subject
stringclasses 1
value | question
stringlengths 3
1.14k
| options
listlengths 5
5
| solution
stringlengths 18
3.7k
| answer
stringclasses 5
values |
|---|---|---|---|---|
mathematics
|
A bike owner buys petrol at Rs 75, Rs. 80 and Rs. 85 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 40000 each year?
|
[
"Rs 79.8",
"Rs 80.4",
"Rs 85.5",
"Rs 90",
"Rs 60"
] |
Explanation :
Total quantity of petrol consumed in 3 years = 40000/75 + 40000/80 + 40000/85 litres
= 40000 (1/75 + 1/80 + 1/85 ) = 40000(767/20,400) = 76700/51 litres
Total amount spent = Rs. (3 x 40000) = Rs. 120000.
Average cost = Rs. 120000 x 51/76700
= Rs. 61200/767
= Rs. 79.8
Answer : A
The answer is: A
|
A
|
mathematics
|
A sum was put at simple interest at a certain rate for 10 years . Had it been put at 5% higher rate , it would have fetched Rs.300 more. What was the Sum?
|
[
"s.1200",
"s.1300",
"s.600",
"s.800",
"s.1200"
] |
At 5% more rate, the increase in S.I for 10 years = Rs.300 (given)
So, at 5% more rate, the increase in SI for 1 year = 300/10 = Rs.30/-
i.e. Rs.30 is 5% of the invested sum
So, 1% of the invested sum = 30/5
Therefore, the invested sum = 30 × 100/5 = Rs.600 Answer: C
The answer is: C
|
C
|
mathematics
|
A car ferry can hold up to 70 tons of cargo. What is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average (arithmetic mean) weight of 0.75 tons and half of the vehicles are trucks with an average (arithmetic mean) weight of 6 tons?
|
[
"20",
"24",
"28",
"32",
"36"
] |
The weight of one car and one truck is 6.75 tons.
70/6.75 = 10 plus a remainder
The ferry could carry 10 cars and 10 trucks for a total of 20 vehicles.
The answer is A.
The answer is: A
|
A
|
mathematics
|
The length of a rectangular plot is 20 mtr more than its breadth. If the cost of fencingthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
|
[
"50 m",
"60 m",
"65 m",
"75 m",
"80 m"
] |
Let breadth = x metres.
Then, length = (x + 20) metres.
Perimeter = 5300 m = 200 m.
26.50
2[(x + 20) + x] = 200
2x + 20 = 100
2x = 80
x = 40.
Hence, length = x + 20 = 60 m
B
The answer is: B
|
B
|
mathematics
|
A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
|
[
"90",
"10",
"20",
"50",
"80"
] |
Explanation:
Let number of notes of each denomination be x.
Then x + 5x + 10x = 480
16x = 480
x = 30.
Hence, total number of notes = 3x = 90.
Answer is A
The answer is: A
|
A
|
mathematics
|
A jar contains 5 black and 2 white balls. If you pick two balls at the same time, what's the probability that one ball is black and one is white?
|
[
"2/7",
"5/21",
"4/21",
"3/7",
"1/2"
] |
P(1st black, 2nd white) = 5/7*2/6 = 10/42;
P(1st white, 2nd black) = 2/7*5/6 = 10/42.
P = 10/42 + 10/42 = 20/84= 10/42 = 5/21
Answer: B.
The answer is: B
|
B
|
mathematics
|
The average of 13 numbers is 60. Average of the first 6 of them is 57 and that of the last 8 is 61. Find the 8th number?
|
[
"46",
"48",
"50",
"52",
"54"
] |
Sum of all the 13 numbers = 13 * 60 = 780
Sum of the first 6 of them = 6 * 57 = 342
Sum of the last 8 of them = 8 * 61 = 488
So, the 8th number = 342 + 488 - 780 = 50.
ANSWER:C
The answer is: C
|
C
|
mathematics
|
Indu gave Bindu Rs.1250 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
|
[
"1",
"2",
"3",
"4",
"5"
] |
1250 = D(100/4)2
D = 2
Answer: B
The answer is: B
|
B
|
mathematics
|
Find the average of first 5 multiples of 5?
|
[
"10",
"15",
"12.5",
"13",
"21"
] |
average = (5+10+15+20+25)/5 = 15
Answer is B
The answer is: B
|
B
|
mathematics
|
What is the next number in the sequence : 15,21,24,30,33,39,51,57__?
|
[
"69",
"71",
"67",
"65",
"79"
] |
next no. = previous + (sum of digits)
15 + (1+5) = 21
21 + (2+1) = 24
24 + (2+4) = 30
30 + (3+0) = 33
33 + (3+3) = 39
39 + (3+9) = 51
51 +(5+1) = 57
57 + (5+7) = 69
ANSWER:A
The answer is: A
|
A
|
mathematics
|
If the compound interest on a certain sum of money for 2 years at 10% per annum be Rs. 993, what would be the simple interest?
|
[
"Rs. 600",
"Rs. 890",
"Rs. 895",
"Rs. 900",
"None"
] |
Let P = Principal
A - Amount
We have a = P(1 + R/100)3 and CI = A - P
ATQ 993 = P(1 + R/100)3 - P
? P = 3000/-
Now SI @ 10% on 3000/- for 2 yrs = (3000 x 10 x 2)/100
= 600/-
Answer: A.
The answer is: A
|
A
|
mathematics
|
In what time will a train 40 m long cross an electric pole, it its speed be 144 km/hr?
|
[
"2.5 sec",
"1.0 sec",
"7.5 sec",
"2.3 sec",
"1.5 sec"
] |
Speed = 144 * 5/18
= 40 m/sec
Time taken = 40/40
= 1.0 sec.
Answer:B
The answer is: B
|
B
|
mathematics
|
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is
|
[
"33",
"40",
"38",
"27",
"211"
] |
Explanation:
Sum of the present ages of husband, wife and child = (27 x 3 + 3 x 3) years = 90 years.
Sum of the present ages of wife and child (20 x 2 + 5 x 2) years = 50 years.
