divelab/Sys2Bench huggingface dataset:
Question: The number of stamps that P and Q had were in the ratio of 7:3 respectively. After P gave Q 13 stamps, the ratio of the number of P's stamps to the number of Q's stamps was 5:4. As a result of the gift, P had how many more stamps than Q?
Options:
A)10
B)25
C)40
D)65
E)90
Rationale: P started with 7k stamps and Q started with 3k stamps.
(7k-13)/(3k+13) = 5/4
28k - 15k = 117
k = 9
P has 7(9) - 13 = 50 stamps and Q has 3(9)+13 = 40 stamps.
The answer is A.
Answer: A
Question: Solution Y is 30 percent liquid X and 70 percent water. If 3 kilograms of water evaporate from 8 kilograms of solution Y and 3 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid X?
Options:
A)35%
B)37%
C)41.3%
D)42%
E)45%
Rationale: In 8 kilograms of solution Y there are 0.3*8=2.4 kilograms of solution X;
After 3 kilograms of water are replaced by 3 kilograms of solution Y, to the existing 2.4 kilograms of solution X, 0.3*3=0.9 kilograms of solution X are added, so in the new solution of 8 kilograms there are 2.4+0.9=3.3 kilograms of solution X, which is 3.3/8*100=41.3% of this new solution.
Answer: C.
Answer: C
Question: 40% of a number is added to 120, the result is the same number. Find the number?
Options:
A)400
B)288
C)1687
D)997
E)121
Rationale: (40/100) * X + 120 = X
2X = 400
X = 200
Answer:A
Answer: A
Question: The average of first 22 natural numbers is?
Options:
A)11.6
B)11.5
C)12.9
D)15.4
E)15.1
Rationale: Sum of 22 natural no. = 506/2 = 253
Average = 253/22 = 11.5
Answer:B
Answer: B
Question: A person was asked to state his age in years. His reply was, "Take my age three years hence, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am." What was the age of the person?
Options:
A)18 years
B)20 years
C)24 years
D)32 years
E)34 years
Rationale: Explanation:
Let the present age of the person be x years.
Then, 3(x + 3) - 3(x - 3) = x
3x + 9 - 3x + 9 = x => x = 18
ANSWER IS A
Answer: A
Question: Pointing to a photograph, a lady tells Pramod, "I am the only daughter of this lady and her son is your maternal uncle." How is the speaker related to Pramod's father
Options:
A)Sister-in-law
B)Wife
C)Either (a) or (b)
D)Neither (a) nor (b)
E)Either B) or (A)
Rationale: Explanation:
Clearly, the speaker's brother is Pramod's maternal uncle. So, the speaker is Pramod's mother or his father's wife
Answer: B
Answer: B
Question: Listed below are the mean temperatures measured in the Tokharian desert in a certain month. What is the median temperature E in that particular month?
Mean Temp (C°) No. of days
29 --------------------> 5
30 --------------------> 11
31 --------------------> 8
32 --------------------> 6
Options:
A)29
B)30
C)30.5
D)31
E)32
Rationale: to find out median===>they must be arranged in ascending order.
29 29 29...(5 times)30 30 30 30.....(11 times)31 31 31.....(8 times)32 32 32 .....(6 times)
total days=5+11+8+6=30
therefore 30 numbers ...median E will be==>mean of 15 and 16 th place temperature===>(30+30)/2=30
hence B
Answer: B
Question: If two letters are chosen at random (without replacement) from the word HORSEBACK, what is the probability that none of the letters are vowels?
Options:
A)4/9
B)5/9
C)5/12
D)7/24
E)11/36
Rationale: The number of ways to choose two letters is 9C2 = 36
The number of ways to choose two consonants is 6C2 = 15.
P(no vowels) = 15/36 = 5/12
The answer is C.
Answer: C
Question: You collect baseball cards. Suppose you start out with 11. Maria takes half of one more than the number of baseball cards you have. Since you're nice, you give Peter 1 baseball card. Since his father makes baseball cards, Paul decides to triple your baseball cards. How many baseball cards do you have at the end?
Options:
A)12
B)18
C)19
D)20
E)21
Rationale: Solution
Start with 11 baseball cards.
Maria takes half of one more than the number of baseball cards you have. So Maria takes half of 11 + 1 which is 6,
so you're left with 11 - 6 = 5.
Peter takes 1 baseball card from you: 5 - 1 = 4 baseball cards.
