divelab/Sys2Bench huggingface dataset:
Question: A Barman's train rails across an open track at 250 kilometers per hour. A regular passenger train travels at 68% of the Barman's train speed. If the two trains start moving from the same station at the same time, how much time longer will it take the passenger train than the Barman's to travel 850 kilometers?
Options:
A)1 hour and 24 minutes
B)1 hour and 36 minutes
C)2 hours and 24 minutes.
D)2 hours and 36 minutes
E)5 hours
Rationale: B train speed 250
P train speed 250(68/100) =170
Difference of speed
B-P = 80 km/hrs
Total distance = 850
Additional Time taken 850/80
1h36min
ANSWER:B
Answer: B
Question: In how many ways can a person post 5 letters in 4 letter boxes ?
Options:
A)480
B)1024
C)54
D)4^5
E)5^5
Rationale: There are 4 places (ABCD) that need to be filled.
Letter 1 can be posted in either A, B, C, or D i.e. 4 ways
Letter 2 can be posted in either A, B, C, or D i.e. 4 ways
Letter 3 can be posted in either A, B, C, or D i.e. 4 ways
Letter 4 can be posted in either A, B, C, or D i.e. 4 ways
Letter 5 can be posted in either A, B, C, or D i.e. 4 ways
So the total no of ways in which 5 letters can be posted in 4 boxes are = 4 x 4 x 4 x 4 x 4 = 4 ^ 5
Thus the answer is D
Answer: D
Question: The population of a bacteria culture doubles every 5 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria
Options:
A)10
B)12
C)14
D)16
E)45
Rationale: This one's easy.
1000 * 2^t = 500,000
2^t = 500
Now gauging, since 2^8 = 256, then 2^9 = 512
So t = 9
But be careful, 't' is in time intervals of 5 minutes
So answer is 9*5 = 45 minutes
Answer (E)
Answer: E
Question: How many six digit phone numbers can you frame using the digits from 0 to 9 if a condition restricts you to start the number with 35 and another condition restricts you from using any digit more than once?
Options:
A)1580
B)1680
C)1648
D)1782
E)1845
Rationale: as the first two digits are fixed and on remaining 4places we can use only one at a time.this means on third place we can use any digit from 0,1,2,4,6,7,8,9. which means we can choose any of 8digits. similarly on 4th place any 7digits n so on..
thus 1*1*8*7*6*5=1680
ANSWER:B
Answer: B
Question: If a * b * c =(√(a + 2)(b + 3)) / (c + 1), find the value of 6 * 15 * 7.
Options:
A)8
B)5
C)11
D)3
E)1.5
Rationale: 6 * 15 * 3 = (√(6 + 2)(15 + 3) )/ (7 + 1)
= (√8 * 18) / 8
= (√144) / 8
= 12 / 8 = 1.5
Answer is E
Answer: E
Question: The value of x is to be randomly selected from the integers from 1 to 6, inclusive, and then substituted into the equation y = x^2 - 4x + 3. What is the probability that the value of y will be negative?
Options:
A)1/3
B)1/4
C)1/5
D)1/6
E)1/7
Rationale: y will only be negative for x=2.
(We can check the values from 1 to 6 to be certain.)
P(y is negative) = 1/6
The answer is D.
Answer: D
Question: Some students are standing in a circle in which 6th and the 16th student are standing opposite to each other. find how many students were present there.
Options:
A)10
B)15
C)20
D)25
E)30
Rationale: (n/2) - x = 6
n - x = 16
solving these two => n = number of students = 20
ANSWER:C
Answer: C
Question: A trader mixes 25 kg of rice at Rs. 30 per kg with 25 kg of rice of other variety at Rs. 40 per kg and sells the mixture at Rs. 40 per kg. His profit percent is:
Options:
A)No profit, no loss
B)5%
C)14.29%
D)10%
E)None of these
Rationale: C.P. of 50 kg rice = Rs. (25 x 30 + 25 x 40) = Rs. (750 + 1000) = Rs. 1750
S.P. of 50 kg rice = Rs. (50 x 40) = Rs.2000
Gain =250/1750x100% = 14.29%.
