divelab/Sys2Bench huggingface dataset:
Question: Find the no.of ways of arranging the boy and 8 guests at a circular table so that the boy always sits in a particular seat?
Options:
A)2!
B)8!
C)9!
D)10!
E)15!
Rationale: Ans.(B)
Sol. Total number of persons = 9 Host can sit in a particular seat in one way. Now, remaining positions are defined relative to the host. Hence, the remaining can sit in 8 places in 8P8 = 8! Ways ... The number of required arrangements = 8! x 1= 8! = 8! ways
Answer: B
Question: A basketball player practices 2 hours a day Monday through Friday. How many hours must he practice Saturday and Sunday combined if he wants to practice an average (arithmetic mean) of 3 hours a day for the seven day week?
Options:
A)8
B)9
C)10
D)11
E)12
Rationale: Total number of hours practiced Mon through Fri: 5*2 = 10
Total number of hours that will be practiced in a 7 day week considering 3 hours a day average: 7*3 = 21
thus 21-10 = 11 hours still need to be practiced (on Sat and Sun combined)
D
Answer: D
Question: In how many ways can you walk up a stairway with 6 steps if you
can take one or two steps at a time? (For example, you can walk up
a stairway with 3 steps in three dierent ways: (i) Take three single
steps. (ii) Take one step and then two steps. (iii) Take two steps and
then one step.)
Options:
A)9
B)10
C)11
D)12
E)13
Rationale: Let fn denote the number of ways one can get to the nth step. Given the example
in the problem, we see then that f3 = 3. It is easy to see f1 = 1 and f2 = 2 (the latterfollows since one can take one step twice or two steps at a time to get to the second step).
To determine the value of fn for any n >/3, think about the previous step a person would
have to be on before getting to the nth step. Since only one or two steps are allowed at a
time, the person would have to be either on the (n-1)st step or the (n-2)nd step there are by definition fn-1 ways someone can get to the (n - 1)st step and fn􀀀-2 ways a
person can get to the (n - 2)nd step, there must be fn-1 + fn-2 ways of getting to the
nth step (by first going to the (n- 1)st step in one of fn-1 ways and then taking a single
step or by first going to the (n-2)nd step in one of fn-2 ways and then taking two steps
at once). In other words, fn = fn-1 +fn-2. This allows us to easily compute fn for n>/3
successively. Specifically,
f3 = f2 + f1 = 2+1 = 3 (as we knew); f4 = f3 + f2 = 3+2 = 5;
f5 = f4 +f3 = 5+3 = 8; and f6 = f5 + f4 = 8+5 = 13:
Therefore, the answer is 13.
correct answer is E
Answer: E
Question: Two numbers N and 24 have LCM = 48 and GCF = 8. Find N.
Options:
A)16
B)56
C)76
D)87
E)24
Rationale: The product of two integers is equal to the product of their LCM and GCF. Hence.
24* N = 48 * 8
N = 48*8 / 24 = 16 correct answer A
Answer: A
Question: Which of the options is a two-digit number, which has a unit's digit that exceeds its ten's digit by 3 and the product of the given number and the sum of its digits is equal to 175.
Options:
A)25
B)36
C)47
D)52
E)63
Rationale: Using the elimination method the option that fits this description is 25
5-2 = 3 (unit's digit that exceeds its ten's digit by 3)
25*7 = 175 (the product of the given number and the sum of its digits is equal to 175)
answer :A
Answer: A
Question: If a man walks at the rate of 5 kmph, he misses a train by 7 minutes. However, if he walks at the rate of 6 kmph, he reaches the station 5 minutes before the arrival of the train. Find the distance covered by him to reach the station.
Options:
A)6 km
B)8 km
C)5 km
D)3 km
E)2 km
Rationale: Let the required distance be x km
Difference in the time taken at two speeds=1 min =1/2 hr
Hence x/5-x/6=1/5<=>6x-5x=6
x=6
Hence, the required distance is 6 km
Ans: B
Answer: B
Question: Huey's Hip Pizza sells two sizes of square pizzas: a small pizza that measures 12 inches on a side and costs $10, and a large pizza that measures 18 inches on a side and costs $20. If two friends go to Huey's with $30 apiece, how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone?
Options:
A)5 square inches
B)36 square inches
C)15 square inches
D)25 square inches
E)350 square inches
Rationale: In the first case each can buy one pizza of $10 and one pizza of $20.
In square inches that would be (12*12=144) for the small pizza and (18*18=324) for the large pizza. In total sq inches that would be (144+324)*2= 936 sq inches.
