divelab/Sys2Bench huggingface dataset:
Question: Evaluate permutation equation
59P3
Options:
A)195052
B)195053
C)195054
D)185054
E)None of these
Rationale: Explanation:
nPr=n!/(n−r)!
59P3=59!/(56)!
=59∗58∗57∗56!/(56)!=195054
Option C
Answer: C
Question: A mobile battery in 1 hour charges to 20 percent.How much time (in minute) will it require more to charge to 65 percent.
Options:
A)145
B)150
C)195
D)160
E)130
Rationale: 1 hr =20 percent.Thus 15 min=5 percent .Now to charge 65 percent 195 min.Answer:C
Answer: C
Question: Find the invalid no.from the following series 15 46 63 71 75 77 78
Options:
A)15
B)46
C)75
D)77
E)78
Rationale: In this question, if you start from the beginning, firstly the difference is 31, then the difference is 17, then the difference is 8. So there is no logic. If you start backwards,you can see that firstly, 1 is added, then 2 is added, then 4 is added, then 8,16 and 32 should have been added. So you have got the right clue. So 15 + 32 the first number should be 47 and afterwards, the series becomes + 16, + 8, + 4and so on.
B
Answer: B
Question: A train running at the speed of 50 km/hr crosses a pole in 18 seconds. Find the length of the train.
Options:
A)150
B)188
C)250
D)288
E)300
Rationale: Speed = 50*(5/18) m/sec = 125/9 m/sec
Length of Train (Distance) = Speed * Time
(125/9) * 18 = 250 meter
Answer: C
Answer: C
Question: Find the number of factors of 300 excluding 1 and itself.
Options:
A)18
B)17
C)16
D)14
E)12
Rationale: 300 = 4.75 = 4.25.3 = 22.52.31
Number of factors of 300 = (2 + 1)(2 + 1)(1 + 1) = 18.
There are 16 factors of 300 excluding 1 and itself.
ANSWER:C
Answer: C
Question: The average marks of a class of 35 students is 45 and that of another class of 55 students is 65. Find the average marks of all the students?
Options:
A)52.6
B)52.4
C)52.1
D)57
E)52.9
Rationale: Sum of the marks for the class of 35 students = 35 * 45 = 1575
Sum of the marks for the class of 55 students = 55 * 65 = 3575
Sum of the marks for the class of 90 students =
1575 + 3575 = 5150
Average marks of all the students = 5150/90 = 57.Answer: D
Answer: D
Question: The average of five results is 46 and that of the first four is 45. The fifth result is?
Options:
A)23
B)27
C)21
D)50
E)23
Rationale: 5 * 46 – 4 * 45
= 50
Answer: D
Answer: D
Question: Two hoses are pouring water into an empty pool. Hose 1 alone would fill up the pool in 6 hours. Hose 2 alone would fill up the pool in 9 hours. How long would it take for both hoses to fill up two-thirds of the pool?
Options:
A)5/12 hours
B)5/8 hours
C)8/5 hours
D)12/7 hours
E)12/5 hours
Rationale: Hose 1 would fill the pool alone in 6 hours
i.e. 1 Hour work of Hose 1 = 1/6
Hose 2 would fill the pool alone in 9 hours
i.e. 1 Hour work of Hose 2 = 1/9
i.e. 1 Hour work of Hose1 and Hose2 together = (1/6)+(1/9) = (5/18)
i.e. (5/18) work can be finished by Hose1 and Hose2 together in 1 hour
i.e. (2/3) work can be finished by Hose1 and Hose2 together in 1*(18/5)*(2/3) = 12/5 hour
Answer: Option E
Answer: E
Question: The smallest ratio out of 1:1, 2:1, 1:3,4:1 and 3:1 is?
