MU-NLPC/Calc-aqua_rat huggingface dataset:
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Choose the correct option.
A) 11 B) 50 C) 88 D) 65 E) 22

Solution: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr   = 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5 = 45 ==> x   = 50 km/hr.   Answer:50
Answer: B
1.12.91 is the first Sunday. Which is the fourth Tuesday of December 91?	Choose the most appropriate option.
A) 20.12.91
B) 22.12.91
C) 24.12.91
D) 25.12.91
E) None of these

Solution: Explanation :   Given that 1.12.91 is the first Sunday   Hence we can assume that 3.12.91 is the first Tuesday   If we add 7 days to 3.12.91, we will get second Tuesday   If we add 14 days to 3.12.91, we will get third Tuesday   If we add 21 days to 3.12.91, we will get fourth Tuesday   => fourth Tuesday = (3.12.91 + 21 days) = 24.12.91. Answer : Option 24.12.91
Answer: C
Working at their respective constant rates, Paul, Abdul and Adam alone can finish a certain work in 3, 4, and 5 hours respectively. If all three work together to finish the work, what fraction Q of the work will be done by Adam?
Answers.
A) 1/4	B) 12/47	C) 1/3	D) 5/12	E) 20/47

Solution: Let the total work be 60 units. Pual does   60/3= 
  60/3 = 20
20 units of work per hr. abdul does 15 units per hr and adam does 12 units per hr. If all work together they do (20 + 15 + 12)= 
(20 + 15 + 12) = 47
47 units per hr. So the time taken to finish the work= 60/47 hrs.   adam will do 60/47 * 12 units of work in 60/47 hr . fraction of work adam does =work done by adam / total work   Q>( 60/47 *12)/60 =12/47   Answer 12/47
Answer: B
Which number, when found in the denominator of any given fraction, gives a terminating decimal?  Answers
A) 2^3 * 3^4	B) 5^2 * 7^3	C) 2^4 * 11^3	D) 5^3 * 11^2	E) 2^4 * 5^3

Solution: All the other choices except Option E have numbers other than 2 or 5.   Option 2^4 * 5^3.
Answer: E
A man sold 18 toys for Rs. 21000, gaining thereby the cost price of 3 toy find the cost price of a toy
Options
A) s. 600	B) s. 800	C) s.500	D) s.900	E) s. 1000

Solution: Let the cost of one toy = X.   Then, cost of 18 toys = 18X.   Gain = 3X.   SP of 18 toys = Rs. 21000.   Gain = SP â€“ CP   3X = 21000 â€“ 18X   21X = 21000   X = Rs. 1000.   ANSWs. 1000R : OPTION s. 1000
Answer: E
If the tens digit x and the units digit y of a positive integer n are reversed, the resulting integer is 45 more than n. What is y in terms of x ?	Choose the correct answer:  A) x+5  B) x+3  C) x+4  D) x-3  E) x-4

Solution: Original Digits=xy i.e. Number=10x+y   After reversing the digits:   Digits=yx i.e. Number=10y+x   10y+x is 45 more than 10x+y   10x+y+45=10y+x   10x-x+45=10y-y   9x+45=9y   x+5=y   OR   y=x+5   x+5nswer : x+5
Answer: A
A man has Rs. 630 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?  Choose the correct choice:  A) 45  B) 60  C) 75  D) 90  E) 118.125

Solution: Let number of notes of each denomination be x.   Then x + 5x + 10x = 630   16x = 630   x = 39.375.   Hence, total number of notes = 3x = 118.125.   Answer = 118.125
Answer: E
One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,90,000 as total savings, how much has he saved in Public Provident Fund ? Options:  A) 80000  B) 60000  C) 50000  D) 76000  E) 90000

Solution: Let savings in N.S.C and P.P.F. be Rs. x and Rs. (190000 - x) respectively. Then,   =1/3 x = 1/2 (190000 - x)   =x/3 + x/2 = 95000   =5x/6 = 95000   =x = 95000 x 6 /5	= 114000   Savings in Public Provident Fund = Rs. (190000 - 114000) = Rs. 76000   Answer is 76000
Answer: D
A shopkeeper buys mangoes at the rate of 6 a rupee and sells them at 5 a rupee. Find his net profit or loss percent?
Answers: A) 33 1/8 % B) 33 7/3 % C) 33 1/3 % D) 33 5/8 % E) 20 %

