divelab/Sys2Bench huggingface dataset:
Question: At the faculty of Aerospace Engineering, 312 students study Random-processing methods, 234 students study Scramjet rocket engines and 112 students study them both. If every student in the faculty has to study one of the two subjects, how many students are there in the faculty of Aerospace Engineering?
Options:
A)430
B)434
C)438
D)444
E)446
Rationale: 312 + 234 - 112 (since 112 is counted twice )= 434
B is the answer
Answer: B
Question: A no.when divided by 220 gives a remainder 43, what remainder will beobtained by dividingthe same no.67?
Options:
A)4
B)6
C)9
D)11
E)14
Rationale: 221 + 43 = 264/17 = 9 (Remainder)
C
Answer: C
Question: Samantha's investment portfolio consists of three stocks: an airline, a bank, and a computer company. In the month of February, the price of the airline's stock rose by 10%, that of the bank decreased by 10% and that of the computer company also decreased by 15%, but the overall value of her portfolio increased. If Samantha owns equal amounts of all three stocks, which of the following could be the initial prices of the three stocks in the order airline, bank, and computer company respectively?
Options:
A)$55, $85, $40
B)$85, $25, $20
C)$65, $55, $90
D)$65, $60, $60
E)$25, $60, $70
Rationale: Since Samantha owns equal amounts of stocks, the 10% increase alone should set off the 10% and 15%decrease in each of the other two stocks. i.e The stock which increased should have a substantially higher value than the two stocks which decreased. Between B and D, D is obviously the safer bet and is the right answer.
Answer is B.
Answer: B
Question: Statements: In a one day cricket match, the total runs made by a team were 200. Out of these 160 runs were made by spinners. Conclusions: 1) 80% of the team consists of spinners. 2) The opening batsmen were spinners.
Options:
A)Only conclusion I follows
B)Only conclusion II follows
C)Either I or II follows
D)Neither I nor II follows
E)Both I and II follow
Rationale: According to the statement, 80% of the total runs were made by spinners. So, I does not follow. Nothing about the opening batsmen is mentioned in the statement. So, II also does not follow.
D
Answer: D
Question: Sum of two numbers is 10. Two times of the first exceeds by 5 from the three times of the other. Then the numbers will be?
Options:
A)A)7
B)B)9
C)C)11
D)D)13
E)E)15
Rationale: Explanation:
x + y = 10
2x – 3y = 5
x = 7 y = 3
A)
Answer: A
Question: In a Festival season Director informed his 15 staffs with their family to go for a one day tour. Some ladies are married and some are unmarried and some having their Kids. Director & 6 staffs are married with 1 kid each. Total how many members in the Vehicle?
Options:
A)21
B)30
C)40
D)25
E)29
Rationale: Married Staffs with their family = 6 X3 = 18 persons
Director with family = 1x3 = 3 persons
Unmarried staffs = 9
Total persons = 30
Answer is B
Answer: B
Question: George can do 3/5 of work in 9days.He then calls in pauls and they completed the work in 4days.How long paul would take long to complete the work?
Options:
A)32
B)28
C)35
D)30
E)22
Rationale: George work is (5/3)*9 =15;
1 day work of george is 1/15 ;
remaining is 2/5th;
paul & george work is 5/2*4=10 ;
their 1 day work is 1/10;
and only paul work is (1/10)-(1/15)=30
ANSWER:D
Answer: D
Question: The value of 40 coins of 10 p and 20 p is Rs. 5.50. The number of 20 p coins is
Options:
A)15
B)25
C)30
D)35
E)40
Rationale: Let the number of 20 paise coins be x.
Then, number of 10 paise coins = (40 – x).
10(40 – x) + 20x = 550 or 10x = 150 or x = 15.
ANSWER:A
Answer: A
Question: If 20 men can build a wall 66 metres long in 15 days, what length of a similar can be built by 86 men in 8 days?
Options:
A)151.36 mtrs
B)378.4 mtrs
C)478.4 mtrs
D)488.4 mtrs
E)578.4 mtrs
Rationale: If 20 men can build a wall 66 metres long in 15 days,
length of a similar wall that can be built by 86 men in 8 days = (66*86*8)/(15*20) = 151.36 mtrs
ANSWER:A
Answer: A
Question: There are r red ball, b blue ball and w white ball in a bag. What is the ratio of the number of blue ball to the total no. of ball in terms of r, b and w.?
