mathewhe/aqua_rat huggingface dataset:
Question: What is the two-digit number whose first digit is a and the second digit is b?. The number is greater than 9.
The number is multiple of 51.
The sum of the digits a and b is 6.
(A) I alone sufficient while II alone not sufficient to answer
(B) II alone sufficient while I alone not sufficient to answer
(C) Either I or II alone sufficient to answer
(D) Both I and II are not sufficient to answer
(E) Both I and II are necessary to answer
Rationale: From statement I:
A two digit number, greater than 9 and multiple of 51 should be 51 itself.
Because, 2 x 51 = 102 (3 digit number). Therefore, I alone sufficient to answer.
From statement II:
A two digit number, greater than 9 and sum of the digit is 6.
It can be 15, 24, 33, 42, 51. So we cannot determine the required answer from the statement II alone.
Thus, I alone give the answer while II alone not sufficient to answer.
ANSWER A
Answer: (A) I alone sufficient while II alone not sufficient to answer
Question: A certain company had a total annual expenditure of 1.26∗10^7 on employee salaries last year. If the company employed 420 people, what was the average employee salary?
(A) $20,000
(B) $25,000
(C) $35,000
(D) $30,000
(E) $45,000
Rationale: Given: Total annual expenditure of 1.26∗10^7 on employee salaries
Total employees = 420
Observe that 420*3 = 1260
Therefore try to bring the numerator in terms of 1260
Average salary = (1260*10^4) /420 = 3*10^4 = 30,000
Option D
Answer: (D) $30,000
Question: A fruit-salad mixture consists of apples, peaches, and grapes in the ratio 9:6:5, respectively, by weight. If 40 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes?
(A) 15
(B) 12
(C) 8
(D) 6
(E) 4
Rationale: We can first set up our ratio using variable multipliers. We are given that a fruit-salad mixture consists of apples, peaches, and grapes, in the ratio of 6:5:2, respectively, by weight. Thus, we can say:
apples : peaches : grapes = 6x : 5x : 2x
We are given that 39 pounds of the mixture is prepared so we can set up the following question and determine a value for x:
9x + 6x + 5x = 40
20x = 40
x = 2
Now we can determine the number of pounds of apples and of grapes.
pounds of grapes = (5)(2) = 10
pounds of apples = (9)(2) = 18
Thus we know that there are 18 – 10 = 8 more pounds of apples than grapes.
Answer is C.
Answer: (C) 8
Question: A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?
(A) 388898
(B) 2777
(C) 2928
(D) 15000
(E) 2882
Rationale: The ratio of their profits A:B = 8:12 = 2:3
Share of A in the total profit = 2/5 * 25000 = Rs.10000 Share of A in the total profit = 3/5 * 25000 = Rs.15000.Answer: D
Answer: (D) 15000
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
(A) 40
(B) 41
(C) 45
(D) 49
(E) 46
Rationale: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 2/25 = 40 sec
Answer: Option A
Answer: (A) 40
Question: Taylor works in a bakery. He made cookies that cost $2.50 and made $350. How many customer did he have?
(A) 180 customers
(B) 185 customers
(C) 250 customers
(D) 100customers
(E) 140 customers
Rationale: A cookie costs $2.50 adding another one is $5. 350 divided by 5 is 70 x 2 is 140. He had 140 customers. The correct answer is E.
Answer: (E) 140 customers
Question: A person purchases 90 clocks and sells 40 clocks at a gain of 10% and 50 clocks at a gain of 20%. If he sold all of them at a uniform profit of 15%, then he would have got Rs. 40 less. The cost price of each clock is?
(A) 16
(B) 26
(C) 80
(D) 26
(E) 92
Rationale: Let C.P. of clock be Rs. x.
Then, C.P. of 90 clocks = Rs. 90x.
[(110% of 40x) + (120% of 50x)] - (115% of 90x) = 40
44x + 60x - 103.5x = 40
0.5x = 40 => x = 80
Answer:C
Answer: (C) 80
Question: The weight of a glass of jar is 25% of the weight of the jar filled with coffee beans. After some of the beans have been removed, the weight of the jar and the remaining beans is 60% of the original total weight. What fraction part of the beans remain in the jar?
