divelab/Sys2Bench huggingface dataset:
Question: The probability that A will not tell truth is 75% and the probability that B will tell truth is 60%.what is the probability that an incident described by them is true?
Options:
A)10%
B)12%
C)15%
D)17%
E)19%
Rationale: A truth....> 25%
B truth.....> 60%
a&b truth...> 0.25*0.6=0.15=15%
ANSWER:C
Answer: C
Question: A and B Started a business with Rs.15000 and 12000 respectively. After 6 months B puts Rs.1000 more in his capital while after 8 months A puts Rs.5000 more in his capital. If there is a profit of Rs.35,000 after one year then B will get
Options:
A)Rs.15,000
B)Rs.18,000
C)Rs.16,000
D)Rs.20,000
E)Rs.22,000
Rationale: Ratio of A and B
=15000*8+20,000*4 : 12000*6+1300*6
= 4 :3
Then B will get
= 3/7*35,000
=15,000
ANSWER:A
Answer: A
Question: How long does a train 130 m long running at the speed of 65 km/hr takes to cross a bridge 150 m length?
Options:
A)15.7 sec
B)15.1 sec
C)15.5 sec
D)17.1 sec
E)16.7 sec
Rationale: Speed = 65 * 5/18
= 18.1 m/sec
Total distance covered
= 130 + 150 = 280 m.
Required time = 280/18.1 '
= 15.5 sec.
Answer:C
Answer: C
Question: What is the next number in the sequence below? 1 4 9 16 25 36 49 64 81 100 121 __ ?
Options:
A)45
B)64
C)81
D)136
E)144
Rationale: as the series of numbers are squares of numbers
1^2=1
2^2=4
3^2=9
and so on
therefore 12^2=144
ANSWER:E
Answer: E
Question: Find the value of 72519 x 9999 = m?
Options:
A)723437481
B)725465481
C)625117481
D)725117481
E)725118081
Rationale: 72519 x 9999 = 72519 x (10000 - 1)
= 72519 x 10000 - 72519 x 1
= 725190000 - 72519
= 725117481
D
Answer: D
Question: In how many ways can 4 rings be arranged in 5 finger (no finger has more than 1 ring)?
Options:
A)5C4
B)5P4
C)(5C4)4!
D)B and C
E)NONE OF THE ABOVE
Rationale: No. of ways of selecting 4 fingers from 5(considering a non-mutant) = 5C4.
No. of ways of arranging the 4 rings= 4!
Answer: (5C4).4!
ANSWER:C
Answer: C
Question: In 20 years, A will be twice as old as B was 20 years ago. If A is now 10 years older than B, the present age of B is?
Options:
A)35yrs
B)40yrs
C)50yrs
D)60yrs
E)70yrs
Rationale: Let B's present age = x years
Then A's present age = x+10 years
x+10+20 = 2(x-20)
x + 30 = 2x - 40
x = 70years
Answer is E
Answer: E
Question: In a new housing development, trees are to be planted along the sidewalk of a certain street. Each tree takes up one square foot of sidewalk space, and there are to be 9 feet between each tree. How many trees can be planted if the road is 151 feet long?
Options:
A)8
B)9
C)10
D)11
E)16
Rationale: Let T be the number of trees. Then the length required for trees on the sidewalk will be 1*T= T
To maximize the number of trees, the number of 14 feet spaces between trees should be 1 less than total number of trees.
For example, If there are 3 trees, then there should be 2 spaces between them.
So the number of 9 feet spaces will be T-1. Then, the length of sidewalk required for 9 feet spaces will be 9*(T-1)
It is given that total lenght of sidewalk is 151 feet.
or 9(T-1)+T = 151
or 9T-9+T = 151
or 10T = 160
or T=16
Answer:- E
Answer: E
Question: If the number 517*326 is completely divisible by 7, then the smallest whole number in the place of * will be:
Options:
A)3
B)1
C)2
D)4
E)5
Rationale: Sum of digits = (5 + 1 + 7 + x + 3 + 2 + 6) = (24 + x), which must be divisible by 7.
x = 4.