Options:
A)r / (r + b + w)
B)r * (r + b + w)
C)(r + b + w)
D)r / (r + b )
E)r / (b + w)
Rationale: The total number of marbles is
r + b + w
The total ratio of blue marbles to the total number of marbles is
r / (r + b + w)
A
Answer: A
Question: Becky sets up a hot dog stand in her busy neighborhood and purchases x pounds of hot dogs for u dollars per pound. If she has to throw away s pounds of hot dogs due to spoilage and she sells the rest of the hot dogs for d dollars per pound, which of the following represents the net profit on the sale of the hot dogs?
Options:
A)(x – s)u – sd
B)xu – (xd – sd)
C)xd – su
D)(x – s)d – xu
E)(s – u)d – xu
Rationale: Answer D:
The amount of hotdogs she can sell is x-s. The price per pound is d, so the revenue is (x-s)d. The total costs are x time u, so the profit is (x-s)d-xu.
Answer: D
Question: A man swims downstream 30 km and upstream 18 km taking 6 hours each time, what is the speed of the man in still water?
Options:
A)7
B)8
C)5
D)2
E)4
Rationale: 30 --- 6 DS = 5
? ---- 1
18 ---- 6 US = 3
? ---- 1 M = ?
M = (5 + 3)/2 = 4
Answer:E
Answer: E
Question: A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
Options:
A)1.5
B)2.8
C)5.8
D)3.4
E)2.3
Rationale: 72 --- 9 DS = 8
? ---- 1
45 ---- 9 US = 5
? ---- 1 S = ?
S = (8 - 5)/2 = 1.5
Answer: B
Answer: B
Question: Eight people went to a restaurant for dinner. Seven of them spent $6 each on their meals and the eighth spent $14 more than the average expenditure of all eight people. What was the total amount of money that the eight people spent?
Options:
A)$56
B)$60
C)$64
D)$68
E)$72
Rationale: Let T be the total amount of money spent.
7*6 + (T/8 + 14) = T
56 = 7T/8
T = (8*56)/7 = 64
The answer is C.
Answer: C
Question: When the sum of two numbers is multiplied by 5, the product is divisible by 15. Which one of the following pairs of numbers satisfies the above condition?
Options:
A)240, 355
B)250, 341
C)245, 342
D)250, 261
E)NOne
Rationale: Sol.
Clearly, 5 x (sum of numbers) is divisible by 15.
∴ Sum of numbers must be divisible by 3.
Now, (250+341) = 591 is divisible by 3. So, required pair is 250, 341.
Answer B
Answer: B
Question: A person borrows Rs. 6000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6 p.a for 2 years. Find his gain in the transaction per year.
Options:
A)120 rs
B)150 rs
C)160 rs
D)180 rs
E)200 rs
Rationale: Gain in 2 years =
[(6000*6*2)/100]-[(6000*4*2)/100]
720-480=240
Gain in 1 year =(240/2)=120 rs
ANSWER:A
Answer: A
Question: he average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person ?
Options:
A)75 kg
B)55 kg
C)45 kg
D)85 kg
E)25 kg
Rationale: Explanation:
Total weight increased = (8 x 2.5) kg = 20 kg.
Weight of new person = (65 + 20) kg = 85 kg.
Answer: D
Answer: D
Question: If w = 9/25, m = 15/32, and m + w + c = 1, which of the following gives the values of m, w, and c in increasing order?
Options:
A)c, m, w
B)c, w, m
C)m, w, c
D)w, c, m
E)w, m, c
Rationale: Answer B - c, w, m
w ~ 1/3
m ~ 1/2
and m+w+c = 1 hence c ~ 1/6
Hence increasing order would be c -> w -> m
Answer B
Answer: B
Question: Convert 20miles into yards?
Options:
A)25630 yards
B)35200 yards
C)39520 yards
D)42560 yards
E)41520 yards
Rationale: 1 mile = 1760 yards
20 miles = 20*1760 = 35200 yards
Answer is B
Answer: B
Question: If 1 kilometer is approximately 0.6 mile, which of the following best approximates the number of kilometers in 3 miles?
Options:
A)12/3
B)1/3
C)9/5
D)2/3
E)4/3
Rationale: 1 km is approxmately equal to 0.6 miles
So 3 km = 3*0.6 = 1.8 miles . Multiple & divide by 10
i.e 1.8*10/10 = 18/10 = 9/5
Answer : C
Answer: C
Question: A coin is tossed live times. What is the probability that there is at the least one tail?
