question stringlengths 3 1.14k | choices listlengths 4 4 | answer stringclasses 4
values | rationale stringlengths 0 3.68k ⌀ | split stringclasses 1
value | source_dataset stringclasses 3
values | subject null |
|---|---|---|---|---|---|---|
A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months? | [
"18:11",
"18:16",
"18:10",
"14:11"
] | A | A invests Rs.8000 for 18 months, but B invests Rs.8000 for the first 4 months and then withdraws Rs.4000. So, the investment of B for remaining 14 months is Rs.4000 only.
A : B
8000*18 : (8000*4) + (4000*14)
14400 : 88000
A:B = 18:11
Answer: A | train | aqua_rat | null |
You are gifted a coin that is dated 378 B.C. How much worth the coin is as per your assumption? | [
"1",
"0",
"5",
"6"
] | B | Solution:
The worth of that coin is zero. This is because the B.C. and A.D. dating system was not empowered till the year 525. So the coin is probably fake.
Answer B | train | aqua_rat | null |
Dustin's Pizza Shop sells 3 sizes of pizza: Small, Medium, and Large. A Small pizza contains 4 slices, A Medium Pizza contains 6 slices and a Large pizza contains 10 slices. Lisa, a customer having a birthday party, visits the shop with her 2 daughters and 9 friends. To ensure each of the visitors receive an equal amou... | [
"1 Small and 1 Large",
"4 Small and 1 Medium",
"4 Medium and 1 Large",
"1 Medium and 3 Large"
] | D | There are 12 total customers (Lisa, 2 daughters, and 9 friends) The correct combination must be divisible by 12 with no remainder.
A= 14 Slices (1 slice per guest with 2 slices leftover)
B= 22 Slices (Each kid would have 2 slices, but Lisa would have none)
C= 32 Slices (8 visitors would have 3 slices, but 4 visitors wo... | train | aqua_rat | null |
If s,u, and v are positive integers and 2s=2u+2v, which of the following must be true?
i. s=0
ii. u is not equal to v
iii.u > v | [
"None",
"II only",
"III only",
"II and III"
] | A | Notice two things: 1. we are asked to find out which of the following MUST be true, not COULD be true and 2. s, u, and v are positive integers.
Given: 2s=2u+2v --> s=u+v. Now, since s, u, and v are positive integers then s is more than either u or v, so I is never true and III is always true. As for II: it's not necess... | train | aqua_rat | null |
Which of the following equations describes a line that is perpendicular to y = x/2 + 6? | [
"y = −1 − 2x",
"y = -3x",
"y = 6x-1",
"y = 1/x + 6"
] | A | Two perpendicular lines have slopes that are inverse reciprocals of each other.
The slope of y = x/2 + 6 is 1/2 so the slope of a perpendicular line will be -2.
The answer is B. | train | aqua_rat | null |
Three friends had dinner at a restaurant. When the bill was received, Amita paid 2/3 as much as Veena paid and Veena paid 1/2 as much as Tanya paid. What faction of the bill did Veena pay ? | [
"3/11",
"12/13",
"5/8",
"9/8"
] | A | let veena paid x,
so anita paid 2/3 x,
and tanya paid 2x,
so total bill paid is given by
x+(2/3)x +2x = 1
i.e. x=3/11
ANSWER:B | train | aqua_rat | null |
40% of Ram's marks is equal to 20% of Rahim's marks which percent is equal to 30% of Robert's marks. If Robert's marks is 80, then find the average marks of Ram and Rahim? | [
"60",
"80",
"90",
"100"
] | C | Given, 40% of Ram's marks = 20% of Rahim's marks = 30% of Robert's marks.
Given, marks of Robert = 80
30% of 80 = 30/100 * 8 = 24
Given, 40% of Ram's marks = 24.
