MU-NLPC/Calc-aqua_rat huggingface dataset:
One card is randomly drawn from a pack of 52 cards. What is the probability that the card drawn is a face card(Jack, Queen or King) Choose the correct answer.
A) 1/15 B) 2/74 C) 4/18 D) 3/13 E) 9/15

Solution: Explanation :   Total number of cards, n(S) = 52   Total number of face cards, n(E) = 12   P(E)=n(E)/n(S)=12/52=3/13   3/13
Answer: D
A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:	Choose the correct choice from the following answers:
A) 12 kg
B) 60 kg
C) 72 kg
D) 88 kg
E) 96 kg

Solution: Volume of water displaced	= (3 x 2 x 0.01) m3   = 0.06 m3.   Mass of man	= Volume of water displaced x Density of water   = (0.06 x 1000) kg   = 60 kg.   Answer: Option 60 kg
Answer: B
3 Years ago, the average age of a family of 5 members was 19 years. A baby having been born, the average age of the family is the same today. The present age of the baby is	Options:
A) 1 year.  B) 1.5 Years.  C) 2 Years.  D) 3 Years.  E) 4 Years.

Solution: We're told that 3 YEARS AGO, the average age of a family of 5 members was 19 years.   This means that the SUM of their ages was (5)(19) = 95 years.   A baby was born (meaning that there are now 6 family members). We're told that the PRESENT average age of the family members is the SAME.   This means that the sum of the ages is (6)(19) = 114 years.   We're asked for the PRESENT age of the baby.   Since each of the original 5 family members has aged 3 years since the initial average was calculated, the sum of their PRESENT ages is...   95 + (5)(3) = 110.   114-110= 
114-110 = 4
4   4 Years.
Answer: E
By travelling at 30 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? Choose the correct choice from the following answers:
A) 19 kmph	B) 15 kmph	C) 12 kmph	D) 20 kmph	E) 23 kmph

Solution: Let the time taken to reach the destination be 3x hours. Total distance = 30 * 3= 
30 * 3 = 90
90x km   He covered 2/3 * 90= 
2/3 * 90 = 60
60x km in 1/3 * 3x= x hours So, the remaining 30x km, he has to cover in 2x hours. Required speed = 30x/2x   =15 kmph.   Answer: 15 kmph30 /2= 
30 /2 = 15
15 kmph.   Answer: 15 kmph
Answer: B
A grocery store has a surplus of cakes, so they price them at 10% off the wholesale price of $8.50. An employee uses their employee discount to get a further 10% discount off a cake. How much does that employee pay? Round your answer to the nearest hundredth decimal place. Answers: A) $7.00 B) $6.80 C) $6.89 D) $7.65 E) $6.88

Solution: Wholesale price of cake = $8.50   $6.89ake was priced at 10% below $8.50 = $7.65   % discount given by employee discount = 10%   Employee paid = .9 * 7.65= 
.9 * 7.65 = 6.885
$6.885   Rounded to nearest hundredth= $6.89   Answer $6.89
Answer: C
The current birth rate per certain number of people is 52, whereas corresponding death rate is 16 per same number of people. If the net growth rate in terms of population increase is 1.2 percent, find number of persons.(initally)
Pick:
A) 4000
B) 2000
C) 3000
D) 5000
E) 1000

Solution: Sol.   Net growth on X = (52- 16)= 
(52- 16) = 36
36.   Net growth on 100= (36/X Ã— 100)% =1.2%. Then X = 3000   Answer:3000
Answer: C
The difference between two numbers is 1365. When the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number is Options.
A) 240 B) 250 C) 260 D) 270 E) None

Solution: Solution   Let the numbers be x and x(x+1365).   Then, x+1365   = 6x + 15   ‹=›5x = 1350.   ‹=›x = 270.   Answer 270
Answer: D
Which of the following CANNOT be a value of 4/(x–4)?
Choices
A) -1
B) -1/2
C) 0
D) 2
E) 6

Solution: The question doesn't ask for the value of x here, but for the possible results of the equation.   If 4/(x-4) = 0, then the numerator must be 0. But since the numerator is 4, the fraction can not be equal to 0.   The answer is 0.
Answer: C
Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is
Pick one.
A) 4 days  B) 6 days  C) 10 days  D) 16 days  E) 22 days