Options:
A)31/32
B)31/38
C)31/36
D)31/34
E)34/32
Rationale: Let P(T) be the probability of getting least one tail when the coin is tossed five times.
= There is not even a single tail.
i.e. all the outcomes are heads.
= 1/32 ; P(T) = 1 - 1/32 = 31/32.
Answer:A
Answer: A
Question: A customer using a certain telephone calling plan pays a fee of $25 per month, and then receives a discount of 40% on the regular charge for all calls made to country R. If calls to country R are regularly charged at $1.60 per minute for the first 3 minutes, and $0.80 per minute for each minute thereafter, what is the maximum the customer could have saved over regular prices if he was charged for 1 hour of calls made to country R in a certain month?
Options:
A)$8.75
B)$12
C)$13.40
D)$17.40
E)$24.40
Rationale: Discount = 40% of spending
We want to maximise discount so we will need to maximise spending. We do that by assuming that 60 calls were made of 1 min each because the first minute is the most expensive.
Max discount = (40/100)* 60 * 1.6 = (40/100)*96
This would be slightly less than 40. About 38 to 39.
Saving = (Slightly less than 40) - 25 = Slightly less than 15 charged in R country
Answer (C)
Answer: C
Question: 20 litres of mixture of acid and water contain 10% water. How much water should be added so that percentage of water becomes 20% in this mixture?
Options:
A)2 L
B)3 L
C)2.5 L
D)4 L
E)5 L
Rationale: total mixture =20ltr
water contain = 10% of 20ltr => 2ltr water
it means 18ltr is acid in that mixture
we have to make 20% water so..20% of 20 = 4ltr water must be there in the new mixture
we have already 2 ltr water so we have to add 2 ltr more
ANSWER:A
Answer: A
Question: Due to construction, the speed limit along an 4-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 ?
Options:
A) 5
B) 8
C) 10
D) 15
E) 2
Rationale: 4/35 - 4/55 = 4/5 * ( 11 - 7)/77
= 4/5 * 4/77 * 60 min
= 4 * 12 * 4/77
= 192/77 ~ 2.4
Answer - E
Answer: E
Question: The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8400. If his salary for the month of May is Rs.6500, find his salary for the month of January?
Options:
A)s.4580
B)s.4570
C)s.4500
D)s.4550
E)s.4900
Rationale: Sum of the salaries of the person for the months of January, February, March and April
= 4 * 8000 = 32000 ----(1)
Sum of the salaries of the person for the months of February, March, April and May
= 4 * 8400
= 33600 ----(2)
(2)-(1) i.e. May - Jan = 1600
Salary of May is Rs.6500
Salary of January = Rs.4900
Answer:E
Answer: E
Question: Q is a set of four distinct prime numbers. If the sum of the integers in Q is even and the number x is a member of Q, then what is the least value that x can be?
Options:
A)2
B)3
C)4
D)5
E)7
Rationale: Sum of 4 prime integers is Even
So all four integers should be odd numbers as including 2 in the set will make the sum Odd
Smallest odd prime number is 3
So Answer: B
Answer: B
Question: In how many ways can 5 boysand 2 girls be arranged at a table if 2 girls are never together?
Options:
A)350
B)390
C)400
D)420
E)480
Rationale: Total ways of arranging 7 person in a circle = 6! = 720 ways
If we consider two women as one, then we have 5+1=6 persons. Arranging these six persons in circle will take = 5! = 120 ways
And two women can arrange themselves in 2! ways
Total ways in which two women sit together in circle = 5!*2! = 240 ways
Total ways in which two women doesn’t sit together in circle = 6! - 5!*2! = 720 - 240 = 480 ways
E
Answer: E
Question: The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.3.50 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
Options:
A)s.1014
B)s.1140
C)s.999
D)s.1085
E)s.2331
Rationale: a2 = 3136 => a = 56
56 * 4 * 3 = 672 – 6 = 666 * 3.5 = 2331
ANSWER:E
Answer: E
Question: Evaluate: 60 - 9÷3×6 =
Options:
A)52
B)18
C)42
D)102
E)36
Rationale: According to order of operations, 9÷3×6 (division and multiplication) is done first from left to right
9÷3×6 = 3 × 6 = 18
Hence
60 - 9÷3×6 = 60 - 18 = 42
correct answer C)42
Answer: C
Question: On tuesday, the original price of a shirt was discounted by 20%. On Monday, the price of the shirt was marked up H percent so that the new price on Monday was 20% more than the original price before the discount. What is the value of H?
