divelab/Sys2Bench huggingface dataset:
Question: Hulk is older than Pedro. Pedro is younger than Ozil and younger than Ronaldo. Ronaldo is older than Hulk and Nani, who are older than Ozil.If Nani and Hulk are twins, who's oldest?
Options:
A)Ronaldo
B)Pedro
C)Hulk
D)Ozil
E)Nani
Rationale: A
Ronaldo
Answer: A
Question: A certain stock exchange designates each stock with a 1, 2 or 3 letter code, where each letter is selected from the 26 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order, constitute a different code, how many diff stocks is it possible to designate with these codes?
Options:
A)2,951
B)8,125
C)15,600
D)16,302
E)18,278
Rationale: 1 letter code - 26 (or you can write 26C1)
2 letter code - 26*26=26^2 (or you can write 26C1*26C1=26^2)
3 letter code - 26*26*26=26^3 (or you can write 26C1*26C1*26C1=26^3)
(For 2 letter, for example, you have 26 choices per each letter, it's 26^2 and not 26C2 or 26P2.)
Total =26+26^2+26^3 =18,278
So the answer is E.
Answer: E
Question: 12 years ago, the age of Anand was one-third the age of Bala at that time. The present age of Bala is 12 years more than the present age of Anand. Find the present age of Anand?
Options:
A)13
B)14
C)15
D)16
E)18
Rationale: Let the present ages of Anand and Bala be 'a' and 'b' respectively.
a - 12 = 1/3 (b - 12) --- (1)
b = a + 12
Substituting b = a + 12 in first equation,
a - 12= 1/3 (a +0) => 3a - 36 = a
=> 2a = 36 => a = 18.
ANSWER:E
Answer: E
Question: A can do a piece of work in 30 days. He works at it for 5 days and then B finishes it in 20 days. In what time can A and B together it?
Options:
A)13 1/3 days
B)8 days
C)9 days
D)63 days
E)15 days
Rationale: Explanation:
5/30 + 20/x = 1
x = 24
1/30 + 1/24 = 3/40
40/3 = 13 1/3 days
Answer A
Answer: A
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 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)65
B)21
C)78
D)67
E)51
Rationale: Let the total number of workers be x. Then,
8000x = (12000 * 7) + 6000(x - 7)
= 2000x = 42000
= x = 21.
Answer: B
Answer: B
Question: Which of the following CANNOT be true if the sum of k consecutive integers is 0, where k ≥ 1 ?
I. The product of the k integers is positive
II. The smallest of the k integers is zero
III. The largest of the k integers is negative
Options:
A)I only
B)II only
C)III only
D)I and III
E)I, II and III
Rationale: for the sum of k consecutive integers to be 0 we have at least k=1 as 0
or if k=3 then 1,0,-1
1) product will be 0 every time......Not True
2)as stated earlier if k=1 as 0 then 0 is the highest as well lowest number.....Could be True
3) largest number can only be 0 if K=1 or any +ve integer if K>1--------->largest integer be -ve Never true.
Ans D
Answer: D
Question: In 2003, the number of girls attending Jefferson High School was equal to the number of boys. In 2004, the population of girls and the population of boys both increased by 20 percent. Which of the following could be the total student population at Jefferson High School in 2004?
Options:
A)4832
B)5034
C)5058
D)5076
E)5128
Rationale: What you forgot to consider here is that x and x/2, both, should be integers. This means, after you divide the option by 6 and get x (after multiplying by 5 which doesn't matter), it should again be divisible by 2. Hence, the option must be successively divisible by 6 and 2 i.e. it must be divisible by 12 i.e by 3 as well as 4.
We see that (C) and (D) are both divisible by 3. But only (D) is divisible by 4.
Answer (D)
Answer: D
Question: Two cyclists are moving towards each other at 10 miles/hour. They are now 50 miles apart. At this instance a fly starts from one cyclist and move towards other and moves to and fro till the two cyclist meet each other. If the fly is moving at 15 miles/hour, what is the total distance covered by the fly?
Options:
A)37.5 miles
B)38.5 miles
C)39.5 miles
D)36.5 miles
E)35.5 miles
Rationale: time taken by cyclists to meet = 50/20 2.5 hrs
distance covered by fly during 2.5 hrs = 15*2.5 = 37.5 miles
ANSWER:A
Answer: A
Question: P can lay railway track between two stations in 16 days. Q can do the same job in 12 days. With the help of R, they completes the job in 4 days. How much days does it take for R alone to complete the work?
