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mathematics | At the end of the first quarter, the share price of a certain mutual fund was 30 percent higher than it was at the beginning of the year. At the end of the second quarter, the share price was 50 percent higher than it was at the beginning of the year. What was the percent increase in the share price from the end of the first quarter to the end of the second quarter? | [
"15.3%",
"25%",
"30%",
"33%",
"40%"
]
| Another method is to use the formula for 2 successive percentage changes:
Total = a + b + ab/100
50 = 30 + b + 30b/100
b = 15.3
Answer (A)
The answer is: A | A |
mathematics | A train 700 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is? | [
"277 m",
"700 m",
"600 m",
"187 m",
"1678 m"
]
| Speed = 78 * 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of the train be x meters.
Then, (700 + x)/60 = 65/3
x =600 m.
Answer:C
The answer is: C | C |
mathematics | A voltmeter is used: | [
"22",
"266",
"27",
"26",
"81"
]
| Explanation:
Answer: Option C
The answer is: C | C |
mathematics | A certain restaurant offers 7 kinds of cheese and 2 kinds of fruit for its dessert platter. If each dessert platter contains an equal number of kinds of cheese and kinds of fruit, how many different dessert platters could the restaurant offer? | [
"8",
"12",
"15",
"21",
"35"
]
| As dessert platter should contain equal number of kinds of cheese and fruits, desert can contain:
A. 2 kinds of cheese and 2 kinds of fruits --> 7C2*2C2=21*1=21
B. 1 kind of cheese and 1 kind of fruit --> 7C1*2C1=7*2=14
A+B=21+14=35
Answer: E.
The answer is: E | E |
mathematics | Amar takes as much time in running 18 meters as a car takes in covering 48 meters. What will be the distance covered by Amar during the time the car covers 1.6 km? | [
"700 m",
"500 m",
"670 m",
"600 m",
"640 m"
]
| Distance covered by Amar
= 18/4.8 (1.6km)
= 3/8(1600) = 600 m
Answer: D
The answer is: D | D |
mathematics | A group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 5 with 4 students left over. What is the sum of the two smallest possible values of n? | [
"30",
"34",
"38",
"42",
"46"
]
| n = 4k+1 = 5j+4
Let's start at 1 = 4(0)+1 and keep adding 4 until we find a number in the form 5j+4.
1, 5, 9 = 5(1)+ 4
The next such number is 9 + 4*5 = 29.
9+29 = 38
The answer is C.
The answer is: C | C |
mathematics | The workforce of Company X is 40% female. The company hired 20 additional male workers, and as a result, the percent of female workers dropped to 50%.How many employees did the company have after hiring the additional male workers? | [
"480",
"500",
"520",
"460",
"440"
]
| let x be the total worker then 0.4x =female worker and 0.6x is male worker then 20 male worker added
04x/(0.6x +20) = 50/100 or 40x = 50*( 0.6x+100) = 30x+ 5000 or 10x = 5000 , x = 500
total worker = 500 +20= 520
C
The answer is: C | C |
mathematics | Larry, Michael, and Doug have five donuts to share. If any one of the men can be given any whole number of donuts from 0 to 5, in how many different ways can the donuts be distributed? | [
"21",
"42",
"120",
"504",
"5040"
]
| If you get confused about combinations, there's a simple way to count these combinations as well, by counting the number of ways 5 can be summed with 3 numbers.
{5,0,0} = 3 possibilities.
{4,1,0} = 6 possibilities.
{3,2,0} = 6 possibilities.
{3,1,1} = 3 possibilities.
{2,2,1} = 3 possibilities.
Total = 21 possibilitieS
ANSWER:A
The answer is: A | A |
mathematics | The probability that event M will not occur is 0.6 and the probability that event R will not occur is 0.6. If events M and R cannot both occur, which of the following is the probability that either event M or event R will occur? | [
"1/5",
"2/5",
"3/5",
"4/5",
"12/25"
]
| p(m) =0.4
p(r) =0.4
p(m intersection r) = 0 (If events M and R cannot both occur)
p(m or r) = 0.4+0.4 =0.8
Corrected !!
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: | [
"4000",
"5000",
"6000",
"7000",
"None of these"
]
| 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 A
The answer is: A | A |
mathematics | Q' = 3Q - 3, what is the value of (3')' ? | [
"0",
"10",
"20",
"30",
"40"
]
| (3')'=(3*3-3)'=6'=6*6-6=30
Answer D
The answer is: D | D |
mathematics | A fort had provision of food for 150 men for 45 days. After 15 days, 25 men left the fort. The number of days for which the remaining food will last, is: | [
"29\t1/5",
"37\t1/4",
"42",
"54",
"36"
]
| we have food for 150 men for 45 days.
After 15 days food left for 150 men for 30 days.
so
150 : 30
now we have 125 men and x days
125 : 150 :: 30 : x
x = (150*30)/125 = 36 days.
ANSWER:E
The answer is: E | E |
mathematics | Walking at 5/6th of its usual speed a cab is 8mnts late. Find its usual time to cover the journey? | [
"25m",
"45m",
"40m",
"50m",
"62m"
]
| New speed = 5/6th of usual speed
New time = 6/5th of usual time
6/5 UT - UT = 8m
UT/5 = 8m
UT = 40m
Answer is C
The answer is: C | C |
mathematics | What decimal of an hour is a second ? | [
"0.0027",
"0.00027",
"0.027",
"0.00072",
"None of them"
]
| Required decimal = 1/60x60 = 1/3600 = .00027
Answer is B.
The answer is: B | B |
mathematics | What is the largest 4 digit number exactly divisible by 24? | [
"4676",
"4678",
"8888",
"9504",
"9984"
]
| Largest 4 digit number = 9999
9999 ÷ 24 = 416, remainder = 15
Hence largest 4 digit number exactly divisible by 24
= 9999 - 15 = 9984
answer :E
The answer is: E | E |
mathematics | Machine P and Machine Q are each used to manufacture 220 sprockets. It takes Machine P 10 hours longer to produce 220 sprockets than Machine Q. Machine Q produces 10% more sprockets per hour than Machine A. How many sprockets per hour does Machine A produce? | [
"5",
"2",
"55",
"95",
"125"
]
| P makes x sprockets per hour.
