subject
stringclasses 1
value | question
stringlengths 3
1.14k
| options
listlengths 5
5
| solution
stringlengths 18
3.7k
| answer
stringclasses 5
values |
---|---|---|---|---|
mathematics
|
When a certain shoe store reduces the price of its best-selling style of shoe by 20 percent, the weekly sales of this style increase by 10 percent. Which of the following best describes the resulting change in the store's weekly revenue from sales of this style of shoe?
|
[
"Revenue decreases by 10%",
"Revenue decreases by 12%",
"There is no change in revenue",
"Revenue increases by 12%",
"Revenue increases by 10%"
] |
Old price = 10, old sales = 10 --> old revenue = 100;
New price = 8, new sales = 11 --> new revenue = 88.
Revenue decreased by 12%.
Answer: B.
The answer is: B
|
B
|
mathematics
|
A rectangular cube has a volume of 6 cubic feet. If a similar cube is twice as long, twice as wide, and twice as high, then the volume, in cubic feet of such cube is?
Choices
|
[
"24",
"48",
"64",
"80",
"100"
] |
Lets say the sides of the rectangular cube are x, y and z. Problem states volume is 6.
i.e,
x*y*z = 6 .
If every side is increased twice as before. then new volume is
2x*2y*2z = 8*(x*y*z) = 8*6 = 48.
Answer is B
The answer is: B
|
B
|
mathematics
|
If two 2-digit positive integers have their respective tens digits exchanged, the difference between the pair of integers changes by 4. What is the greatest possible difference between the original pair of integers?
|
[
"76",
"80",
"82",
"90",
"94"
] |
For maximizing most of 2 digit integer questions, you will have numbers closes to 90s and 10s.
Start with 10 and 99 you see that the differences are 89 (=99-10) and 71 (=90-19) giving you a change of 89-71=18, a lot more than 4.
Next check with 15 and 99, you get 84 (=99-15) and 76 (=95-19), you get 84-76=8. Thus the difference has been decreasing.
Finally check with 99 and 17, you get 82 (=99-17) and 78 (=97-19), giving you 82-78 = 4 . This is the answer.
Thus, the maximum difference is 99-17=82. C is the correct answer.
The answer is: C
|
C
|
mathematics
|
If x^2 + 9/x^2 = 7, what is the value of x - 3/x
|
[
"1",
"25",
"9",
"5",
"3"
] |
To find : x-3/x. Let it be t.
=> x-3/x = t
=> (x^2 + 9/x^2) - 2*x*3/x = t^2 (Squaring both sides).
=> (7) - 2*3 = 1
=> t^2 = 1. Thus t=1 or t=-1.
Answer A
The answer is: A
|
A
|
mathematics
|
The rate of spin of a certain gyroscope doubled every 10 seconds from the moment a particular stopwatch started. If after a minute and a half the gyroscope reached a speed of 1600 meters per second, what was the speed, in meters per second, when the stopwatch was started?
|
[
"25/3",
"25/4",
"25/8",
"25/16",
"25/32"
] |
Let x be the original speed when the stopwatch was started.
In 90 seconds, the speed doubled 9 times.
2^9 * x = 1600
x = (2^6 * 25) / 2^9 = 25/8
The answer is C.
The answer is: C
|
C
|
mathematics
|
A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 1500. The difference between the profit shares of A and C is?
|
[
"621",
"276",
"236",
"600",
"211"
] |
Explanation:
Ratio of investments of A, B and C is 8000 : 10000 : 12000 = 4 : 5 : 6
And also given that, profit share of B is Rs. 1500
=> 5 parts out of 15 parts is Rs. 1500
Now, required difference is 6 - 4 = 2 parts
Required difference = 2/5 (1500) = Rs. 600
Answer: D
The answer is: D
|
D
|
mathematics
|
Two same glasses are respectively 1/4th 1/5th full of milk. They are then filled with water and the contents mixed in a tumbler. The ratio of milk and water in the tumbler is?
|
[
"9:37",
"9:31",
"9:27",
"9:19",
"9:17"
] |
1/4 : 3/4 = (1:3)5 = 5:15
1/5 : 4/5 = (1:4)4 = 4:16
------
9:31
Answer: B
The answer is: B
|
B
|
mathematics
|
A committee of 3 has to be formed randomly from a group of 6 people. If Tom and Mary are in this group of 6, what is the probability that Tom will be selected into the committee but Mary will not?
|
[
".1",
".2",
"3/10",
".4",
".5"
] |
C (3,6) - all the possible arrangements
C(2,4) is the number of ways the committe with Tom and without Mary.
P = C(2,4)/(C 3,6) = 3/10 C
The answer is: C
|
C
|
mathematics
|
For which of the following functions f is f(b) = f(1-b) for all b?
|
[
"f (x) = 1 - x",
"f (b) = 1 - b^2",
"f (b) = b^2 - (1 - b)^2",
"f (b) = b^2*(1 - b)^2",
"f (x) = x/(1 - x)"
] |
I remember seeing this problem in a GMATprep test. I think choice D should be F(b)=(b^2) (1-b)^2. If that is true then substituting (1-b) for will give us the same function back and the answer choice is D, where the function is multiplicative
The answer is: D
|
D
|
mathematics
|
What is the greatest value of n such that 18^n is a factor of 18! ?
|
[
"1",
"2",
"3",
"4",
"5"
] |
We know that 18 = 2 *3^2.
Hence, we need to find total number of 3s in 18! ( As out of 3 and 2 , we will have count of 3 least)
No. of 3s = 18/3 = 6/3 = 2.
Add the numbers in Bold, you will get total number of 3s = 8.
Hence, total number of 3^2 = 8/2 = 4.
Hence, answer is 4.
ANSWER:D
The answer is: D
|
D
|
mathematics
|
An error 5% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is
|
[
"10.4%",
"10.25%",
"10.23%",
"10.26%",
"10.5%"
] |
100 cm is read as 102 cm.
A1 = (100 x 100) cm2 and A2 (105 x 105) cm2.
(A2 - A1) = [(105)2 - (100)2]
= (105 + 100) x (105 - 100)
= 1025 cm2.