Options:
A)8(3/5) Days
B)9(3/5) Days
C)7(3/5) Days
D)6(3/5) Days
E)5(3/5) Days
Rationale: Amount of work P can do in 1 day = 1/16
Amount of work Q can do in 1 day = 1/12
Amount of work P, Q and R can together do in 1 day = 1/4
Amount of work R can do in 1 day = 1/4 - (1/16 + 1/12) = 3/16 – 1/12 = 5/48
=> Hence R can do the job on 48/5 days = 9 (3/5) days
Answer is B.
Answer: B
Question: How many different 7 digit numbers can be formed from the number 3589463 by re-arranging its digits so that the odd digits occupy even position
Options:
A)1
B)5
C)9
D)72
E)34
Rationale: There are 4 odd numbers which have to be placed at 4 even places =4!/2!=12 ways
There are 3 even numbers which have to be placed at 3 odd places. So 3! = 6 ways
so total number of ways of arranging all these numbers are 12 * 6 = 72 ways
Answer:D
Answer: D
Question: During a certain two-week period, 60 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 4 times as many dramas as action movies. If no other movies were rented during that two-week period and there were A action movies rented, then how many comedies, in terms of A, were rented during that two-week period?
Options:
A)14
B)12
C)10
D)8
E)7.5
Rationale: Total movies = 100.
Comedies = 60.
Action + Drama = 40. Since there were 5 times as many dramas as action movies, then Action + 4*Action = 40 --> Action = A = 8.
Comedies = 60 = 7.5A.
Answer: E
Answer: E
Question: Find the probability that a leap year chosen at random will have 53 Sundays
Options:
A)2/7
B)2/6
C)2/5
D)2/3
E)2/4
Rationale: A leap year has 366 day which is 52 full weeks + 2 odd days. Now these two odd days may be (sun + mon), (mon + tue), .... (Sat + sun). Now there are total 7 ways. Of which Sunday appeared two times. So answer 2/7
Answer:A
Answer: A
Question: A jar contains only three types of objects: red, blue, and silver paper clips. The probability of selecting a red paper clip is 1/20, and the probability of selecting a blue paper clip is 1/10. What is the probability of selecting a silver paper clip?
Options:
A) 5/12
B) 1/20
C) 17/20
D) 3/4
E) 11/20
Rationale: Prob of Red = 1/20
Prob of Blue = 1/10
Prob of Silver = ?
P(Silver) = 1 - P(Red) - P(Blue) ==> 1-1/20-1/10 = 7/12
Ans: C
Answer: C
Question: How many positive integers between 20 and 2000(both are inclusive) are there such that they are multiples of 10?
Options:
A)201
B)193
C)200
D)199
E)195
Rationale: Multiples of 10 = 20,30,40-----,1990,2000
Number of multiples of 10 => 2000-20/10+1= 199
Answer is D
Answer: D
Question: 700 students took the test on English and Maths. 35% students failed in english and 45% failed in maths. 40% of those who passed in maths also passed in english, then how many students failed in both ?
Options:
A)a) 14
B)b) 138
C)c) 60
D)d) 38
E)e) 12
Rationale: Passed in english = 65%
Passed in maths = 55%
Passed in both = 40% of 55% = 2/5 * (55%) = 22%
Passed in (English + Maths - Both + Neither) = 100%
65 + 55 - 22 + Neither = 100
Neither = 100 - 98 = 2% = 0.02 * 700 = 14
Answer: A
Answer: A
Question: Bus X is 12 miles ahead of Bus Y, which is traveling the same direction along the same route as Bus X. If Bus X is traveling at an average speed of 41 miles per hour and Bus Y is traveling at an average speed of 57 miles per hour, how long will it take Bus Y to overtake and drive 4 miles ahead of Bus X?
Options:
A)2 hours
B)1 hour
C)2 hours 20 minutes
D)3 hours 45 minutes
E)5 hours
Rationale: Relative speed = 57-41 = 16 miles per hour
Dist required = 12+4 = 16 miles
Time taken to overtake = 16/16 = 1 hour. B is the answer.
Answer: B
Question: How many digits are in (8×10^12)(10×10^9)?
Options:
A)20
B)23
C)26
D)27
E)28
Rationale: The question simplfies to (8×10^12)(10^10)
=> 8*10^22
=> Will contain 22 zeros +1 digit 8
=>23
Ans B
Answer: B
Question: The divisor is 12, the quotient is 4 and the remainder is 1.
