divelab/Sys2Bench huggingface dataset:
Question: In a certain pet shop, the ratio of dogs to cats to bunnies in stock is 7 : 7 : 8. If the shop carries 330 dogs and bunnies total in stock, how many dogs are there?
Options:
A)42
B)66
C)98
D)112
E)154
Rationale: Let us assume the number of dogs, cats and bunnies to be 7x, 7x and 8x
Total dogs and bunnies = 15x.
And we are given that 15x = 330.
Hence x = 22.
Dogs = 7x = 7*22 = 154 (Option E)
Answer: E
Question: During a sale, the price of a pair of shoes is marked down 14% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?
Options:
A)9%
B)10%
C)11%
D)16%
E)90%
Rationale: Assume the price = 100
Price during sale = 86
Price after sale = 100
Percent increase = 14/86*100 = 16% approx.
Correct Option: D
Answer: D
Question: A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.85 less, he could have gained 25%. What is the cost price?
Options:
A)372
B)375
C)278
D)425
E)288
Rationale: CP1 = 100 SP1 = 120
CP2 = 80 SP2 = 80 * (125/100) = 100
20 ----- 100
85 ----- ? => 425
Answer:D
Answer: D
Question: A car covers a distance of 600 km in 6 hours. Find its speed?
Options:
A)104
B)100
C)266
D)288
E)121
Rationale: 600/6 = 100 kmph
Answer:B
Answer: B
Question: If two sides of a triangle have lengths 10 and 8, which of the following could be the perimeter of the triangle? I. 29 II. 26 III. 30
Options:
A)None
B)I only
C)II only
D)III only
E)I, II, and III
Rationale: The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.
Therefore:
(10-8) < {third side} < (8+10).
2 < {third side} < 18.
Perimeter = {third side} + 8 + 10 = {third side} + 18.
20 < {perimeter} < 36.
answer E
Answer: E
Question: The function f is defined for all the positive integers n by the following rule: f(a) is the number of positive integers each of which is less than a and has no positive factor in common with a other than 1 . if p is a prime number then f(p)?
Options:
A)p-1
B)p-2
C)(p+1)/2
D)(p-1)/2
E)2
Rationale: The moment you put a prime number in the function f(a), notice that all the numbers lesser than a have no divisor clashing with divisor of a since a is prime!!.
For instance f(7)= {6, 5, 4, 3, 2, 1}
Thus for f(p) number of integers falling under this set will be p-1
Answer :- A
Answer: A
Question: A car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 100 kilometers per hour. At what speed, in kilometers per hour, is the car traveling?
Options:
A)71.5
B)72
C)72.5
D)73
E)94.7
Rationale: Many approaches are possible, one of them:
Let the distance be 1 kilometer.
Time to cover this distance at 100 kilometers per hour is 1/100 hours = 3,600/100 seconds = 36 seconds;
Time to cover this distance at regular speed is 36+2=38 seconds = 38/3,600 hours = 4/379 hours;
So, we get that to cover 1 kilometer 1/(4/379) hours is needed --> regular speed 94.7 kilometers per hour (rate is a reciprocal of time or rate=distance/time).
Answer: E.
Answer: E
Question: A rectangular circuit board is designed to have width w inches, perimeter p inches, and area x square inches. Which of the following equations must be true?
Options:
A)w^2 + pw + x = 0
B)w^2 - pw + 2x = 0
C)2w^2 + pw + 2x = 0
D)2w^2 - pw - 2x = 0
E)2w^2 - pw + 2x = 0
Rationale: Notice that we can discard options A, and C right away. The sum of 3 positive values Cannot be 0.
Now, assume:
Width =w = 1 inchand length = 1 inch;
Perimeter =p = 4 inches;
Area =x = 1 square inches.
Plug the values of w, p, and x into the answer choices: only for E 2w^2 - pw + 2x = 2 - 4 + 2 = 0.
Answer: E.
Answer: E
Question: All of the students of the Music High School are in the band, the orchestra, or both. 80 percent of the students are in only one group. There are 98 students in the band. If 50 percent of the students are in the band only, how many students are in the orchestra only?
Options:
A)36
B)39
C)42
D)45
E)48
Rationale: 50% of students are in the band only, so 30% of students are in the orchestra only.
Since 20% of students are in both, then 70% of students are in the band which is 98 students.
The number of students in the orchestra is (30/70)*98 = 42.
