divelab/Sys2Bench huggingface dataset:
Question: The letters of the word 'SARITI' are written in all possible orders and these words are written in alphabetical order. Then what is the rank of the word 'SURITI'
Options:
A)- 235
B)- 245
C)- 307
D)- 315
E)- 275
Rationale: Total Number of Words = 6!/2! = 360 [(number of characters)/(repeating group )!]
After S, we have T and A.
Number of words starting with T = 5!/2! = 60
Number of words starting with U = 5!/2! = 60
So any word starting with S will have rank < 360 - 60(for Us) - 60(for Ts) = 240
Only option A < 240, so Answer is A.
Answer: A
Question: If each digit in the set A = {1, 2, 3, 4, 5, 6, 7} is used exactly once, in how many ways can the digits be arranged?
Options:
A)4830
B)5040
C)5250
D)5460
E)5680
Rationale: 7! = 5040
The answer is B.
Answer: B
Question: Which of the following is equal to the average (arithmetic mean) of (x+3)^2 and (x-3)^2?
Options:
A)x^2
B)x^2+2
C)x^2 +4
D)x^2+9
E)x^2+4x
Rationale: Avg = [(x+3)^2 + (x-3)^2] / 2
Expanding and simplifying, (x^2 + 6x + 9 + x^2 - 6x + 9 ) / 2 = x^2 + 9
Answer D.
Answer: D
Question: The probability of a team winning a match given Matt is playing the match is 0.60. The probability of the team winning a match given Matt is not playing the match is 0.5. The probability of Matt playing any match is 0.8.
If it is known that the team has won the last match, what is the probability that Matt played the match?
Options:
A)0.8321
B)0.7
C)0.8571
D)0.8275
E)0.8213
Rationale: Out of 100 matches:
Matt is plays in 80 and not plays in 20.
Out of 80 matches Matt plays in, team wins 0.60*80 = 48.
Out of 20 matches Matt does not play in, team wins 0.5*20 = 10.
So, out of 100 matches 48 + 10 = 58 are won.
It is known that the team has won the last match. Out of 58 matches won, Matt is in 48: 48/58 = 0.8275...
Answer: D.
Answer: D
Question: In what time will a railway train 20 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Options:
A)5 sec
B)4 sec
C)3 sec
D)6 sec
E)2 sec
Rationale: T = 20/36 * 18/5 = 2 sec
Answer: E
Answer: E
Question: 2,7,17,3,11,19,5,13,__
Options:
A)20
B)21
C)22
D)23
E)24
Rationale: 2=1st prime no.
3=2nd p.n.
5=3rd p.n.
7=4th p.n.
11=5th p.n.
13=6th p.n.
17=7th p.n.
19=8th p.n., and
23=9th p.n.
2,7,17=1st p.n., (1+3)th p.n., (1+3+3)th p.n.
3,11,19=2nd p.n., (2+3)th p.n., (2+3+3)th p.n.
5,13,23=3rd p.n., (3+3)th p.n., (3+3+3)th p.n.
ANSWER:D
Answer: D
Question: A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:4 and B:C = 2:5. If the total runs scored by all of them are 100, the runs scored by B are?
Options:
A)20.23
B)20.13
C)30.93
D)25
E)10.93
Rationale: A:B = 2:4
B:C = 2:5
A:B:C = 4:8:20
8/32 *100 = 25
ANSWER:D
Answer: D
Question: If a book is sold at 7% profit instead of 7% loss, it would have brought Rs 14 more. Find out the cost price of the book
Options:
A)75
B)100
C)60
D)70
E)80
Rationale: Let C.P. of the book be Rs. ’X’
Given, 1.07 X - 0.93X = 14
=> 0.14 X = 14 = 14/0.14 = Rs 100
ANSWER:B
Answer: B
Question: A sum of Rs. 125000 amounts to Rs. 15500 in 4 years at the rate of simple interest. What is the rate of interest?