(A) 1/5
(B) 1/3
(C) 2/5
(D) 1/2
(E) 7/15
Rationale: Let weight of jar filled with beans = 100 g
Weight of jar = 25 g
Weight of coffee beans = 75 g
Weight of jar and remaining beans = 60 g
Weight of remaining beans = 35 g
Fraction remaining = 35/75 = 7/15
Answer is E.
Answer: (E) 7/15
Question: A Taxi Company marks their tickets 30% more than the real price and allows 30% discount. Company's loss is:
(A) 6%
(B) 7%
(C) 8%
(D) 9%
(E) None of these
Rationale: Let the CP = 100 Rs.
Mark Price = 130
Discount = 30%
Selling price=70/100 Ã— 130
Hence loss = 9%
Answer: D.
Answer: (D) 9%
Question: We have a rectangular metallic piece of paper that covers exactly the area of a cube. The length of the piece of paper is 144 inches and the width is 72 inches. What is the volume of the cube in cubic feet is 1 feet is 12 inches?
(A) a 216
(B) b 196
(C) c 170
(D) d 140
(E) e 121
Rationale: l = 144 /12 = 12 ft
w = 72 / 12 = 6 ft
Area of paper = 72
Area of cube = 12 * side^2
side of cube = 6
V of cube = 216
Answer: (A) a 216
Question: A man is 24 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?
(A) 23 years
(B) 22 years
(C) 21 years
(D) 20 years
(E) 30 years
Rationale: Let present age of the son = x years
Then present age the man = (x + 24) years
Given that in 2 years man's age will be twice the age of his son
x = 22
ANSWER B
Answer: (B) 22 years
Question: A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?
(A) 31/115
(B) 36/145
(C) 1/214
(D) 2/213
(E) 3/271
Rationale: The probability that first ball is white:
=12C130C1=12C130C1
=1230=1230
=25=25
Since, the ball is not replaced; hence the number of balls left in bag is 29.
Hence, the probability the second ball is black:
=18C129C1=18C129C1
=1829=1829
Required probability,
=(25)×(1829)=(25)×(1829)
=36/145
B
Answer: (B) 36/145
Question: The sides of a cube measures 8cm. If the surface area of the cube is the same as a ball, what is the radius of the ball? Round to the nearest whole number.
(A) 3
(B) 8
(C) 7
(D) 6
(E) 5
Rationale: First calculate the surface area of the cube. The cube is made of 6 squares with the sides measuring 8cm each. The surface area of 1 side of the cube is 64cm. Multiply the surface area of the 1 side by 6 will give you the cube's total surface area. The cubes total surface area is 384cm. Now we know that the surface area of the ball is 384cm. To find out the surface area of a sphere you need to square the radius, then multiply by Pi, and multiply by the number 4. Going backwards to find the radius - you will need to dived the surface area by 96. Then divide by Pi. Then determine the square root of the answer. The radius is 5.527. Rounding to the nearest whole number the radius is 6. The correct answer is (D).
Answer: (D) 6
Question: A person starts walking at a speed of 5km/hr through half the distance, rest of the distance he
covers with aspeed 2km/hr. Total time of travel is 9 hours. What is the maximum distance he
can cover?
(A) 20km
(B) 40km
(C) 60km
(D) 80km
(E) 90km
Rationale: t=d/s, so
9=x/2*1/5+x/2*1/2(because half distance with 5 km/ph, and remaining half with 2km/hr)
9=x(18/40)
x=20km
ANSWER:A
Answer: (A) 20km
Question: Think of a number, divide it by 4 and add 9 to it. The result is 15. What is the number thought of?
(A) 24
(B) 77
(C) 297
(D) 267
(E) 29
Rationale: ANSWER: A
Answer: (A) 24
Question: Can you find the missing number in the sequence given below
11 19 27 12 20 ? 13 21 29 14 22 30
(A) 21
(B) 20
(C) 28
(D) 23
(E) 24
Rationale: Solution:
28
Explanation :
The sequence is given in the puzzle is :
11 19 27 12 20 ? 13 21 29 14 22 30
Let's break the given series as below:
11 19 27
12 20 ?
13 21 29
14 22 30
Now read the number from left hand side from top to bottom as :
So the number that will replace '?' is 28.