D
Answer: D
Question: What approximate value should come in place of question mark (?) in the following equation?
of 857 of 14% – 5.6 × 12.128 = ?
Options:
A)48
B)36
C)60
D)52
E)46
Rationale: ? = 857 of 14% – 5.6 × 12.128
≈ 857 of 14% – 5.6 × 12 ≈ 120 – 67 ≈ 52
Answer D
Answer: D
Question: How many numbers greater than 5000 can be formed with four of the digits 3, 4, 5, 6, 7 where no digit can be repeated.
Options:
A)62
B)72
C)82
D)90
E)95
Rationale: 3*4*3*2=72
ANSWER:B
Answer: B
Question: Find the area of a rhombus whose side is 25 cm and one of the diagonals is 32 cm?
Options:
A)276 sq.cm
B)268 sq.cm
C)640 sq.cm
D)297 sq.cm
E)600 sq.cm
Rationale: Consider the rhombus ABCD. Let the diagonals intersect at E. Since diagonals bisect at right angles in a rhombus.
BE2 + AE2 = AB2
252 = 152 + AE2 AE = √(625 - 225)
= √400 = 20,
AC = 20 + 20 = 40 cm.
Area of a rhombus
= 1/2 * d1d2
= 1/2 * 40 * 32
= 640 sq.cm.
Answer:C
Answer: C
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:
Options:
A)31 km/hr.
B)32 km/hr.
C)34 km/hr.
D)35 km/hr.
E)36 km/hr.
Rationale: Let the speed of each train be x m/sec.
Then, relative speed of the two trains = 2x m/sec.
So, 2x = (120 + 120)/12
2x = 20
x = 10.
Speed of each train = 10 m/sec = 10 x 18/5 km/hr = 36 km/hr.
answer :E
Answer: E
Question: By selling a bat for Rs.450/- a man loses 10% what is that bat cost price
Options:
A)s.600/-
B)s.500/-
C)s.700/-
D)s.780/-
E)s.800/-
Rationale: 90 % ------> 450 (90 * 5 = 450)
100 % ------>500 (100 * 5 = 500)
Cost price = Rs.500/-
B)
Answer: B
Question: The sum of the first 40 positive even integers is 1,640. What is the sum of the first 40 odd integers?
Options:
A)1500
B)1600
C)1400
D)1200
E)1000
Rationale: Sum of first n even numbers = n(n+1) =1640
Sum of first n odd numbers = n^2 = 40*40 = 1600 (here n=40)
Answer : B
Answer: B
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 42, the dividend is:
Options:
A)5330
B)5336
C)5343
D)4452
E)5350
Rationale: Divisor = (5 * 42) = 210
= 10 * Quotient = Divisor
=> Quotient = 210/10 = 21
Dividend = (Divisor * Quotient) + Remainder
Dividend = (210 * 21) + 42 = 4452.
D
Answer: D
Question: If a = (1/2)b and c = 8a, then which of the following represents the average (arithmetic mean) of a, b, and c, in terms of a ?
Options:
A) a + 4
B) (11/3)a
C) 4a
D) (4 1/7)a
E) (7 1/4)a
Rationale: Official Answer: B
The average of the three variables isa + b + c/3. However, we need to solve in terms of a, which means we must convert b and c into something in terms of a.
Were told that a =1/2b, which is equivalent to b = 2a. We can plug that in and simplify the average to:a + 2a + c/3
We also know that c = 8a, which we can plug directly into the average expression:
a + 2a + 8a/3
= 11a/3=(11/3)a , choiceB.
Answer: B
Question: An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
Options:
A)33 1/9%
B)33 1/2%
C)33 1/3%
D)33 5/3%
E)35 1/3%
Rationale: 675 ---- 225
100 ---- ? => 33 1/3%
Answer:C
Answer: C
Question: 5358 x 56 = ?
