divelab/Sys2Bench huggingface dataset:
Question: If 3^x*4^y = 59,049 and x – y = 10, then x = ?
Options:
A)10
B)11
C)12
D)13
E)14
Rationale: Since 59,049 is an odd number, it is not a multiple of 4.
This means that y must equal zero.
Since x - y = 10 and y = 0, then x = 10.
The answer is A.
Answer: A
Question: How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
Options:
A)12.8
B)12.1
C)12.7
D)12.6
E)12.2
Rationale: Speed = 72 * 5/18 = 20 m/sec
Total distance covered = 110 + 132 = 242 m.
Required time = 242/20 = 12.1 sec.
Answer: B
Answer: B
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm?
Options:
A)716 cm2
B)176 cm2
C)285 cm2
D)751 cm2
E)175 cm2
Rationale: Area of a trapezium
= 1/2 (sum of parallel sides) * (perpendicular distance between them)
= 1/2 (20 + 18) * (15)
= 285 cm2
Answer: C
Answer: C
Question: 40% of a number is more than 20% of 650 by 190. Find the number?
Options:
A)228
B)276
C)800
D)288
E)121
Rationale: (40/100) * X – (20/100) * 650 = 190
2/5 X = 320
X = 800
Answer:C
Answer: C
Question: A train 130 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 4 km/hr in the direction opposite to that in which the train is going?
Options:
A)10
B)6.5
C)7
D)7.13
E)10.2
Rationale: Speed of train relative to man = 60 +4 = 64 km/hr.
= 64* 5/18 = 160/9 m/sec.
Time taken to pass the men = 130 * 9/160 = 7.13 sec.
Answer: Option D
Answer: D
Question: 11, 13, 17, 19, 23, 29, 31, 37, 41, ?
Options:
A)43
B)47
C)51
D)53
E)43
Rationale: The series consists of prime numbers.
Answer : A.
Answer: A
Question: Calculate how many days it will take for 8 boys to paint a 50 m long wall if 6 boys can paint a 60 m long wall in 5 days,
Options:
A)4.13 days
B)3.13 days
C)513 days
D)9.13 days
E)2 days
Rationale: The length of wall painted by one boy in one day = 60 / 6 * 1/5 = 2 m
No. of days required to paint 50 m cloth by 8 boys = 50/ 8 *1/ 2 = 3.13 days.
B
Answer: B
Question: If the number 517 * 324 is completely divisible by 3, then the smallest whole number in the place of * will be:
Options:
A)0
B)1
C)2
D)None of these
E)Cannot be determined
Rationale: Explanation: Sum of digits = (5 + 1 + 7 + x + 3 + 2 + 4) = (22 + x), which must be divisible by 3.
x = 2.
Answer: Option C
Answer: C
Question: If 5log(4*5^2) = x, find x
Options:
A)8
B)6
C)7
D)10
E)9
Rationale: 5(log2^2*5^2)=x
5log(5*2)^2=x
5*2log(5*2)=x
10log10=x
log10 base 10=1
so
10*1=x
x=10
ANSWER:D
Answer: D
Question: Mangala completes a piece of work in 10 days, Raju completes the same work in 30 days. If both of them work together, then the number of days required to complete the work is?
Options:
A)8 days
B)10 days
C)12 days
D)14 days
E)30/4 days
Rationale: If A can complete a work in x days and B can complete the same work in y days, then, both
of them together can complete the work in x y/ x+ y days.
That is, the required No. of days = 10 Ã— 30/40 = 30/4 days
E)
Answer: E
Question: How much interest can a person get on Rs. 8100 at 17.5% p.a. simple interest for a period of two years and six months?
Options:
A)3543.75
B)3587.59
C)3587.5
D)3587.52
E)3587.56
Rationale: I = (8100 * 2.5 * 17.5)/100 = (8100 * 5 * 35)/(100 * 2 * 2) = Rs. 3543.75.Answer: A
Answer: A
Question: By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent?
Options:
A)22%
B)25%
C)28%
D)87%
E)16%
Rationale: SP = CP + g
150 SP = 150 CP + 30 SP
120 SP = 150 CP
120 --- 30 CP
100 --- ? => 25%
Answer: B
Answer: B
Question: If the number 481 * 673 is completely divisible by 9, then the smallest whole number in place of * will be:
Options:
A)5
B)7
C)6
D)8
E)9
Rationale: Sum of digits = (4 + 8 + 1 + x + 6 + 7 + 3) = (29 + x), which must be divisible by 9.
x = 7.