Percentage error = 10.25
B
The answer is: B
|
B
|
mathematics
|
Parameshwaran invested an amount of 12,000 at the simple interest rate of 10 pcpa and another amount at the simple interest rate of 20 pcpa. The total interest earned at the end of one year on the total amount invested became 14 pcpa. Find the total amount invested
|
[
"22,000",
"25,000",
"20,000",
"24,000",
"None of these"
] |
Let the amount invested at 20% rate be x. According to the question,
12000 × 10⁄100 + x × 20⁄100 = (12000 + x) × 14⁄100
or, 1200 + x⁄5 = 1680 + 7⁄50x
or, x⁄5 - 7⁄50x = 480
or, 3⁄50x = 480
\ x = 8000
\ Total amount invested = (12000 + 8000)= 20000
Answer C
The answer is: C
|
C
|
mathematics
|
A car covers a distance of 624 km in 6 ½ hours. Find its speed?
|
[
"104",
"376",
"1267",
"198",
"621"
] |
624/6 = 104 kmph
Answer: A
The answer is: A
|
A
|
mathematics
|
If x=2y=4z, what is y-z, in terms of x?
|
[
"2x",
"x/2",
"x/4",
"3x/5",
"3x/7"
] |
x=2y=4z
x/4 = z
and y = x/2
y-z = x/2 - x/4 = x/4
Answer is C
The answer is: C
|
C
|
mathematics
|
Mario and Nina each have a bag of marbles, each of which contains 5 blue marbles, 10 red marbles, and 5 white marbles. If Mario and Nina each select one marble from their respective bags, what is the probability that either Mario or Nina select a red marble?
|
[
"3/4",
"1/4",
"2/4",
"1/8",
"1/16"
] |
Mario and Nina each select one marble from their respective bags.
Probability that either Mario or Nina select a red marble = Probability that Mario selects a red marble + Probability that Nina selects a red marble
Probability that either Mario or Nina select a red marble = (10/20)*(10/20) + (10/20)*(10/20) = 2*(1/4)
Probability that either Mario or Nina select a red marble = 1/2
Answer would be C.
The answer is: C
|
C
|
mathematics
|
A car covers a distance of 624 km in 4 hours. Find its speed?
|
[
"104 kmph",
"126 kmph",
"156 kmph",
"174 kmph",
"101 kmph"
] |
624/4
=156 kmph
Answer:C
The answer is: C
|
C
|
mathematics
|
A certain sum of money at simple interest amounted Rs.840 in 10 years at 3% per annum, find the sum?
|
[
"337",
"299",
"277",
"646",
"271"
] |
840 = P [1 + (10*3)/100]
P = 646
Answer: D
The answer is: D
|
D
|
mathematics
|
The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
|
[
"3",
"7",
"8",
"5",
"1"
] |
S = 4
M = x
DS = x + 4
US = x - 4
6/(x + 4) + 6/(x - 4) = 2
x = 8
Answer:C
The answer is: C
|
C
|
mathematics
|
5358 x 81 = ?
|
[
"423762",
"433758",
"433298",
"433998",
"437382"
] |
D
273258
5358 x 81 = 5358 x (80 + 1)
= 5358 x 80 + 5358 x 1
= 428640 + 5358
= 433998
The answer is: D
|
D
|
mathematics
|
If the simple interest on a sum of money for 5 years at 18% per annum is Rs. 900, what is the compound interest on the same sum at the rate and for the same time?
|
[
"Rs. 1287.76",
"Rs. 1284.76",
"Rs. 1587.76",
"Rs. 1266.76",
"Rs. 1283.76"
] |
Sum = (900 * 100) / (5 * 18) = Rs. 1,000.00
C.I. on Rs. Rs. 1,000.00 for 5 years at 18% = Rs. 2,287.76.
= Rs. 2,287.76 - 1,000.00 = Rs. 1287.76
ANSWER:A
The answer is: A
|
A
|
mathematics
|
75% of x is greater than 1/3rd of x by 110.what is x?
|
[
"160",
"264",
"360",
"354",
"400"
] |
75x/100-x/3=110
5x/12=110
x=264
ANSWER:B
The answer is: B
|
B
|
mathematics
|
A number whose fifth part increased by 2 is equal to its fourth part diminished by 2 is ?
|
[
"160",
"80",
"200",
"220",
"None"
] |
Answer
Let the number be N.
Then, (N/5) + 2 = (N/4) - 2
⇒ (N/4) - (N/5) = 4
⇒ (5N - 4N)/20 = 4
∴ N = 80
Option: B
The answer is: B
|
B
|
mathematics
|
Solve the following quadratic equation by factoring.
|
[
"-2,7",
"2,-7",
"1,8",
"1,-8",
"2,6"
] |
We already have zero on one side of the equation, which we need to proceed with this problem. Therefore, all we need to do is actually factor the quadratic.
Therefore the two solutions are : (u+2)(u-7)=0 -> (u+2)(u-7)=0 therefore u=-2, u=7
ANSWER A -2,7
The answer is: A
|
A
|
mathematics
|
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
|
[
"40 sec",
"32 sec",
"12 sec",
"85 sec",
"56 sec"
] |
Answer: Option A
Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 2/25 = 40 sec
The answer is: A
|
A
|
mathematics
|
If YWVSQ is 25 - 21 - 21 - 19 - 17, Then MKIGS
|
[
"13 - 11 - 9 - 7 - 9",
"13 - 11 - 6 - 7 - 6",
"13 - 11 - 9 - 7 - 7",
"13 - 11 - 9 - 7 - 3",
"13 - 11 - 9 - 7 - 1"
] |
MKIGS = 13 - 11 - 6 - 7 - 6
Note: this is a dummy question. Dont answer these questions
Answer:B
The answer is: B
|
B
|
mathematics
|
Of the 600 residents of Clermontville, 35% watch the television show Island Survival, 40% watch Lovelost Lawyers and 50% watch Medical Emergency. If all residents watch at least one of these three shows and 18% watch exactly 2 of these shows, then how many Clermontville residents V watch all of the shows?
|
[
"150",
"108",
"42",
"21",
"-21"
] |
OA is D.