Options:
A)272258
B)272358
C)300048
D)274258
E)274358
Rationale: 5358 x 51	= 5358 x (50 + 6)
= 5358 x 50 + 5358 x 6
= 267900 + 32148
= 300048.
C)
Answer: C
Question: If @ is a binary operation defined as the difference between an integer n and the product of n and 5, then what is the largest positive integer n such that the outcome of the binary operation of n is less than 10?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: the product of n and 5 =5n..
the difference between an integer n and the product of n and 5=5n-n=4n..
the outcome of the binary operation of n is less than 10?
so 4n<10...
max value that n can take as an integer is 2
ANSWER:B
Answer: B
Question: If 5x = 3y and xy ≠ 0, what is the ratio of 1/5*x to 1/6*y ?
Options:
A) 25/6
B) 36/25
C) 18/25
D) 5/6
E) 25/36
Rationale: 5x = 3y => x/y = 3/5
1/5*x to 1/6*y = x/y * 6/5 =(3/5)* (6/5)=18/25
Ans: C
Answer: C
Question: In a group of cows and chickes, the number of legs was 14 more than twice the number of heads . the number of cows was:
Options:
A)7
B)5
C)11
D)12
E)14
Rationale: no of cows x and their legs 4x, no of chicke y and their legs 2y, total no of legs= 4x + 2y, total nof heads = x + y, the no of legs was 14 mor than twice the number of heads. 2x + 2y +14 = 4x + 2y, 14= 4x-2x+ 2y -2y, therefore, 14 = 2x , x = 7, correct answer : (A)
Answer: A
Question: The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles.
Options:
A)3566
B)5467
C)4132
D)3526
E)3782
Rationale: Let the radii of the smaller and the larger circles be s m and l m respectively.
2∏s = 264 and 2∏l = 352
s = 264/2∏ and l = 352/2∏
Difference between the areas = ∏l2 - ∏s2
= ∏{1762/∏2 - 1322/∏2}
= 1762/∏ - 1322/∏
= (176 - 132)(176 + 132)/∏
= (44)(308)/(22/7) = (2)(308)(7) = 4312 sq m
Answer: Option C
Answer: C
Question: Arun obtained 76, 65, 82, 67 and 85 marks (out in 100) in English, Mathematics, Chemistry, Biology and Physics. What is his average mark?
Options:
A)53
B)54
C)72
D)75
E)78
Rationale: Explanation:
Average mark = 76+65+82+67+85/5=375/5=75
Answer: Option D
Answer: D
Question: How many 6 digit number contain number 4 ?
Options:
A)317608
B)327608
C)337608
D)427608
E)357608
Rationale: total 6 digit no. = 9*10*10*10*10*10 = 900000
not containing 4 = 8*9*9*9*9*9 = 472392
total 6 digit number contain 4 = 900000 - 472392 = 427608
ANSWER:D
Answer: D
Question: Baseball's World Series matches 2 teams against each other in a best-of-seven series. The first team to win four games wins the series and no subsequent games are played. If you have no special information about either of the teams, what is the probability w that the World Series will consist of fewer than 7 games?
Options:
A) 12.5%
B) 25%
C) 31.25%
D) 68.75%
E) 75%
Rationale: In order to determine the probability that the World Series will last less than 7 games, we can first determine the probability w that the World Series WILL last exactly 7 games and then subtract this value from 1.
In order for the World Series to last exactly 7 games, the first 6 games of the series must results in 3 wins and 3 losses for each team.
Let's analyze one way this could happen for Team 1:
Game 1 Game 2 Game 3 Game 4 Game 5 Game 6
T1 Wins T1 Wins T1 Wins T1 Loses T1 Loses T1 Loses
There are many other ways this could happen for Team 1. Using the permutation formula, there are 6!/(3!)(3!) = 20 ways for Team 1 to win 3 games and lose 3 games in the first 6 games.