The answer is C.
Answer: C
Question: In a group of 80 children and 17 youngsters, each child got sweets that are 15% of the total number of children and each youngster got sweets that are 25% of the total number of children. How many sweets were there?
Options:
A)1140
B)1160
C)1180
D)1300
E)1210
Rationale: Number of sweets each child got = 15% of 80 = 15/100 * 80 = 12.
Number of sweets 80 children got = 80 * 12 = 960.
Number of sweets each youngster got = 25% of 80 = 25/100 * 80 = 20.
Number of sweets 17 youngsters got = 17 * 20 = 340.
Total number of sweets = 960 + 340 = 1300.
D)
Answer: D
Question: A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 10km?
Options:
A)3
B)5
C)8
D)9
E)6
Rationale: M = 4
S = 2
US = 4 - 2 = 2
D = 10
T = 10/2 = 5
Answer:B
Answer: B
Question: A librarian has a set of seven books, including four different books about Abraham Lincoln. The librarian wants to put the seven books on a shelf with the four Lincoln books next to each other, somewhere on the shelf among the other three books. How many different arrangements of the seven books are possible?
Options:
A)(7!)/(4!)
B)(4!)(3!)
C)(4!)(4!)
D)(4!)(7!)
E)(4!)(3!)(7!)
Rationale: You can club the four Lincoln books as one, which leaves us with three other books plus this one to think about. So, these four items can be arranged in 4! ways, and since the four books can be moved around among themselves with each combination giving us a new overall combination, we have an additional 4! ways. Therefore, the answer would be 4!*4!, which is C.
Answer: C
Question: A committee of 3 people is to be chosen from four married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee?
Options:
A)16
B)24
C)26
D)30
E)32
Rationale: Each couple can send only one "representative" to the committee. Let's see in how many ways we can choose 3 couples (as there should be 3 members) out of 4 to send only one "representatives" to the committee: 4C3=4.
But each of these 3 couples can send two persons (husband or wife): 2*2*2=2^3=8.
Total # of ways: 4C3*2^3=32.
Answer: E.
Answer: E
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Options:
A)100 m
B)350 m
C)25 m
D)30 m
E)35 m
Rationale: Explanation:
Speed = 300/18 = 50/3 m/sec.
Let the length of the platform be x meters.
Then, (x + 300)/39 = 50/3
3x + 900 = 1950 => x = 350 m.
Answer:B
Answer: B
Question: Can you find the missing number in the sequence given below?
11 14 17 12 15 ? 13 16 19 14 17 20
Options:
A)20
B)21
C)18
D)23
E)24
Rationale: Solution:
18
Explanation :
The sequence is given in the puzzle is :
11 14 17 12 15 ? 13 16 19 14 17 20
Let's break the given series as below:
11 14 17
12 15 ?
13 16 19
14 17 20
Now read the number from left hand side from top to bottom as :
So the number that will replace '?' is 18.
Answer C
Answer: C
Question: In a drawer there is a number of pair of socks, out of which 1/5 are white pairs, 1/10 are black pairs, and the remaining 7 pairs are red. How many white socks are in the drawer?
Options:
A)10
B)2
C)1
D)7
E)4
Rationale: Let x be the total number of pairs of socks.
x(1/5+1/10)=3x/10 the number of pairs white and black.
x-3x/10=7x/10 is the number of red pairs of socks
7x/10=7 implies x=10.
There are 10 pairs of socks out of which 1/5 are white, that is, 1/5*10=2.
Thus, the total number of white socks is 2*2 =4.
Answer E 4.
Answer: E
Question: How many of the following numbers are divisible by 3 but not by 9.
4320, 2343, 3474, 4131, 5286, 5340, 6336, 7347, 8115, 9276
Options:
A)5
B)6
C)7
D)8
E)9
Rationale: Taking the sum of the digits, we have :
S1 = 9, S2 = 12, S3 = 18, S4 = 9, S5 = 21, S6 = 12, S7 = 18, S8 = 21, S9 = 15, S10 = 24.
Clearly, S2, S5, S6, S8, S9, S10 are all divisible by 3 but not by 9.
So, the number of required numbers = 6.
ANSWER:B
Answer: B
Question: Find the sum of first 16 natural numbers
Options:
A)136
B)468
C)465
D)463
E)485
Rationale: Explanation:
Sum of n natural numbers
=n(n+1)/2
=16(16+1)/2=16(17)/2=136
Answer: Option A
Answer: A
Question: A committee has 5 men and 6 women. What are the number of ways of selecting 3 men and 2 women from the given committee?