In the second case if they pool their money together they can buy 3 large pizzas. In terms of square inches that would be 3*324= 972 sq inches.
Hence, the difference is 36 square inches more (972-936).
The correct answer is B
Answer: B
Question: A water tank is two-third full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?
Options:
A)6 min. to empty
B)6 min. to full
C)10 min. to empty
D)9 min. to full
E)8 min. to full
Rationale: Clearly, pipe B is faster than pipe A and so, the tank will be emptied.
Part to be emptied = 2/3
Part emptied by (A + B) in 1 minute = (1/6 - 1/10) = 1/15
1/15 : 2/3 :: 1 : x
x = (2/3 * 1 * 15) = 10 min.
So, the tank will be emptied in 10 min.
ANSWER:C
Answer: C
Question: What is the sum of all 3 digit positive integers that can be formed using the digits 1, 3, and 7, if the digits are allowed to repeat within a number?
Options:
A)8,434
B)9,656
C)10,989
D)11,323
E)12,878
Rationale: The number of these 3-digit numbers is 3*3*3 = 27
Each digit 1, 3, and 7 will appear in the ones, tens, and hundreds place 9 times each.
The sum equals 9(111) + 9(333) + 9(777) = 10,989
The answer is C.
Answer: C
Question: When 30 per cent of a number is added to another number the second number increases to its 140 per cent. What is the ratio between the first and the second number?
Options:
A)3 : 4
B)4 : 3
C)3 : 2
D)Data inadequate
E)None of these
Rationale: Let the first and the second numbers be x and y respect then
y + 30% of x = 140% of y
or, y + 0.3x = 1.4y
or, 0.3x = 0.4y
∴ x : y = 0.4 : 0.3 = 4 : 3
Answer B
Answer: B
Question: Given f(x) = 3x – 5, for what value of x does 2*[f(x)] – 1 = f(3x – 6)
Options:
A)0
B)4
C)6
D)7
E)13
Rationale: explanations
We have the function f(x) = 3x – 5, and we want to some sophisticated algebra with it. Let’s look at the two sides of the prompt equation separately. The left side says: 2*[f(x)] – 1 —- this is saying: take f(x), which is equal to its equation, and multiply that by 2 and then subtract 1.
2*[f(x)] – 1 = 2*(3x – 5) – 1 = 6x – 10 – 1 = 6x – 11
The right side says f(3x – 6) — this means, take the algebraic expression (3x – 6) and plug it into the function, as discussed above in the section “How a mathematician things about a function.” This algebraic expression, (3x – 6), must take the place of x on both sides of the function equation.
f(3x – 6)= 3*[3x – 6] – 5 = 9x – 18 – 5 = 9x – 23
Now, set those two equal and solve for x:
9x – 23 = 6x – 11
9x = 6x – 11 + 23
9x = 6x + 12
9x – 6x = 12
3x = 12
x = 4
Answer = B
Answer: B
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 1.4 km respectively. The time taken by the slower train to cross the faster train in seconds is?
Options:
A)65 sec
B)55 sec
C)48 sec
D)33 sec
E)60 sec
Rationale: Relative speed = 60 + 90 = 150 km/hr.
= 150 * 5/18 = 125/3 m/sec.
Distance covered = 1.10 + 1.4 = 2.5 km = 2500 m.
Required time = 2500 * 3/125
= 60 sec.
Answer:E
Answer: E
Question: Tickets numbered from 1 to 22 are mixed and then a ticket is selected randomly. What is the probability that the selected ticket bears a number which is a multiple of 3?
Options:
A)1/5
B)2/5
C)3/10
D)3/7
E)7/22
Rationale: Here, S = [1, 2, 3, 4, …., 19, 20, 21, 22]
Let E = event of getting a multiple of 3 = [3, 6, 9, 12, 15, 18, 21]
P (E) = n (E) / n (S) = 7 / 22
The answer is E.
Answer: E
Question: How many minutes does it take John to type z words if he types at the rate of x words per minute?
Options:
A)x/y
B)z/x
C)xy
D)60x/y
E)y/(60x)
Rationale: time*rate=job --> time*x=z --> time=z/x.
Answer: B.