=> Ram's marks = (24 * 100)/40 = 60
Also, 20% of Rahim's marks = 24
=> Rahim's marks = (24 * 100)/20 = 120
Average marks of Ram and Rahim = (60 + 120)/2 = 90.... | train | aqua_rat | null |
An Olympic diver received the following scores: 7, 4, 8, 10, and 6. The standard deviation of her scores is in which of the following ranges? | [
"0-1.9",
"2-3.9",
"7 – 7.9",
"8 – 9.9"
] | B | 7+4+8+10+6/5 =7
|7-7| = 0 0^2 = 0
|4-7| = 3^2 = 9
|8-7| = 1^2 =1
|10-7| = 3^2 = 9
|6-7| = 1^2 = 1
SD = sqrt 20/5 = 2
Answer : B | train | aqua_rat | null |
A 10-by-7 inch piece of paper is used to form the lateral surface of a cylinder. If the entire piece of paper is used to make the lateral surface, which of the following must be true of the two possible cylinders that can be formed? | [
"The volume of the cylinder with height 7 is 70/pi cubic inches greater than the volume of the cylinder with height 10.",
"The volume of the cylinder with height 10 is 70pi cubic inches greater than the volume of the cylinder with height 6.",
"The volume of the cylinder with height 7 is 70pi cubic inches greate... | A | Pretty straightforward. Plug in the values to compute the volume of the cylinder. Keep in mind 7 and 10 are the circumference of the base and not the radius. B is the right answer. | train | aqua_rat | null |
In how many different ways can 7 girls and 7 boys form a circle such that the boys and the girls alternate? | [
"2880211",
"3628800",
"36286200",
"None of these"
] | B | Explanation :
In a circle, 7 boys can be arranged in 6! ways
Given that the boys and the girls alternate.
Hence there are 7 places for girls which can be arranged in 7! ways
Total number of ways = 6! x 7! = 720 x 5040 = 3628800. Answer : Option B | train | aqua_rat | null |
On 8th march,2005,Wednesday falls. What day of the week was it on 8th march,2004? | [
"28",
"00",
"27",
"01"
] | D | Answer:D | train | aqua_rat | null |
Two employees X and Y are paid a total of Rs. 638 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week? | [
"s.250",
"s.290",
"s.299",
"s.300"
] | B | Let the amount paid to X per week = x
and the amount paid to Y per week = y
Then x + y = 638
But x = 120% of y = 120y/100 = 12y/10
∴12y/10 + y = 638
⇒ y[12/10 + 1] = 638
⇒ 22y/10 = 638
⇒ 22y = 6380
⇒ y = 6380/22 = 580/2 = Rs.290
C | train | aqua_rat | null |
If the number is decreased by 5 and divided by 7 the result is 7. What would be the result if 2 is subtracted and divided by 13? | [
"4",
"7",
"5",
"3"
] | A | Explanation:
Let the number be x. Then,
(x - 5)/7 = 7 => x - 5 = 49
x = 54
.: (x - 2)/13 = (54 - 2)/13 = 4
Answer: Option A | train | aqua_rat | null |
An outlet pipe empties a tank which is full in 5 hours. If the inlet pipe is kept open, which lets water in at the rate of 8 litres/min then outlet pipe would take 3 hours longer. Find the capacity of the tank. | [
"8600 litres",
"200 litres",
"6400 litres",
"13200 litres"
] | C | Let the rate of outlet pipe be x liters/hour;
Rate of inlet pipe is 8 litres/min, or 8*60 = 480 liters/hour;
Net outflow rate when both pipes operate would be x-480 liters/hour.
Capacity of the tank = x*5 hours = (x-480)*(5+3) hours
5x=(x-480)*8 --> x=1280 --> capacity = 5x = 6400 liters.
Answer: D | train | aqua_rat | null |
If the simple interest on a sum of money for 3 years at 7% per annum is Rs. 570, what is the compound interest on the same sum at the rate and for the same time? | [
"Rs. 610.83",
"Rs. 617",
"Rs. 618",
"Rs. 610.83"
] | D | Sum = (570 * 100) / (7 * 3) = Rs. 2,714.29
Amount = [2,714.29 * (1 + 7/100)3] = Rs. 3,325.12
C.I. = (3,325.12 - 2,714.29) = Rs. 610.83.
ANSWER:E | train | aqua_rat | null |
While working alone at their constant rates, computer X can process 240 files in 12 hours, and computer Y can process 240 files in 4 hours. If all files processed by these computers are the same size, how many hours would it take the two computers, working at the same time at their respective constant rates, to process... | [
"2.4",
"2.7",
"3",
"3.5"
] | C | Both computers together process files at a rate of 240/12 + 240/4 = 20+60 = 80 files per hour.