Options:
A)1:1
B)1:3
C)2:1
D)3:1
E)4:1
Rationale: 1/1=1
1/3=0.333
2/1=2
3/1=3
4/1=4
ANSWER:B
Answer: B
Question: The area of a square is 4489 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
Options:
A)5:28
B)5:19
C)5:12
D)5:13
E)43:134
Rationale: Let the length and the breadth of the rectangle be l cm and b cm respectively. Let the side of the square be a cm.
a2 = 4489
a = 67
L = 2a and b = a - 24
b : l = a - 24 : 2a = 43 : 134
Answer:E
Answer: E
Question: 5^2*2^2*5*2^4 =
Options:
A)3^5*2^5
B)2^9*3^4
C)2^4*3^9
D)5^8
E)6^10
Rationale: 5^2*2^2*5*2^4 =
A) 3^5*2^5
B) 2^9*3^4
C) 2^4*3^9
D) 5^8
E) 2^6*5^3
If the base is same, powers are added so that follows A) 3^5*2^5.
Hence the answer is E
Answer: E
Question: A can complete a project in 10 days and B can complete the same project in 30 days. If A and B start working on the project together and A quits 10 days before the project is completed, in how many days will the project be completed?
Options:
A)18 days
B)15 days
C)26.67 days
D)16 days
E)12 days
Rationale: Let X = the number of days taken to complete the project.
The amount of work done by A is (x-10) * (1/20).
The amount of work done by B is (x) * (1/30).
(1/10)*(x-10) + (1/30)*(x) = 1
(x/10) + (x/30) - 1) = 1
4x/30 = 2
x = 15
Therefore, the answer is B: 15.
Answer: B
Question: A and B go around a circular track of length 1500 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point?
Options:
A)120 sec
B)165 sec
C)300 sec
D)167 sec
E)168 sec
Rationale: Time taken to meet for the first time at the starting point
= LCM { length of the track / speed of A , length of the track / speed of B}
= LCM { 1500/ (36 * 5/18) , 1500/ (54 * 5 /18) }
= LCM (150, 100)
=300sec.
Answer:C
Answer: C
Question: In a country there are 2 hospitals for every 1000 citizens. If there are 50,000 citizens, how many hospitals are there in that country?
Options:
A)50
B)100
C)60
D)75
E)80
Rationale: 2/1000=x/50,000
x=100
Answer is B
Answer: B
Question: A student was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What should be the number in place of x ?
Options:
A)2
B)7
C)8
D)9
E)3
Rationale: Explanation:
Clearly, we have (3 + 11 + 7 + 9 + 15 + 13 + 8 + 19 + 17 + 21 + 14 + x) / 12 = 12.
or 137 + x = 144 or x = 144 - 137 = 7.
Answer: B) 7
Answer: B
Question: A student has to obtain 35% of the total marks to pass. He got 100 marks and failed by 40 marks. The maximum marks are?
Options:
A)280
B)400
C)420
D)480
E)520
Rationale: Let the maximum marks be x
Then, 35% of x = 100+40
35x/100 = 140
35x= 140*100= 14000
x = 400
Answer is B
Answer: B
Question: A rectangular-shaped carpet that measures x feet by y feet is priced at $24. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
Options:
A)180xy
B)216/(xy)
C)20xy
D)20xy/9
E)xy/180
Rationale: The area of the carpet in feet is xy.
The area in square yards is xy / 9.
The price per square yard is 24 / (xy/9) = 216/(xy).
The answer is B.
Answer: B
Question: What is the remainder when 3^86 is divided by 5 ?
Options:
A)1
B)2
C)4
D)0
E)3
Rationale: 3^0 = 1
3^1 = 3
3^2 = 9
3^3 = 27
3^4 = ...1
3^5 = ....3
3^6 = ......9
and so on.
86/4 = 21 (with a remainder 2) so the last number is a 9.
so when 3^86 is divided by 5 the remainder is 4, ANS = C
Answer: C
Question: ‘A’ completes a work in 12 days. ‘B’ completes the same work in 15 days. ‘A’ started working alone and after 3 days B joined him. How many days will they now take together to complete the remaining work?
Options:
A)5
B)8
C)6
D)4
E)None of these
Rationale: Work done by ‘A’ in 3 days
= 1⁄12 × 3 = 1⁄4
∴ Remaining work = 1 - 1⁄4 = 3⁄4
Work done by A and B together = 12×15/27=20/3
∴ Remaining work done by A and B together in
= 3⁄4 × 20⁄3 = 5 days
Answer A
Answer: A
Question: The average of 10 numbers is 23. If each number is increased by 1, what will the new average be?