Options:
A)3%
B)4%
C)5%
D)6%
E)7%
Rationale: S.I. = (15500 - 12500) = Rs. 3000\
Rate = (100 * 3000) / (12500 * 4) = 6%
ANSWER:D
Answer: D
Question: 96% of the population of a village is 23040. The total population of the village is?
Options:
A)22777
B)24000
C)27876
D)26676
E)28822
Rationale: X * (96/100) = 23040
X = 240 * 100
X = 24000
Answer:B
Answer: B
Question: The average of first 10 prime numbers is?
Options:
A)12.6
B)12.5
C)12.9
D)12.2
E)12.1
Rationale: Sum of 10 prime no. = 129
Average = 129/10 = 12.9.Answer: C
Answer: C
Question: Rahul can do a work in 3 days while Rajesh can do the same work in 2days. Both of them finish the work together and get $150. What is the share of Rahul?
Options:
A)$50
B)$40
C)$60
D)$100
E)$90
Rationale: Rahul's wages: Rajesh's wages = 1/3 : 1/2 = 2:3
Rahul's share = 150*2/5 = $60
Answer is C
Answer: C
Question: A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
Options:
A)10
B)20
C)5
D)4
E)6
Rationale: C = 1/2 - 1/4 - 1/5 = 1/20 => 20 days
ANSWER B
Answer: B
Question: If Y < X and XM < YM, what must be true?
Options:
A)M < X
B)M < Y.
C)X < 0.
D)M < 0
E)Y < 0
Rationale: X>Y, bus as soon as M is multiplied to both sides inequality sign changes.
This is only possible when -ve is multiplied on both sides. That means M is -ve
D is the answer
Answer: D
Question: 1.20 can be expressed in terms of percentage as
Options:
A)120%
B)0.120%
C)1.20%
D)0.209%
E)None of these
Rationale: Explanation:
While calculation in terms of percentage we need to multiply by 100, so
1.20 * 100 = 120
Answer: Option A
Answer: A
Question: At what rate percent on simple interest will a sum of money double itself in 70 years?
Options:
A)1 3/7%
B)3 1/9%
C)3 9/3%
D)3 2/3%
E)3 6/3%
Rationale: P = (P*70*R)/100
R = 1 3/7%
Answer: A
Answer: A
Question: When is |x-5| = 5-x?
Options:
A)x=5
B)x=0
C)x<=5
D)x>5
E)x< 0
Rationale: When is |x-5| = 5-x?
Choice A: X=5, it is true but X cannot be always 5
Choice B: X=0, it is also true, but X cannot be always 0
Choice C: X>5, it is false, for e.g. X=6, then one side of equation is 2 and the other side is -2
Choice D: X<=5, this choice encapsulate Choice A, Choice B and for all other conditions and is true for above said equation. Hence the answer choice is C.
Answer: C
Question: A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 380 m long platform?
Options:
A)50
B)27
C)29
D)47
E)28
Rationale: Let the length of the train be x m.
When a train crosses an electric pole, the distance covered is its own length.
So, x = 12 * 36 * 5 /18 m = 120 m.
Time taken to cross the platform = (120 +380)/ 36 * 5/18
= 50 min.
Answer:A
Answer: A
Question: The radius of a circle is increased by 1%. Find how much % does its area increases?
Options:
A)2.71%
B)2.21%
C)8.01%
D)2.01%
E)4.01%
Rationale: r = 100 r = 101
r2 = 10000 r2 = 10201
10000 ---- 201
100 ---- ? => 2.01%
Answer:D
Answer: D
Question: The side of a cube is 8 m, Find the voiume?
Options:
A)515
B)509
C)502
D)508
E)512
Rationale: Cube Volume = a(power)3
a(power)3 = 8(power)3
= 512 m(power)3.
Answer is E.
Answer: E
Question: Marry has 3 trousers in cupboard. One of them is grey the 2nd blue and the 3rd brown. In his wardrobe he also has 4 shirts. One of them is grey and the other 3are white. He opens his cupboardin the dark and pick out one shirt trouser pair without examination the color. What is the likelihood that neither the shirt nor the trouser is grey?