Solution: The total number of mangoes bought by the shopkeeper be 30.   If he buys 6 a rupee, his CP = 5   He selling at 5 a rupee, his SP = 6   Profit = SP - CP = 6 - 5= 
6 - 5 = 1
1   Profit Percent= 1/5 * 100= 
1/5 * 100 = 20
20 %   Answer: 20 %
Answer: E
In how many different number of ways 5 men and 3 women can sit on a shopa which can accommodate persons?
Choose the correct choice from the following options
A) A)160
B) B)6720
C) C)6570
D) D)210
E) E)230

Solution: 8p2 =8 x 7 × 6 × 5 x4 =6720   Option '6720'
Answer: B
The list price of an article is Rs.66. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?	Choose the correct choice from the following options
A) 3.45%	B) 4.45%	C) 5.45%	D) 6.45%	E) 7.45%

Solution: 66*(90/100)*((100-x)/100) = 56.16   x = 5.45%   ANSWER:5.45%
Answer: C
A shopkeeper buys two articles for Rs.1000 each and then sells them, making 30% profit on the first article and 30% loss on second article. Find the net profit or loss percent? Choose the correct choice from the following choices
A) 200
B) 768
C) 276
D) 300
E) 279

Solution: Profit on first article = 30% of 1000 = 300.   This is equal to the loss he makes on the second article. That, is he makes neither profit nor loss.   Answer: 300
Answer: D
Excluding the stoppages, the speed of a bus is 12 km/hr and including the stoppages the speed of the bus is 6 km/hr. For how many minutes does the bus stop per hour?  Choose the correct answer
A) 15 min
B) 30 min
C) 12 min
D) 20 min
E) 18 min

Solution: Speed of the bus without stoppage=12 km/hr   Speed of the bus with stoppage=6 km/hr   Difference in speed=6 km/hr   so,the time taken in the stoppages = time taken to cover 6 km=(6/12)hr = 1/2 hr =30 min   ANSWER:30 min
Answer: B
A square is of side 1 km. A man travels first 2 sides with the 30 mph and third side with 60 kmph. What is the speed that man has to travel the fourth side if the average speed is 60 kmph
Choose the most appropriate option
A) 100 Kmph
B) 110 Kmph
C) 120 Kmph
D) 130 Kmph
E) 140 Kmph

Solution: 1 Mile= 1.6 Km   Total time taken to travel 3 sides =(1/48)+(1/48)+(1/60)= 7/120 hr   time taken to travel 4 sides at avg speed= 1/15 hr   So, reqred speed for fourth side= 1/{(1/15)-(7/120)}= 120 Kmph   ANSWER:120 Kmph
Answer: C
A library has an average of 510 visitors on Sunday and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is Select the correct option:
A) 250
B) 276
C) 280
D) 285
E) None

Solution: Sol.   Since the month begins with a Sunday, so there will be five Sundays in the month.   ∴ Required average = [510 x 5 + 240 x 25 / 30] = 8550 / 30= 
8550 / 30 = 285
285   Answer 285
Answer: D
If a store adds 100 chairs to its current inventory, the total number of chairs will be the same as three-halves the current inventory of chairs. If the manager wants to increase the current inventory by 10%, what will the new inventory of chairs be? Pick
A) 40
B) 60
C) 100
D) 140
E) 220

Solution: Explanation:   Letâ€™s say t = total current inventory of chairs. The first sentence states that 100 + t = (3/2)t. First solve for the current inventory:   100 + t = (3/2)t   100 = (3/2)t âˆ’ t   100 = (1/2)t   200 = t   The manager wants to increase this by 10%.   10% of 200 is 20, so the new inventory will be 220   Answer: 220
Answer: E
A can do a work in 24 days and B can do it in 12 days. In how many days A and B can do the work?
Choose the correct choice:	A) 20 days	B) 10 days	C) 6 days	D) 5 days	E) 8 days

Solution: 8 daysxplanation:   A's 1day's work = 1/24   B's 1day's work = 1/12   They work together = 1/24 + 1/12 = 3/24 = 24/3= 
24/3 = 8
8 days   Answer: Option 8 days
Answer: E
How many prime numbers between 1 and 100 are factors of 143?	Choose the most appropriate option:
A) 6 B) 5 C) 4 D) 2 E) 3