Answer C
Answer: (C) 28
Question: How many odd numbers between 10 and 1400 are the squares of integers?
(A) 14
(B) 17
(C) 20
(D) 23
(E) 26
Rationale: The numbers are the squares of 5, 7, 9,...,37 which includes 17 numbers.
The answer is B.
Answer: (B) 17
Question: Percentage of profit earned by selling a book for $1320 is equal to the percentage loss incurred by selling the same book for $880. What price should the book be sold to make 30% profit?
(A) $950
(B) $1000
(C) $1250
(D) $1430
(E) $1620
Rationale: Let C.P. be Rs. x.
Then,(1320 - x)	x 100 =(x - 880)	x 100
1320 - x = x - 880
2x = 2200
x = 1100
Required S.P. = 130% of 1100 = 1.30	x 1100 = $1430
Answer : D
Answer: (D) $1430
Question: Two taps can separately fill a cistern 5 minutes and 7.5 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
(A) 3.8
(B) 3.7
(C) 3.6
(D) 3.9
(E) 3.5
Rationale: 1/5 + 1/7.5 - 1/x = 1/18
x = 3.6
Answer:C
Answer: (C) 3.6
Question: When Rahul was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Rahul's brother is 6 years older than him and his mother is 3 years younger than his father, how old was Rahul's sister when he was born ?
(A) 7 years
(B) 10 years
(C) 14 years
(D) 19 years
(E) 20 years
Rationale: Explanation:
When Rahul was born, his brother's age = 6 years; his father's age = (6 + 32) years = 38 years, his mother's age = (38 - 3) years = 35 years; his sister's age = (35 - 25) years = 10 years.
Answer: Option B
Answer: (B) 10 years
Question: If n = 2ab, where a and b are distinct prime numbers greater than 2, how many different positive even divisors does n have, including n ?
(A)  Two
(B)  Three
(C)  Four
(D)  Six
(E)  Eight
Rationale: Answer - 'C' - Four.
For a number 2ab with primes ab,there will be four even divisors - 2,2*a,2*b,2*a*b
Answer: (C)  Four
Question: If -3x < 9, which of the following must be true?
(A) x < -3
(B) x < -2
(C) x > -3
(D) x > -2
(E) x > 0
Rationale: -3x < 9
=> -x < 3
=> x > - 3
Answer C
Answer: (C) x > -3
Question: A scooter costs 50,000 when it is brand new. At the end of each year, its value is only 80% of what it was at the beginning of the year. What is the value of the scooter at the end of 3 years?
(A) 10,000
(B) 12,500
(C) 12,800
(D) 12,000
(E) 25,600
Rationale: After first year, the value of the scooter = 40,000
After second year, the value of scooter = 32,000
After third year, the value of scooter = 25,600
Answer E
Answer: (E) 25,600
Question: In a recent election, Ms. Robbins received 4,000 votes cast by independent voters, that is, voters not registered with a specific political party. She also received 10 percent of the votes cast by those voters registered with a political party. If N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Ms. Robbins received?
(A) 0.06N + 4,000
(B) 0.1N + 7,200
(C) 0.4N + 7,200
(D) 0.1N + 8,000
(E) 0.06N + 8,000
Rationale: total vote = N
vote cast by independent voters = 0.4 N
vote cast by registered voters = 0.6 N
vote received by Ms. Robbins = 4000 + 10% of vote be registered voters = 4000 + 0.06 N
Answer choice A
Answer: (A) 0.06N + 4,000
Question: A boy goes to his school from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming. The distance between his house and school is?
(A) 3
(B) 4
(C) 6
(D) 5
(E) 7
Rationale: Average speed = (2 * 3 * 2) / (3 + 2) = 12/5 km/hr.
Distance traveled = 12/5 * 5 = 12 km.
Distance between house and school = 12/2 = 6 km.
Answer:C
Answer: (C) 6
Question: A bowl was filled with 10 ounces of water, and 0.004 ounce of the water evaporated each day during a 50-day period. What percent of the original amount of water evaporated during this period?
(A) 0.004%
(B) 0.04%
(C) 0.40%
(D) 2%
(E) 40%
Rationale: Total amount of water evaporated each day during a 50-day period = .004 * 50
=.004 * 100/2
= .4/2
= .2
percent of the original amount of water evaporated during this period = (.2/10) * 100%
= 2 %
Answer D
Answer: (D) 2%
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?
