divelab/Sys2Bench huggingface dataset:
Question: A and B complete a work in 4 days. A alone can do it in 6 days. If both together can do the work in how many days?
Options:
A)3.75 days
B)3.7 days
C)3.6 days
D)2.4 days
E)5.75 days
Rationale: 1/4+ 1/6 = 5/12
12/5 = 2.4 days
Answer:D
Answer: D
Question: The ratio of the present age of Viju to that of Aju is 7:2. Four years from now, the ratio of the ages of Viju to Aju will be 5:2. What was Viju age 6 years ago ? (RBI Assistant 2015)
Options:
A)24
B)18
C)12
D)15
E)13
Rationale: Let the present age of Viju be 7x years and that of Aju be 2x years.
Then, 4 years from now
7x + 4 / 2x + 4 = 5 / 2
or 4x = 12
or x = 3
Viju present age = 7 * 3 = 21 years
Viju age 6 years ago = 21 - 6 = 15 years
answer :D
Answer: D
Question: How many prime numbers are between 25/3 and 84/6?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: 25/3 = 8.xxx
84/6 = 14.xxx
So we need to find Prime numbers between 8 (Exclusive) - 13 (Inclusive)
There are 2 Prime numbers 1113
Hence answer will be (B) 2
B
Answer: B
Question: Two tables are purchased for the total cost of Rs. 5000. First table is sold at 40% profit and second at 40% loss. If selling price is same for both the tables, what is the cost price of the table that was sold at profit?
Options:
A)Rs. 1500.
B)Rs. 2500.
C)Rs. 3500.
D)Rs. 4500.
E)Rs. 5500.
Rationale: Ans: 140% of cost price of first table = 60% of cost price of second table.
Therefore, Cost price of first table : Cost price of second table
= 60 : 140 = 3 : 7
Therefore, Cost price of first table = 3/10× 5000 = Rs. 1500.
Answer A
Answer: A
Question: The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 21. What is the last numbers?
Options:
A)2
B)4
C)9
D)5
E)7
Rationale: A + B + C = 48
B + C + D = 45
A + D = 21
A – D = 3
A + D = 21
2D = 18
D = 9
ANSWER C
Answer: C
Question: Broke’s only source of income comes from his job as a question writer. In this capacity, Broke earns a flat salary of $200 per week plus a fee of $9 for every question that he writes. Every year, Broke takes exactly two weeks of unpaid vacation to visit his uncle, a monk in Tibet, and get inspired for the next year. If a regular year consists of 52 weeks and the number of questions that Broke wrote in each of the past 5 years was an odd number greater than 20, which of the following could be Broke’s median annual income over the past 5 years?
Options:
A)$22,474
B)$25,673
C)$27,318
D)$28,477
E)$31,227
Rationale: Okay u just need less than one min to answer this question. any odd number greater than 20 means that that last digit must be 1,3,5,7, or 9. 9$ per week for every question. So (odd)(odd) will give odd digit. A and C out. (50 weeks) (200) = 10,000. subtract this amount from option B, D and E and u will find that only option D is divisible by 9 (once 10,000 is subtracted from 28477) so its the right choice..D.
Answer: D
Question: From a pack of 52 cards, 1 card is drawn at random. What is the probability that a jack, queen, or king is drawn?
Options:
A)1/4
B)1/12
C)2/13
D)3/13
E)3/26
Rationale: The total number of cards is 52.
The number of jacks, queens, or kings is 12.
P(jack, queen, king) = 12/52 = 3/13
The answer is D.
Answer: D
Question: At a dinner party, 5 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)120
Rationale: If it were a line/column combination/permutation problem, the solution would be : 5! = 120.
However it is a circular combination/permutation problem, the solution would be: 5!/5 = 24 because you need to keep 1 person static. For that, lets say A cannot move from his place and next to him you can put 4 people. Then 3, then 2 and 1. So the no. of ways 5 people can be seated around a circular table is 4! = 24.
ANS:C
Answer: C
Question: 3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 15 pumps work to empty the tank in 1 day?
Options:
A)3.5
B)4.8
C)5.1
D)5.2
E)6.3
Rationale: 3 pumps take 16 hrs total (8 Hrs a day)
If 1 pump will be working then, it will need 16*3=48 hrs
1 pump need 48 Hrs
If I contribute 15 pumps then
48/15=3.5 hrs.
answer :A
Answer: A
Question: Out of four consonants and three vowels, how many words can be made so that each word contains two consonants and three vowels?