Solution: Ratio of times taken by Sakshi and Tanya = 125 : 100 = 5 : 4.   Suppose Tanya takes x days to do the work.   5 : 4 :: 20 : x x = 4 x 20/5   x = 16 days.   Hence, Tanya takes 16 days to complete the work. answer :16 days
Answer: D
One night a certain hotel rented 2/3 of its rooms, including 2/3 of their air conditioned rooms. If 3/5 of its rooms were air conditioned, what percent of the rooms that were not rented were air conditioned?  Options:  A) 50%  B) 60%  C) 65%  D) 70%  E) 75%

Solution: The rooms which were not rented is 1/3   The AC rooms which were not rented is (1/3)*(3/5) = 1/5   The percentage of unrented rooms which were AC rooms is (1/5) / (1/3) = 3/5 = 60%   The answer is 60%.
Answer: B
Speed of a man with current measures 15 km/hr. Speed of current is 2.5 km/hr. What is the speed of man against the current?  Choose the correct choice from the following:  A) 12.5 kmph  B) 10 kmph  C) 9 kmph  D) 8.5 kmph  E) None of these

Solution: Explanation:   Let the speed of man in still water be x km/hr   Now, speed with current=15 km/hr   Speed of current: 2.5 km/hr   Speed of man with current: Speed of man in still water+Speed of current   =>15=x+2.5   =>x=12.5   Speed of man against the current: Speed of man in still water-Speed of current   =>12.5-2.5= 
12.5-2.5 = 10
>10 km/hr   ANSWER 10 kmph
Answer: B
2+3=8,
3+7=27,
4+5=32,
5+8=60,
6+7=72,
7+8=??
Solve it?  Pick one.
A) 59	B) 65	C) 87	D) 72	E) 98

Solution: 2+3=2*[3+(2-1)]=8   3+7=3*[7+(3-1)]=27   4+5=4*[5+(4-1)]=32   5+8=5*[8+(5-1)]=60   6+7=6*[7+(6-1)]=72   therefore   7+8=7*[8+(7-1)]=98   x+y=x[y+(x-1)]=x^2+xy-x
Answer: E
The length of a rectangular hall is 5 m more than its breadth. The area of the hall is 7502. The length of the hall is : Choose the correct option:
A) 15m B) 22.5m C) 25m D) 30m E) None of these

Solution: Solution   Let breadth = x metres. Then, length = (x + 5) metres.   Then, x(x + 5) = 750 ⇔ x2 + 5x - 750 = 0 ⇔ (x + 30) (x - 25) = 0 ⇔ x = 25.   ∴ Length = (x + 5) = 30 m Answer 30m
Answer: D
The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream? Choose the correct option:
A) 10	B) 99	C) 77	D) 62	E) 12

Solution: Speed of the boat in still water = (60+80)/2= 
(60+80)/2 = 70
70 kmph. Speed of the stream= (80-60)/2= 
(80-60)/2 = 10
10 kmph.   10nswer: 10
Answer: A
A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
Choose the correct choice from the following answers
A) 6
B) 8
C) 9
D) 7
E) 5

Solution: 30 --- 3 DS = 10   ? ---- 1   18 ---- 3 US = 6   ? ---- 1 M = ?   M = (10 + 6)/2= 
(10 + 6)/2 = 8
8   Answer: 8
Answer: B
A is twice as good a workman as B and they took 5 days together to do the work B alone can do it in? Choose the correct choice:
A) 15 days B) 88 days C) 21 days D) 11 days E) 13 days

Solution: WC = 2:1   2x + x = 1/5   x = 1/15 => 15 days   15 daysnswer: 15 days
Answer: A
A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. What is the share of B in the profit.
Choose the correct option.
A) 2610	B) 2650	C) 2630	D) 2670	E) 2660

Solution: A is a working member and for that, he receives 5% of the profit   = 5% of 7400 =5×7400/100=370   Remaining amount =7400−370=7030   Ratio of their investments   =6500×6:8400×5:10000×3   =65×6:84×5:100×3   =13×6:84:20×3   =13×2:28:20   =13:14:10   Share of B in the profit   =7030×14/37   =190×14=2660   Answer is 2660.
Answer: E
A can complete the job in 6 hours and B can complete the same job in 3 hours. A works for 1 hour and then B joins and both complete the job. What fraction of the job did B complete  Choose the correct choice from the following answers.
A) 1/9	B) 3/10	C) 1/2	D) 5/6	E) 8/9