Paul triples the number of baseball cards you have: 4 Ã— 3 = 12 baseball cards.
So you have 12 at the end.
Correct answer : A
Answer: A
Question: Find the smallest number which when divided by 11 and 12 leaves respective remainders of 2 and 3.
Options:
A)131
B)197
C)207
D)219
E)227
Rationale: Let 'N' is the smallest number which divided by 11 and 12 leaves respective remainders of 2 and 3.
Required number = (LCM of 11 and 12) - (common difference of divisors and remainders) = (132) - (1) = 131.
ANSWER:A
Answer: A
Question: A two-digit number is seven times the sum of its digits. If each digit is increased by 2, the number thus obtained is 4 more than six times the sum of its digits. Find the number.
Options:
A)42
B)24
C)48
D)Data inadequate
E)None of these
Rationale: Let the two-digit number be l0 x + y.
10x + y = 7(x + y) Þ x = 2y...(i)
10(x + 2) + y + 2 = 6(x + y + 4) +4
or 10x + y + 22 = 6x + 6y + 28 Þ 4x – 5y = 6 ... (ii)
Solving equations (i) and (ii), we get x = 4 and y = 2
Answer A
Answer: A
Question: Ross has 20 shirts, 3/4 of the shirts are green and 1/10 is without buttons. Therefore Ross has between ___ and ___ shirts with buttons that are not green.
Options:
A)3 ; 5.
B)3 ; 6.
C)3 ; 7.
D)3 ; 8.
E)3 ; 9.
Rationale: Total shirts = 20
Green shirts = 3/4*20 = 15, Non green shirts = 5
Shirts without button = 1/10*20 = 2, shirts with button = 18
Required: Range of shirts with buttons that are not green.
Maximum non green shirts with buttons = number of non green shirts = 5
Minimum non green shirts with buttons (All without button shirts are non green) = Non green shirts - shirts without button = 5 - 2 = 3
Hence the range would be (3, 5)
Correct Option: A
Answer: A
Question: Consider an equilateral triangle 4ABC with unit side length. Let M be the midpoint of side
AB. A ball is released in a straight line from M and bounces o the side BC at a point D.
Then, it bounces o the side CA at a point E and lands exactly at B. By the law of re
ection,
we have \BDM = \CDE and \CED = \AEB. Calculate MD + DE + EB, the distance
that the ball travels before reaching B.
Options:
A)√12/2
B)√11/2
C)√13/2
D)√14/2
E)√17/2
Rationale: The solution can be obtained by re
ecting the triangle across edge CB to obtain
another equilateral triangle 4A0CB, and then across A0C to get 4A0B0C. The length of the
line MB0 is the minimum distance from M to the vertex B that hits both sides BC and CA0.
The length of the line segment BB0 is
√3/2
Thus, the length of MB =√1+3/4=√13/2
correct answer C
Answer: C
Question: A firm has 4 senior partners and 6 junior partners. How many different groups D of 3 partners can be formed in which at least one member of the group is a senior partner. (2 groups are considered different if at least one group member is different)
Options:
A)48
B)100
C)120
D)288
E)600
Rationale: What seems to work as well, though its tougher to come up with this solution:
(10*9*8) * 2/3 + (10*9*4)*1/3 = 600. Divided by all possible permutations (=3!) yields 100.
Explanation: For the first spot you have 10 possible canditates, for the 2nd 9. For the 3rd spot you need to differentiate if a senior partner has been picked for one of the first 2 spots or not. If yes, then you can pick one of the 8 remaining guys, so 10*9*8. If no senior partner has been picked yet, you need 10*9*4.
Now you need to weight the 2 cases with the corresponding probabilities: probability of no senior partner being picked in the first 2 draws = 6/10*5/9=1/3, so you weight 10*9*4 with 1/3. For the complementary case (senior partner was picked in the first 2 draws) you just take the complementary prob (1-1/3)= 2/3 and weight 10*9*8 with it.