Options:
A)480
B)540
C)600
D)720
E)900
Rationale: 4C2 x 3C3 x 5! = 720
The answer is D.
Answer: D
Question: Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1120?
Options:
A)1000
B)3889
C)8908
D)3780
E)2709
Rationale: 1120 = P [1 + (5*12/5)/100]
P= 1000
Answer: A
Answer: A
Question: The average marks of a class of 40 students is 44 and that of another class of 45 students is 70. Find the average marks of all the students?
Options:
A)52.6
B)52.4
C)52.1
D)69.5
E)52.9
Rationale: Sum of the marks for the class of 40 students = 40 * 44 = 1760
Sum of the marks for the class of 45 students = 45 * 70 = 3150
Sum of the marks for the class of 85 students =
2760 + 3150 = 5910
Average marks of all the students = 5910/85 = 69.5.Answer: D
Answer: D
Question: Of the families in City X in 1956, 25 percent owned a personal computer. The number of families in City X owning a computer in 1960 was 15 percent greater than it was in 1956, and the total number of families in City X was 5 percent greater in 1956 than it was in 1960. what percent of the families in City X owned a personal computer in 1960?
Options:
A)50%
B)51.22%
C)5.26%
D)7.20%
E)27.38%
Rationale: Say a 100 families existed in 1956 then the number of families owning a computer in 1956 - 25
Number of families owning computer in 1960 = 25 * 115/100 = 28.75
Number of families in 1960 = 105
The percentage = 28.75/105 * 100 = 27.38%.
Option: E
Answer: E
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 8 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is :
Options:
A)22
B)21
C)88
D)37
E)24
Rationale: Explanation:
Lot the total number of workers be v Then,
8OOOv = (12000 * 8) + 6000 (v - 8) <=> 2000v = 48000 <=> v = 24
Answer: E) 24
Answer: E
Question: The average age of 28 students in a group is 16 years. When teacherâ€™s age is included to it, the average increases by one. What is the teacherâ€™s age in years?
Options:
A)45
B)36
C)41
D)51
E)48
Rationale: Sol.
Age of the teacher = ( 29 Ã— 17 â€“ 28 Ã— 16 ) years = 45 years.
Answer A
Answer: A
Question: Find the area of a triangle whose sides measure 13 cm, 14 cm and 15 cm.
Options:
A)72
B)21
C)84
D)53
E)18
Rationale: Sol. Let a = 13, b = 14 and c = 15. Then, S = (1/2)(a + b + c) = 21.
(s- a) = 8, (s - b) = 7 and (s - c) = 6.
Area = (s(s- a) (s - b)(s - c)^(1/2) = (21 *8 * 7*6)^(1/2) = 84 cm^2.
Ans: C
Answer: C
Question: In what ratio should a variety of rice costing Rs. 6 per kg be mixed with another variety of rice costing Rs. 8.75 per kg to obtain a mixture costing Rs. 7.50 per kg?
Options:
A)1/68
B)62/89
C)12/68
D)11/84
E)5/6
Rationale: Explanation:
Let us say the ratio of the quantities of cheaper and dearer varieties = x : y
By the rule of allegation, x/y = (87.5 - 7.50) / (7.50 - 6) = 5/6
Answer:E
Answer: E
Question: The average age of the district level hockey team of eleven is 22 years.The average age gets no change when the coach age is also included.what is the age of the coach ?
Options:
A)22 yrs.
B)23 yrs.
C)25 yrs.
D)24 yrs.
E)21 yrs.
Rationale: Explanation:
Total age of players in team = 22 x 11 = 242
When coach is included, total members = 12, Avg age is 22
Total age when coach is included = 22x12 = 264
Age of coach = 264-242 = 22 yrs.
Answer: A
Answer: A
Question: Sneh's age is 1/6 th of her father's age. Sneh's father's age will be twice of Vimal's age after 10 years. If Vimal's eighth birthday was celebrated two years before, then what is Sneh's present age?
Options:
A)10 years
B)25 years
C)35 years
D)None of these
E)Cannot be determined
Rationale: Solution
Vimal's age after 10 years	= (8+2+10)years
= 20 years.