Options:
A)20%
B)30%
C)33 1⁄3%
D)40%
E)50%
Rationale: Let the original price be 100
discounted Price = 80
New Price = 20 +100 =120
H=(40/80)*100
Ans:E
Answer: E
Question: A,B,C invested the capitals in a business. If A invested Rs. 20,000 more than B and C invested Rs.10,000 more than A, then how should a profit of Rs.14,000 be divided among A,B and C? Given : Capital of B is Rs.10,000
Options:
A)5500, 2500, 6000
B)5200, 2800, 6000
C)4250, 2250, 7500
D)5250, 1750, 7000
E)5300, 2700, 6000
Rationale: A==30,000
B==10,000
C==40,000
so, ration are3:1:4
profit 14000
so,, 14000/8==1750
so,, A==5250, B==1750,, C==7000
ANSWER:D
Answer: D
Question: If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is?
Options:
A)827 m
B)876 m
C)200 m
D)256 m
E)197 m
Rationale: 2(l + 100) = 600
=> l = 200 m
Answer: C
Answer: C
Question: Find the unit's digit in 264^102+264^103
Options:
A)0
B)1
C)2
D)3
E)5
Rationale: Required unit's digit = unit's digit in 4102+4103.4102+4103.
Now, 4242 gives unit digit 6.
⇒ 41024102 gives unit digit 6.
⇒ 41034103 gives unit digit of the product 6×46×4 i.e., 4.
Hence, unit's digit in 264102+264103264102+264103
= unit's digit in (6+4)=0
A
Answer: A
Question: Kim has 7 pairs of shoes; each pair is a different color. If Kim randomly selects 2 shoes without replacement from the 14 shoes, what is the probability that she will select 2 shoes of the same color?
Options:
A)2/5
B)1/5
C)1/9
D)1/10
E)1/13
Rationale: Total pairs = 14C2 = 91; Same Color Pairs= 7C1*1C1=7; Prob = 1/13
Ans E
Answer: E
Question: When Tom works alone he chops 3 lb. salad in 2 minutes, and when Tammy works alone she chops 2 lb. salad in 3 minutes. They start working together, and after some time finish chopping 65 lb. of salad. Of those 80 lb., the salad quantity chopped by Tom is what percent greater than the quantifying chopped by Tommy?.
Options:
A)44%
B)100%
C)125%
D)225%
E)400%
Rationale: Tammy chops 4 lbs in 6 minutes
Tom chops 9 lbs in 6 minutes
So in the same amount of time, Tammy chops 125% more than Tom, since 9 is 125% greater than 4. So 125% is the answer.
Note that the actual time doesn't matter. If you multiply the time each work by x, you'll multiply the work each does by x, and 9x is still 125% greater than 4x.
Ans :C
Answer: C
Question: At what price must an article costing Rs.47.50 be marked in order that after deducting 6% from the list price. It may be sold at a profit of 25% on the cost price?
Options:
A)63.16
B)62.6
C)62.1
D)62.7
E)62.2
Rationale: CP = 47.50
SP = 47.50*(125/100) = 59.375
MP*(94/100) = 59.375
MP = 63.16
Answer: A
Answer: A
Question: A car started running at a speed of 30 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 8 hours of the journey.
Options:
A)296 km
B)352 km
C)642 km
D)742 km
E)382 km
Rationale: The total distance covered by the car in the first 8 hours = 30 + 32 + 34 + 36 + 38 + 40 + 42 + 44 = sum of 8 terms in AP whose first term is 30 and last term is 44 = 8/2 [30 + 44] = 296 km.
ANSWER:A
Answer: A
Question: A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat in still water and stream is
Options:
A)3:1
B)1:3
C)2:4
D)4:2
E)None of these
Rationale: Explanation:
Let speed downstream = x kmph
Then Speed upstream = 2x kmph
So ratio will be,
(2x+x)/2 : (2x-x)/2
=> 3x/2 : x/2 => 3:1
Option A
Answer: A
Question: 20 is subtracted from 80% of a number, the result is 60. Find the number?