Husband's present age = (90 - 50) years = 40 years.
Answer: B) 40
The answer is: B
|
B
|
mathematics
|
A and B runs around a circular track. A beats B by one round or 10 minutes. In this race, they had completed 4 rounds. If the race was only of one round, find the A's time over the course:
|
[
"8.5 min",
"7.5 min",
"1.5 min",
"9.5 min",
"4.5 min"
] |
Explanation:
B runs around the track in 10 min.
i.e , Speed of B = 10 min per round
A beats B by 1 round
Time taken by A to complete 4 rounds
= Time taken by B to complete 3 rounds
= 30 min
A's speed = 30/4 min per round
= 7.5 min per round
Hence, if the race is only of one round A's time over the course = 7 min 30 sec
Answer: B
The answer is: B
|
B
|
mathematics
|
If the average (arithmetic mean) of x^2, 2x^2, and 3x^2 is 200, what is the value of x?
|
[
"10",
"12",
"15",
"20",
"25"
] |
AM of x^2, 2x^2 and 3x^2 = x^2 + 2x^2 + 3x^2 / 3 = 6x^2/3
Given that 2x^2 = 200
x^2 = 100
x = 10
Answer is A
The answer is: A
|
A
|
mathematics
|
How long does a train 120 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length?
|
[
"33",
"72",
"52",
"82",
"62"
] |
Explanation:
T = (660 + 120)/54 * 18/5
T = 52
Answer: Option C
The answer is: C
|
C
|
mathematics
|
The ratio of two quantities is 1 to 2. If each of the quantities is increased by 15, what is the ratio of these 2 new quantities?
|
[
"5:6",
"25:27",
"15:16",
"20:21",
"It cannot be determined from the information given"
] |
The ratio cannot be straight way added any quantity...
1:2means 1X:2X...
So when you add a quantity, it becomes 1x + 15 : 2x +15..
So value of x is must..
Ans E
The answer is: E
|
E
|
mathematics
|
Fill in the missing number:
18 ? 12 11 10.5 10.25
|
[
"10.1",
"10.4",
"10.2",
"14",
"10.3"
] |
14
Divide each number by 2 and then add 5 to it.
ANSWER D
The answer is: D
|
D
|
mathematics
|
A certain toy store's revenue in November was 1/5 of its revenue in December and its revenue in January was 3/4 of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January?
|
[
"1/4",
"1/2",
"2/3",
"2",
"6"
] |
Let Dec rev =100
Then Nov rev is 1/5 (100) => 20
Therefore Jan rev = 3/4(Nov rev) = 3/4(20) => 15
Hence Dec rev = x*( Nov rev+Jan rev)/2
100 = x* (20+15)/2
x = 100/17.5 => 5.71=6
Ans) E
The answer is: E
|
E
|
mathematics
|
A merchant gets a 5% discount on each meter of fabric he buys after the first 2,000 meters and a 7% discount on every meter after the next 1,500 meters. The price, before discount, of one meter of fabric is $2, what is the total amount of money the merchant spends on 7,000 meters of fabric?
|
[
"$13,360",
"$14,450",
"$15,720",
"$16,780",
"$17,240"
] |
For first 2000 meters he does not get any discount.
The price is 2*2000 = $4000
For next 1500 meters, he gets a 5% discount.
The price is 1.9*1500 = $2850
For the next 1500 meters, he gets a 7% discount.
The price is 1.86*3500 = $6510
The total price is $4000 + $2850 + $6510 = $13,360
The answer is A.
The answer is: A
|
A
|
mathematics
|
If y exceeds x by 25%, then x is less than y by?
|
[
"28%",
"21%",
"20%",
"30%",
"29%"
] |
X=100 y=125
125--------25
100--------? => 20%
Answer:C
The answer is: C
|
C
|
mathematics
|
Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
|
[
"12:15:15",
"12:15:16",
"12:15:19",
"12:45:15",
"12:15:11"
] |
Aman : Rakhi : Sagar = (70000 * 36) : (105000 * 30) : (140000 * 24)
= 12:15:16
Answer: B
The answer is: B
|
B
|
mathematics
|
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective.
|
[
"1/128",
"1/127",
"1/125",
"1/121",
"1/126"
] |
Explanation:
Out of nine, five are good and four are defective. Required probability
= 4C4/9C4 = 1/126
Answer: E
The answer is: E
|
E
|
mathematics
|
Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of oxygen are there in 108 grams of water?
|
[
"16",
"96",
"112",
"128",
"142"
] |
Solution:
We are given that the ratio of hydrogen to oxygen in water, by mass, is 2 : 16. Using our ratio multiplier we can re-write this as 2x : 16x. We can now use these expressions to determine how much oxygen is in 108 grams of water.
2x + 16x = 108
18x = 108
x = 6
Since x is 6, we know that there are 16 x 6 = 96 grams of oxygen in 108 grams of water.
Answer B.
The answer is: B
|
B
|
mathematics
|
Each of the positive integers a, b, and c is a three-digit integer. If each of the digits 0 through 8 appears in one of these three integers, what is the minimum possible value of the sum of a, b, and c?
|
[
"45",
"666",
"711",
"801",
"1368"
] |
According to the stem we should use the digits 0 through 7 to construct 3 three-digit integers, so that their sum is as small as possible.
To minimize the sum, minimize the hundreds digits of a, b, and c, so make them 1, 2, and 3.
Next, minimize tens digits. Make them 0, 4, and 5.
Use the remaining digits (6, 7, and 8) for units digits.
So, a would be 106, b would be 247 and c would be 358.
106 + 247 + 358 = 711.
Answer: C.
The answer is: C
|
C
|
mathematics
|
What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?
|
[
"617",
"746",
"808",
"812",
"814"
] |
Length of largest tile = H.C.F. of 1517 cm and 902 cm = 41 cm.
Area of each tile = (41 x 41) cm2.
Required number of tiles = (1517 x 902)/(41X41) = 814.
