subject stringclasses 1
value | question stringlengths 3 1.14k | options listlengths 5 5 | solution stringlengths 18 3.7k | answer stringclasses 5
values |
|---|---|---|---|---|
mathematics | In an examination 35% of the students passed and 481 failed. How many students appeared for the examination? | [
"A)540",
"B)400",
"C)700",
"D)740",
"E)840"
] | Let the number of students appeared be x
then, 65% of x = 481
65x/100 = 481
x = 481*100/65 = 740
Answer is D
The answer is: D | D |
mathematics | Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 55% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class? | [
"60%",
"50%",
"25%",
"20%",
"10%"
] | {Total} = {finance} + {marketing} - {both} + {neither}
100 = 25 + 55 - {both} + 40
{both} = 20%.
Answer: D.
The answer is: D | D |
mathematics | A building contractor employs 20 male, 15 female and 5 child workers. To a male worker he pays Rs.25 per day, to a female worker Rs.20 per day and a child worker Rs.8 per day. The average wage per day paid by the contractor is? | [
"22",
"21",
"77",
"88",
"66"
] | 20 15 5
25 20 8
500 + 300 + 40 = 840/40 = 21
Answer: B
The answer is: B | B |
mathematics | one men and three women working 7 hours a day finish a work in 5 days. Four men and four women working 3 hours a day complete the work in 7 days. The number of days in which only 7 men working 4 hours a day will finish the work is? | [
"4 days",
"5 days",
"6 days",
"7 days",
"8 days"
] | 1M + 3W ----- 35 h
4M + 4W ------- 21 h
7M -------? d
35M + 105W = 84M +84M
21W = 49M
4 * 35 = 7 * x => x = 20 hours
20/4 = 5 days
ANSWER:B
The answer is: B | B |
mathematics | A hiker walked for 3 days. She walked 25 miles on the first day, walking 5 miles per hour. On the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. On the third day she walked the same number of hours as on the first day, but at the same speed as on the second day. ... | [
"24",
"79",
"58",
"60",
"62"
] | She walked 25 miles on the first day, walking 5 miles per hour i.e. total time of walk on Day-1 = 25/5 = 5 Hours
Second day time of walk = 5-1 = 4 hours and Speed = 5+1=6 miles per hour i.e. Distance walked on second day = 4*6 = 24 miles
Third day time of walk = 5 hours and Speed = 6 miles per hour i.e. Distance walked... | B |
mathematics | A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform? | [
"227",
"266",
"230",
"288",
"271"
] | Speed = [300 / 18] m/sec = 50/3 m/sec.
Let the length of the platform be x meters.
Then, x + 300 / 39 = 50/3
3(x + 300) = 1950 è x = 350m.
Answer: C
The answer is: C | C |
mathematics | In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by: | [
"21",
"22",
"28",
"25",
"30"
] | A:B = 100:75
B:C=100:96
A:C = 100/72 = 100:72
A beats(100-72) = 28 m
ANSWER C
The answer is: C | C |
mathematics | Excluding stoppages, the speed of a train is 55 kmph and including stoppages it is 30 kmph. Of how many minutes does the train stop per hour? | [
"82",
"27",
"12",
"82",
"18"
] | Explanation:
T = 25/55 * 60 = 27
Answer: Option B
The answer is: B | B |
mathematics | A straight line in the xy- plane has a slope of 4 and a y-intercept of 4. On this line, what is the x-coordinate of the point whose y-coordinate is 800 ? | [
"233",
"299",
"333",
"199",
"339"
] | Eq of line = Y = MX +C
M = 4,
C= 4
Y=4X + 4,
Substitute Y by 800 as given in question.
800=4X+4 , X = 199.
correct option is D
The answer is: D | D |
mathematics | A school has 30% students from Maharashtra .Out of these 20% are Bombey students. Find the total percentage of Bombay? | [
"3%",
"4%",
"5%",
"6%",
"7%"
] | If total no of students is 100.
No of students from Maharashtra = 30
No of students from Bombay = 30*20/100 = 6
so 6% students are from Bombay
ANSWER:D
The answer is: D | D |
mathematics | A train running at the speed of 60 km/hr crosses a pole in 15 seconds. Find the length of the train? | [
"150 meter",
"170 meter",
"250 meter",
"168 meter",
"154 meter"
] | Speed = 60*(5/18) m/sec
= 50/3 m/sec
Length of Train (Distance)
= Speed * Time
(50/3) * 15
= 250 meter
Answer:C
The answer is: C | C |
mathematics | Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.60 at the candy store. What is John’s weekly allowance? | [
"$2.25",
"$3.00",
"$3.25",
"$3.65",
"$4.80"
] | x = 3x/5 + 1/3*2x/5 + 60
4x/15 = 60
x = 225 = $2.25
The answer is A.
The answer is: A | A |
mathematics | Simplify: 18800+470+20 | [
"4",
"1",
"5",
"2",
"3"
] | 18800+470+20=(18800/470)+20=40/20=2.
Answer is D.
The answer is: D | D |
mathematics | Murali travelled from city A to city B at a speed of 40 kmph and from city B to city C at 60 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 3? | [
"70 kmph",
"50 kmph",
"57 kmph",
"54 kmph",
"70 kmph"
] | Let the distances between city A to B and B to C be 2x km and 3x km respectively.
Total time taken to cover from A to C
= (2x)/40 + (3x)/60
= (6x + 6x)/120 = 12x/120
= x/10 Average speed
= (2x + 3x)/(x/10) = 50 kmph.