The time required to process 240 files is 240/80 = 3 hours
The answer is D. | train | aqua_rat | null |
A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train? | [
"150m",
"188m",
"267m",
"268m"
] | A | Length of the train be ‘X’
X + 150/15 = X + 250/20
4X + 600 = 3X + 750
X = 150m
Answer: A | train | aqua_rat | null |
A group of 10 representatives is to be selected out of 15 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors? | [
"15C₇ * 10",
"15C10 * ¹⁰C₅",
"12 * ¹⁰C₅",
"None of these"
] | B | Here, five seniors out of 15 seniors can be selected in 15C₅ ways. Also, five juniors out of ten juniors can be selected ¹⁰C₅ ways. Hence the total number of different ways of selection = 15C₅ * ¹⁰C₅ =15C10 * ¹⁰C₅
since 15C₅ = 15C10
ANSWER:C | train | aqua_rat | null |
Michelle deposited a certain sum of money in a savings account on July 1st, 2007. She earns an 10% interest compounded semiannually. The sum of money in the account on December 31st, 2009 is approximately what percent of the initial deposit? | [
"127%",
"121%",
"135%",
"140%"
] | A | Since Michelle earns 10% interest compounded semiannually, then she earns 5% interest every 6 months.
Now, the simple interest earned in 5 periods (30 months = 5*6 months) would be 5%*5=25%. But, since the interest is compounded every 6 months, then there would be interest earned on interest (very small amount) thus th... | train | aqua_rat | null |
4.036 divided by 0.04 gives | [
"1.009",
"100.09",
"10.9",
"cannot be determined"
] | A | Solution
4.036 / 0.04 = 403.6 / 4
= 100.9
Answer A | train | aqua_rat | null |
What will come in place of the x in the following Number series? 18, 22, 30, 46 ,X, 142 | [
"35",
"56",
"78",
"98"
] | C | (C)
The pattern is +4, +8, +16, +32, +64
So the missing term is = 78 | train | aqua_rat | null |
One thief entered a cave where he found a pile of diamonds. At first he thought of taking all. But listening to his conscience he thought of taking only half of them. But while returning he picked up two more from the pile. After that Second thief entered the cave and bagged half of remaining diamonds and picked up two... | [
"86",
"94",
"96",
"55"
] | C | Explanation :
When 5th thief entered-1 diamond
When 4th thief entered -(1+2)*2=6 diamonds
When 3rd thief entered -(6+2)*2=16 diamonds
When 2nd thief entered -(16+2)*2=36 diamonds
When 1st thief entered -(36+2)*2=76 diamonds
Hence(D) is the correct answer.
Answer : D | train | aqua_rat | null |
A train overtakes 2 girls who are walking inthe opposite direction in which the train is going at the rate of 3 km/hour & 6km/hour and passes them completely in 36sec & 30 sec respectively. Find the length of the train is? | [
"120 m",
"150 m",
"190 m",
"210 m"
] | B | Let the length of the train e x meter, and let the speed of train be y km/h, then
\inline x=\left ( y+3 \right )\frac{5}{18}\times 36 ........(1)
and \inline x=\left ( y+6\right )\frac{5}{18}\times 30 ........(2)
From eq (1) and (2), we get
\inline (y+3)\times 36 = ( y+6)\times 30
y = 12 km/h
\inline \therefore \inline... | train | aqua_rat | null |
If 4x + y = 8 and −2x + y = 13, then what is the value of 2x + 2y? | [
"3",
"15",
"21",
"60/7"
] | C | 4x + y = 8
−2x + y = 13
Adding both the equations --> 2x + 2y = 21
Answer: D | train | aqua_rat | null |
In a 500 m race, the ratio of the speeds of two contestants A and B is 2 : 4. A has a start of 300 m. Then, A wins by: | [
"60 m",
"43m",
"20m",
"100 m"
] | D | To reach the winning post A will have to cover a distance of (500 - 300)m, i.e., 200 m.
While A covers 2 m, B covers 4 m.
While A covers 200 m, B covers 4 x 200/2 m = 400 m.
Thus, when A reaches the winning post, B covers 400 m and therefore remains 100 m behind.
A wins by 100 m.
