subject
stringclasses 1
value | question
stringlengths 3
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stringclasses 5
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|---|---|---|---|---|
mathematics
|
The second of two numbers is two less than three times the first. Find the numbers if there sum is
26.
|
[
"7-19",
"8-20",
"10-16",
"15-9",
"20-6"
] |
We are looking for two numbers.
#1 - x
#2 - 3x – 2
The sum is 26. #1 + #2 = 26
Substituting x + 3x – 2 = 26
4x – 2 = 26
4x = 28
x = 7
The first number is 7, the second number is two less than three times 7 or 19.
correct answer A
The answer is: A
|
A
|
mathematics
|
What is the largest 4 digit number exactly divisible by 88?
|
[
"9944",
"9999",
"9988",
"9900",
"None of these"
] |
Explanation :
Largest 4 digit number = 9999
9999 ÷ 88 = 113, remainder = 55
Hence largest 4 digit number exactly divisible by 88 = 9999 - 55 = 9944. Answer : Option A
The answer is: A
|
A
|
mathematics
|
It is currently 7:05 PM. What time was it in the morning exactly 51,132 minutes ago?
|
[
"6:53",
"6:55",
"6:59",
"7:03",
"7:09"
] |
Convert 51,132 minutes to hours by dividing by 60: 51,132/60 = 852 R12. That is 852 hours, 12 minutes. Convert 852 hours to days by dividing by 24: 852/24 = 35 R12. That is 35 days, 12 hours. Thus 852 hours before 7:05 PM is 12 hours before 7:05 PM which is 7:05 AM. 12 minutes before that is 6:53 AM. A
The answer is: A
|
A
|
mathematics
|
In how many ways can 4 arts and 5 science students be arranged in a row so that the arts and the science students are placed alternately?
|
[
"2880",
"1850",
"3260",
"5200",
"360*120"
] |
The four art students can be arranged in those 4 A-slots in 4! = 24 ways.
The five science students can be arranged in those 5 S-slots in 5! =120 ways.
Total arrangements = 24 *120 = 2880
Answer =(A)
The answer is: A
|
A
|
mathematics
|
How many prime numbers between 1 and 100 are factors of 67830?
|
[
"4",
"5",
"6",
"3",
"2"
] |
factor of 67830 = 2*3*5*7*17*19--- 6 prime numbers
C
The answer is: C
|
C
|
mathematics
|
In the seaside summer camp there are 50 children. 90% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen?
|
[
"50.",
"45.",
"40.",
"30.",
"25."
] |
Given there are 50 students In the seaside summer camp , 90% of 50 = 45 boys and remaining 5 girls.
Now here 90% are Boys and 10% are Girls.
Now question is asking about how many boys do we need to add, to make the girls percentage to 5 or 5%..
If we add 50 to existing 45 then the count will be 95 and the girls number will be 5 as it.
Now boys are 95% and girls are 5%. ( out of 100 students = 95 boys + 5 girls ).
IMO option A is correct.
The answer is: A
|
A
|
mathematics
|
The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers?
|
[
"2",
"3",
"9",
"7",
"1"
] |
Explanation:
Let the ten's digit be x and units digit by y.
Then,
(10x + y) - (10y + x) = 63
9(x - y) = 63
x - y = 7
Thus, none of the numbers can be determined.
Answer: D
The answer is: D
|
D
|
mathematics
|
If the terms of a series are either2or24and the sum of all the terms S of the series is 124, then which of the following could be the number of2sin the series?
|
[
"26",
"29",
"35",
"40",
"48"
] |
Ans: A
Solution: we are not certain how many 2 or 24 are there. but as given sum of all the terms is 124 means 24*5= 120 so number of 24 can't be more than 5
so S=24x +2y = 124
24*5 + 2y =124 then y=2
24*4 + 2y = 124 then y=14
24*3 +2y = 124 then y= 26
24*2 +2y =124 then y = 38
24 +2y = 124 then y= 50
26 is the ans.
The answer is: A
|
A
|
mathematics
|
Aravind had $ 2100 left after spending 30 % of the money he took for shopping. How much money did he
take along with him?
|
[
"3000",
"3300",
"3400",
"3700",
"4000"
] |
Let the money he took for shopping be m.
Money he spent = 30 % of m
= 30/100 × m
= 3/10 m
Money left with him = m – 3/10 m = (10m – 3m)/10 = 7m/10
But money left with him = $ 2100
Therefore 7m/10 = $ 2100
m = $ 2100× 10/7
m = $ 21000/7
m = $ 3000
Therefore, the money he took for shopping is $ 3000.
A)
The answer is: A
|
A
|
mathematics
|
After decreasing 24% in the price of an article costs Rs.532. Find the actual cost of an article?
|
[
"118",
"677",
"700",
"2688",
"1991"
] |
CP* (76/100) = 532
CP= 7 * 100 => CP = 700
Answer: C
The answer is: C
|
C
|
mathematics
|
The population of cities A and B is equal. The population of city A increases in two successive years by 20% and 15% respectively and that of city B increases successively by 20% and 10% respectively. If the difference in the population of two cities after 2 years is 768, then what was the total population of the two cities initially?
|
[
"12,800",
"26,500",
"24,600",
"25,600",
"27,600"
] |
Population of city A = Population of city B = A
M . F of A = 120/100*115/100 = 138/100
M . F of B = 120/100*110/100 =132/100
Population of A after 2 years = A*138/100
Population of B after 2 years = A*132/100
Difference = A/100( 138 –132 ) = 768
A = 768*100/6 = 12800
Total initial population = 12800+12800 = 25,600
ANSWER:D
The answer is: D
|
D
|
mathematics
|
An amount of Rs. 75000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested in each share was?
|
[
"s. 46875; Rs. 28125",
"s. 62500; Rs. 37500",
"s. 72500; Rs. 27500",
"s. 82500; Rs. 17500",
"s. 72500; Rs. 17500"
] |
Let the sum invested at 9% be Rs. x and that invested at 11% be Rs. (75000 - x). Then,
(x * 9 * 1)/100 + [(75000 - x) * 11 * 1]/100 = (75000 * 39/4 * 1/100)
(9x + 825000 - 11x)/100 = 39000/4 = 14625/2
x = 46875
Sum invested at 9% = Rs. 46875
Sum invested at 11% = Rs. (75000 - 46875) = Rs. 28125.