B
Answer: B
Question: If the denominator of a fraction is increased by 4, then the fraction becomes 5/8. If the numerator is 11 less than the denominator, find the numerator.
Options:
A)25
B)20
C)30
D)15
E)35
Rationale: iniatial fraction=x/y;
after increasing deno..by 4=> x/(y+4)=5/8;
given x = y - 11;
then (y-11)/(y+4)=5/8=>y=36;
x = 36-11 = 25
ANSWER:A
Answer: A
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling alongthe oundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
Options:
A)155600 m
B)123600 m
C)153600 m
D)123344 m
E)124556 m
Rationale: Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m.
60
Let length = 3x metres and breadth = 2x metres.
Then, 2(3x + 2x) = 1600 or x = 160.
Length = 480 m and Breadth = 320 m.
Area = (480 x 320) m2 = 153600 m
C
Answer: C
Question: Ayesha's father was 28 years of age when she was born while her mother was 10 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Options:
A)22 years
B)44 years
C)46 years
D)88 years
E)10 years
Rationale: Explanation:
Mother's age when Ayesha's brother was born = 10 years.
Father's age when Ayesha's brother was born = (28 + 4) years = 32 years.
Required difference = (32 - 10) years = 22 years.
Answer: A
Answer: A
Question: In a graduate physics course, 70 percent of the students are male and 30 percent of the students are married. If one-sevenths of the male students are married, what fraction of the female students is single?
Options:
A)1/3
B)1/7
C)1/2
D)2/3
E)5/7
Rationale: let assume there are 100 students of which 70 are male and 30 are females
if 30 are married then 70 will be single.
now its given that two-sevenths of the male students are married that means 1/7 of 70 = 10 males are married
if 30 is the total number of students who are married and out of that 10 are males then the remaining 20 will be females who are married.
total females = 30
married females = 20
then single females = 30-20 = 10
we need to find the fraction of female students who are single i.e single female students / total female student
= 10/30 = 1/3 [A]
Answer: A
Question: When x is multiplied by 2, the result is 19 more than the result of subtracting x from 26. What is the value of x?
Options:
A)-4
B)-2
C)15
D)13
E)22
Rationale: The equation that can be formed is:
2x-19=26-x
or, 3x=45
or, x=15.
C answer.
Answer: C
Question: A certain number X when divided by 243 leaves a remainder of 83. Which of the following can be subtracted from X to make X divisible by 82?
Options:
A)17
B)27
C)37
D)80
E)57
Rationale: Least possible value of the number is 243 + 83 = 326
Further it is given the number must be divisible by 82 .
326/82 = Gives remainder as 80
So, 80 must be subtracted from the number , answer is (C)
Answer: C
Question: When four fair dice are rolled simultaneously, in how many outcomes will at least one of the dice show 3?
Options:
A)233
B)671
C)287
D)279
E)171
Rationale: Explanation:
When 4 dice are rolled simultaneously, there will be a total of 6 x 6 x 6 x 6 = 1296 outcomes.
The number of outcomes in which none of the 4 dice show 3 will be 5 x 5 x 5 x 5 = 625 outcomes.
Therefore, the number of outcomes in which at least one die will show 3 = 1296 – 625 = 671
Answer: B) 671
Answer: B
Question: There are 100 employees in a room. 99% are President. How many managers must leave the room to bring down the percentage of President to 98%?
Options:
A) 1
B) 2
C) 46
D) 50
E) 97
Rationale: We have 99 Presidents and 1 director. That 1 director to compose 2% of the total number of people, there must be 50 people in the room, hence 50 Presidents must leave.
Answer: B.
Answer: B
Question: After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article?
Options:
A)1667
B)6789
C)1200
D)6151
E)1421
Rationale: CP* (76/100)
= 912
CP= 12 * 100 => CP
= 1200
Answer: C
Answer: C
Question: A committee of three students has to be formed. There are five candidates: Jane, Joan, Paul, Stuart, and Jessica. If Paul and Stuart refuse to be in the committee together and Jane refuses to be in the committee without Paul, how many committees are possible?