100= A+B+C-AB-AC-BC+ABC, which is the same as the following formula
100= A+B+C+(-AB-AC-BC+ABC+ABC+ABC)-2ABC.
The term between parantheses value 18% so the equation to resolve is
100=35+40+50-18-2ABC
therefore the value of ABC is 3.5% of 600,V is 21. D is the correct answer
The answer is: D
|
D
|
mathematics
|
If 5 workers collect 48 kg of cotton in 4 days, how many kg of cotton will 9 workers collect in 2 days?
|
[
"47.6 kg",
"52.6 kg",
"59.6 kg",
"56.6 kg",
"57.6 kilogram"
] |
(3 * 5)/48 = (9 * 2)/ x
x = 57.6 kg
ANSWER:E
The answer is: E
|
E
|
mathematics
|
If f(x) = x - 4, then (f o f)(3) = ?
|
[
"-5",
"-4",
"-6",
"-3",
"-7"
] |
(f o f)(3) = f(f(3)) = f(3 - 4) = f(-1) = - 5
correct answer A
The answer is: A
|
A
|
mathematics
|
A jogger running at 9 km/hr along side a railway track is 290 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
|
[
"67 sec",
"89 sec",
"36 sec",
"87 sec",
"41 sec"
] |
Speed of train relative to jogger = 45 - 9 = 36 km/hr.
= 36 * 5/18 = 10 m/sec.
Distance to be covered = 290 + 120 =410 m.
Time taken = 410/10
=41 sec.
Answer: E
The answer is: E
|
E
|
mathematics
|
The avg weight of A,B & C is 84 kg. If D joins the group, the avg weight of the group becomes 80 kg.If another man E who weights is 4 kg more than D Replaces A, Then the avgof B,C,D&E becomes 79 kg. What is the weight of A?
|
[
"76",
"65",
"75",
"89",
"90"
] |
A + B + C = 3 *84 = 252
A + B + C + D = 4 * 80 = 320 ---- (i)
So, D = 68& E = 68 + 4 = 72
B + C + D +E = 79 * 4 = 316 --- (ii)
From Eq. (i) & (ii)
A-E = 320 – 316 = 4
A = E +4 = 72 + 4 = 76
A
The answer is: A
|
A
|
mathematics
|
A train , having a length of 330 meter is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that of the train
|
[
"10 sec",
"18 sec",
"6 sec",
"4 sec",
"2 sec"
] |
Explanation:
Distance = 330 m
Relative speed = 60+6 = 66 kmph (Since both the train and the man are in moving in opposite direction)
= 66×10/36 mps = 110/6 mps
Time = distance/speed =330/(110/6) = 18 s
Answer: Option B
The answer is: B
|
B
|
mathematics
|
There are 40 balls which are red, blue or green. If 15 balls are green and the sum of red balls and green balls is less than 25, at most how many red balls are there?
|
[
"4",
"5",
"6",
"7",
"9"
] |
r+g+b=40
g=15
r + g < 25
=> r + 15 < 25
=> r < 10
=> at most 6 red balls
ANSWER:E
The answer is: E
|
E
|
mathematics
|
What is x if x + 2y = 10 and y = 4?
|
[
"A)10",
"B)8",
"C)6",
"D)4",
"E)2"
] |
x = 10 - 2y
x = 10 - 8.
x = 2
Answer : E
The answer is: E
|
E
|
mathematics
|
R campers fished for 7 hours. If m of the campers caught 2 fish apiece and the rest caught a combined total of n fish, how many fish did the R campers catch per hour?
|
[
"2m + n(R-m)",
"(2m + n(R-m))/3",
"(2m + n(m-R))/3",
"(2m + n)/7",
"(2m + n)/R"
] |
m of the campers caught 2 fish apiece in 7 hours --> total fish caught by m campers = 2m;
The rest caught a combined total of n fish.
Total fish caught in 7 hours = 2m+n --> per hour (2m+n)/7.
Answer: D.
The answer is: D
|
D
|
mathematics
|
A housewife has 11 litre of solution that contains sodium carbonate solution and benzene solution in the ratio 3 : 1. She adds 250 ml of 3 : 2 solution of sodium carbonate and benzene solution to it and then uses 250 ml of the combined mixture to make strong organic solution How much of pure sodium carbonate solution is she left with?
|
[
"1000 ml",
"912.5 ml",
"750 ml",
"720 ml",
"630 ml"
] |
ln a mixture of 1,000 ml sodium carbonate : benzene solution = 3 : 1.
Hence, sodium carbonate: 750 ml benzene solution 250 ml
A 250 ml of 3 : 2 solution contains 150 ml sodium carbonate solution and l00ml benzene solution.
Total sodium carbonate solution = 900 ml, total benzene solution = 350 ml
After using 250 ml to make strong organic solution , sodium carbonate solution used
= 250/1250 x 900 = 180 ml
pure sodium carbonate solution left = 900 -180 =720ml
ANSWER:D
The answer is: D
|
D
|
mathematics
|
Find the number of square tiles to cover the floor of a room measuring 6 m * 10 m leaving 0.50 m space around the room. A side of square tile is given to be 50 cms?
|
[
"100",
"180",
"277",
"18",
"150"
] |
5*9= 1/2 * 1/2 * x => x =180
Answer: B
The answer is: B
|
B
|
mathematics
|
Tickets for all but 100 seats in a 10,000-seat stadium were sold. Of the tickets sold, 10% were sold at half price and the remaining tickets were sold at the full price of $2. What was the total revenue from ticket sales?
|
[
"$15,840",
"$17,820",
"$18,000",
"$19,800",
"$18,810"
] |
10000 seats --> Full Price : Half Price = 9000 : 1000
Price when all seats are filled = 18000 + 1000 = 19000
100 seats are unsold --> Loss due to unfilled seats = 10 + 2*90 = 190
Revenue = 19000 - 190 = 18810
Answer: E
The answer is: E
|
E
|
mathematics
|
What is the absolute value of twice the difference of the roots of the equation J= 5y^2 − 20y + 15 = 0 ?
|
[
"0",
"1",
"2",
"3",
"4"
] |
J=5y^2 − 20y + 15 = 0 --> y^2 − 4y + 3 = 0 --> y=1 or y=3. The difference is 2, twice the difference is 4.