Answer: E | train | aqua_rat | null |
The sum of the present ages of a son and his father is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, what will be son's age? | [
"20",
"21",
"22",
"25"
] | A | Let the present age of the son =x
Then, present age of the father =(60−x)
Six years ago father's age was 5 times the age of the son
⇒(60−x)−6=5(x−6)⇒84=6x⇒x=846=14
Son's age after 6 years
=x+6=14+6=20
Answer is A. | train | aqua_rat | null |
A person incures loss for by selling a watch for rs1140.at what price should the watch be sold to earn a 5% profit ? | [
"Rs.1260",
"Rs.1200",
"Rs.1250",
"Rs.1280"
] | A | let the new sp be Rs x.then
(100-loss%) : (1st sp)=(100+gain%) (2nd sp)
={(100-5)/1400}={(100+5)/x}=> x={(105*1140)/95} =Rs.1260.
Answer is B. | train | aqua_rat | null |
In a apartment, 20% of the people speak English, 60% speak Hindi and 60% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi? | [
"1/5",
"2/5",
"2/7",
"2/9"
] | A | P (E) = 20 / 100 = 1 / 5 , P (H) = 60 / 100 = 3 / 5 and P (E ∩ H) = 60 / 100 = 3 / 5
P (E or H) = P (E U H)
= P (E) + P (H) - P (E ∩ H)
= (1 / 5) + (3 / 5) - (3 / 5) = 4 / 10 = 1/5
A | train | aqua_rat | null |
The difference between the length and breadth of a rectangle is 30 m. If its perimeter is 240 m, then its area is: | [
"1520 m2",
"2420 m2",
"3375 m2",
"2520 m2"
] | C | EXPLANATION
We have: (l – b) = 30 and 2(l + b) = 240 or (l + b) = 120.
Solving the two equations, we get: l = 75 and b = 45.
Area = (l x b) = (75x 45) m2 = 3375 m2.
Answer C | train | aqua_rat | null |
A straight line in the xy- plane has slope 4 . On this line the x-coordinate of the point is 50 and y-coordinate is 300 then what is the y intercept of the plane? | [
"150",
"110",
"100",
"50"
] | C | Eq of line = Y = MX +C
M= 4
X=50
Y=50*4 + C,
Substitute Y by 300 as given in question.
300=200+C , C =100
correct option is C | train | aqua_rat | null |
If a truck is travelling at a speed of 54 kmph, crosses a pole in 1 sec, then the length of train is? | [
"13 m",
"14 m",
"15 m",
"16 m"
] | C | Explanation:
D = 54 * 5/18 * 1 = 15 m
Answer: Option C | train | aqua_rat | null |
What is the sum of all the prime factors of 220 and 330? | [
"21",
"35",
"41",
"64"
] | C | Prime factorization of both the numbers is as follows
220 = 2 * 2 * 5 * 11
sum of the prime factors of 220 = 20
330 = 2 *3 * 5 * 11
sum of prime factors of 330 = 21
addition of both = 20 + 21 = 41
ANSWER D | train | aqua_rat | null |
Two twins sisters Sita and Geeta were standing back to back and suddenly they started running in opposite direction for 4 miles and then turn to left and run for another 3 miles.
what is the distance between the the two twins when they stop ? | [
"10 miles",
"11 miles",
"18 miles",
"16 miles"
] | A | A
10 miles | train | aqua_rat | null |
If x and y are positive integers, then xy - y is | [
"Always odd",
"Odd whenever y is odd",
"Odd whenever x+y is even",
"It cannot be determined"
] | B | x and y are positive integers, then xy - y..
Let's take even as 4 and odd as 5.
IMO option A is correct answer..
If you consider your fourth scenario, that turns out to be even.
Hence option B should be correct. | train | aqua_rat | null |
If x, y, and z are all factors of 21, which of the following must be true? | [
"Either x = y, y = z, or x = z",
"x – y – z = even",
"The product xyz is odd",
"yz/x is an integer"
] | C | All the factors of 21 are odd numbers.
The product of odd numbers is odd.