Sneh's father age after 10 years	= 40 years
Sneh's father Present age	= 30 years
Therefore Sneh's age	= (1/6 x 30)years
= 5 years.
Answer D
Answer: D
Question: The wages earned by Robin is 44% more than that earned by Erica. The wages earned by Charles is 60% more than that earned by Erica. How much % is the wages earned by Charles more than that earned by Robin?
Options:
A)23%
B)18.75%
C)30%
D)30.55%
E)100%
Rationale: Explanatory Answer
Let the wages earned by Erica be $100
Then, wages earned by Robin and Charles will be $144 and $160 respectively.
Charles earns $44 more than Robin who earns $144.
Therefore, Charles' wage is 44/144*100 = 30.55%.
The correct choice is (D)
Answer: D
Question: Tom was asked how old he was. He replied "In 2 years I will be twice as old as I was five years ago.' How old is he ?
Options:
A)11
B)13
C)12
D)15
E)17
Rationale: C
12
If Tom's age is X years
X+2=2(X-5)
X+2=2X-10
X=12
Answer: C
Question: The simple interest and the true discount on a certain sum for a given time and at a given rate are Rs. 85 and Rs. 80 respectively.The Sum is :
Options:
A)Rs. 1800
B)Rs. 1450
C)Rs. 1360
D)Rs. 6800
E)None
Rationale: Solution
Sum = S.I xT.D/ ( S.I) - ( T.D)= 85 x80/85 - 80=Rs.1360.
Answer C
Answer: C
Question: Thirty percent of the members of a swim club have passed the lifesaving test. Among the members who have not passed the test, 12 have taken the preparatory course and 30 have not taken the course. How many members are there in the swim club?
Options:
A)60
B)80
C)100
D)120
E)140
Rationale: 30% of the members have passed the test, thus 70% have not passed the test.
We also know that 30+12=42 members have not passed the test, thus 0.7*Total=42 --> Total=60.
Answer: A.
Answer: A
Question: Consider two statements
Statement 1 => If T is an integer and T=2p+1 where p is not an integer.
Statement 2 => If Y is an integer and Y=2q where q is not an integer
Which of the following correctly specifies the Even/Odd nature of T and Y respectively
Options:
A)1) Odd,Even
B)2) Odd,Odd
C)3) Even,Odd
D)4) Even,Even
E)5) Cannot be determined
Rationale: answer will be E
T = integer
T = 2p+1 = integer here p can be any n/2 and n can be even or odd , matters alot 2 get cancelled out
if n were even T would odd
if n odd T would be even
ANSWER IS E
Answer: E
Question: The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 36. Find their present ages.
Options:
A)20, 28
B)21, 27
C)35, 45
D)35, 55
E)of these
Rationale: Let their present ages be 4x, 7x and 9x years respectively.
Then, (4x - 8) + (7x - 8) + (9x - 8) = 36
20x = 60 => x = 3
Their present ages are 12, 21 and 27 years respectively.
ANSWER:B
Answer: B
Question: In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.42, the number of 25 paisa coins is?
Options:
A)31
B)42
C)62
D)72
E)71
Rationale: 5x 6x 2x
50 25 100
250x + 150x + 200x = 4200
600x = 4200
x = 7 => 6x = 42
Answer:B
Answer: B
Question: A meal cost $ 35.50 adn there was no tax. If the tip was more than 5 pc but less than 8pc of the price, then the total amount paid should be:
Options:
A)40-42
B)39-41
C)38-40
D)37-38
E)36-37
Rationale: 5%(35.5) = 1.775
8%(35.5) = 2.84
total amount could have been 35.5+1.775 and 35.5+2.84
=> could have been between 37.275 and 38.34
=> approximately between 37 and 38
Answer is B.D
Answer: D
Question: A box has exactly 100 balls, and each ball is either red, blue, or white. If the box has 12 more blue balls than white balls, and six times as many red balls as blue balls, how many white balls does The box has ?
Options:
A)8
B)10
C)2
D)14
E)16
Rationale: x = the number of red balls
y = the number of blue balls
z = the number of white balls
From the first sentence we have
Equation #1: x + y + z = 100
...the box has 12 more blue balls than white balls...
Equation #2: y = 12 + z
...thrice as many red balls as blue balls...