What is the dividend?
Options:
A)48
B)49
C)96
D)97
E)72
Rationale: D = d * Q + R
D = 12 * 4 + 1
D = 48 + 1
D = 49
Answer: B
Answer: B
Question: If a person walks at 5 km/hr instead of 4 km/hr, he would have walked 6 km more. The actual distance traveled by him is?
Options:
A)14
B)20
C)18
D)24
E)21
Rationale: Let the actual distance traveled be x km. Then,
x/4 = (x + 6)/5
x - 24=>x = 24km.
Answer: D
Answer: D
Question: During a certain two-week period, 50 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 9 times as many dramas as action movies. If no other movies were rented during that two-week period and there were A action movies rented, then how many comedies, in terms of A, were rented during that two-week period?
Options:
A)5 A
B)10 A
C)20 A
D)25 A
E)28 A
Rationale: Movies: 50 % comedies. 50 % remaining genre.
Now in this 50 %, there are only 2 categories. Action movies and Drama Movies.
If Action = x; Drama movies = 9x. Total 10x.
10x = 50; x = 5
Action movies: 5 %
Drama movies: 45 %
we can say that out of 100z,:
comedies: 50z
action: 5z
drama: 45 z
Now action movies were A
This means:
A = 5z.
z = (A/5)
Comedies: 50z = 50 * (A/5)
10 A
B is the answer.
Answer: B
Question: Two trains travelling in the same direction at 80 and 26 kmph completely pass off another in 1 minute. If the length of the first train is 400 m, what is the length of the second train?
Options:
A)500
B)266
C)175
D)99
E)171
Rationale: RS = 80 â€“ 26 = 54 * 5/18 = 15 mps
T = 60 sec
D = 15 * 60 = 900 m
400
--------
500 m
Answer: A
Answer: A
Question: Each night before he goes to bed, Jordan likes to pick out an outfit to wear the next day. He has 13 different shirts, 10 different pairs of jeans, and 8 pairs of sneakers. If an outfit consists of 1 shirt, 1 pair of jeans, and 1 pair of sneakers, how many different outfits does Jordan have?
Options:
A)300
B)900
C)1040
D)480
E)960
Rationale: Total # of outfits = 13 * 10 * 8 = 1040
Answer - C
Answer: C
Question: A certain car averages 25 miles per gallon when driving in the city and 40 miles per gallon when driving on the highway. According to these rates, which of the following is closest to the number of miles per gallon that the car averages when it is driven 10 miles in the city and then 45 miles on the highway?
Options:
A)28
B)30
C)36
D)35
E)38
Rationale: Answer C
No of Miles per Gallon = Total no of miles/Total no of Gallons
=10+45/(10/25+45/40) ~ 36.06
Answer: C
Question: In a test comprising 50 questions, a student attempts all questions. For every correct answer the student is awarded 1 mark. She will get negative marks for incorrect answers as per the following rule.
1. 0.25 negative mark for each of the first 10 incorrect answer.
2. 0.5 negative mark for each incorrect answer, from the 11th to the 20th.
3. 0.75 negative mark for each incorrect answer, from the 21st.
What is the minimum number of questions that the student should get right to get a non-negative score?
Options:
A)17
B)18
C)21
D)22
E)23
Rationale: If 21 answers are correct, the student will score = 21*1 = 21
-(10*0.25 + 10*0.5+9*0.75)=-14.25
This huge difference between Right and Wrong shows that C cant be the answer. Based on this we can also eliminate D and E.
Hence its between A and B.
Let plug in A.
17*1 = 17
-(2.5 + 5 + 13*0.75) = -17.25
Result Negative. Hence A can't be the answer and its B.
Answer: B
Question: The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 800 per sq.metre.
Options:
A)Rs. 15,000
B)Rs. 15,500
C)Rs. 15,600
D)Rs. 16,500
E)None
Rationale: Solution
Area of the floor	= (5.5 x 3.75)m²
= 20.635m ²
Cost of paying	= Rs. (800 x 20.625)
= Rs.16500.
Answer D
Answer: D
Question: 20 binders can bind 1400 books in 21 days. How many binders will be required to bind 1600 books in 20 days?
Options:
A)24
B)18
C)17
D)16
E)10
Rationale: Binders Books Days
20 1400 21
x 1600 20
x/20 = (1600/1400) * (21/20) => x = 24
Answer:A
Answer: A
Question: The average age of A, B and C is 28 years. If the average age of A and C is 29 years, what is the age of B in years ?