ANSWER: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 :
|
[
"22",
"25",
"45",
"32",
"15"
] |
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 is A
The answer is: A
|
A
|
mathematics
|
There are 7 couples. If they will sit 14 chairs in a row such that each couple sits side by side, how many possible cases are there?
|
[
"120",
"240",
"1,200",
"2,460",
"654120"
] |
Tie the couples. Then we have 5 persons that have to be arranged in 4 places. 4! ways.
Now the couples can change position with each other. 2! ways.
7! * (2!)^7=5040 *128 = 645120
Answer is E.
The answer is: E
|
E
|
mathematics
|
In a box, there are 7 red, 3 blue and 5 green balls. One ball is picked up randomly. What is the probability that it is neither blue nor green?
|
[
"2/3",
"8/21",
"3/7",
"7/15",
"10/21"
] |
Explanation:
Total number of balls = (7 + 3 + 5) = 15.
Let E = event that the ball drawn is neither blue nor green =e vent that the ball drawn is red.
Therefore, n(E) = 7.
P(E) = 7/15.
Answer: Option D
The answer is: D
|
D
|
mathematics
|
An aircraft is flying at a height of 3000m from the ground at an average speed of 400 km/hr while descending. It has to travel 5 kms before it can touch down the runway and start operating its break system. It will take less than 10 seconds to reach the touch down point. How far it is from the touch down point if it had been on they ground.
|
[
"5 kms",
"4 kms",
"3 kms",
"6 kms",
"none of these"
] |
answer is 4
simple Pythagoras theorem
ANSWER:B
The answer is: B
|
B
|
mathematics
|
A cube marked 1, 2, 3, 4, 5, and 6 on its six faces. Three colors, red, blue, and green are used to paint the six faces of the cube. If the adjacent faces are painted with the different colors, in how many ways can the cube be painted?
|
[
"3",
"6",
"8",
"12",
"27"
] |
There are 4 adjacent sides for every face of the cube.
Let's say side 1 is painted red, then the 4 adjacent sides can be either green or blue alternating. This can be done in 2 ways.
GBGB
BGBG
Sixth side should be the same color as side 1.
For each color chosen for side 1(and side6) there are 2 ways of painting side 2,3,4 and 5.
No. of colors that can be chosen for side 1(and side6) is 3.
So 3*2 = 6..
ANSWER:B
The answer is: B
|
B
|
mathematics
|
For any numbers a and b, a#b = ab(5 − b). If a and a#b both represent positive numbers, which of the following could be a value of b?
|
[
"3,2",
"3,2,1",
"4,3,2,1",
"4.4",
"5,4"
] |
a#b positive then b may be positive or negative. if positive then b< 5 may be 4,3,2 or 1 and if negative then it is more than or equal to -1 negative . ab will be -ve which is not possible as a and a#b should be positive.
ans 4 ,3,2 and 1
C
The answer is: C
|
C
|
mathematics
|
Sachin can cover a distance in 1hr 24 min by covering 2/3 of the distance at 4 kmph and the rest at 5 kmph. The total distance is?
|
[
"6 km",
"8 km",
"9 km",
"11 km",
"12 km"
] |
Let total distance =D=D
Distance travelled at 4 kmph speed =(23)D=(23)D
Distance travelled at 5 kmph speed =(1−23)D=(13)D=(1−23)D=(13)D
Total time =1 hr 24 min = (60+24) min =8460=8460 hr =2115=2115 hr
We know,
Time=DistanceSpeedTime=DistanceSpeed
Total time
2115=2/34D+1/35D2115=2/34D+1/35D
2115=2D12+D152115=2D12+D15
84=14D84=14D
D=6 km
Option A is correct
The answer is: A
|
A
|
mathematics
|
In a village there are 20 men and 25 women. In how many ways can a man and a woman be selected?
|
[
"200",
"300",
"500",
"600",
"650"
] |
We can select one men from 20 women in 20 ways.
We select one woman from 25 women in 25 ways
We select a Men and women in 20 * 25 ways i.e., = 500 ways.
C
The answer is: C
|
C
|
mathematics
|
Which of the following is/are terminating decimal(s)?
I 299/(32^123)
II 189/(49^99)
III 127/(25^37)
|
[
"I only",
"I and III",
"II and III",
"II only",
"I, II, III"
] |
The fraction will have terminating decimal if and only if the denominator of the fraction is of the form (2^n)(5^m).
If you look at the denominators:
1) (32^123) => (2^(5*123))(5^0) => Terminating Decimal
2) (49^99) => Can't be expressed as (2^n)(5^m) => Non terminating Decimal
3) (25^37) => (2^0)(5^(2*37)) => Terminating Decimal
Hence 1 and 3 are terminating decimals => Choice [B]
The answer is: B
|
B
|
mathematics
|
In a bag, there are 5 green, 6 black and 7 red pens. One pen is picked up randomly. What is the probability that it is neither red nor green?
|
[
"5/18",
"7/18",
"1/3",
"1/2",
"1/5"
] |
Explanation :
Neither red nor green means the pen drawn is black.
Total number of outcomes = (5+6+7) = 18.
Number of Favourable outcomes = 6 = Number of black pens.
Hence, Probability of the event = 6/18 = 1/3.
Answer : C
The answer is: C
|
C
|
mathematics
|
In an election between two candidates, the winner has a margin of 20% of the votes polled. If 3000 people change their mind and vote for the loser, the loser would have won by a margin of 20% of the votes polled. Find the total number of votes polled in the election?
|
[
"15000",
"20000",
"30000",
"60000",
"45000"
] |
Winner - Looser
60% - 40%
If 3000 people change their mind and vote for the loser:
Winner - Looser
40% - 60%
Thus 3,000 people compose 20% of all voters, which means that the total number of votes is 15,000.
Answer: A
The answer is: A
|
A
|
mathematics
|
In the line xy plane line m has the equation y = 3x - 10, then the line m passes through which of the following points?
|
[
"(3, 1)",
"(3, 4)",
"(4, 2)",
"(6, 9)",
"(6, 15)"
] |
Yes it is y=3x-8....extremely sorry for mistake....