Equation #3: x = 6y
Solve equation #2 for z: z = y - 12
Now, we can replace both x and z with y in Equation #1
6y + y + (y - 12) = 100
8y - 12 = 100
5y = 112
y = 14
There are 14 blue balls. This is 12 more than the number of white balls, so z = 2. That's the answer. Just as a check, x = 84, and 84 + 14 + 2 = 100.
Answer = 2,(C)
Answer: C
Question: The dimensions of a field are 16.5 m by 10 m. A pit 10 m long, 5.5 m wide and 4 m deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field. What will be the rise in the height of field as a result of this operation ?
Options:
A)2 m
B)3 m
C)1 m
D)2.5 m
E)3.5 m
Rationale: The volume of the earth removed is 10*5.5*4 = 220 m^3.
The remaining area of the field is 16.5*10 - 10*5.5 = 110 m^2.
220 m^3 of the earth evenly spread over the area of 110 m^2 will rise the height by (height) = (volume)/(area) = 220/110 = 2 m.
Answer: A
Answer: A
Question: By weight, liquid X makes up 0.8 percent of solution A and 1.8 percent of solution B. If 500 grams of solution A are mixed with 700 grams of solution B, then liquid X accounts for what percent of the weight of the resulting solution?
Options:
A)1.66%
B)1.96%
C)10%
D)15%
E)19%
Rationale: I think there is a typo in question.
It should have been "By weight Liquid 'X ' makes up..... "
Weight of Liquid X = 0.8 % of Weight of A + 1.8% of Weight of B
When 500gms of A and 700gms of B is mixed :
Weight of Liquid X = (0.8 * 500)/100 + (1.8* 700)/100 = 16.6gms
% of Liquid X in resultant mixture = (16.6/1000) *100 = 1.66%
A
Answer: A
Question: What is the remainder when 17^200 is divided by 18 ?
Options:
A)3
B)1
C)2
D)4
E)7
Rationale: (17^200 - 1^200) is completely divisible by (17 + 1) as 200 is even.
=> (17^200 - 1) is completely divisible by 18.
Hence, when 17^200 is divided by 18, we will get 1 as remainder.
Answer is B
Answer: B
Question: Josh spends a total of $5.5 buying W items in the convenience store. If each of the items is either a 5 cents single bubblegum, or a 50 cents bubblegum pack, then W may be which of the following?
Options:
A)99
B)100
C)101
D)112
E)113
Rationale: W items in the convenience store$5.5 = 550 cents
550 = 50a + 5b
=>110 = 10a + b
b = 110 - 10a = 10(11-a)
Hence b is even and multiple of 10.
Possible values of b:
b = 10,20,30,40,50,60,70,80,90,100
a = 11,9,8,7,6,5,4,3,2,1
The total (a+b) is 21,29,38,47,56,65,74,83,92,101
The only option is 101. Hence C.
Answer: C
Question: 18800 / 470 / 20
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: Explanation:
18800 / 470 / 20 = (18800 / 470) / 20 = 40 / 20 = 2
Answer: B
Answer: B
Question: The three sides of an acute angled triangle (all in cms) are 12, 19 and x. How many integer values can x take?
Options:
A)23
B)22
C)15
D)8
E)7
Rationale: In acute angle triangles all angles in the triangle should be less than 90.
The maximum length of x can be when it is the hypotenuse of the triangle.
So, x= sqrt(12^2 + 19^2) = 22.5 (approx)
The maximum length of x can be when side of length 12 is the hypotenuse of the triangle.
So, x = sqrt (19^2 - 12^2) = 14.7 (approx)
So, x>14.7 and x<22.5.
Hence, possible values for x can be 15,16,17,18,19,20,21 and 22. Total 8 values.
Answer D.
Answer: D
Question: A firm has 3 senior partners and 6 junior partners. How many different groups of 3 partners can be formed in which at least one member of the group is a senior partner? (Note that two groups are considered different if at least one group member is different.)
Options:
A)64
B)68
C)72
D)76
E)80
Rationale: The number of ways to form a group of 3 is 9C3 = 84
The number of groups with no senior partner is 6C3 = 20
The number of groups with at least one senior partner is 84-20 = 64
The answer is A.
Answer: A
Question: If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 5:7 then find the largest number?