The answer is D. | train | aqua_rat | null |
Ratio of the ages of Mahesh and Nilesh is 5 : x. Mahesh is 18 years younger to Ramesh. After nine years Ramesh will be 47 years old. If the difference between the ages of Mahesh and Nilesh is same as the age of Ramesh, what is the value of x? | [
"62.2",
"14.2",
"13.7",
"14.5"
] | D | Let the present ages of Mahesh, Nilesh and Ramesh be m, n and r respectively.
m/n = 5/x ------ (1)
m = r - 18 ------ (2)
r + 9 = 47 ------ (3)
m - n = r ----- (4)
(3) => r = 47 - 9 = 38 years
(2) => m = 38 -18 = 20 years
(1) => 20/n = 5/x => n = 4x
(4) => 4x - 20 = 38
=> 4x = 58 => x = 14.5
Answer:E | train | aqua_rat | null |
Which one of the following can't be the square of natural number ? | [
"128881",
"128242",
"130321",
"130322"
] | B | Square of a natural number cannot end with 2 .
Hence 128242 cannot be the square of natural number
Answer is B | train | aqua_rat | null |
Every digit of a number written in binary is either 0 or 1. To translate a number from binary, multiply the nth digit (reading from right to left) by 2^(n-1)
What is the largest prime number (written in binary) that is a factor of both 10110000 and 101100000 ? | [
" 10",
" 11",
" 101",
" 1011"
] | D | Binary Divison can provide a quick answer if you are comfortable with it.
as option E is the biggest binary number we try with it first :
100010000/ 1011 =10000
1000100000/ 1011 =100000
so answer is option is D | train | aqua_rat | null |
If x = - |x| , then which one of the following statements could be true?
I. x <1
II. x < 0
III. x > 0 | [
" None",
" I only",
" II only",
" II and III"
] | C | Answer copied from NOVA guide
Statement I could be false because 1/2 = −(1/2) = −1/2 .
Statement II could be true because the right side of the equation is always negative [ ± x = –(a positive number) = a negative number].
Now, if one side of an equation is always negative, then the other side must always be negative,
... | train | aqua_rat | null |
Of the 14,210 employees of the anvil factory, 3/7 are journeymen. If half of the journeymen were laid off, what percentage of the total remaining employees would be journeymen? | [
" 14.3%",
" 16.67%",
" 28.6%",
" 49.67%"
] | A | The exam gives us a number that is easily divisible by 7 to pique our curiosity and tempt us into calculating actual numbers (also because otherwise the ratio would be incorrect). Since the question is about percentages, the actual numbers will be meaningless, as only the ratio of that number versus others will be mean... | train | aqua_rat | null |
If a and b are positive numbers, and a^3 + b^3 = 140, then the greatest possible value of a is between: | [
"2 and 3",
"3 and 4",
"4 and 5",
"5 and 8"
] | D | If a = 5.1 and b is a bit less than 2, then a^3 + b^3 can equal 140.
If a > 8, then a^3 + b^3 > 140.
The answer is E. | train | aqua_rat | null |
Set A {3,3,3,4,5,5,5} has a standard deviation of 1. What will the standard deviation be if every number in the set is multiplied by 3? | [
"B)2",
"C)4",
"D)3",
"E)16"
] | C | Points to remember -
1. If oneAdd/Subtractthe same amont from every term in a set, SD doesn't change.
2. If oneMultiply/Divideevery term by the same number in a set, SD changes by same number.
Hence the answer to the above question is D | train | aqua_rat | null |
Two trains of length 100 meters and 200 meters are 630 meters apart. They are moving towards each other on parallel tracks, at speeds of 90 km/h and 72 km/h. After how many seconds will the trains meet? | [
"12",
"14",
"16",
"18"
] | B | The speeds are 90000/3600 = 25 m/s and 72000/3600 = 20 m/s
The relative speed is 45 m/s.
time = 630 / 45 = 14 seconds
The answer is B. | train | aqua_rat | null |
Becky sets up a hot dog stand in her busy neighborhood and purchases x pounds of hot dogs for q dollars per pound. If she has to throw away s pounds of hot dogs due to spoilage and she sells the rest of the hot dogs for d dollars per pound, which of the following represents the net profit on the sale of the hot dogs? | [
"(x – s)q – sd",
"xq – (xd – sd)",
"xd – sq",
"(x – s)d – xq"
] | D | Answer D:
The amount of hotdogs she can sell is x-s. The price per pound is d, so the revenue is (x-s)d. The total costs are x time q, so the profit is (x-s)d-xq. | train | aqua_rat | null |
Allen walks at an average speed of 4km/h, to the park and then return to the home he walks at an average speed of 8km/h. Which of the following is the closest approximation of Allen's average speed, in kilometers per hour, for the trip? | [
"8",
"32",
"16",
"4"
] | C | Since we're not given a distance to work with, we can TEST any distance that we like. Here, since the speeds are 4 km/hour and 8 km/hour, using a multiple of both 4 and 8 would make the math easiest.