IF that's the case then answer is C
y=3x-8
2=3X4-10
2=12-10
2=2 (satisfied)
The answer is: C
|
C
|
mathematics
|
A man bought a horse and a carriage for Rs. 3000. He sold the horse at a gain of 20% and the carriage at a loss of 10%, thereby gaining 2% on the whole. Find the cost of the horse.
|
[
"2200",
"1800",
"1200",
"1000",
"1500"
] |
Let the C.P of the horse be Rs. X, Then, C.P of the carriage = Rs.(3000- x).
20% of x - 10% of ( 3000-x ) =2% of 3000 = 60,
x/5 - ( 3000-x )/10 = 60, 3x - 3000 = 600, 3x =3600, x = 1200.
Hence, C.P of the horse = Rs. 1200
ANSWER:C
The answer is: C
|
C
|
mathematics
|
Six years ago, the ratio of ages of Kunal and Sagar was 6:5. Four years hence, the ratio of their ages will be 11:10. What is Sagar's age at present?
|
[
"16",
"17",
"8",
"12",
"10"
] |
Let the ages of Kunal and Sagar 6 years ago be 6x and 5x years respectively.
Then, [(6x + 6) + 4] / [(5x + 6) + 4] = 11/10
10(6x + 10) = 11(5x + 10) => x = 2
Sagar's present age = (5x + 6) = 16 years.Answer: A
The answer is: A
|
A
|
mathematics
|
Rs.1170 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?
|
[
"177",
"169",
"199",
"540",
"123"
] |
A+B+C = 1170
4A = 3B = 2C = x
A:B:C = 1/4:1/3:1/2 = 3:4:6
6/13 * 1170 = Rs.540
Answer: D
The answer is: D
|
D
|
mathematics
|
The speed at which a girl can row a boat in still water is 30 kmph. If she rows downstream, where the speed of current is 6 kmph, what time will he take to cover 240 metres?
|
[
"21",
"22",
"23",
"20",
"24"
] |
Speed of the boat downstream = 30 + 6 = 36 kmph
= 36 * 5/18 = 10 m/s
Hence time taken to cover 240 m = 240/10 = 24 seconds.
Answer: E
The answer is: E
|
E
|
mathematics
|
If money is invested at r percent interest, compounded annually, the amount of investment will double in approximately 70/r years. If Pat's parents invested $ 5000 in a long term bond that pays 8 percent interest, compounded annually, what will be the approximate total amount of investment 18 years later, when Pat is ready for college?
|
[
"20000 dollars",
"$15000",
"$12000",
"$10000",
"$9000"
] |
Since investment doubles in 70/r years then for r=8 it'll double in 70/8=~9 years (we are not asked about the exact amount so such an approximation will do). Thus in 18 years investment will double twice and become ($5,000*2)*2=$20,000 (after 9 years investment will become $5,000*2=$10,000 and in another 9 years it'll become $10,000*2=$20,000).
Answer: A.
The answer is: A
|
A
|
mathematics
|
If the price of a certain computer increased 30 percent from x dollars to 351 dollars, then 2x =
|
[
"540",
"570",
"619",
"649",
"700"
] |
Before Price increase Price = x
After 30% Price increase Price = x+(30/100)*x= 1.3x = 351 (Given)
i.e. x= 351/1.3 = $270
i.e. 2x = 2*270 = 540
Answer: option A
The answer is: A
|
A
|
mathematics
|
There were two candidates in an election. Winner candidate received 62% of votes and won the election by 324 votes. Find the number of votes casted to the winning candidate?
|
[
"456",
"837",
"912",
"1200",
"1400"
] |
W = 62% L = 38%
62% - 38% = 24%
24% -------- 324
62% -------- ? => 837
ANSWER:B
The answer is: B
|
B
|
mathematics
|
Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 50 white marbles. How many red marbles could be in bag A?
|
[
"1",
"5",
"4",
"6",
"8"
] |
6 is the answer.
Bag A-
R:W:B = 2:6:9
Let W in bag A be 6K
Bab B -
R:W = 1:4
Let W in bag B be 4k
W =50 = 6K+4k
=> k= 5
Total Red's in bag A will be 2K = 10
B
The answer is: B
|
B
|
mathematics
|
In January of 2016, there were 100 cats and 125 dogs in a town. In January of 2017, there were 115 cats and 150 dogs. By approximately what percent did the ratio of cats to dog decrease from the 2016 to 2017.
|
[
"12.9%",
"11.0%",
"15%",
"18%",
"5%"
] |
2016: cats/dogs = 100/125 =660/750
2017: cats/dogs = 115/150 =575/750
ASIDE: It's useful to write both ratios with the same denominator. This allows us to IGNORE the denominator and focus solely on the numerators.
So, our ratio went from 660/750 to 575/750
Ignoring the denominators, we went from 660 to 575
The percent change = 100(difference in values)/(original value)
= (100)(660-575)/660
= (100)(85)/660)
≈ 12.878...
Answer: A
The answer is: A
|
A
|
mathematics
|
How much space, in cubic units, is left vacant when maximum number of 7x7x7 cubes are fitted in a rectangular box measuring 14x21x17 ?
|
[
"878",
"879",
"880",
"881",
"882"
] |
No of cubes that can be accommodated in box = (14*21*17)/(7*7*7)
12*16 in numerator can be perfectly divided by 7*7 in denominator.
side with length 17 can't be perfectly divided by 7 and hence is the limiting factor. Closet multiple of 7 less that 17 is 14. so vacant area in cube =
=14*21*(17-14)
=14*21*3
=882
Ans - E
The answer is: E
|
E
|
mathematics
|
A and B entered into a partnership investing Rs.25000 and Rs.30000 respectively. After 4 months C also joined the business with an investment of Rs.35000. What is the share of C in an annual profit of Rs.47000?
|
[
"Rs.18000",
"Rs.15000",
"Rs.17000",
"Rs.14000",
"NONE"
] |
25*12: 30*12: 35*8
15:18:14
14/47 * 47000 = 14000
ANSWER:D
The answer is: D
|
D
|
mathematics
|
The shopkeeper sale, all of the prices of the items sold were different. If the price of a radio sold at the shopkeeper sale was both the 9th highest price and the 14th lowest price among the prices of the items sold, how many items were sold at the shopkeeper sale?
|
[
"23",
"22",
"32",
"26",
"17"
] |
8+13+1= 22
Answer: B
The answer is: B
|
B
|
mathematics
|
A boat goes 100 km downstream in 10 hours, and 80 km upstream in 20 hours. The speed of the stream is?
|
[
"4km/h",
"3km/h",
"2km/h",
"(1/2) km/h",
"E)None"
] |
100 --- 10 DS = 10
? ---- 1
80 ---- 20 US = 4
? ----- 1 S = (10 - 4)/2
= 3 kmph
ANSWER:B
The answer is: B
|
B
|
mathematics
|
Lisa and Robert have taken the same number of photos on their school trip. Lisa has taken 3 times as many photos as Claire and Robert has taken 24 more photos than Claire. How many photos has Claire taken?
|
[
"6",
"8",
"10",
"12",
"14"
] |
L = R
L = 3C
R = C + 24
3C = C + 24
C = 12
The answer is D.