Solution: factor of 143= 11*13--- 2 prime numbers   2
Answer: D
Solve below question
y : 6y - 27 + 3y = 4 + 9 - y
Choose one
A) 2  B) 4  C) 6  D) 7  E) 8

Solution: 9 y + y = 13 + 27   10 y = 40 => y = 4   4
Answer: B
In the fifth grade at Parkway elementary school there are 420 students. 296 students are boys and 250 students are playing soccer. 86% of the students that play soccer are boys. How many girl student are in Parkway that is not playing soccer?	Choose the correct choice from the following options:
A) 69. B) 73. C) 81 D) 91 E) 89

Solution: Total students = 420   Boys = 296, Girls = 124   Total playing soccer = 250   86%of 250 = 215 are boys who play soccer.   Girls who play soccer = 35.   Total girls who do not play soccer = 124 - 35= 
124 - 35 = 89
89.   Correct option: 89
Answer: E
The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 5 months, find for how much time did Q invest the money?	Pick one
A) 29
B) 10
C) 28
D) 20
E) 11

Solution: 7*5: 5*x = 7:10   x = 10   Answer: 10
Answer: B
what is the area of a circle having the same perimeter as that of a square whose area is 121.  Choose the correct answer:
A) 306	B) 307	C) 308	D) 309	E) 310

Solution: side of the square=sqrt(12)=11   perimeter of the square=44   2*pie*r=44   r=44/2*pie   area of the circle=pie*r^2=308   ANSWER:308
Answer: C
A password for a computer uses five digits from 0 to 9, inclusive. What is the probability that the digits of the password solely consist of prime numbers or zero?
Choose the correct choice.
A) A)1/32
B) B)1/16
C) C)1/8
D) D)2/5
E) E)1/2

Solution: Favorable outcomes will be obtained by making Password using {0, 2, 3, 5, 7} i.e. 5 digits   Total Such Passwords = 5*5*5*5*5 = 5^5   Total Possible Password = 10*10*10*10*10 = 10^5   Probability = (5^5) / (10^5) = 1/2^5 = 1/32   1/32nswer: option 1/32
Answer: A
A train passes a man standing on the platform. If the train is 170 meters long and its speed is 72 kmph, how much time it took in doing so?
Choose the correct choice from the following options.
A) 8 1/6 sec	B) 8 1/9 sec	C) 8 2/2 sec	D) 8 1/2 sec	E) 2 1/2 sec

Solution: 8 1/2 sec = 170   S = 72 * 5/18= 
72 * 5/18 = 20
20 mps   T= 170/20 = 8 1/2 sec   Answer: 8 1/2 sec
Answer: D
Erik's mother gave him $86 to go to the store. Erik bought 3 loaves of bread and 3 cartons of orange juice. Each loaf of bread cost $3 and each carton of orange juice cost $6. How much money does Erik have left?	Choose the correct choice from the following answers: A) $24 B) $27 C) $59 D) $75 E) $35

Solution: Step 1: Find the cost of the loaves of bread.   3 × $3 = $9   Step 2: Find the cost of the orange juice.   3 × $6 = $18   Step 3: Find the total cost of the groceries.   $9 + $18 = $27   Step 4: Find the amount of money left.   $86 – $27  9 +  18= 
 9 +  18 = 27
$27   Step 4: Find the amount of money left.   $86 – $27= $59   Erik has $59 left.   Answer is $59.
Answer: C
A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:  Choices:
A) 9 1/5 days  B) 9 2/5 days  C) 9 3/5 days  D) 10  E) 15

Solution: Explanation:   (A + B + 9 3/5 days)'s 1 day's work =	1/4   A's 1 day's work =	1/16   B's 1 day's work =	1/12   9 3/5 days's 1 day's work =	1/4-(1/16+1/12)=5/48   So, 9 3/5 days alone can do the work in	48/5=9 3/5 days   ANSWER IS 9 3/5 days
Answer: C
If x and y are integers such that |y + 3| ≤ 3 and 2y – 3x + 6 = 0, what is the least possible value E of the product xy? Choices
A) -12  B) -3  C) 0  D) 2  E) None of the above