Now you just need to divide the answer (600) by the number of different positions (=3!) and get D=600/6=100B
Answer: B
Question: A man's speed with the current is 30km/hr and the speed of the current is 5 km/hr. The man's speed against the current is
Options:
A)10 km/hr
B)20 km/hr
C)25 km/hr
D)30 km/hr
E)35 km/hr
Rationale: Explanation:
Speed of man with the current = 30 km/hr
Speed of current = 5
Since, Speed of current + speed of man = 30
5 + speed of man = 30
Speed of man = 25 km/hr
man's speed against the current is = speed of man - speed of current = 25 - 5 = 20 km/hr
Answer: Option B
Answer: B
Question: (786×74) ÷ ? = 1211.75
Options:
A)4.8
B)48
C)58
D)68
E)48
Rationale: Explanation:
58164/x = 1211.75 => x = 58164/1211.75 = 48
Answer: Option B
Answer: B
Question: A store’s selling price of $2240 for a certain computer would yield a profit of 40 percent of the store’s cost for the computer. What selling price would yield a profit of 60 percent of the computer’s cost?
Options:
A)	$2400
B)	$2464
C)	$2560
D)	$2732
E)	$2800
Rationale: 1.4x = 2240
x=2240/1.4
so, 1.6X = 2240*1.6/1.4= 2560
Answer:- C
Answer: C
Question: Using all the letters of the word "NOKIASE", how many words can be formed, which begin with N and end with A?
Options:
A)8
B)120
C)9
D)3
E)1
Rationale: There are five letters in the given word.
Consider 7 blanks ....
The first blank and last blank must be filled with N and A all the remaining three blanks can be filled with the remaining 3 letters in 5! ways.
The number of words = 5! = 120.
Answer:B
Answer: B
Question: A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.6 m and its walls are 5 cm thick. The thickness of the bottom is:
Options:
A)90 cm
B)6 dm
C)1 m
D)1.1 cm
E)None of these
Rationale: Explanation:
Let the thickness of the bottom be x cm.
Then , [(330 - 10) × (260 - 10) × (160 - x)] = 8000 × 1000
=> 320 × 250 × (160 - x) = 8000 × 1000
=> (160 - x) = 8000×1000/320=
100
=> x = 60 cm = 6 dm.
Answer: B
Answer: B
Question: The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square.
Options:
A)290 sq cm
B)800 sq cm
C)209 sq cm
D)Cannot be determined
E)200 sq cm
Rationale: Explanation:
Let the side of the square be a cm. Let the length and the breadth of the rectangle be l cm and b cm respectively.
4a = 2(l + b)
2a = l + b
l . b = 480
We cannot find ( l + b) only with the help of l . b. Therefore a cannot be found .
Area of the square cannot be found.
Answer: Option D
Answer: D
Question: what is the integer among the following that represents a sum of 3 consecutive even integers?
Options:
A)200
B)303
C)400
D)554
E)588
Rationale: Sum of three consecutive Even Integers must be a multiple of 2 as well as a multiple of 3 because such a sum is always 3 times the middle number (applicable to all equally spaced numbers)
Divisibility of 3: Sum of the digits of the number must be divisible by 3
Divisibility of 2: Unit digit of the number must be divisible by 2
A. 200NOT A MULTIPLE OF 3 SO RULED OUT
B. 303NOT A MULTIPLE OF 2 SO RULED OUT
C. 400NOT A MULTIPLE OF 3 SO RULED OUT
D. 554NOT A MULTIPLE OF 3 SO RULED OUT
E. 588A MULTIPLE OF BOTH 2 AND 3 SO THE CORRECT ANSWER!!!
Answer: E
Question: Two printing presses begin printing currency at the same time and at constant speeds. Press F produces 5-dollar bills at the rate of 1,000 bills per minute. Press T produces 20-dollar bills at the rate of 200 bills per minute. Once the machines have begun printing, how many seconds does it take for Press F to produce 50 dollars more currency than Press T?
Options:
A)2
B)3
C)4
D)5
E)6
Rationale: Press F produces $5 bills @1000 per minute(60 sec) so $500 in 6 secs
Press T produces $20 bills200per minute(60 sec) so $400 in 6 secs..
so we can see F produces $ 100 in 6 secs or will print $50 in 3 secs..
ans 3 secs..
B
Answer: B
Question: There is an increase of 30% in the production of milk chocolates in Amul Dairy in one month. If now it is 5,200 milk chocolates per month, what was it one month ago?
Options:
A)10,000 chocolates
B)9000 chocolates
C)4000 chocolates
D)7000 chocolates
E)None of these
Rationale: Let one month ago, production be x chocolates.
Then, 130 % of x = 5200
⇒ x = 5200×100/130=4000 chocolates
Answer C
Answer: C
Question: If the numerator of a fraction Q is tripled, and the denominator of a fraction is doubled, the resulting fraction will reflect an increase of what percent?