The answer is: D
|
D
|
mathematics
|
Find the distance covered by a man walking for 30min at a speed of 10km/hr?
|
[
"1km",
"3km",
"4km",
"5km",
"6km"
] |
Distance = 10*20/60 = 5km
Answer is D
The answer is: D
|
D
|
mathematics
|
How many liters of water must be added to 20 liters of milk and water containing 10% water to make it 50% water?
|
[
"10",
"12",
"14",
"16",
"18"
] |
By rule of alligation:
50% - 10% = 40%
100% - 50% = 50%
Quantity of pure water : Quantity of the mixture = 4 : 5
There are 20 liters of mixture, so we need to add 16 liters of pure water.
The answer is D.
The answer is: D
|
D
|
mathematics
|
A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning?
|
[
"33",
"44",
"39",
"66",
"none of these"
] |
Let the average after 7th inning = x
Then average after 16th inning = x - 3
inline fn_jvn therefore 16(x-3)+87 = 17x
inline fn_jvn therefore x = 87 - 48 = 39 Answer C
The answer is: C
|
C
|
mathematics
|
In eight years, David will be four times as old as Aaron. Twenty years ago, David was twice as old as Ellen. If David is seven years older than Ellen, how old is Aaron?
|
[
"1–5",
"1.5–5",
"11–15",
"16–20",
"21–25"
] |
Let David's present age be 'd', Aaron's present age be 'a' and Ellen's present age be 'e'
In ten years, David will be four times as old as Aaron --> d+8 = 4(a+8)
Twenty years ago, David was twice as old as Ellen --> d-16 = 2(e-16)
David is seven years older than Ellen --> d = e + 7
e+7-16 = 2e-32
e-9= 2e-32
e = 23
d = 30
38 = 4a + 32
a = 1.5
Answer: B
The answer is: B
|
B
|
mathematics
|
At what rate percent on simple interest will Rs.600 amount to Rs.950 in 5 years?
|
[
"3.33%",
"5.93%",
"4.33%",
"9.33%",
"11.67%"
] |
350 = (600*5*R)/100
R = 11.67%
ANSWER:E
The answer is: E
|
E
|
mathematics
|
A car is running at a speed of 96kmph. What distance will it cover in 14sec?
|
[
"378m",
"350m",
"380m",
"200m",
"250m"
] |
Speed = 96kmph = 96*5/18 = 27 m/s
Distance covered in 14sec = 27*14 = 378m
Answer is A
The answer is: A
|
A
|
mathematics
|
An error 12% in excess is made while measuring the side of a square. Now What is the percentage of error in the calculated area of the square?
|
[
"6.64%",
"16.64%",
"15.64%",
"25.44%",
"10.64%"
] |
Percentage error in calculated area
=(12+12+(12×12)/100)%=25.44%
ANSWER:D
The answer is: D
|
D
|
mathematics
|
Ravi bought 5 pencil and 10 eraser for Rs 4 . Sheetal bought 3 pencil and 9 eraser for Rs 3 then what would be the cost of pencil and eraser.
|
[
".15p, .30p",
".50p,.27p",
".40p,.20p",
".20p,.40p",
".50p,.40p"
] |
Let pencil be x and eraser be y so
5x+10y=4
3x+9y=3
By solving the above two equations we get x=.40p and y=.20p correct ans is C
The answer is: C
|
C
|
mathematics
|
In a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 180 gm mixture, 36 gms of pure milk is added, what would be the percentage of milk in the mixture formed?
|
[
"83.43%",
"83.73%",
"83.23%",
"83.93%",
"83.33%"
] |
Percentage of milk in the mixture formed
= [80/100 (180) + 36] / (180 + 36) * 100% = (144 + 36)/216 * 100%
= 5/6 * 100% = 83.33%.
Answer:E
The answer is: E
|
E
|
mathematics
|
How many positive integers less than 9,000 are there in which the sum of the digits equals 5?
|
[
"56",
"57",
"58",
"59",
"60"
] |
Basically, the question asks how many 4 digit numbers (including those in the form 0XXX, 00XX, and 000X) have digits which add up to 5. Think about the question this way: we know that there is a total of 5 to be spread among the 4 digits, we just have to determine the number of ways it can be spread.
Let X represent a sum of 1, and | represent a seperator between two digits. As a result, we will have 5 X's (digits add up to the 5), and 3 |'s (3 digit seperators).
So, for example:
XX|X|X|X = 2111
||XXX|XX = 0032
etc.
There are 8C3 ways to determine where to place the separators. Hence, the answer is 8C3 = 56.
A
The answer is: A
|
A
|
mathematics
|
Two machines, Y and Z, work at constant rates producing identical items. Machine Y produces 30 items in the same time Machine Z produces 24 items. If machine Y takes 36 minutes to produce a batch of items, how many minutes does it take for machine Z to produce the same number of items?
|
[
"60",
"90",
"9 1/2",
"45",
"13 1/2"
] |
rate z/rate y=24/30
time z/time y=30/24
30/24*36=45 minutes
D
The answer is: D
|
D
|
mathematics
|
Two brothers took the GMAT exam, the higher score is X and the lower one is Y. If the difference between the two scores is 1/3, what is the value of X/Y ?
|
[
"3.",
"2.",
"1/2.",
"4",
"There isn't enough data to answer the question."