Then Q makes 1.1x sprockets per hour.
220/x = 220/1.1x + 10
1.1(220) = 220 + 11x
11x = 22
x = 2
The answer is B.
The answer is: B | B |
mathematics | A man can row
9 1/3
kmph in still water and finds that it takes him thrice as much time to row up than as to row, down the same distance in the river. The speed of the current is. | [
"3 2/3kmph",
"4 2/3kmph",
"5 2/3kmph",
"6 2/3kmph",
"None of these"
]
| Explanation:
Friends first we should analyse quickly that what we need to calculate and what values we require to get it.
So here we need to get speed of current, for that we will need speed downstream and speed upstream, because we know
Speed of current = 1/2(a-b) [important]
Let the speed upstream = x kmph
Then speed downstream is = 3x kmph [as per question]
speed in still water = 1/2(a+b)
=>1/2(3x+x)
=>2x as per question we know,
2x=9 1/3
=>2x=28/3
=>x=14/3
So,
Speed upstream = 14/3 km/hr, Speed downstream 14 km/hr.
Speed of the current
=1/2[14−14/3]
=14/3=4 2/3kmph
Option B
The answer is: B | B |
mathematics | A firm has 3 senior partners and 6 junior partners. How many different groups of 3 partners can be formed in which at least one member of the group is a senior partner? (Note that two groups are considered different if at least one group member is different.) | [
"64",
"68",
"72",
"76",
"80"
]
| The number of ways to form a group of 3 is 9C3 = 84
The number of groups with no senior partner is 6C3 = 20
The number of groups with at least one senior partner is 84-20 = 64
The answer is A.
The answer is: A | A |
mathematics | A boat travels 40 km downstream in 8 hours and 36 km upstream in 12 hours. Find the speed of the boat in still water and the speed of the water current. | [
"8 km/hr, 1 km/hr",
"5 km/hr, 4 km/hr",
"1 km/hr, 6 km/hr",
"2 km/hr, 1 km/hr",
"4 km/hr, 1 km/hr"
]
| Downstream speed=40km/8hrs
=5kmph
upstream speed=36km/12hrs
=3kmph
speed of boat=avg of downstream and upstream speeds
speed of boat=(5+3)/2kmph
=4kmph.
current speed=half of the difference of downstream and upstream speeds
currend speed=(5-3)/2kmph
=1kmph
ans is 4km/hr,1km/hr
ANSWER:E
The answer is: E | E |
mathematics | A number x is multiplied by 7, and this product is then divided by 5. If the positive square root of the result of these two operations equals x, what is the value of x if x≠0 ? | [
"25/9",
"9/5",
"5/3",
"7/5",
"9/25"
]
| sqrt(7x/5) to be perfect square x has to 7/5
Ans: D
The answer is: D | D |
mathematics | Ice-ColdIce-cream factory produces only tricolor ice-cream products, where each ice-cream has three stripes of different colors. The factory uses the colors pink, purple, orange, silver, blue and white. How many different ice-cream products have at least one stripe out of the following colors: pink, purple or orange (assume that the order of the stripes in a single ice-cream does not matter)? | [
"12",
"14",
"18",
"19",
"20"
]
| IMO: D - 19
There are 6C3 = 20 ways to create different colored ice cream products. Out of these 20, only 1 (Silver, Blue, white) will not contain at least one of the colors pink, purple, or orange. 20 - 1 = 19.
The other way would be to calculate the number of ice cream products that contain at least one of the colors pink, purple, or orange (PPO).
#1: Pick one out of PPO and two out of SBP: 3C1 * 3C2 = 3 * 3 = 9
#2: Pick two out of PPO and one out of SBP: 3C2 * 3C1 = 3 * 3 = 9
#3: Pick three out of PPO: 3C3 = 1
9 + 9 + 1 = 19
answer is D
The answer is: D | D |
mathematics | If a is an even integer and b is an odd integer which of the following must be an odd integer : | [
"a/b",
"ab",
"2a+b",
"2(a+b)",
"3a/b"
]
| We can always look for low hanging fruits first to solve such questions under 30secs.
Expression in C, is basically 2*Even+Odd or simply Even+Odd which is always going to be odd.
Hence C
The answer is: C | C |
mathematics | A certain club has 10 members, including Harry. One of the 10 members is to be chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. What is the probability that Harry will be the member chosen to be the secretary ? | [
"1/720",
"1/80",
"1/10",
"1/9",
"1/5"
]
| This question is much easier than it appears.
Each member out of 10, including Harry, has equal chances to be selected for any of the positions (the sequence of the selection is given just to confuse us). The probability that Harry will be selected to be the secretary is 1/10 .
Answer: C
The answer is: C | C |
mathematics | A type of mixture is prepared by mixing brand at Rs.9 a kg with brand B at Rs.4 a kg.If a mixtue is worth rupees 7 a kg,how many kgs of brand A are needed to make 40 kgs of the mixture? | [
"21",
"22",
"23",
"24",
"25"
]
| 9 4
7
(7-4) 3 2 (9-7)
thus ratio would be 3:2
and thus 3x+2x=40
so x=8 and 3x=24.
thus A type of mixture would be of 24 kg.
ANSWER:D
The answer is: D | D |
mathematics | 8 men can do a piece of work in 12 days. 4 women can do it in 48 days and 10 children can do it in 24 days. In how many days can 18 men, 4 women and 10 children together complete the piece of work? | [
"5 days",
"15 days",
"28 days",
"4 days",
"7 days"
]
| Explanation:
1 man’s 1 day’s work = 1/8 × 12 = 1/96
18 men’s 1 day’s work = 1 × 18/96 = 3/16
1 woman’s 1 day’s work = 1/192
4 women’s 1 day’s work = 1/192 × 4 = 1/48
1 child’s 1 day’s work = 1/240
10 children’s 1 day’s work = 1/24
Therefore, (18 men + 4 women + 10 children)’s 1 day’s work = 3/16 + 1/48 + 1/24
= 1/4
The required No. of days = 4 days
Answer: Option D
The answer is: D | D |
mathematics | A mixture of 70 litres of milk and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12 1/2% water? | [
"2",
"8",
"4",
"5",
"None of these"
]
| Quantity of milk in the mixture = 90/100 (70) = 63 litres.
