question stringlengths 3 1.14k | choices listlengths 4 4 | answer_index int64 0 3 | answer_text stringlengths 3 221 | source stringclasses 1
value | explanation stringlengths 1 3.68k |
|---|---|---|---|---|---|
In a bag containing 3balls, a white ball was placed and then 1ball was taken out at random. What is theprobability that the extracted ball would turn onto be white, if all possible hypothesisconcerning the color of the balls that initially in the bag were equally possible ? | [
"A.3/5",
"B.5/8",
"C.6/7",
"D.7/8"
] | 1 | B.5/8 | aqua_rat | Since, all possible hypothesis regarding the colour of the balls are equally likely, therefore these could be 3 white balls, initially in the bag.
∴ Required probability = 1/4 [1 + 3/4 + 1/2 + 1/4]
= 1/4 [(4 + 3 + 2 + 1)/4] = 5/8
B |
A train 125 m long passes a man, running at 10 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is? | [
"A.65 km/hr",
"B.17 km/hr",
"C.55 km/hr",
"D.50 km/hr"
] | 2 | C.55 km/hr | aqua_rat | Speed of the train relative to man = 125/10 = 25/2 m/sec.
= 25/2 * 18/5 = 45 km/hr
Let the speed of the train be x km/hr. Then, relative speed = (x - 10) km/hr.
x - 10 = 45 => x = 55 km/hr.
Answer: C |
Factor | Percent of Respondents |
User-friendly | 56% |
Fast response time | 48% |
Bargain prices | 42% |
The table gives three factors to be considered when choosing an Internet service provider and the percent of the 1,400 respondents to a survey who cited that factor as important. If 30 percent of the respondents ci... | [
"A.312",
"B.336",
"C.364",
"D.384"
] | 2 | C.364 | aqua_rat | The way I looked at is is as follows:
UserFriendly(UF) + FastResponse (FR) = 30%
UF leftover = 56 - 30 = 26%
FR leftover = 48 - 30 = 18%
Sum these = 74% (ie. 74% were either UF+FR, UF, FR)
26% leftover is the maximum number for Bargain Price
26/100 * 1400 = 26 * 14 = 364 (C). |
A man is trying to climb over a frozen mountain that is sixty feet high. Every minute, he can climb 3 feet, but due to the slippery ice, he slips back 2 feet.
How long will it take him to reach the top of the mountain? | [
"A.57 minutes",
"B.58 minutes",
"C.59 minutes",
"D.53 minutes"
] | 1 | B.58 minutes | aqua_rat | Solution:
It will take the man 58 minutes to reach the top.
Since he is climbing 3 feet and falling 2 feet back every passing minute, he is actually climbing 1 feet every minute.
Therefore, he would have climbed 57 feet in 57 minutes. The remaining distance is 3 feet. He will take one more minute to climb it and reach ... |
The decimal d is formed by writing in succession all the positive, odd integers in increasing order after the decimal point; that is d = 0.1357911131517...
What is the 100th digit of d to the right of decimal point? | [
"A.5",
"B.1",
"C.0",
"D.9"
] | 2 | C.0 | aqua_rat | One-digit odd numbers: There are (1)(10/2) = 5 odd one-digit numbers.
0.13579
5 digits down, 95 remaining. The next 5 odd numbers will be 11, 13, 15, 17, and 19, ... so it follows that: (2)(5) = 10 digits.
Two-digit numbers: 90 digits, which brings us to the number 99.
Three-digit numbers: we only need 5 more digits. T... |
There is 60 lit of milk and water in which milk forms 84%.Howmuch water must be added to this solution to make it solution in which milk forms 68% | [
"A.14.11",
"B.19.75",
"C.20.75",
"D.21.75"
] | 0 | A.14.11 | aqua_rat | 60*84/100=50.40 lit milk that is 9.60 lit water
let x lit water will be added then
(60+x)*68/100=50.40
so x=14.11
ANSWER:A |
A sum of money lent out at S.I. amounts to a total of $520 after 2 years and to $820 after a further period of 5 years. What was the initial sum of money that was invested? | [
"A.$340",
"B.$360",
"C.$380",
"D.$400"
] | 3 | D.$400 | aqua_rat | S.I for 5 years = $820 - $520 = $300
The S.I. is $60/year
S.I. for 2 years = $120
Principal = $520 - $120 = $400
The answer is D. |
A cricket bat is sold for $850, making a profit of $215. The profit percentage would be | [
"A.24%",
"B.25%",
"C.34%",
"D.36%"
] | 2 | C.34% | aqua_rat | 215/(850 - 215) = 215/635 = 43/127 =34%.