Answer: B
The answer is: B | B |
mathematics | A wheel rotates 20 times every minute and moves 15 cm during each rotation. How many metres does the wheel move in one hour? | [
"6 metre",
"18 metre",
"180 metre",
"1200 metre",
"130 metre"
] | Number of times wheel moves in 1 hour = 12 * 60 = 1200
:. Distance moves = (1200*15) cms = 18000 cms
In metres = 180 metre
ANSWER:C
The answer is: C | C |
mathematics | Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is? | [
"12.9 sec",
"29.0 sec",
"28.9 sec",
"10.8 sec",
"12.3 sec"
] | Relative speed = 60 + 40 = 100 km/hr.
= 100 * 5/18 = 250/9 m/sec.
Distance covered in crossing each other = 140 + 160 = 300 m.
Required time = 300 * 9/250 = 54/5 = 10.8 sec.
Answer:D
The answer is: D | D |
mathematics | If a(a - 6) = 27 and b(b - 6) = 27, where a ≠ b, then a + b =? | [
"−48",
"−2",
"46",
"6",
"48"
] | i.e. if a =-3 then b = 9
or if a = 9 then b =-3
But in each case a+b = -3+9 = 6
Answer: option D
The answer is: D | D |
mathematics | The average marks of 25 students in a class is 100. But a student mark is wrongly noted as 60 instead of 10 then find the correct average marks? | [
"A)78",
"B)82",
"C)98",
"D)91",
"E)85"
] | correct avg marks = 100+(10-60)/25
avg = 100-2 = 98
Answer is C
The answer is: C | C |
mathematics | If f(x)=4x−1 and g(x)=2x+6 for all integers, which of the following is a possible value of g(f(x))? | [
"-23",
"-17",
"0",
"8",
"20"
] | g(f(x)) = 2*f(x)+6 = 2*(4x-1)+6 = 8x+4
Of these five options, only 20 has the form 8x+4.
The answer is E.
The answer is: E | E |
mathematics | What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for two years? | [
"29893",
"27773",
"29989",
"28800",
"23400"
] | Simple interest = (18000 * 2 * 15)/100 = Rs. 5400
Amount = P + I = 18000 + 5400 = Rs. 23400
Answer: E
The answer is: E | E |
mathematics | A corporation paid $8 million in federal taxes on its first $50 million of gross profits and then $30 million in federal taxes on the next $150 million in gross profits. By approximately what percent did the ratio of federal taxes to gross profits increase from the first $50 million in profits to the next $150 million ... | [
"6%",
"14%",
"20%",
"23%",
"86%"
] | Difference in Ratios = (30/150) - (8/50) = (6/50)
% Change = (Change (6/50) / Original ratio (7/50)) *100 = 86%
Answer - E
The answer is: E | E |
mathematics | A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 1.8 kilometer long bridge, at the same speed? | [
"4 min",
"2 min",
"8 min",
"9 min",
"3 min"
] | S = 600/40 = 15 mps
S = 1800/15 = 120 sec = 2 min.Answer: B
The answer is: B | B |
mathematics | 3x^2-6x+3 = 0 Find the above equation find the value of x | [
"0",
"1",
"2",
"4",
"6"
] | a = 3, b = -6, c = 3
x1,2 = (6 ± √( (-6)2 - 4×3×3)) / (2×3) = (6 ± √(36-36)) / 6 = (6 ± 0) / 6
x1 = x2 = 1
B
The answer is: B | B |
mathematics | A woman takes 5hr 45min in walking to certain place and riding back. She would have gained 2hrs by riding both ways. The time she would take to walk both ways is? | [
"6 hr 45 min",
"3 hr 45 min",
"8 hr 55 min",
"7 hr 45 min",
"4 hr 60 min"
] | D
7 hr 45 min
Let x be the speed of walked
Let y be the speed of ride
Let D be the distance
Then D/x + D/y = 23/4 hr -------------------(1)
D/y + D/y = 23/4 – 2 hr
D/y = 15/8 ----------------------------------(2)
substitute 2 in 1
D/x + 15/8 = 23/4
D/x = 23/4 -15/8 =46-15/8 =31/8
Time taken for walk one way is 31/8 hr
... | D |
mathematics | A company issued 20000 shares of par value Rs. 10 each. If the total divided declared by the company is Rs.24000, find the rate of dividend paid by the company. | [
"10",
"11",
"12",
"13",
"15"
] | Number of shares = 20000
Face value of each share = Rs.10
divided per share = 10×R/100 where R is the rate of interest
Total divided = 20000×10×R/100
20000×10×R/100=24000
⇒R=24000/2000=12
ie, divided = 12%
Answer is C.
The answer is: C | C |
mathematics | In a hostel, the number of students decreased by 12% and the price of food increased by 20% over the previous year. If each student consumes the same amount of food then By how much should the consumption of food be cut short by every student, so that the total cost of the food remains the same as that of the previous ... | [
"19%",
"15%",
"25%",
"40%",
"5.3%"
] | Cost of food (C) = Food consumed per student (F) * Number of students (N) * Price of food (P)
Originally,
C = FNP
When number of students decrease by 12%, and the price of food increases by 20%,
C = F(new) * (0.88N) * (1.2P)
=> F(new) = F/(0.88*1.2)
=> F(new) = 0.9469F
Therefore the new cost of food must be 94.69% of t... | E |
mathematics | if integer N has p factors ; how many factors will 5N have ? | [
"p",
"2p",
"P+1",
"2p+1",
"Cannot be determined"
] | Case 1:
Let N = 6 => 2 x 3 (prime factorization) => p = 4;
5N =30 => no. of factors = 8; (p+2)
Case 2:
Let N = 7 => p = 2;
5N = 35 => no of factors = 4; (p+2)
For different N different results are observed. So, shouldn't E be the right answer?