Answer: E.
The answer is: E
|
E
|
mathematics
|
Harish can paint a wall in just 3 hours. However it takes 6 hours for Ganpat to complete the same job of painting the wall.
How long would it take for both of them to paint the wall , if both work together ?
|
[
"3 Hours",
"1 Hours",
"3.20 Hours",
"2 Hours",
"1.35 Hours"
] |
D
Two hours.
Harish who could paint the wall in 3 hours could paint 2/3 of the wall in just two hours. Ganpat who paint the wall in 6 hours could paint 1/3 of the wall in two hours.
2/3 + 1/3 = 1.
The answer is: D
|
D
|
mathematics
|
What approximate value should come in place of the question mark (?) in the following equation?
8.539 + 16.84 × 6.5 ÷ 4.2 = ?
|
[
"25",
"42",
"44",
"35",
"None of these"
] |
? 8.6 + 4 × 6.5 = 35
Answer D
The answer is: D
|
D
|
mathematics
|
Simplify
25+[5−(6+2(7−8−5¯¯¯¯¯¯¯¯¯¯¯))]
|
[
"23",
"25",
"28",
"30",
"16"
] |
Explanation:
=25+[5−(6+2(7−8+5))]
(Please check due to overline, sign has been changed)
=25+[5−(6+2×4))]
=25+[−9]=25-9=16
Option E
The answer is: E
|
E
|
mathematics
|
The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age was five times the age of the son. After 6 years, son's age will be?
|
[
"7:9",
"7:3",
"7:2",
"7:9",
"7:1"
] |
Let the age of father and son 10 years ago be 3x and x years respectively.
Then, (3x + 10) + 10 = 2[(x + 10) + 10]
3x + 20 = 2x + 40 => x = 20.
Required ratio = (3x + 10):(x + 10) = 70:30 = 7:3
Answer:B
The answer is: B
|
B
|
mathematics
|
Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 10200, how much money did he borrow?
|
[
"10000",
"80288",
"2668",
"2600",
"2781"
] |
Let the sum be Rs. x. Then,
[(x * 6 * 3)/100] + [(x * 9 * 5)/100] + [(x * 13 * 3)/100] = 10200
18x + 45x + 39x = (10200 * 100)
102x = 1020000 => x = 10000.
Answer:A
The answer is: A
|
A
|
mathematics
|
A perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer. How many positive integers n are there such that n is less than 1,000 and at the same time n is a perfect square and a perfect cube?
|
[
"2",
"3",
"4",
"5",
"6"
] |
Given: positive integer n is a perfect square and a perfect cube --> n is of a form of n=x6 for some positive integer x --> 0<x^6<10^3 --> 0<x^2<10 --> x can be 1, 2 or 3 hence nn can be 1^6, 2^6 or 3^6.
Answer: B.
The answer is: B
|
B
|
mathematics
|
The area of sector of a circle whose radius is 12 metro and whose angle at the center is 39° is?
|
[
"40m2",
"45m2",
"49m2",
"51m2",
"55m2"
] |
39/360 * 22/7 * 12 * 12
= 49m2
Answer:C
The answer is: C
|
C
|
mathematics
|
In a certain alphabet, 11 letters contain a dot and a straight line. 24 letters contain a straight line but do not contain a dot. If that alphabet has 40 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?
|
[
"5",
"8",
"14",
"20",
"28"
] |
We are told that all of the letters contain either a dot or a straight line or both, which implies that there are no letters without a dot and a line (no line/no dot box = 0).
First we find the total # of letters with lines: 11 +24 = 35;
Next, we find the total # of letters without line: 40 - 35 = 5;
Finally, we find the # of letters that contain a dot but do not contain a straight line: 5 - 0 = 5.
A
The answer is: A
|
A
|
mathematics
|
A man is 24 years older than his son.In two years,his age will be twice the age of his son.The present age of the son is:
|
[
"14 years",
"18 years",
"20 years",
"22 years",
"None of these"
] |
Solution
Let the son's present age be x years.Then,man's present age =(x + 24)years.
∴ (x + 24)+ 2 =2(x + 2) ⇔ x + 26 =2x + 4 ⇔ x =22. Answer D
The answer is: D
|
D
|
mathematics
|
A sum of money deposited at compound interest (compounded yearly) amounts to $6200 in 2 years and to $6324 in 3 years. What is the interest rate?
|
[
"2%",
"3%",
"4%",
"5%",
"6%"
] |
6324 - 6200 = 124
124 / 6200 = 0.02 = 2%
The answer is A.
The answer is: A
|
A
|
mathematics
|
If n is a positive integer and the greatest common divisor of n and 16 is 4, and the greatest common divisor of n and 15 is 3, which of the following is the greatest common divisor of n and 48?
|
[
"12",
"18",
"24",
"30",
"36"
] |
The greatest common divisor of n and 16 is 4 --> n is a multiple of 4 but not a multiple of 8.
The greatest common divisor of n and 15 is 3 --> n is a multiple of 3 but not a multiple of 5.
48=2*3*8 is divisible by 12. therefore the greatest common divisor is 12
A
The answer is: A
|
A
|
mathematics
|
Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.4 km respectively. The time taken by the slower train to cross the faster train in seconds is?
|
[
"12",
"77",
"48",
"99",
"36"
] |
Relative speed = 60 + 90 = 150 km/hr.
= 150 * 5/18 = 125/3 m/sec.
Distance covered = 1.10 + 0.4 = 1.5 km = 1500 m.
Required time = 1500 * 3/125 = 36 sec.
Answer: E
The answer is: E
|
E
|
mathematics
|
In how many ways can a group of 7 men and 5 women be made out of a total of 10 men and 7 women?
|
[
"2200",
"2520",
"2689",
"2540",
"2680"
] |
We need to select 7 men from 10 men and 5 women from 7 women. Number of ways to do this
= 10C7 × 7C5
=2520
B)
The answer is: B
|
B
|
mathematics
|
If the mean of numbers 28, x, 42, 78 and 104 is 90, then what is the mean of 128, 255, 511, 1023 and x?
|
[
"395",
"275",
"355",
"415",
"423"
] |
The mean of numbers 28, x, 42, 78 and 104 is 62: 28+x+42+78+104=90*5 --> x=198;
So, the mean of 128, 255, 511, 1023 and x is (128+255+511+1023+198)/5=423.