Options:
A)1/2
B)2/3
C)3/5
D)5/7
E)5/8
Rationale: Probability that trouser is not grey = 2/3
Probability that shirt is not grey = 3/4
∴ Required probability = 2/3 x 3/4 = 1/2
A
Answer: A
Question: Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day. If r percent of the store’s revenues from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of newspaper A, which of the following expresses r in terms of p?
Options:
A)100p/(125 – p)
B)150p/(250 – p)
C)300p/(375 – p)
D)400p/(500 – p)
E)500p/(625 – p)
Rationale: News A) A= $1
(News B) B = $1.25 or $5/4
Total newspaper sold= x
No. of A Newspaper sold = p/100 *x is r% of total revenue
Total revenue: p/100*x*$1 + (100-p)/100*x*$5/4
Equation: px/100=r/100(px/100+(500/4-5p/4)x/100)
px/100=r/100(4px+500x-5px/400)
removing common terms as 100 and x out and keeping only r on RHS
p=r(500-p)/400 or r=400p/(500-p)..Answer..D
Answer: D
Question: A batsman scored 150 runs which included 5 boundaries and 10 sixes. What percent of his total score did he make by running between the wickets?
Options:
A)45%
B)46.67%
C)600/11
D)55%
E)35%
Rationale: Explanation :
Number of runs made by running,
=>150−(5×4+10×6).
=>150−80
=>70
Hence, the required percentage is:-
=>70/150 *100
=>46.67%
Answer : B
Answer: B
Question: 10 people can write 55 book in 12 days working 8 hour a day.then in how many day 198 can be written by 48 people?
Options:
A)9
B)13
C)21
D)24
E)23
Rationale: work per day epr hour per person= 55/(12*8*10) // eq-1
people=48; let suppose day=p; per day work for 8 hours
acc. to condition
work per day epr hour per person= 198/(p*8*48) // eq-2
eq-1==eq-2;
p= 9
ANSWER:A
Answer: A
Question: The number N is 5,2H4, where H represents the ten's digit. If N is divisible by 9, what is the value of H?
Options:
A)1
B)3
C)5
D)7
E)9
Rationale: If the number is divisible by 9, it must also be divisible by 3. Only 7 yields such a number.
Answer: D
Answer: D
Question: A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
Options:
A)2882
B)279
C)287
D)860
E)279
Rationale: CP = SP + 1CP = SP - g
800 + x = 980 - 2x
3x = 180 => x = 60
CP = 800 + 60 = 860
Answer: D
Answer: D
Question: If
BAT = 58
HAT = 52
CAT = 57
then
whats RAT = ?
Options:
A)42
B)45
C)34
D)76
E)25
Rationale: A
42
Answer: A
Question: The Number of students learning Three subjects are as follows
Maths = 40
English = 50
Science = 35
If the Number of students learning exactly two subjects is maximum and no student learns all the three subjects, then what is the minimum number of students learning exactly one subject?
Options:
A)0
B)1
C)25
D)35
E)45
Rationale: Let's assume the following :
a = Only Math
b = both Math and English
c = Only english
d = English and Science
e = Only Science
f = Math and Science
g = All three ( = 0 )
Now, to make the Only subjects (a+c+e) minimum, we need to maximize the both subject (b+d+f)
Since, we have minimum no. of students in science, we can consider Only Science(e) = 0 and Both(English and Science & Math and Science) = d+f = 35
also, we have a+b+f = 40 --(1)
and , b+c+d = 50 --(2)
Adding (1) and (2),
a+2b+c+f+d = 90;
or a+2b+c = 55
Now, we have to maximize b and minimize a and c,
if a+c = 0 ==> 2b =55 -- Not possible.
If a+c =1 ==> 2b = 54 => b=27, Possible.
So, we can say a+c+e = 1(Minimum value),
Hence B.