The answer is: E | E |
mathematics | A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A ? | [
"240",
"388",
"208",
"112",
"102"
] | The ratio of A & B investments = (3x8 + 2x4):(4x8 + 5x4)
=> 8:13
=> 8/21 x 630 = 240.
Answer: A
The answer is: A | A |
mathematics | In a panel of 10 light bulbs, the odds of any light bulb to burn out are 0.02 at any given 10 minutes. Should a light bulb burn out, the whole panel would instantly turn off. What are the odds that the panel would be turned off within the first 10 minutes after it was switched on? | [
"1-0.02^10",
"1-0.98^10",
"(1-0.98)^10",
"0.06",
"1-10*0.06"
] | ans B.
Prob that light will not turned off = 0.98^10. Hence prob (turn off) = 1 - prob (not turn off).
The answer is: B | B |
mathematics | In a particular year, the month of january had exactly 4 thursdays, and 4 sundays. On which day of the week did january 1st occur in the year. | [
"33",
"Monday",
"299",
"299",
"277"
] | Ans: If a month has 31 days, and it starts with sunday, Then Sundays, Mondays, tuesdays are 5 for that month. If this month starts with monday, then mondays, tuesdays, and wednesdays are 5 and remaining days are 4 each. so this month start with Monday.
Answer:B
The answer is: B | B |
mathematics | A metallic hemisphere is melted and recat in the shape of a cone with the same base radius (R) as that of the hemisphere. If H is the height of the cone, then : | [
"H = 2R",
"H = 4R",
"H = √4R",
"H = 2/3 R",
"None"
] | Sol.
2/3 ∏R³ = 1/3 ∏R²H ⇒ H = 2R.
Answer A
The answer is: A | A |
mathematics | The diagonals of a rhombus are 12 cm and 20 cm. Find its area? | [
"176",
"186",
"120",
"179",
"172"
] | 1/2 * 12 * 20
= 120
Answer:C
The answer is: C | C |
mathematics | A certain clock marks every hour by striking a number of times equal to the hour,and the time required for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between the beginning of the first stroke and the end of the last stroke is 11 seconds. at 12:00 ,how many seconds elapse betw... | [
"A.72",
"B.50",
"C.48",
"D.46",
"E.23"
] | At 6:00 it'll chime 6 times. If we assume that the time taken to chime is x, then time between chimes is also x. So you have 6 chimes, which is 6x and 5 time intervals between chimes. This means that 11x = 11 seconds. Thus x = 1 seconds.
By a similar logic, at 12:00, there are 12 chimes and 11 intervals so the total ti... | E |
mathematics | City A to city B, Andrew drove for 1 hour at 50 mph and for 3 hours at 60 mph. What was the average speed for the whole trip? | [
"57",
"57.5",
"58.2",
"59",
"62"
] | The total distance is 1×50+3×60=2301×50+3×60=230. And the total time is 4 hours. Hence,
Average Speed=(Total DistanceTotal Time)=2304=57.5
B
The answer is: B | B |
mathematics | David and Rachel are getting married. The extended family wants to have its picture taken, but David's father is unwilling to stand next to Rachel's mother. How many options does the photographer have to arrange the 13 family members in a row for the picture? | [
"14!",
"12×11!",
"11×12!",
"13!/2!",
"13!"
] | The number of ways to arrange 13 people is 13!
We need to subtract the arrangement when these two people are together.
Let's think of these two people as a single unit so there are 12 units.
The number of ways to arrange 12 units is 12!
We need to multiply this by 2 since these two people could switch places.
The total... | C |
mathematics | One used-car salesperson receives a commission of $ 200 plus 4 percent of $ 1,000 less than the car’s final sale price. Another car salesperson earns a straight commission of 4 percent of the car’s final sale price. What is the final sale price of a car if both salespeople would earn the same commission for selling it? | [
"$ 5,000",
"$ 6,000",
"$ 8,000",
"$ 10,000",
"$ 12,000"
] | This question can be solved by TESTing THE ANSWERS.
We're given the pay rate of two different salespeople who sell cars:
1) A commission of $ 200 plus 4 percent of $ 1,000 less than the car’s final sale price.
2) A straight commission of 6 percent of the car’s final sale price.
We're asked for the final sale price of a... | A |
mathematics | Annie and Sam set out together on bicycles traveling at 15 and 12 km per hour respectively. After 40 minutes, Annie stops to fix a flat tire. If it takes Annie 35 minutes to fix the flat tire and Sam continues to ride during this time, how many minutes will it take Annie to catch up with Sam assuming that Annie resumes... | [
"20",
"40",
"60",
"80",
"100"
] | Annie gains 3 km per hour (or 1 km every 20 minutes) on Sam.
After 40 minutes Annie is 2 km ahead.
Sam rides 1 km every 5 minutes.
In the next 35 minutes, Sam rides 7 km so Sam will be 5 km ahead.
It will take Annie 100 minutes to catch Sam.
The answer is E.
The answer is: E | E |
mathematics | A batsman makes a score of 64 runs in the 16th innings and thus increased his average by 3. Find his average after the 16th inning? | [
"22",
"299",
"277",
"19",
"77"
] | Let the average after the 16th inning be P.