] |
Answer is D : 4
X - Y = (X + Y)/2
Solving for X/Y = 4
The answer is: D
|
D
|
mathematics
|
What annual payment will discharge a debt of Rs. 1025 due in 2 years at the rate of 5% compound interest?
|
[
"993.2",
"551.25",
"534.33",
"543.33",
"646.33"
] |
Explanation:
Let each installment be Rs. x. Then,
x/(1 + 5/100) + x/(1 + 5/100)2 = 1025
820x + 1025 * 441
x = 551.25
So, value of each installment = Rs. 551.25
Answer: Option B
The answer is: B
|
B
|
mathematics
|
lets say that the average (arithmetic mean) of seven numbers is 12.2
If the sum of four of these numbers is 42.8, what is the average of the other 3 numbers?
|
[
"(a) 12.4",
"(b) 14.2",
"(c) 16.8",
"(d) 18.6",
"(e) 19.2"
] |
We're told that the average of 7 numbers is 12.2
(Sum of numbers)/7 = 12.2
Sum of numbers = (12.2)(7) = 85.4
Next, we're told that the sum of 4 (of the 7) numbers is 42.8
From this information, we can calculate the sum of the OTHER 3 numbers:
85.4 - 42.8 = 42.6
The question asks for the AVERAGE of the OTHER 3 numbers....
42.6/3 = 14.2
B
The answer is: B
|
B
|
mathematics
|
The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.288. Find the principal?
|
[
"2277",
"2667",
"3600",
"7200",
"1811"
] |
P = 288(100/5)^2 => P = 7200
Answer: D
The answer is: D
|
D
|
mathematics
|
there are 30 students in a classroom. The ratio of the # of girls to boys was 1:2, how many boys are there?
|
[
"10",
"15",
"20",
"25",
"30"
] |
# OF GIRLS = X
# OF BOYS =2X
X + 2X = 30
3X = 30
X = 30/3 = 10
BOYS = 2X = 2 * 10 =20
ANSWER: C
The answer is: C
|
C
|
mathematics
|
How many seconds will a 200 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?
|
[
"11 sec",
"30 sec",
"77 sec",
"14 sec",
"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 = 200 * 3/50
= 12 sec.
Answer: E
The answer is: E
|
E
|
mathematics
|
Raffle tickets numbered consecutively from 101 through 350 are placed in a box. What is the probability that a ticket selected at random will have a number with a hundreds digit of 3?
|
[
"2/5",
"2/7",
"33/83",
"51/250",
"100/249"
] |
SOLUTION
The number of integers from 101 to 350, inclusive is 250, out of which 100 (from 200 to 299) will have a hundreds digit of 2. Thus the probability is 51/250.
Answer: D
The answer is: D
|
D
|
mathematics
|
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 48, the dividend is:
|
[
"5324",
"5334",
"5336",
"5356",
"5808"
] |
Divisor = (5 * 48) = 240
= 10 * Quotient = Divisor
=> Quotient = 240/10 = 24
Dividend = (Divisor * Quotient) + Remainder
Dividend = (240 * 24) + 48 = 5808.
E
The answer is: E
|
E
|
mathematics
|
If |z|/w = 5,which of the following must be true?
|
[
"z = -5w",
"z = 5w",
"z^2 = 25w^2",
"z^2 = 25w^3",
"z^3 = 125w^3"
] |
|z|/w = 5.
|z| = 5w.
Then z = 5w or -5w and so z^2 = 25w^2.
The answer is C.
The answer is: C
|
C
|
mathematics
|
If the total income of a state increases by 50% and the population of the state increases by 20%, What is the percent change in per capita income for the state?
|
[
"A net increase of 40%",
"A net increase of 30%",
"A net increase of 25%",
"A net increase of 20%",
"A net decrease of 20%"
] |
We're told that the total income of a state increases by 50% and the total population increases by 20%
To start:
Total Income = $100
Total Population = 100 people
$100/100 = $1 per person
After the increase:
New Total Income = $150
New Total Population = $120
$150/120 = $5/4 per person
The question asks for the percent increase in per capita income, which means that we need to use the Percentage Change Formula:
Percent Change = (New - Old)/Old
New = 5/4
Old = 1
(5/4 - 1)/1 = (1/4)/1 = 1/4 = 25% increase
C
The answer is: C
|
C
|
mathematics
|
Group A has 6 boys and 3 girls, group B has 2 boys and 2 girls and group C has 4 boys and 2 girls. One student is selected from each of the group. Find the probability that one girl and two boys are among the three selected?
|
[
"3/45",
"1/18",
"29/10",
"7/18",
"7/27"
] |
Group A has 6 boys and 3 girls; 9
Group B has 2 boys and 2 girls; 4
Group C has 4 boys and 2 girls. 6
Selected group should have one girl and two boys.
Girl from A, boy from B, boy from C: 3/9*2/4*4/6 = 1/9;
Boy from A, girl from B, boy from C: 2/4*2/4*4/6 = 1/6;
Boy from A, boy from B, girl from C: 6/9*2/4*2/6 = 1/9.
Sum = 1/9 + 1/6 + 1/9 = 7/18.
Answer: D.
The answer is: D
|
D
|
mathematics
|
The speed of a boat in still water is 15 km/hr and the rate of current is 3 km/hourr. The distance travelled downstream in 24 mins is?
|
[
"6 km",
"7 km",
"7.2 km",
"8 km",
"8.4 km"
] |
speed of a boat in still water = 15 km/hr
Speed of the current = 3 km/hr
Speed downstream = (15+3) = 18 km/hr
Distance travelled downstream in 24 minutes =2460×18=2×185 = 7.2 km
C
The answer is: C
|
C
|
mathematics
|
Seven 6 faced dice are thrown together. The probability that all the three show the same number on them is?
|
[
"1/32",
"1/46656",
"1/33",
"1/38",
"1/34"
] |
The three dice can fall in 6 * 6 * 6 * 6 * 6 * 6 * 6 = 279936 ways.
Hence the probability is 6/279936
= 1/46656
Answer: B
The answer is: B
|
B
|
mathematics
|
The sale price of a trolley bag including the sale tax is Rs. 1190. The rate of sale tax is 12% . If the shopkeeper has made a profit of 25%, the cost price of the trolley bag is:
|
[
"Rs 800",
"Rs 820",
"Rs 860",
"Rs 850",
"None of these"
] |
Explanation :
112% of S.P. = 1190
S.P. = Rs.(1190 x 100/112) = Rs.1062.50.