(A) 228
(B) 277
(C) 297
(D) 450
(E) 121
Rationale: 10 * 150 = 1500
3 * 100 + 5 * 150 = 1050
1500 – 1050 = 450.Answer: D
Answer: (D) 450
Question: The greatest number that divides 210, 1200 and 1450 and leaving remainder 6, 10 and 5 respectively is:
(A) 17
(B) 18
(C) 19
(D) 21
(E) 23
Rationale: explanation:
210-6= 204, 1200-10= 1190 and 1450-5= 1445
the highest number that can divide 204, 1190 and 1445 is HCF of numbers.
HCF of 204, 1190,1445 =17
Answer:A
Answer: (A) 17
Question: Grace packed 5 pairs of shoes, 3 pairs of pants, 8 shirts, and 3 jackets for her business trip. If an outfit consists of one of each item of clothing except shirts, of which she will wear 2, how many different outfits A can does Grace have available during her trip?
(A)  2,520
(B)  1,260
(C)  620
(D)  360
(E)  120
Rationale: The idea is to multiply the number of possibilities for each item of clothing with the different items. For the shirts you essentially choose 2 out of 8 so you should use the combination forumla (don't know how to use math symbols here).
This gives you A=5 x 3 x 28 x 3 = 1'260. Hence, solution B is correct.
Answer: (B)  1,260
Question: Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money?
(A) 1500
(B) 2677
(C) 1997
(D) 2677
(E) 1971
Rationale: P = 15(100/10)2 => P = 1500
Answer: A
Answer: (A) 1500
Question: The positive value of x that satisfies the equation (3 + 2x)^5 = (1 + 3x)^4 is between
Bunuel, can you please explain this one?
(A) 0 and 0.5
(B) 0.5 and 1
(C) 1 and 1.5
(D) 1.5 and 2
(E) 2 and 2.5
Rationale: Trial and error would probably be the easiest way to solve this problem. When x is large enough positive number, then because of the exponents (5>4), LHS will be more than RHS (as you increase the positive value of x the distance between the values of LHS and RHS will increase).
Try x=1 --> LHS=3^5=81*3=243 and RHS=4^4=64*4=256, so (1 + 2x)^5 < (1 + 3x)^4. As you can see LHS is still slightly less than than RHS. So, the value of x for which (1 + 2x)^5 = (1 + 3x)^4 is slightly more than 1.
Answer: D.
Answer: (D) 1.5 and 2
Question: If a certain sample of data has a mean of 15.0 and a standard deviation of 2.0, which of the following pairs contain two values that are each at least 2.5 standard deviations from the mean?
(A) (8.0; 16.5)
(B) (8.5; 21.0)
(C) (14.0; 26.5)
(D) (16.5; 26.0)
(E) (21.0; 26.5)
Rationale: 2.5 standard deviation equals to 2.5*2=5;
2.5 standard deviations from the mean, so5 points, from the mean is the range from {mean-5} to {mean+5}, so from 10 to 20.
The correct answer choice must cover all this range: only answer choice B does this.
Answer: B.
Answer: (B) (8.5; 21.0)
Question: A circular well with a diameter of 4 metres , is dug to a depth of 14 metres. What is the volume of the earth dug out?
(A) 32 m3
(B) 36 m3
(C) 40 m3
(D) 44 m3
(E) 176 m3
Rationale: Solution
Volume	= πr2h
‹=› (22 /7 ×2×2×14)m3
‹=›176 m3.
Answer E
Answer: (E) 176 m3
Question: A carpenter is building a frame for a wall painting. The painting is in the shape of a rectangle. If the sides of the rectangle are in the ratio of 3:2 and the shorter side has a length of 18 inches, how many inches of framing material does the carpenter need to frame the painting?
(A) 12
(B) 22 1/2
(C) 37 1/2
(D) 50
(E) 90
Rationale: (18/2) ( 2+3) * 2 = 90=E
Answer: (E) 90
Question: Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time, the third pipe alone can empty the cistern?