So, the average after the 15th inning will be (P-3) Hence, 15(P-30) + 64 = 16P => P = 19.Answer:D
The answer is: D | D |
mathematics | Two sets A and B consists only of positive integers such that mean of set A is 70 . If set R consist of all the elements of both A and B such that mean of R is 80 then the mean of set B is => | [
"[A] 65",
"[B] 60",
"[C] 70",
"[D] 55",
"[E] cannot be determined"
] | For this question, we have zero information about the size of two sets, sets AB. These two sets may have the same size or may be wildly different. Thus, the answer is (E), the mathematical answer cannot be determined. This is a very weak math question. As someone who writes GMAT practice questions, I would give this a ... | E |
mathematics | If a tap could fill entire tank in 20 hrs due to leakage, then in how much time
tank can be emptied by leakage if tap can fill entire tank in 12 hrs without leakage | [
"30hrs",
"24hrs",
"36hrs",
"48hrs",
"52hrs"
] | time take to fill[withleakage] =20hrs so workdone in 1hr=1/20
time tkae to fill[without leakage]=12hrs so workdone in 1hr=1/12
if u subtract both u'll get time taken by leakage to empty...
1/20-1/12=2/60 = 1/30 so 30hrs
ANSWER:A
The answer is: A | A |
mathematics | Adam's mother is 26 years older than him. Next year, however, she will be 3 times older than her son. How old is Adam's mother? | [
"35 years",
"36 years",
"37 years",
"38 years",
"39 years"
] | At the present
Adam is x years old.
Adam's mother is y=x+26 years old.
Next year
Adam will be x+1 years old.
Adams mother will be y+1=3 (x+1) years old.
If we combine the two equations,
y=x+26, and
y+1=3 (x+1), then
x+26+1=3x+3
2x=27-3
2x=24
x=12
This is Adam's age at the moment. Since his mother is 26 years older than... | D |
mathematics | The H.C.F. of two numbers is 12 and their L.C.M. is 600. If one of the number is 20, find the other? | [
"100",
"360",
"120",
"200",
"150"
] | Other number = 12*600/20= 360
Answer is B
The answer is: B | B |
mathematics | How much is 60% of 40 is greater than 4/5 of 25? | [
"4",
"6",
"10",
"8",
"13"
] | 60/100) * 40 – (4/5) * 25
24 - 20 = 4
Answer: A
The answer is: A | A |
mathematics | Rahul went to a shop and bought things worth Rs. 27, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items? | [
"Rs 15",
"Rs 12.10",
"Rs 21.70",
"Rs 16.80",
"None of these"
] | Explanation :
Let the cost of the tax items = x
Given that tax rate = 6%
Cost of tax items, x*(6/100) = 30/100
x = 5 rs
Now non taxable item = total cost - cost for taxable item - tax
= 27 - 5 - 0.30
=21.70
Answer : C
The answer is: C | C |
mathematics | Find the median and mean of the following test scores:
75, 40, 100, 50, 45, 60, 50, 70, 45, 95
Which score falls in between the two scores? | [
"40",
"50",
"60",
"70",
"75"
] | List in order: 40,45,45,50,50,60,70,75,95,100
The median = (the average of two middle terms) = (50 + 60)/2 = 55.
The mean = (the sum)/(# of terms) = 630/10 = 63.
The Test Score between 55 and 63 is 60.
Answer: C.
The answer is: C | C |
mathematics | 75 percent of Andrea's living room floor is covered by a carpet that is 4 feet by 9 feet. What is the area of her living room floor? | [
"48",
"180/7",
"50.4",
"60",
"90"
] | 75% of Area of the floor = 4*9 square feet = 36 square feet
i.e. 100% Area of Floor = (36/75)*100 = 48 square feet
Answer: Option A
The answer is: A | A |
mathematics | A train leaves Delhi at 9 a.m. at a speed of 35 kmph. Another train leaves at 2 p.m. at a speed of 40 kmph on the same day and in the same direction. How far from Delhi, will the two trains meet? | [
"229",
"288",
"600",
"888",
"1400"
] | D = 35 * 5 = 175
RS = 40 – 35 = 5
T = 175/5 = 35
D = 40 * 35 = 1400 km
Answer: E
The answer is: E | E |
mathematics | By travelling at 40 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time? | [
"20 kmph",
"24 kmph",
"22 kmph",
"28 kmph",
"29 kmph"
] | A
20 kmph
Let the time taken to reach the destination be 3x hours. Total distance = 40 * 3x = 120x km
He covered 2/3 * 120x = 80x km in 1/3 * 3x = x hours So, the remaining 40x km, he has to cover in 2x hours. Required speed = 40x/2x = 20 kmph.
The answer is: A | A |
mathematics | Find the odd man out. 5,7,9,12,13 | [
"52",
"12",
"11",
"14",
"10"
] | Explanation :
5+2=7
7+2=9
9+2=11
11+2=13
Hence, it is clear that 11 should have come instead of 12
Answer : Option C
The answer is: C | C |
mathematics | In how many years will a sum of money doubles itself at 5% per annum on simple interest? | [
"80%",
"20%",
"28%",
"90%",
"30%"
] | P = (P*5*R)/100
R = 20%
Answer: B
The answer is: B | B |
mathematics | A tap can fill a tank in 6 hours. After half the tank is filled then 3 more similar taps are opened. What will be total time taken to fill the tank completely. | [
"2 hours 30 mins",
"2 hours 45 mins",
"3 hours 30 mins",
"3 hours 45 mins",
"None of these"
] | Explanation:
Half tank will be filled in 3 hours
Lets calculate remaining half,
Part filled by the four taps in 1 hour = 4*(1/6) = 2/3
Remaining part after 1/2 filled = 1-1/2 = 1/2
2/3:1/2::1:X
=>X=(1/2∗1∗32)
=>X=3/4hrs=45 mins
Total time = 3 hours + 45 mins = 3 hours 45 mins
Option D
The answer is: D | D |
mathematics | Find the simple interest on Rs. 3000 at 6 1/4% per annum for the period from
4th Feb., 2005 to 18th April, 2005. | [
"Rs.36.50",
"Rs.37.50",
"Rs.35.50",
"Rs.32.50",
"Rs.33.50"
] | Time = (24+31+18)days = 73 days = 73/365 years = 1/5 years.