Options:
A)150
B)997
C)100
D)288
E)271
Rationale: (80/100) * X – 20 = 60
8X = 800
X = 100
Answer:C
Answer: C
Question: The ages of 2 persons differ by 18 years. If 12 years ago the elder one be 6 times as old as the younger one, find the present age of elder person.
Options:
A)33.6
B)47
C)50.4
D)52.4
E)47.9
Rationale: age of the younger person = x
age of the elder person = x+18
6(x-12) = x+18-12
x= 15.6
age of elder person = 15.6+18=33.6
Answer is A
Answer: A
Question: How many 3-digit numerals begin with a digit that represents a odd prime and end with a digit that represents a prime number?
Options:
A)16
B)80
C)160
D)120
E)240
Rationale: prime digits 2,3,5 and 7.
three digit numbers _ _ _
1st place can be filled in 3 ways
2nd place can be filled in 10 ways
3rd place can be filled in 4 ways
Total=3*10*4=120
Ans : D
Answer: D
Question: X is a set containing 8 different positive odd numbers. Y is a set containing 7 different numbers, all of which are members of X. Which of the following statements CANNOT be true?
Options:
A)The range of Y is even.
B)The mean of X is even.
C)The mean of Y is even.
D)The range of X is equal to the range of Y.
E)The median of Y is equal to the mean of Y.
Rationale: Option C.
Given: X is a set containing 8 different positive odd numbers
Easily inferred: Y is a set containing 7 different odd numbers
(A) The range of Y is even. - Always even, since it is a difference of two odd numbers
(B) The mean of X is even. - can be. suppose 8 numbers consist of 4 pairs of (16n-1,16n+1) for different values of n. Adding these will give a multiple of 16, which when divided by 8 (to arrive at mean), will give an even number
(C) The mean of Y is even. - Cannot be. Mean = (sum of 7 odd numbers)/7 = Odd number/odd number thus cannot be even.
(D) The range of X is equal to the range of Y.
(E) The median of Y is equal to the mean of Y
C
Answer: C
Question: If x > 1, which of the following decreases as x decreases?
I. 1/(x + x^2)
II. 2x^2 − x
III. 1/(x + 1)
Options:
A)I only
B)II only
C)III only
D)I and II only
E)II and III only
Rationale: let x= 4 and 3 b old and new values
ST1: x= 4 -> 4+16 =1/ 20
x=3-> 3+9 = 1/12 ...increased
ST2:x= 4-> 2*16-4 = 28
x=3->2*9-3 = 15
decreased
St3: x=4-> 1/4 = .25
x=3->1/3 = .33
Ans: B
Answer: B
Question: A watch passes through three hands and each person gains 25%. If the third person sells it for $187.50, what did the first person pay for it?
Options:
A)$84
B)$88
C)$92
D)$96
E)$100
Rationale: 1.25*1.25*1.25 * original price = 187.5
(5/4)^3 * original price = 187.5
original price = 64*187.5 / 125 = $96
The answer is D.
Answer: D
Question: There are 18 stations between Hyderabad and Bangalore. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
Options:
A)827
B)234
C)246
D)346
E)380
Rationale: The total number of stations = 20
From 20 stations we have to choose any two stations and the direction of travel (i.e., Hyderabad to Bangalore is different from Bangalore to Hyderabad) in ²⁰P₂ ways.
²⁰P₂ = 20 * 19 = 380.
Answer: E
Answer: E
Question: One ton has 2500 pounds, and one pound has 16 ounces. How many packets containing wheat weighing 16 pounds and 4 ounces each would totally fill a gunny bag of capacity 13 tons?
Options:
A) 2000
B) 1700
C) 2350
D) 2500
E) 8000
Rationale: 16 pounds and 4 ounces= 16*16 + 4 = 260 ounces.
13 tons = 13*2500 pound = 13*2500*16 ounces.
Hence the answer is (13*2500*16)/260 =2000.
Answer: A.
Answer: A
Question: 96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
Options:
A)66
B)26
C)42
D)27
E)11
Rationale: x/7 = y/9 => x:y = 7:9
7/16 * 96 = 42
Answer: C
Answer: C
Question: x, y, a, and b are positive integers. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 10. Which of the following is NOT a possible value for y + b?
Options:
A)24
B)21
C)20
D)16
E)15
Rationale: Important note: remainder is ALWAYS less than divisor, thus y>6 and b>10 --> y+b>16.