Solution: 1/9=1/9
Answer: A
A pump can fill a tank with water in 3 hours. Because of a leak, it took 7 hours to fill the tank. The leak can drain all the water in ?  Pick one.
A) 15hr 10min  B) 16hr 20min  C) 5hr 15min  D) 15hr  E) 14hr 25min

Solution: Work done by the leak in 1 hour = 1/3 - 1/7 = 4/21   Leak will empty the tank in 21/4 hrs = 5hr 15min   Answer is 5hr 15min
Answer: C
The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period(in years) is? Pick:
A) 2	B) 2 1/2	C) 3	D) 4	E) 5

Solution: Explanation:   Amount = (30000 + 4347) = Rs. 34347   Let the time be n years. Then,   30000(1 + 7/100)n = 34347   = (107/100)n = 34347/30000 = (107/100)2   n = 2 years.   2NSWER IS 2
Answer: A
The first term in a sequence is 1 and the second term is 9. From the third term on each term is the average (arithmetic mean) of all preceding terms. What is the 28th term in the sequence?
Choose the correct choice from the following answers:
A) 4
B) 5
C) 9
D) 28
E) 50

Solution: The third term is 5 since this is the average of 1 and 9.   Then the next terms will all be 5 since the average stays at 5.   The answer is 5.
Answer: B
At Ram's party, there were five times as many females as males. There were three times as many adults as children. Which of the following could NOT be the number of people at the party? Choose one:
A) 384  B) 258  C) 216  D) 120  E) 72

Solution: we have to work on the info and understand what that info takes us to...   1) there were five times as many females as males At Ram's party..   this means F=5M.. so total number=6M..   2) There were three times as many adults as children..   A=3C...   or total = 4C..   so the total is 4C or 6M..   since C and M have to be positive integers, we can say for sure that Total is a multiple of 4 and 6..   or Total is multiple of LCM of 4,6..   LCM of 4,6= 12..   lets see which number is not multiple of 12..   A. 384...12*32   B. 258... no   C. 216....12*18   D. 120....12*10   E. 72......12*6..   so 258 is our answer..
Answer: B
If p is the sum of x consecutive positive integers. q is the sum of y consecutive positive integers. For which of the following values of x and y is it impossible that p = q?
Choose the correct choice from the following choices:	A) x = 2 and y = 6	B) x = 3 and y = 6	C) x = 7 and y = 9	D) x = 10 and y = 7	E) x = 10 and y = 4

Solution: I approached this in a different way, although may be longer but it's certainly more intuitive   It is impossible that p = q if one of them is necessarily even while the other is necessarily odd   for two consecutive integers the sum is necessarily odd   for six consecutive integers the sum is necessarily odd (sum of 3two consecutive integers which are all odd)   Thus A is incorrect.   The sum of 3 consecutive integers can be even or odd (an odd integer from the first 2 + an additional integer which can be even or odd). Thus B is incorrect. You can do a similar approach for C and D (it follows that the sum of a specified odd number of consecutive integers can be odd or even).   Leaving us with E to be the only not-wrong answer. To confirm, you can easily deduce that the sum of 4 consecutive integers (sum of 2 odd integers) is necessarily even while the sum of 10 consecutive integers (sum of 5 odd integers) is necessarily odd. Thus x = 10 and y = 4 is the right answer.
Answer: E
In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is Choose the correct choice from the following
A) 3 hr.	B) 5 hr.	C) 2 hr.	D) 7 hr.	E) 1 hr.

Solution: E   1 hr.   Let the duration of the flight be x hours.   Then, 600/x - 600/0.5x = 200   --> 600/x - 1200/(2x+1) = 200   --> x(2x + 1) = 3   --> 2x^2 + x - 3 (2  + 1)= 
(2  + 1) = 3
3   --> 2x^2 + x - 3= 0   --> (2x + 3)(x - 1) = 0   --> x = 1 hr.
Answer: E
Two numbers are such that the ratio between them is 4 : 7. If each is increased by 4, the ratio becomes 3 : 5. The larger number is
Choose the correct answer: A) 36 B) 46 C) 56 D) 64 E) None