Options:
A)150
B)200
C)250
D)300
E)350
Rationale: The number of ways to select three men and two women = 5C3 * 6C2 = 10 * 15 = 150
The answer is A.
Answer: A
Question: After decreasing 24% in the price of an article costs Rs.836. Find the actual cost of an article?
Options:
A)1218
B)2777
C)1100
D)2688
E)1991
Rationale: CP* (76/100) = 836
CP= 11 * 100 => CP = 1100
Answer: C
Answer: C
Question: Harkamal purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 75 per kg. How much amount did he pay to the shopkeeper?
Options:
A)A)1235
B)B)1055
C)C)1065
D)D)1075
E)E)1080
Rationale: Cost of 8 kg grapes = 70 × 8 = 560.
Cost of 9 kg of mangoes = 75 × 9 = 675.
Total cost he has to pay = 560 + 675 = 1235.
A)
Answer: A
Question: A Winson's company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996?
Options:
A) 1:2
B) 4:5
C) 1:1
D) 3:2
E) 5:3
Rationale: A Winson's company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996.1996- x----- y------- x+y
1997- x1---- y1-- x1+y1
x1= a*x .....(P)
y1= 1.07*y...(Q)
x1+y1/x+y = 1.01
solve using P and Q and find x/y
Answer: A
Question: Find the average of all the numbers between 6 and 36 which are divisible by 5.
Options:
A)18
B)20
C)24
D)30
E)22.5
Rationale: Solution
Average	= (10+15+20+25+30+35)/6)
= 135 / 6
= 22.5
Answer E
Answer: E
Question: The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8091 for a computer table, then what was the cost price of the computer table?
Options:
A)7297
B)2977
C)2871
D)6725
E)6525
Rationale: Explanation:
CP = SP * (100/(100 + profit%))
= 8091(100/124) = Rs. 6525.
Answer: E
Answer: E
Question: One week, a certain truck rental lot had a total of 20 trucks, all of which were on the lot Monday morning. If 50% of the trucks that were rented out during the week were returned to the lot on or before Saturday morning of that week, and if there were at least 10 trucks on the lot that Saturday morning, what is the greatest number of different trucks that could have been rented out during the week?
Options:
A)18
B)20
C)12
D)8
E)4
Rationale: N - Not rented trucks; R - Rented trucks
N + R = 20
N + R/2 = 10
R = 20
B
Answer: B
Question: 2x + y = 20
|y| <= 20
For how many ordered pairs (x , y) that are solutions of the system above are x and y both integers?
Options:
A)15
B)17
C)19
D)21
E)25
Rationale: Hi - The questions says |y| <=20 so the values of y will range from 0 to 20. So the values of y will be 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20. So 21 (d) is the answer. remember sign doesn't matter for y as y will always be positive.D
Answer: D
Question: 998 x 998 = ?
Options:
A)996000
B)1000000
C)996004
D)4000
E)996008
Rationale: 998 x 998= (998)2
= (1000 - 2)2
= (1000)2 + (2)2 - (2 x 1000 x 2)
= 1000000+ 4 - 4000
= 1000004 - 4000
= 996004.
C)
Answer: C
Question: Solve for x: 2x – y = (3/4)x + 6.
Options:
A)(y + 6)/5
B)4(y + 6)/5
C)(y + 6)
D)4(y - 6)/5
E)2(y - 6)/5
Rationale: Solution:
2x – y = (3/4)x + 6.
or, 2x - (3/4)x = y + 6.
or, (8x -3x)/4 = y + 6.
or, 5x/4 = y + 6.
or, 5x = 4(y + 6).
or, 5x = 4y + 24.
or, x = (4y + 24)/5.
Therefore, x = 4(y + 6)/5.
Answer: (B).
Answer: B
Question: If 0 < x < 1 < y, which of the following must be true?
