer: C
Question: In a bag there are 10 black balls and 25 blue balls and 15 white balls. A ball is drawn at random. What is the probability of getting a white or a black ball?
Options:
A)3/2
B)1
C)1/2
D)5/2
E)3
Rationale: total draws =10+25+15=50
probability of getting a white ball = 15/50 . probability of getting a black ball=10/50. probability of getting a white or black ball=15/50+10/50=25/50=1/2. Correct Answer : C
Answer: C
Question: Find: S.l. on Rs 6250 at 14% per annum for 146 days.
Options:
A)Rs.350
B)Rs.450
C)Rs.550
D)Rs.650
E)Rs.600
Rationale: Explanation:
P = Rs. 6250, R = 14 % & T = (146/365) years = 2/5 years .
S.I=(6250 *14 * 2/5)/100=Rs.350
ANSWER IS A
Answer: A
Question: Of the 600 residents of Clermontville, 35% watch the television show Island Survival, 40% watch Lovelost Lawyers and 50% watch Medical Emergency. If all residents watch at least one of these three shows and 18% watch exactly 2 of these shows, then how many Clermontville residents B watch all of the shows?
Options:
A) 150
B) 108
C) 42
D) 21
E) -21
Rationale: OA is D.
100= A+B+C-AB-AC-BC+ABC, which is the same as the following formula
100= A+B+C+(-AB-AC-BC+ABC+ABC+ABC)-2ABC.
The term between parantheses value 18% so the equation to resolve is
100=35+40+50-18-2ABC
therefore the value of ABC is 3.5% of 600,B is 21. D is the correct answer
Answer: D