After adding water, milk would form 87 1/2% of the mixture.
Hence, if quantity of mixture after adding x liters of water, (87 1/2) / 100 x = 63 => x = 72
Hence 72 - 70 = 2 litres of water must be added.
ANSWER:A
The answer is: A | A |
mathematics | When working alone, painter W can paint a room in 2 hours, and working alone, painter X can paint the same room in e hours. When the two painters work together and independently, they can paint the room in 3/4 of an hour. What is the value of e? | [
"3/4",
"1[1/5]",
"1[2/5]",
"1[3/4]",
"2"
]
| Rate*Time=Work
Let Painter W's rate be W and Painter X's rate be X
R*T = Work
W * 2 = 1 (If the work done is same throughout the question then the work done can be taken as 1) => W = 1/2
X * e = 1 => X = 1/e
When they both work together then their rates get added up
Combined Rate = (W+X)
R*T = Work
(W+X) * 3/4 = 1
=> W+X = 4/3
=> 1/2 + 1/e = 4/3
=> 1/e = (8-3)/6 = 5/6
=> e = 6/5 = 1[1/5]
Answer B
The answer is: B | B |
mathematics | If n is the greatest positive integer for which 2^n is a factor of 6!, then n =? | [
"2",
"4",
"6",
"8",
"10"
]
| 6! = 720
E. 2^10 = 512 (720/512) - this is not a factor of 6!
D. 2^8 = 256 (720/256) - this is not a factor of 6!
C. 2^6 = 64 (720/64) - this is not a factor of 6!
B. 2^4 = 16 (720/16) - this is a factor of 6!
B is answer
The answer is: B | B |
mathematics | In a certain city, 40% of the registered voters are democrats and the rest are republicans.In a mayoral race, if 75% of the registered voters who are democrats and 20% of the registered voters who are republicans are expected to vote for candidate A,What % of the registered voters are expected to vote for candidate A? | [
"a) 50%",
"b) 53%",
"c) 54%",
"d) 55%",
"e) 57%"
]
| Let total voters = 100
so D= 60, vote for the mayor 60*75%=45 (60*3/4)
R= 40, vote for the mayor 40*20%= (40*1/5)
45+8=53
53/100*100=55%
D
The answer is: D | D |
mathematics | Evaluate combination
16C2 | [
"120",
"1000",
"10",
"1",
"0"
]
| Explanation:
nCn=1
nCr=n!/r!(n-r)!
16C2=16!/2!(16-2)!=120
Option A
The answer is: A | A |
mathematics | A scuba diver descends at a rate of 30 feet per minute. a diver dive from a ship to search for a lost ship at the depth of 2400feet below the sea level..how long will he take to reach the ship? | [
"70 minutes",
"72 minutes",
"80 minutes",
"76 minutes",
"77 minutes"
]
| Time taken to reach = 2400/30= 80 minutes
ANSWER:C
The answer is: C | C |
mathematics | Dany bought a total of 26 game cards some of which cost $0.25 each and some of which cost $0.15 each. If Dany spent $4.2 to buy these cards, how many cards of each type did he buy? | [
"4",
"10",
"7",
"23",
"12"
]
| Let X be the number of cards that cost $0.25 each and Y the number of cards that cost $0.15 each. The total number of cards is 26. Hence
X + Y = 26
If X is the number of cards at $0.25, then the X cards cost
0.25 X
If Y is the number of cards at $0.15, then the Y cards cost
0.15 Y
The total cost of the X cards and the the Y cards is known to be $4.2 and also given by
0.25 X + 0.15 Y = 4.2
We now need to solve the system of equations
X + Y = 26
0.25 X + 0.15 Y = 4.2
The first equation gives Y = 26 - X. Substitute y by 26 - x in the second equation and solve
0.25 X + 0.15 (26 - X) = 4.2
X(0.25 - 0.15) + 3.9 = 4.2
0.1 X = 0.3
X = 3 and Y = 26 - 3 = 23
correct answer D
The answer is: D | D |
mathematics | Vijay sells a cupboard at 10% below cost price. Had he got Rs.1500 more, he would have made a profit of 10%. What is the cost price of the cupboard? | [
"7450",
"7500",
"7400",
"7500",
"None of these"
]
| Explanation:
Cost price = 1500/(0.10 + 0.10) = 1500/0.20
= Rs.7500
ANSWER B
The answer is: B | B |
mathematics | If (t-8) is a factor of t^2-kt-46, then k= | [
"16",
"12",
"2",
"6",
"14"
]
| t^2-kt-48 = (t-8)(t+m) where m is any positive integer.
if 48/8 = 6, then we know as a matter of fact that:
m = +6
and thus k = 8-6 = 14
t^2-kt-m = (t-a)(t+m) where a>m
t^2+kt-m = (t-a)(t+m) where a<m
t^2-kt+m = (t-a)(t-m)
E
The answer is: E | E |
mathematics | Sound is said to travel in air at about 1100 feet per second. A man hears the axe striking the tree, 11/5 seconds after he sees it strike the tree. How far is the man from the wood chopper ? | [
"2420 ft",
"2524 ft",
"2600 ft",
"2740 ft",
"None of these"
]
| Explanation :
Distance = [1100 * 11/5] feet
= 2420 feet.
Answer : A
The answer is: A | A |
mathematics | The market value of a 10.5% stock, in which an income of Rs. 756 is derived by investing Rs. 7000, brokerage being 1/4%, is: | [
"96.97",
"114",
"114.75",
"124",
"124.75"
]
| Face Value = Rs. 7000.
Dividend = 10.5%.
Annual Income = Rs. 756.
Brokerage per Rs. 100 = Rs. 0.25.
Dividend is always paid on the face value of a share.
Face Value * Dividend / (Market Value + Brokerage per Rs. 100) = Annual income.
= 7000 * 10.5 / 756 = Market Value of Rs. 100 stock + Brokerage per Rs. 100.
= Market Value of Rs. 100 stock + Brokerage per Rs. 100 = Rs. 97.22.
= Market Value of Rs. 100 stock = Rs. 97.22 - Re. 0.25.