Options:
A)3
B)4
C)5
D)6
E)8
Rationale: If Paul is in the committee : We must choose 2 out of 3 others (No Stuart) --> 3 ways
If Stuart is in the committee : No Paul & Hence no Jane, so the other 2 must be chose --> 1 way
If neither Paul nor Stuart are in the committee, 3 students left, but since no Paul, no Jane : No commitee possible
Answer : 4 B
Answer: B
Question: Two trains 121 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Options:
A)5.15 sec
B)7.15 sec
C)3.15 sec
D)8.15 sec
E)6.15 sec
Rationale: B
7.15 sec
T = (121 + 165)/ (80 + 65) * 18/5
T = 7.15
Answer: B
Question: If the price of a certain computer increased 30 percent from d dollars to 338 dollars, then 2d =
Options:
A)540
B)520
C)619
D)649
E)700
Rationale: Before Price increase Price = d
After 30% Price increase Price = d+(30/100)*D = 1.3d = 338 (Given)
i.e. d = 338/1.3 = $260
i.e. 2d = 2*260 = 520
Answer: option B
Answer: B
Question: Which of the following must be true?
1) Every prime number greater than 5 can be written as either as 3n+1 or 3n-1
2) Every prime number greater than 5 can be written as 4n+1 or 4n-1
3) Every number greater than 5 of the form 3n+1 or 3n-1 is a prime number.
Options:
A)1,2,3
B)2,3
C)only 1
D)1,2
E)only 2
Rationale: Every prime number greater than 3 can be written in the form of 3n+1 or 3n-1 where n is an integer. So 1 can be possible.
3. This is not possible as 2 and 3 are being prime , we can't write then in the form of 3n+1 or 3n-1.
D
Answer: D
Question: There are an odd number of bananas in every bunch of bananas (b = number of bananas per bunch, and B = number bunches of bananas), and every bag of apples has an even number of apples (a = number apples per bag, and A = number bags of apples). The store refuses to sell individual items. The store only sells bunches and bags. Which equation shows how the fruits can be combined to ensure an equal number of bananas and apples?
Options:
A)(2B + 1)(2b + 1) = (A)(a)
B)(2Bb + 1) = (Aa + 1)
C)(1/2)(4B + 2)(2b + 1) = (A)(2a + 1)
D)(B)(2b + 1) = (A)(2a)
E)(B + 1)(b) = (2A + 1)(2a + 1)
Rationale: Divisible by 2 (Parity Mathematics) states: an even number is an integer of the form n = 2k, where k is an integer; an odd number is an integer of the form n = 2k + 1.
So, (A)(2a) will give an even number of apples,
and (B)(2b + 1), from Parity Mathematics Rule: The sum of two odd numbers is even, will give an even number of bananas.
(B)(2b + 1) = (A)(2a)
Answer: D
Answer: D
Question: If x and y are positive numbers and z = xy^2, a 20 percent increase in x and a 10 percent decrease in y would result in which of the following changes in z?
Options:
A)decrease of 2.8%
B)decrease of 11.4%
C)increase of 4.6%
D)increase of 15.8%
E)increase of 22.4%
Rationale: After the changes, z = 1.2x*(0.9y)^2 = (1.2*0.81)xy^2 = 0.972*z
The answer is A.
Answer: A
Question: What is the remainder when 7^74 - 10^74 is divided by 24?
Options:
A)3
B)1
C)2
D)0
E)None of these
Rationale: easiest way for me: 7^74 - 5^74 = (49)^37-25^37 = (24*2+1)^37 - (24+1)^37 -> remainder is 1^37 - 1^37 = 0
Ans :D
Answer: D
Question: A number when divided by 44, gives 400 as quotient and 0 as remainder. What will be the remainder when dividing the same number by 35
Options:
A)A)30
B)B)3
C)C)4
D)D)6
E)E)7
Rationale: Explanation:
P ÷ 44 = 400
=> P = 400 * 44 = 17600
P / 35 = 17600 / 35 = 502, remainder = 30
Answer: Option A
Answer: A
Question: Out of four numbers ,the average of first three is 16 and that of the last three is 15. If the last number is 18,the first number is :
Options:
A)22
B)21
C)77
D)99
E)27
Rationale: Explanation:
Let the numbers be a,b,c,d
Given, a + b + c = 48, b + c + d = 45
Now, d = 18
thus, b + c + 18 = 45 ⇒ b + c = 27
Putting the value of b + c in a + b + c = 48
a + 27 = 48 ⇒ a = 21
Answer: B
Answer: B
Question: A certain bus driver is paid a regular rate of $16 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $1340 in total compensation, how many total hours did he work that week?