Options:
A)36
B)24
C)72
D)29
E)22
Rationale: Sum of the 10 numbers = 230
If each number is increased by 1, the total increase =
1 * 10 = 10
The new sum = 230 + 10 = 240 The new average = 240/10
= 24.
Answer:B
Answer: B
Question: Jaya purchase 13 jars in a store then she returned 5 jars to store .Now how many jars she had?
Options:
A)A)5
B)B)11
C)C)19
D)D)8
E)E)4
Rationale: 13-5=8. Answer is D
Answer: D
Question: A certain tax rate is $.62 per $100.00. What is the rate, expressed as a percent?
Options:
A)62%
B)6.2%
C)0.62%
D)0.062%
E)0.0062%
Rationale: Here in question it is asking $.82 is what percent of $ 100.Suppose $ .82 is x% of 100 means
100* (x/100) = .62
Hence x = .82%
So answer is C.
Answer: C
Question: How many meters are there in 440 centimeters?
Options:
A)440 meters
B)3.2 meters
C)4.4 meters
D)4.5 meters
E)4 meter
Rationale: Solution:
1 meter = 100 centimeters
Just divide 440 by 100
440 Ã· 100 = 4.4, so there are 4.4 meters in 440 centimeters
Option C
Answer: C
Question: You roll N (N > 1) number of M (M > 1) sided dice at once. What is the probability they will all land on the same number?
Options:
A)N/(M^N)
B)M/(N^M)
C)1/(M^(N-1))
D)1/(N^(M-1))
E)1/(M-1)^N
Rationale: The correct rolls are any M-ples: 11...1, 22...2, ..., MM...M. This is makes M possibilities. The N dice can roll M*M*...*M (M^N) number of ways. Thus the probability of landing on the same number is M/(M^N)
= 1/(M^(N-1)).
Answer: C.
Answer: C
Question: Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:
Options:
A)Rs. 169.50
B)Rs. 170
C)Rs. 175.50
D)Rs. 175.50
E)None
Rationale: EXPLANATION
Since first and second varieties are mixed in equal proportions.
So, their average price = Rs. (126 + 135 / 2)= Rs. 130.50
So, the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say, Rs. x per kg in the ratio 2 : 2, i.e., 1 : 1. We have to find x.
By the rule of alligation, we have:
x-153/ 22.50 =1
x – 153 = 22.50
x = 175.50
Answer C
Answer: C
Question: John was thrice as old as Tom 6 yrs back. He will be 5/3 times as old as Tom 6 years hence. How old is Tom today?
Options:
A)10
B)11
C)12
D)19
E)21
Rationale: Sol. RMBflSk -6 = 3 (Ravi - 6) ...(j)
and Rupesh + 6 = | (Ravi + 6) ...(ii)
Solving both the equations we get,
Ravi = 12 years.
C
Answer: C
Question: The General Hospital is comprised of, 3/5 Pediatricians, 1/4 Surgeons, and the rest are GP doctors. If 1/4 of the Surgeons are Heart Surgeons, and the hospital doubles the number of GP doctors, what proportion of the hospital are now Heart Surgeons?
Options:
A)2/5
B)1/4
C)1/2
D)1/24
E)1/25
Rationale: Ped = 3/5 = 12/20
Sur = 1/4 = 4/20
GP = 1 - (12/20 + 4/20) = 1 - 16/20 = 4/20
HSur = (1/4)(4/20) = 1/20
If GP doubled => (2)(4) = 8; then, total = 12 + 4 + 8 = 24,
and 1 is HSur => proportion = 1/24.
Answer: D
Answer: D
Question: A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 1980 in all from both of them as interest. The rate of interest per annum is?