Options:
A)1 < 1/x < 1/y
B)1/x < 1 < 1/y
C)1/x < 1/y < 1
D)1/y < 1 < 1/x
E)1/y < 1/x < 1
Rationale: Soln:
0<x<1<y. Let x=1/2 and y =2
Substituting values:
A. 1<2<1/2 --- Wrong
B. 2<1< 1/2 --- Wrong
C. 2<1/2<1 --- Wrong
D. 1/2<1<2 --- Correct
E. 1/2<2<1 --- Wrong
Hence answer is D
Answer: D
Question: A certain sum of money is divided among A, B and C so that for each Rs. A has, B has 65 paisa and C 40 paisa. If C's share is Rs.40, find the sum of money?
Options:
A)Rs.201
B)Rs.220
C)Rs.228
D)Rs.205
E)Rs.202
Rationale: A:B:C = 100:65:40
= 20:13:8
8 ---- 40
41 ---- ? => Rs.205
Answer: D
Answer: D
Question: 40 is subtracted from 60% of a number, the result is 50. Find the number?
Options:
A)150
B)140
C)130
D)120
E)110
Rationale: (60/100) * X – 40 = 50
6X = 900
X = 150
ANSWER:A
Answer: A
Question: Zayn, Mark, David ,Peter, Harry and Paula line up at a ticket window. In how many ways can they arrange themselves so that David is second in line from the window?
Options:
A)a 100
B)b 112
C)c 90
D)d 120
E)e 30
Rationale: D
David's position is fixed. Now we need to arrange all others around David.
There are 5x4x3x2x1= 120 ways to arrange five people.
Answer: D
Question: If m / p is an integer, which of the following statements must be true?
Options:
A)m / p is an integer
B)p is an integer
C)both m and p are integers
D)either m or p is negative
E)m = np where n is an integer
Rationale: Let m = 1/4; p = 1/8 -->m/p = 2
m= np where n is an integer --> 1/4 = 2*(1/8) --> Correct
Answer: E
Answer: E
Question: A box contain 12 chocolates and 10 biscuit packets .What is the probability that one chocolate is selected is:
Options:
A)12/22
B)10/22
C)21
D)5/22
E)6/11
Rationale: Total number of chocolates and biscuit packets = 12+10= 22
no.of chocolates in a box = 12
probability of one chocolate is selected = 12/22= 6/11
Answer is E
Answer: E
Question: Look at this series: 2.2, 2.5, 2.8, 3.1, ... What number should come next?
Options:
A)3.2
B)3.3
C)3.4
D)3.5
E)3.6
Rationale: C
3.4
In this simple addition series, each number increases by 0.3.
Answer: C
Question: For a positive integer n, let Pn denote the product of the digits of nn and Sn denote the sum of the digits of nn. The number of integers between 10 and 100 for which Pn+Sn=n
Options:
A)2
B)3
C)9
D)12
E)None
Rationale: Explanation:
Let the two digit number be 'ab'
Given, a × b + a + b = 10a + b
a × b = 9a
b = 9
Therefore, for b = 9, the above condition satisfies. So all the two digit numbers for which units digit is 9 are our solutions. They range from 19 to 99. Total 9 numbers.
Correct option: c
Answer: C
Question: 2 friends X & Y walk from A to B at a distance of 39 miles at 3 miles/hr and 3.5 miles/hr respectively. Y reaches B, returns immediately and meets X at ‘C’ . find distance from A to C.
Options:
A)38 km
B)39 km
C)35 km
D)36 km
E)34 km
Rationale: Since the time of meeting will be same. Set the equation for time as equal.
---------------39---------------
A*...................C*...........*B
-----(39-x)-------|----x------
At C,
T(A)=T(B)
((39-x)/3)=((39+x)/3.5)
Solve for x. and subtract x from 39 to get the answer.
answer is 39-3=36km.
ANSWER:D
Answer: D
Question: Company KW is being sold, and both Company A and Company B were considering the purchase. The price of Company KW is 90% more than Company A has in assets, and this same price is also 100% more than Company B has in assets. If Companies A and B were to merge and combine their assets, the price of Company KW would be approximately what percent of these combined assets?
Options:
A)66%
B)75%
C)86%
D)97%
E)150%
Rationale: Let the price of Company A's assets be 100
Price of assets of KW is 90% more than company A's assets which is 190
Price of assets of KW is 100% more than company B's assets which means price of Company B's assets is half the price of KW = 95
A+B = 195
KW = 190
KW/(A+B)*100 = 190/195*100 = 97.43% or 97%D
Answer: D
Question: Finch has s pairs of shoes, which is 1/6 as many as Guptil and twice as many as S.Smith. In terms of s, how many pairs of shoes do the three of them have combined?