= Market Value of Rs. 100 stock = Rs. 96.97
answer : A
The answer is: A | A |
mathematics | A can do a piece of work in 10 days. He works at it for 4 days and then B finishes it in 9 days. In how many days can A and B together finish the work? | [
"6",
"8",
"12",
"15",
"20"
]
| 4/10+9/X = 1/x = 15
1/10+1/15 = 1/6 = 6 days
ANSWER A
The answer is: A | A |
mathematics | In a party attended by 10 persons, each clinch their glass with every other. How many glass clinches? | [
"45",
"52",
"53",
"54",
"55"
]
| Total no. of person = 11
Total no. of glass clinches = n(n-1)/2
=10*9/2
= 45
ANSWER:A
The answer is: A | A |
mathematics | If A speaks the truth 40% of the times, B speaks the truth 20% of the times. What is the probability that at least one will tell the truth | [
"1.8",
"2.0",
"1.52",
"0.52",
"1.3"
]
| probability of A speaks truth p(A)=4/10;false=6/10
probability of B speaks truth p(B)=2/10;false=8/10.For given qtn
Ans=1-(neither of them tell truth).Because A & B are independent events
=1-[(6/10)*(8/10)]=1-48/100=1-0.48=0.52
ANSWER:D
The answer is: D | D |
mathematics | 40 is subtracted from 70% of a number, the result is 30. Find the number? | [
"150",
"997",
"266",
"288",
"100"
]
| (70/100) * X – 40 = 30
7X = 700
X = 100
Answer:E
The answer is: E | E |
mathematics | Howmany words (with or without meaning) of three distinct letters of the English alphabets are there? | [
"15500",
"15800",
"15700",
"15400",
"15600"
]
| Here we have to fill up three places by distinct letters of the English alphabets. This can be done in 26 ways. The second place can be filled in by 25 ways. The third place can be filled in 24 ways. Hence the required number of words is 26x25x24=15600. Ans : E
The answer is: E | E |
mathematics | A can give B 200 meters start and C 400 meters start in a kilometer race. How much start can B give C in a kilometer race? | [
"111.12",
"250",
"111.64",
"111.11",
"101.12"
]
| A runs 1000 m while B runs 800 m and C runs 600 m.
The number of meters that C runs when B runs 1000 m,
= (1000 * 600)/800 = 750 m.
B can give C = 1000 - 750= 250 m.
Answer:B
The answer is: B | B |
mathematics | The average of four positive integers is 69. The highest integer is 93 and the least integer is 39. The difference between the remaining two integers is 28. Which of the following integers is the higher of the remaining two integers? | [
"32",
"86",
"44",
"22",
"55"
]
| Let the four integers be A, B, C and D where A > B > C > D.
(A + B + C + D)/4 = 69 => A + B + C + D = 276 ---> (1)
A = 93, D = 39 and B - C = 28
(1) => B + C = 276 - (A + D) = 276 - 132 = 144.
B + B -28 = 144
B = (144 + 28)/2 = 86
Answer:Option B
The answer is: B | B |
mathematics | How many 3 digit numbers can be formed which are divisible by 3 using the numerals 0, 1, 2, 3, 4, 5 (WITH REPETITION) | [
"216",
"133",
"240",
"600",
"305"
]
| Divisibilty rule for 3: Sum of all digits is a multiple of 3
Selections for the above to be valid
1,2,3,4,5
No of possible ways = 5*5*5 = 125
0,1,2
No of possible ways = 2*2*1 = 4
0,4,5
No of possible ways = 2*2*1 = 4
Total = 8+125 = 133
Option
B
The answer is: B | B |
mathematics | A train 200m long passes a standing man in 10 seconds. What is the speed of the train? | [
"30km/hr",
"36km/hr",
"42km/hr",
"50km/hr",
"72km/hr"
]
| Speed of the train = 200/10* 18/5 = 72km/hr
Answer is E
The answer is: E | E |
mathematics | A patient was given a bottle of tablets by the doctor and he was asked to take five tablets in a gap of 15 minutes.
In how much time will he be able to take all the five tablets? | [
"1 Hour.",
"2 Hour.",
"3 Hour.",
"None",
"Cannot be determined"
]
| Solution:
1 Hour.
Suppose he takes the first tablet at 12:00 pm. Then the second will be consumed by him at 12:15, third at 12:30, fourth at 12:45 and fifth at 1:00.
Answer A
The answer is: A | A |
mathematics | Steve gets on the elevator at the 11th floor of a building and rides up at a rate of 57 floors per minute. At the same time Joyce gets on an elevator on the 51st floor of the same building and rides down at a rate of 63 floors per minute. If they continue traveling at these rates, at which floor will their paths cross? | [
"19",
"28",
"30",
"32",
"44"
]
| Using Speed Formula: Speed = Distance / Time
Distance to be covered = 51-11 = 40
Speed of approach = 57 + 63 floors/min
Time = 40/120 = 1/3
So Steve will cover 57x 1/3 floors in that time = 19
So he will be in 19 + 11 floor = 30th Floor
ANSWER:C
The answer is: C | C |
mathematics | A policeman spotted a criminal from a distance of 200 metres. When the policeman starts the chase, the criminal also starts running. If the criminal was running at 10 km/hr and the policeman was chasing at the speed of 12 km/hr, find the distance the criminal will run before he is catched by the policeman ? | [
"1.5 km",
"700 m",
"900 m",
"1 km",
"None of these"
]
| Explanation :
Solution: Relative speed = (12 - 10) = 2 km/hr.
Time taken by policeman to cover 200 m = (200/1000 * 1/2) hr
= 1/10 hr.
In 1/10 hrs, the criminal covers a distance of (10*1/10) km = 1 km.
Answer : D
The answer is: D | D |
mathematics | In a group of cows and hens, the number of legs are 16 more than twice the number of heads. The number of cows is | [
"5",
"8",
"10",
"12",
"14"
]
| Explanation:
Let the number of cows be x and the number of hens be y.
Then, 4x + 2y = 2 (x + y) + 16
4x + 2y = 2x + 2y + 16
2x = 16
x = 8.
Answer: B
The answer is: B | B |
mathematics | The ratio of two natural numbers is 5:6. If a certain number is added to both the numbers, the ratio becomes 7:8. If the larger number exceeds the smaller number by 10, find the number added? | [
"17",
"12",
"20",
"27",
"18"
]
| Let the two numbers be 5x and 6x.