Answer: B
Question: If m and n are positive integers, and m=2n and k=7m, then -
Options:
A)k is a factor of m/2.
B)2m is a factor of k.
C)3m is a factor of k/2.
D)k is a factor of m.
E)m/2 is a factor of k.
Rationale: m=2n --> m is even.
k=7m --> m is factor of k, thus m/2 = integer must also be a factor of k.
Answer: E.
Answer: E
Question: If a is an integer greater than 6 but less than 17 and b is an integer greater than 3 but less than 29, what is the range of a/b?
Options:
A)15/4
B)13/2
C)9/7
D)1/5
E)7/6
Rationale: The way to approach this problem is 6<a<17 and 3<b<29
Minimum possible value of a is 7 and maximum is 16
Minimum possible value of b is 4 and maximum is 28
Range = max a/min b - min a/max b
(Highest - lowest)
16/4 - 7/28 = 15/4
Hence A
Answer: A
Question: The positive value of x that satisfies the equation (1 + 2x)^5 = (1 + 3x)^3 is between
Bunuel, can you please explain this one?
Options:
A)0 and 0.5
B)0.5 and 1
C)1 and 1.5
D)1.5 and 2
E)2 and 2.5
Rationale: Trial and error would probably be the easiest way to solve this problem. When x is large enough positive number, then because of the exponents (5>4), LHS will be more than RHS (as you increase the positive value of x the distance between the values of LHS and RHS will increase).
Try x=1 --> LHS=3^5=81*3=243 and RHS=4^4=64*4=256, so (1 + 2x)^5 < (1 + 3x)^4. As you can see LHS is still slightly less than than RHS. So, the value of x for which (1 + 2x)^5 = (1 + 3x)^4 is slightly more than 1.
Answer: D.
Answer: D
Question: Diana is painting statues. She has 1/2 of a gallon of paint remaining. Each statue requires 1/4 gallon of paint. How many statues can she paint?
Options:
A)2
B)20
C)28
D)14
E)19
Rationale: number of statues=all the paint÷amount used per statue
=1/2 ÷ 1/4
=1/2*4/1
=2
Answer is A
Answer: A
Question: 80% of 5/8 =
Options:
A)0.2
B)0.5
C)0.6
D)0.75
E)1.0
Rationale: Should be simple.
0.8*5/8 = 4/8 = 1/2 = 0.5
Correct Option : B
Answer: B
Question: A boy owes his Dad $50 which he can clear by washing the dishes. His father clears $2 every time he washes the dishes. If his son misses a day, the clearing balance value reduces by 50%. If his son washes the dishes for two weeks starting from Monday to Sunday, but forgets to wash on Monday of the second week. How much money does the boy still have to pay after two weeks?
Options:
A)20
B)28
C)14
D)30
E)15
Rationale: Week one is $2*7 days=$14
Clearing balance reduces to 0.50*$2= $1.
Week two is $1*6 days= $6
Total balance left to pay after two weeks is $50-($14+$6)= $30.
Answer is D
Answer: D
Question: total 22 matches are conducted in Knockout match type. How many players will be participated in that tournament?
Options:
A)24
B)26
C)21
D)20
E)19
Rationale: 21 players
ANSWER:C
Answer: C
Question: In how many ways can the letters of word ABDUCTION be arranged such that NO two vowels appear together?
Options:
A)9!
B)5!*4!
C)4!*5!
D)5!*4!*2!
E)6!*4!
Rationale: No 2 vowels together = the only arrangement possible will be C V C V C V C V C (with V=vowel, C=consonant). This is true as we have 4 vowels and 5 consonants and any other combination will force us to pair 2 vowels together.
Thus, the number of arrangements possible : 5 *4 *4 *3 *3 *2 *2*1 = 4!*5! ----> C is the correct answer.
Answer: C
Question: There are 36 people in a party. If everyone is to shake hands with one another, how many hand shakes are possible?