Solution: Sol.   Let the numbers be 4x and 7x.   Then, 4x+4 / 7x+4 = 3/5   ⇔ 5(4x+4) = 3(7x+4)   ⇔ x = 8.   ∴ Larger number = 7x = 56.   Answer 56
Answer: C
If the charge of staying in a student youth hostel $18.00/day for the first week, and $11.00/day for each additional week, How much does it cost to stay for 23 days?  Select
A) $160
B) $176
C) $282
D) $302
E) $286

Solution: Total number of days of stay = 23   Charge of staying in first week = 18*7= 
18*7 = 126
126 $   Charge of staying for additional days=(23-7)*11 = 16*11= 
16*11 = 176
176 $   Total charge=126 +176= 
126 +176 = 302
302$   Answer $302
Answer: D
Which fraction will come next, 1/2,3/4,5/8,7/16,?
Pick: A) 9/30 B) 11/32 C) 9/28 D) 9/32 E) 9/28

Solution: Numerators are getting increased by 2. i.e., numerators goes like 1,3,5,7,...   Hence, next numerator = 7+2= 
7+2 = 9
9   Denominators are getting multiplied by 2. i.e., denominators goes like 2,4,8,16,...   Hence, next denominator= 16×2 = 32   So, the next fraction is 9/32
Answer: D
Cindy is thinking of a number which is 4 less than the square of a positive integer. The number
has the property that it has two 2-digit prime factors. What is the smallest possible value of
Cindy's number?
Choose the correct choice from the following answers.
A) 221
B) 231
C) 241
D) 251
E) 261

Solution: Let x be Cindy's number. Then x = n2-4 = (n-2)(n+2) for some positive integer   n. Since n + 2 and n - 2 differ by 4, our goal is hence to find two 2-digit prime numbers which   dier by 4. By writing the first few prime numbers, we find that the pair (13,17) is the smallest   pair possible, which gives us a value of 13 * 17= 
13 * 17 = 221
221 .   correct answer 221
Answer: A
If x, y, and z are consecutive odd integers, with x < y < z, then which of the following must be true?
I. x + y + z is even
II. (x+y)/z is an integer
III. xz is even Options.
A) I only
B) II only
C) III only
D) I and II only
E) None of the above

Solution: consecutive odds are:   2x+1, 2x+3, 2x+5   I. 2x+1+2x+3 +2x+5 =6x+9=3(2x+3), 2x+3 is not divisible by 2 - NOT TRUE   II. 2x+1+2x+3=4x+4/2x+5=2(2x+2)/(2x+5)=Not an integer, so NOT TRUE   III. (2x+1)*(2x+5)=4x^2+10x+2x+5=4x^2+12x+5=(2x(x+6)+5)/2 is not integer, so NOT TRUNone of the above   ANSWNone of the aboveR:None of the above
Answer: E
Find the area of circle whose radius is 28m?
Select the correct option:
A) 2464 B) 1543 C) 7675 D) 1683 E) 1784

Solution: 22/7 * 28 * 28= 
22/7 * 28 * 28 = 2_464
2464   2464nswer: 2464
Answer: A
The difference between the ages of two persons is 30 years. Fifteen years ago, the elder one was twice as old as the younger one. The present age of the younger person is?  Choose the correct option:
A) 30yr
B) 25yr
C) 45yr
D) 40yr
E) 50yr

Solution: Let their ages be x years and (x+30) years   Then, (x+30) - 15 = 2(x-15)   x +15 = 2x-30   x = 45   Answer is 45yr
Answer: C
The sum of ages of 5 children born 3 years different each is 75 yrs. What is the age of the Elder child?
Choose the correct choice from the following.
A) 7
B) 9
C) 16
D) 18
E) 21

Solution: Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.   Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 75   5x = 45   x = 9.   x+12= 9+12= 
9+12 = 21
21   21
Answer: E
One day a car rental agency rented 2/3 of its cars, including 3/5 of its cars with CD players. If 3/5 of its cars have CD players, what percent of the cars that were not rented had CD players?	Choose one:
A) 18/25
B) 17/20
C) 11/15
D) 7/10
E) 3/5

Solution: The cars with CD players which were not rented is (2/5)(3/5) = 6/25 of all the cars.   The cars which were not rented is 1/3 of all the cars.   The percent of non-rented cars which had CD players is (6/25) / (1/3) = 18/25   The answer is 18/25.
Answer: A
When n is divided by 9, the remainder is 2. When n is divided by 13, the remainder is 8. If 1 < n < 200, what is the greatest possible value of n? Pick one:	A) 47	B) 65	C) 103	D) 164	E) 117