Answer: Option E
The answer is: E
|
E
|
mathematics
|
Bill made a profit of 10% by selling a product. If he had purchased that product for 10% less and sold it at a profit of 30%, he would have received $ 56 more. What was his original selling price?
|
[
"$770",
"$660",
"$700",
"$1100",
"$880"
] |
Let the original purchase price be X
So original selling price at 10% profit = 1.1X
If product is purchased at 10% less of original = 0.9X
Profit of 30% on this price = 1.3(0.9X)
He would have received $56 more in second scenario => 1.3(0.9X) - 1.1X = 56
=> 0.07X = 56
=> X = $800
Original purchase price = $800
Hence, original selling price (at 10% of profit) = 1.1(800) = $880
Option E
The answer is: E
|
E
|
mathematics
|
In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 42 as quotient. What is the correct quotient ?
|
[
"0",
"12",
"13",
"20",
"24"
] |
12*42=504
504%21=24
ANSWER:E
The answer is: E
|
E
|
mathematics
|
Among the members of the Malmo family, there are three times as many members who do not wear glasses as members who do. Half of the Malmo family members have blue eyes, and 4/5 of the family members who have blue eyes do not wear glasses. What percent of the Malmo family members wear glasses and do not have blue eyes?
|
[
"10",
"15",
"20",
"25",
"35"
] |
Number in black are given and in red are calculated.
Now, since x+3x=100, then x=25 and therefore =25−10=15
Answer: B.
The answer is: B
|
B
|
mathematics
|
a, b, c and d are four consecutive numbers. If the sum of a and dis 109, what is the product of b and c?
|
[
"2652",
"2578",
"2970",
"3354",
"4234"
] |
C
2970
Here d = a + 3
a + a + 3 = 109
2a = 106
a = 53
So, numbers are 53, 54, 55 and 56
∴ b × c= 54 × 55 = 2970
The answer is: C
|
C
|
mathematics
|
Can you replace the question mark with the number to complete the series, provided the pair of numbers exhibits a similar relationship ?
? : 4623 :: 9 : 647
|
[
"?= 17",
"18",
"13",
"10",
"20"
] |
A
17
The relationship holds for below formula :
pow(x,3) - pow(x,2) - 1
=> 9*9*9 - 9*9 - 1
=> 729 - 81 - 1
=> 647
Similarly,
17*17*17 - 17*17 - 1
=> 4913 - 289 - 1
=> 4623
The answer is: A
|
A
|
mathematics
|
How many different values of positive integer x, for which |x+5|<x, are there?
|
[
"0",
"2",
"3",
"8",
"16"
] |
Answer E
I opted to put the random value option.
i used 0 , 5 , -5 and the the extreme of 40 and -40..
i was able to solve it in 1:09
E
The answer is: E
|
E
|
mathematics
|
A man swims downstream 36 km and upstream 48 km taking 6 hours each time, what is the speed of the man in still water?
|
[
"5",
"24",
"7",
"42",
"6"
] |
36--- 6 DS = 6
? ---- 1
48 ---- 6 US = 8
? ---- 1 M = ?
M = (6 + 8)/2 = 7
Answer: C
The answer is: C
|
C
|
mathematics
|
If the operation € is defined for all x and y by the equation x € y = 3*x*y, then 3 € (4 € 5) =
|
[
"80",
"120",
"160",
"540",
"660"
] |
working inside out,
(4 € 5) = 3*4*5 = 60
3 € 60 = 3*3*60 = 540
Hence, answer is D
The answer is: D
|
D
|
mathematics
|
A number consists of two digits whose sum is 11. If 27 is added to the number, then the digits change their places. What is the number ?
|
[
"47",
"65",
"83",
"92",
"98"
] |
Explanation:
Let the ten's digit be x. Then, unit's digit = (11 - x).
So, number = 10x + (11 - x) = 9x + 11.
Therefore (9x + 11) + 27 = 10 (11 - x) + x 9x + 38 = 110 - 9x 18x = 72 x = 4.
Thus, ten's digit = 4 and unit's digit = 7.
Hence, required number = 47.
Answer: Option A
The answer is: A
|
A
|
mathematics
|
If n is an odd integer less than 10, which of the following must also be an odd integer?
|
[
"2n + n^2 + 2",
"n^3 + 2n",
"3n + 2^n",
"n^3 + 1",
"3n"
] |
Answer: D
A: 2n = even
B: 3n = even
C: 3n + n^2 + 2 = even
D: n^2 + 1 = odd
E: 2n + n^2 = even
Answer: D
The answer is: D
|
D
|
mathematics
|
28 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres?
|
[
"30",
"42",
"60",
"Data inadequate",
"None of these"
] |
Capacity of the tank = 28 × 13.5= 378 litres
When the capacity of each bucket = 9 litres, then the required no. of buckets
= 378â„9 = 42
Answer B
The answer is: B
|
B
|
mathematics
|
C individuals pledged to pay equal contributions so that a charity’s goal of $x could be reached. If d of the contributors failed to pay their share, which of the following represents the additional number of dollars that each of the remaining individuals would have to pay in order to allow the charity to reach its goal?
|
[
"dx / C",
"x / (C-d)",
"d / (C-dx)",
"x / (C(C-d))",
"dx / (C(C-d))"
] |
Number of individuals = C
Amount paid by each individual = n
Total expected amount = Charity's goal = nC = x
n = x/C
Number of individuals who fail to pay = d
Contribution from individuals who would fail to pay = dx/C --> Additional amount
Number of individuals who are paying = C - d
Additional amount has to be divided among the (C - d) individuals --> dx/C(C - d)
Answer: E
The answer is: E
|
E
|
mathematics
|
A vertical tower OP stands at the centre O of a square ABCD. Let h and b denote the lengths OP and AB respectively. Suppose ∠APB = 60°, then the relationship between h and b can be expressed as :
|
[
"2b^2 = h^2",
"2h^2 = b^2",
"3b^2 = 2h^2",
"3h^2 = 2b^2",
"None of these"
] |
Explanation :
As OP is at centre of square so clearly PA = PB.
so, angle ∠PAB = ∠ PBA.
and as ∠APB = 60,so we can see that in ∆ APB, ∠ PAB = ∠ PBA = 60.