Answer: Option C
Answer: C
Question: The ratio of present ages of Nisha and Shilpa is 7 : 8 respectively. Four years hence this ratio becomes 9 : 10 respectively. What is Nisha’s present age in years?
Options:
A)18
B)14
C)17
D)Data inadequate
E)None of these
Rationale: Present age of Nisha = 4×(10−9)/9×8−10×7×7
= 14 years
Answer B
Answer: B
Question: The speed of a car is 90 km in the first hour and 40 km in the second hour. What is the average speed of the car?
Options:
A)12
B)75
C)88
D)65
E)15
Rationale: S = (90 + 40)/2
= 65 kmph
Answer: D
Answer: D
Question: Grandmother's Punch hangover cure is a mix of two ingredients: a herbal extraction that contains 20% alcohol and apricot cider that contains 5% alcohol. If a 750-milliliter Grandmother's Punch bottle has 87 milliliters of alcohol, how much apricot cider does it contains?
Options:
A)330 milliliters
B)420 milliliters
C)565 milliliters
D)630 milliliters
E)670 milliliters
Rationale: let herbal extraction be denoted H and other A
case 1:
if H: 350 and A:400
20%-70 and 5%-20 --- total 90 ml
case 2:
if H:300 and A:450
20%-60 and 5%-22.5--- 82.5 ml
therefore A is between 400 and 450 ml :
ANSWER:B
Answer: B
Question: A cake is cut into 16 pieces.Whats amount of cake must be eaten to make cake cut into half.
Options:
A)4
B)2
C)9
D)8
E)3
Rationale: The cake is cut into 16 equal pieces.Half of 16 is 8. So 8 pieces must be removed from 16 pieces to make it half. Answer:D
Answer: D
Question: what is the compound interest on rs:60,000 for 4 months at the rate of 5% per annum
Options:
A)1058.24
B)2006.24
C)1006.13
D)1015.24
E)1014.24
Rationale: it is monthly compound
rate=5/12% per month
60000*(1+5/1200)^4-60000=1006.13
ANSWER:C
Answer: C
Question: In how many different number of ways 6 men and 3 women can sit on a shopa which can accommodate persons?
Options:
A)170
B)180
C)200
D)504
E)220
Rationale: Option 'D'
9p3 = 9 × 8 × 7 = 504
Answer: D
Question: On a scale of a map 0.6 cm represents 6.6km. If the distance between two points on the map is 80.5 cm , what is the the actual distance between these points?
Options:
A)885.5 km
B)860 km
C)892.5 km
D)825 km
E)845 km
Rationale: Explanation:
0.6 cm in map ≡ actual distance of 6.6 km
1 cm in map ≡ 6.6/.6 km
80.5 cm in map ≡ 80.5×6.6/.6 km = 885.5 km
Answer: Option A
Answer: A
Question: Shyam purchased a cow for Rs 20000 and 2 goats for 10000. He sold the cow at a loss of 5% and goats at a profit of 15%. Overall he make a.?
Options:
A)500
B)400
C)300
D)350
E)550
Rationale: Let the SP of the cow and the goats be Rs. c and Rs. g respectively.
c = 20000(1 - 5/100) = 20000 - 1000
g = 10000(1 + 15/100) = 10000 + 1500
Total SP - Total CP = c + g - (20000 + 10000) = - 1000 + 1500 = Rs. 500
As this is positive, an overall profit of Rs. 500 was made.
Answer: A
Answer: A
Question: An article is bought for Rs.500 and sold for Rs.700, find the gain percent?
Options:
A)33 1/7%
B)33 1/6%
C)33 1/3%
D)38 1/3%
E)40%
Rationale: 500 ---- 200
100 ---- ? => 40%
Answer:E
Answer: E
Question: If a number between 0 and 1/2 is selected at random, which of the following will the number most likely be between
Options:
A)0 and 3/20
B)3/20 and 1/5
C)1/5 and 1/4
D)1/4 and 3/10
E)3/12 and 1/2
Rationale: E. 3/12 and 1/2
Definitely not. I am always happy to explain a given question or issue if I can. However, I sometime donot put my explanation if I am answering first because I want to put others first for their explanation.