Options:
A)5s
B)15/2*s
C)14s
D)3s
E)13/2*s
Rationale: == s +6s + s/2 ==> 7s + 1/2 s = 15/2*s
Ans .B
Answer: B
Question: What is the sum of all the multiples of 10 between 0 and 120?
Options:
A)500
B)620
C)450
D)340
E)780
Rationale: The multiples of 10 between 0 and 120 are 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110 and 120. If these are all added together, the result is 780.
Final Answer:
E
Answer: E
Question: If n=5p where p is a prime number greater than 1, how many different positive even divisors does n have, WITHOUT N VALUE?
Options:
A)1
B)2
C)3
D)45
E)5
Rationale: N = 5P and that P is a prime number greater than 1. Let's TEST P = 2; so N = 10
The question now asks how many DIFFERENT positive EVEN divisors does 10 have, including 10?
10:
1,10
5,2
How many of these divisors are EVEN? 2 …..1 even divisors.
ANSWER:A
Answer: A
Question: In a sports club with 35 members, 15 play badminton and 18 play tennis and 5 do not play either. How many members play both badminton and tennis?
Options:
A)3
B)5
C)6
D)7
E)8
Rationale: 15+18=33
but where as total number is 35-5=30
therefore answer is 33-30=3
Hence Answer is A
Answer: A
Question: If 6th March, 2013 is Wednesday, what was the day of the week on 6th March, 2012?
Options:
A)Sunday
B)Saturday
C)Tuesday
D)Wednesday
E)None of these
Rationale: Solution
The year 2012 is a leap year. So, it has 2 odd days.
But, Feb 2012 not included because we are calculating from March 2012 to March 2013. So it has 1 odd day only.
The day on 6th March, 2013 will be 1 day beyond the day on 6th March, 2012. Given that, 6th March, 2013 is Wednesday.
6th March, 2012 is Tuesday (1 day before to 6th March, 2013)
Answer C
Answer: C
Question: In Winchard's company 60% of the employees earn less than $50,000 a year, 60% of the employees earn more than $40,000 a year, 11% of the employees earn $43,000 a year and 5% of the employees earn $49,000 a year. What is the median salary for the company?
Options:
A)43.0
B)45.5
C)46.0
D)49.0
E)50.0
Rationale: In Winchard's company 60% of the employees earn less than $50,000 a year, 50 and 51 employee will be each 43K. hence median = (43K+43k)/2=A
Answer: A
Question: Jason flips a coin three times. What is the probability E that the coin will land on the same side in all three tosses?
Options:
A)1/16
B)1/8
C)1/4
D)1/3
E)1/2
Rationale: Total outcome is 2^3=8
Favorable cases HHH or TTT
Therefore, probability E is 2/8 or 1/4.C
Answer: C
Question: Two numbers when divided by a divisor leave remainders of 218 and 342 respectively. The remainder obtained when the sum of the numbers is divided by the same divisor is 68. Find the divisor.
Options:
A)387
B)423
C)492
D)512
E)602
Rationale: Let x be the divisor.
N1 = xa + 218
N2 = xb + 342
N1 + N2 = x(a+b) + 560 = xc + 68
x(c-a-b) = 492 but we know that x > 342, thus (c-a-b) must equal 1.
The answer is C.
Answer: C
Question: Find the middle one when The sum of three consecutive even numbers is 36?
Options:
A)10
B)12
C)14
D)16
E)17
Rationale: 3 consecutive numbers can be a - 1, a, a + 1
So sum of numbers = 3a = 36.
Hence a = 12.
B
Answer: B
Question: If Packard reads at a constant rate of 4 pages every 5 minutes, how many seconds will it take him to read N pages?
Options:
A)75
B)2N
C)5/2*N
D)24N
E)150
Rationale: Packard would read 1 page in 5/4 min
Packard would read N page in (5/4)*N min i.e. (5/4)*N*60 Seconds = 75N Seconds.
Option A is the correct Answer.
Answer: A
Question: Four friends built a colony for themselves. They built their own houses at different distances from each other.
Chris lived 60 km away from Alex.
Darren lived 40 km away from Bill.
Chris lived 10 km nearer to Darren than he lived to Bill.
Can you find out how far was Darren's house from Alex?
Options:
A)55 km.
B)65 km.
C)75 km.
D)85 km.
E)95 km.