Options:
A)16%
B)12%
C)9%
D)10%
E)45%
Rationale: Let the rate be R% p.a. Then,
(5000 * R * 2)/100 + (3000 * R * 4)/100 = 1980
100 R + 120 R = 1980
R = 9%
Answer:C
Answer: C
Question: On a test average (arithmetic mean) test score for 4 students is 85. What must be 5th student's score that average score for 5 students to be 86?
Options:
A)70
B)80
C)90
D)100
E)110
Rationale: (4*85+x)/5=86
x=(5*86)-(4*85)
x= 430 - 340
total score required 430 - 340=90
Correct answer is C
Answer: C
Question: How many ounces of a 60% salt solution must be added to 50 ounces of a 20 percent salt solution so that the resulting mixture is 50% salt?
Options:
A)16.67
B)30
C)50
D)60.33
E)150
Rationale: let x=ounces of 60% salt solution to be added
.2*50+.6x=.5(50+x)
x=150
Answer E
Answer: E
Question: In how many ways can 4 boys and three girls sit in a row such that all boys sit together?
Options:
A)A)670
B)B)484
C)C)720
D)D)576
E)E)398
Rationale: Treat all boys as one unit. Now there are four students and they can be arranged in 4! ways. Again four boys can be arranged among themselves in 4! ways.
Required number of arrangements
= 4! * 4! = 24 * 24
= 576.
Answer:D
Answer: D
Question: Find a a prime number the options below.
Options:
A)78
B)80
C)81
D)82
E)83
Rationale: Clearly, 83 is a prime number.
E
Answer: E
Question: A man misses a bus by 40 minutes if he travels at 30 kmph. If he travels at 40 kmph, then also he misses the bus by 10 minutes. What is the minimum speed required to catch the bus on time?
Options:
A)58.75 kmph
B)68.75 kmph
C)78.75 kmph
D)79.75 kmph
E)48.75 kmph
Rationale: Let the distance to be travelled to catch the bus be x km
x/30 - x/35 = 30/60 => (7x - 6x)/210 = 1/2 => x = 105 km
By traavelling 30 kmph time taken = 60/30 = 2 hours
By taking 2 hours, he is late by 40 min. So, he has to cover 105 km in at most speed = 60/(4/3) = 78.75 kmph.
ANSWER:C
Answer: C
Question: Sum of two numbers is 40 and their difference is 4. The ratio of the numbers is
Options:
A)10:3
B)5:9
C)11:9
D)13:9
E)None of these
Rationale: Explanation:
=>(x+y)/(x−y)=40/4
=>(x+y)=10(x−y)
=>9x=11y=>x/y=11/9
Option C
Answer: C
Question: The average height of 20 students in a class was calculated as 175 cm. It has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 136 cm. What was the actual average height of the students in the class?
Options:
A)174.75 cm
B)174.25 cm
C)173.75 cm
D)173.25 cm
E)172.75 cm
Rationale: The total height was 15 cm too much.
The average height should be reduced by 15 cm/20 = 0.75 cm
The answer is B.
Answer: B
Question: Local kennel has cats and dogs in the ratio of 2:3. If there are 6 fewer cats than dogs, how many dogs are in the kennel?
Options:
A)24
B)18
C)30
D)15
E)12
Rationale: Lets work with the data given to us. We know that there ratio of cats to dogs is 2:3 or
cats 2
dogs 3
we can write number of cats as 2x and number of dogs as 3x and we know that 3x-2x= 6 (therefore x = 6)
Then # of dogs = 3x6= 18
Answer is B
Answer: B
Question: An even positive integer 'x' has 'y' positive integral factors including '1' and the number itself. How many positive integral factors E does the number 4x have?
Options:
A)4y
B)3y
C)16y
D)5y
E)Cannot be determined
Rationale: I tried for x=2,4 and 6. The integral factors E for x and 4x did not have any specific relation.
My answer is E.
Answer: E
Question: Find the odd man out
2880, 490, 96, 24, 8, 4, 4
Options:
A)96
B)8
C)24
D)490
E)4
Rationale: from the right side
4*1=4,
4*2=8
8*3=24
24*4=96
96*5=490 but here given 480 so it's not.
480*6=2880
ANSWER:D
Answer: D
Question: A man's speed with the current is 18 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is?