Answer: C. |
2.2,5.5,8,36,40.5,263.25,? | [
"A.269.75",
"B.279.75",
"C.289.75",
"D.299.75"
] | 0 | A.269.75 | aqua_rat | 5.5/2.2=2.5, 2.5+5.5=8
36/8=4.5, 4.5+36=40.5
263.25/40.5=6.5, 6.5+263.25=269.75
ANSWER:A |
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? | [
"A.18:11",
"B.18:16",
"C.18:10",
"D.18:14"
] | 0 | A.18:11 | aqua_rat | 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 |
You are gifted a coin that is dated 378 B.C. How much worth the coin is as per your assumption? | [
"A.1",
"B.0",
"C.2",
"D.5"
] | 1 | B.0 | aqua_rat | 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 |
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 | [
"A.None",
"B.I only",
"C.II only",
"D.III only"
] | 0 | A.None | aqua_rat | 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... |
Which of the following equations describes a line that is perpendicular to y = x/2 + 6? | [
"A.y = x − 6",
"B.y = −1 − 2x",
"C.y = -3x",
"D.y = 6x-1"
] | 1 | B.y = −1 − 2x | aqua_rat | 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. |
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 ? | [
"A.1/3",
"B.3/11",
"C.12/13",
"D.5/8"
] | 1 | B.3/11 | aqua_rat | 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 |
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? | [
"A.60",
"B.70",
"C.80",
"D.90"
] | 3 | D.90 | aqua_rat | 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.... |
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? | [
"A.0-1.9",
"B.2-3.9",
"C.4 – 6.9",
"D.7 – 7.9"
] | 1 | B.2-3.9 | aqua_rat | 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 |
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? | [
"A.The volume of the cylinder with height 10 is 70/pi cubic inches greater than the volume of the cylinder with height 6.",
"B.The volume of the cylinder with height 7 is 70/pi cubic inches greater than the volume of the cylinder with height 10.",
"C.The volume of the cylinder with height 10 is 70pi cubic inche... | 1 | B.The volume of the cylinder with height 7 is 70/pi cubic inches greater than the volume of the cylinder with height 10. | aqua_rat | 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. |
In how many different ways can 7 girls and 7 boys form a circle such that the boys and the girls alternate? | [
"A.2880211",
"B.3628800",
"C.120000",
"D.36286200"
] | 1 | B.3628800 | aqua_rat | 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 |
On 8th march,2005,Wednesday falls. What day of the week was it on 8th march,2004? | [
"A.28",
"B.00",
"C.27",
"D.01"
] | 3 | D.01 | aqua_rat | Answer:D |
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? | [
"A.s.250",
"B.s.280",
"C.s.290",
"D.s.299"
] | 2 | C.s.290 | aqua_rat | 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 |
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? | [
"A.4",
"B.7",
"C.8",
"D.5"
] | 0 | A.4 | aqua_rat | 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 |
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. | [
"A.8600 litres",
"B.200 litres",
"C.12800 litres",
"D.6400 litres"
] | 3 | D.6400 litres | aqua_rat | 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 |
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... | [
"A.2",
"B.2.4",
"C.2.7",
"D.3"
] | 3 | D.3 | aqua_rat | 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. |
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? | [
"A.150m",
"B.188m",
"C.267m",
"D.268m"
] | 0 | A.150m | aqua_rat | Length of the train be ‘X’
X + 150/15 = X + 250/20
4X + 600 = 3X + 750
X = 150m
Answer: A |
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? | [
"A.15C₅ * 10",
"B.15C₇ * 10",
"C.15C10 * ¹⁰C₅",
"D.12 * ¹⁰C₅"
] | 2 | C.15C10 * ¹⁰C₅ | aqua_rat | 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 |
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? | [
"A.127%",
"B.120%",
"C.121%",
"D.135%"
] | 0 | A.127% | aqua_rat | 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... |
4.036 divided by 0.04 gives | [
"A.1.009",
"B.100.09",
"C.10.9",
"D.None of these"
] | 0 | A.1.009 | aqua_rat | Solution
4.036 / 0.04 = 403.6 / 4
= 100.9
Answer A |
What will come in place of the x in the following Number series? 18, 22, 30, 46 ,X, 142 | [
"A.35",
"B.56",
"C.78",
"D.87"
] | 2 | C.78 | aqua_rat | (C)
The pattern is +4, +8, +16, +32, +64
So the missing term is = 78 |
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... | [
"A.86",
"B.94",
"C.80",
"D.96"
] | 3 | D.96 | aqua_rat | 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 |
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? | [
"A.90 m",
"B.120 m",
"C.150 m",
"D.190 m"
] | 2 | C.150 m | aqua_rat | 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... |