Let's set the Distance up the hill at 16 km.
So, going park, we have....
D = (R)(T)
16 = (4)(T)
16/4 = 4 = T
4 hours to ... | train | aqua_rat | null |
Each child has 8 crayons and 15 apples. If there are 7 children, how many crayons are there in total? | [
"22",
"56",
"12",
"36"
] | B | 8*7=56.Answer is B. | train | aqua_rat | null |
A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train? | [
"87 Kmph",
"28 Kmph",
"72 Kmph",
"18 Kmph"
] | C | Length = Speed * time
Speed = L/T
S = 400/20
S = 20 M/Sec
Speed= 20*18/5 (To convert M/Sec in to Kmph multiply by 18/5)
Speed = 72 Kmph
Answer:C | train | aqua_rat | null |
Two sets A and B consists only of positive integers such that mean of set A is 40 . If set R consist of all the elements of both A and B such that mean of R is 80 then the mean of set B is => | [
"[A] 65",
"[B] 60",
"[D] 55",
"[E] cannot be determined"
] | D | For this question, we have zero information about the size of two sets, sets AB. These two sets may have the same size or may be wildly different. Thus, the answer is (E), the mathematical answer cannot be determined. This is a very weak math question. As someone who writes GMAT practice questions, I would give this a ... | train | aqua_rat | null |
A train 280 m long passed a pole in 28 sec. How long will it take to pass a platform 660 m long? | [
"52",
"94",
"71",
"68"
] | B | Speed = 280/28 = 10 m/sec.
Required time = (280 + 660)/10 = 94 sec.
Answer: B | train | aqua_rat | null |
A baker makes chocolate cookies and peanut cookies. His recipes allow him to make chocolate cookie in batches of 7 and peanut cookies in batches of 6. If he makes exactly 97 cookies, what is the minimum number of chocolate chip cookies he makes? | [
"7",
"14",
"21",
"49"
] | A | 7C+6P=97
We need to maximize P to minimize C so that the eq is also satisfied
Try substitution for CP to solve so that eqn is satisfied
The least value of C for which equation gets satisfied is 5
i.e. 7*1+6*15=7+90=97
Hence A is the answer | train | aqua_rat | null |
A paper is in a square form whose one side is 20 cm. Two semi circles are drawn on its opposites as diameters. If these semi circles are cut down what is the area of the remaining paper? | [
"8.76",
"8.79",
"8.75",
"8.72"
] | C | (5 * 3.5)/2 = 8.75
Answer: C | train | aqua_rat | null |
9 persons a, b, c, ... and i are to be lined up in a row. If a, b, and c adhere always together, how many possible cases are there? | [
"24",
"48",
"72",
"144"
] | D | firstly it is not GEOMETRY but COMBINATIONS, so changing the TAG accordingly..
total 9 are there..
take a,b, and c as one,so total =7..
these 7 can be arranged in 7! ways..
a,b, and c can be arranged within themselves in 3! ways ..
TOTAL = 7!*3!=30240
E | train | aqua_rat | null |
Of the 13 employees in a certain department, 1 has an annual salary of 38,000, 2 have an annual salary of 45,600 each, 2 have an annual salary of 42,500 each, 3 have an annual salary of 40,000 each and 5 have an annual salary of 48,500 each. What is the median annual salary for the 13 employees? | [
"38,000",
"42,600",
"45,600",
"48,500"
] | C | Median is just the value in the middle when you arrange all values in the ascending order
In this question, the 7th value would be the median (Since there are 13 employees)
38, 40, 40, 40, 42.5, 42.5,45.6
So, answer is D. | train | aqua_rat | null |
The botanic garden is planting bulbs for the spring flower show. The head gardener is trying to decide how to place three Tulips bulbs, three Daffodil bulbs, and three Crocus bulbs along the front row. How many different arrangements can he make of these bulbs in the front row? | [
"27",
"108",
"512",
"1,680"
] | D | total number of bulbs is 9, hence possible arrangements is 9!