Options:
A)76
B)60
C)65
D)48
E)52
Rationale: For 40 hrs = 40*16=640
Excess = 1340-640=700
For extra hours =.75(16)=12+16=28
Number of extra hrs =700/28=25
Total hrs =40+25=65
Answer C 65
Answer: C
Question: The average age of a committee of 8 members is 44 years. A member aged 56 years retired and his place was taken by another member aged 44 years . The average age of
present committee is;
Options:
A)39 years
B)38 years
C)42.5 years
D)35 years
E)37 years
Rationale: Total age of the committee = 44*8 = 352,
Total age when a member is retired
and a new one was joined = 352-56 +44, =340
Average age of present committee = 340/8 = 42.5.
ANSWER:C
Answer: C
Question: A typist uses a paper 12" by 5" length wise and leaves a margin of 1" at the top and the bottom and a margin of ½" on either side. What fractional part of the paper is available to him for typing ?
Options:
A)2⁄3
B)1⁄2
C)1⁄3
D)5⁄7
E)None of these
Rationale: Area of paper = 12 × 5 = 60 sq. inch
Area of typing part = (12 - 1 × 2) × (5 - 1⁄2 × 2)
= (12 – 2) × (5 – 1) = (10 × 4) sq. inch
∴ Required fraction = 40⁄60 = 2⁄3
Answer A
Answer: A
Question: A rectangular-shaped carpet remnant that measures x feet by y feet is priced at $60. What is the cost of the carpet, in dollars per square yard? (9 square feet = 1 square yard)
Options:
A)540/(xy)
B)540xy
C)xy/9
D)xy/60
E)60xy
Rationale: xy sq ft = $60
1 sq ft = $60/xy
multiplying by 9 on both side
9 sq ft = $540/xy
or 1 sq yard = $540/xy
Hence A
Answer: A
Question: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Options:
A)23
B)27
C)28
D)29
E)31
Rationale: The total of seven numbers = 7X18 = 126
The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99
So, the middle number is (126 - 99 ) = 27
B
Answer: B
Question: A carpenter worked alone for 1 day on a job that would take him 5 more days to finish. He and another carpenter completed the job in 4 more days. How many days would it have taken the second carpenter to do the complete job working alone?
Options:
A)4 2/3
B)7
C)9
D)14
E)24
Rationale: A carpenter worked only 1 day on something that takes him 5 MORE days.
Means;
Carpenter finishes his work in 6 days.
Let his buddy finish the same task in x days.
Respective rates per day:
1/6 AND 1/x
To complete 1 work:
First guy worked for 5 days @ rate=1/6 per day.
Second one worked for 4 days @ rate=1/x per day
Expression:
Days*Rate=Work
5*1/6+4*1/x=1
5x+24=6x
x=24 days.
Ans:E
Answer: E
Question: what is the remainder when 789456123 is divided by 999
Options:
A)359
B)369
C)379
D)388
E)399
Rationale: 789456123 / 999
789456123 / 9*111
87717347 / 111 => rem = 41
we have cancelled it by 9
reqd remainder = 9*41 = 369
ANSWER:B
Answer: B
Question: A mixture of 150 liters of water and milk contains 20% milk. How much more milk should be added so that milk becomes 25% of the new mixture?
Options:
A)10
B)20
C)30
D)40
E)50
Rationale: A
10 liters
Number of liters of milk in150 liters of the mixture = 20% of 150 = 20/100 * 150 = 30 liters.
P liters of milk added to the mixture to make milk 25% of the new mixture.
Total amount of milk becomes (30 + P) and total volume of mixture is (150 + P).
(30 + P) = 25/100 * (150 + P)
120 + 4P = 150 + P => P = 10 liters.
Answer: A
Question: 8 men, working 7 hours a day can complete a work in 18 days. How many hours a day must 12 men work to complete the same work in 12 days?
Options:
A)6
B)7
C)8
D)9
E)10
Rationale: The number of hours required to complete the work is 8*7*18 = 1008
12 × 12 × (x) = 1008
x = 7
The answer is B.
Answer: B
Question: The salary of a person was reduced by 20%. By what percent should his reduced salary be raised so as to bring it at par with his original salary?