Now you have excellent explanantion byscthakur. In fact the question is asking the likelyness of or high chances/probability of having a given number. Hope you already got it. E
Answer: E
Question: y=248-398x Which of the following values of x gives the greatest value of y in the equation above?
Options:
A)200
B)100
C)0.5
D)0
E)-1
Rationale: Explanation:
This is quite simple. Just by looking at the values they are all positive except two. If you enter any of the values instead of x you will get a negative y. By entering 0 you already get to positive=248. But the correct answer is -1 since this equals y=248-(398*(-1))=248+398. This is the greatest value.
Answer: Option E
Answer: E
Question: 17. 2 x 40 =?
Options:
A)188.0
B)688.0
C)288.0
D)388.0
E)488.0
Rationale: Multiply 17.2
x 40
Answer: 688.0
correct answer B
Answer: B
Question: 7 noun, 5 verbs and 2 adjectives are written on blackboard.we can form sentence by choosing 1 from each available set without caring it makes sense or not.what is the number of ways of doing this??
Options:
A)420
B)450
C)500
D)520
E)540
Rationale: we have to choose one from each set. 1 from 7 nouns and 1 from 5 verbs and 1 from 2 adjectives.
then we have 2 arrange 3 different set in 3! ways.
so,
7c1*5c1*2c1*3!=420
ANSWER:A
Answer: A
Question: a, and b are positive integers less than or equal to 9 and b is twice the a. If a and b are assembled into the four-digit number abab, which of the following must be a factor of abab?
Options:
A)5
B)7
C)9
D)12
E)None of these
Rationale: b = 2a is given thus possible numbers are 1212, 2424, 3636 and 4848. All are divisible by 12. Thus 12 must be a factor of abab
Answer: D
Answer: D
Question: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
Options:
A)345
B)250
C)376
D)450
E)342
Rationale: Option: E
Explanation:
400*(90/100)*(95/100) = 342
Answer: E
Question: Barbara has 8 shirts and 8 pants. How many clothing combinations does Barbara have, if she doesn’t wear 2 specific shirts with 3 specific pants?
Options:
A)41
B)66
C)36
D)50
E)56
Rationale: 8 shirts
9 pants
we can combine 2 shirts with (8-3) pants
2*5=10
we can combine the other shirts (6) with any pants (9)
5*8=54
Thus total :40+10=50	ANS:D
Answer: D
Question: A group of hikers is planning a trip that will take them up a mountain using one route and back down using another route. They plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up, but the time each route will take is the same. If they will go up the mountain at a rate of 8 miles per day and it will take them two days, how many miles long is the route down the mountain?
Options:
A)18
B)20
C)22
D)24
E)25
Rationale: On the way down, the rate is 1.5*8 = 12 miles per day.
The distance of the route down the mountain is 2*12 = 24 miles.
The answer is D.
Answer: D
Question: If x:y=9:4 then (7x-3y) : (7x+3y)=?
Options:
A)51:76
B)6:13
C)51:75
D)51:76
E)None of these
Rationale: Explanation:
x/y = 9/4 (Given)
(7x − 3y)/(7x + 3y)
7(x/y) − 3/7(x/y)+3
( on dividing Nr and Dr by y)
(7(9/4) − 3)/(7(9/4) + 3)
(63/4 − 3/1)/(63/4 + 3/1)
[(63 − 12)/4]/[(63 + 12)/4] = 51/75
(7x-3y) : (7x+3y) = 51:75
Answer: Option C
Answer: C
Question: The sum of three numbers is 294. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8,then the second number is :
Options:
A)20
B)30
C)38
D)90
E)None of these
Rationale: A : B = 2 : 3 = 2 × 5 : 3 × 5 = 10 : 15
and B : C = 5 : 8 = 5 × 3 : 8 × 3 = 15 : 24
Therefore, A : B : C = 10 : 15 : 24
∴ A : B : C = 10 : 15 : 24
Let the number be 10x, 15x and 24x.