(A) 90 min
(B) 100 min
(C) 110 min
(D) 120 min
(E) 130 min
Rationale: 1/50-(1/60+1/75)=-1/100
third pipe can empty in 100 minutes
ANSWER:B
Answer: (B) 100 min
Question: Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
(A) 7 1/2 sec
(B) 7 1/7 sec
(C) 7 8/2 sec
(D) 7 1/9 sec
(E) 7 2/2 sec
Rationale: 70 + 50 = 120 * 5/18 = 100/3 mps
D = 150 + 100 = 250 m
T = 250 * 3/100 = 15/2 = 7 1/2 sec
Answer:D
Answer: (D) 7 1/9 sec
Question: A, B and C rents a pasture for Rs.435. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
(A) 135
(B) 227
(C) 268
(D) 198
(E) 176
Rationale: 12*8 :16*9 = 18*6
8: 12: 9
9/29 * 435 = 135
Answer:A
Answer: (A) 135
Question: According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12 ounce cans of concentrate are required to prepare 120 six-ounce servings of orange juice?
(A) 12
(B) 15
(C) 18
(D) 21
(E) 24
Rationale: 1 X 12 ounce can of concentrate + 3 X 12 ounce cans of water = 48 ounces of the mixture.
48 ounces of mixture gives (48 / 6 ) = 8 servings.
Thus 1 x 12 ounce can of concentrate is used to produce 8 servings of the mixture.
To make 120 servings of the mixture, we need 120 / 8 = 15 cans of the concentrate.
The answer is B.
Answer: (B) 15
Question: If M is the mean of x,y,z ; then what is the mean of x+5,y+5 and z+5
(A) M
(B) 3M
(C) 10M
(D) M+10
(E) M+5
Rationale: If each number is shifted up by 5, the mean also shifts up by 5 since it stays in the middle. The whole set is shifted on the number line so mean will also shift by the same amount.
So new mean is M + 5.
Answer (E)
Answer: (E) M+5
Question: The probability that a number selected at random from the first 50 natural numbers is a composite number is -.
(A) 17/27
(B) 17/25
(C) 17/29
(D) 17/98
(E) 17/20
Rationale: Explanation:
The number of exhaustive events = ⁵⁰C₁ = 50.
We have 15 primes from 1 to 50.
Number of favourable cases are 34.
Required probability = 34/50 = 17/25.
Answer: Option B
Answer: (B) 17/25
Question: If 4 people are selected from a group of 6 married couples, what is the probability that none of them would be married to each other?
(A) 1/33
(B) 2/33
(C) 1/3
(D) 16/33
(E) 11/12
Rationale: Each couple can send only one "representative" to the committee. We can choose 4 couples (as there should be 4 members) to send only one "representatives" to the committee in C46C64 # of ways.
But these 4 chosen couples can send two persons (either husband or wife): 2∗2∗2∗2=242∗2∗2∗2=24.
So # of ways to choose 4 people out 6 married couples so that none of them would be married to each other is: C46∗24C64∗24.
Total # of ways to choose 4 people out of 12 is C412C124.
P=C46∗24C412=1633P=C64∗24C124=1633
Answer: D.
Answer: (D) 16/33
Question: If 12 men or 20 women can do a piece of work in 108 days, then in how many days can 9 men and 12 women together do the work?
(A) 10 days
(B) 30 days
(C) 20 days
(D) 80 days
(E) 40 days
Rationale: D
80 days
Given that 12m = 20w => 3m = 5w
9 men + 12 women = 15 women + 12 women = 27 women
20 women can do the work in 108 days. So, 27 women can do it in (20 * 108) /27 = 80 days.
Answer: (D) 80 days
Question: In a deck of cards there are 48 cards numbered from 1 to 13. There are 8 cards of each number in the deck. If you insert 12 more cards with the number 10 on them and you shuffle the deck really good, what is the probability to pull out a card with a number 10 on it?
(A) 1/4.
(B) 4/17.
(C) 5/29.
(D) 4/13.
(E) 1/3.
Rationale: 8+12 tens/48+12 total cards=20/60=1/3
E
Answer: (E) 1/3.
Question: When a certain number X is divided by 143, the remainder is 45. Which of the following numbers, if added to X, would result in a number divisible by 14?