Answer: B
Question: The true discount on Rs. 1760 due after a certain time at 12% per annum is Rs. 160. The time after which it is due is:
Options:
A)6 months
B)8 months
C)9 months
D)10 months
E)12 months
Rationale: TD=Amt*R*T/(100+RT)
given TD=160,Amt=1760,R=12,T=?
by substituting the values we get,
160=(1760*12T)/(100+12T)
160(100+12T)=1760*12T
100+12T=(1760*12T)/160
100+12T=132T
120T=100
t=100/120=5/6yrs i.e (5/6)*12=10months
ANSWER:D
Answer: D
Question: The average of first 20 even numbers is?
Options:
A)19
B)18
C)16
D)11
E)21
Rationale: Sum of 20 even numbers = 20 * 21 = 420
Average =420/20 = 21
Answer:E
Answer: E
Question: A palindrome is a word or a number that reads the same forward and backward. For example, 2442 and 111 are palindromes. If 5-digit palindromes are formed using one or more of the digits 1, 2, 3, 4, 5, 6, and 7, how many palindromes are possible?
Options:
A)35
B)49
C)105
D)255
E)343
Rationale: There are 7 choices for each of the first three digits.
The number of possible palindromes is 7^3=343.
The answer is E.
Answer: E
Question: 3,7,12,18,25,..............6th terms
Options:
A)43
B)53
C)63
D)33
E)78
Rationale: 3+4=7
7+5=12
12+6=18
18+7=25
25+8=33
ANSWER:D
Answer: D
Question: A sequence contains y numbers of alternating positive and negative numbers, If the first number is postive and y is an even number, how many negative numbers are in it?
Options:
A)(y+1)/2
B)(y-1)/2
C)y/(2+1)
D)y/(2-1)
E)y/2
Rationale: Lets put values for y, say y=8 since it's even
and first number is positive so sequence will be {pos,neg,pos,neg,pos,neg,pos,neg} we can see that it has 4 negative terms
so putting y=8 in the options,
option E = y/2 => 8/2 = 4 , the number of negative integers
So, E is the answer
Answer: E
Question: In how many ways 8 different tickets T can be distributed between Jane and Bill if each is to receive any even number of tickets and all 8 tickets to be distributed.
Options:
A)From 2 to 6 inclusive.
B)From 98 to 102 inclusive.
C)From 122 to 126 inclusive.
D)From 128 to 132 inclusive.
E)From 196 to 200 inclusive.
Rationale: Possibilities
J 8 6 4 2 0
B 0 2 4 6 8
# of ways 8C8 8C6 8C4 8C2 8C0
T=1+28+70+28+1 = 128 Answer is D.
Answer: D
Question: Company A has 13 employees, 8 of whom belong to the union. If 4 people work any one shift, and the union contract specifies that at least 4 union members work each shift, then how many different combinations of employees might work any given shift?
Options:
A)56
B)231
C)336
D)350
E)406
Rationale: Looks easy: -- 8C4*4C1 + 8C5 --350 (D).
Answer: D
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 844 in 4 years. The sum is:
Options:
A)s. 650
B)s. 690
C)s. 698
D)s. 728
E)s. 760
Rationale: S.I. for 1 year = Rs. (844 - 815) = Rs. 29.
S.I. for 3 years = Rs.(29 x 3) = Rs. 87.
Principal = Rs. (815 - 87) = Rs. 728.
Answer: Option D
Answer: D
Question: The Italian size of a suit jacket is N centimeters, where N is the linear distance between the armpits when the jacket is laid on a flat surface. The American size of a suit jacket is P inches, where P is twice the linear distance between the armpits when the jacket is laid on a flat surface. If, for a particular jacket, N = P + 12, which of the following is closest to the value of N? (One inch is approximately 2.54 centimeters.)
Options:
A)36
B)47
C)58
D)55
E)72
Rationale: Since one inch is approximately 2.54 centimeters, then N centimeters is N/2.54 inches.
Next, since the American size (P inches) is twice the Italian size (N/2.54 inches), then P=2*N/2.54.
As given that N = P + 12, then N=2*N/2.54+12 --> N=~55.
Answer: D.
Answer: D
Question: John draws a card from a pack of cards. What is the probability that the card drawn is a card of black suit?
Options:
A)1/2
B)1/4
C)1/3
D)1/13
E)1/15
Rationale: Tot no of cards n(S) = 52
Tot no of black cards = 26
=>26/52=1/2
ANSWER A
Answer: A
Question: A father is now three times as old as his son. Six years back, he was four times as old as his son. The age of the son (in years) is
Options:
A)A)12
B)B)15
C)C)19
D)D)20
E)E)22
Rationale: Explanation:
Let son's age be x years. Then, father's age = (3x) years.
Six years ago, father's age = (3x -6 ) years and son's age = (x - 6) years.