Hence, its an equilateral triangle thus making AP = PB = AB = b.
Now lets see ∆ AOB ,
O is centre of square so angle AOB=900.
giving us AO = OB = AB/√2.
so AO= b/√2
Now in triangle AOP right angled at O,
=> AO2 + OP2 = PA2 .
=> b2/2 + h2 = b2 .
=> h2 = b2/2
Answer : B
The answer is: B
|
B
|
mathematics
|
A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start?
|
[
"2 hours",
"6 hours",
"8 hours",
"9 hours",
"3 hours"
] |
|-----------20--------------------|
50 40
D = 20
RS = 50 – 40 = 10
T = 20/10 = 2 hours
14. If I walk at 3 kmph, I miss
Answer: A
The answer is: A
|
A
|
mathematics
|
Evaluate 75% of 450 + 45% of 750
|
[
"632",
"642",
"652",
"675",
"572"
] |
Explanation:
= (75/100) * 450 + (45/100) * 750
= 675
Option E
The answer is: E
|
E
|
mathematics
|
How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
|
[
"25",
"30",
"35",
"40",
"45"
] |
Speed of train relative to man = 63 - 3 = 60 km/hr.
= 60 * 5/18 = 50/3 m/sec.
Time taken to pass the man = 500 * 3/50 = 30 sec.
Answer: Option B
The answer is: B
|
B
|
mathematics
|
The simple interest on Rs. 20 for 6 months at the rate of 5 paise per rupeeper month is
|
[
"1.2",
"1.4",
"6",
"7",
"None"
] |
Sol.
S.I. = Rs. [20 * 5/100 * 6] = Rs. 6
Answer C
The answer is: C
|
C
|
mathematics
|
Trains A and B start simultaneously from stations 450 miles apart, and travel the same route toward each other on adjacent parallel tracks. If Train A and Train B travel at a constant rate of 50 miles per hour and 50 miles per hour, respectively, how many miles will Train A have traveled when the trains pass each other, to the nearest mile?
|
[
"112",
"133",
"150",
"167",
"225"
] |
Since we know the distance (450) and the combined rate (100), we plug it into the formula:
Distance = Rate * Time
450 = 100 * Time
We can solve for the time they will meet cause we added the rate of Train A and Train B together.
So the time will be 450/100 from dividing 100 on both sides to isolate Time in the equation above.
Time will be 4.5 hours so now you can plug that in for Train A’s distance.
Distance = Rate * Time
Distance = 50 * 4.5
Distance = 225 according to answer choice E.
The answer is: E
|
E
|
mathematics
|
The price of a mobile was increased by 40 percent. The new price was then decreased by 15 percent. A single increase of what percent is equivalent to these two successive changes?
|
[
"25%",
"19%",
"30%",
"22.5%",
"15%"
] |
consider base price - $100
25% increase = 1.40*100 = $140
Then a 15% decrease on new price = 0.85* 140 = $119
so final price of radio - $119
therefore a 19% increase
correct option - B
The answer is: B
|
B
|
mathematics
|
A solution of X pounds of water and sugar is boiled until 20% of the water content evaporates. Originally p% of sugar was present in the solution. After evaporation, what percentage of the solution is sugar?
|
[
"100p/(1-p)",
"80p/(1-p)",
"75p/(1-p)",
"100p/(80-0.2p)",
"100p/(80+0.2p)"
] |
We'll go for the ALTERNATIVE approach since there are variables in all the answers (which means that any number could work). Since the question deals with percents, the easiest number to use is X = 100. Now let's say that p = 10. Before the evaporation we had 10 pound of sugar and 90 pounds of water. Since only water evaporated, after the evaporation the 10 pounds of sugar remained the same, but the water reduced by 20% of 90 (18 pounds), so we have only 72 pounds of water. 10 out of 82 is the fraction of sugar, so if we multiply it by 100 we get the percents. The correct answer is E: 100p/(80+0.2p) >>> 100x10 / 82
The answer is: E
|
E
|
mathematics
|
Two airplanes take off from one airfield at noon. One flies due east at 204 miles per hour while the other flies directly northeast at 283 miles per hour. Approximately how many miles apart are the airplanes at 2 p.m.?
|
[
"166",
"408",
"400",
"483",
"566"
] |
B
In two hours:
the plane flying East will be 408 miles away from airport.
the other plane will be 566 miles away from airport.
566/408 = ~1.4 = ~sqrt(2)
This means that planes formed a right isocheles triangle => sides of such triangles relate as 1:1:sqrt(2) => the planes are 408 miles apart.B
The answer is: B
|
B
|
mathematics
|
If a, b and c are the sides of a triangle, and a2 + b2 + c2 = bc + ca + ab, then the triangle is
|
[
"equilateral",
"isosceles",
"right-angled",
"obtuse-angled",
"None of these"
] |
Explanation :
We know that (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ac = 3ab + 3bc + 3ac
Now assume values of a, b, c and substitute in this equation to check the options.
Shortcut:
(a – b)2 + (b – c)2 + (c – a)2 = 0.
Hence, a = b = c.
Answer : A
The answer is: A
|
A
|
mathematics
|
Robin mixes two liquids, one blue in coloUr and other red in colour in the ratio 2:3 and sells the mixture at the rate of $20 per liter, thereby making a 25% profit on his outlay. The blue liquid costs Robin $5 per litre lesser than the red liquid. How much does a liter of red liquid cost?
|
[
"12",
"13",
"14",
"15",
"16"
] |
Let x be the required cost per litre of red paint.
Take 5 litres of this mixture.
Sold at 100 with a profit of 1/4th of total cost. So, total cost will be 1/5th less than 100; total cost = 80.