Solution: How to deal with inequalities involving absolute values? First example shows us the so callednumber case   In this case we have |y + 3| ≤ 3 which is generalized |something| ≤ some number. First we solve as if there were no absolute value brackets:   y + 3 ≤ 3   y ≤ 0   So y is 0 or negative   Second scenario - remove the absolute value brackets. Put a negative sign around the other side of the inequality,ANDflip the sign:   y + 3 >= -3   y >= -6   Therefore we have a possible range for y: -6=<y<=0   Ok, so far so good, we're half way through. What about x?   Here's the formula: 2y – 3x + 6 = 0, rewrite it as 2y + 6 = 3x.   You can say that 2y + 6 is a multiple of 3 (=3x). So all values which must be integer must also satisfy this constraint. I'm just saying that, so it's easier to evaluate all the possible numbers (-6, -3, 0). If you plug in y = 0, x will be 2 and xy = 0 as the lowest possible value E.   Hence, Answer 0hoice 0 is the one to go.
Answer: C
Look at this series 8, 22, 8, 28, 8, ... What number should come next? Choices:
A) 34	B) 8	C) 12	D) 44	E) 30

Solution: simple addition series with a random number, 8 - interpolated as every other number. In the series, 6 is added to each number except 8, to arrive at the next number.   34NSWER 34
Answer: A
One fourth of one third of two fifth of a number is 30. What will be40% of that number
Select the correct option:
A) A)360
B) B)150
C) C)180
D) D)200
E) E)220

Solution: Explanation:   (1/4) * (1/3) * (2/5) * x = 30   then x = 30 * 30= 
30 * 30 = 900
900   40% of 900= 360   360nswer: Option 360
Answer: A
30 square stone slabs of equal size were needed to cover a floor area of 67.5 sq.m. Find the length of each stone slab?	Select
A) 150cm	B) 767cm	C) 88cm	D) 666cm	E) 776cm

Solution: 150cmrea of each slab   =67.5/30m2=2.25m2   Length of each slab √2.25=1.5m=150cm
Answer: A
Eight litres are drawn off from a vessel full of water and substituted by pure milk. Again eight litres of the mixture are drawn off and substituted by pure milk. If the vessel now contains water and milk in the ratio 9:40, find the capacity of the vessel. Choose one:
A) 21 liters B) 22 liters C) 20 liters D) 14 liters E) 28 liters

Solution: Lets start with option:   Vessel capacity be 20litre:   8litre water removed and milk added: W=12litre, M=8litre   8litre mixture removed, (removed proportionately) : W= 12-4.8= 
12-4.8 = 7.2
7.2litre, M= 8-3.2= 
8-3.2 = 4.8
4.8 litre   8litre milk added ; W=7.2 litre, M=12.8 litre   Ratio will be 72/128 = 18/32 = 9/16   As we can see that milk is less so we have to select the ratio even less than 20,   Vessel capcity be 14 litre   8litre water removed and milk added: W=6 litre, M=8 litre   8litre mixture removed, (removed proportionately) : W= 6-3.4= 
6-3.4 = 2.6
2.6 litre, M= 8-4.6= 
8-4.6 = 3.4
3.4 litre   8litre milk added ; W=2.6 litre, M=11.4 litre   Ratio will be 26/114 = 8.66/38 (approx) very close to 9/40   So correct option is 14 liters
Answer: D
A train having a length of 240 m passes a post in 24 seconds. How long will it take to pass a platform having a length of 640 m?  Pick:
A) 120 sec B) 99 sec C) 89 sec D) 80 sec E) 88 sec

Solution: 88 secxplanation:   v = 240/24 (where v is the speed of the train) = 10 m/s   t = (240+640)/10= 
(240+640)/10 = 88
88 seconds   Answer: Option 88 sec
Answer: E
P, Q and R can do a work in 5 , 7 and 10 days respectively. They completed the work and got Rs.310. What is the share of Q and R respectively?
Choose one:	A) 100 and 80	B) 100 and 90	C) 100 and 110	D) 70 and 100	E) 100 and 70

Solution: The ratio of their working rates = 1/5 : 1/7 : 1/10 = 14 : 10 : 7.   Since, they work together, the share of Q   = 10/31 * 310 = Rs.100   the share of R = 7/31 * 310 = Rs.70   the share of Q and R respectively is Rs. 100 and Rs.70   Answer: 100 and 70
Answer: E
Two trains travelling in the same direction at 40 and 22 kmph completely pass off another in 1 minute. If the length of the first train is 125 m, what is the length of the second train?
Answers
A) 156 m	B) 189 m	C) 175 m	D) 134 m	E) 972 m