Answer: D.
Answer: D
Question: A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 360 m long platform?
Options:
A)19
B)27
C)29
D)48
E)28
Rationale: Let the length of the train be x m.
When a train crosses an electric pole, the distance covered is its own length.
So, x = 12 * 36 * 5 /18 m = 120 m.
Time taken to cross the platform = (120 +360)/ 36 * 5/18
= 48 min.
Answer:D
Answer: D
Question: At a certain laboratory, chemical substance are identified by an unordered combination of three different colors. If no chemical may be assigned the same three colors as any other, what is the maximum number of substances that can be identified using six colors?
Options:
A)20
B)35
C)105
D)135
E)210
Rationale: The prompt tells us that substance is identified by an UNORDERED combination of 3 colors and that no chemical may be assigned the same 3 colors as any other chemical.
As an example, a chemical with the colors A/B/C means that the following combinations CANNOT be used by any other chemical:
ABC
ACB
BAC
BCA
CAB
CBA
By extension, the first part of your calculation would be the number of possible substances that could be identified with 6 colors: 6c3 = 20 possible substances
A
Answer: A
Question: Lane can make a handcrafted drum in 4 weeks. Zane can make a similar handcrafted drum in 6 weeks. If they both work together, how many weeks will it take for them to produce 15 handcrafted drums?
Options:
A)30
B)36
C)70
D)80
E)150
Rationale: Method I: the rates solution
“Lane can make a handcrafted drum in 4 weeks. Zane can make a similar handcrafted drum in 6 weeks.” Lane’s rate is (1 drum)/(4 weeks) = 1/4. Zane’s rate is (1 drum)/(6 weeks) = 1/6. The combined rate of Lane + Zane is
R = 1/4 + 1/6 = 3/12 + 2/12 = 5/12
That’s the combined rate. We need to make 15 drums — we have a rate and we have an amount, so use the “art” equation to solve for time:
T = A/R = 15/(5/12) = 15*(12/5) = (15/5)*12 = 3*12 = 36
BTW, notice in the penultimate step, the universal fraction strategy: cancelbeforeyou multiply (Tip #3:http://magoosh.com/gmat/2012/can-i-use- ... -the-gmat/. Lane and Zane need 36 weeks to make 15 drums.
Answer = B.
Answer: B
Question: Two trains are approaching each other at 60 mph each. The length of each train is 1/6 miles. When
the two locomotives(engines) meet, how many seconds will it take for them to pass each other
completely?
Options:
A)15 sec
B)12 sec
C)10 sec
D)18 sec
E)None of these
Rationale: Explanation :
Total distance to cover = 2*(1/6) = 2/6 miles
Relative speed = 60+60 = 120mph
Time taken = (2/6)/120*3600 = 10 sec.
Hence (C) is the answer.
Answer : C
Answer: C
Question: There are 14 people in a room. If each person shakes hands with exactly 3 other people, what is the total number of handshakes?
Options:
A)18
B)21
C)35
D)42
E)56
Rationale: Note that each handshake includes two people.
The total number of handshakes is 14*3/2 = 21
The answer is B.
Answer: B
Question: How many numbers between 100 and 900 begin or end with 3?
Options:
A)80
B)100
C)150
D)170
E)190
Rationale: How many numbers between 100 and 900 begin or end with 3?
Just think that those numbers are:
i) The ones ending in 3: 103, 113, 123, ... , 893 --> 80 numbers
ii) The ones beginning in 3: 300, 301, 302, 303, ... , 393, ... , 399 --> 100 numbers
BUT 10 out of the first 80 numbers are repeated in the second set.
THEREFORE, the solution is 170 numbers.
Answer: D
Answer: D
Question: If 4x + y = 12 and −x + y = 44, then what is the value of 3x + 2y?
Options:
A)1/7
B)3
C)15
D)52/7
E)56
Rationale: 4x + y = 12
−x + y = 44
Adding both the equations --> 3x + 2y = 56
Answer: E
Answer: E
Question: A box contains ten bulbs out of which 5 are defective. If five bulbs are chosen at random, find the probability that atleast one bulb is good
Options:
A)225/226
B)225/229
C)225/228
D)225/224
E)251/252
Rationale: Required probability = 1- 5C5/10C5=1 - 1/252 = 251/252.Answer:E
Answer: E