C.P. = Rs (100/125x 1062.50) = Rs 850
Answer : D
The answer is: D
|
D
|
mathematics
|
Q is the set of the first n positive odd numbers, where n is a positive integer. Given that n > k, where k is also a positive integer, x is the maximum value of the sum of k distinct members of Q, and y is the minimum value of the sum of k distinct members of Q, what is x + y?
|
[
"kn",
"kn + k^2",
"kn + 2k^2",
"2kn – k^2",
"2kn"
] |
Probably the easiest way to solve this question would be to assume some values for n and k.
Say n=3, so Q, the set of the first n positive odd numbers would be: Q={1, 3, 5};
Say k=1, so X, the maximum value of the sum of K distinct members of Q would simply be 5. Similarly, Y, the minimum value of the sum of K distinct members of Q would simply be 1.
X+Y=5+1=6.
Now, substitute n=3 and k=1 in the options provided to see which one yields 6. Only asnwer choice E fits: 2kn=2*3*1=6.
Answer: E.
The answer is: E
|
E
|
mathematics
|
An exam consists of 8 true/false questions. Brian forgets to study, so he must guess blindly on each question. If any score above 90% is a passing grade, what is the probability that Brian passes?
|
[
"1/16",
"37/256",
"1/2",
"219/256",
"15/16"
] |
If you have 8 T or F and Brian is going to guess then each question he has a 50% chance of getting correct.
If a passing score is 70% it means Brian needs to get 6/8=75%, 7/8=87.5%, or 8/8=100% to pass. Each is a possibility. If Brian gets a 5/8(=62.5%) or below he fails.
So first figure out the number of ways that Brian can get 6 out of 8, 7 out of 8, and 8 out of 8 questions correct.
Which is 8 choose 6, equals is 28, 8 choose 7, equals 8, and 8 choose 8, equals 1. This sums to 37.
The number of possible questions outcomes -the sum of 8 choose 8, 7 choose 8, 6 choose 8….2 choose 8, 1 choose 8, and 0 choose 8 is 256, so the chance of him passing is 15/16.
E
The answer is: E
|
E
|
mathematics
|
A merchant marks goods up by 75% and then offers a discount on the marked price. The profit that the merchant makes after offering the discount is 5%. What % discount did the merchant offer?
|
[
"20%",
"25%",
"35%",
"40%",
"45%"
] |
Let P be the original price of the goods and let x be the rate after the markup.
(1.75P)*x = 1.05P
x = 1.05/1.75 = 0.6 which is a discount of 40%.
The answer is D.
The answer is: D
|
D
|
mathematics
|
The ratio between the present ages of A and B is 5:3 respectively. The ratio between A's age 4 years ago and B's age 4 years hence is 1:1. What is the ratio between A's age 4 years hence and B's age 4 years ago?
|
[
"3:4",
"3:0",
"3:1",
"3:2",
"3:7"
] |
Let the present ages of A and B be 5x and 3x years respectively.
Then, (5x - 4)/(3x + 4) = 1/1
2x = 8 => x = 4
Required ratio = (5x + 4):(3x - 4) = 24:8 = 3:1.Answer: C
The answer is: C
|
C
|
mathematics
|
The average of first 20 natural numbers is?
|
[
"5.6",
"10.5",
"10.1",
"5.8",
"5.2"
] |
Sum of 20 natural no.
= 420/2 = 210
Average = 210/20
= 10.5
Answer:B
The answer is: B
|
B
|
mathematics
|
The value of a stock is Y dollars. On Sunday the stock's value grew by half of its value, but on Monday its value dropped to a third of its new value. What is the stock's value at the end of Monday?
|
[
"Y.",
"Y/2.",
"2Y/3.",
"Y/3.",
"Y/4."
] |
Stock value= Y
AT sunday end= y+.5Y= 1.5 Y
On monday the value drop to 1/3rd of its value on sunday
1.5y/3= .5y= Y/2
B is the answer
The answer is: B
|
B
|
mathematics
|
If a function f is defined by f(x)= -1/x for all non zero numbers x. If f(a) = -1/3 and f(ab) = 1/6 then b= ?
|
[
"2",
"1/2",
"-1/2",
"-2",
"-12"
] |
f(a) = -1/3 = -1/a, and thus a = 3
f(ab) = 1/6, and thus ab = -6
3b = -6
b = -2
The answer is D.
The answer is: D
|
D
|
mathematics
|
A man sold 20 articles for $60 and gained 10%. How many articles should he sell for $90 to incur a loss 20%?
|
[
"45",
"36",
"40",
"50",
"48"
] |
Production cost per article: $60*(100%-10%) / 20 = $2.70
Required production costs for a loss of 20%: $90*(100% + 20%) = $108
Number of articles to be sold for $108 to incur a 20% loss: $108 / $2.70 = 40
Thus, solution C is correct.
The answer is: C
|
C
|
mathematics
|
5 identical snow plows can clear an iced parking lot in 4 hours. How long would it take 6 such snow plows to clear the same parking lot?
|
[
"3 hour, 10 minutes",
"2 hours, 30 minutes",
"3 hours",
"7 hours, 30 minutes",
"10 hourss"
] |
6/5 as many plows will take 5/6 as many hours --> 4*5/6=10/3 hours =3 hours, 10 minutes.
Answer: A.
The answer is: A
|
A
|
mathematics
|
A train travels from station A to station B. If it travels at a speed of 100 miles per hour, it ends up reaching the station 15 minutes late. If it travels at 120 miles per hour, it reaches the station 15 minutes early. What is the amount of time that the train is scheduled to take for the journey and what is the distance between the stations?
|
[
"2 hours, 225 miles",
"3 hours, 350 miles",
"4 hours, 450 miles",
"2.75 hours, 325 miles",
"6 hours, 650 miles"
] |
Let t be the usual time and x be the distance between AB. So we need to find t and Distance x. The question gives us 2 combinations of speedtime, but the distance remains the same for both condition.
Equation 1 - x= 100 (t+.25) (converted 30 mins into hr) added .5 hrs because it is late or took more time than usual.
Equation 2 - x= 120 (t-.25) subtracted .25 hrs because it is early or took less time than usual.
Now equating 12 we get 100(t+.25)=120(t-.25)
=> 10t +2.5 = 12t - 3
=> 2t=5.5 => t= 2.75 hrs.
Hence x= 100(2.75+.5) =>100 X 3.25 => 325 miles.