(A) 7
(B) 21
(C) 34
(D) 8
(E) 55
Rationale: So the number given is N = 143Q + 45
If this number is divided by 13, the remainder would be R[(143Q + 45)/13]
Since 143 is divisible by 13 , the product 143Q gives no remainder
This means the remainder of 45/13 should be the remainder of the entire number N
which is 6
To make it divisible by 13 , the smallest number that can be added = 14 - 6 = 8
Correct Option : D
Answer: (D) 8
Question: The average of 10 numbers is calculated as 5. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Rationale: 10 * 5 + 36 – 26 = 60/10 = 6
ANSWER:E
Answer: (E) 6
Question: On a ferry, there are 27 cars and 13 trucks. The cars have an average mass of 1100 kg and the trucks have an average mass of 3000 kg. What is the average mass of all 40 vehicles on the ferry?
(A) 1515.5
(B) 1616.5
(C) 1717.5
(D) 1818.5
(E) 1919.5
Rationale: The total mass of the vehicles is 27*1100+13*3000=68700
The average mass is 68700/40=1717.5
The answer is C.
Answer: (C) 1717.5
Question: A pump can fill a tank with a water in 2 hours. Because of a leak, it took 3 hours to fill the tank. The leak can drain all the water of the full tank in how many hours?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Rationale: The rate of the pump + leak = 1/3
1/2 - leak's rate = 1/3
leak's rate = 1/2 - 1/3 = 1/6
The leak will empty the tank in 6 hours.
The answer is E.
Answer: (E) 6
Question: Average of 10 two digit positive integer is Z. However, one number AB is taken as BA, then the average increases to Z+2.7. How many set of values for A and B are possible?
(A) 5
(B) 6
(C) 7
(D) 8
(E) 9
Rationale: Explanation :
Total such possible sets = (4,1), (5,2), (6,3), (7,4), (8,5) and (9,6).
(3,0) is not admissible as the numbers are of two digits.
Answer : B
Answer: (B) 6
Question: In a restaurant, the profit is 150% of the cost. If the cost increases by 12% but the selling price remains constant, approximately what percentage of the selling price is the profit?
(A) 30%
(B) 55%
(C) 90%
(D) 100%
(E) None of these
Rationale: Explanation :
Let C.P.= Rs. 100. Then, Profit = Rs. 150, S.P. = Rs. 250.
New C.P. = 112% of Rs. 100 = Rs. 112
New S.P. = Rs. 250.
Profit = Rs. (250 - 112) = Rs. 138.
Required percentage = (138 /250 *100) % = 55 % appox
Answer : B
Answer: (B) 55%
Question: A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?
(A) Rs.1200
(B) Rs.890
(C) Rs.600
(D) Rs.1190
(E) Rs.450
Rationale: Explanation:
S.P. = 85% of Rs. 1400 = Rs.(85/100*1400)=Rs.1190
Answer:D
Answer: (D) Rs.1190
Question: Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased?
(A) 5/7
(B) 2/7
(C) 1/7
(D) 3/7
(E) 6/7
Rationale: Let x be the the cost of the rental car
When 8 persons share equally, share of one person = x/8
When 1 person withdraws and other 7 persons share equally, share of one person = x/7
Increase in the share = x/7−x/8=x/56
Required fraction = (x/56)/(x/8)=1/7
Answer is C.
Answer: (C) 1/7
Question: A car gets 27 miles to the gallon. If it is modified to use a solar panel, it will use only 75 percent as much fuel as it does now. If the fuel tank holds 14 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified?
(A) 120
(B) 126
(C) 132
(D) 138
(E) 144
Rationale: Originally, the distance the car could go on a full tank was 14*27=378 miles.
After it has been modified, the car can go 27/0.75=36 miles per gallon.
On a full tank, the car can go 14*36= 504 miles, thus 126 miles more.
The answer is B.
Answer: (B) 126
Question: Find the roots of quadratic equation: 2x^2 + 5x + 2 = 0?
(A) -2, -1/2
(B) 4, -1
(C) 4, 1
(D) -2, 5/2
(E) 1, 5
Rationale: Explanation:
2x^2 + 4x + x + 2 = 0
2x(x + 2) + 1(x + 2) = 0
(x + 2)(2x + 1) = 0 => x = -2, -1/2
ANSWER:A
Answer: (A) -2, -1/2