Options:
A)34
B)38
C)40
D)42
E)44
Rationale: 2:3
2x + 10 : 3x + 10 = 5 : 7
7[2x + 10] = 5[3x + 10]
14x + 70 = 15x + 50
15x - 14x = 70 - 50
x = 20
Then the first number is = 2
2x = 40
Short cut method:
a:b = 2:3
c:d = 5:7
1.Cross multiplication with both ratios
a * d ~ b * c = 2 * 7 ~ 3 * 5 = 14 ~ 15 = 1
2. If 10 is added both the number means 10 * 5 = 50 and 10 * 7 = 70,
Then 50 ~ 70 = 20
===> 1 -----> 20
===> 2 -----> 40 (Answer is = 40)
C
Answer: C
Question: Which number is the odd one out?
321
265
143
234
567
890
Options:
A)321
B)142
C)653
D)845
E)658
Rationale: A
321
In the rest there is the same difference between each digit, eg: 3 (Ã¢â‚¬â€œ1) 2 (Ã¢â‚¬â€œ1)1.
Answer: A
Question: If n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 350, what is the least possible value of n?
Options:
A)5
B)7
C)12
D)13
E)14
Rationale: 350 = 2 * 5 * 5 * 7
so the least value forNcan be 7.
B
Answer: B
Question: A Man can row upstream at 52kmph and downward stream at 12 kmph. Find Man's rate of the current
Options:
A)2.8km/hr
B)52km/hr
C)20km/hr
D)50km/hr
E)6.8km/hr
Rationale: Rate of the current=1/2(52-12)km/hr
=20km/hr
correct option is :C
Answer: C
Question: A shopkeeper buys two articles for Rs.1000 each and then sells them, making 20% profit on the first article and 20% loss on second article. Find the net profit or loss percent?
Options:
A)200
B)177
C)188
D)166
E)129
Rationale: Profit on first article = 20% of 1000
= 200.
Answer:A
Answer: A
Question: A retailer bought a machine at a wholesale price of $108 and later on sold it after a 10% discount of the retail price. If the retailer made a profit equivalent to 20% of the whole price, what is the retail price of the machine?
Options:
A)81
B)100
C)120
D)135
E)144
Rationale: My solution: Wholesale Price= 108
Retail Price, be = x
He provides 10 % discount on Retail price= x-10 x/100
This Retail price = 20 % profit on Wholesale price
x-10 x/100 = 108+ 1/5(108)
x=144;
ANSWER:E
Answer: E
Question: A certain office supply store stocks 2 sizes of self-stick notepads, each in 7 colors. The store packs the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?
Options:
A)6
B)8
C)16
D)84
E)92
Rationale: Notepads of the same color = 7 (we have 7 colors). As we have two sizes then total for the same color=7*2=14
Notepads of the different colors = 7C3=35 (we should choose 3 different colors out of 7). As we have two sizes then total for the different color=35*2=70
Total=70+14=84
Answer: D.
Answer: D
Question: Exactly 3/7 of the people in the room are under the age of 21, and exactly 5/11 of the people in the room are over the age of 65. If the total number of the people in the room is greater than 50 and less than 100, how many people in the room are under the age of 21?
Options:
A)21
B)35
C)33
D)60
E)65
Rationale: The total number of the people in the room must be a multiple of both 7 and 11 (in order 3/7 and 5/11 of the number to be an integer), thus the total number of the people must be a multiple of LCM of 7 and 11, which is 77.
Since, the total number of the people in the room is greater than 50 and less than 100, then there are 77 people in the room.
Therefore there are 3/7*77=33 people in the room under the age of 21.
Answer: C.
Answer: C
Question: In a game of billiards, A can give B 10 points in 50 and he can give C 40 points in 50. How many points can B give C in a game of 100?
Options:
A)18
B)27
C)25
D)75
E)17
Rationale: A scores 50 while B score 40 and C scores 10.
The number of points that C scores when B scores 100 = (100 * 10)/40 = 25
In a game of 100 points, B gives (100 - 25) = 75 points to C.
Answer: D
Answer: D
Question: At the start of an experiment, a certain population consisted of 3 animals. At the end of each month after the start of the experiment, the population size was double its size at the beginning of that month. Which of the following represents the population size at the end of 12 months?