Options:
A)50%
B)32%
C)25%
D)43%
E)29%
Rationale: Let the original salary be $100
New salary = $80
Increase on 80 = 20
increase on 100 = 20/80 *100 = 25%
Answer is C
Answer: C
Question: A, B, C, D and E are 5 consecutive points on a straight line. If BC = 2CD, DE = 8, AB = 5 and AC = 11, what is the length of AE?
Options:
A)18
B)20
C)22
D)24
E)26
Rationale: AC = 11 and AB = 5, so BC = 6.
BC = 2CD so CD = 3.
The length of AE is AB+BC+CD+DE = 5+6+3+8 = 22
The answer is C.
Answer: C
Question: The population of a town was 1,60,000 three years ago, If it increased by 3%, 2.5% and 5% respectively in the last three years, then the present population in
Options:
A)177369
B)177329
C)177629
D)177366
E)1773198
Rationale: Explanation:
Present population = 160000 * (1 + 3/100)(1 + 5/200)(1 + 5/100)
= 177366.
Answer: D) 177366
Answer: D
Question: If n divided by 7 has a remainder of 2, what is the remainder when 6 times n is divided by 7?
Options:
A)1
B)2
C)3
D)5
E)6
Rationale: As per question => N=7P+2 for some integer p
hence 6N => 42Q + 12 => remainder =>12 for some integer Q
Alternatively => N=2 > 6N=> 12 =>12 divided by 7 will leave a remainder 5
hence D
Answer: D
Question: Peter's internet provider offers unlimited traffic which costs $0.5 per day charged off at 12 a.m. The service is discontinued when client's debt exceeds $5. If today in the morning Peter makes a payment of $7, for how many days, including today, will she be connected to the internet without any additional payments, given her initial balance was $0?
Options:
A) 15
B) 24
C) 25
D) 26
E) 13
Rationale: day 0- payment of $7 is made in the morning (after 12 am midnight)
day 1 onwards(after 12 am midnight) internet service will begin and will run for 7*2=14 days i.e. at the end of day 15 balance will be zero.
now Peter can still use the internet till her debt reaches $5 which means total of 5*2=10 days.
now the question states for how many days, including today, will she be connected to the internet without any additional paymentsi.e. we will have to include day0 also in our final answer. therefore total no. of days =1+14+10=25=C
Answer: C
Question: At a dinner party, 7 people are to be seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. what is the total number of different possible seating arrangements for the group?
Options:
A)5
B)10
C)24
D)32
E)720
Rationale: Soln: Since the arrangement is circular and 2 seating arrangements are considered different only when the positions of the people are different relative to each other, we can find the total number of possible seating arrangements, by fixing one person's position and arranging the others.
Thus if one person's position is fixed, the others can be arranged in 6! =720 ways.
Ans is E.
Answer: E
Question: A building contractor employs 20 male, 15 female and 5 child workers. To a male worker he pays Rs.35 per day, to a female worker Rs.20 per day and a child worker Rs.8 per day. The average wage per day paid by the contractor is?
Options:
A)22
B)23
C)28
D)29
E)26
Rationale: 20 15 5
35 20 8
500 + 300 + 40 = 1040/40 = 26
ANSWER:E
Answer: E
Question: The probability that a number selected at random from the first 50 natural numbers is a composite number is ?
Options:
A)17/29
B)17/25
C)17/27
D)17/29
E)17/89
Rationale: The number of exhaustive events = ⁵⁰C₁ = 50.
We have 15 primes from 1 to 50.
Number of favourable cases are 34.
Required probability = 34/50 = 17/25
Answer: B
Answer: B
Question: Rs.880 is divided amongst A, B, C so that 4 times A's share, 5 times B's share and 10 times C's share are all equal. Find C's share?
Options:
A)177
B)150
C)817
D)160
E)616
Rationale: A+B+C = 8804A = 5B = 10C = xA:B:C = 1/4:1/5:1/10= 5:4:22/11 * 880= Rs.160Answer: D
Answer: D
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?
Options:
A)Rs. 500
B)Rs. 1500
C)Rs. 2000
D)Rs. 2200
E)Rs. 2400
Rationale: Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.
Then, 4x - 3x = 1000
x = 1000.
B's share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000.