2(x-5) + 3(x) = 80
x = 14
Answer is C
The answer is: C
|
C
|
mathematics
|
A, B, C started a business with their investments in the ratio 1:3 :5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. The ratio of their profits at the end of the year is :
|
[
"5 : 6 : 18",
"5 : 6 : 12",
"5 : 6 : 11",
"5 : 6 : 10",
"5 : 6 : 128"
] |
Let their initial investments be x, 3x and 5x respectively. Then,
20x : 24x : 40x = 5 : 6 : 10
Answer: D) 5 : 6 : 10
The answer is: D
|
D
|
mathematics
|
Machine A takes 100 hours to complete a certain job and starts that job at 7AM. After two hour of working alone, machine A is joined by machine B and together they complete the job at 6PM. How long would it have taken machine B to complete the jobif it had worked alone for the entire job?
|
[
"10.11",
"9.99",
"11.1",
"44.11",
"1.01"
] |
Let us assume total job = 100 units
A finishes 100 units in 100 hrs(given)
Hence A (working rate)= 1 units /hr
Now Given that A works for 2 hr( so 2 units done) then A and B finish total work in 15 hours. Hence A and B finish 98 units in 9 hours. Of these 1x9=9 units were done by A. Hence B did 89units in 9 hours.
Hence B(working rate)= 89/9 units /hr
Hence B takes 100x9/89 = 10.11 hours to complete the job.
Answer A.
The answer is: A
|
A
|
mathematics
|
Look at this series: VI, 10, V, 11, __, 12, III, ... What number should fill the blank?
|
[
"II",
"IV",
"IX",
"14",
"12"
] |
There will be two series.
1st : VI, V , ?? , III (decreasing by 1 in roman letters of numbers)i.e,6,5,4
2nd : 10, 11, 12 , 13 (Increasing by 1 number)
Final sequence : VI, 10, V, 11, 1V, 12, III
ANSWER:B
The answer is: B
|
B
|
mathematics
|
If a and b are the roots of the equation x2 - 6x + 6 = 0, then the value of a2 + b2 is:
|
[
"36",
"24",
"17",
"6",
"5"
] |
Sol.(b) The sum of roots = a+ b = 6
Product of roots = ab = 6
Now, a2 + b2 = (a + b)2 - 2ab = 36 - 12 = 24
Answer B
The answer is: B
|
B
|
mathematics
|
A grocer has 400 pounds of coffee in stock, 25 percent of which is decaffeinated. If the grocer buys another 100 pounds of coffee of which 60 percent is decaffeinated, what percent, by weight, of the grocer’s stock of coffee is decaffeinated?
|
[
"28%",
"30%",
"32%",
"34%",
"40%"
] |
1. 25% of 400=100 pounds of decaffeinated coffee
2. 60% of 100=60 pounds of decaffeinated coffee
3. Wt have 160 pounds of decaffeinated out of 500 pounds, that means 160/500*100%=32%. The correct answer is C.
The answer is: C
|
C
|
mathematics
|
A company recently conducted a survey and found that 35,000 of its customers live in rural areas. If the number of customers who live in urban areas is 140 percent greater than the number of customers who live in rural areas, how many customers live in urban areas?
|
[
"78,000",
"80,000",
"82,000",
"84,000",
"86,000"
] |
The number of customers in urban areas is 35,000+1.4*35,000=84,000.
The answer is D.
The answer is: D
|
D
|
mathematics
|
Find the smallest four-digit number which is a multiple of 112.
|
[
"896",
"1008",
"1120",
"1024",
"None of these"
] |
The smallest four digit number is 1000. If 1000 is divided by 112, the remainder is 104.
112 - 104 = 8, if 8 is added to 1000, it will become the smallest four digit number and a multiple of 112.
ANSWER:B
The answer is: B
|
B
|
mathematics
|
For one toss of a certain coin, the probability that the outcome is heads is 0.8. If this coin is tossed 5 times, which of the following is the probability that the outcome will be heads at least 4 times?
|
[
"(0.8)^5",
"2(0.8)^4",
"3(0.8)^4",
"4(0.8)^4(0.2) + (0.8)^5",
"5(0.8)^4(0.2) + (0.8)^5"
] |
P(5 heads) = (0.8)^5
There are 5 ways to get 4 heads: HHHHT, HHHTH, HHTHH, HTHHH, THHHH
P(4 heads) = 5*(0.8)^4(0.2)
The answer is E.
The answer is: E
|
E
|
mathematics
|
If 4a = 16b and 9b = 14c, Find a:b:c?
|
[
"52:13:7",
"13:7:52",
"7:13:52",
"64:14:9",
"None of these"
] |
Explanation:
(4a = 16b ==> a/b = 16/4)
and (9b = 14c ==> b/c = 14/9)
==> a:b = 16:4 and b:c = 14:9
a:b:c = 64:14:9
Answer: Option D
The answer is: D
|
D
|
mathematics
|
John invested part of his savings into a investment X that earned a profit of 10% and the rest of the savings into an investment Y that lost 15%. If John neither made a profit nor a loss, then what fraction of his savings was invested in investment X?
|
[
"3/5",
"2/3",
"7/10",
"3/4",
"4/5"
] |
X(1+10/100) + Y(1-15/100) = X+Y
this gives 2X = 3Y
or X/Y = 3/2
So, fraction invested in X = 3/5
ANSWER:A
The answer is: A
|
A
|
mathematics
|
If the difference of two numbers is 3 and the difference of their square is 39, then the larger number is:
|
[
"9",
"2",
"12",
"14",
"8"
] |
Let the numbers be x and y
Then x2-y2=39
And x-y=3
We get x+y=13
Solving x-y=3, x+y=13
X=8, y=5
Larger number 8
ANSWER E
The answer is: E
|
E
|
mathematics
|
A = {2,0, 1, -3, 6, -8}
B = {-1, 2, -4, 7,-6,20}
If a is a number that is randomly selected from Set A, and b is a number that is randomly selected from Set B, what is the probability that ab > 0?
|
[
"1/4",
"1/3",
"5/12",
"4/9",
"1/2"
] |
For the product of 2 numbers to be positive either both of them must be positive or both of them must be negative:
P(positive, positive) = 3/6*3/6 = 9/36;
P(negative, negative) = 2/6*3/6 = 6/36.