Options:
A)10
B)18
C)50
D)30
E)40
Rationale: Man's speed with the current = 18 km/hr
=> speed of the man + speed of the current = 18 km/hr
speed of the current is 2.5 km/hr
Hence, speed of the man = 18 - 2.5 = 20.5 km/hr
man's speed against the current = speed of the man - speed of the current
= 20.5 - 2.5 = 18 km/hr
Answer is B.
Answer: B
Question: In a recent election, Ms. Robbins received 6,000 votes cast by independent voters, that is, voters not registered with a specific political party. She also received 10 percent of the votes cast by those voters registered with a political party. If N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Ms. Robbins received?
Options:
A)0.06N + 6,000
B)0.1N + 7,200
C)0.4N + 7,200
D)0.1N + 8,000
E)0.06N + 8,000
Rationale: total vote = N
vote cast by independent voters = 0.4 N
vote cast by registered voters = 0.6 N
vote received by Ms. Robbins = 6000 + 10% of vote be registered voters = 6000 + 0.06 N
Answer choice A
Answer: A
Question: How many Kilograms of Pure water is to be added to 100 Kilograms of a 30% saline solution to make it a 10% saline solution.
Options:
A)100
B)200
C)300
D)400
E)500
Rationale: Let x be the weights, in Kilograms, of pure water to be added. Let y be the weight, in Kilograms, of the 10% solution. Hence
x + 100 = y
x = 200 Kilograms.
Answer B
Answer: B
Question: If we know that a positive integer is a multiple of 4, how many (distinct) possibilities are there for the last digit of the integer?
Options:
A)3
B)4
C)5
D)6
E)7
Rationale: the last digit of the integer may be any of (0,2,4,6,8)
so, 1/5
ANSWER:C
Answer: C
Question: Two mechanics were working on your car. One can complete the given job in 4 hours, but the new guy takes eight hours. They worked together for the first two hours, but then the first guy left to help another mechanic on a different job. How long will it take the new guy to finish your car?
Options:
A)2
B)4/3
C)15/4
D)10/3
E)17/5
Rationale: Rate(1)=1/4
Rate(2)=1/8
Combined = 3/8
Work done in 2 days=3/4
Work left = 1/4
Rate * Time = Work left
1/8 * Time = 1/4
Time=2
A
Answer: A
Question: The water level in a rectangular swimming pool measuring 20 feet by 25 feet is to be lowered by 6 inches. How many gallons of water must be removed? (1 cu ft = 7.5 gallons)
Options:
A)100
B)250
C)1875
D)1200
E)5625
Rationale: 6 inches = 1/2 feet (there are 12 inches in a foot.), so 20*25*1/2=250 feet^3 of water must be removed, which equals to 250*7.5=1875 gallons.
Answer: C.
Answer: C
Question: (?)-19657-33994=9999
Options:
A)63650
B)53760
C)59640
D)61560
E)None of them
Rationale: Let x-53651=9999
Then x=53651+9999
=63650
Answer is A
Answer: A
Question: By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
Options:
A)8
B)9
C)6
D)4
E)1
Rationale: 80% --- 12
120% --- ?
80/120 * 12 = 8
Answer: A
Answer: A
Question: In a kilometer race, A beats B by 52 meters or 18 seconds. What time does A take to complete the race?
Options:
A)277 sec
B)190 sec
C)328 sec
D)367 sec
E)376 sec
Rationale: Time taken by B run 1000 meters = (1000 * 18)/52 = 346 sec.
Time taken by A = 346 - 18 = 328 sec.Answer: C
Answer: C
Question: x is what percent of y percent of z, in terms of x, y and z?
Options:
A)100xy/z
B)100yz/x
C)100yz/x
D)10000x/yz
E)10000yz/x
Rationale: Soln:-
y% of z is just (y/100)*z, or yz/100. So we want to answer the question: x is what percent of yz/100? Say x is equal to m% of yz/100; then we have:
x = (m/100)*(yz/100)
10,000x/yz = m
and since m is what we were asked to find, the answer is 10,000x/yz
ANSWER:B
Answer: B
Question: How much water must be added to 68 litres of milk at 1 1⁄2 litres for 20 so as to have a mixture worth 10 2⁄3 a litre?