So, 3x - 6 = 4 (x - 6)=> 3x - 5 = 4x - 24=> x = 19.
Answer: C
Answer: C
Question: If a car travels a distance of y km, at the speed of x km/hr , which of the following cannot be equal to the distance traveled?
Options:
A)y/x km
B)x/2 km
C)(x-y)/2 km
D)x-y km
E)y-x km
Rationale: This question can be solved by TESTing VALUES, but there's a particular pattern that you have to recognize to make the workeasy.
We're not really limited by anything in this question, so X and Y can be anything. Under normal circumstances, I won't TEST the number 1 in PS questions (as it often leads to duplicate answers), but here it's a great option (since we're looking to eliminate 4 answers, multiple TESTs are going to be likely anyway).
We're given information on speed (X km/hour) and distance (Y km). We're asked which of the 5 answer choices CANNOT be the distance traveled.
IF....
X = 2 and Y = 1
Answers D (2-1 = 1) and B (2/2 = 1) are POSSIBLE. Eliminate D and B.
IF....
X = 3 and Y = 1
Answer C ([3-1]/2 = 1) is POSSIBLE. Eliminate C.
IF....
X = 1 and Y = 1
Answer A (1/1 = 1) is POSSIBLE. Eliminate A.
Final Answer:
E
Answer: E
Question: In Arun's opinion, his weight is greater than 65 kg but less than 72 kg. His brother doest not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arun?
Options:
A)67 kg.
B)68 kg.
C)69 kg.
D)Data inadequate
E)None of these
Rationale: Explanation:
Let Arun's weight by X kg.
According to Arun, 65 < X < 72
According to Arun's brother, 60 < X < 70.
According to Arun's mother, X <= 68
The values satisfying all the above conditions are 66, 67 and 68.
req average = (66 + 67 + 68) / 3 = 67 kg
Answer: A
Answer: A
Question: 7^1+7^2+7^3+...........+7^2015 find out how many numbers present which unit place contain 3 ?
Options:
A)504
B)505
C)506
D)507
E)508
Rationale: 7^3,7^7,7^11,7^15,7^19.........7^2015 contains last digit=3.
Now,we see
3,7,11,15....2015 are in AP
tn=a+(n-1)d
2015=3+(n-1)4
2015=3+4n-4
4n=2016
n=504
ANSWER:A
Answer: A
Question: Each of the cucumbers in 100 pounds of cucumbers is composed of 99% water, by weight. After some of the water evaporates, the cucumbers are now 93% water by weight. What is the new weight of the cucumbers, in pounds?
Options:
A)2
B)15
C)92
D)96
E)98
Rationale: Out of 100 pounds 99% or 99 pounds is water and 1 pound is non-water. After somewaterevaporates the cucumbers become 93% water and 7% of non-water, so now 1 pound of non-water composes 7% of cucucmbers, which means that the new weight of cucumbers is 1/0.07=15 pounds.
Answer: B.
Answer: B
Question: If each digit in the set of A = {1,2,3,4,5,6,7,8,9} is exactly used once, in how many ways can the digits be arranged such that the 2 and 5 are not adjacent?
Options:
A)9! - 8!
B)8!
C)9!
D)7*8!
E)9! / 2!
Rationale: The answer should be the (total arrangements) - (arrangements when 2 and 5 are adjacent).
The number of ways to arrange 9 units is 9!
If we think of 2 and 5 as one single unit, the number of arrangements is 8!
Note that 2 and 5 can have two arrangements, so we multiply by 2 to get 2*8!
The total number of valid arrangements is 9! - 2*8! = 9*8! - 2*8! = 7*8!
The answer is D.
Answer: D
Question: The 8 spokes of a custom circular bicycle wheel radiate from the central axle of the wheel and are arranged such that the sectors formed by adjacent spokes all have different central angles, which constitute an arithmetic series of numbers (that is, the difference between any angle and the next largest angle is constant). If the largest sector has a central angle of 76.5°, what fraction of the wheel’s area is represented by the smallest sector?
Options:
A)3/80
B)2/35
C)2/25
D)1/20
E)1/15
Rationale: The largest angle is 76.5.
Let d be the difference between any two angles in the progression.
The sum of all the angles will be:
76.5 + (76.5-d) + (76.5-2d) + ... + (76.5-7d) = 612 - 28d
The sum of all the central angles in a circle = 360
612 - 28d = 360
d = 252/28 = 9
The smallest sector is (76.5-7d) = 76.5-7*9 = 13.5
13.5/360 = 27/720 = 3/80
The answer is A.