P = 9/36 + 6/36
= 15/36
= 5/12.
Answer: C.
The answer is: C
|
C
|
mathematics
|
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
|
[
"Rs.15,000",
"Rs.18,000",
"Rs.16,000",
"Rs.20,000",
"Rs.22,000"
] |
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
The answer is: A
|
A
|
mathematics
|
A gets 3 times as much money as B gets, B gets only Rs.25 more then what C gets. The three gets Rs.675 in all. Find the share of B?
|
[
"130",
"120",
"218",
"140",
"145"
] |
A+B+C = 675
A = 3B
3B+B+B-25 = 675
5B = 700
B = 140
Answer: D
The answer is: D
|
D
|
mathematics
|
A person says that their speed while going to a city was 10mph however while
returning as there is no much traffic they came with a speed of 15mph. what is their
average speed?
|
[
"12",
"13",
"14",
"15",
"16"
] |
Avg speed= 2xy/x+y
Hence Ans: 12
ANSWER:A
The answer is: A
|
A
|
mathematics
|
Kim purchased n items from a catalog for $8 each. Postage and handling charges consisted of $5 for the first item and $1 for each additional item. Which of the following gives the total dollar amount for Kim’s purchase, including postage and handling, in terms of n ?
|
[
"8n + 2",
"8n + 4",
"9n + 2",
"9n + 3",
"9n + 4"
] |
its C
n items for $8 each
total price $8n
postage and handling of $3 for 1st item and $1 for the rest
total postage and handling = $ [5+ (n-1)]
= $ n+4
total cost
8n+n+4 = 9n+4
E
The answer is: E
|
E
|
mathematics
|
On retirement, a person gets 1.53 lakhs of his provident fund which he invests in a scheme at 20% p.a. His monthly income from this scheme will be
|
[
"2,450",
"2,500",
"2,550",
"2,600",
"None of these"
] |
Let S.I. = x
= 1.53×10(5)×20/100
= 2,500
Answer B
The answer is: B
|
B
|
mathematics
|
In a coconut grove, (x + 3) trees yield 60 nuts per year, x trees yield 120 nuts per year and (x – 3) trees yield 180 nuts per year. If the average yield per year per tree be 100, find x.
|
[
"3",
"4",
"5",
"6",
"None of the above"
] |
(x+3)×60+x×120+(x−3)×180/(x+3)+x+(x−3)=100
⇒ 360x−360/3x = 100
⇒ 60x = 360 ⇒ x = 6
Answer D
The answer is: D
|
D
|
mathematics
|
Alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 6 ice-cream cups. The cost of each chapati is Rs.6, that of each plate of rice is Rs.45 and that of mixed vegetable is Rs.70. The amount that Alok paid the cashier was Rs.931. Find the cost of each ice-cream cup?
|
[
"25",
"76",
"29",
"12",
"20"
] |
Explanation:
Let the cost of each ice-cream cup be Rs.x
16(6) + 5(45) + 7(70) + 6(x) = 931
96 + 225 + 490 + 6x = 931
6x = 120 => x = 20.
Answer:E
The answer is: E
|
E
|
mathematics
|
What is the smallest positive integer x, such that 1,152x is a perfect cube?
|
[
"4",
"6",
"8",
"12",
"18"
] |
We need to make 1152x a perfect cube, hence we need to have the powers a multiple of 3
1152 = 2^7*3^2
The minimum value of x for which 1152x is a perfect cube = 2^2*3 = 12
Correct Option: D
The answer is: D
|
D
|
mathematics
|
There are 100 students in a certain geometry class. If one half of the students are boys and one fifth of the boys are under six feet tall, how many boys in the class are under six feet tall?
|
[
"6",
"10",
"18",
"24",
"27"
] |
Total Students = 100
One half of the students are boys = 1/2*100 = 50
One fifth of the boys are under six feet tall = 1/5*50 = 10 ...
Therefore Number of boys in the class under six feet tall = 10 ... Answer B....
Alternatively... Number of boys in the class under six feet tall = 1/5 of 1/2 of Total Students = 1/5*1/2*100 = 10...
Answer B
The answer is: B
|
B
|
mathematics
|
In how many ways the letters of the word MOUSE be arranged?
|
[
"140",
"150",
"160",
"120",
"170"
] |
Total ways of arranging the letters = 5! = 120 ways.
D)
The answer is: D
|
D
|
mathematics
|
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
|
[
"100 m",
"350 m",
"25 m",
"30 m",
"35 m"
] |
Explanation:
Speed = 300/18 = 50/3 m/sec.
Let the length of the platform be x meters.
Then, (x + 300)/39 = 50/3
3x + 900 = 1950 => x = 350 m.
Answer:B
The answer is: B
|
B
|
mathematics
|
If each year the population of the country grows by 50%, how many years will elapse before the population of the country doubles?
|
[
"3",
"4",
"2",
"6",
"7"
] |
Till Year 2000, population is 100 .
Year 2001: Population becomes 150 ............. 1 Year elapsed
Year 2002: Population > 200 ............. 2 Year elapsed
Answer:C
The answer is: C
|
C
|
mathematics
|
In one year, the population, of a village increased by 12% and in the next year, it decreased by 12%. If at the end of 2nd year, the population was 14784, what was it in the beginning?
|
[
"7787",
"8000",
"15000",
"1277",
"2081"
] |
x*112/100 * 88/100 = 14784
X*0.9856=14784
X=14784/0.9856
=> 15000
Answer:C
The answer is: C
|
C
|
mathematics
|
A fair silver coin with sides marked heads and tails is to be tossed eight times. What is the probability that the coin will land tails side up more than five times?
|
[
"A)37/256",
"B)56/256",
"C)65/256",
"D)70/256",
"E)81/256"
] |
Landing on tails more than 5 times means tails has to hit 6, 7 or 8 times.