Options:
A)10 litres
B)17 litres
C)15 litres
D)18 litres
E)None of these
Rationale: C.P. of 1 litre of milk = (20 × 2⁄3) = 40⁄3
∴ Ratio of water and milk = 8⁄3 : 32⁄3 = 8 : 32 = 1 : 4
∴ Quantity of water to be added to 68 litres of milk
= (1⁄4 × 68) litres = 17 litres.
Answer B
Answer: B
Question: Sravan travelled for 15 hours. He covered the first half of the distance at 45 kmph and remaining half of the distance at 30 kmph. Find the distance travelled by Sravan?
Options:
A)520
B)540
C)550
D)560
E)440
Rationale: Let the distance travelled be x km.
Total time = (x/2)/45 + (x/2)/30 = 15 => x/90+ x/60 = 15 => (2x + 3x)/180 = 15
=> x = 540 km
Answer:B
Answer: B
Question: A reindeer chased by a Cheetah passed a certain tree at a constant speed of 50 miles per hour while being chased by a Cheetah. Then, 2 minutes later, the Cheetah passed the same tree at a constant speed of 60 miles per hour. If both animals maintained their speeds, how long after the Cheetah passed the tree did the Cheetah catch up with the reindeer?
Options:
A)30 min
B)45 min
C)1 hr
D)3 min
E)1 min
Rationale: When the Cheetah is at the tree, the reindeer is 50/30 miles ahead on the highway. (the distance covered in 2 min)
every hour, Cheetah runs 10miles more than the deer. how many hours will it takes it to cover 50/30 miles more? the answer is (50/30)/10 = 1/60=1 min
Answer E
Answer: D
Question: The ratio of incomes of two person P1 and P2 is 5 : 4 and the ratio of their expenditures is 3 : 2. If at the end of the year, each saves Rs.1600, then what is the income of P1?
Options:
A)Rs.800
B)Rs.2400
C)Rs.4000
D)Rs.3200
E)Rs.4200
Rationale: Let the income of P1 and P2 be Rs. 5x and Rs.4x respectively and let their
expenditures be Rs.3y and 2y respectively.
Then, 5x – 3y = 1600 …(i) and 4x – 2y = 1600 ……..(ii)
On multiplying (i) by 2, (ii) by 3 and subtracting, we get : 2x = 1600 -> x = 800
P1’s income = Rs 5*800 = Rs.4000
ANSWER:C
Answer: C
Question: A person purchased a TV set for Rs. 2000 and a DVD player for Rs. 2000 . He sold both the items together for Rs. 5000. What percentage of profit did he make?
Options:
A)80%
B)80%
C)40%
D)48%
E)25%
Rationale: The total CP = Rs. 2000 + Rs. 2000
= Rs. 4000 and SP = Rs. 5000
Profit(%) = (5000 - 4000)/4000 * 100
= 25%
Answer: E
Answer: E
Question: Kim has 6 pairs of shoes; each pair is a different color. If Kim randomly selects 2 shoes without replacement from the 12 shoes, what is the probability that she will select 2 shoes of the same color?
Options:
A)2/5
B)1/5
C)1/9
D)1/11
E)1/25
Rationale: Total pairs = 12C2 = 66; Same Color Pairs= 6C1*1C1=6; Prob = 1/11
Ans D
Answer: D
Question: 5+5
Options:
A)9
B)12
C)20
D)10
E)0
Rationale: D
Answer: D
Question: The price for a loaf of bread in April was $1.20, in May the price was $1.27, and in June the price was $1.08. If 2/3 as much bread was sold in April as in May, and twice as much was sold in June as in April, what was the average price for a loaf of bread sold during the three-month period?
Options:
A)$1.18
B)$1.17
C)$1.16
D)$1.15
E)$1.14
Rationale: Let x be the number of loaves sold in May.