Options:
A)435
B)367
C)630
D)597
E)561
Rationale: Explanation:
Total number of persons = n = 36
Shake hands involve only 2 persons = r = 2
Number of shake hands = nCr = 36C2
36C2 = (36 * 35) /(2 * 1) = 630
ANSWER:C
Answer: C
Question: A bat is bought for Rs.400 and sold at a gain of 15% find its selling price?
Options:
A)s.460/-
B)s.480/-
C)s.500/-
D)s.520/-
E)s.540/-
Rationale: 100 % ------> 400 (100 * 4 = 400)
115 % ------> 460 (120 * 4 = 460)
Selling price = Rs.460/-
Option 'A'
Answer: A
Question: If 17^4*13^4*9^4*8^4 = x, what is the units digit of x ?
Options:
A)8
B)3
C)6
D)7
E)9
Rationale: 17^4*13^4*9^4*8^4 = x
Units digit of x will be
7^4 * 3^4 * 9^4*8^4
=1 * 1 * 1 * 6
=6
Therefore , units digit of x = 6
Answer C
Answer: C
Question: If A:B is 2:3 and B:C is 3:4 then A:C is equal to
Options:
A)2:3
B)6:7
C)5:6
D)1:2
E)3:4
Rationale: Since A:B = 2:3 and B:C = 3:4,
We can deduce that A:B:C = 2:3:4
So, A:C = 2:4 = 1:2.
D is the correct answer.
Answer: D
Question: The average age of 17 persons in a office is 15 years. Out of these, the average age of 5 of them is 14 years and that of the other 9 persons is 16 years. The age of the 15th person is?
Options:
A)39
B)41
C)45
D)42
E)50
Rationale: Age of the 15th student = 17*15 - (14*5+16*9) = 255-214 = 41 years
Answer is B
Answer: B
Question: A particular parking garage is increasing its rates by 10 percent per month. Bob decides to reduce the number of days he uses the garage per month so that the amount he spends at the garage per month remains unchanged. Which of the following is closest to Bob’s percentage reduction in the number of days he uses the garage each month?
Options:
A)8%
B)9%
C)10%
D)11%
E)12%
Rationale: Let x be the original number of days that Bob used the garage.
Let P be the original cost per day.
Let N*x be the new number of days that Bob uses the garage.
N*x*1.1P = x*P
N*x = x/1.1 which is about 0.91x, thus a 9% reduction.
The answer is B.
Answer: B
Question: Pablo plays 3 rounds of a game, in which his chances of winning each round are 1/3, 1/4, and 1/n, respectively. If n ≠ 0, what is the probability that Pablo wins the first two rounds, but loses the third?
Options:
A)1/9n
B)(n-1)/12n
C)1/6n
D)(n+2)/3n
E)(3n-2)/2n
Rationale: 1/3 * 1/4 * (1-1/n)
= 1/12 * (n-1)/n
= (n-1)/12n
Answer - B
Answer: B
Question: A merchant gets a 5% discount on each meter of fabric he buys after the first 2,000 meters and a 7% discount on every meter after the next 1,500 meters. The price, before discount, of one meter of fabric is $2, what is the total amount of money the merchant spends on 6,500 meters of fabric?
Options:
A)$11,320
B)$12,430
C)$13,540
D)$14,650
E)$15,760
Rationale: For first 2000 meters he does not get any discount.
The price is 2*2000 = $4000
For next 1500 meters, he gets a 5% discount.
The price is 1.9*1500 = $2850
For the next 1500 meters, he gets a 7% discount.
The price is 1.86*3000 = $5580
The total price is $4000 + $2850 + $5580 = $12,430
The answer is B.
Answer: B
Question: If an article with marked price of $420 is sold at successive discount of 10%,25% and 15%,what is the price the customer has to pay?
Options:
A)360
B)247
C)239
D)268
E)290
Rationale: discount=0.9*.75*.85=.57
so .57*420=230
ANSWER:C
Answer: C
Question: If any amount is distributed among A ,B and C so that the part of A is doubled that of the part of B and part of b is 5 time the part of C .Find the ratio among their parts.