8!/6!2! = 7*4 = 28
8!/7!1! = 8
8!/8! = 1
28 + 8 + 1 = 37/256
ans:A
The answer is: A
|
A
|
mathematics
|
By selling a book for 300, 20% profit was earned. What is the cost price of the book?
|
[
"A)215",
"B)250",
"C)230",
"D)235",
"E)240"
] |
SP = 120% of CP; :. CP = 300 × 100/120 = 250
Option 'B'
The answer is: B
|
B
|
mathematics
|
Of the two square fields, the area of the one is 1 hectare, while anothe one is broader by 1%. There differences in area is:
|
[
"201 m(power)2",
"220 m(power)2",
"211 m(power)2",
"219 m(power)2",
"205 m(power)2"
] |
Area of one square field = 10000 m(power)2
10000 × 1 = 10000
Side of this field = √10000 m = 100 m
Side of another square = 101 m
Difference of areas = [ 101(power)2 - 100(power)2 ] m(power)2
[101+100][101-100] m(power)2
(201)(1) m2 = 201 m(power)2
Answer is A.
The answer is: A
|
A
|
mathematics
|
Find the greatest number which on dividing 1661 and 2045, leaves a reminder of 10 and 13 respectively
|
[
"125",
"127",
"129",
"131",
"150"
] |
Explanation:
In this type of question, its obvious we need to calculate the HCF, trick is
HCF of (1661 - 10) and (2045 -13)
= HCF (1651, 2032) = 127
Option B
The answer is: B
|
B
|
mathematics
|
Ravi's 4days average income is 1025.68. But in a form he should write his average income as the greatest positive even integer less than or equal to his 4days average income. what is the difference between his real average and form filling average?
|
[
"2",
"4.3",
"1.68",
"1.5",
"3.2"
] |
Since Ravi's 4days average income for form filling is defined as the greatest positive even integer less than or equal to his avg income, then avg income for form filling =1024 (the greatest positive even integer less than or equal to 1025.68 is 1024).
Hence the difference = 1025.68 - 1024 = 1.68
Answer: C.
The answer is: C
|
C
|
mathematics
|
The average age of A and B is 13 years. If C were to replace A, the average would be 24 and if C were to replace B, the average would be 36. What are the age of A, B and C?
|
[
"22, 18, 20",
"20, 20, 18",
"24, 0, 48",
"25, 01, 47",
"None of the above"
] |
Given A + B = 26…(i)
C + B = 48 … (ii)
A + C = 72…(iii)
(i) + (ii) + (iii) ⇒ A + B + C = 73…(iv)
from (i) and (iv), we get
C = 47 years
∴ B = 1 years and A = 25years
Answer D
The answer is: D
|
D
|
mathematics
|
What is the least possible product of 4 different integers, each of which has a value between –6 and 10, inclusive?
|
[
"–4320",
"–3600",
"–720",
"–600",
"–120"
] |
Maximize the total product with a -ve sign
so -6 * 10 * 9 * 8 = 720 * -6 = -4320
Answer is A.
The answer is: A
|
A
|
mathematics
|
A certain lab experiments with white and brown mice only. In one experiment, 3/7 of the mice are white. If therare24 brown mice in the experiment, how many mice in total are in the experiment?
|
[
"14",
"16",
"18",
"12",
"20"
] |
Let total number of mice = M
Number of white mice = 3/7 M
Number of brown mice = 4/3 M = 18
=> M = 18
Answer C
The answer is: C
|
C
|
mathematics
|
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.12 of money?
|
[
"1200",
"1992",
"9921",
"2798",
"2789"
] |
P = 12(100/10)2
=> P = 1200
Answer: A
The answer is: A
|
A
|
mathematics
|
In a certain state, the ratio of registered Republicans to registered Democrats is 3 to 2, and every registered voter is either a Republican or a Democrat. If 80 percent of the Republicans and 25 percent of the Democrats are expected to vote for Candidate X, and everyone else is expected to vote for Candidate Y, by what percent is Candidate X expected to win the election?
|
[
"2%",
"5%",
"16%",
"20%",
"25%"
] |
Since we were expected to find a percentage figure - It thought that it might be easier to pick a 'smart number' to represent the total number of voters (republicans and democrats). Therefore, I picked 100 (as the total number of voters) and thus 30:20 represents the number ratio of Republicans:Democrats. If 80% of Republicans (which is (60*0.8) = 48) and 25% of Democrats (40*0.25 = 10) voted for candidate X, means that out of total of 100 voters; 58 (48 + 10) voters voted for candidate X and 42 voted for candidate Y. Thus we can infer that candidate X is expected to win the election by 16 (58-42) votes. Therefore candidate X is expected to win the election by (16/100) votes which is equivalent to 16%.
I think the answer is C.
The answer is: C
|
C
|
mathematics
|
A person starting with Rs.64 and making 6 bets, wins three times and loses 3times, the wins and loses occurring in random order. The chance for a win is equal to the chance for a loss. If each wager is for half the money remaining at the time of the bet, then the final result is?
|
[
"Rs.37",
"Rs.56",
"Rs.65",
"Rs.76",
"Rs.81"
] |
As the win leads to multiplying the amount by 1.5 and loss leads to multiplying the amount by 0.5, we will multiply initial amount by 1.5 thrice and by 0.5 thrice (in any order).
The overall resultant will remain same.
So final amount with the person will be (in all cases):
=64(1.5)(1.5)(1.5)(0.5)(0.5)(0.5)==64(1.5)(1.5)(1.5)(0.5)(0.5)(0.5)= Rs 2727
Hence the final result is:
64−27=3764−27=37:
A loss of Rs.37
A
The answer is: A
|
A
|
mathematics
|
If xy is an integer, which of the following must also be an integer?
I. x/y
II. x
III. y/x
|
[
"I alone",
"II alone",
"I and II",
"I and III",
"None of the above"
] |
Lets take X = 3 and Y = 7
Then XY = 21 which is an integer.
But X/Y = 3/7 --> Not an integer.
Y/X = 7/3 --> Not an integer.
X alone is 3. which is an integer.
Hence B.
