divelab/Sys2Bench huggingface dataset:
Question: A walks around a circular field at the rate of one round per hour while B runs around it at the rate of seven rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other after___ minutes?
Options:
A)11 min
B)12 min
C)10 min
D)15 min
E)16 min
Rationale: Since A and B move in the same direction along the circle, so they will first meet each other when there is a difference of one round between the two.
Relative speed of A and B = 7 - 1 = 6 rounds per hour.
Time taken to complete one round at this speed = 1/6 hr = 10 min.
C
Answer: C
Question: A class of boys stands in a single line, One boy is 19th in order from both the ends, How many boys are there in the class ?
Options:
A)37
B)38
C)27
D)29
E)11
Rationale: Explanation:
Number of boys in the class = (18 + 1 +18) = 37
Answer: A) 37
Answer: A
Question: Mr. and Mrs.Ghosh have some children. Seven of them don’t eat lettuce, five of them don’t eat banana and six of them don’t eat cabbage. Exactly two of them don’t eat cabbage and lettuce, three of them don’t eat banana and cabbage, and four of them don’t eat lettuce and banana. One eats none of these. And there is no child who eats all of these.How many children are there?
Options:
A)8
B)9
C)10
D)11
E)12
Rationale: P (A U B U C) = P(A) + P(B) + P(C) - P(A ∩ B) - P(A ∩ C) - P(B ∩ C) + P(A ∩ B ∩ C)
i think using this we can find ans as
no of child = 7+5+6-2-3-4+1 = 10
ANSWER:C
Answer: C
Question: The last two-digits in the multiplication 122 × 123 × 125 × 127 × 129 will be
Options:
A)20
B)50
C)30
D)40
E)10
Rationale: Solution
The answer will be 50 since, (125 × 122) will give 50 as the last two digits. Answer B
Answer: B
Question: A bag contain 25 blue marbles and 25 purple marbles. One marble is drawn at random. What is the probability that
marble is purple?
Options:
A)1/4
B)2/3
C)1/2
D)5/3
E)None of these
Rationale: Explanation:
Total cases = 25 + 25 = 50
Favourable cases = 25
So probability = 25/50 = 1/2
Answer: C
Answer: C
Question: How many positive integers less than 10,000 are there in which the sum of the digits equals 5?
Options:
A)24
B)30
C)48
D)56
E)72
Rationale: Basically, the question asks how many 4 digit numbers (including those in the form 0XXX, 00XX, and 000X) have digits which add up to 5. Think about the question this way: we know that there is a total of 5 to be spread among the 4 digits, we just have to determine the number of ways it can be spread.
Let X represent a sum of 1, and | represent a seperator between two digits. As a result, we will have 5 X's (digits add up to the 5), and 3 |'s (3 digit seperators).
So, for example:
XX|X|X|X = 2111
||XXX|XX = 0032
etc.
There are 8C3 ways to determine where to place the separators. Hence, the answer is 8C3 = 56.
D
Answer: D
Question: Farm A had an average output of 300 kgs of rice per acre. Farm B had an average output of 350 kgs of rice per acre. It is known that Farm B's area is 15 acres less than Farm A's. It is also known that Farm B in total harvested 2000 kgs of rice more than Farm A. What is the area of Farm A?
Options:
A) 130 acres
B) 135 acres
C) 148 acres
D) 160 acres
E) 145 acres
Rationale: The area of Farm A = x acres;
The area of Farm B = x-15 acres.
Total output of Farm A = 300x kgs;
Total output of Farm B = 350(x-15) kgs.
Farm B in total harvested 2000 kgs of rice more than Farm A: 300x+2000=350(x-15) --> x=145 acres.
Answer: E.
Answer: E
Question: A little boy is numbering his collection of flowers by placing single-digit stickers under each specimen. If the boy has 100 flowers, how many stickers does he need? (The numbers are consecutive and the number of the first flower is 1).
Options:
A)152
B)189
C)192
D)195
E)203
Rationale: For the first 9 flowers we need 9 stickers.
For the next 90 we need 2 stickers each or 180 stickers.
For the next 900 flowers we need 3 stickers each.
The first 99 flowers correspond to 189 stickers.
Subtract 99 from the total number of flowers (100).
This leaves 1 flower that uses 3 stickers each. So, multiply 1 by 3 to get 3.
Add 3 to 189 stickers to get 192 stickers.