Then, 10x + 15x + 24x = 294
or 49x = 294 or x = 6
⇒ Second number = 15x = 15 × 6 = 90
Answer D
Answer: D
Question: A sporting goods store sold 60 Frisbees in one week, some for $3 and the rest for $4 each. If receipts from Frisbee sales for the week totaled $204, what is the fewest number of $4 Frisbees that could have been sold?
Options:
A)24
B)12
C)8
D)4
E)2
Rationale: In this question however, because we are told that exactly 64 Frisbees have been sold and revenue was exactly $204, there is only one possible solution for the number of $3 and $4 Frisbees sold.
To solve, we have 2 equations and 2 unknowns
Let x = number of $3 Frisbees sold
Let y = number of $4 Frisbees sold
x + y = 60
3x + 4y = 204
x = 60 - y
3(60-y) + 4y = 204
180 - 3y + 4y = 204
y = 24
Answer: A
Answer: A
Question: There are 8 red, 7 blue and 6 green balls, 1 ball is picked up randomly then what is the probability that neither blue nor green?
Options:
A)2/21
B)3/31
C)4/17
D)3/19
E)probability=8/21
Rationale: Total number of balls = (8 + 7 + 6) = 21
Let E = event that the ball drawn is neither blue nor green =e vent that the ball drawn is red.
Therefore, n(E) = 8.
P(E) = 8/21.
Answer: E
Question: For an upcoming charity event, a male vocalist has agreed to sing 7 out of 9 “old songs” and 5 out of 8 “new songs.” How many ways can the singer make his selection?
Options:
A)25
B)50
C)150
D)480
E)161.28
Rationale: =9C7*8C5
=9*8/5*8*7/5
=161.28
Ans = E
Answer: E
Question: In a 1100 m race Usha beats Shiny by 50 m. In the same race, by what time margin Shiny beat Mercy who runs at 4 m/s ?
Options:
A)100 sec.
B)55 sec
C)25 sec
D)Data not sufficient
E)None of these
Rationale: Speed of Shiny = 50/ 10 = 5m/s
Time taken by shiny to complete the race is B = 1100/5 = 220 sec.
Time taken by Baley to complete the race is D = 1000/4 = 275 sec.
Hence, D-B = 55 sec
ANSWER:B
Answer: B
Question: Workers at a campaign office have 2000 fliers to send out. If they send out 1/4 of them in the morning and 1/5 of the remaining ones out during the afternoon, how many are left for the next day?
Options:
A)300
B)800
C)1100
D)1200
E)1180
Rationale: (1/4)*2000 = 500
Remaining = 2000-500 = 1500
(1/5) of remaining = (1/5)*1600 = 320
Remaining now = 1500-320 = 1180
Answer: Option E
Answer: E
Question: A present value of a machine is $40000. Its value depletiation rate is 5% per annum then find the machine value after 2 years?
Options:
A)$36540
B)$36100
C)$29580
D)$31256
E)$41250
Rationale: P= $40000
R = 5%
T = 2 years
Machine value after 3years = P/(1-R/100)^T
=40000*19/20 * 19/20 * 19/20
=$36100
Answer is B
Answer: B
Question: If the average marks of three batches of 55, 60 and 45 students respectively is 40, 55, 60, then the average marks of all the students is:
Options:
A)51.25
B)54.68
C)55
D)56
E)None of these
Rationale: Explanation:
Required average = (55 × 40 + 60 × 55 + 45 × 60/55 + 60 + 45)
= (2200 + 3300 + 2700/160)
= 8200/160
= 51.25
Answer: A
Answer: A
Question: The sum of two numbers is 29 and the difference of their squares is 145. The difference between the number is
Options:
A)13
B)5
C)8
D)11
E)12
Rationale: Explanation:
Let the numbers be x and y.