Answer: E.
The answer is: E
|
E
|
mathematics
|
If the sum of two numbers is 16 and the sum of their squares is 200, then the product of the numbers is
|
[
"40",
"44",
"80",
"88",
"28"
] |
according to the given conditions x+y = 16
and x^2+y^2 = 200
now (x+y)^2 = x^2+y^2+2xy
so 16^2 = 200+ 2xy
so xy = 56/2 =28
ANSWER:E
The answer is: E
|
E
|
mathematics
|
In a triangle, one side is 6 Cm and another side is 12 Cm. which of the following can be the perimeter of the triangle?
|
[
"18.",
"25.",
"30.",
"32.",
"34."
] |
Given : one side is 6 Cm and another side is 9 Cm. So the 3rd side will be > 3 and < 15. Thus the perimeter will be : 18 < perimeter < 30. Only option satisfying this condition is 32. Hence D.
The answer is: D
|
D
|
mathematics
|
On Monday morning, Chris receives tickets to a baseball game that will be played at 7pm on the next evening that it does not rain. However, Chris is only in town until Wednesday morning, at which point he must fly to another city. If there is a 10% chance of rain each of the next two evenings, what is the probability that Chris will be able to attend the game?
|
[
"36%",
"60%",
"66%",
"80%",
"99%"
] |
Chris won't be able to attend the game if it be raining on Monday eveningandTuesday evening. The probability of that is 0.1*0.1 = 0.01. So, the probability that he will be able to attend is 1 - 0.01 = 0.99.
Answer: E.
The answer is: E
|
E
|
mathematics
|
How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
|
[
"8 years",
"4 years",
"7 years",
"6 years",
"2 years"
] |
Explanation:
Time = (100 x 81)/(450 x 4.5) years
= 4 years.
Answer: B
The answer is: B
|
B
|
mathematics
|
Half a number plus 5 is 15.What is the number?
|
[
"8",
"20",
"10",
"11",
"12"
] |
Let x be the number. Always replace "is" with an equal sign
(1/2)x + 5 = 15
(1/2)x = 15 - 5
(1/2)x = 10
x = 20
correct answer is B
The answer is: B
|
B
|
mathematics
|
25.25/3000 is equal to:
|
[
"0.008416667",
"0.110773333",
"0.12526234",
"0.01072333",
"0.12725002"
] |
25.25/3000 = 2525/300000
= 0.008416667
ANSWER:A
The answer is: A
|
A
|
mathematics
|
The average number of shirts with Salman, Ambani and Dalmiya is 60, if all of them reached a shopping mall in Delhi and purchased 2 shirts each of them then average number of shirt each of them now has
|
[
"66",
"63",
"62",
"64",
"61"
] |
Required average
= Old average + New average
= 60 + 2 = 62
answer :C
The answer is: C
|
C
|
mathematics
|
Question: What is the remainder when I= (1!)!^3 + (2!)^3 + (3!)^3 + … + (432!)^3 is divided by 144?
|
[
"0",
"25",
"49",
"81",
"100"
] |
144 =12 *12
(1!)^3=1
2!=2, therefore (2!)^3=2*2*2=8
3!=6, therefore (3!)^3=6*6*6=216
4!=24 therefore (4!)^3= 24*24*24 which is completely divisible by 144
thus from 4! onwards each term will be divisible by 144 and will leave the remainder of 0
now the remainder when I=(1!)^3 + (2!)^3 + (3!)^3 + … + (432!)^3 is divided by 144 is same as, when 1+8+216 =225 is divided by 144
now remainder when 225 is divided by 144 is 81. hence answer should be D
The answer is: D
|
D
|
mathematics
|
How many positive integers N less than 20 are either a multiple of 2, an odd multiple of 9, or the sum of a positive multiple of 2 and a positive multiple of 9 ?
|
[
"19",
"18",
"17",
"16",
"15"
] |
We're asked to deal with the positive integers LESS than 20. There are only 19 numbers in that group (1 to 19, inclusive). We're asked to find all of the numbers that fit one (or more) of the given descriptions. Looking at the answer choices, we have every value form 15 to 19, inclusive, so most (if not all) of the numbers from 1 to 19 fit one (or more) of the descriptions. How long would it take you to find the ones that DON'T fit.....?
The first several should be pretty easy to find - the prompt wants us to focus on multiples of 2 and 9 (and sums of those multiples). So what ODD numbers are less than 9?
1, 3, 5, 7
None of these values fit the given descriptions. That's 4 out of 19 that we know for sure do NOT fit. 19 - 4 = 15 = E
The answer is: E
|
E
|
mathematics
|
In how many ways can be 7 boys and 7 girls sit around circular table so that no two boys sit next to each other?
|
[
"(5!)^2",
"(6!)^2",
"6!7!",
"11!",
"(5!)^2*6!"
] |
first fix one boy and place other 6 in alt seats so total ways is 6!
now place each girl between a pair of boys... total ways of seating arrangement of girls 7!
total is 6!*7!
ANS C
The answer is: C
|
C
|
mathematics
|
A rectangular box measures internally 1.6m long, 1m broad and 60cm deep. The number of cubical box each of edge 20cm that can be packed inside the box is:
|
[
"30",
"60",
"90",
"120",
"140"
] |
Explanation:
Number of blocks =(160x100x60/20x20x20)=120
Answer: D
The answer is: D
|
D
|
mathematics
|
Seventy five percent of a number is 21 less than four fifth of that number. What is the number ?
|
[
"240",
"340",
"420",
"130",
"125"
] |
Let the number be x.
Then, 4*x/5 –(75% of x) = 21
4x/5 – 75x/100 = 21
x = 420.
Answer C.
The answer is: C
|
C
|
mathematics
|
A 270 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
|
[
"230",
"200",
"250",
"300",
"500"
] |
Answer: Option A
Explanation:
Relative speed = 120 + 80 = 200 km/hr.