Options:
A)16 1⁄6%
B)25%
C)33 1⁄3%
D)50%
E)66 2⁄3%
Rationale: This question can be dealt with conceptually or by TESTing VALUES.
We're told that the numerator of a fraction Q is tripled and the denominator of that same fraction is doubled. We're asked for the resulting increase, in percentage terms, of that fraction.
Let's TEST 2/1
If we triple the numerator and double the denominator, we end up with....
(2x3)/(1x2) = 6/2 = 3
Since we're increasing 2 to 3, we're increasing that fraction by (3-2)/2 = 1/2 of itself = 50%
D
Answer: D
Question: The price of pulses has fallen by 22%. How many quintals can be bought for the same amount which was sufficient to buy 20 quintals at the higher price?
Options:
A)20
B)22.5
C)25.6
D)27.8
E)32.5
Rationale: 80% of original price can buy = 18 quintals.
Therefore, he can buy ( 20 x 100 )/ 78 = 25.6 quintals at the lower price.
ANSWER:C
Answer: C
Question: A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
Options:
A)450
B)200
C)250
D)300
E)350
Rationale: 10 * 150 = 1500
3 * 100 + 5 * 150 = 1050
1500 â€“ 1050 = 450
ANSWER A
Answer: A
Question: A certain series is defined by the following recursive rule: Sp=K(Sp-1) , where k is a constant. If the 1st term of this series is 64 and the 25th term is 192, wha is the 9th term?
Options:
A)ROOT 2
B)ROOT 3
C)64*ROOT 3
D)64*3^1/3
E)64*3^24
Rationale: Ans...D
No need for any GP formula here
The rule is that pth term is K times the (p-1)th term.
1st = 64
2nd = k.64
3rd = k^2.64
.
.
.
9th term = k^8 *64
.
.
.
so 25th = k^24*64
Using this solve for k and substitute k in the equation for the 9th term
Answer: D
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling alongthe oundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
Options:
A)123600 m
B)112600 m
C)153600 m
D)153500 m
E)154300 m
Rationale: Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m.
60
Let length = 3x metres and breadth = 2x metres.
Then, 2(3x + 2x) = 1600 or x = 160.
Length = 480 m and Breadth = 320 m.
Area = (480 x 320) m2 = 153600 m
C
Answer: C
Question: The difference between the place value and the face value of 6 in the numeral 856973 is
Options:
A)5994
B)6973
C)973
D)1000
E)7000
Rationale: (Place value of 6) - (Face value of 6) = (6000 - 6) = 5994
ANSWER A
Answer: A
Question: Water is leaking out from a cylinder container at the rate of 0.31 m^3 per minute. After 10 minutes, the water level decreases 1/16 meters. What is value of the radius in meters?
Options:
A)1/4
B)2
C)4
D)8
E)12
Rationale: 10*0.31 = 3.1 = pi*R^2*h
R^2 = 3.1 / (pi*1/16) which is about 16
R = 4
The answer is C.
Answer: C
Question: Find the smallest number that should be multiplied with 54000 to make it a perfect cube.
Options:
A)4
B)5
C)6
D)3
E)7
Rationale: 54000 = 2^1 * 3^3 * 10^3
to make it ps * 2^2 or 4
ANSWER:A
Answer: A
Question: A factory produces 4340 toys per week. If the workers at this factory work 2 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?
Options:
A)1375 toys
B)2170 toys
C)2375 toys
D)2175 toys
E)5375 toys
Rationale: To find the number of toys produced every day, we divide the total number of toys produced in one week (of 2 days) by 2.
4340 / 2 = 2170 toys
correct answer B
Answer: B
Question: If the terms of a series are either2or24and the sum of all the terms S of the series is 124, then which of the following could be the number of2sin the series?
Options:
A)26
B)29
C)35
D)40
E)48
Rationale: Ans: A
Solution: we are not certain how many 2 or 24 are there. but as given sum of all the terms is 124 means 24*5= 120 so number of 24 can't be more than 5
so S=24x +2y = 124
24*5 + 2y =124 then y=2
24*4 + 2y = 124 then y=14
24*3 +2y = 124 then y= 26
24*2 +2y =124 then y = 38
24 +2y = 124 then y= 50
26 is the ans.
Answer: A
Question: Two pipes A&B can fill a tank in 24 min and 32 min respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 min.