Options:
A) 2^3
B) 3^2
C) 2(3^10)
D) 3(2^12)
E) 3(10^2)
Rationale: 3*2^n where n is the #of month --> 3*2^12 Answer (D)
Answer: D
Question: In a recent head-to-head run-off election, 18,000 absentee ballets were cast. 3/7 of the absentee ballets were thrown out and 2/9 of the remaining absentee ballets were cast for Candidate A. How many absentee votes did Candidate B receive?
Options:
A)2,000
B)3,000
C)6,000
D)8,000
E)9,000
Rationale: 4/7 * 7/9 (total absentee votes) = 4/9 (total votes)=4/9*18000=8000
Answer is D
Answer: D
Question: A marketing survey of Anytown found that the ratio of trucks to sedans to motorcycles was 3:7:2, respectively. Given that there are 9,100 sedans in Anytown, how many motorcycles are there?
Options:
A)1260
B)2600
C)3600
D)4200
E)5200
Rationale: Let the total number of trucks = 3x
total number of sedans = 7x
total number of motorcycles = 2x
total number of sedans = 9100
=> 7x = 9100
=> x = 1300
total number of motorcycles =2x = 2*1300
=2600
Answer B
Answer: B
Question: in a certain flower shop, which stocks four types of flowers, there are 1/4 as many violets as carnations, and 1/2 as many tulips as violets. If there are equal numbers of roses and tulips, what percent of the flowers in the shop are carnations?
Options:
A)60
B)62
C)66.66
D)64
E)68
Rationale: Given :-
Violets - C/4
Carnations - C
Tulip - C/8
Rose - C/8
Total flowers in terms of C = C/4+C+C/8+C/8 = 3/2 C
Percentage of Carnations = C/3C/2 *100 =66.66%
Answer C
Answer: C
Question: 7 liters of a 22 percent solution of alcohol in water are mixed with 3 liters of an 11 percent alcohol in water solution. What is the percentage of alcohol in the new solution?
Options:
A)17.5%
B)17.8%
C)18.1%
D)18.4%
E)18.7%
Rationale: The total amount of alcohol is 0.22(7) + 0.11(3) = 1.87 liters.
The percentage is 1.87 / 10 = 18.7 / 100 which is 18.7%
The answer is E.
Answer: E
Question: 60 men shake hands with each other. Maximum no of handshakes without cyclic handshakes.
Options:
A)190
B)200
C)210
D)1770
E)230
Rationale: 1st person will shake hand with 59 people
2nd person will shake hand with 58 people
3rd person will shake hand with 57 people
......
total no. of handshakes = 59+58+57+...+3+2+1 = 19*(19+1)/2 = 1770
or, if there are n persons then no. of shakehands = nC2 = 60C2 = 1770
ANSWER: D
Answer: D
Question: A zookeeper counted the heads of the animals in a zoo and found it to be 80. When he counted the legs of the animals he found it to be 260. If the zoo had either pigeons or horses, how many horses were there in the zoo?
Options:
A)30
B)40
C)50
D)60
E)70
Rationale: Explanation :
Let the number of horses =x
Then the number of pigeons =80−x.
Each pigeon has 2 legs and each horse has 4 legs.
Therefore, total number of legs =4x+2(80−x)=260.
=>4x+160−2x=260.
=>2x=100.
=>x=50.
Answer : C
Answer: C
Question: A motorcyclist X drives along a circular fence at a rate of 2 rounds per hour and another motor cyclist Y at a rate of 4 rounds per hour. After how long they will cross each other for the first time?
Options:
A)10 min
B)20 min
C)30 min
D)40 min
E)None of these
Rationale: Explanation :
Since X and Y move in the same direction they cross each other when there is a difference of two round between the two. Relative speed of X and Y=4-2=2.
Time taken to complete one round at this speed = 1/2 hour
= 30minutes
Answer : C
Answer: C
Question: A train is moving at 4/5 of its usual speed. The train is 45 minutes too late. What is the usual time (in hours) for the train to complete the journey?
Options:
A)1
B)1.5
C)2
D)2.5
E)3
Rationale: new time = d / (4v/5) = 5/4 * usual time
45 minutes represents 1/4 of the usual time.
The usual time is 4* 45 minutes = 3 hours.
The answer is E.
Answer: E