P = Rs.3000 and R = 6 ¼ %p.a = 25/4%p.a
S.I. = Rs.(3,000*(25/4)*(1/5)*(1/100))= Rs.37.50.
Remark : The day on which money is deposited is not counted while the day on which money is withdrawn is counted
Answer is B.
The answer is: B | B |
mathematics | In a theatre all rows have same no. Of . One family buys 10 tickets of first two row. 3 members want to sit in first row and 2 in second row. In how many ways they can be seated. | [
"5400",
"5500",
"5600",
"5700",
"5800"
] | 10c3x10c2= 5400
ANSWER:A
The answer is: A | A |
mathematics | A family consists of grandparents, parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family? | [
"31 5/8 years",
"31 5/7 years",
"31 9/7 years",
"38 5/7 years",
"31 5/4 years"
] | Required Average = [(67 * 2) + (35 * 2 ) + (6 * 3)]/(2 + 2 + 3)
= (134 + 70 + 18)/7
= 31 5/7 years.
Answer:B
The answer is: B | B |
mathematics | The average age of 40 passengers in a ferry is 35. What is the average age of the new group formed when combining the passengers with the 5 crew members of ferry whose average age is 25? | [
"36.45",
"38.89",
"39.67",
"40.12",
"41.88"
] | Sum of ages of passengers= 40x35= 1400
Sum of ages of crew= 25x5= 125
Sum of ages of new group formed= 1525
Average=1525/45=38.89
Answer: B
The answer is: B | B |
mathematics | A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68 percent of the distribution lies within one standard deviation d of the mean, what percent W of the distribution is less than m +d ? | [
"16%",
"32%",
"48%",
"84%",
"92%"
] | D
The prompt says that 68% of the population lies between m-d and m+d.
Thus, 32% of the population is less than m-d or greater than m+d.
Since the population is symmetric, half of this 32% is less than m-d and half is greater than m+d.
Thus, W=(68+16)% or (100-16)% of the population is less than m+d.
The answer is: D | D |
mathematics | A, B and C rents a pasture for Rs.841. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay? | [
"270",
"279",
"276",
"261",
"262"
] | 12*8 :16*9 = 18*6
8: 12: 9
9/29 * 841 = 261
Answer: D
The answer is: D | D |
mathematics | what is the Max number of rectangular boxes, each measuring 5 inches by 2 inches by 7 inches, that can be packed into a rectangular packing box measuring 15 inches by 20 inches by 35 inches, if all boxes are aligned in the same direction? | [
"200",
"350",
"100",
"150",
"120"
] | The 5 inch side should be aligned to the 15 inch side ( 3 layer)
2 inch side should be aligned to the 20 inch side. (10 layer)
7 inch side should be aligned to the 35 inch side.(5 layer)
Maximum number of rectangles =3*10*5=150
Answer is D
The answer is: D | D |
mathematics | A dealer sold two of his cattle for Rs. 500 each. On one of them he lost 10% on the other, he gained 10%. His gain or loss percent in the entire transaction was: | [
"10% loss",
"1% loss",
"1% gain",
"Neither loss nor profit",
"2% gain"
] | Explanation:
Loss%= (common gain or loss % / 10)2 = (10/10)² % = 1%. Answer: C
The answer is: C | C |
mathematics | In how many years does a sum of Rs. 3000 yield a simple interest of Rs. 12500 at 15% p.a.? | [
"27.7 years",
"26.7 years",
"25.7 years",
"24.7 years",
"23.7 years"
] | T = (100 * 12500)/(15 * 3000) = 27.7 years
ANSWER:A
The answer is: A | A |
mathematics | What should come in place of the question mark in the following questions?
?⁄24 = 72⁄√? | [
"12",
"16",
"114",
"144",
"None of these"
] | ? × √? = 24 × 72 Squaring both the sides,
(?2 × ? ) = ?3 = (8 × (3) × (8 × 3) × (8 × 9) × (8 × 9)
= 2(3)8(3)9(3)
∴ ? = 2 × 8 × 9 = 144
Answer D
The answer is: D | D |
mathematics | n a Festival season Director informed his 20 staffs with their family to go for a one day tour. Package for one day is 750/- Some staffs are married and some are unmarried and some having their Kids. Director & 8 staffs are married with 2 kid each. What is the total package: | [
"30000",
"38000",
"45000",
"33000",
"36000"
] | Total staffs = 20
Married staffs including Director = 9 *4= 36
Unmarried Staff = 20-8 = 12
Total persons = 48
Total package = 48 * 750 = 36000
Answer is E
The answer is: E | E |
mathematics | The numbers in which of the following pairs do NOT have a pair of distinct prime divisors in common? | [
"10 and 20",
"12 and 18",
"24 and 16",
"21 and 63",
"22 and 88"
] | 16 has only the prime 2 (16=2^4) in its prime factorization, so it can not have a PAIR of distinct prime divisors in common with ANY of the numbers.
The answer is C.
The answer is: C | C |
mathematics | Which of the following values of A satisfies the inequality?