Answer: A
Question: The volumes of three containers are in the ratio 4 : 5 : 6. If the sum of the volumes of the largest and the smallest container is is 20litres more than the weight of the third container, what is the volume of the smallest container?
Options:
A)11litres
B)19litres
C)15litres
D)16litres
E)None of these
Rationale: Let the volumes of the three containers be 4k, 5k and 6k respectively.
4k + 6k = 5k + 20
=> 5k = 20 => k = 4
Therefore the weight of the lightest boy
= 4k = 4(4) = 16 litres.
ANSWER:D
Answer: D
Question: A merchant sells an item at a 20% discount, but still makes a gross profit of 20 percent of the cost. What percent of the cost would the gross profit on the item have been if it had been sold without the discount?
Options:
A)20%
B)40%
C)50%
D)60%
E)75%
Rationale: Soln:-
original SP = X
Cost =C
current selling price = .8x ( 20% discount)
.8x = 1.2C (20% profit)
x= 1.2/.8 *C
x= 3/2 C
Original selling price is 1.5C which is 50% profit
ANSWER:C
Answer: C
Question: In the list 1, 2, 3, 4, 5, 5, 5, 5, 7, 11, 21, what fraction of the data is less than the mode?
Options:
A)2/9
B)1/3
C)2/5
D)4/11
E)7/9
Rationale: Mode: The mode of any set is the term which has the highest frequency (Occurrence)
Highest frequent term in the set is 5 (with frequency 4) hence
Mode = 5
four terms (1, 2, 3, 4) out of a total of 11 terms are less than mode of the set.
Fraction of set that are less than Mode of set = 4/11
Answer: Option D
Answer: D
Question: Find the odd man out.
36, 60, 6, 18, 72, 25, 48
Options:
A)60
B)72
C)6
D)36
E)25
Rationale: Explanation:
Each of the numbers except 25 is a divisible by 6.
Answer: E) 25
Answer: E
Question: If 4 less than x is 4 greater than y, then a number z that is 5 greater than x reduced by y is equal to
Options:
A)4
B)13
C)14
D)y + 9
E)y + 14
Rationale: 13 it is....nice one....
B
Answer: B
Question: A train of length 240 m crosses a bridge of length 150m in 20 seconds. What is the speed of train?
Options:
A)33
B)27
C)25
D)70.2
E)72
Rationale: Sol : (length of train+ length of bridge) = speed of train x Time
(240+150) = 20 x Speed
Speed = 390/20= 19.5 m/s =70.2 km/h
ANSWER=D
Answer: D
Question: At Annie's party, there were five times as many females as males. There were three times as many adults as children. Which of the following could NOT be the number of people at the party?
Options:
A)384
B)258
C)216
D)120
E)72
Rationale: we have to work on the info and understand what that info takes us to...
1) there were five times as many females as males At Annie's party..
this means F=5M.. so total number=6M..
2) There were three times as many adults as children..
A=3C...
or total = 4C..
so the total is 4C or 6M..
since C and M have to be positive integers, we can say for sure that Total is a multiple of 4 and 6..
or Total is multiple of LCM of 4,6..
LCM of 4,6= 12..
lets see which number is not multiple of 12..
A. 384...12*32
B. 258... no
C. 216....12*18
D. 120....12*10
E. 72......12*6..
so B is our answer..
Answer: B
Question: Income and expenditure of a person are in the ratio 8 : 7. If the income of the person is Rs. 40000, then find his savings?
Options:
A)5000
B)6000
C)7000
D)8000
E)9000
Rationale: Let the income and the expenditure of the person be Rs. 8x and Rs. 7x respectively.
Income, 8x = 40000
=> x = 5000
Savings = Income - expenditure
= 8x - 7x = x
So, savings =Rs.5000.
Answer: A
Answer: A
Question: A man can hit a target once in 4 shots. If he fires 4 shots in succession, what is the probability that he will hit his target?
Options:
A)81/256
B)15/256
C)75/256
D)175/256
E)95/256
Rationale: The man will hit the target if he hits it once or twice or thrice or all four times in the four shots that he takes.
So, the only possibility when the man will not hit the target is when he fails to hit the target in even one of the four shots that he takes.
The event of not hitting the target even once is the complement of the event of hitting the target at least once.