Solution: Looking at the choices, options B E can be eliminated as they are divisible by 13   Starting from the highest number 164;   164 = 162 + 2 (162 divisible by 9)   164 = 156 + 8 (156 divisible by 13)   it fits the result   Answer = 164
Answer: D
Two cars cover the same distance at the speed of 50 and 65 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
Choose the correct choice from the following options:
A) 212 km  B) 214 km  C) 224 km  D) 200 km  E) 204 km

Solution: 50(x + 1) = 65x   X = 3.33   60 * 3.33 = 200 km   ANSWER:200 km
Answer: D
shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 400. Find the total worth of the stock?	Choose the correct option:
A) Rs. 25000
B) Rs. 20000
C) Rs. 15000
D) Rs. 22000
E) None of these

Solution: Let the total worth of the stock be Rs. x.   The SP of 20% of the stock = 1/5 * x * 1.1 = 11x/50   The SP of 80% of the stock = 4/5 * x * 0.95 = 19x/25 = 38x/50   Total SP = 11x/50 + 38x/50 = 49x/50   Overall loss = x - 49x/50 = x/50   x/50 = 400 => x = 20000   ANSWER:Rs. 20000
Answer: B
Water is poured into a cylindrical well at the rate of 22 cubic meters per hour, the level of water in the tank rises at a rate of 0.7 meters per hour. Which of the following best approximates the diameter of the tank in meters?  Choose the correct option
A) √10/2 B) √10 C) 2√10 D) 5 E) 10

Solution: Here's my re-worked solution:   volume = 22 = pi (r^2)(0.7)   22 = 22/7 (7/10)(r^2)   10 = r^2   r = sqrt(10)   Diameter=2*sqrt(10)   Ans: 2√10
Answer: C
A shopping mall charges 70 cents for the first hour of parking and $5 for each additional hour until the customer reaches 4 hours, after that the parking fee is $2 per hour. If a certain customer parked his in the mall for 7 hours and 30 minutes, how much is he going to pay?	Choose the correct answer.
A) $36.4
B) $12.
C) $13.
D) $14.5.
E) $15.

Solution: 0.70+5*5+2*5+0.70= 
0.70+5*5+2*5+0.70 = 36.4
$36.4   $36.4nswer: $36.4
Answer: A
Tickets numbered from 1 to 20 are mixed and then a ticket is selected randomly. What is the probability that the selected ticket bearsa number which is a multiple of 3? Pick:
A) 1/5	B) 2/5	C) 3/10	D) 3/7	E) 1/7

Solution: Here, S = [1, 2, 3, 4, …., 19, 20]   Let E = event of getting a multiple of 3 = [3, 6, 9, 12, 15, 18]   P (E) = n (E) / n (S) = 6 / 20 = 3/10   3/10
Answer: C
A bakery currently has 6 pies and 5 cakes in its inventory. The bakery’s owner has decided to display 5 of these items in the bakery’s front window. If the items are randomly selected, what is the probability that the display will have exactly 3 pies? Select the correct option.
A) 100/231	B) 25/77	C) 5/11	D) 93/116	E) 50/147

Solution: The total number of ways to choose 5 from 11 is 11C5 = 462.   The number of ways that include 3 pies is 6C3*5C2 = 20*10= 
20*10 = 200
200   P(exactly 3 pies)= 200/462 = 100/231   The answer is 100/231.
Answer: A
A thief is noticed by a policeman from a distance of 300 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?  Choose the correct option.
A) 100  B) 277  C) 2987  D) 278  E) 200

Solution: Relative speed of the thief and policeman = 11 - 10= 
11 - 10 = 1
1 km/hr.   Distance covered in 6 minutes= 1/60 * 6 = 1/10 km = 100 m.   Distance between the thief and policeman = 300 - 100= 
300 - 100 = 200
200 m.   Answer: 200
Answer: E
What is the value of 3x^2 − 1.8x + 0.3 for x = 0.9? Choose one
A) −0.3 B) 0 C) 0.3 D) 1.11 E) 2.46

Solution: 3x^2-1.8x+0.3 for x=0.5   =3(0.9*0.9)-2*0.9*(0.9)+0.3   =0.9*0.9+0.3   =0.81+0.3= 
0.81+0.3 = 1.11
1.11   Correct Option : 1.11
Answer: D
21, 9, 21, 11, 21, 13, 21, ?
Choose one:	A) 11	B) 17	C) 19	D) 15	E) 20