Solution: RS = 40 – 22 = 18 * 5/18= 
18 * 5/18 = 5
5 mps   T= 60 sec   D = 5 * 60= 
5 * 60 = 300
300 m   125   --------   175 m   Answer:175 m
Answer: C
The probability is 1/2 that a certain coin will turn up heads on any given toss. If the coin is to be tossed three times, what is the probability that on at least one of the tosses the coin will turn up tails? Choose the correct choice from the following answers:
A) 1/8
B) 1/2
C) 3/4
D) 7/8
E) 15/16

Solution: P(at last 1 tails) = 1 - P(all heads) = 1 - (1/2)^3 = 7/8.   Answer: 7/8.
Answer: D
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Choose the most appropriate option
A) 140 B) 156 C) 175 D) 214 E) None of these

Solution: Explanation:   Given that the area of the square = 1225 sq.units   => Side of square = âˆš1225 = 35 units   The radius of the circle = side of the square = 35 units Length of the rectangle = 2/5 * 35= 
2/5 * 35 = 14
14 units   Given that breadth= 10 units   140rea of the rectangle = lb = 14 * 10= 
14 * 10 = 140
140 sq.units   140NSWER IS 140
Answer: A
Jennifer works 20 days a month at d dollars per day for m months out of the year. Which of the following represents her yearly pay?  Choose the correct choice:	A) m/(20d)	B) 20d	C) 10md/6	D) 20d/m	E) 20md

Solution: Total income of Jennifer in a year = d*20*m dollars. = 20dm Answer 20md
Answer: E
In how many ways W can the crew of a ten oared boat be arranged ,when of the ten persons available, 2 of whom can row only on the bow side and 3 of whom can row only on the stroke side?	Choices
A) 1. 10!/(2! * 3!)
B) 2. 10!/(8! * 7!)
C) 3. 5!/(3! * 2!)
D) 4. (5!)^3/(3! * 2!)
E) 5. 5!/(8! * 7!)

Solution: Ans is D.   Going by the assumtion that both the Bow side and Stroke side will have 5 person each.   Five(3+2) of them had allready been selected(according to their preference), so from the remaining 5 we have to select 2 for the stroke side or 3 for the bow side.   and the 5 crew of each side can be arranged in 5! ways=W   Hence answer is 5C3 * 5! * 5!= (5!)^3/ 3!2!.4. (5!)^3/(3! * 2!)
Answer: D
A monkey climbs 30 feet at the beginning of each hour and rests for a while when he slips back 20 feet before he again starts climbing in the beginning of the next hour. If he begins his ascent at 10.00 a.m., at what time will he first touch a flag at 120 feet from the ground?  Choose the correct choice from the following
A) 4 p.m.  B) 5 p.m.  C) 6 p.m.  D) 8 p.m.  E) None of these

Solution: Explanation:   Net ascent of the monkey in 1 hour = (30 - 20)= 
(30 - 20) = 10
10 feet.   So, the monkey ascends 90 feet in 9 hours i.e. till 7 p.m.   Clearly, in the next 1 hour i.e. till 8 p.m. the monkey ascends remaining 30 feet to touch the flag.   Answer:8 p.m.
Answer: D
A swimming pool 9 m wide and 12 m long is 1 m deep on the shallow side and 4 m deep on the deeper side. Its volume is:
Choices:	A) 260	B) 262	C) 270	D) 272	E) None of these

Solution: Explanation:   Volume will be length * breadth * height, but in this case two heights are given so we will take average,   Volume=(12∗9∗(1+4 /2))m312∗9∗2.5m3=270m3   Option 270
Answer: C
In a school 50% of the students are younger than 10, 1/20 are 10 years old and 1/10 are older than 10 but younger than 12, the remaining 70 students are 12 years or older. How many students are 10 years old? Choose the correct option.
A) 5  B) 6  C) 7  D) 8  E) 10

Solution: Let us write the fraction for each group of students   Group A: younger than 10: 50% = 50/100 = 1/2   Group B: 10 years old: 1/20   Group C: older that 10 but younger than 12: 1/10   Group D: 12 years or older: 70 students   The fraction for group A, B and C together is given by   1 / 2 + 1 / 20 + 1 / 10 = 10 / 20 + 1 / 20 + 2 / 20 , common denominator   = 13 / 20 , add numerators   The fraction for group D is given by   20 / 20 - 13 / 20 = 7 / 20 and corresponds to 70 students   If X is the total number of students, then   7 / 20 of X = 70   or (7 / 20) × X = 70   Solve for X   X = 70 × (20 / 7) = 200   Students who are 10 years old have a fraction of 1 / 20 of the total X and their number is equal to   (1 / 20) of 200 = 10 students   correct answer is 10)10
Answer: E
What is the smallest prime number?
Choose the correct choice from the following choices
A) 0	B) 1	C) 2	D) 3	E) 4