Answer: C
Answer: C
Question: A furniture store owner decided to drop the price of her recliners by 20% to spur business. By the end of the week she had sold 25% more recliners. What is the percentage increase of the gross?
Options:
A)00%
B)15%
C)20%
D)25%
E)50%
Rationale: Say a recliner is actually worth $100
If she sells 100 recliners then she earns $10000
After the discount of 20%, she will earn $80 per recliner and she sells 25% more ie.,125 recliners
Hence her sales tields 125*80=$10000
Increase in sales=10000-10000=$0
So% increase = 0*100/10000 =0%
A is the answer
Answer: A
Question: The HCF and LCM of two numbers are 18 and 3780 respectively. If one of them is 540, then the second one is:
Options:
A)142
B)126
C)118
D)112
E)116
Rationale: Explanation:
Product of HCF1 and LCM1 = product of HCF2 and LCM2
18× 3780 = 540× HCF2
HCF2 =18 x 3780 / 540
=126
Answer: B
Answer: B
Question: A train 130 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)13 km/hr
B)51.8 km/hr
C)17 km/hr
D)18 km/hr
E)12 km/hr
Rationale: Speed of the train relative to man = (130/10) m/sec
= (13) m/sec. [(25/2) * (18/5)] km/hr
= 46.8 km/hr. Let the speed of the train be x km/hr. Then, relative speed
= (x - 5) km/hr. x - 5 = 46.8 ==> x
= 51.8 km/hr.
Answer:B
Answer: B
Question: What is the diffference between the place value and face value of 3 in the numeral 1375?
Options:
A)286
B)289
C)297
D)300
E)314
Rationale: place value of 3 = 3 * 100 = 300
face value of 3 = 3
300 - 3 = 297
C
Answer: C
Question: If a choir consists of 2 boys and 3 girls, in how many ways can the singers be arranged in a row, so that all the boys are together? Do not differentiate between arrangements that are obtained by swapping two boys or two girls.
Options:
A)120
B)30
C)24
D)11
E)4
Rationale: There are 4 possibilities:
bbggg
gbbgg
ggbbg
gggbb
Think of all 2 boys as a single unit. Together with 3 girls it makes a total of 4 units. The difference between the arrangements is the position of the boys (as a single unit). So the problem reduces to finding the number of unique patterns generated by changing the position of the boys who can occupy 1 of 4 available positions. If the number of available unique positions is 4, then the number of unique patterns equals 4 as well.
Answer: E.
Answer: E
Question: In a partnership between A, B and C. A's capital is Rs.9000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?
Options:
A)23676
B)19766
C)29172
D)21150
E)11267
Rationale: Explanation:
200 + 130 = 330
800 - 330 = 470
200 ---- 9000
470 ---- ? => 21150
Answer:D
Answer: D
Question: Three men sit at a table. One dollar is placed in front of each of them. When a buzzer sounds, the first man to touch the money in front of him keeps the money that is in front of him, while the other two receive nothing. If none of the three men touches the money in front of them, then the amount of money doubles for the next round. After six rounds of this activity, what is the maximum amount of money that any one man could receive?
Options:
A)$4
B)$5
C)$10
D)$15
E)$32
Rationale: The Optimized scenario
After 1st Round - $1. Let nobody touches the amount will double in next round.
After 2nd Round - $2. Let nobody touches the amount will double in next round.
After 3rd Round - $4. Let nobody touches the amount will double in next round.
After 4th Round - $8. Let nobody touches the amount will double in next round.
After 5th Round - $16. Let Man A touches it and get$16
After 6th Round - $16. Let the same Man A touches it and get another$16.
So, after 6th round, the maximum amount a man receives is $32.
Answer (E)
Answer: E
Question: Thomas takes loan from a bank at 20% p.a. simple interest.
After how many years will the sum of money become three times the principal?
Options:
A)2 years 1 month
B)4 years
C)10 years
D)8 years 3 months 2 days
E)5 years
Rationale: Solution: simple interest question
B=A[1+ (tr/100)]; where A is principal amount, B final amount, t time in years and r interest rate
after putting the values 20
3= [1+(20t/100)]
t= 10 which is 10 years.
Answer is C
Answer: C
Question: The expression (5x-2)/(x+1) is equivalent to which of the following?