Then 2x/3 loaves were sold in April and 4x/3 loaves were sold in June.
The average price was (2x/3)(120) + 127x + (4x/3)(108) / (2x/3 + x + 4x/3) =
(80 + 127 + 144) / (3) = 351/3 = $1.17
The answer is B.
Answer: B
Question: Two employees M and N are paid a total of Rs. 550 per week by their employer. If M is paid 120 percent of the sum paid to N, how much is N paid per week?
Options:
A)Rs.230
B)Rs.240
C)Rs.250
D)Rs.300
E)Rs.320
Rationale: Let the amount paid to M per week = x
and the amount paid to N per week = y
Then x + y = 550
But x = 120% of y = 120y/100 = 12y/10
∴12y/10 + y = 550
⇒ y[12/10 + 1] = 550
⇒ 22y/10 = 550
⇒ 22y = 5500
⇒ y = 5500/22 = 500/2 = Rs.250
C)
Answer: C
Question: What number times (1⁄7)^2 will give the value of 7^3?
Options:
A)7
B)49
C)343
D)2401
E)16,807
Rationale: x*(1/7)^2 = 7^3
x = 7^2*7^3 = 7^5 = 16,807
The answer is E.
Answer: E
Question: If a boy sells a book for Rs. 450 he gets a loss of 10 %, then find cost price. To gain 10 %, what should be the selling price?
Options:
A)400, 500
B)550, 600
C)500, 550
D)475, 525
E)520, 450
Rationale: 1) Find cost price
Let C.P. of book = x and S.P. = Rs. 450
S.P. of book = C.P. – (10% of C.P.)
S.P. = x – (0.10x)
450 = 0.9 x
x i.e cost price = Rs. 500
2) Find Selling Price to gain 10 %.
Now, we are asked to find selling price to gain 10% profit.
Hint:
Selling Price =	(100 + Gain%)	/100*C.P.
Selling Price =	(100 + 10)/100*500
Selling Price =	(110/100)*500
Therefore, selling Price = Rs. 550
ANSWER IS C
Answer: C
Question: A certain bridge is 4,024 feet long. Approximately how many minutes does it take to cross this bridge at a constant speed of 11 miles per hour? (1 mile = 5,280 feet)
Options:
A) 1
B) 2
C) 4
D) 6
E) 7
Rationale: Distance: 4024 feet. This is (4024/5280) miles = 0.76 miles
Speed: 11 miles per hour
Time: (Distance / Speed) (0.76/11) {This will come in Hours}. Multiply by 60 to get answer in minutes. It is 4.15 minutes.
Answer to be 4 minutes.
ANS C
Answer: C
Question: If (-7)^(8x) = 7^(12 - 5x) and x is an integer, what is the value of x ?
Options:
A)5
B)-4
C)1
D)2
E)3
Rationale: Since x is an integer, (-7)^(8x) is always positive.
So, 7^8x = 7^(13 - 5x)
8x = 12 - 5x
12x = 12
x = 1
Answer: C
Answer: C
Question: How many shots of 1cm radius can be prepared from a sphere of 5cm radius?
Options:
A)33
B)88
C)27
D)125
E)199
Rationale: 4/3 Ï€ * 5 * 5 * 5 = 4/3 Ï€ * 1 * 1 * 1 * x
x = 125
Answer: D
Answer: D
Question: if N is a prime number bigger than 5. Which of the following expressions must be even?
Options:
A)72
B)(b) N^2+2.
C)(c) N(N+2).
D)(d) (N+1)(N+2)
E)(e) (N-2)^2
Rationale: N =7
a=81 odd
b =51 odd
c = 63 odd
d = 72 even
e =25 odd
A
Answer: A
Question: A train passes a station platform in 27 seconds and a man standing on the platform in 16 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Options:
A)299
B)165
C)170
D)185
E)112
Rationale: Speed = [54 * 5/18] m/sec = 15 m/sec.
Length of the train = (15 * 16) m = 240 m.
Let the length of the platform be x meters.
Then, x + 240 / 27 = 15
x + 240 = 405
x = 165 m.
Answer:B
Answer: B