A(A – 2) = 5A – 10 | [
"A > 5 or A < 2",
"2 < A < 5",
"2 < A = 5",
"A = 5, A = -2",
"None of these"
] | Explanation:
A ( A – 2) = 5 A – 10
A( A – 2) = 5 ( A – 2)
A = 5 if A – 2 > 0
A = 5, A > 2
i.e. 2 < A = 5
ANSWER: C
The answer is: C | C |
mathematics | Marla starts running around a circular track at the same time Nick starts walking around the same circular track. Marla completes 30 laps around the track per hour and Nick completes 15 laps around the track per hour. How many minutes after Marla and Nick begin moving will Marla have completed 4 more laps around the tr... | [
"5",
"16",
"12",
"15",
"20"
] | Maria's rate - 30 laps per hour --> 30/60 laps/min
Nick's rate - 15 laps per hour --> 15/60 laps/min
lets set equations:
30/60*t=4 (since Maria had to run 4 laps before Nick would start)
15/60*t=0 (Hick has just started and hasn't run any lap yet)
(30/60-15/60)*t=4-0 (since Nick was chasing Maria)
t=16 min needed Maria... | B |
mathematics | There are two numbers. If 30% of the first number is added to the second number, then the second number increases to its six-fifth. What is the ratio of the first number to the second number? | [
"1 : 4",
"4 : 5",
"3 : 5",
"5 : 8",
"2 : 3"
] | Let the two numbers be x and y.
(3/10) * x + y = (6/5) * y
(3/10) * x = (1/5) * y
x/y = 10/15 = 2/3
The answer is E.
The answer is: E | E |
mathematics | Find the odd man out. 1, 4, 9, 17, 25, 36, 49 | [
"1",
"9",
"17",
"49",
"36"
] | Explanation :
The pattern is 1^2, 2^2, 3^2, 4^2, 5^2, 6^2, 7^2
But, instead of 4^2, 17 is given
Answer : Option C
The answer is: C | C |
mathematics | In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race? | [
"187 sec",
"190 sec",
"278 sec",
"268 sec",
"987 sec"
] | Time taken by B run 1000 meters = (1000 * 10)/50
= 200 sec.
Time taken by A = 200 - 10
=190 sec.
Answer: B
The answer is: B | B |
mathematics | A merchant gets a 5% discount on each meter of fabric he buys after the first 2,000 meters and a 7% discount on every meter after the next 1,500 meters. The price, before discount, of one meter of fabric is $2, what is the total amount of money the merchant spends on 4,500 meters of fabric? | [
"$8,617",
"$8,710",
"$8,810",
"$8,835",
"$8,915"
] | for first 2000 metres he does not get any discount
amount = 2*2000 = $4000
for next 1500 metres he gets 5% discount
amount = 2*1500 - (1/20)*3000 = $2850
for the nest 1000 metres he gets 7% discount
amount = 2*1000 - 7*20 = $1860
total amount = $4000 + $2850 + $1860 = $8710
ANSWER:B
The answer is: B | B |
mathematics | The radius of a cylindrical vessel is 7cm and height is 5cm. Find the whole surface of the cylinder? | [
"308 sq cm",
"528 sq cm",
"440 sq cm",
"132 sq cm",
"138 sq cm"
] | r = 7 h = 5
2πr(h + r) = 2 * 22/7 * 7(12) = 528
ANSWER:B
The answer is: B | B |
mathematics | A 6% stock yields 8%. The market value of the stock is: | [
"Rs. 48",
"Rs. 75",
"Rs. 96",
"Rs. 133.33",
"Rs. 143.33"
] | Let the face value of the stock is Rs.100
It yields Rs.6
Market value of the stock=(6/8)*100=Rs.75
ANSWER:B
The answer is: B | B |
mathematics | A certain no. when divided by 50 leaves a remainder 25, what is the remainder if the same no.be divided by 15? | [
"3",
"4",
"5",
"8",
"9"
] | Explanation:
50 + 25 = 75/15 = 5 (Remainder)
C
The answer is: C | C |
mathematics | On his first 3 tests, Rajeev received an average score of N points. If on his fourth test, he exceeds his previous average score by 20 points, what is his average score for his first 4 tests? | [
"N",
"N + 4",
"N + 5",
"N + 10",
"N + 20"
] | Total points from first three tests: 3N
Points on fourth test: N + 20
Total points on all four tests: 3N + (N + 20) = 4N + 20
Average score for first four tests: (4N + 20)/4 = N + 5
Answer is C.
The answer is: C | C |
mathematics | The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 675 sq m, then what is the breadth of the rectangular plot? | [
"11",
"15",
"18",
"101",
"1322"
] | Let the breadth of the plot be b m.
Length of the plot = 3 b m
(3b)(b) = 675
3b2 = 675
b2 = 225 = 15 (b > 0)
b = 15 m.
Answer: B
The answer is: B | B |
mathematics | A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red? | [
"12/459",
"12/489",
"12/455",
"12/454",
"12/451"
] | Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.
When three marbles are drawn, the probability that one is yellow and two are red
= (²C₁)(⁴C₂)/¹⁵C₃
= (2 * 4 * 3 * 3 * 2)/(1 * 2 * 15 * 14 * 13)
= 12/455
Answer: C
The answer is: C | C |
mathematics | (5568 / 87)1/3 + (72 x 2)1/2 = (?)1/2 ? | [
"256",
"4",
"√2",
"16",
"None"
] | Answer
?)1/2 = (5568 / 87)1/3 + (72 x 2)1/2
= (64)1/3 + (144)1/2
∴ ? = (4 + 12)2 = 256
Correct Option: A
The answer is: A | A |
mathematics | After decreasing 24% in the price of an article costs Rs.684. Find the actual cost of an article? | [
"218",
"777",
"900",
"2688",
"1991"
] | CP* (76/100) = 684
CP= 9 * 100 => CP = 900
Answer: C
The answer is: C | C |
mathematics | A watch which gains uniformly ,is 5 min,slow at 8 o'clock in the morning on sunday and it is 5 min 48 sec.fast at 8 p.m on following sunday. when was it correct? | [
"wednesday at 7:20 PM",
"wednesday at 7:21 PM",
"wednesday at 7:22 PM",
"wednesday at 7:23 PM",
"wednesday at 7:24 PM"
] | This sunday morning at 8:00 AM, the watch is 5 min. Slow, and the next sunday at 8:00PM it becomes 5 min 48 sec fast. The watch gains min in a time of (7×24)+12 = 180 hours.