Solution: D   15   In this alternating repetition series, the number 21 is interpolated. If you exclude 21, the series increases by 2, beginning with the number 9.
Answer: D
At Tom's party, there were five times as many females as males. There were three times as many adults as children. Which of the following could NOT be the number of people at the party?  Choose the correct choice from the following:	A) 384	B) 258	C) 216	D) 120	E) 72

Solution: we have to work on the info and understand what that info takes us to...   1) there were five times as many females as males At Tom's party..   this means F=5M.. so total number=6M..   2) There were three times as many adults as children..   A=3C...   or total = 4C..   so the total is 4C or 6M..   since C and M have to be positive integers, we can say for sure that Total is a multiple of 4 and 6..   or Total is multiple of LCM of 4,6..   LCM of 4,6= 12..   lets see which number is not multiple of 12..   A. 384...12*32   B. 258... no   C. 216....12*18   D. 120....12*10   E. 72......12*6..   so 258 is our answer..
Answer: B
The first, second and third terms of the proportion are 56, 16, 49. Find the fourth term. Choose the most appropriate option.
A) 10  B) 14  C) 40  D) 50  E) 60

Solution: Explanation :   Let the fourth term be x.   Thus 56, 16, 49, x are in proportion.   Product of extreme terms = 56 x   Product of mean terms = 16 X 49   Since, the numbers make up a proportion   Therefore, 56 x = 16 49   or, x = (16 49)/56   or, x = 14   Therefore, the fourth term of the proportion is 14.   Answer : 14
Answer: B
If each year the population of the country grows by 50%, how many years will elapse before the population of the country doubles?	Choose the correct option:  A) 3  B) 4  C) 2  D) 6  E) 7

Solution: Till Year 2000, population is 100 .   Year 2001: Population becomes 150 ............. 1 Year elapsed   Year 2002: Population > 200 ............. 2 Year elapsed   Answer:2
Answer: C
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 10 sec. What is the length of the platform? Pick one:  A) 187 m  B) 350 m  C) 267 m  D) 287 m  E) 870 m

Solution: Speed = 300/10= 
300/10 = 30
30 m/sec.   Let the length of the platform be x meters.   Then, (x + 300)/39=30   => x = 870m.   Answer:870 m
Answer: E
The average of 10 result is 42. Average of the first 7 of them is 30 and that of the last 7 is 80. Find the 8th result?  Choose the correct choice from the following choices:
A) 35
B) 37
C) 70
D) 75
E) 50

Solution: Sum of all the 10 results = 10 * 42= 
10 * 42 = 420
420   Sum of the first 7 of them= 7 * 30= 
7 * 30 = 210
210   Sum of the last 7 of them= 7 * 80= 
7 * 80 = 560
560   So, the 8th number= 420+ 210 - 560= 
420+ 210 - 560 = 70
70.   70
Answer: C
Mother,her daughter and her grand child weighs 120 kg. daughter and her daughter(child) weighs 60 kg. child is 1/5th of her grand mother. What is the age of the daughter?
Choices
A) 46  B) 47  C) 48  D) 49  E) 50

Solution: mother + daughter + child = 120kg   daughter + child = 60kg   mother = 120 - 60= 
120 - 60 = 60
60kg   child= 1/5th of mother = (1/5)*60= 
(1/5)*60 = 12
12kg   So now daughter= 120 -(mother + child) = 120 - (60+12)= 
120 - (60+12) = 48
48kg   ANSWER:48
Answer: C
Plane leaves from Chelsea every 35 minutes from West Ham airport. Air hostess told Frank Lampard that the plane had left 25 minutes ago and the next plane for Chelsea will leave at 7:00 p.m.
At what time air hostess convey this information to Frank Lampard? Choose the correct choice from the following answers:  A) 5:35 p.m  B) 6:50 p.m  C) 7:35 p.m  D) 8:35 p.m  E) 9:35 p.m

Solution: Explanation:   Time of Frank Lampard last missed plane = 7:00 p.m - 35 min = 6:25 p.m   As this information has been given to Frank Lampard 25 minutes after the plane has already left, the air hostess gave the information at 6:25 p.m + 25 min = 6:50 p.m   Answer 6:50 p.m
Answer: B