Options:
A)8 min
B)3 min
C)21 min
D)23 min
E)24 min
Rationale: 3/4 tank is filled by A in 18 mins.
then balance 1/4 tank is filled by B in 32*1/4 = 8 mins.
ANSWER:A
Answer: A
Question: If x≠7 and (x^2 - 49)/(2y) = (x - 7)/4, then in terms of y, x = ?
Options:
A)(y - 6)/2
B)(y - 3)/2
C)y - 3
D)y - 6
E)(y - 14)/2
Rationale: Since (x^2 – 49)=(x-7)(x+7) the original equation can be changed into 4*(x-7)(x+7) = 2y *(x-7).
By cancelling 2(x-7) (we can do it because x≠7) we get :
2*(x+7)=y.
So x=(y-14)/2. So the answer is E).
Answer: E
Question: The speed of a car is 50 km in the first hour and 60 km in the second hour. What is the average speed of the car?
Options:
A)79 kmph
B)85 kmph
C)55 kmph
D)23 kmph
E)14 kmph
Rationale: S = (55 + 60)/2
= 55 kmph
Answer:C
Answer: C
Question: (√27+√192)/√54=?
Options:
A)2√2
B)2√3
C)3√2
D)11/(3*√2)
E)√2
Rationale: (√27+√192)/√54
=(3√3+8√3)/3√3*2
=11√3/3√3*2
=11/(3*√2)
=11/(3*√2).
Hence, the correct answer is D.
Answer: D
Question: 300 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees
Options:
A)10
B)12
C)14
D)16
E)17
Rationale: 26 trees have 25 gaps between them,
Required distance (300/25) = 12
B
Answer: B
Question: Line L passes through the points (-2,0) and (0,a). Line LL passes through the points (4,0) and (6,2). What value of a makes the two lines parallel?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: Find slopes first
Slope of L = (a - 0) / (0 - (-2)) = a / 2
Slope of LL = (2 - 0) / (6 - 4) = 1
For L and LL to be parallel, their slopes must be equal
a / 2 = 1 , a = 2
correct answer B
Answer: B
Question: A and B can do a piece of work in 6 days. With the help of C they finish the work in 4 days. C alone can do that piece of work in?
Options:
A)40 days
B)12 days
C)15 days
D)60 days
E)40 days
Rationale: B
12 days
C = 1/4 – 1/6 = 1/12 => 12 days
B
Answer: B
Question: The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child?
Options:
A)2 years
B)5 years
C)9 years
D)4 years
E)1 years
Rationale: 28 * 2 = 56
20 * 3 = 60
-----------
4 years
Answer:D
Answer: D
Question: Mohit sold an article for Rs. 18000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?
Options:
A)Rs. 15000
B)Rs. 16200
C)Rs. 14700
D)Rs. 15900
E)None of these
Rationale: Let the CP be Rs. x.
Had he offered 10% discount, profit = 8%
Profit = 8/100 x and hence his SP = x + 8/100 x = Rs. 1.08x = 18000 - 10/100(18000) = 18000 - 1800 = Rs. 16200
=> 1.08x = 16200
=> x = 15000
ANSWER:A
Answer: A
Question: The owner of a local jewellery store hired three watchmen to guard his diamonds, but a thief still got in and stole some diamonds. On the way out, the thief met each watchman, one at a time. To each he gave 1/3 of the diamonds he had then, and 3 more besides. He escaped with 3 diamonds. How many did he steal originally?
Options:
A)198
B)199
C)200
D)None of these
E)Cannot be determined
Rationale: Explanation :
Since, thief escaped with 3 diamond,
Before 3rd watchman, he had ( 3 + 3 ) x 3 = 18 diamonds.
Before 2nd watchman, he had ( 18 + 3 ) x 3 = 63 diamonds.
Before 1st watchman, he had ( 63 + 3 ) x 3 = 198 diamonds.
Answer : A
Answer: A
Question: In how many different Q ways can 4 ladies and 4 gentlemen be seated at a round table so that all ladies sit together?
Options:
A)70
B)288
C)576
D)10,080
E)20,160
Rationale: Treat the 4 ladies as one object, now you have 5 objects to arrange around a table (m1,m2,m3,m4,women). This can be done in (5-1)! ways
And there are 4! ways to arrange ladies among themselves
Answer Q= (4!)^2 = 576 or C
Answer: C
Question: a' and 'b' are positive integers such that their LCM is 20 and their HCF is 1. What is the addition of the maximum and minimum possible values of 'a + b'?