The probability that he will not hit the target in any given shot = 1 – 1/4 = ¾
Therefore, the probability that he will not hit the target in any of the four shots =3/4*3/4*3/4*3/4=81/256
The probability that he will hit the target at least in one of the four shots=1-81/256
=175/256
ANSWER D 175/256
Answer: D
Question: A student has to obtain 33% of the total marks to pass. He got 59 marks and failed by 40 marks. The maximum marks are?
Options:
A)450
B)300
C)500
D)610
E)175
Rationale: Let the maximum marks be x
Then, 33% of x = 59+40
33x/100 = 99
x = 300
Answer is B
Answer: B
Question: A and B together can do a piece of work in 6 days and A alone can do it in 10 days. In how many days can B alone can do it?
Options:
A)12 days
B)18 days
C)15 days
D)21 days
E)22 days
Rationale: Explanation:
A and B can do work 1/6 in 1 day
A alone can do 1/10 work in 1 day
B alone can do (1/6 -1/10) =1/15 work in 1 day
=> complete work can be done in 15 days by B
Answer: Option C
Answer: C
Question: If (0.2)x = 2 and log 2 = 0.3010, then Find the value of x to the nearest tenth.
Options:
A)-0.4
B)-0.2
C)-0.6
D)0.4
E)0.6
Rationale: (0.2)x = 2.
Taking log on both sides
log (0.2)x = log 2.
x log (0.2) = 0.3010, [since log 2 = 0.3010].
x log (2/10) = 0.3010.
x [log 2 - log 10] = 0.3010.
x [log 2 - 1] = 0.3010,[since log 10=1].
x [0.3010 -1] = 0.3010, [since log 2 = 0.3010].
x[-0.699] = 0.3010.
x = 0.3010/-0.699.
x = -0.4306….
x = -0.4 (nearest tenth)
Answer is A.
Answer: A
Question: 51 + 52 + 53 + .........+100) is equal to
Options:
A)3775
B)3779
C)3629
D)3729
E)3719
Rationale: 51 + 52 + 53 + ...........+ 100
= (1 + 2 + 3 + .... + 100) - (! + 2 + 3 + ...... + 50)
=
= (5050 - 1275) = 3775
Answer;A
Answer: A
Question: Different breeds of dogs get older at different rates in “dog years.” Livonian wolfhounds age 7 times as fast as humans, whereas Khazarian terriers age 5 times as fast and Akkadian retrievers age 4 times as fast. If Dan bought a newborn Akkadian on January 1, 2011, a newborn Khazarian 1 year later, and a newborn Livonian 1 year after that, in what year will the sum of the dog-year ages of the Akkadian and the Khazarian first be exceeded by twice the age of the Livonian in dog years, rounding all ages down to the nearest integer?
Options:
A)2013
B)2014
C)2015
D)2017
E)2016
Rationale: chart starting at 2013:
A+K=13
L=0.
Then I added 9 to a+k for each year and 14 to L for each year.
2014:AK=22 L=14
2015:AK=31 L=28
2016:AK=40 L=42
thus, 2016 is the correct answer. => E
Answer: E
Question: A train 150 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)49
B)59
C)12
D)13
E)67
Rationale: Speed of the train relative to man = (150/10) m/sec = (15) m/sec. [(15) * (18/5)] km/hr = 54 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5 = 54 ==> x = 59 km/hr.
Answer: Option B
Answer: B
Question: Cook can divide his herd into 5 equal parts and also to 6 equal parts, but not to 9 equal parts. What could be the number of cows Cook has in his herd?
Options:
A)336
B)180
C)120
D)456
E)155
Rationale: On first look A, D,E are not divisible either by 5 or 6 - ruled out.
C,B divisible by both 5,6, but 180 is divisible by 9.
Answer : C
Answer: C
Question: Divide Rs. 3250 among A, B and C so that A receives 1/5 as much as B and C together and B receives 2/3 as A and C together. B's share is?
Options:
A)6500
B)3250
C)1100
D)1300
E)1200
Rationale: A+B+C = 3250
A = 1/5(B+C); B = 2/3(A+C)
B/(A+C) = 2/3
B = 1/5 * 6500 => 1300
Answer: D
Answer: D
Question: A9B, D100F, H361K,then find next ?
Options:
A)M784P
B)M900Q
C)N841Q
D)N756P
E)L884P
Rationale: By giving the number to alphabets, we get
A + B = 1+2 = 3 --> 3^2 = 9
D + F = 4+6 = 10 --> 10^2 = 100
H + K = 8+11= 19 -->19^2 = 361
: :
: :
M + Q = 13+17=30 --->30^2 = 900
ANSWER:B
Answer: B