To show the correct time, it has to gain 5 min.
54/5 min-> 180 hours
5 min -> ?
5/54/5x 180
83 1/3 hrs = 72 hrs+11 1/3 hrs =3 days+11 hrs + 20 min... | A |
mathematics | Last year, Company X paid out a total of $1,050,000 in salaries to its 21 employees. If no employee earned a salary that is more than 25% greater than any other employee, what is the lowest possible salary that any one employee earned? | [
"$40,384.61",
"$41,667",
"$42,000",
"$50,000",
"$60,000"
] | Employee 1 earned $x(say)
Employee 2 will not earn more than $1.25x
Therfore, to minimize the salary of any one employee, we need to maximize the salaries of the other 20 employees
(1.25x*20)+x=1,050,000
Solving for x=$40,384.61
Answer A
The answer is: A | A |
mathematics | Two trucks each 250m long are running in opposite directions on parallel paths. Their speeds are 30 km/hr and 20 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one? | [
"77 sec",
"66 sec",
"48 sec",
"55 sec",
"36 sec"
] | Relative speed = 20 + 30 = 50 km/hr.
50 * 5/18 = 125/9 m/sec.
Distance covered = 250 + 250 = 500 m.
Required time = 500 * 9/125 = 36 sec.
Answer: E
The answer is: E | E |
mathematics | The difference between the length and breadth of a rectangle is 28 m. If its perimeter is 120 m, then its area is: | [
"704 m2",
"720 m2",
"620 m2",
"820 m2",
"None"
] | EXPLANATION
We have: (l – b) = 28 and 2(l + b) = 120 or (l + b) = 60.
Solving the two equations, we get: l = 44 and b = 16.
Area = (l x b) = (44x 16) m2 = 704 m2.
Answer A
The answer is: A | A |
mathematics | A solid yellow stripe is to be painted in the middle of a certain highway. If 1 gallon of paint covers an area of r square feet of highway, how many gallons of paint will be needed to paint a stripe of t inches wide on a stretch of highway m miles long? (1 mile = 5,280 feet and 1 foot = 12 inches) | [
"(5,280 mt) / 12 r",
"(5,280 pt) / 12m",
"(5,280 pmt) /12",
"(5,280)(12m) / pt",
"(5,280)(12p) / mt"
] | Given that: 1 gallon of paint covers an area ofrsquare feet. Question:how many gallonsof paint will be needed ...
In any case you will have:(total area in square feet)/(gallons per feet)=(total area in square feet)/r, so r must be in the denominator: eliminate all but A and D.
Now, lets see where should be t: (area in ... | A |
mathematics | A women travels from X to Y distance of 1000 miles in 10 hours. she returns to X in 4 hours. Find her average speed | [
"300mph",
"150.2mph",
"142.8mph",
"200mph",
"111.01mph"
] | Speed from X to Y = 1000/10 = 100 mph
Speed from Y to X = 1000/4 = 250 mph
Average speed = 2*100*250 / 350 = 142.8mph
Answer is C
The answer is: C | C |
mathematics | 120 students represent x percent of the boys at a school. If the boys at the school make up 30% of the total school population of x students, what is x? | [
"120",
"150",
"180",
"200",
"250"
] | Let B be the number of boys in the school.
120 = xB/100
B = 0.3x
12000=0.3x^2
x^2 = 40000
x = 200
The answer is D.
The answer is: D | D |
mathematics | The value of ((x – y)³ + (y - z)³ + (z – x)³)/(8 (x – y) (y – z) (z – x))
is equal to : | [
"0",
"1/12",
"3/8",
"1/4",
"1/3"
] | Since (x – y) + (y – z) + (z – x) = 0,
so (x – y)³ + (y – z)³ + (z – x)³= 3 (x – y) (y – z) (z – x).
(3 (x – y) (y – z) (z – x))/(8(x – y) (y – z) (z – x)) = 3/8.
ANSWER:C
The answer is: C | C |
mathematics | A car dealership has 40 cars on the lot, 20% of which are silver. If the dealership receives a new shipment of 80 cars, 50% of which are not silver, what percentage of total number of cars are silver? | [
"30%",
"35%",
"40%",
"45%",
"50%"
] | The number of silver cars is 0.2*40 + 0.5*80 = 48
The percentage of cars which are silver is 48/120 = 40%
The answer is C.
The answer is: C | C |
mathematics | 10% people of a village in Sri Lanka died by bombardment, 20% of the remainder left the village on account of fear. If now the population is reduced to 3240, how much was it in the beginning? | [
"A)3800",
"B)4200",
"C)4400",
"D)4500",
"E)4600"
] | X * (90/100) * (80/100) = 3240
X = 4500
ANSWER:D
The answer is: D | D |
mathematics | The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of the two selling prices is? | [
"52:56",
"52:53",
"52:28",
"52:19",
"52:20"
] | Let C.P. of the article be Rs. x.