Hence correct answer D
The answer is: D
|
D
|
mathematics
|
An institute organised a fete and 1/5 of the girls and 1/8 of the boys participated in the same. What fraction of the total number of students took part in the fete ?
|
[
"2/13",
"13/40",
"Data inadequate",
"14/50",
"None of these"
] |
Explanation:
Data insufficient to solve the question
Answer is C
The answer is: C
|
C
|
mathematics
|
The unit digit in the product (445 * 534 * 999 * 234) is:
|
[
"2",
"0",
"6",
"5",
"1"
] |
Explanation:
Unit digit in the given product = Unit Digit in (5*4*9*4) = 0
ANSWER: B
The answer is: B
|
B
|
mathematics
|
At a certain restaurant, the ratio of the number of cooks to the number of waiters is 3 to 10. When 12 more waiters are hired, the ratio of the number of cooks to the number of waiters changes to 3 to 14. How many cooks does the restaurant have?
|
[
"4",
"6",
"9",
"12",
"15"
] |
Originally there were 3k cooks and 10k waiters.
14k = 10k+12
k=3
There are 9 cooks.
The answer is C.
The answer is: C
|
C
|
mathematics
|
If a: b = 14: 3, b: c = 11: 9, find a: b: c?
|
[
"104: 23: 37",
"114: 43: 47",
"124: 53: 17",
"144: 13: 57",
"154: 33: 27"
] |
a: b = 14: 3
b: c = 11: 9
a: b: c = 154: 33: 27
ANSWER:E
The answer is: E
|
E
|
mathematics
|
Sujit incurred a loss of 45% on selling an article for Rs.3630/-. What was the cost price of the article?
|
[
"Rs.5725/-",
"Rs.6600/-",
"Rs.6250/-",
"Rs.6750/-",
"None of these"
] |
Explanation:
45% loss means SP of Rs.3630/- is 55% of CP
:. CP = 3630x100/55 = Rs.6600/-
Answer: Option B
The answer is: B
|
B
|
mathematics
|
A certain NYC taxi driver has decided to start charging a rate of 10 cents per person per mile. How much, in dollars, would it cost 3 people to travel x miles if he decides to give them a 50% discount?
|
[
"15x/100",
"3x/100",
"3/200",
"3x/300",
"x/200"
] |
1 person for x miles = 10 x cents
3 person for x miles = 3x10 x = 30x cents
After discount 50% = 30x/2 = 15x cents
In dollars = 15x/100
Answer : A
The answer is: A
|
A
|
mathematics
|
If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 5:6then find the smallest number?
|
[
"22/3",
"19/3",
"20/3",
"25/3",
"24/3"
] |
2:3
2x + 10 : 3x + 10 = 5 : 6
6[2x + 10] = 5[3x + 10]
12x + 60 = 15x + 50
15x -12x = 60 - 50
3x = 10, then X=10/3
Then the first number is = 2
2x = 10
Option C
The answer is: C
|
C
|
mathematics
|
You have been given a physical balance and 7 weights of 40, 42, 36, 33, 47, 52 and 67 kgs. Keeping weights on one pan and object on the other, what is the maximum you can weigh less than 169 kgs.
|
[
"163",
"166",
"162",
"164",
"165"
] |
67 + 52 + 47 = 166
Answer: E
The answer is: E
|
E
|
mathematics
|
A, B, and C were to be paid in proportion to the part of work they did while working on the same piece of work. A and B individually can finish the piece of work in 12 days and 15 days respectively. They worked together for five days and then C completed the remaining work all alone. If $1350 was the net sum to be paid for the entire work, what was the average daily wage of B?
|
[
"$144",
"$90",
"$60",
"$54",
"$48"
] |
The correct answer is B.
The answer is: B
|
B
|
mathematics
|
Matt gets a $1,000 commission on a big sale. This commission alone raises his average commission by $150. If Matt's new average commission is $250, how many sales has Matt made?
|
[
"3",
"4",
"5",
"6",
"7"
] |
Let, Average Commission = x
No. of items sold = y
Total Commission = xy
New Commission = xy+1000
New Average = (xy+1000) / (y+1) = 150+x
i.e. (xy+1000) = (y+1)* (150+x)
i.e. (xy+1000) = (xy+x+150y+150)
i.e. (850) = (x+150y)
New Commission = 250 = 150+x
i.e. x=100
i.e. y = 5
New Sales = y+1 = 6
Answer: option D
The answer is: D
|
D
|
mathematics
|
A company plans to assign identification numbers to its employees. Each number is to consist of four different digits from 0 to 9, inclusive, except that the first digit cannot be 0. How many different identification numbers are possible?
|
[
"3,024",
"4,536",
"5,040",
"9,000",
"10,000"
] |
No. of ways select first digit (other than 0) * No of wasy select second digit (exclude first digit selected) * no of ways select 3rd digit (exclude first 2) * no of ways to select 4 th digit (excllude first 3 digits)
= 9*9*8*6= 4536
ANSWER:B
The answer is: B
|
B
|
mathematics
|
A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?
|
[
"3",
"4",
"5",
"6",
"7"
] |
M = 4
S = 2
US = 4 - 2 = 2
D = 6
T = 6/2 = 3 Answer:A
The answer is: A
|
A
|
mathematics
|
At a certain automobile dealership that sells only Tajima's and Franks, the number of non hybrid Tajima's is 35 less than 3 times the number of hybrid Tajima's. 205 total Tajima's are currently owned by the dealership. If the ratio of hybrid Tajima's to non hybrid Franks is 5:4 and there are 280 total automobiles owned by the dealership, how many hybrid Franks are there?
|
[
"20",
"27",
"48",
"60",
"87"
] |
First, I only focus on Tajima's. Let x be hybrid Tajima's and y be non hybrid Tajima's. We know that x + y = 205 and we know that y=3x-35, Therefore we can conclude that x= 60 and y= 145
Next, let a be the number of non hybrid franks, we know the ratio, 60/a = 5/4, therefore a=48
Total number of franks is 75, so 75 - 48 = 27
Took me 47 sec
ANSWER:C
The answer is: C
|
C
|
mathematics
|
A candidate who gets 30% of the marks fails by 50 marks. But another candidate who gets 45% marks gets 25 marks more than necessary for passing. Find the number of marks for passing?
|
[
"276 Marks",
"200 Marks",
"186 Marks",
"187 Marks",
"167 Marks"
] |
30% ------------ 50
45% ------------ 25
----------------------
15% ------------- 75
30% -------------- ?