Options:
A)10:5:1
B)1:4:1
C)8:4:1
D)2:4:1
E)4:3:2
Rationale: By the assumptions as mentioned we have A=2B and B=5C. So A=2(5C) and we get A=10C. We have, therefore, A:B:C = 10C:5C:C. By cancelling the ratio with C we have 10:5:1. The answer is, therefore, A.
Answer: A
Question: If y is an integer, then the least possible value of |23 - 4y| is
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: We know that 4y is a multiple of 4, so let’s first look at the multiples of 4 closest to 23. We have “20” and “24”. Let’s subtract both of these from 23 and see which one produces the smallest result. When 4y = 20, y is 5 and when 4y = 24, y is 5. Let’s start with letting y = 4.
|23-4(5)|
|23-20|
|3| = 3
Next, let’s let y equal 5.
|23-4(6)|
|23-24|
|-1| = 1
We see that the smallest possible value of |23-4y| is 1.
Answer A.
Answer: A
Question: The diagonals of a rhombus are 30 cm and 20 cm. Find its area?
Options:
A)176
B)190
C)150
D)278
E)300
Rationale: 1/2 * 30 * 20
= 300
Answer:E
Answer: E
Question: Trapezoid JKLM in the x-y plane has coordinates J = (–2, –4), K = (–2, 2), L = (6, 8), and M = (6, –4). What is its perimeter?
Options:
A) 34
B) 36
C) 38
D) 40
E)(F) 42
Rationale: JK = 6
LM = 12
KL =using distance formula 10
JM = using distance formula 8
Sum of all is 36
B
Answer: B
Question: An escalator moves towards the top level at the rate of 12 ft.sec and its length is 150 feet. If a person walks on the moving escalator at the rate of 3 feet per second towards the top level, how much time does he take to cover the entire length.
Options:
A)10sec
B)20sec
C)15sec
D)16sec
E)14sec
Rationale: Explanation :
Time taken to cover the entire length = tot.dist/resultant speed = 150/ (12+3) = 10sec
Answer : A
Answer: A
Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is?
Options:
A)1/5
B)1/10
C)1/11
D)3/10
E)1/2
Rationale: 10 books can be rearranged in 10! ways consider the two books taken as a pair then number of favourable ways of getting these two books together is 9! 2!
Required probability = 1/5
A)
Answer: A
Question: A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Options:
A)20
B)99
C)88
D)77
E)66
Rationale: 1: 2/5 = 5: 2
2/7 * 70 = 20
Answer: B
Answer: B
Question: In a certain Parallelogram the degree measure of one angle exceeds that of the other by 40 what is the degree measure of the smaller angle?
Options:
A)70
B)80
C)85
D)90
E)95
Rationale: In a parallelogram opposite angles are equal and the angles at each side are supplementary to each other (supplementary angles are two angles that add up to 180°).
Given: x+(x+40)=180 --> x=70.
Answer: A.
Answer: A
Question: Five drainage pipes, each draining water from a pool at the same constant rate, together can drain a certain pool in 12 days. How many additional pipes R, each draining water at the same constant rate, will be needed to drain the pool in 4 days?
Options:
A) 6
B) 9
C) 10
D) 12
E) 15
Rationale: This is an inverse proportional problem......
5 pipes in 12 days; So for 4 days, it will be = 12 x 5 / 4 = 15
So, R=15-5 = 10.C
Answer: C
Question: The difference between a 7 digit number and the number formed by reversing its digit is not a multiple of
Options:
A)121
B)11
C)9
D)10
E)3
Rationale: Another approach is to TEST a number.
Let's say the original number is 1231231
So, the REVERSED number is 1321321
The DIFFERENCE = 1321321-1231231 =90090
No check the answer choices
90090 is a multiple of 3,9,10,11
121 is NOT a multiple of 90090
Answer:A
Answer: A
Question: A canoe has two oars, left and right. Each oar either works or breaks. The failure or non-failure of each oar is independent of the failure or non-failure of the other. You can still row the canoe with one oar. The probability that the left oar works is 3/5. The probability that the right oar works is also 3/5. What is the probability J that you can still row the canoe?