Let the number added to both so that their ratio becomes 7:8 be k.
(5x + k)/(6x + k) = 7/8
42x = 7k => k = 2x.
6x - 5x = 10 => x = 10
k = 2x = 20.
Answer:C
The answer is: C | C |
mathematics | A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is | [
"25/42",
"25/40",
"25/49",
"25/47",
"25/44"
]
| Explanation:
Total fruits = 9
Since there must be at least two apples,
= 25/42.
Answer: A
The answer is: A | A |
mathematics | A family has two children. find the probability that both the children are girls given that at least
one of them is a girl? | [
"1/2",
"1/3",
"1/7",
"2/5",
"2/7"
]
| Let b stand for boy and g for girl. The sample space of the experiment is
S = {(g, g), (g, b), (b, g), (b, b)}
Let E and F denote the following events :
E : ‘both the children are girls’
F : ‘at least one of the child is a girl’
Then E = {(g,g)} and F = {(g,g), (g,b), (b,g)}
Now E n F = {(g,g)}
Thus P(F) = 3/4
and P (E n F )= 1/4
Therefore P(E|F) = P(E ∩ F)/P(F) = (1/4)/(3/4) = 1/3
B)
The answer is: B | B |
mathematics | If neha is 10
Both Sonali and priyanka is 15
Both sadaf and tanu is 10.
how much is prinka by the same system ? | [
"8",
"9",
"10",
"11",
"12"
]
| Solution:
prinka is 10, in a system that awards five for each vowel.
Answer C
The answer is: C | C |
mathematics | The average of six numbers is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers? | [
"4.5",
"4.6",
"4.7",
"4.8",
"4.9"
]
| Sum of the remaining two numbers
= (3.95 × 6) – [(3.4 × 2) + (3.85 × 2)]
= 23.70 – (6.8 + 7.7)
= 23.70 – 14.5 = 9.20
∴ Required average = (9.2⁄2) = 4.6
Answer B
The answer is: B | B |
mathematics | Ravi purchased a refrigerator and a mobile phone for Rs. 10000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 10 percent. Overall he make a. | [
"loss of Rs. 200",
"loss of Rs. 100",
"profit of Rs. 100",
"profit of Rs. 400",
"None of these"
]
| Total C.P. = 10000+8000 = 18000
S.P. of fridge = 10000/100*96= 9600
S.P. of Mobile = 8000/100*110 = 8800
Total S.P. = 9600 + 8800 = 18400
Tota. S.P. - Total C.P. = 18400 - 18000 = 400
Answer : D
The answer is: D | D |
mathematics | The output of a factory was increased by 15% to keep up with rising demand. To handle the holiday rush, this new output was increased by 20%. By approximately what percent would the output now have to be decreased in order to restore the original output? | [
"20%",
"27%",
"30%",
"32%",
"79%"
]
| The original output increases by 15% and then 20%.
Total % change = a + b + ab/100
Total % change = 15 + 20 + 15*20/100 = 38%
Now, you want to change it to 0, so,
0 = 38 + x + 38x/100
x = -38(100)/138 = 27% approximately
Answer is B
The answer is: B | B |
mathematics | Soniya deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much? | [
"9680",
"9850",
"9745",
"9623",
"9324"
]
| (8000*3*2)/100 = 480
9200
--------
9680
ANSWER A
The answer is: A | A |
mathematics | A seven-digit phone number is divisible by 8. After adding the two digits of the area code the number is not divisible by 8, which of the following cannot be the area code? | [
"07.",
"05.",
"08.",
"04.",
"02."
]
| Given that 7 digit number is divisible by 8
we know any number will not be divisible by 8 if the sum of all digits of the number is not the multiple of 8.
Hence looking at the option we can say that the number that should be added to the seven digit number must be 08 as adding it will make it divisible by 8... hence answer is C
The answer is: C | C |
mathematics | A group of n students can be divided into equal groups of 4 with 2 student left over or equal groups of 5 with 2 students left over. What is the sum of the two smallest possible values of n? | [
"33",
"46",
"49",
"64",
"86"
]
| 4x+2 = 5y+2...........ie: 4x-5y = 0
x,y must be >1 and y is even ie ( 2,4,6,..etc)
if y = 2 thus x is fraction
if y = 4 thus x =5 n =22
if y = 6 thus x = not possible fraction
if y =8 thus x = 10 n =42
n= 22+42= 64
D
The answer is: D | D |
mathematics | If we have 10 people in a meeting, in how many ways they can sit around a table? | [
"10*9!",
"9*8!",
"8*7!",
"7*6!",
"6*5!"
]
| If there arenpeople sitting around a table, there are(n-1)!possible arrangements:
Here, n=10
(n-1)!=9!=9*8!
Ans:B
The answer is: B | B |
mathematics | At a small company, 58 percent of the employees are women, and 60 percent of the employees are married. If 2/3 of the men are single, what fraction of the women are married? | [
"5/16",
"1/3",
"9/20",
"7/10",
"41/58"
]
| Lets take total employees are 100.
Given that,Total Women= 58 and Total Married = 60.
Total Men = 100 - 58 = 42 and Single men = 2/3*42 = 28.
Married men = total men - single men = 47 - 28 = 19.
Married women= Total married - Married men = 60 - 19 = 41.
Fraction of women are married = Married women / Total Women = 41 / 58 = 5/7. ANS E
The answer is: E | E |
mathematics | 5358 x 51 = ? | [
"273255",
"273257",
"273258",
"273260",
"273262"
]
| 5358 x 51 = 5358 x (50 + 1)
= 5358 x 50 + 5358 x 1
= 267900 + 5358
= 273258.
C)
The answer is: C | C |
mathematics | The prices of tea and coffee per kg were the same in june. In july the price of coffee shot up by 20% and that of tea dropped by 10%. if in july , a mixture containing equal quantities of tea and coffee costs 50/kg. how much did a kg of coffee cost in june ? | [
"45",
"40",
"35",
"47.61",
"30"
]
| Let the price of tea and coffee be x per kg in June.
Price of tea in July = 1.2x
Price of coffee in July = 0.9x .