150 + 50 = 200 Marks
Answer: B
The answer is: B
|
B
|
mathematics
|
In a ratio which is equal to 3:4, if the antecedent is 12, then the consequent is?
|
[
"12",
"16",
"20",
"22",
"25"
] |
We have 3/4 = 12/x
3x = 48
x = 16
consequent = 16
Answer is B
The answer is: B
|
B
|
mathematics
|
You are gifted a coin that is dated 378 B.C. How much worth the coin is as per your assumption?
|
[
"1",
"0",
"2",
"5",
"6"
] |
Solution:
The worth of that coin is zero. This is because the B.C. and A.D. dating system was not empowered till the year 525. So the coin is probably fake.
Answer B
The answer is: B
|
B
|
mathematics
|
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
|
[
"200",
"230",
"240",
"270",
"260"
] |
Speed = 72 * 5/18 = 20 m/sec.
Time = 26 sec.
Let the length of the train be x meters.
Then, (x + 250)/26 = 20
x = 270 m.
Answer: Option D
The answer is: D
|
D
|
mathematics
|
A and B can do a work in 2 days, B and C in 6 days and C and A in 8 days. In how many days will the work be completed, if all three of them work together?
|
[
"12/28",
"48/19",
"16/48",
"18/48",
"12/64"
] |
One day work of A and B = 1/2
One day work of B and C = 1/6
One day work of C and A = 1/8
2(A + B + C) = 1/2 + 1/6 + 1/8
2(A + B + C) = 19/24
(A + B + C) = 19/48
Number of days required = 48/19 days.
Answer: B
The answer is: B
|
B
|
mathematics
|
What number fits best in the missing place?
_ 4 5 3 5
9 5 7 10 3
|
[
"3",
"8",
"4",
"5",
"6"
] |
C
4
5 = Five (four letters) => 4
7 = Seven (five letters) => 5
10 = Ten (three letters) => 3
3 = Three (five letters) => 5
Therefore, 9 = Nine (four letters) => 4.
Therefore the missing number is 4.
The answer is: C
|
C
|
mathematics
|
If the consumer price index for a sample of goods and services purchased in Dallas rose from 100 at the end of 1967 to x at the end of 1985, what was the average T(arithmetic mean) annual increase in the index over this period?
|
[
"(x + 100)/18",
"x/18",
"(100 − x)/18",
"(x − 100)/18",
"100x/18"
] |
CPI in end of 1967 = 100
CPI in end of 1985 = x
Number of years = 18
Average annual increase in CPI T= (x-100)/18
Answer D
The answer is: D
|
D
|
mathematics
|
At present, the ratio between the ages of Arun and Deepak is 4 : 3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present ?
|
[
"12 years",
"15 years",
"17 years",
"19 years",
"21 years"
] |
Let the present ages of Arun and Deepak be 4x years and 3x years respectively.
4x + 6 = 26 4x = 20
x = 5.
Deepak's age = 3x = 15 years.
Answer: B
The answer is: B
|
B
|
mathematics
|
A bag contains equal number of Rs.5, Rs.2 and Re.1 coins. If the total amount in the bag is Rs.1152, find the number of coins of each kind?
|
[
"432",
"288",
"144",
"72",
"152"
] |
Let the number of coins of each kind be x.
=> 5x + 2x + 1x = 1152
=> 8x = 1152 => x = 144
ANSWER:C
The answer is: C
|
C
|
mathematics
|
John has purchased an item on sale for $25.00. A few days later John sees the price is now $32.00. By what percentage of the price John paid has the price risen?
|
[
"5",
"7",
"15",
"20",
"28"
] |
C.P.=25.00
N.P.=32.00
markup%=(N.P.-C.P.)/C.P.*100=(32-25)/25*100=28%
ANSWER:E
The answer is: E
|
E
|
mathematics
|
The consumption of diesel per hour of a bus varies directly as square of its speed. When the bus is travelling at 60 kmph its consumption is 1 litre per hour. if each litre costs $60 and other expenses per hous is $ 60, then what would be the minimum expenditure required to cover a distance of 600 Km?
|
[
"120",
"1250",
"1200",
"1100",
"1150"
] |
60 kmph consumption is 1 lt/hr
so 600 km will take 10 hrs and the consumption is 10 lt for entire distance.
1 lt costs $60
so 10 lt costs $600
extra expenses for 1 hr - $60
10 hrs - $600
total expense - $600 + $600 = $1200
Answer : C
The answer is: C
|
C
|
mathematics
|
Kail purchased n items from a catalog for $10 each. Postage and handling charges consisted of $4 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 ?
|
[
"11n + 2",
"11n + 4",
"11n + 3",
"9n + 3",
"9n + 4"
] |
its C
n items for $10 each
total price $10n
postage and handling of $4 for 1st item and $1 for the rest
total postage and handling = $ [4+ (n-1)]
= $ n+3
total cost
10n+n+3 = 11n+3
The answer is: C
|
C
|
mathematics
|
What least number must be substracted from 427398 so that the remaining number is divisible by 15?
|
[
"1",
"3",
"11",
"16",
"17"
] |
Solution
On dividing 427398 by 15, we get remainder = 3.
Required number be substracted
Answer B
The answer is: B
|
B
|
mathematics
|
A, B and C run around a circular track starting from the same point simultaneously and in the same direction at speeds of 4 kmph, 6 kmph and 8 kmph respectively. If the length of the track is 400 meters, when will A, B and C meet at the starting point for the first time after they started the race?
|
[
"1 minute",
"5 minutes",
"12 minutes",
"20 minutes",
"24 minutes"
] |
4 kmph, 6 kmph and 8 kmph is equal to 4000/60 mtrs/min, 6000/60 mtrs/min and 8000/60 mtrs/min or 200/3, 100, 400/3 mtrs/min respectively.
Seeing this we can infer that the answer should be at least divisible by 3. (minutes in options are integers. So if the answer is not divisible by 3, we will have 200/3*answer = distance traveled by A in fractions whereas 100*answer = distance traveled by A as integer)
So, A,B and D are out.
At 12 min A,B and C will travel 800, 1200 and 1600 mtrs respectively. Length of the circle is given as 400 mtrs.
As 800, 1200 and 1600 are divisible by 400, we can say that A,B and C will be at starting point after 12 min.
Hence, C will be the answer.
The answer is: C
|
C
|
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