But all the 3 bulbs are 3 each, hence
i.e.,9!/3!3!3!=1680 ways
answer is E. | train | aqua_rat | null |
What sum of money put at C.I amounts in 2 years to Rs.8880 and in 3 years to Rs.9261? | [
"8164",
"2877",
"2678",
"1011"
] | A | 8880 ---- 381
100 ---- ? => 4.29%
x *104.29/100 * 104.29/100 = 8880
x*1.0876=8880
x=8880/1.0876 => 8164.38
Answer: A | train | aqua_rat | null |
Find the area of a parallelogram with base 24 cm and height 16 cm? | [
"384 cm2",
"279 cm2",
"297 cm2",
"278 cm2"
] | A | Area of a parallelogram = base * height
= 24 * 16
= 384 cm2
Answer: B | train | aqua_rat | null |
A fresh water aquarium contains Molly fish and Guppy fish at a ratio of 15:16. If 35 additional Guppy fish were put in the aquarium, the ratio of Molly fish to Guppy fish would be 15:21. How many Molly fish does the aquarium contain? | [
"90",
"105",
"120",
"150"
] | B | 15x/21x = 15y/(16y+35)
15x=15y
x=y
21x=16y+35
5y=35
y=7
M=7*15=105
ANSWER:B | train | aqua_rat | null |
After M students took a test, the average score was 65%. If the test has 50 questions, what is the least number of questions that the next student has to get right to bring the average score up to 70%? | [
"2.5M + 35",
"M + 37.5",
"0.65M + 70",
"70 - 0.65M"
] | A | The total number of correct answers for M students is (0.65)*50*M=32.5*M
For an average of 70%: (total correct answers) / (M+1) = 0.7*50=35
Let x be the number of correct answers for the next student.
(x + 32.5M) / M+1 = 35
x + 32.5M= 35M+35
x = 2.5M + 35
The answer is A. | train | aqua_rat | null |
Find the value of y from (12)^3 x 6^4 ÷ 432 = y? | [
"2450",
"2560",
"2650",
"5184"
] | D | Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62
E | train | aqua_rat | null |
Jim bought edging to go around a circular garden with a radius of 4 feet. Later he decided to
double the diameter of the garden. How many more feet of edging must he buy? | [
"28.84' additional edging",
"38.84' additional edging",
"18.84' additional edging",
"25.12' additional edging"
] | D | circumference of small garden = 2 x 3.14 x 4 = 25.12'
double of the circumference of small garden = 2 x 25.12' = 50.24'
More feet to be buy = 50.24 - 25.12 = 25.12
Answer : E | train | aqua_rat | null |
There are 50 players in a chess group, and each player plays each of the others once. Given that each game is played by two players, how many total games will be played? | [
"1000",
"3000",
"1225",
"9000"
] | C | 50 players are there.
two players play one game with one another.
so 50C2=50*49/2
=1225
SO OPTION C is correct | train | aqua_rat | null |
The diameter of a cylindrical tin is 14 cm and height is 2 cm. Find the volume of the cylinder? | [
"33",
"45",
"77",
"98"
] | D | r = 7 h = 5
π * 7 * 7 * 5 = 98 π cc
Answer:E | train | aqua_rat | null |
What approximate value should come in place of the question mark (?) in the following equation?
16√524 + 1492 - 250.0521? | [
"1600",
"1800",
"1900",
"2400"
] | A | ? ≈ 16 × 23 + 1490 – 250 ≈ 1600
Answer A | train | aqua_rat | null |
A retail item is offered at a discount of b percent (where b > 10), with a 5% state sales tax assessed on the discounted purchase price. If the state sales tax were not assessed, what percent discount from the item’s original retail price, in terms of b, would result in the same final price? | [
"b+5/1.05",
"b/1.05 +5",
"1.05b-5",
"1.05(p – 5)"
] | C | Let x be the price of the item.
Final price after discount and sales tax = x * (1 - b/100) * 1.05
Let c be the percent discount which would result in the same final price.