Solution: Explanation :   smallest prime number is 2.   0 and 1 are neither prime numbers nor composite numbers. Answer : Option 2
Answer: C
If a coin has an equal probability of landing heads up or tails up each time it is flipped , what is the probability that the coin will land heads up exactly twice in 2 consecutive flips ?
Select the correct option.
A) 0.125  B) 0.225  C) 0.25  D) 0.5  E) 0.666

Solution: Total number of ways in which H or T can appear in 3 tosses of coin is   = 2 * 2= 
2 * 2 = 4
4 ways   For 2 H   HH,   Thus probability is= P(HH)   = 1/4= 
1/4 = 1/4 = around 0.25
.25   Answer : 0.25
Answer: C
What will come in place of the x in the following Number series? 6, 12, 21, 33 , x
Choose one:
A) 33  B) 35  C) 39  D) 48  E) 42

Solution: The pattern is + 6, + 9, + 12, +15 â€¦â€¦â€¦..   So the missing term is = 33 + 15= 
33 + 15 = 48
48   Answer : 48
Answer: D
Before being simplified, the instructions for computing income tax in country R were to add 4 percent of one's annual income to the average(arithmetic mean) of 100 units of Country R's currency and 1 percent of one's annual income. Which of the following represents the simplified formula for computing the income tax, in country R's currency, for a person in that country whose annual income is I? Answers
A) 50 + I/200	B) 50 + 3I/100	C) 50+ I/40	D) 100+ I/50	E) 50+ 9I/200

Solution: Income of a person is I   4 percent of ones annual income = 4I/100   100 units of Country R's currency = 100   1 percent of one's annual income = I/100   Average of 100 units and 1 percent annual income = 50 + I/200   Sum of average and 4 percent = 4I/100 + 50 + I/200   = 50 + 9I/200   So answer is 50+ 9I/200.
Answer: E
A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 350 m long platform?
Choose the correct answer: A) 33 B) 66 C) 88 D) 47 E) 88

Solution: 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= 
12 * 36 * 5 /18 = 120
120 m.   Time taken to cross the platform= (120 +350)/ 36 * 5/18 = 47 min.   Answer:47
Answer: D
A rectangular football field is fenced on all four sides. The length of the football field is twice the length of its breadth. The cost of fencing the field was $360. The football management has decided to change the dimensions of field by increasing the breadth by 50% of its original value and reducing the length by 5% of its original value and fence the field again.. What will be the cost of the new fencing?	Select:	A) $360	B) $180	C) $425	D) $408	E) $415

Solution: Let's take x to be the breadth. Then the length of the football field is 2x.   The perimeter of the old football field is x + 2x + x + 2x = 6x.   Now, for the new football field:   The new breadth = 1.5 times old breadth = 1.5x   The new length is 0.95 times old length = (.95)2x = 1.9x   So the new perimeter is 1.5x + 1.9x + 1.5x + 1.9x = 6.8x.   for old perimeter rate is $360   For new perimeter  1.5  + 1.9  + 1.5  + 1.9= 
 1.5  + 1.9  + 1.5  + 1.9 = 6.8
6.8x.   for old perimeter rate is $360   For new perimeter= (360 * 6.8)/6= 
(360 * 6.8)/6 = 408
408   Ans - $408
Answer: D
Reeya obtained 65, 67, 76, 82 and 85 out of 100 in different subjects, What will be the average  Choose the most appropriate option:
A) 70	B) 75	C) 80	D) 85	E) 90

Solution: Explanation:   (65+67+76+82+85 / 5)=75   Option 75
Answer: B
In a lottery, there are 10 prizes and 35 blanks. A lottery is drawn at random. What is the probability of getting a prize?
Choose the correct choice from the following answers:
A) 1/10	B) 2/5	C) 2/7	D) 2/9	E) None

Solution: Solution   P(getting a prize)	= 10 / (10+35)   ‹=› 10 / 45   ‹=› 2 / 9.   Answer 2/9
Answer: D