We know that,
(x−y)=x2−y2/(x+y)
=145/29=5
Correct Option: B
Answer: B
Question: If H = 775 × 778 × 781, what is the remainder when H is divided by 14?
Options:
A)6
B)7
C)8
D)9
E)10
Rationale: H 775/14 leaves a remainder 5
778/14 leaves a remainder 8
781/14 leaves a remainder 11
5*8*11 =440
So the remainder will be the remainder of 440/14 which is 6
Ans A
Answer: A
Question: the sum of 3rd and 9th term of A.P is 8. find the sum of 1st 11 terms of A.P
Options:
A)33
B)22
C)44
D)55
E)66
Rationale: A.P. series is a, a+d, a+2d, a+3d, a+4d,..............nth terms
where a = first term
d = common difference
We have to given,
sum of 3rd and 9th terms = 8
(a+2d)+(a+8d) = 8
2a+10d = 8
a+5d = 4.............(1)
formula, Sum of 1st 11 terms of AP
S = n[ 2a+(n-1)d ]/2
=11[ 2a+(11-1)d ]/2
=11[a+5d]
=11[4] ( from eq. ...(1) )
S = 44
ANSWER:C
Answer: C
Question: What is the total number of prime numbers less than 55?
Options:
A)17
B)18
C)16
D)20
E)21
Rationale: Solution
Prime numbers less than 55 are	=16.
2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53
Their number is 16.
Answer C
Answer: C
Question: Tough and Tricky questions: Decimals.
The value of x is derived by summing a, b, and c and then rounding the result to the tenths place. The value of y is derived by first rounding a, b, and c to the tenths place and then summing the resulting values. If a = 5.58, b = 2.95, and c = 3.65, what is y – x?
Options:
A)-0.1
B)0.2
C)0.05
D)0.1
E)0.2
Rationale: To find x, we first sum a, b, and c, then round to the tenths place. 5.58 + 2.95+ 3.65 = 12.18, which rounds to 12.2.
To find y, we first round a, b, and c to the tenths place and them sum them. so 5.5 + 2.9 + 3.6 = 12.0.
We are looking for y - x, which gives us 12.5 - 12.4 = 0.2, or answer choice B.
B
Answer: B
Question: An agency wants to buy furnitures of x% of a list of 10,000 furnitures in a catalogue. After a market price increase, the agency must reduce this selection by (x − 2)%. In terms of x, how many furnitures will the agency be able to buy?
Options:
A)x*x – 2x
B)(x)(102 – x)
C)(100)(102 – x)
D)(100)(98 – x)
E)(x-2)/100
Rationale: Based on the answer choices and the question, this question begs the use of x=2 as a sample number.
Initial = 2%*10000 = 200
Reduction = 2-2=0%, so no math required here to calculate the reduction; just make sure that you can calculate 200 in your answer.
A. x*x – 2x = 0; No
B. (x)(102 – x) = 200; Winner!
C. (100)(102 – x) > 200; No
D. (100)(98 – x) > 200; No
E. (x-2)/100 = 0; No
B
Answer: B
Question: There are 2 red chips and 4 blue ones. When arranged in a row, they form a certain color pattern, for example RBRRB. How many color patterns?
Options:
A)A)10
B)B)12
C)C)50
D)D)60
E)E)100
Rationale: Using anagram method:
6_5_4_3_2_1
R_R_B_B_B_B
so..