If 4x + y = 8 and −2x + y = 13, then what is the value of 2x + 2y? | [
"A.1/7",
"B.3",
"C.15",
"D.21"
] | 3 | D.21 | aqua_rat | 4x + y = 8
−2x + y = 13
Adding both the equations --> 2x + 2y = 21
Answer: D |
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? | [
"A.20",
"B.21",
"C.22",
"D.25"
] | 0 | A.20 | aqua_rat | 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. |
A person incures loss for by selling a watch for rs1140.at what price should the watch be sold to earn a 5% profit ? | [
"A.Rs.1160",
"B.Rs.1260",
"C.Rs.1200",
"D.Rs.1250"
] | 1 | B.Rs.1260 | aqua_rat | 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. |
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? | [
"A.1/5",
"B.2/3",
"C.2/5",
"D.2/7"
] | 0 | A.1/5 | aqua_rat | 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 |
The difference between the length and breadth of a rectangle is 30 m. If its perimeter is 240 m, then its area is: | [
"A.1520 m2",
"B.2420 m2",
"C.3375 m2",
"D.2520 m2"
] | 2 | C.3375 m2 | aqua_rat | 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 |
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? | [
"A.150",
"B.110",
"C.100",
"D.200"
] | 2 | C.100 | aqua_rat | 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 |
If a truck is travelling at a speed of 54 kmph, crosses a pole in 1 sec, then the length of train is? | [
"A.13 m",
"B.14 m",
"C.15 m",
"D.16 m"
] | 2 | C.15 m | aqua_rat | Explanation:
D = 54 * 5/18 * 1 = 15 m
Answer: Option C |
What is the sum of all the prime factors of 220 and 330? | [
"A.15",
"B.21",
"C.35",
"D.41"
] | 3 | D.41 | aqua_rat | 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 |
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 ? | [
"A.10 miles",
"B.11 miles",
"C.18 miles",
"D.16 miles"
] | 0 | A.10 miles | aqua_rat | A
10 miles |
If x and y are positive integers, then xy - y is | [
"A.Always odd",
"B.Odd whenever y is odd",
"C.Odd whenever x+y is even",
"D.Even whenever y is odd"
] | 1 | B.Odd whenever y is odd | aqua_rat | 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. |
If x, y, and z are all factors of 21, which of the following must be true? | [
"A.The product xyz > 21",
"B.Either x = y, y = z, or x = z",
"C.x – y – z = even",
"D.The product xyz is odd"
] | 3 | D.The product xyz is odd | aqua_rat | All the factors of 21 are odd numbers.
The product of odd numbers is odd.
The answer is D. |
Which one of the following can't be the square of natural number ? | [
"A.128881",
"B.128242",
"C.131044",
"D.130321"
] | 1 | B.128242 | aqua_rat | Square of a natural number cannot end with 2 .
Hence 128242 cannot be the square of natural number
Answer is B |
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 ? | [
"A. 10",
"B. 11",
"C. 101",
"D. 1011"
] | 3 | D. 1011 | aqua_rat | 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 |
If x = - |x| , then which one of the following statements could be true?
I. x <1
II. x < 0
III. x > 0 | [
"A. None",
"B. I only",
"C. II only",
"D. I and II"
] | 2 | C. II only | aqua_rat | 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,
... |
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? | [
"A. 14.3%",
"B. 16.67%",
"C. 33%",
"D. 28.6%"
] | 0 | A. 14.3% | aqua_rat | 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... |
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? | [
"A.A)1",
"B.B)2",
"C.C)4",
"D.D)3"
] | 3 | D.D)3 | aqua_rat | 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 |
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? | [
"A.12",
"B.14",
"C.16",
"D.18"
] | 1 | B.14 | aqua_rat | 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. |
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? | [
"A.(x – s)q – sd",
"B.xq – (xd – sd)",
"C.xd – sq",
"D.(x – s)d – xq"
] | 3 | D.(x – s)d – xq | aqua_rat | 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. |
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? | [
"A.8",
"B.32",
"C.25",
"D.16"
] | 3 | D.16 | aqua_rat | 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 ... |
Each child has 8 crayons and 15 apples. If there are 7 children, how many crayons are there in total? | [
"A.22",
"B.56",
"C.12",
"D.36"
] | 1 | B.56 | aqua_rat | 8*7=56.Answer is B. |
A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train? | [
"A.87 Kmph",
"B.28 Kmph",
"C.72 Kmph",
"D.18 Kmph"
] | 2 | C.72 Kmph | aqua_rat | 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 |
A train 280 m long passed a pole in 28 sec. How long will it take to pass a platform 660 m long? | [
"A.52",
"B.94",
"C.71",
"D.68"
] | 1 | B.94 | aqua_rat | Speed = 280/28 = 10 m/sec.