Logically, there are also 20 ways for Team 2 to win 3 games and lose 3 games in the first 6 games.
Thus, there are a total of 40 ways for the World Series to last the full 7 games.
The probability that any one of these 40 ways occurs can be calculated from the fact that the probability of a team winning a game equals the probability of a team losing a game = 1/2.
Given that 7 distinct events must happen in any 7 game series, and that each of these events has a probability of 1/2, the probability that any one particular 7 game series occurs is.
Since there are 40 possible different 7 game series, the probability that the World Series will last exactly 7 games is:
Thus the probability that the World Series will last less than 7 games is 100% - 31.25% = 68.75%.
The correct answer is D.
Answer: D
Question: A mixture of 70 liters of wine and water contains 10% water. How much water must be added to make water 12 ½% of the total mixture?
Options:
A)6 liters
B)8 liters
C)4 liters
D)2 liters
E)1 liters
Rationale: 70 * (10/100) = 7
Wine Water
87 1/2% 12 1/2%
87 1/2% ------- 63
12 1/2% -------? => 9-7=2
Answer: D
Answer: D
Question: If x^2+(1/x^2)=7, x^4+(1/x^4)=?
Options:
A)10
B)47
C)12
D)14
E)15
Rationale: -> x^4+(1/x^4)=(x^2)^2+(1/x^2)^2=(x^2+1/x^2)^2-2x^2(1/x^2)=7^2-2=47.
Thus, the answer is B.
Answer: B
Question: A man ordered 4 pairs of black socks and some pair of brown socks. The price of a black socks is double that of a brown pair, while preparing the bill the clerk interchanged the number of black and brown pairs by mistake which increased the bill by 50%.The ratio of the number of black and brown pairs of socks in the original order was
Options:
A)1:4
B)1:2
C)1:3
D)1:5
E)1:7
Rationale: Let the price of a pair of brown socks=x, then price of a pair of black socks=2x
If in original order there are 'a' pairs of brown socks, then total price= 4*2x + a*x
With interchanging number of black and brown pairs, new price=a*2x + 4*x
Given new price is 50% more than the original, So a*2x+4*x= (150/100)(4*2x+a*x)
=> 2ax+4x= (3/2)(8x+ax)
=> 4ax - 3ax= 16x
=> a=16 = original number of pairs of brown socks
So ratio of number of black and brown pairs of socks in original order= 4:16 =1:4
ANSWER:A
Answer: A
Question: A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
Options:
A)10
B)20
C)30
D)40
E)15
Rationale: C= 1/2-1/4-1/5
=1/20
=20days
ANSWER B
Answer: B
Question: A alone can complete a work in 16 days and B alone can complete in 12 days. Starting with A they work on alternate days. The total work will be completed in?
Options:
A)12
B)13
C)13 5/7
D)13 ¾
E)None of these
Rationale: Explanation:
(A+B)’s 2 day work = 1/16 + 1/12 = 7/18
work done in 6 pairs of days=7/48 x 6 = 7/8
remaining work = 1/8
work done by A on 13th day =1/16 remaining work = 1/16
on 14th day its B turn 1/12 work is done by B in 1 day 1/16 work is done by B in 12 x 1/16 = 3/4 day
total time taken =13 ¾ days
Answer: Option D
Answer: D
Question: Of a group of people, 10 play piano, 11 play guitar, 14 play violin, 3 play all the instruments, 20 play only one instrument. How many play 2 instruments?
Options:
A)3
B)6
C)9
D)12
E)15
Rationale: Let single piano players = p
Let single guitar players = g
Let single violin players = v
Given, p + g + v + 3 + 20 = 10 + 11 + 14.
Hence, p + g + v = 35 - 23 = 12
ANSWER:D
Answer: D
Question: Jaya invests in a new mutual fund. The fund averages 10% growth annually for the first three years, but it loses 30% of its value in the fourth year. At the end of four years, the value of the mutual fund is approximately what percent of the amount Jaya originally paid?