Then, required ratio = 104% of x / 106% of x
= 104/106 = 52/53
=52:53
Answer: B
The answer is: B | B |
mathematics | Three grades of milk are 1 percent,4 percent and 3 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 2 percent grade, and z gallons of the 3 percent grade are mixed to give x+y+z gallons of a 1.5 percent grade, what is x in terms of y and z? | [
"y + 3z",
"(y +z) / 4",
"2y + 3z",
"3y + z",
"4y + 3z"
] | Soln:
The resulting equation is
=> (.01x + .04y + .03z)/(x+y+z) = 1.5/100
=> x + 4y + 3z = 1.5x + 1.5y + 1.5z
taking x to one side and y and z to other side we get
=> x = 4y + 3z
Ans is E
The answer is: E | E |
mathematics | Due to construction, the speed limit along an 8-mile section of highway is reduced from 55 miles per hour to 35 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ? | [
"A) 4.99",
"B) 8",
"C) 10",
"D) 15",
"E) 24"
] | Old time in minutes to cross 8 miles stretch = 8*60/55 = 8*12/11 = 8.72
New time in minutes to cross 8 miles stretch = 8*60/35 = 8*12/7 = 13.71
Time difference = 4.99
Ans:A
The answer is: A | A |
mathematics | The time in a clock is 20 minute past 2. Find the angle between the hands of the clock. | [
"60 degrees",
"120 degrees",
"45 degrees",
"50 degrees",
"None of these"
] | Solution:
Time is 2:20. Position of the hands: Hour hand at 2 (nearly).
Minute hand at 4
Angle between 2 and 4 is 60 degrees [(360/12) * (4-2)]
Angle made by the hour hand in 20 minutes is 10 degrees, since it turns through ½ degrees in a minute.
Therefore, angle between the hands is 60 degrees - 10 degrees = 50 degree... | D |
mathematics | 0, 1, 4, 9, 16, 25, 36, 49, ?
What number should replace the question mark? | [
"81",
"74",
"64",
"24",
"48"
] | C 64
add 0^2,1^2,2^2,......
The answer is: C | C |
mathematics | How many times does the minute hand and the second hand make a straight line? | [
"2844",
"2832",
"2855",
"2381",
"2831"
] | make a straight line 59 x 2 times = 118 times (both aligned, and in opposition) and there are 24 hours in a day, so in a day minutes and second hand make a straight line 24 x 118 times = 2832 times.
so answer is B
The answer is: B | B |
mathematics | A man can row a boat at 20 kmph in still water. If the speed of the stream is 9 kmph, what is the time taken to row a distance of 60 km downstream? | [
"30/18 hours",
"37/13 hours",
"80/13 hours",
"30/13 hours",
"60/29 hours"
] | Speed downstream = 20 + 9 = 29 kmph.
Time required to cover 60 km downstream
= d/s = 60/29
= 60/29 hours.
Answer: E
The answer is: E | E |
mathematics | Drum X is 1/2 full of oil and drum Y, which has twice the capacity of drum X, is 1/4 full of oil. If all of the oil in drum X is poured into drum Y, then drum Y will be filled to what capacity? | [
"1/2",
"2/3",
"3/4",
"5/6",
"7/8"
] | (1/2)X = (1/4)Y
(1/4)Y + (1/4)Y = (1/2)Y
The answer is A.
The answer is: A | A |
mathematics | In how many different ways can the letters of the word 'PROFILE' be arranged in such a way that the vowels occupy only the odd positions ? | [
"720",
"550",
"670",
"625",
"576"
] | Number of ways of arranging the vowels =4P3=4!=24.
Also, the 4 consonants can be arranged at the remaining 4 positions.
Number of ways of these arrangements =4P4=4!=24.
Total number of ways =(24*24)=576.
Answer is E
The answer is: E | E |
mathematics | Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1350 as rent for parking his cars, what is the total rent paid by all the four agencies? | [
"2388",
"7380",
"1279",
"6150",
"2771"
] | The ratio in which the four agencies will be paying the rents = 15 * 12 : 12 * 20 : 18 * 18 : 16 * 15
= 180 : 240 : 324 : 240 = 45 : 60 : 81 : 60
Let us consider the four amounts to be 45k, 60k, 81k and 60k respectively.
The total rent paid by the four agencies = 45k + 60k + 81k + 60k= 246k
It is given that A paid Rs. ... | B |
mathematics | An ore contains 25% of an alloy that has 90% iron. Other than this, in the remaining 75% of the ore, there is no iron. How many kilograms of the ore are needed to obtain 60 kg of pure iron? | [
"250 kg",
"275 kg",
"300 kg",
"266.66 kg",
"None"
] | Solution: Let there is 100 kg of ore.
25% ore contains 90% off Iron that means 25 kg contains;
25*90/100 = 22.5 kg Iron.
22.5 kg Iron contains 100 kg of ore.
Then, 1 kg of iron contains = 25/100 kg ore;
Hence, 60 kg iron contains = 100*60/22.5 = 266.66 kg ore.
Answer: Option D
The answer is: D | D |
mathematics | is twice as fast as B. If B alone can do a piece of work in 30 days, in what time can A and B together complete the work? | [
"13 days",
"10 days",
"16 days",
"11 days",
"18 days"
] | B
10 days
A can do the work in 30/2 i.e., 15 days.
A and B's one day's work = 1/15 + 1/30 = (2 + 1)/30 = 1/10
So A and B together can do the work in 10 days.
The answer is: B | B |
mathematics | Ron walks to a viewpoint and returns to the starting point by his car and thus takes a total time of 6 hours 45 minutes. He would have gained 2 hours by driving both ways. How long Q would it have taken for him to walk both ways. | [
"8 h 45 min",
"7 h 45 min",
"6 h 45 min",
"5 h 30 min",
"None of these"
] | 1.Walking to to a viewpoint+Driving back=6 hours 45 minutes
2.Driving to a viewpoint+Driving back=6 hours 45 minutes - 2 hours=4 hours 45 minutes, thereforeone way driving=4 hours 45 minutes/2 =2 hours 22.5 minutes.
3. From 1.one way driving=6 hours 45 minutes-2 hours 22.5 minutes=4 hours 22.5 minutes.
4.Walking to to ... | A |
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