= 200 * 5/18 = 500/9 m/sec.
Let the length of the other train be x m.
Then, (x + 270)/9 = 500/9 => x = 230.
ANSWER A
The answer is: A
|
A
|
mathematics
|
Solution A is 20% barium and Solution B is 80% barium. If you have 30 ounces of solution A and 60 ounces of solution B, in what ratio could you mix Solution A with Solution B to produce 50 ounces of a 50% barium solution?
|
[
"6:4",
"6:14",
"4:4",
"4:6",
"3:7"
] |
Forget the volumes for the time being.
You have to mix 20% and 80% solutions to get 50%. This is very straight forward since 50 is int he middle of 20 and 80 so we need both solutions in equal quantities. If this doesn't strike, use
w1/w2 = (A2 - Aavg)/(Aavg - A1)
w1/w2 = (80 - 50)/(50 - 20) = 1/1
So the volume of the two solutions will be equal. Answer has to be 4:4=C
The answer is: C
|
C
|
mathematics
|
Rob has 8 toy trucks. He gives 3 trucks to his best friend as a gift. How many trucks does Rob have left?
|
[
"5",
"20",
"2",
"5",
"8"
] |
A. 5
The answer is: A
|
A
|
mathematics
|
Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
|
[
"17 1/4 min",
"28 1/7 min",
"17 1/7 min",
"17 1/8 min",
"17 5/7 min"
] |
1/20 + 1/30 - 1/40 = 7/120
120/7 = 17 1/7
Answer:C
The answer is: C
|
C
|
mathematics
|
A trader sells 40 metres of cloth for Rs.8200 at a profit of Rs.20 per metre of cloth. How much profit will the trder earn on 40 metres of cloth?
|
[
"Rs.800",
"Rs.1500",
"Rs.1000",
"Rs.1200",
"None of these"
] |
Explanation:
SP of 1 metre cloth = 8200/40 = Rs.205.
CP of 1 metre cloth = Rs.205 – 20 = Rs.185
CP on 40 metres = 185 x 40 = Rs.7400
Profit earned on 40 metres cloth = Rs.8200 – Rs.7400 = Rs.800.
Answer: Option A
The answer is: A
|
A
|
mathematics
|
If in a certain sequence of consecutive multiples of 100, the median is 650, and the greatest term is 1000, how many terms that are smaller than 650 are there in the sequence?
|
[
"6",
"4",
"8",
"12",
"13"
] |
Since the median is 650 we know there must be a even number of integers
So the list around 625 must go. 600 ( 650) 700 800 900 1000
Since we know there are 4 numbers greater than 650 then there must be 4 numbers less then 650.
B
The answer is: B
|
B
|
mathematics
|
John started driving on a highway at a constant speed of R miles per hour at 13:00. Then, 2 hours later, Tom started driving on the same highway at a constant speed of 6R/5 miles per hour at 15:00. If both drivers maintained their speed, how many miles had John driven on the highway when Tom caught up with John?
|
[
"6R",
"8R",
"9R",
"10R",
"12R"
] |
In 2 hours, John drove 2R miles.
Tom can catch John at a rate of 6R/5 - R = R/5 miles per hour.
The time it takes Tom to catch John is 2R / (R/5) = 10 hours.
In 10 hours, John can drive another 10R miles for a total of 12R miles.
The answer is E.
The answer is: E
|
E
|
mathematics
|
The current in a river is 3 mph. A boat can travel 21 mph in still water. How far up the river can the boat travel if the round trip is to take 10 hours?
|
[
"69 miles",
"88 miles",
"96 miles",
"102.8 miles",
"112 miles"
] |
Upstream Speed = 21-3=18mph
Downstream Speed = 21+3 = 24 mph
D/18 + D/24 = 10 hours
Solving for D we get D=102.8
Answer: D
The answer is: D
|
D
|
mathematics
|
The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
|
[
"297",
"879",
"342",
"762",
"269"
] |
400*(90/100)*(95/100)
= 342
Answer: C
The answer is: C
|
C
|
mathematics
|
The 5 th term and 21 st term of a series in A.P are 10 and 42 respectively. Find the 31 st term.
|
[
"50",
"55",
"65",
"62",
"52"
] |
a + 4d = 10 ………….. (1)
a + 20d = 42 ………….. (2)
Eqn (2) – Eqn (1) gives 16d = 32 , d = 2
Substituting d =2 in either (1) or (2), a = 2.
31 st term = a + 30d = 2 + 30*2 = 62
ANSWER:D
The answer is: D
|
D
|
mathematics
|
The cross-section of a cannel is a trapezium in shape. If the cannel is 14 m wide at the top and 8 m wide at the bottom and the area of cross-section is 550 sq m, the depth of cannel is?
|
[
"76",
"28",
"50",
"80",
"25"
] |
1/2 * d (14 + 8) = 550
d = 50
Answer: C
The answer is: C
|
C
|
mathematics
|
A, B, and C contest an election from a particular constituency. A and B together got 50% more votes than C. The vote share of A and C together is 30 percentage points more than the vote share of B. Who won the election?
|
[
"A",
"B",
"C",
"Cannot be determined",
"none"
] |
Let a,b,c be the vote share of A, B, C respectively
a + b = 1.5 c
a + c = b + 30
a + b + c = 100, 2b + 30 = 100,
b = 35
a = 25, c = 40, So, C won the election.
ANSWER:C
The answer is: C
|
C
|
mathematics
|
If q is an integer greater than 6, which of the following must be divisible by 3?
|
[
"Q(Q+1)(Q-4)",
"N(N+2)(N-1)",
"N(N+3)(N-5)",
"N(N+4)(N-2)",
"N(N+5)(N-6)"
] |
Now take Q = 3k , Q = 3k+1 Q = 3k+2..put in all the choices. If by putting all the values of Q we get it is divisible by 3, then it is correct answer choice.
A is correct. It will hardy take 10 sec per choice as we have to consider only 3k+1 and 3k+2.
The answer is: A
|
A
|
mathematics
|
How many terms are in the G.P. 3, 6, 12, 24, ......., 384,768
|
[
"8",
"9",
"67",
"5",
"2"
] |
Explanation:
Here a = 3 and r = 6/3 = 2. Let the number of terms be n.