Options:
A)93%
B)90%
C)88%
D)85%
E)80%
Rationale: Let the initial amount be 100.
Since it grew on constant basis as 10% for three years = 100*1.1^3 = 11*11*1.1 = 132 [Taking 1.1 as 1]
It eroded by 30% = 132 * .7 = 92.something approximated to 93%
So, The correct answer will be (A) 93%
Answer: A
Question: When 1/10 percent of 2,000 is subtracted from 1/10 of 2,000, the difference is
Options:
A) 0
B) 198
C) 450
D) 495
E) 500
Rationale: We can break this problem into two parts:
1) What is 1/10 percent of 2,000?
2) What is 1/10 of 2,000?
To calculate 1/10 percent of 2,000 we must first remember to DIVIDE 1/10 BY 100.
So we have: (1/10)/(100)
To divide a number by 100 means to multiply it by 1/100, so we have:
1/10 x 1/100 = 1/1,000
Thus, 1/10 percent of 2,000 = 1/1,000 x 2,000 =2.
Now let's concentrate on part 2. We need to calculate 1/10 of 2,000. To do this we simply multiply 1/10 by 2,000.
1/10 x 2,000 = 200
The answer to part 1 is 2, and the answer to part 2 is 200. Their difference is 200 – 2 = 198.
Answer B.
Answer: B
Question: A corporation triples its annual bonus to 50 of its employees. What percent of the employees’ new bonus is the increase?
Options:
A)50%
B)662⁄3%
C)100%
D)200%
E)300%
Rationale: Let the annual bonus be X.
A corporation triples its annual bonus.
So new bonus = 3X.
Increase = 3X-X =2X
The increase is what percent of the employees’ new bonus
= (2X/3X)*100
= 66 2/3%
Hence B.
Answer: B
Question: If 4-X < (2+5X)/3, which of the following is correct?
Options:
A)X < -5.
B)X > -5.
C)X > 5/4.
D)-5 < X < 0.
E)0 < X < 5.
Rationale: 4-X < (2+5X)/3
12-3X < 2+ 5X
10 < 8X
10/8<X
5/4<X
C is the answer
Answer: C
Question: If the average (arithmetic mean) of a list of numbers is 12 and the standard deviation of that list of numbers is 1.3, then which of the following numbers is more than two standard deviations from the mean?
I. 13.5
II. 12.3
III. 9.3
Options:
A)I only
B)I and II only
C)II only
D)III only
E)I and III only
Rationale: Mean = 12
SD = 1.3
2 SD above mean = 12+2*1.3 = 14.6
2 SD below mean = 12-2*1.3 = 9.4
12.3 and 13.5 lies in the range of 2SD from mean
Answer: Option D
Answer: D
Question: If anangletis defined as 1 percent of 1 degree, then how many anglets are there in a quarter circle?
Options:
A)0.36
B)3.6
C)9000
D)3,600
E)36,000
Rationale: 1 degree * 1/100 = 1 anglet
So 1 degree = 100 anglets
=> 90 degrees = 9000 anglets
Answer - C
Answer: C
Question: the hiker walking at a constant rate of 4 miles per hour is passed by a bike traveling in the same direction along the same path at 20 miles per hour. the bike stops to wait for the hiker 5 minutes after passing her, while the hiker continues to walk at her constant rate, how many minutes must the bike wait until the hiker catches up?
Options:
A)16
B)14
C)10
D)15
E)20
Rationale: After passing the hiker the cyclist travels for 5 minutes at a rate of 20 miles/hour.
In those 5 mins the cyclist travels a distance of 5/3 miles.
In those 5 mins the hiker travels a distance of 1/3 miles.
So the hiker still has to cover 4/3 miles to meet the waiting cyclist.
The hiker will need 1/3 hours or 20 mins to cover the remaining 4/3 miles.
So the answer is E.