ANSWER : OPTION C
Answer: C
Question: There is an increase of 30% in the production of milk chocolates in Amul Dairy in one month. If now it is 3,900 milk chocolates per month, what was it one month ago?
Options:
A)10,000 chocolates
B)3000 chocolates
C)8000 chocolates
D)7000 chocolates
E)None of these
Rationale: Let one month ago, production be x chocolates.
Then, 130 % of x = 3900
⇒ x = 3900×100/130=3000 chocolates
Answer B
Answer: B
Question: 5 cars are to be parked in 5 parking slots. there are 3 red colour cars, 1 blue colour car and 1 green car. how many ways the car can be parked?
Options:
A)10 ways
B)15 ways
C)20 ways
D)25 ways
E)30 ways
Rationale: total ways to park the cars having same colour =5!
but according to question ,there are 3 red cars,so no. of ways for parking
3 red cars=3!
and both blue & green in 1 ways
so, 5!/1!*3!*1! = 20 ways
hence correct answer must be 20 ways.
ANSWER:C
Answer: C
Question: A cab driver 5days income was $45, $50, $60, $65 , $80. Then his average income is?
Options:
A)A)$58
B)B)$42
C)C)$60
D)D)$48
E)E)$62
Rationale: avg = sum of observations/number of observations
avg income=(45+50+60+65+80)/5 = 60
Answer is C
Answer: C
Question: An outlet pipe can empty 2/3 rd of a cistern in 20 minutes. In 8 minutes, what part of the cistern will be emptied?
Options:
A)4/9
B)4/3
C)4/2
D)4/8
E)4/15
Rationale: 2/3 ---- 20
? ----- 8 ==> 4/15
Answer: E
Answer: E
Question: On Children’s Day, sweets were to be equally distributed among 175 children in a school. Actually on the Children’s Day 35 children were absent and therefore, each child got 4 sweets extra. How many sweets were available in all for distribution?
Options:
A)2480
B)2680
C)2750
D)2400
E)None of these
Rationale: Let the original number of sweets be x.
According to the question,
x⁄140 - x⁄175 = 4
or, 175x – 140x = 4 × 140 × 175
or, x = 4×140×175/35=2800
Answer E
Answer: E
Question: A fellow borrowed a certain sum of money at 5% per annum at simple interest and in 5 years the interest amounted to Rs.2250 less than the sum lent. What was the sum lent?
Options:
A)1050
B)1220
C)1250
D)1060
E)3000
Rationale: P - 2250 = (P*5*5)/100
P = 3000
Answer: E
Answer: E
Question: A man can row downstream at 18 kmph and upstream at 6 kmph. Find the speed of the man in still water and the speed of stream respectively?
Options:
A)3
B)5
C)6
D)4
E)9
Rationale: Let the speed of the man in still water and speed of stream be x kmph and y kmph respectively.
Given x + y = 18 --- (1)
and x - y = 6 --- (2)
From (1) & (2) 2x = 24 => x = 12, y = 6. Answer: C
Answer: C
Question: Factor | Percent of Respondents |
User-friendly | 56% |
Fast response time | 48% |
Bargain prices | 42% |
The table gives three factors to be considered when choosing an Internet service provider and the percent of the 1,500 respondents to a survey who cited that factor as important. If 30 percent of the respondents cited both “user-friendly” and “fast response time,” what is the maximum possible number of respondents who cited “bargain prices,” but neither “user-friendly” nor “fast response time?”
Options:
A)312
B)336
C)360
D)390
E)420
Rationale: The way I looked at is is as follows:
UserFriendly(UF) + FastResponse (FR) = 30%
UF leftover = 56 - 30 = 26%
FR leftover = 48 - 30 = 18%
Sum these = 74% (ie. 74% were either UF+FR, UF, FR)
26% leftover is the maximum number for Bargain Price
26/100 * 1500 = 26 * 15 = 390 (D).
Answer: D
Question: Can you find the missing number in the sequence given below?
11 18 25 12 19 ? 13 20 27 14 21 28
Options:
A)20
B)21
C)22
D)23
E)26
Rationale: Solution:
26
Explanation :
The sequence is given in the puzzle is :
11 18 25 12 19 ? 13 20 27 14 21 28
Let's break the given series as below:
11 18 25
12 19 ?
13 20 27
14 21 28
Now read the number from left hand side from top to bottom as :
So the number that will replace '?' is 26.
Answer E
Answer: E