Options:
A)19
B)26
C)20
D)32
E)21
Rationale: Age of B = Age of (A + B + C) â€“ Age of (A + C) = 28 Ã— 3 â€“ 29 Ã— 2 = 84 â€“ 58 = 26 years
B
Answer: B
Question: In 70 liters of a mixture of milk and water ,the quantity of water is 10%. how much water should be added so that new mixture may 25% water.
Options:
A)14
B)15
C)16
D)17
E)18
Rationale: There are 10% of water in 70L --> there are 7L of waters;
After x liters of water is added amount of water becomes (7+x) liters, which on the other hand is 1/4th (25%) of new (70+x) liters of mixture: 7+x=1/4*(70+x) --> 28+4x=70+x --> x=14
ANSWER:A
Answer: A
Question: Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of oxygen are there in 162 grams of water?
Options:
A) 16
B) 72
C) 112
D) 128
E) 144
Rationale: Solution:
We are given that the ratio of hydrogen to oxygen in water, by mass, is 2 : 16. Using our ratio multiplier we can re-write this as 2x : 16x. We can now use these expressions to determine how much oxygen is in 162 grams of water.
2x + 16x = 162
18x = 162
x = 9
Since x is 9, we know that there are 16 x 9 = 144 grams of oxygen in 162 grams of water.
Answer E.
Answer: E
Question: A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:
Options:
A)720
B)900
C)1200
D)1800
E)1900
Rationale: 2(15 + 12) x h = 2(15 x 12)
h =	180/27m =20/3	m.
Volume =	15 x 12 x20 m3= 1200 m3.
ANSWER:C
Answer: C
Question: How many positive odd integers n less than 1000 have the property that the product of the
digits of n is 252 ?
Options:
A)0
B)1
C)3
D)4
E)5
Rationale: Since 252 = 2 *2 * 3* 3 *7, one of the digits is 7, the integer must have three digits, and the
remaining two digits are 6; 6, or 4; 9. There are five such odd integers: 667, 497, 947, 479, and
749.
correct answer E
Answer: E
Question: The cross-section of a cannel is a trapezium in shape. If the cannel is 10 m wide at the top and 6 m wide at the bottom and the area of cross-section is 640 sq m, the depth of cannel is?
Options:
A)28
B)77
C)99
D)80
E)21
Rationale: 1/2 * d (10 + 6) = 640
d = 80
Answer: D
Answer: D
Question: If a man can cover 12 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
A)12 km
B)162 km
C)6 km
D)87 km
E)15 km
Rationale: Explanation:
12 m/s = 12 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 12 * 18/5 * 15/4 km = 162 km.
B)
Answer: B
Question: Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
Options:
A)33
B)10
C)99
D)73
E)23
Rationale: 4/12 + x/15 = 1
x = 10
Answer: B
Answer: B
Question: Water is poured into a tank so that the tank is being filled at the rate of 4 cubic feet per hour. If the empty rectangular tank is 6 feet long, 4 feet wide, and 3 feet deep, approximately how many hours does it take to fill the tank?
Options:
A)16
B)18
C)20
D)22
E)24
Rationale: The volume the tank is: length*width*depth = 6*4*3= 72 cubic feet.
72 cubic feet / 4 cubic feet per hour = 18 hours.
It will take 18 hours to fill the tank.
The answer is B.
Answer: B
Question: The salary of a worker is first increased by 40% and afterwards reduced by 40%. What is the net change in the worker's salary?
Options:
A)8% decrease
B)8% increase
C)16% decrease
D)16% increase
E)no change
Rationale: Let x be the original salary.
The final salary is 0.6(1.4x) = 0.84x
The answer is C.
Answer: C
Question: In September, John sold 2323 more soap than in February. In November, he sold 5 percent more than in September. John's November sales were what percent greater than his February sales?
Options:
A)10/3%
B)65%
C)214/3 %
D)75%
E)514/3%
Rationale: Let february sale= x
september sale= x+2/3x= 5x/3
November sale= 5x+3 + 5*5/100*3x
21/12x= 1.75 x
Hence November sale is 75% > February sale
D is the answer
Answer: D
Question: Two sets A and B consists only of positive integers such that mean of set A is 45 . If set R consist of all the elements of both A and B such that mean of R is 80 then the mean of set B is =>
Options:
A)[A] 65
B)[B] 60
C)[C] 70
D)[D] 55
E)[E] cannot be determined
Rationale: For this question, we have zero information about the size of two sets, sets AB. These two sets may have the same size or may be wildly different. Thus, the answer is (E), the mathematical answer cannot be determined. This is a very weak math question. As someone who writes GMAT practice questions, I would give this a grade of anD-as a question.