Answer: E
Question: A box contains eight bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that at least one bulb is good?
Options:
A)13/16
B)1/2
C)15/16
D)11/16
E)9/16
Rationale: Required probability
= 1 - 1/16
= 15/16
Answer: C
Answer: C
Question: A tap can fill a tank in 14 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely?
Options:
A)11 hrs 45 mins
B)12 hrs 45 mins
C)13 hrs 45 mins
D)14 hrs 45 mins
E)15 hrs 45 mins
Rationale: Time taken by one tap to fill the tank = 7 hrs.
Part filled by the taps in 1 hour = 4 * 1/14 = 2/7
Remaining part = 1 - 1/2 = 1/2
2/7 : 1/2 :: 1 : x
x = 1/2 * 1 * 7/2 = 7/4 = 105 mins = 1 hr 45 mins
So, total time taken = 15 hrs 45 mins
ANSWER: E
Answer: E
Question: A and B invests Rs.1500 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
Options:
A)9:5
B)9:8
C)9:2
D)9:9
E)9:16
Rationale: (1.5*6 + 3*6): (4*12)
27:48 =>
9:16
Answer:E
Answer: E
Question: In a factory there are three types of machine M1, M2 and M which produces 25%, 35% and 40% of the total products respectively. M1, M2 and M3 produces 2%, 4% and 5% defective products, respectively. what is the percentage of non-defective products ?
Options:
A)89%
B)97.1%
C)96.1%
D)86.1%
E)None of these
Rationale: Solution: Non-defective products,
{[(25*0.98)+(35*0.96)+(40*0.95)]/100}*100
= 96.1%.
Answer: Option C
Answer: C
Question: A fruit juice is composed of pineapple, strawberry juice, and cherry juice. How many ml of cherry juice is required to make 6 liters of fruit juice containing twice as much pineapple juice as strawberry juice and three times as much strawberry juice as cherry juice? (1L=1000ml)
Options:
A)1800 ml
B)600 ml
C)1000 ml
D)200 ml
E)50 ml
Rationale: 1L=1000ml
6L=6000ml
pineapple=2 strawberry
strawberry=3 cherry
pineapple+strawberry+cherry=6,000
2 strawberry+strawberry+1/3 strawberry=6,000
10 strawberry=18,000
strawberry=18,00 ml
Answer A
Answer: A
Question: Find the number of square tiles to cover the floor of a room measuring 6.5 m * 9.5 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
Options:
A)422
B)476
C)429
D)864
E)413
Rationale: Floor area to be covered by tiles = 6 * 9 = 54
tiles area = 0.25 * 0.25 =0.0625
No. of tiles = 54/0.0625 = 864
Answer : D
Answer: D
Question: The average of nine numbers is 14. The average of first four numbers is 11.5 and the average of last four numbers is 16.5. What is the middle number?
Options:
A)14
B)16
C)15
D)18
E)17
Rationale: The total of nine numbers = 9X14 = 126
The total of first 4 and last 4 numbers is = 4 X 11.5+4 X 16.5 = 112
So, the middle number is (126 - 112 ) = 14
A
Answer: A
Question: There are 8 balls in a bucket, 4 balls are blue and 4 balls are red. If two ball chosen randomly , how many chances there are at least one blue ball will present?
Options:
A)21
B)25
C)16
D)22
E)20
Rationale: Two ball will be chosen. At least 1 blue ball
Total ways = 8C2 = 28
Total without any blue ball = 4C2 = 6
Hence ways in which at least one blue will be present = 28 - 6 = 22
Correct option: D
Answer: D
Question: John bought a shirt on sale for 25% off the original price and another 25 % off the discounted price. If the final price was $16, what was the price before the first discount?
Options:
A)$28.44
B)$18.44
C)$48.44
D)$38.44
E)$68.44
Rationale: let x be the price before the first discount. The price after the first discount is
x - 25%x (price after first discount)
A second discount of 25% of the discounted price after which the final price is 16
(x - 25%x) - 25%(x - 25%x) = 16
Solve for x
x = $28.44
correct answer A
Answer: A
Question: A salt manufacturing company produced a total of 4000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?