6!/Number of repeated letters (2!)(4!) = 10
ANS:E
Answer: E
Question: A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed:
Options:
A)30 birds
B)22 birds
C)18 birds
D)38 birds
E)28 birds
Rationale: Let total number of shots =x
Shots fired by A =5x/8
Shots fired by B =3x/8
Killing shots by A
=(5x/8)×(1/3)=5x/24
Missing shots by B
=(3x/8)×(1/2)=3x/16
B has missed 27 times
⇒3x/16=27
⇒x=(27×16)/3=144
Hence, killing shots by A
=5x/24=(5×144)/24=30
i.e., A has killed 30 birds
Answer: A
Answer: A
Question: What day of the week does May 28 2006 fall on
Options:
A)Saturday
B)Monday
C)Sunday
D)Thursday
E)None of these
Rationale: Explanation :
28th May 2006 = (2005 years + period from 1-Jan-2006 to 28-May-2006)
We know that number of odd days in 400 years = 0
Hence the number of odd days in 2000 years = 0 (Since 2000 is a perfect multiple of 400)
Number of odd days in the period 2001-2005
= 4 normal years + 1 leap year
= 4 x 1 + 1 x 2 = 6
Days from 1-Jan-2006 to 28-May-2006 = 31 (Jan) + 28 (Feb) + 31 (Mar) + 30 (Apr) + 28(may)
= 148
148 days = 21 weeks + 1 day = 1 odd day
Total number of odd days = (0 + 6 + 1) = 7 odd days = 0 odd day
0 odd day = Sunday
Hence May 28 2006 is Sunday. Answer : Option C
Answer: C
Question: Ajay, Bhavan and Chetan started a business together. Thrice the investment of Ajay, twice the investment of Bhavan and the investment of Chetan are equal. Find the ratio of their respective profits at the end of the year?
Options:
A)1:2:1
B)2:3:6
C)3:2:1
D)1:2:3
E)1:4:3
Rationale: Let the investments of Ajay, Bhavan and Chetan be Rs,a, Rs.b and Rs.c respectively.
3b = 2b = c.
a = c/3.
b = c/2.
Ratio of profits of Ajay, Bhavan and Chetan at the end of one year = Ratio of their respective investments
= 2:3:6.
ANSWER:B
Answer: B
Question: 125 liters of a mixture of milk and water contains in the ratio 3:2. How much water should now be added so that the ratio of milk and water becomes 3:4?
Options:
A)3:7
B)3:9
C)3:1
D)3:4
E)3:2
Rationale: Milk = 3/5 * 125 = 75 liters
Water = 50 liters
75 : (50+P) = 3:4
150 + 3P = 400 => P = 50
50 liters of water are to be added for the ratio become 3:4.
Answer:D
Answer: D
Question: Each night before he goes to bed, Jordan likes to pick out an outfit to wear the next day. He has 10 different shirts, 10 different pairs of jeans, and 8 pairs of sneakers. If an outfit consists of 1 shirt, 1 pair of jeans, and 1 pair of sneakers, how many different outfits does Jordan have?
Options:
A)30
B)90
C)240
D)480
E)800
Rationale: Total # of outfits = 10 * 10 * 8 = 800
Answer - E
Answer: E
Question: A and B can do a work in 4 hours and 12 hours respectively. A starts the work at 6AM and they work alternately for one hour each. When will the work be completed?
Options:
A)8 days
B)5 days
C)4 days
D)6 days
E)2 days
Rationale: Work done by A and B in the first two hours, working alternately = First hour A + Second hour B
= 1/4 + 1/12 = 1/3.
Total time required to complete the work
= 2 * 3 = 6 days.
Answer: D
Answer: D
Question: There are 7 red cups and 5 blue cups on a shelf. If 4 cups are selected at random from the shelf, what is the probability that all 4 cups selected are red cups?
Options:
A)1/99
B)5/99
C)7/99
D)11/99
E)17/99
Rationale: The number of ways of choosing 4 cups from the shelf is 12C4 = 495.
The number of ways of choosing 4 red cups is 7C4 = 35.
P(4 red cups) = 35/495=7/99.
The answer is C.
Answer: C
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train?
Options:
A)150 meter
B)178 meter
C)209 meter
D)279 meter
E)269 meter
Rationale: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 9
=150 meter
Answer:A
Answer: A
Question: A train 90 meters long completely crosses a 200 meters long bridge in 36 seconds. What is the speed of the train is?
Options:
A)29
B)40
C)25
D)66
E)09
Rationale: S = (90 + 200)/36 = 290/36 * 18/5 = 29
Answer: A
Answer: A
Question: In a game of 80 points, A can give B 5 points and C 15 points. then how many points B can give C in a game of 60?