Options:
A)21
B)34
C)30
D)25
E)12
Rationale: possible values of a and b can be 5,4; 4,5 (which are same for a+b) and 1,20; 20,1 (same result for a+b)
so 21+9=30 ans C
Answer: C
Question: On a map, 1 inch represents 28 miles. How many B inches would be necessary to represent a distance of 383.6 miles?
Options:
A)5.2
B)7.4
C)13.7
D)21.2
E)28.7
Rationale: B inches necessary to represent a distance of 383.6 miles = 383.6/28
= 13.7
Answer C
Answer: C
Question: Approximately how many revolutions will be made by a car tire with a 13-inch diameter if the car travels 1⁄2 mile?
Options:
A)120
B)180
C)772
D)720
E)1,440
Rationale: Diameter of car tire = 13 inches
Radius of car tire = 6.5 inches = 6.5*2.54 cm = 16.51 cm
Circumference of the car tire = 2*pi * 16.51 = 2 *3.14 *16.51= 103.68 cm
Distance traveled by car = .5 mile = .5 *1.6 km = .8 km = 800 m = 8 * 10^4 cm
Number of revolutions =Distance traveled / Circumference of tire = 8 * 10^4 / 103.68 = 771.60
Since the answer choices are far apart we should use estimation in this question .
Ideally ,in the GMAT the conversion between units would be provided .
Answer C
Answer: C
Question: On dividing a number by 68, we get 269 as quotient and 0 as remainder. On dividing the same number by 67, what will be the remainder?
Options:
A)0
B)1
C)2
D)3
E)4
Rationale: Number = 269 * 68 + 0 = 18292
67) 18292 (273
18291
--------
1
Required number = 1.
ANSWER:B
Answer: B
Question: A milkman sells his milk at CP but he mixes it with water and thereby gains 25%. What is the % of water in the mixture?
Options:
A)10%
B)15%
C)20%
D)25%
E)30%
Rationale: Here Gain= 25%
error = quantity of water he mixes in the milk =x
true value = true quantity of milk = T
So the formula becomes, 25=x(T−x)×100
⇒1=x(T−x)×4⇒T−x=4x⇒T=5x
Percentage of water in the mixture
=xT×100=x5x×100=15×100=20%
C
Answer: C
Question: Jerome anticipated that the WebWeb.com stock price would fall and sold all his WebWeb.com stocks for $5 per stock. He paid $10,000 tax on the revenue. A week later, Jerome became convinced that the WebWeb.com stock price would rise, and he used the money that he had gotten from selling the WebWeb.com stocks to purchase them again, this time at $6 per stock. If Jerome ended up having 6000 WebWeb.com stocks fewer than the number he had before selling them, how many WebWeb.com stocks did he have originally?
Options:
A)10,000
B)11,600
C)12,000
D)14,000
E)16,000
Rationale: Let the number of shares be x.
5*x -10000(money paid in taxes) = 6(x- 6000)
Solving for x, we get the shares as 16000.
Ans :(Option E)
Answer: E
Question: There are 137 employees in Company X. If the number of employees who birth in June is the greatest, what is the least possible number of the employees in the company who birth in June?
Options:
A)10
B)11
C)12
D)13
E)15
Rationale: IMO 16
Take each answer choice and substract it from 137 and the divided this with 11.
E
Answer: E
Question: A broker invested her own money in the stock market. During the first year, she increased her stock market wealth by 90 percent. In the second year, largely as a result of a slump in the stock market, she suffered a 50 percent decrease in the value of her stock investments. What was the net increase or decrease on her overall stock investment wealth by the end of the second year?
Options:
A)−5%
B)5%
C)15%
D)20%
E)80%
Rationale: The actual answer is obtained by multiplying 140% by 70% and subtracting 100% from this total. That is: 190% × 50% = 95%; 95% − 100% = -5%.
Answer: A
Answer: A
Question: The average weight of 8 person's increases by 3.5 kg when a new person comes in place of one of them weighing 65 kg. What is the weight of the new person?
Options:
A)93 Kg
B)50 Kg
C)85 Kg
D)80 Kg
E)60 KG
Rationale: Explanation:
Total increase in weight = 8 Ã— 3.5 = 28
If x is the weight of the new person, total increase in weight = xâˆ’65
=> 28 = x - 65
=> x = 28 + 65 = 93
Answer: Option A
Answer: A