Options:
A)9/25
B)10/25
C)6/10
D)2/3
E)21/25
Rationale: Simply look at the question from the other side. What is the probability that you can’t row the canoe? This would be 2/5 x 2/5 = 4/25.
Using the idea that the probability J of something happening is 1 – the probability that it doesn’t happen, you can use the following equation to reach the right answer: 1 – 4/25 = 21/25.Answer choice E.
Answer: E
Question: The unit digit in the product (115 * 297 * 196 * 108) is:
Options:
A)2
B)7
C)6
D)0
E)8
Rationale: Explanation:
Unit digit in the given product = Unit Digit in (5*7*6*8) = 0
ANSWER: D
Answer: D
Question: Two numbers A and B are such that the sum of 5% of A and 2% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
Options:
A)2 : 1
B)1 : 2
C)4 : 3
D)10 : 3
E)3 : 2
Rationale: Explanation:
5% of A + 2% of B = 2/3(6% of A + 8% of B)
5A/100 + 2B/100 = 2/3(6A/100+8B/100)
⇒5A + 2B = 2/3(6A + 8B)
⇒15A + 6B = 12A + 16B
⇒ 3A = 10B
⇒ AB = 10/3
⇒ A:B=10:3
Answer: Option D
Answer: D
Question: Source: Knewton
A cyclist's speed varies, depending on the terrain, between 5.0 miles per hour and 14.0 miles per hour, inclusive. What is the maximum distance, in miles, that the cyclist could travel in 7 hours?
Options:
A) 42
B) 56
C) 70
D) 98
E) 140
Rationale: We are told that:generallya cyclist's speed varies, depending on the terrain, between 5.0 miles per hour and 14.0 miles per hour, inclusive. Is it possible the cyclist to travel with maximum speed for some time? Why not, if there is right terrain for that. So, if there is long enough terrain for the maximum speed of 14 mph then the maximum distance, in miles, that the cyclist could travel in 7 hours would be 7*14=98 miles.
Answer: D.
Answer: D
Question: In an examination, 35% candidates failed in one subject and 43% failed in another subject while 15% failed in both the subjects. If 2500 candidates appeared at the end of the examination how many passed in either subject but not in both?
Options:
A)975
B)1020
C)1175
D)1200
E)1525
Rationale: Failed in 1st subject = 35*2500/100 = 875
Failed in 2nd subject = 43*2500/100 = 1075
Failed in both = 15*2500/100 = 375
Failed in 1st subject only = 875-375 = 500
Failed in 2nd subject only = 1075-375 = 700
Passed in either subject but not in both = 700+500 = 1200
Answer is D
Answer: D
Question: A and B starts a business with Rs.8000 each, and after 8 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
Options:
A)18:11
B)18:13
C)23:12
D)11:9
E)11:10
Rationale: A invests Rs.8000 for 18 months, but B invests Rs.8000 for the first 8 months and then withdraws Rs.4000. So, the investment of B for remaining 10 months is Rs.4000 only.
A : B
8000*18 : (8000*8) + (4000*10)
144000 : 104000
A:B = 18:13
ANSWER:B
Answer: B
Question: In a kilometer race, A beats B by 50 meters or 20 seconds. What time does A take to complete the race?
Options:
A)380 sec
B)190 sec
C)726 sec
D)127 sec
E)128 sec
Rationale: Time taken by B run 1000 meters
= (1000 * 20)/50 = 400 sec.
Time taken by A = 400 - 20
= 380 sec.
Answer: A
Answer: A
Question: A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
Options:
A)76 sec
B)89 sec
C)16 sec
D)14 sec
E)19 sec
Rationale: Speed = 240/24 = 10 m/sec.
Required time = (240 + 650)/10 = 89 sec.
Answer:B
Answer: B