Options:
A)(5-2)/3
B)5 – (2/3)
C)5 – (x)/(x+3)
D)5 – (17)/(x+3)
E)5 - (7)/(x+3)
Rationale: Easiest way is to pick any number and put in (5x-2)/(x+3). Then check the options with the same number.
I took x=1 and got E as the answer.
Answer: E
Question: A solution contains 8 parts of water for every 7 parts of Lemonade syrup. How many parts of the solution should be removed and replaced with water so that the solution will now contain 20% lemonade syrup?
Options:
A)1.5
B)1.75
C)2.14
D)2.34
E)2.64
Rationale: Let the total solution is 150 L with 80 L water70 L syrup.
To make 20% syrup solution, the result solution must have 120 L syrup and 30 L syrup.
Therefore we are taking 40 L of syrup from initial solution and replacing with water.
using urinary method:
70 L syrup in 150 L solution
40 L syrup in 85.7 L solution
We started by multiplying 10
Now to get to the result we need to divide by 40 => amount of solution to be replaced with water = (85.7/40) = 2.14.
Correct option : C
Answer: C
Question: A certain research group plans to create computer models of x% of a list of 10,000 bacterial species known to inhabit the human body. After a budget cut, the group finds it must reduce this selection by (x − 10)%. In terms of x, how many species of bacteria will the group be able to model?
Options:
A)x*x – 5x
B)(x)(105 – x)
C)(100)(105 – x)
D)(100)(95 – x)
E)(x)*(110 - x)
Rationale: Initial: (x/100)*10000 = 100x (bacterial species)
After reduce BY (x - 10)%, the percentage of bacterial species = 1 - (x - 10)% = 1 - (x - 10)/100 = (110 - x)/100
Note: Difference between reduce to[means: the remain] and reduce by[means: the remain = 1 -reduce by]
So, the number of bacterial species after reducing: 100x*(110 - x)/100 = (x)*(110 - x)
Ans is E.
Answer: E
Question: There are 5 marbles in a bag - 2 are orange and 3 are blue. If two marbles are pulled from the bag, what is the probability Q that at least one will be orange?
Options:
A)Q=7/10
B)Q=3/5
C)Q=2/5
D)3/10
E)1/10
Rationale: Method 1
Probability Q that at least one out of two marbles will be orange = 1 - Probability that both marbles are blue = 1- P(First marble is blue)*P(Second Marble is Blue) = 1- (3/5)(2/4) = 7/10
Method 2
Probability that at least one marble will be orange = P( First Marble is Orange)*P(Second Marble is Blue) + P (First Marble is Blue)*P(Second Marble is Orange) + P(First Marble is Orange) *P(Second Marble is Orange) = (2/5)*(3/4)*2 + (2/5)*(1/4) = 7/10
Method 3
Probabilty that at least one marble will be orange = 1 - Probability that both marbles are blue
= 1 - (Number of ways 2 blue marbles out of 3 can be pulled)/(Number of ways 2 marbles out of 5 can be pulled)
= 1 - 3C2/5C2
= 1-(3/10) = 7/10
Answer :A
Answer: A
Question: A car covers a distance of 690 km in 6 hours. Find its speed?
Options:
A)104
B)115
C)266
D)288
E)121
Rationale: 690/6 = 115 kmph
Answer:B
Answer: B
Question: A sum is divided between A and B in the ratio of 1 : 2. A purchased a car from his part, which depreciates 14 2/7% per annum and B deposited his amount in a bank, which pays him 20% interest per annum compounded annually. By what percentage will the total sum of money increase after two years due to this investment pattern (approximately).
Options:
A)22.48%
B)20.48%
C)24.48%
D)25.48%
E)26.48%
Rationale: Let the total money=300
A's part=100
B's part=200
After 2 years A's part=73.46 (As it depreciates by 14.29% per annum)
After 2 years B's part=288 (using the compound interest formula, A=P(1+r/n)^nt), where
P=200,r=0.2,n=1,t=2)
So, After 2 years total amount=361.46
Therefore % increase in money=(361.46-300)*100/300=20.48%
ANSWER:B
Answer: B
Question: A person travelled from his house to office at 40km/hr and office to house at 60km/hr. Then find the average speed?
Options:
A)30km/hr
B)40km/hr
C)48km/hr
D)50km/hr
E)62km/hr
Rationale: Average speed = (2*40*60)/(40+60)
= 48km/hr
Answer is C
Answer: C
Question: One card is drawn from a pack of 52 cards. What is the probability that the card drawn is not a face card?