Answer E
Answer: E
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Options:
A)29
B)378
C)20
D)27
E)121
Rationale: M = 15
S = 5
DS = 15 + 5 = 20
Answer: C
Answer: C
Question: At a special sale, 9 tickets can be purchased for the price of 6 tickets. If 9 tickets are purchased at the sale, the amount saved will be What percent of the original price of the 9 tickets?
Options:
A)20%
B)33.3%
C)40%
D)60%
E)66.6%
Rationale: let the price of a ticket be Rs.100, so 6 tickets cost 600 & 9 tickets cost 900
9 tickets purchased at price of 6 tickets ie., for 600, so amount saved s Rs.300,
% of 9 tickets = (300 /900)*100 =33.3 %
ANSWER:B
Answer: B
Question: In a group containing 6 cows and 4 buffalos, 4 livestock are to be selected in such a way that at least 1 cow should always be present. How many way of doing that are possible?
Options:
A)209
B)277
C)297
D)161
E)108
Rationale: ANSWER:A
Answer: A
Question: If 47. 2506 = 4*A + 7/B + 2*C + 5/D + 6*E, then the value of 5*A + 3*B + 6*C + D + 3*E is :
Options:
A)153.6002
B)153.6008
C)153.6003
D)153.6001
E)153.6022
Rationale: Explanation:
4*A + 7/B + 2*C + 5/D + 6*E =47.2506
=> 4 * A + 7/B + 2 *C + 5/D + 6*E = 40 + 7 + 0.2 + 0.05 + 0.0006
Comparing the terms on both sides, we get :
4*A =40, 7/B = 7, 2*C = 0.2, 5/D = 0.05, 6*E = 0.0006
A = 10,
B = 1,
C = 0.1,
D = 100,
E = 0.0001.
5*A + 3*B + 6*C + D + 3*E =(5*10) + (3*1) + (6*0.1) +100 +(3*0.0001)
=50 + 3 + 0.6 + 100 + 0.003 = 153.6003.
Answer: C) 153.6003
Answer: C
Question: Alex takes a loan of $5,000 to buy a used truck at the rate of 2 % simple Interest.Calculate the annual interest to be paid for the loan amount.
Options:
A)100
B)150
C)720
D)200
E)750
Rationale: From the details given in the problem Principle = P = $5,000 and R = 2% or 0.02 expressed as a decimal.
As the annual Interest is to be calculated, the time period T =1.
Plugging these values in the simple Interest formula,
I = P x T x R
= 5,000 x 1 x 0.02
= 100.00
Annual Interest to be paid = $100
answer :A
Answer: A
Question: A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
Options:
A)887 m
B)998 m
C)55 m
D)100 m
E)44 m
Rationale: A can give B (5 min - 4 1/2 min) = 30 sec start.
The distance covered by B in 5 min = 1000 m.
Distance covered in 30 sec = (1000 * 30)/300 = 100 m.
A can give B 100m start.
Answer:D
Answer: D
Question: A merchant marks goods up by 60% and then offers a discount on the marked price. The profit that the merchant makes after offering the discount is 20%. What % discount did the merchant offer?
Options:
A)20%
B)25%
C)30%
D)35%
E)40%
Rationale: Let P be the original price of the goods and let x be the rate after the markup.
(1.6P)*x = 1.2P
x = 1.2/1.6 = 0.75 which is a discount of 25%.
The answer is B.
Answer: B
Question: Find the one which does not belong to that group ?
Options:
A)41
B)43
C)53
D)47
E)57
Rationale: Explanation:
41, 43, 47 and 53 are prime numbers, but not 57.
ANSWER IS E
Answer: E
Question: The cubic f(x) = x3 +bx2 +cx+d satisfies f(1) = 3, f(2) = 6, and f(4) = 12. Compute f(3).
Options:
A)6
B)7
C)8
D)9
E)10
Rationale: Note that f(x) - 3x = (x - 1)(x- 2)(x - 4), so f(x) = (x - 1)(x - 2)(x- 4) + 3x
and therefore f(3) = 2 *1 *(-1) + 9 = 7 .
correct answer B
Answer: B
Question: A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 50 paisa. If the share of Y is RS. 54, what is the total amount?