In July the price of 1/2 kg (500gm) of tea and 1/2 kg (500gm) of coffee (equal quantities) = 50
1.2x(1/2) + 0.9x(1/2) = 50
=> x =47.61
D
The answer is: D | D |
mathematics | Sarah's seafood restaurant gets a delivery of fresh seafood every day, 5 days per week, and her delivery company charges herddollars per delivery plusccents per item delivered. If lst week Sarah's seafood restaurant had an average ofxitems per day delivered, then which of the following is the total cost, in dollars, of last week's deliveries ? | [
"5cdx/100",
"d + 5cx/100",
"5d + xc/100",
"5d + 5xc/100",
"5cdx"
]
| Answer is D. Straight forward question.
The answer is: D | D |
mathematics | A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in? | [
"65",
"77",
"24",
"71",
"27"
]
| Explanation:
B = 1/8 – 1/2 = 1/24 => 24 days
Answer:C
The answer is: C | C |
mathematics | WINK,INC recently conducted a survey and found that 180,000 of its customers live in rural areas. if the number of it customers who live in urban areas is 200 percents grater than the numbers of customers who live in rural areas, how many of WINK,INC customers live in urban areas ? | [
"200,000",
"216,000",
"360,000",
"480,000",
"540.0"
]
| Let's say that we have a starting value of X...
100% of X = X
100% MORE than X = X + X = 2X
200% MORE than X = X + 2X = 3X
300% MORE than X = X + 3X = 4X
Etc.
Here, we're told that 180,000 customers live in rural areas and the number who live in urban areas is 200% GREATER than the number who live in rural areas. That means that the number who are in urban areas is 3 times the number in rural areas...
3(180,000) = 540,000
Final Answer:E
The answer is: E | E |
mathematics | Two diesel trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet? | [
"10 sec",
"30 sec",
"40 sec",
"20 s",
"50 sec"
]
| D
Relative speed = (42 + 30) * 5/18 = 4 * 5 = 20 mps.
Distance covered in passing each other = 120 + 280 = 400 m.
The time required = d/s = 400/20 = 20 sec.
The answer is: D | D |
mathematics | How much time will take for an amount of Rs. 360 to yield Rs. 81 as interest at 4.5% per annum of simple interest? | [
"5 years",
"6 years",
"7 years",
"12 years",
"15 years"
]
| Time = (100 * 81) / (360 * 4.5) = 5 years
ANSWER:A
The answer is: A | A |
mathematics | Which of the following CANNOT be a value of 4/(x–4)? | [
"-1",
"-1/2",
"0",
"2",
"6"
]
| The question doesn't ask for the value of x here, but for the possible results of the equation.
If 4/(x-4) = 0, then the numerator must be 0. But since the numerator is 4, the fraction can not be equal to 0.
The answer is C.
The answer is: C | C |
mathematics | O(x) represents the least odd integer greater than x, whereas o(x) represents the greatest odd integer less than x. Likewise, E(x) represents the least even integer greater than x, whereas e(x) represents the greatest even integer less than x. According to these definitions, the value of O(3.2) + E(–1.7) + o(–3.3) + e(4.7) is: | [
"3",
"4",
"5",
"6",
"7"
]
| O(3.2) + E(–1.7) + o(–3.3) + e(4.7) = 5 + 0 + (-5) + 4 = 4
The answer is B.
The answer is: B | B |
mathematics | A watch was sold at a loss of 46%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price? | [
"280",
"288",
"279",
"277",
"290"
]
| 54%
104%
--------
50% ---- 140
100% ---- ? => Rs.280
Answer: A
The answer is: A | A |
mathematics | If Josh, Doug, and Brad have a total of $80 between them, and Josh has five times as much money as Brad but only half as much as Doug, how much money does Doug have? | [
"$8",
"$9",
"$27",
"$32",
"$50"
]
| Josh+Doug+Brad = 72 ; Josh = 5 Brad, Josh =1/2 Doug
Josh+1/5 Josh+ 2/1 Josh = 80 (substituted the given values)
Josh = 25. 25= 1/2 Doug => Doug =50
Answer is E.
The answer is: E | E |
mathematics | Adam borrowed some money at the rate of 6% p.a. for the first two years, at the rate of 9% p.a. for the next three years, and at the rate of 14% p.a. for the period beyond four years. If he pays a total interest of 11,900 at the end of nine years, how much money did he borrow? | [
"10,526",
"12,526",
"14,000",
"16,000",
"16,536"
]
| Let the sum borrowed be x. Then,
(x×6×21/00)+(x×9×3/100)+(x×14×4/100)= 11900
⇒ (3⁄25x + 27⁄100x + 14⁄25x) = 11400 ⇒ 95⁄100x = 11900
⇒ x = (11900×100/95)= 12526
Hence, sum borrowed = 12,526
Answer B
The answer is: B | B |
mathematics | 3889 + 12.998 - ? = 3854.002 | [
"A)47.996",
"B)47.752",
"C)47.932",
"D)47.95",
"of the above"
]
| Let 3889 + 12.998 - x = 3854.002.
Then x = (3889 + 12.998) - 3854.002
= 3901.998 - 3854.002
= 47.996.
Answer = A
The answer is: A | A |
mathematics | The Hobo Music Orchestra is comprised of, 3/5 wind instrument musicians, 1/4 string instrument musicians, and the rest are percussion instrument musicians. If half of the string instrument musicians are violinists, and the conductor doubles the number of violinists, what proportion of the orchestra are now wind instrument musicians? | [
"9/10",
"6/11",
"7/15",
"1/2",
"6/7"
]
| Wind = 3/5 = 12/20
String = 1/4 = 4/20
Percussion = 1 - (12/20 + 4/20) = 1 - 16/20 = 4/20
Violinists = (1/2)(4/20) = 2/20
If Violinists doubled => (2)(2) = 4; then, total = 12 + 6 + 4 = 22,
and 12 are Wind => proportion = 12/22 = 6/11.