Options:
A)4/15
B)5/17
C)9/13
D)3/13
E)7/15
Rationale: Out of 52 cards there will be 16 face cards are there.
probability of getting not a face card = 36/52 = 9/13
Answer is C
Answer: C
Question: Which of the following is a terminating decimal, when expressed in decimals?
Options:
A)17/223
B)13/231
C)41/3
D)41/256
E)35/324
Rationale: The fraction a/b is a terminating fraction only if the denominator b meets any of following conditions
(1) the denominator is a form of 2^n
(2) the denominator is a form of 5^m
(3) the denominator is a form of 2^n*5^m
If the denominator is a form of 2^n*3^m ==> The fraction is not terminating decimal.
ANSWER:D
Answer: D
Question: How many different ways can you select a pilot and a co pilot if you have 50 people to choose from?
Options:
A) 199
B) 200
C) 2450
D) 4950
E) 9900
Rationale: You are not just choosing two from 50. Each of the two people chosen fills a particular slot. The first filling the pilot slot and the second filling the copilot slot is different from the first filling the copilot slot and the second filling the pilot slot.
So the answer is in a sense (50C2) x 2 = 2450.
Ans C
Answer: C
Question: A leak at the bottom of the tank can empty the tank in 5 hours, while an inlet pipe can fill the same tank at the rate of 6 litres per minute. When the tank is full, the inlet is opened and the tank gets empty in 8 hours due to the leakage. Find the capacity of the tank.
Options:
A)1800 litres
B)3600 litres
C)4800 litres
D)5760 litres
E)None of these
Rationale: Explanation:
The capacity of the tank is given by C = (p*q*r)/(r – p) litres
Where, p = time in which the leakage can empty the tank in hours = 5 hours
q = rate at which the inlet fills the tank in lph = 6*60 = 360 lph
r = time in which the tank gets emptied in hours = 8 hours
Hence, C = (5*360*8)/(8 – 5)
C = 4800 litres
ANSWER C
Answer: C
Question: A truck driver drove for 2 days. On the second day, he drove 3 hours longer and at an average speed of 15 miles per hour faster than he drove on the first day. If he drove a total of 1,600 miles and spent 21 hours driving during the 2 days, what was his average speed on the first day, in miles per hour?
Options:
A)25.0
B)30.3
C)35.2
D)40.4
E)67.6
Rationale: Day 1
2t+3=21
t=9
Day 2
t+3
9+3=12
9r+12(r+15)=1600
r=67.6
Answer:E
Answer: E
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 250 m and they cross each other in 10 sec, then the speed of each train is?
Options:
A)30
B)31
C)36
D)25
E)90
Rationale: Let the speed of each train be x m/sec.
Then, relative speed of the two trains = 2x m/sec.
So, 2x = (250 + 250)/10 => x =25
Speed of each train = 25 m/sec.
= 25 * 18/5 =90 km/hr.
Answer: Option E
Answer: E
Question: A rectangular plot measuring 10 meters by 50 meters is to be enclosed by wire fencing. If the poles of the fence are kept 5 meters apart. How many poles will be needed?
Options:
A)46m
B)66m
C)26m
D)24m
E)25m
Rationale: Perimeter of the plot = 2(10+50) = 120m
no of poles =120/5 =24m
Answer: D
Answer: D
Question: In a certain code language, 'book' is coded as 'pencil', 'pencil' is coded as 'mirror', 'mirror' is coded as 'board'. Then what is useful to write on a paper?
Options:
A)2
B)6278
C)277
D)281
E)22
Rationale: We use pencil to write on a paper but here pencil is coded as mirror. So, the answer is mirror.
Answer:A
Answer: A
Question: Each side of a certain parallelogram has length 4. If the area of the parallelogram is 12. Which of the following is the measure of one of its angles?
Options:
A)30
B)48.6
C)60
D)90
E)120
Rationale: area of a parallelogram = b*h
b*h=12
h=12/4=3
sin theta =opp/hyp= 3/4
theta = sin inv of 3/4=48.6 deg
B
Answer: B
Question: A girl was asked to multiply a certain number by 43. She multiplied it by 34 and got his answer less than the correct one by 1206. Find the number to be multiplied.
Options:
A)130
B)132
C)134
D)136
E)138
Rationale: Let the required number be x. Then,
43x – 34x = 1206 or 9x = 1206 or x = 134.