Then,
x * (1 - b/100) * 1.05 = x * (1 - c/100)
=> 1.05 - 1.05b/100 = 1 - c/100
=> c/100 = 1.05b/100 - .05
=> c = 1.05b - 5
Hence ,option C is correc... | train | aqua_rat | null |
A train 1600 m long passes a man, running at 6 km/hr in the same direction in which the train is going, in 60 sec. The speed of the train is? | [
"42 km/hr",
"44 km/hr",
"46 km/hr",
"48 km/hr"
] | A | Speed of the train relative to man = 1600/60 = 80/6 m/sec.
= 80/6 * 18/5 = 48 km/hr
Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr.
x - 6 = 48 => x = 42 km/hr.
Answer: A | train | aqua_rat | null |
In a company of 16 employees, 8 employees earn $38,000, 4 employees earn $42,000, and the 4 highest-paid employees earn the same amount. If the average annual salary for the 16 employees is $44,000, what is the annual salary for each of the highest-paid employees? | [
"$54,000",
"$56,000",
"$57,000",
"$58,000"
] | D | 8*38,000+4*42,000+4x=16*44,000
4x=704,000-304,000-168,000
4x=232,000
x=58,000
The answer is E. | train | aqua_rat | null |
What is the area of a square field whose diagonal of length 20 m? | [
"288",
"200",
"112",
"178"
] | B | d2/2 = (20 * 20)/2
= 200
Answer: C | train | aqua_rat | null |
How many times are the hands of a clock at right angle in a day? | [
"24",
"44",
"48",
"None"
] | B | EXPLANATION
In 12 hours, they are at right angles 22 times.
In 24 hours, they are at right angles 44 times.
Answer C | train | aqua_rat | null |
Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is | [
"5/6",
"5/9",
"5/5",
"5/2"
] | B | No two dice show same number would mean all the three faces should show different numbers. The first can fall in any one of the six ways. The second die can show a different number in five ways. The third should show a number that is different from the first and second. This can happen in four ways.
Thus 6 * 5 * 4 = 12... | train | aqua_rat | null |
If 0.5% of A =70 paise, then the value of A is ? | [
"Rs. 170",
"Rs. 140",
"Rs. 4.25",
"None"
] | B | Answer
∵ 0.5/100 of A = 70/100
∴ A = Rs. (70 / 0.5) = Rs. 140
Correct Option: B | train | aqua_rat | null |
Two brothers took the GMAT exam, the higher score is X and the lower one is Y. If the difference between the two scores is 1/5, what is the value of X/Y ? | [
"5",
"1/2.",
"1/3.",
"There isn't enough data to answer the question."
] | A | Answer is B : 5
X - Y = (X + Y)/2
Solving for X/Y = 5 | train | aqua_rat | null |
The distance from City A to City B is 120 miles. While driving from City A to City B, Cara drives at a constant speed of 30 miles per hour. Dan leaves City A 60 minutes after Cara. What is the minimum constant speed in miles per hour that Dan must exceed in order to arrive in City B before Cara? | [
"42",
"44",
"46",
"40"
] | D | The time it takes Cara to drive to City B is 120 / 30 = 4 hours.
Dan needs to take less than 3 hours for the trip.
Dan needs to exceed a constant speed of 120 / 3 = 40 miles per hour.
The answer is E. | train | aqua_rat | null |
Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car. | [
"348",
"960",
"872",
"121"
] | B | 60(x + 1) = 64x
X = 15
60 * 16 = 960 km
Answer: C | train | aqua_rat | null |
An article is bought for Rs.675 and sold for Rs.900, find the gain percent? | [
"33 1/8%",
"33 9/3%",
"33 1/3%",
"33 2/3%"
] | C | 675 ---- 225
100 ---- ? => 33 1/3%
Answer:C | train | aqua_rat | null |
|x+3| – |4-x| = |9+x| How many solutions will this equation have? | [
"1",
"2",
"3",
"4"
] | A | You have |x+3| - |4-x| = |8+x|
First, look at the three values independently of their absolute value sign, in other words:
|x+3| - |4-x| = |8+x|
(x+3) - (4-x) = (8+x)
Now, you're looking at x < - 8, so x is a number less than -8. Let's pretend x = -10 here to make things a bit easier to understand.
when x=-10
I.) (x+3)... | train | aqua_rat | null |
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