Then, t = 768 => a * r^(n-1) = 768
=> 3 * 2^(n-1) = 768 => 2^(n-1) = 256 = 2^(8)
=> n-1 = 8 => n = 9.
Answer: B
The answer is: B
|
B
|
mathematics
|
Suresh can complete a job in 15 hours. Ashutosh alone can complete the same job in 30 hours. Suresh works for 9 hours and then the remaining job is completed by Ashutosh. How many hours will it take Ashutosh to complete the remaining job alone?
|
[
"4",
"5",
"6",
"12",
"None of these"
] |
The part of job that Suresh completes in 9 hours
= 9â„15 = 3â„5
Remaining job = 1 - 3â„5 = 2â„5
Remaining job can be done by Ashutosh in 2â„5 × 30 = 12 hours
Answer D
The answer is: D
|
D
|
mathematics
|
The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:
|
[
"3500",
"4000",
"4050",
"5000",
"5500"
] |
Explanation:
Let P, Q and R represent their respective monthly incomes. Then, we have:
P + Q = (5050 x 2) = 10100 .... (i)
Q + R = (6250 x 2) = 12500 .... (ii)
P + R = (5200 x 2) = 10400 .... (iii)
Adding (i), (ii) and (iii), we get: 2(P + Q + R) = 33000 or P + Q + R = 16500 .... (iv)
Subtracting (ii) from (iv), we get P = 4000.
P's monthly income = Rs. 4000.
ANSWER IS B
The answer is: B
|
B
|
mathematics
|
If X> 0 and X is divisible by the product of the first nine positive integers, all of the following must be factors of X except
|
[
"35",
"40",
"63",
"315",
"704"
] |
The question states taht X is divisible by 9!,which is 1*2*3*4*5*6*7*8*9
X=(9!) * some number
A. 35 = 5*7 so will divide X
B. 40 =5*8 so will divide X
C. 63 =9*7 so will divide X
D. 315 =5*7*9 so will divide X
E. 704 =8*8*11 This will not divide X
Ans E
The answer is: E
|
E
|
mathematics
|
A garrison of 400 men had a provision for 31 days. After 28 days 280 persons re-enforcement leave the garrison. Find the number of days for which the remaining ration will be sufficient?
|
[
"16 days",
"34 days",
"10 days",
"16 days",
"15 days"
] |
400 --- 31
400 --- 3
120 --- ?
400*3 = 120*x => x
=10 days
Answer: C
The answer is: C
|
C
|
mathematics
|
In year Y imported machine tools accounted for 25 percent of total machine - tool sales in the United States, and Japanese imports accounted for 50 percent of the sales of imported machine tools. If the total sales of machine tools imported Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars?
|
[
"8X/1",
"13X/20",
"80/9X",
"20X/13",
"80X/9"
] |
IMT = 0.25T
JI = 0.50 IMT
0.50 IMT = $x b
IMT = $x/(0.50) b
T = 4*IMT = 4x/0.50 = 4x*100/50 = 8x/1
Ans: "A"
The answer is: A
|
A
|
mathematics
|
The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned.
|
[
"19828.77",
"19828.8",
"19828.82",
"19888.82",
"19828.22"
] |
Let the sum be Rs.P
P{ [ 1 + 8/100]2 - 1 } = 2828.80
P(8/100)(2 + 8/100) = 2828.80 [a2 - b2 = (a - b) ( a + b)] P = 2828.80 / (0.08)(2.08) = 1360/0.08 = 17000 Principal + Interest = Rs. 19828.80
Answer: B
The answer is: B
|
B
|
mathematics
|
at a time A,do 20% less work than B.if A do any work in 15/2 hour,then in how many hour B will finish work?
|
[
"5 hour",
"11/2 hour",
"6 hour",
"13/2 hour",
"8 hour"
] |
let B will finish a work in x hour.then,in x hour A,80/100=4/5 work do
ratio of work done by A and B=inverse ratio of time taken
4/5:1=2/15:1/x
4/5*1/x=1*2/15=4/5x=2/15;x=6.
time= 6 hour
answer C
The answer is: C
|
C
|
mathematics
|
In May, the grounds keeper at Spring Lake Golf Club built a circular green with an area of 49π square feet. In August, he doubled the distance from the center of the green to the edge of the green. What is the total area of the renovated green?
|
[
"100PI",
"144PI",
"196 PI",
"80",
"90"
] |
AREA OF CIRCLE 49PI SQ FEET =PI R^2 THEREFORE R =7
NOW GREEN RADI DOUBLED I.E R =14 AREA =196 PI
C
The answer is: C
|
C
|
mathematics
|
Sumitra has an average of 56% on her first 7 examinations. How much should she make on her eighth examination to obtain an average of 60% on 8 examinations?
|
[
"88%",
"78%",
"98%",
"Cannot be determined",
"None of these"
] |
Since the weight age of eighth examination is not known, hence can not be determined.
Answer D
The answer is: D
|
D
|
mathematics
|
If 10 and 15 are the lengths of two sides of a triangular region, which of the following can be the length of the third side?
I. 5
II. 15
III. 20
|
[
"I only",
"II only",
"I and II only",
"II and III only",
"I, II, and III"
] |
The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.
Let x be the length of the third side.
15-10 < x < 15+10
5 < x < 25
The answer is D.
The answer is: D
|
D
|
mathematics
|
At a conference table, 8 employees gather around a table. One of the employees is the manager and he sits at the head of the table. Two of the employees sit on either side of the table. How many different seating arrangements can be made with these 8 employees?
|
[
"5060",
"5050",
"5060",
"5040",
"5030"
] |
Head's sit is fixed. Now 7 people is left with 7 seats.
7 people can sit on 7 seats in 7! ways or 5040 ways.
Ans is D
The answer is: D
|
D
|
mathematics
|
An aeroplane covers a certain distance at a speed of 150 kmph in 2 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:
|
[
"1300 kmph",
"160 kmph",
"180 kmph",
"1080 kmph",
"none"
] |
Explanation: Distance = (150 x 2) = 300 km.