Required number = 134.
ANSWER:C
Answer: C
Question: The price of a certain product increased by the same percent from 1960 to 1970 as from 1970 to 1980. If its price of $1.80 in 1970 was 150 percent of its price in 1960, what was its price in 1980?
Options:
A)a) $ 1.80
B)b) $ 2.00
C)c) $ 2.40
D)d) $ 2.70
E)e) $ 3.00
Rationale: The price in 1970 was 150 percent of its price in 1960, means that the percent increase was 50% from 1960 to 1970 (and from 1970 to 1980).
Therefore the price in 1980 = $1.8*1.5 = $2.7.
Answer: D.
Answer: D
Question: The sum of the first 50 positive even integers is 2550. What is the sum Q of even integers from 102 to 200 inclusive?
Options:
A)5100
B)7550
C)10100
D)15500
E)20100
Rationale: My solution is:
First 50 even integers:
2
4
6
8
<...>
Integers from 102 to 200
102
104
106
108
<...>
We notice that each integer from the second set is 100 more than the respective integer in the first set. Since we have 50 even integers from 102 to 200, then:
Q=2550+(100*50)=7550.B
Answer: B
Question: What is the smallest positive perfect square that is divisible by 12, 15, and 18?
Options:
A)900
B)1,600
C)2,500
D)3,600
E)4,900
Rationale: Take the LCM of 12,15,18 that will come 180. the smallest positive perfect square given in the option that can be divided with 180 is 900.
so the ans is (A)
Answer: A
Question: The volume of a cistern is 840 cubic meters and water is flowing into the cistern. If the surface level of the water is rising at the rate of 0.5 meters per minute, what is the rate, in cubic meters per minutes, at which the water is flowing into the cistern?
Options:
A)0.125
B)0.25
C)0.5
D)0.75
E)Not enough information to determine the rate
Rationale: There are not enough info to answer the question.
A 840 cubic meters rectangle is built from: height*length*width.
From the question we know the volume of the pool and the filling rate.
A pool can have a a height of 10*width8.4*length10 and have a volume of 840 cubic meters, and it can have a height of 1 meter, width of 100 meters and length of 8.4. In both cases the pool will fill up in a different rate.
The correct answer is E.
Answer: E
Question: Calculate the amount that an investor needs to be invest to earn approximately $1076 in interest in 12 months if the investor plans to invest x dollars in a savings account that pays interest at an annual rate of 10% compounded semi-annually?
Options:
A)10500
B)16576
C)10100
D)13500
E)11500
Rationale: the approach is substitution,
our interest requirement is $1076 after 12 months, 2 compounding period.
calculate the compound interest on each option and find out the one that yields 460 in 12 months
10500 yielded $1076
using the formula
A = P(1 + r/n)nt
hence answer is A
Answer: A
Question: A rectangular table, kept against a wall has a three sides free and the wall along the fourth side. The side opposite the wall is twice the length of each of the other two free sides. If the area of the rectangular table is 128 square feet, what is the total length of the table free sides, in feet?
Options:
A)4
B)8
C)16
D)32
E)64
Rationale: two sides EACH = x the third = 2x and the wall side is thus 2x too
x*2x = 2x^2 = 128 ie x^2 = 64 ie x = 8
L = 16 W=8
TOTAL LENGHT OF table's free sides = 2*8+16 = 32
MY ANSWER IS D
Answer: D
Question: A horse has 14 apples, then he finds 7 more apples. Now how many apples does he have?
Options:
A)A)24
B)B)21
C)C)7
D)D)18
E)E)12
Rationale: 14+7=21. Answer is B
Answer: B
Question: Two persons start running simultaneously around a circular track of length 100 m from the same point at speeds of 10 km/hr and 20 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions ?
Options:
A)20 sec
B)12 sec
C)19 sec
D)32 sec
E)28 sec
Rationale: Explanation:
Time taken to meet for the first time anywhere on the track
= length of the track / relative speed
= 100 / (10 + 20)5/18 = 100 x 18 / 30 x 5 = 12 seconds.
Answer: B
Answer: B
Question: Rs. 800 becomes Rs. 956 in 3 years at a certain rate of simple interest. If the rate of interest is increased by 4%, what amount will Rs. 800 become in 3 years.