Options:
A)7 points
B)8 points
C)9 points
D)10 points
E)11 points
Rationale: In a game of 80 points,A give B 5 points and c 15 points means B=75,C=65
In 75 points B give 10 since 75-65=10
In 60 points B gives=60*10/75=8
so ans 8 points
ANSWER:B
Answer: B
Question: In 20 minutes, the minute hand gains over the hour hand by
Options:
A)16°
B)80°
C)88°
D)96°
E)110°
Rationale: In one hour, the hour hand moves 30°, which is 0.5° each minute.
In one hour, the minute hand moves 360°, which is 6° each minutes.
The minute hand gains 5.5° each minute.
In 20 minutes, the minute hand gains 20 * 5.5° = 110°.
The answer is E.
Answer: E
Question: The length of a rectangle is halved, while its breadth is tripled. Watis the % change in area?
Options:
A)30%
B)40%
C)50%
D)60%
E)70%
Rationale: Let original length = x and original breadth = y.
Original area = xy.
New length = x .
2
New breadth = 3y.
New area = x x 3y = 3 xy.
2 2
Increase % = 1 xy x 1 x 100 % = 50%.
2 xy
C
Answer: C
Question: On her annual road trip to visit her family in Seal Beach, California, Traci stopped to rest after she traveled 1⁄2 of the total distance and again after she traveled 1⁄4 of the distance remaining between her first stop and her destination. She then drove the remaining 400 miles and arrived safely at her destination. What was the total distance, in miles, from Traci’s starting point to Seal Beach?
Options:
A) 250
B) 3200/3
C) 3150/3
D) 4002/3
E) 550
Rationale: Let D = total distance
Traci traveled 1/2 = D/2
i.e. remaining distance = D/2
She traveled 1/4 th of D/2 = D/8
Thus:
D = (D/2) + (D/8) + 400
D = 3200/3
ANSWER: B
Answer: B
Question: There is a family of six persons A, B, C, D, E and F. They are Lawyer, Doctor, Teacher, Salesman, Engineer and Accountant There are two married couples in the family. D, the Salesman is married to the Lady Teacher. The Doctor is married to the Lawyer. F, the Accountant is the son of B and brother of E. C, the Lawyer is the daughter-in-law of A. E is the unmarried Engineer. A is the grandmother of F. How is E related to F?
Options:
A)Brother
B)Sister
C)Cousin
D)Cannot be determined
E)father
Rationale: Explanation:
C is the daughter-in-law of A who is the grandmother of F means C is the mother of F. But F is the son of B.
So. B is C's husband. But C, the lawyer is married to the Doctor So. B is the Doctor. F, the Accountant will be the son of B and C. E is the unmarried Engineer
So. the other mamed couple can be that of grandmother of F i.e, A and D. But D, the Salesman, is married to the Lady Teacher.
So. D, the Salesman, is the grandfather of F. father of B and the husband of A, the Lady Teacher.
Clearly, from the given data, the relation between E and F cannot be determined.
Answer: D)
Answer: D
Question: Hillary and Eddy are climbing to the summit of Mt. Everest from a base camp 5,100 ft from the summit. When they depart for the summit at 06:00, Hillary climbs at a rate of 800 ft/hr with Eddy lagging behind at a slower rate of 500 ft/hr. If Hillary stops 1100 ft short of the summit and then descends at a rate of 1,000 ft/hr, at what time do Hillary and Eddy pass each other on her return trip?
Options:
A)14.0
B)9.0
C)10.0
D)11.0
E)12.0
Rationale: Solution:H stopped 800 ft before reaching the final point, time taken to reach 4000 ft= 4000/800= 5hrs.
this means she reached there at 11:00.
speed difference between them is 800-500=300 ft/hr
so by the time H stops they have 1500 ft of distance
so now here we use relative speed formula they both are travelling toward each other with speed of 1000 and 500 total 1500 ft/hr and distance between them is 1500 ft so time taken to meet = 1 hr from 11:00
means 12:00 is the answer.
E
Answer: E