Rationale: Solution:
75km
Explanation:
Distance between Bill and Darren = 40 km
Distance between Bill and Chris + Distance between Chris and Darren = 40 km
Distance between Bill and Chris + (Distance between Bill and Chris - 10) = 40 km
2 * Distance between Bill and Chris = 50 km
Distance between Bill and Chris = 25
Distance between Chris and Darren = 15 km
Therefore, distance between Darren's house and Alex's house = 60 + 15 = 75 km.
Answer C
Answer: C
Question: A 700-level question for the GMAT committed souls studying over the weekend.
If a and b are distinct integers and a^b=b^a, how many solutions does the ordered pair (a, b) have?
Options:
A)None
B)1
C)2
D)4
E)Infinite
Rationale: (2,4) and (4,2)
a=1 b=1 and a=2 b=2 also has the solution. But we need distinct. Now when we will increase a>4, b^a increase more rapidly than a^b.
ANSWER:B
Answer: B
Question: If a man crosses a 400 m long street in 5 minutes. What is his speed?
Options:
A)7 km/hr
B)7.1 km/hr
C)7.2 km/hr
D)4.8 km/hr
E)8.5 km/hr
Rationale: distance = 400 meter
time = 5 minutes = 5 x 60 seconds = 300 seconds
Speed = distance/time=400/300=1.33m/s=1.33×18/5 km/hr=4.8 km/hr
D
Answer: D
Question: If x + y = 8 and y − 3x = 7, then what is the value of y-x?
Options:
A)1/7
B)3
C)15
D)15/2
E)60/7
Rationale: x+y=8 ...equation 1
-3x+y=7 ...equation 2
adding both the equations
-2x+2y=15=>y-x=15/2
correct answer option D
Answer: D
Question: The length and breadth of a rectangle is increased by 5% and 15% respectively. What is the increase in the area?
Options:
A)21.25
B)22.75
C)19.25
D)20.75
E)22.25
Rationale: 100*100 =10000
105*115 =12075
-----------
2075
10000------2075
100-----?=>20.75
Answer D
Answer: D
Question: The average of five numbers is 30. If one number is excluded, the average becomes 28. The excluded number is?
Options:
A)8
B)6
C)38
D)35
E)96
Rationale: Excluded number
= (30 * 5) - (28 * 4)
= 150 - 112 = 38
Answer:C
Answer: C
Question: If the price of a book is first decreased by 50% and then increased by 60%, then the net change in the price will be?
Options:
A)20% decrease
B)10% increase
C)10% decrease
D)15% increase
E)25% decrease
Rationale: Let the original price be $100
New final price = 160% of (50% of $100)
= 160/100 * 50/100 *100 = $80
Decrease is 20%
Answer is A
Answer: A
Question: Superman flied 200 miles in 1 hour 1 minute. What was the average speed of Superman?
Options:
A)180 miles / hour
B)170.3 miles / hour
C)196.72 miles / hour
D)160 miles / hour
E)150 miles / hour
Rationale: We first convert the time of 1 hours 1 minutes in minutes
1 hours 1 minutes = 1 * 60 + 1 = 61 minutes
Average speed S is given by distance / time. Hence
S = 200 miles / 61 minutes = 3.27 mile / minute
= 196.72 miles / hour
correct answer C
Answer: C
Question: Two circular blocks are placed one above the other. Block A at the bottom has a diameter of 24 cm. Block B at the top has a diameter of 16 cm. What fraction of Block A's surface is not covered by Block B?
Options:
A)5/6
B)2/3
C)2/9
D)18/20
E)4/5
Rationale: The questions asks us to find the surface which is not covered by the Block B i.e., area of the surface not covered.
Where as circumference is the length along the edge of the circle,
2*pi*r implies the length of the curve
pi*r^2 implies area enclosed by that curve..hence Area of the circle is considered for this problem
Area of the Block B=pi* r^2, where r=8
=>pi*64
Area of the Block A=pi*144
Surface not covered by the Block B=pi*144-pi*64=Pi*80
fraction of Block A surface is not covered by a Block B= Pi*80/total area of the Block A
=>Pi*80/Pi*144=2/9
Answer C
Answer: C
Question: 81,162,49,98,25,50,64
Options:
A)126
B)127
C)129
D)128
E)131
Rationale: 81*2=162
49*2=98
25*2=50
64*2=128
ANSWER:D
Answer: D