Speed = Distance/Time
Speed = 300/(5/3) km/hr. [We can write 1 2/3 hours as 5/3 hours]
Required speed = 300 x 3/5 km/hr = 180 km/hr.
Answer: Option C
The answer is: C
|
C
|
mathematics
|
The average marks of a class of 30 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students?
|
[
"52.5",
"52.9",
"52.1",
"52.3",
"42.5"
] |
Sum of the marks for the class of 30 students = 30 * 40 = 1200
Sum of the marks for the class of 50 students = 50 * 60 = 3000
Sum of the marks for the class of 80 students =
1200 + 3000 = 4200
Average marks of all the students = 4200/80
= 52.5
Answer:A
The answer is: A
|
A
|
mathematics
|
If a and b are nonzero integers such that 6a = 15b, then each of the following must be true EXCEPT
|
[
"0 < b/a < 1",
"ab is positive.",
"On the number line, b lies between 0 and a.",
"The ratio of a to b is equivalent to 10/4.",
"a – b is positive."
] |
This question can be solved by TESTing VALUES. Based on its wording, you would likely need to do 2 TESTs to get to the correct answer though.
We're told that a and b are NONZERO INTEGERS and that 6a=15b or 2a = 5b. We're told that each of the answer is always true EXCEPT for one of them...
Before we get to the actual work, it's important to note a few details:
1) We are NOT told that a and b are positive - we're just told that they're NONZERO - that's interesting - it means that we have to consider the possibility that they're both NEGATIVE...
2) 4 of the answers will always be true, while one of them will EITHER be sometimes true OR never true. We'll have to keep working until we find 1 answer that is not true (for whatever reason) - that will be the solution to this question.
Since 2A = 5B, I'm going to run 2 pairs of TESTs at the same time...
A = 5
B = 2
AND
A = -5
B = -2
Answer A: 0 < B/A < 1
2/5 and -2/-5 both = 2/5. Answer A appears true.
Answer B: AB is positive
(2)(5) and (-2)(-5) both = +10. Answer B appears true.
Answer C: B is between 0 and A on the number line
0....2....5
-5....-2....0
Answer C appears true.
Answer D: A/B = 10/4
5/2 = -5/-2
10/4 = 5/2
Answer D appears true.
Answer E: A - B is positive
5 - 2 = 3
-5 - (-2) = -3 *****This is NOT always true.
Final Answer:
E
The answer is: E
|
E
|
mathematics
|
In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
|
[
"120",
"720",
"4320",
"2160",
"3570"
] |
The word 'OPTICAL' contains 7 different letters.
when the vowels OIA are always together, they can be supposed to form one letter.
Then, we have to arrange the letters PTCL (OIA)
Now, 5 letters can be arranged among themselves in 3!=6 ways.
Required number of ways =(120*6)=720.
Answer is B
The answer is: B
|
B
|
mathematics
|
A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is?
|
[
"12",
"14",
"15",
"19",
"10"
] |
Suppose, first pipe alone takes x hours to fill the tank. Then, second and third pipes will take (x - 5) and (x - 9) hours respectively to fill the tank.
1/x + 1/(x - 5) = 1/(x - 9)
(2x - 5)(x - 9) = x(x - 5)
x2 - 18x + 45 = 0
(x- 15)(x - 3) = 0 => x = 15. Answer:C
The answer is: C
|
C
|
mathematics
|
A car was initially traveling at an average speed of 36 miles per hour. During each of ten successive 5-minute intervals, the car decreased its average speed by 2 miles per hour. How many miles did the car travel in the fourth 5-minute interval?
|
[
"1.32",
"5.32",
"4.56",
"2.33",
"1.44"
] |
The question does not specifically mentioned whether 36miles/h is the speed in first interval or before that... So I got confused.
If former is the case, then average speed of the car in 4th interval will be 28. This gives 28 * (5/60) = m = 2.33 miles
correct option is D
The answer is: D
|
D
|
mathematics
|
How many ways are there for 3 males and 3 females to sit (around a circular table) if no male should sit next to a male (and no female next to female) and Mary wants to sit with her back on the wall?
|
[
"6",
"12",
"72",
"100",
"720"
] |
Lets first sit the 3 man, 2! ways.
Now since one position is fixed for women, there are 2 women left and they have 2! ways
2! X 2! = 4 answer is diff this way.
or shall we give possibility of 3 ways for women to be fixed with back facing so 3! ways, ANS:B
The answer is: B
|
B
|
mathematics
|
A team scored a total of 98 points. If each player on the team scored at least 14 points, then what is the greatest possible number of players on the team?
|
[
"A)6",
"B)7",
"C)8",
"D)9",
"E)10"
] |
98/14=7 plus remainder.
The answer is B.
The answer is: B
|
B
|
mathematics
|
In the kitchen of a busy restaurant, it takes M minutes to wash P pots. At this rate, how many hours does it take to wash 15P pots?
|
[
"4/M",
"4M",
"900M",
"M/900",
"M/4"
] |
The time it takes to wash 15P pots is 15M minutes which is 15M / 60 = M/4 hours.
The answer is E.
The answer is: E
|
E
|
mathematics
|
3/5 of all married couples have more than one child. 2/5 of all married couples have more than 3 children. What fraction of all married couples have 2 or 3 children?
|
[
"1/5",
"1/4",
"7/20",
"3/5",
"It cannot be determined from the given information."
] |
Plug in simple numbers. Take 100 couples for example.
3/5 of 100 couples have more than one child = 60 couples.
2/5 of 100 couples have more than 3 kids = 40 couples.
This implies that 40 couples are a subset of 60 couples and the complement of 60 couples within those 100 couples, which equals 20 couples have either one or no kids at all.
We need to find couples that have 2 or 3 kids, so essentially, it is 60 - 40 = 20. Fraction will be 20/100 = 1/5.
Option A
The answer is: A
|
A
|
mathematics
|
Find the one which does not belong to that group?
|
[
"16",
"36",
"77",
"64",
"4"
] |
Explanation:
16, 36, 64 and 4 are perfect squares but not 77.
Answer:C
The answer is: C
|
C
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.