Answer: B
The answer is: B | B |
mathematics | At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years? | [
"5%",
"3 1/2%",
"4%",
"5 1/2 %",
"6 1/2 %"
]
| Explanation:
150 = (750*5*R)/100
R = 4%
ANSWER IS C
The answer is: C | C |
mathematics | How many 3-digit numbers are completely divisible 6 ? | [
"149",
"150",
"151",
"166",
"172"
]
| Explanation:
3-digit number divisible by 6 are: 102, 108, 114,... , 996
This is an A.P. in which a = 102, d = 6 and l = 996
Let the number of terms be n. Then tn = 996.
a + (n - 1)d = 996
102 + (n - 1) x 6 = 996
6 x (n - 1) = 894
(n - 1) = 149
n = 150
Number of terms = 150.
ANSWER IS B
The answer is: B | B |
mathematics | A pipe X is 30 meters and 45% longer than another pipe Y. find the length of the pipe Y. | [
"20.12",
"20.68",
"20",
"20.5",
"None of these"
]
| Explanation :
Length of pipe X = 30 meter
Given that pipe X is 45% longer than Y
Let the length of pipe Y = y
Then, Length of pipe X =y×(100+45)/100
⇒ 30 = y × (145/100) => y = 30×100/145=6×100/29=600/29=20.68
Answer : Option B
The answer is: B | B |
mathematics | The purchase price of an article is $48. In order to include 30% of cost for overhead and to provide $12 of net profit, the markup should be | [
"15%",
"25%",
"35%",
"40%",
"55%"
]
| Cost price of article = 48$
% of overhead cost = 30
Net profit = 12 $
We need to calculate % markup
Net profit as % of cost price = (12/48)*100 = 25%
Total markup should be = 25 + 30 = 55%
Answer E
The answer is: E | E |
mathematics | What is the smallest number which when increased by 7 is divisible by 25, 49, 15, and 21? | [
"3,551",
"3,668",
"3,733",
"3,822",
"3,957"
]
| First factor each of 25, 49, 15, and 21 into primes:
25=5*5; 49=7*7; 15=3*5; 21=3*7
the smallest number divisible by each of the numbers is 3*5*5*7*7 = 3,675
3,675-7 = 3,668 thus 3,668 + 7 is the smallest number divisible by 25, 49, 15, and 21
B
The answer is: B | B |
mathematics | The cost of 2 chairs and 3 tables is Rs.1500. The cost of 3 chairs and 2 tables is Rs.1200. The cost of each table is more than that of each chair by? | [
"228",
"287",
"277",
"188",
"300"
]
| Explanation:
2C + 3T = 1500 --- (1)
3C + 2T = 1200 --- (2)
Subtracting 2nd from 1st, we get
-C + T = 300 => T - C = 300
Answer:E
The answer is: E | E |
mathematics | A bus leaves Burbank at 9:00 a.m. traveling east at 50 miles per hour. At 1:00 p.m. a plane leaves Burbank traveling east at 300 miles per hour. At what time will the plane overtake the bus? | [
"12:45 p.m.",
"1:10 p.m",
"1:40 p.m",
"1:48 p.m",
"1:55 p.m"
]
| distance = speed * time
from 9:00 am to 1:00 pm total is 4 hrs
In 4 hrs bus travels a distance of 50 * 4 = 200 miles
plane starts travelling in same direction so relative speed = 300 - 50 = 250 miles/hr
distance the plane needs to cover so as to overtake the bus is 200 miles
time = 200 /250 = 4/5 hrs = 48 minutes
so at 1:48 pm the plane overtakes the bus
Correct answer - D
The answer is: D | D |
mathematics | In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of four metre is left from all sides of the boundary of the garden. What is the length of the garden? | [
"22",
"24",
"26",
"28",
"30"
]
| Between the 12 mango trees, there are 11 gaps and each gap has 2 meter length
Also, 4 meter is left from all sides of the boundary of the garden.
Hence, length of the garden = (11 × 2) + 4 + 4 = 30 meter
Answer is E.
The answer is: E | E |
mathematics | Five persons are to be selected from a group of 7 males and 6 females to form party so that at least 3 male members are there on the committee. What are the possible number of ways to form the party ? | [
"756",
"765",
"785",
"789",
"None"
]
| From a group of 7 men and 6 women, five persons are to be selected with at least 3 men. So we can have (5 men) or (4 men and 1 woman) or (3 men and 2 woman) (7C5)+(7C4 * 6C1)+(7C3** 6C2)=[21+35*6+35*15]=756
Answer A
The answer is: A | A |
mathematics | Given that 100.48 = x, 100.70 = y and xz = y², then the value of z is close to | [
"1.2",
"1.45",
"2.2",
"2.9",
"NOne"
]
| Sol.
xz = y² ⇔ (10 0.48 )z(100.70)2 (10 0.48z) = 10(2×0.70) = 101.40
⇔ 0.48z = 1.40 ⇔ z= 140/48 = 35/12 = 2.9 (approx).
Answer D
The answer is: D | D |
mathematics | The average of ten numbers is 7. If each number is multiplied by 10, then what is the average of the new set of numbers? | [
"7",
"17",
"70",
"100",
"107"
]
| The sum of the ten numbers is 7*10 = 70
If each number is multiplied by 10, the new sum is 10*(70).
The average is then 10*7 = 70
The answer is C.
The answer is: C | C |
mathematics | If a and b are integers and (2^a)(3^b) is a factor of 900^40, what is the largest possible value of ab? | [
"2a",
"5a",
"20a",
"40a",
"80a"
]
| (2^a)(3^b) is a factor of 900^40
We need to find the largest possible value of ab.
We know that 900 = 2^2*5^2*3^2
Therefore 900^40 will have 2 powers of 3 in it.
Hence in (2^a)(3^b), b has to 2
Therefore value of ab = 2a
Correct Option: A
The answer is: A | A |
mathematics | A 5-year investment note offers a 10% return on purchase, and a compounding 5% for each year after the first. If there is a $500 penalty for early redemption, and the note is redeemed for $6430 after the second year, what was the original purchase price? | [
"$ 6,000",
"$ 6,048",
"$ 6,100",
"$ 6,150",
"$ 6,200"
]
| Since the note was redeemed after 2 years, so a penalty of $500 has to be submitted. So the amount that is redeemed after 6430 is after the deduction of $500.
Hence the amount after being compounded is 6930.
Let the initial amount be P.
After the return, the amount becomes 1.1P.
Now use this 1.1P as the principle in the compound interest formula to get the amount 6930.