Required time = (280 + 660)/10 = 94 sec.
Answer: B |
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? | [
"A.7",
"B.14",
"C.21",
"D.35"
] | 0 | A.7 | aqua_rat | 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 |
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? | [
"A.8.76",
"B.8.79",
"C.8.75",
"D.8.74"
] | 2 | C.8.75 | aqua_rat | (5 * 3.5)/2 = 8.75
Answer: C |
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? | [
"A.38,000",
"B.40,000",
"C.42,600",
"D.45,600"
] | 3 | D.45,600 | aqua_rat | 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. |
What sum of money put at C.I amounts in 2 years to Rs.8880 and in 3 years to Rs.9261? | [
"A.8164",
"B.8877",
"C.2877",
"D.2678"
] | 0 | A.8164 | aqua_rat | 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 |
Find the area of a parallelogram with base 24 cm and height 16 cm? | [
"A.298 cm2",
"B.384 cm2",
"C.279 cm2",
"D.297 cm2"
] | 1 | B.384 cm2 | aqua_rat | Area of a parallelogram = base * height
= 24 * 16
= 384 cm2
Answer: B |
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? | [
"A.90",
"B.105",
"C.120",
"D.135"
] | 1 | B.105 | aqua_rat | 15x/21x = 15y/(16y+35)
15x=15y
x=y
21x=16y+35
5y=35
y=7
M=7*15=105
ANSWER:B |
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%? | [
"A.2.5M + 35",
"B.M + 37.5",
"C.0.65M + 70",
"D.70 - 0.65M"
] | 0 | A.2.5M + 35 | aqua_rat | 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. |
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? | [
"A.1000",
"B.3000",
"C.1225",
"D.6000"
] | 2 | C.1225 | aqua_rat | 50 players are there.
two players play one game with one another.
so 50C2=50*49/2
=1225
SO OPTION C is correct |
What approximate value should come in place of the question mark (?) in the following equation?
16√524 + 1492 - 250.0521? | [
"A.1600",
"B.1800",
"C.1900",
"D.2400"
] | 0 | A.1600 | aqua_rat | ? ≈ 16 × 23 + 1490 – 250 ≈ 1600
Answer A |
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? | [
"A.b+5/1.05",
"B.b/1.05 +5",
"C.1.05b-5",
"D.b-5/1.05"
] | 2 | C.1.05b-5 | aqua_rat | 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... |
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? | [
"A.42 km/hr",
"B.44 km/hr",
"C.46 km/hr",
"D.48 km/hr"
] | 0 | A.42 km/hr | aqua_rat | 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 |
What is the area of a square field whose diagonal of length 20 m? | [
"A.288",
"B.289",
"C.200",
"D.112"
] | 2 | C.200 | aqua_rat | d2/2 = (20 * 20)/2
= 200
Answer: C |
How many times are the hands of a clock at right angle in a day? | [
"A.22",
"B.24",
"C.44",
"D.48"
] | 2 | C.44 | aqua_rat | EXPLANATION
In 12 hours, they are at right angles 22 times.
In 24 hours, they are at right angles 44 times.
Answer C |
Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is | [
"A.5/6",
"B.5/9",
"C.5/5",
"D.5/2"
] | 1 | B.5/9 | aqua_rat | 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... |
If 0.5% of A =70 paise, then the value of A is ? | [
"A.Rs. 170",
"B.Rs. 140",
"C.Rs. 1.70",
"D.Rs. 4.25"
] | 1 | B.Rs. 140 | aqua_rat | Answer
∵ 0.5/100 of A = 70/100
∴ A = Rs. (70 / 0.5) = Rs. 140
Correct Option: B |
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 ? | [
"A.3.",
"B.5",
"C.1/2.",
"D.1/3."
] | 1 | B.5 | aqua_rat | Answer is B : 5
X - Y = (X + Y)/2
Solving for X/Y = 5 |
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. | [
"A.348",
"B.277",
"C.960",
"D.872"
] | 2 | C.960 | aqua_rat | 60(x + 1) = 64x
X = 15
60 * 16 = 960 km
Answer: C |
An article is bought for Rs.675 and sold for Rs.900, find the gain percent? | [
"A.33 1/8%",
"B.33 9/3%",
"C.33 1/3%",
"D.93 1/3%"
] | 2 | C.33 1/3% | aqua_rat | 675 ---- 225
100 ---- ? => 33 1/3%
Answer:C |
|x+3| – |4-x| = |9+x| How many solutions will this equation have? | [
"A.0",
"B.1",
"C.2",
"D.3"
] | 1 | B.1 | aqua_rat | 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)... |
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