Options:
A)Rupees 1052
B)Rs 1152
C)Rs 1252
D)Rs 1352
E)None of these
Rationale: Explanation:
S.I. = 956 - 800 = Rs 156
R=156∗100 /800∗3
R=6 1/2%
New Rate = 6 1/2+4
=21/2%
New S.I. = 800×21/2×3100=252
Now amount will be 800 + 252 = 1052
Option A
Answer: A
Question: The ratio of the number of red cars in a certain parking lot to the number of black cars is 3 to 8. If there are 90 black cars in the lot, how many red cars are there in the lot?
Options:
A)11
B)33
C)24
D)31
E)32
Rationale: R/B = 3/8 and B =90
R = 90*3/8 = 33
Answer: B
Question: A batsman scored 120 runs whichincluded 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets
Options:
A)30%
B)50%
C)70%
D)60%
E)80%
Rationale: Number of runs made by running = 110 - (3 x 4 + 8 x 6)
= 120 - (60)
= 60
Now, we need to calculate 60 is what percent of 120.
=> 60/120 * 100 = 50%
B
Answer: B
Question: If x and y are integers, what is the least positive number of 24x+18y?
Options:
A)3
B)6
C)9
D)12
E)15
Rationale: 24x+21y = 6(4x+3y) which will be a minimum positive number when 4x+3y = 1.
4(1) + 3(-1) = 1
Then 6(4x+3y) can have a minimum positive value of 6.
The answer is B.
Answer: B
Question: There are 24 students in Chadâ€™s class. He brought 28 cookies to pass out
for his birthday. How many cookies will each student get? Will there be
any cookies left over?
Options:
A)1-9
B)1-7
C)2-8
D)1-4
E)3-10
Rationale: 28/24 = 1 R 4 Chad will give each student 1 cookie and there will be 4
cookies left over
correct answer D
Answer: D
Question: A woman complete a journey in 25 hours. She travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
Options:
A)334 km.
B)216 km.
C)314 km.
D)224 km.
E)560 km.
Rationale: 0.5x/21 + 0.5x/24 = 25
--> x/21 + x/24 = 50
--> x = 560 km.
E
Answer: E
Question: A car started running at a speed of 30 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 10 hours of the journey.
Options:
A)39 km
B)76 km
C)25 km
D)15 km
E)30 km
Rationale: A
39 km
The total distance covered by the car in the first 10 hours = 30 + 32 + 34 + 36 + 38 + 40 + 42 + 44 + 46 + 48 = sum of 10 terms in AP whose first term is 30 and last term is 48 = 10/2 [30 + 48] = 390 km.
Answer: A
Question: Find the percentage gain if a shop owner sells 39 mtr of fabric and gains Cost Price of 12 meters?
Options:
A)20.5%
B)23.5%
C)21.5%
D)13.5%
E)32.5%
Rationale: Let cost of each metre be Rs. 100.
Therefore, cost price of 12m cloth = 12*100 =1200
cost price of 39m cloth = 39*100 = 3900
Since the trader made the CP of 12m from the sale of 39m therefore
Profit on sale of 39m = cost price of 12 m cloth = 1200
Selling price of 39m = 3900+1200 = 5100
Profit % = 23.5%
B
Answer: B
Question: In 1995, the Johnsons spent $800 on the family’s water bills. Anticipating that water rates would increase in 1996 by 50%, the Johnsons cut back their water usage. By how much must the Johnsons have reduced their 1996 water usage to pay exactly the same amount Y in 1996 as they paid in 1995?
Options:
A)33 1⁄3%
B)40%
C)50%
D)66 2⁄3%
E)100%
Rationale: water rate increases by 50 % in 1996 means 150% of rate in 1995. to pay exactly the same amount in 1996 as they paid in 1995, water use should decrease in the same ratio
Y=150-> 100 means 1/3 rd= 33(1/3) %.A
Answer: A
Question: At what rate percent per annum will a sum of money double in 10years?
Options:
A)10%
B)15%
C)18%
D)20%
E)25%
Rationale: Let principle = P
S.I. = P
T = 10yrs
Rate = 100*P/P*10 = 10%
Answer is A
Answer: A
Question: If 3 ministers are to be seated at a round table conference, then how many different ways can they be seated?
Options:
A)24
B)60
C)2
D)720
E)180
Rationale: Simple formula:
There are (n - 1)! ways to arrange n distinct objects in a circle.
so its (3-1)! = 2! =2=C
Answer: C