Options:
A)234
B)116
C)117
D)118
E)119
Rationale: x:y:z = 100:45:50
20:9:10
9 --- 54
39 --- ? => 234
ANSWER:A
Answer: A
Question: The edge of a cube is 6a cm. Find its surface?
Options:
A)216a2
B)24a4
C)24a1
D)24a2
E)24a7
Rationale: 6a2 = 6 * 6a * 6a = 216a2
Answer:A
Answer: A
Question: The difference of the squares of two consecutive even integers is divisible by which of the following integers ?
Options:
A)5
B)18
C)7
D)45
E)4
Rationale: Explanation:
Let the two consecutive even integers be 2n and (2n + 2). Then,
(2n+2)^2 = (2n+2 2n)(2n 2-2n)
= 2(4n + 2)
=4(2n + 1), which is divisible by 4.
ANSWER:E
Answer: E
Question: 2, 7, 14, 23, ?, 47
Options:
A)31
B)28
C)34
D)33
E)32
Rationale: The given sequence is +5, +7, +9, ——
ie. 2+ 5 = 7, 7 + 7 = 14, 14 + 9 = 23
Missing Number = 23 + 11 = 34. ANSWER:C
Answer: C
Question: The average weight of a class of 24 students is 35 kg. If the weight of the teacher be included, the average rises by 400 g. The weight of the teacher is
Options:
A)45 kg
B)50 kg
C)53 kg
D)55 kg
E)NOne
Rationale: Sol.
Weight of the teacher
= (35.4 × 25 – 35 × 24)kg
= 45 kg.
Answer A
Answer: A
Question: If a certain sample of data has a mean of 20.0 and a standard deviation of 2.0, which of the following values is more than 2.5 standard deviations from the mean?
Options:
A) 13.5
B) 12.0
C) 17.0
D) 23.5
E) 26.5
Rationale: The standard deviation is 2.0. 2.5 standard deviations, which is just 2.5 x 2.0 is 5.0. The only answer more than 6.0 away from the mean is B.
Answer: B
Question: Henry answered 3/5 of the questions he was given for homework in the first hour, 5/19 of the remaining questions in the second hour and the remaining x questions in the third hour where x is an integer. How many questions was Henry given for homework?
Options:
A)x
B)(95/7)*x
C)(95/14)*x
D)(95/21)*x
E)(95/28)*x
Rationale: Let Q be the number of homework questions.
Q = 3Q/5 + (5/19)(2Q/5) + x
Q = 57Q/95 + 10Q/95 + x
28Q/95 = x
Q = (95/28)*x
The answer is E.
Answer: E
Question: a grazing land have length 200m and breadth 50m.there is grass 0.5kg/m2.
a cow graze 20kg grass daily.if cow graze for 20days.so after 20 days calculate the percentage of grass filled area.
Options:
A)90
B)92
C)95
D)85
E)80
Rationale: area of land=200*50=10000m2.
total grass grazed=400kg.
area grazed=400/0.5=800m2.
%of grass filled area=9200/10000*100=92%
answer B
Answer: B
Question: The product of three consecutive numbers is 120. Then the sum of the smallest two numbers is ?
Options:
A)9
B)15
C)20
D)38
E)56
Rationale: Product of three numbers = 120
120 = 2*2*5*6 = 4*5*6
So, the three numbers are 4,5 and 6.
And Sum of smallest of these two = 4 + 5 = 9.
ANSWER : OPTION A
Answer: A
Question: If a*b denotes the greatest common divisor of a and b, then ((16*20)*(18*24)) = ?
Options:
A) 24
B) 12
C) 6
D) 4
E) 2
Rationale: The greatest common divisor of 16 and 20 is 4. Hence 16*20 = 4 (note that * here denotes the function not multiplication).
The greatest common divisor of 18 and 24 is 6. Hence 18*24 = 6.
Hence ((16*20)*(18*24)) = 4*6.
The greatest common divisor of 4 and 6 is 2.
Answer; E.
Answer: E
Question: A money lender lent Rs. 800 at 3% per year and Rs. 1400 at 5% per year. The amount should be returned to him when the total interest comes to Rs. 350. Find the number of years.
Options:
A)3.5
B)3.72
C)4
D)4.25
E)4.5
Rationale: (800xtx3/100) + (1400xtx5/100) = 350 â†’ t =3.72 answer B
Answer: B