A=1.1P(1+5/100)A=1.1P(1+5/100)
where A=6930.
Therefore, use
6930=1.1P(1+5/100)6930=1.1P(1+5/100) to get P as $6000.
ANSWER:A
The answer is: A | A |
mathematics | A company recently conducted a survey and found that 25,000 of its customers live in rural areas. If the number of customers who live in urban areas is 120 percent greater than the number of customers who live in rural areas, how many customers live in urban areas? | [
"50,000",
"55,000",
"60,000",
"65,000",
"70,000"
]
| The number of customers in urban areas is 25,000+1.2*25,000=55,000.
The answer is B.
The answer is: B | B |
mathematics | A train 120 m long passed a pole in 6 sec. How long will it take to pass a platform 360 m long? | [
"20 sec",
"21",
"22",
"23",
"24"
]
| Speed = 120/6
= 20 m/sec.
Required time
= (120 + 360)/20
= 24 sec.
Answer:E
The answer is: E | E |
mathematics | The smallest number when increased by " 1 " is exactly divisible by 2, 8, 24, 36 is: | [
"71",
"70",
"72",
"73",
"36"
]
| LCM = 72
72 - 1 = 71
ANSWER:A
The answer is: A | A |
mathematics | The subsets of the set {w, x, y} are {w}, {x}, {y}, {w, x}, {w, y}, {x,y}, {w, x, y}, and { } (the empty subset).
How many subsets of the set {w, x, y, z} contain w? | [
"Four",
"Five",
"Seven",
"Eight",
"Sixteen"
]
| The number of ways of selecting 0 or more from n elements is 2^n.
Hence here, once you select w , the number of ways of selecting 0 or more from x,y and z ( 3 elements) is 2^3 = 8.
The same applies for {w, x, y}. If you select w here, the number of ways of selecting 0 or more from x and y = 2^2 = 4
ANSWER:A
The answer is: A | A |
mathematics | A bowl contains equal numbers of red, orange, green, blue, and yellow candies. Kaz eats all of the green candies and half of the orange ones. Next, he eats half of the remaining pieces of each color. Finally, he eats red and yellow candies in equal proportions until the total number of remaining candies of all colors equals 20% of the original number. What percent of the red candies remain? | [
"5%",
"7.5%",
"10%",
"12.5%",
"15%"
]
| Let x be the original number of each color.
Kaz eats all of the green candies and half of the orange ones.
There are 0 green candies and 0.5x orange candies remaining.
He eats half of the remaining pieces of each color.
There are 0.25x orange candies, and 0.5x each of red, yellow, and blue candies.
He eats red and yellow candies in equal proportions.
orange+blue+red+yellow = 0.75x + red + yellow = x
red + yellow = 0.25x
red = 0.125x, since red = yellow.
The answer is D.
The answer is: D | D |
mathematics | 9 people decided to split the restaurant bill evenly. If the bill was $314.16 dollars, how much money did they 1 cent is the smallest unit? | [
"$314.16",
"$314.17",
"$314.18",
"$314.19",
"$314.20"
]
| This is equivalent to finding the first number that is divisible by 9 that occurs after 31416.
In order to divide the sum in 9 parts, the amount must be divisible by 9
Divisibility rule of 9: The sum of the digits must be divisible by 9
Sum of digits of 31416 = 15 and 18 is divisible by 9.
Hence, we need to add 3 to this number for it to be divisible by 9
Correct Option: D
The answer is: D | D |
mathematics | A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17thinnings? | [
"11",
"7",
"76",
"37",
"9"
]
| 16x + 85 = 17(x + 3)
x = 34 + 3 = 37
Answer: D
The answer is: D | D |
mathematics | The volume of a rectangular swimming pool is 840 cubic meters and water is flowing into the swimming pool. If the surface level of the water is rising at the rate of 0.5 meters per minute, what is the rate R, in cubic meters per minutes, at which the water is flowing into the swimming pool? | [
"0.125",
"0.25",
"0.5",
"0.75",
"Not enough information to determine the rate"
]
| The correct answer is E.
There are not enough info to answer the question.
A 840 cubic meters rectangle is built from: height*length*width.
From the question we know the volume of the pool and the filling rate.
A pool can have a height of 10*width8.4*length10 and have a volume of 840 cubic meters, and it can have a height of 1 meter, width of 100 meters and length of 8.4. In both cases the pool will fill up in a different rate = E
The answer is: E | E |
mathematics | A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3.5 a rupee. Find his net profit or loss percent? | [
"13.2 %",
"15.2 %",
"14.28 %",
"32 1/3 %",
"33 1/2 %"
]
| The total number of mangoes bought by the shopkeeper be 12.
If he buys 4 a rupee, his CP = 3.5
He selling at 3.5 a rupee, his SP = 4
Profit = SP - CP = 4 - 3.5 = 0.5
Profit Percent = 0.5/3.5 * 100 = 14.28 %
Answer:C
The answer is: C | C |
mathematics | Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is: | [
"22",
"11",
"44",
"33",
"55"
]
| Let the numbers be 3x and 5x.
Then, 3x - 9/5x - 9 = 12/23
= 23(3x - 9)
= 12(5x - 9)
= 9x = 99
x = 11.
Therefore, The smaller number = (3 x 11) = 33.
Answer is D.
The answer is: D | D |
mathematics | A and B undertake to do a piece of work for Rs. 600. A alone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. Find the share of A | [
"300",
"450",
"750",
"800",
"None of them"
]
| C's 1 day's work = 1/3-(1/6+1/8)=24
A : B : C = Ratio of their 1 day's work = 1/6:1/8:1/24= 4 : 3 : 1.
A’s share = Rs. (600 *4/8) = Rs.300, B's share = Rs. (600 *3/8) = Rs. 225.
C's share = Rs. [600 - (300 + 225») = Rs. 75.
Answer is A
The answer is: A | A |
mathematics | If 3 people can do 3 times of a particular work in 3 days, then how many days would it take 9 people to do 9 times of that particular work? | [
"1",
"2",
"3",
"9",
"12"
]
| 3 people can do the work one time in one day.
1 person can do 1/3 of the work in one day.
9 people can do 9/3 of the work in one day.
9 people can do 9 times the work in 3 days.
The answer is C.
The answer is: C | C |
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