Options:
A)5520
B)2789
C)5550
D)2889
E)4550
Rationale: Total production of salt by the company in that year = 4000 + 4100 + 4200 + .... + 5100 = 54600.
Average monthly production of salt for that year = 54600/12 = 4550.
Answer: E
Answer: E
Question: A can do a piece of work in 15 days and B in 20 days. They began the work together but 5 days before the completion of the work, A leaves. The work was completed in?
Options:
A)11 2/3 days
B)11 3/7 days
C)8 days
D)6 days
E)5 days
Rationale: A's 1 day's work =1/15
B's 1 day's work =1/20
5 days before the completion of the work, A leaves=X-5/15
(x â€“ 5)/15 + x/20 = 1
x = 11 3/7 days
Answer: Option B
Answer: B
Question: A man performs 3/5 of the total journey by rail, 17/20 by bus and the remaining 6.5km on foot. His total journey is?
Options:
A)130
B)152
C)225
D)260
E)180
Rationale: Let the total journey be x km
then, (3x/5)+(7x/20)+6.5 = x
12x+7x+20*6.5 = 20x
x = 130km
Answer is A
Answer: A
Question: Stuart bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price of the sweater was $30, what was the final price of the sweater?
Options:
A)$25.75
B)$35.75
C)$15.75
D)$ 45.75
E)$15.75
Rationale: The price with 30% off
30 - 30% of 30 = 30 - (30 / 100) *30 = 30 - 9 = 21
The price with another 25% off
21 - 25% of 21 = 21 - (25/100)* 21
= 21 - (525 / 100) = 21 - 5.25 = $15.75
correct answer C
Answer: C
Question: What is the perimeter of a square field whose diagonal is 4√2?
Options:
A)16 m
B)32 m
C)27 m
D)26 m
E)76 m
Rationale: 4a
= 16 m
Answer: A
Answer: A
Question: What percent of 120 are 90?
Options:
A)12
B)33
C)75
D)88
E)11
Rationale: (?% /100) * 120 = 90
? = 75%
Answer:C
Answer: C
Question: Mr. Zimmer has 237 papers to hand out to his class. The class consists of 30 students, and each student will need 8 papers. How many more papers will he need to be able to give 8 papers to each 30 student?
Options:
A)3
B)7
C)21
D)78
E)4
Rationale: 8*30=240, not 237.
Therefore 3 papers will need to be added in order for 30 students to get 8 papers each.
Therefore A is correct
Answer: A
Question: |-4| (|-25|-|5|)= ??
Source: Preparation Material MBA Center
Options:
A)80
B)100
C)160
D)175
E)200
Rationale: Absolute value will turn negatives into their positive 'equivalents', and will leave positives unchanged, so |-4| = 4, |-25| = 25, and |5| = 5. Getting rid of our absolute values we have:
|-4| (|-25|-|5|) = (4) (25 - 5) = 4*20 = 80
Answer: A
Question: x is what percent of y percent of z, in terms of x, y and z? p be the value expressed in terms of x,y and z.
Options:
A)xyz
B)1/xyz
C)10,000x/yz
D)1000*xyz
E)100x/yz
Rationale: Algebraically, y% of z is just (y/100)*z, or yz/100. So we want to answer the question: x is what percent of yz/100? Say x is equal to p% of yz/100; then we have:
x = (p/100)*(yz/100)
10,000x/yz = p
C
Answer: C
Question: A sells his goods 50% cheaper than B but 50% dearer than C. The cheapest is?
Options:
A)33.8
B)32.3
C)33.6
D)33.3
E)31.3
Rationale: Let B = 100
A = 50
C * (150/100) = 50
3C = 100
C = 33.3 then 'C' Cheapest
Answer: C
Answer: C