The answer is: B
|
B
|
mathematics
|
If x/y=4 and y is not '0' what % of x is 2x-y
|
[
"150%",
"175percent",
"200%",
"250%",
"350%"
] |
let z be the percent
x*z/100= 2x-y
zx=7y* 100
z=700y/4y
z=350/2
z=175%
ANSWER:B
The answer is: B
|
B
|
mathematics
|
If A^4 + B^4 = 100, then the greatest possible value of B is between
|
[
"0 and 1",
"1 and 2",
"2 and 3",
"3 and 4",
"4 and 5"
] |
for the greatest possible value of B^4, we must minimize the value of B^4 i.e. lets say A^4 = 0
then we need to find a number B such that B^4 < 100. 3^4 = 81 and 4^4 = 256 so we can say that the maximum possible value of B can be a little more than 3 hence answer = between 3 and 4
hence D
The answer is: D
|
D
|
mathematics
|
If positive integers x is even and y is odd, which of the following must be odd?
|
[
"2xy",
"3x+y-1",
"x+y",
"x + y -1",
"3(x + y) - 3"
] |
Let x = 2 and y = 1
2xy = 2*2*1 = 4
3x+y-1 = 3*2 + 1 -1 = 6
x+y = 2+1 = 3
x+y-1 = 2+1-1 = 2
3(x+y) - 3 = 6+3-3 = 6
Answer: C
The answer is: C
|
C
|
mathematics
|
#p is defined as 2p-20 for any number p. What is p, if #(#(#p))=12?
|
[
"–108",
"19",
"10",
"16",
"18"
] |
#p = 2p-20 --->#(#p) = 2(2p-20)-20 = 4p-60 and thus #(4p-60) = 2(4p-60)-20 = 8p-140 = 12 ---> 8p= 152 ---> p = 19, B is the correct answer.
The answer is: B
|
B
|
mathematics
|
Tough and Tricky questions: Percents.
Over the course of a year, a certain microbrewery increased its beer output by 50 percent. At the same time, it decreased its total working hours by 0 percent. By what percent did this factory increase its output per hour?
|
[
"125",
"130",
"150",
"155",
"160"
] |
Lets assume the initial production was 100 litres of beer for 100 hr.
With the 50% increase the total amount of beer production will be 150 litres
100hr ----> 100 lts
1hr -----> 1 lts
100hr -----> 150 lts
1hr -----> 1.5 lts
Total Increase in production for 1 hr = 150%
Answer C
The answer is: C
|
C
|
mathematics
|
How many positive integers less than 100 have a reminder 5 when divided by 7?
|
[
"11",
"12",
"13",
"14",
"15"
] |
take the multiples of 7 and add 5
0X7+5=5 ....13X7+5=96
there are 14 numbers
answer D
The answer is: D
|
D
|
mathematics
|
If a 3-member subcommittee is to be formed from a certain 8-member committee, how many different such subcommittee are possible?
|
[
"6",
"18",
"40",
"108",
"216"
] |
Another way:
1st member can be selected in 8 ways
2nd can be selected in 6 ways
3rd can be selected in 5 ways
So total ways : 240
But to avoid the similar scenarios 240/3!=40
C
The answer is: C
|
C
|
mathematics
|
Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is?
|
[
"8428",
"8199",
"8400",
"8419",
"8412"
] |
Ratio of their shares = 22500 : 35000 = 9:14
Deepak's share = 13800 * 14/23
= Rs. 8400.
Answer:C
The answer is: C
|
C
|
mathematics
|
At 6′o a clock ticks 6 times. The time between first and last ticks is 40 seconds. How long does it tick at 12′o clock
|
[
"47",
"88",
"28",
"66",
"11"
] |
Explanation:
For ticking 6 times, there are 5 intervals.
Each interval has time duration of 40/5 = 8 secs
At 12 o'clock, there are 11 intervals,
So total time for 11 intervals = 11 × 8 = 88 secs.
Answer: B
The answer is: B
|
B
|
mathematics
|
How many seconds will a 600 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
|
[
"22",
"36",
"99",
"77",
"12"
] |
Speed of train relative to man = 63 - 3 = 60 km/hr.
= 60 * 5/18 = 50/3 m/sec.
Time taken to pass the man = 600 * 3/50 = 36 sec.
Answer: B
The answer is: B
|
B
|
mathematics
|
Convert the following into a fraction:1.0%
|
[
"1/1",
"10/1",
"1/10",
"1/100",
"None of the Above"
] |
1.0% =1/1
Answer is A.
The answer is: A
|
A
|
mathematics
|
In a group of hats consisting of only blue hats, green hats, and purple hats, the ratio of blue hats to green hats to purple hats is 7:4:12. If there are a total of 161 hats in this group, how many of these hats are not blue?
|
[
"28",
"112",
"48",
"64",
"76"
] |
B:G:P = 7:4:12 --> total of 23 parts.
Not blue = (G + P)/(total)*92 = 16/23*161 = 112.
Answer: B.
The answer is: B
|
B
|
mathematics
|
A luxury liner, Queen Marry II, is transporting several cats as well as the crew (sailors, a cook, and captain) to a nearby port. Altogether, these passengers have 15 heads and 42 legs. How many cats does the ship host?
|
[
"5",
"6",
"7",
"8",
"9"
] |
sa's +co +ca +cats = 15. sa's + 1 +1 +cats =15 or sa's +cats =13.
sa's(2) +2 +2 +cats*4 =42 sa's*2 +cats*4 = 38 or sa's +cats*2 =19 or 13-cats +cat*2 =19
then cats =6
B
The answer is: B
|
B
|
mathematics
|
If a tire rotates at 400 revolutions per minute when the car is traveling 72km/h, what is the circumference of the tire?
|
[
"7 meters",
"9 meters",
"8 meters",
"5 meters",
"3 meters"
] |
400 rev / minute = 400 * 60 rev / 60 minutes
= 24,000 rev / hour
24,000 * C = 72,000 m : C is the circumference
C = 3 meters
correct answer E
The answer is: E
|
E
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.