MU-NLPC/Calc-aqua_rat huggingface dataset:
Which of the following is closest in value to (9^12)-(9^2)?  Options
A) 9^9 B) 9^8 C) 9^7 D) 9^12 E) 9^5

Solution: 9^12 is much larger number than 9^2 and as we need approximate value then it's pretty much negligible in this case, so: (9^12)-(9^2) = ~9^9.   Answer: D.   Similar questions to practice:   Hope it helps.
Answer: D
A company pays 12.5% dividend to its investors. If an investor buys Rs.60 shares and gets 25% on investment, at what price did the investor buy the shares?	Select the correct option:
A) 25 B) 66 C) 30 D) 19 E) 01

Solution: Explanation:   Dividend on 1 share = (12.5 * 60)/100 = Rs.7.5   Rs.25 is income on an investment of Rs.100   Rs.7.5 is income on an investment of Rs. (7.5 * 100)/25 = Rs.30   ANSWER: 30
Answer: C
A train passes a platform in 36 seconds. The same train passes a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, The length of the platform is	Choose the correct choice from the following answers
A) 280 meter	B) 240 meter	C) 200 meter	D) 260 meter	E) None of these

Solution: Explanation:   Speed of the train = 54 km/hr = (54×10)/36 m/s = 15 m/s   Length of the train = speed × time taken to cross the man = 15×20 = 300 m   Let the length of the platform = L   Time taken to cross the platform = (300+L)/15   => (300+L)/15 = 36   => 300+L = 15×36 = 540   => L = 540-300= 
540-300 = 240
240 meter   Answer: Option 240 meter
Answer: B
Can you find the missing number in the sequence given below?
11 15 19 12 16 ? 13 17 21 14 18 22 Answers:
A) 20 B) 21 C) 22 D) 23 E) 24

Solution: Solution:   20   Explanation :   The sequence is given in the puzzle is :   11 15 19 12 16 ? 13 17 21 14 18 22   Let's break the given series as below:   11 15 19   12 16 ?   13 17 21   14 18 22   Now read the number from left hand side from top to bottom as :   So the number that will replace '?' is 20.   20nswer 20
Answer: A
If a population of women in a town is 50% of men . What is the population of men as a % of population of women ?
Choose the most appropriate option:	A) 200%	B) 100%	C) 50%	D) 65%	E) 110%

Solution: We're told that the number of Women in a town is equal to 50% of the number of Men in that town.   IF....   Men = 10   Women = 5   We're asked for the number of Men, as a percentage of the number of Women.   M/W = 10/5= 
10/5 = 2
2= 200%   200%nswer is 200%
Answer: A
A pipe X is 30 meters and 45% longer than another pipe Y. find the length of the pipe Y. Options
A) 20.12 B) 20.68 C) 20 D) 20.5 E) None of these

Solution: Explanation :   Length of pipe X = 30 meter   Given that pipe X is 45% longer than Y   Let the length of pipe Y = y   Then, Length of pipe X =y×(100+45)/100   ⇒ 30 = y × (145/100) => y = 30×100/145=6×100/29=600/29=20.68   Answer : Option 20.68
Answer: B
The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is: Select the correct option
A) 4.5%
B) 4%
C) 5%
D) 6%
E) 5.5%

Solution: Increase in 10 years = (262500 - 175000)= 
(262500 - 175000) = 87_500
87500.   Increase%=(87500/175000)x 100% = 50%.   Required average =50/10= 
50/10 = 5
5%.   Answer:5%
Answer: C
If population of certain city increases at the rate of 5%. If population in 1981 was 324135, then population in 1978 was? Options.
A) 120000	B) 120029	C) 187899	D) 178968	E) 280000

Solution: X * (105/100) * (105/100) * (105/100) = 324185   X = 324185/1.157625   X = 280000   Answer:280000
Answer: E
The sum of the non-prime numbers between 30 and 40, non-inclusive, is
Choose one:
A) 202
B) 217
C) 232
D) 247
E) 262

Solution: sum of consecutive integers from 31 to 39, inclusive ====> (A1 + An)/2 * # of terms = (31 + 39)/2 * 9 = 35 *9= 
35 *9 = 315
315   sum of non-prime numbers b/w 30 and 40, non inclusive===> 315 - 68 (i.e., 31 + 37, being the prime #s in the range) =247   Answer: 247
Answer: D
How many digits will be there to the right of the decimal point in the product of 89.635 and .02218?  Answers:
A) 5
B) 6
C) 7
D) 8
E) 9

Solution: Explanation :   Sum of decimal places = 3 + 5= 
3 + 5 = 8
8   The last digit to the extreme right is zero (Since 5 x 8= 40)   Hence, there will be 7 significant digits to the right of the decimal point. Answer : Option 7
Answer: C
A dishonest grocer professes to sell pure butter at cost price, but he mixes it with adulterated fat and thereby gains 45%. Find the percentage of adulterated fat in the mixture assuming that adulterated fat is freely available?
Choose the most appropriate option:
A) 20%	B) 25%	C) 33.33%	D) 40%	E) 35%

Solution: Say 100g pure butter costs $100   But; $100 is his 25% profit because he just used 80gram pure butter.   80g would have costed him $80 and he sold it for $100 by adding 20g of freely available fat. $100 is 1.45(65)   so;   total weight=100g   fat=35g   35%   35%
Answer: E
John bought 9.25m of cloth for $434.75. Find the cost price per metre.  Choose the correct answer:  A) 46  B) 47  C) 58  D) 56  E) 54

Solution: Cloth bought by John = 9.25 m   Cost of 9.25 m = $434.75   Cost per metre = 434.75 ÷ 9.25   The cost of the cloth per metre = $ 47   Answers: 47
Answer: B
Two MBA admissions committees are to be formed randomly from 6 second year MBAs with 3 members each. What is the probability V that Jane will be on the same committee as Albert? Select the correct option:
A) 12%
B) 20%
C) 33%
D) 40%
E) 50%

Solution: Total number of ways to choose 3 member committee - 6C3=(6!/3!3!)=20   No. of ways Albert n Jane are in same committee:- (4C1 * 2)= 8   Probability V= (8/20) *100= 
(8/20) *100 = 40
40%.   +1 for me.. :40%
Answer: D
All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 152 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A? Choose the most appropriate option:
A) 1289
B) 1198
C) 281
D) 1216
E) 282

Solution: Explanation:   B has 62.5% or (5/8) of the water in A. Therefore, let the quantity of water in container A(initially) be 8k.   Quantity of water in B = 8k - 5k = 3k.   Quantity of water in container C 8  - 5= 
8  - 5 = 3
3k.   Quantity of water in container C= 8k - 3k = 5k   Container: A B C   Quantity of water: 8k 3k 5k   It is given that if 152 liters was transferred from container C to container B, then both the containers would have equal quantities of water.   5k - 152 8  - 3= 
8  - 3 = 5
5k   Container: A B C   Quantity of water: 8k 3k 5k   It is given that if 152 liters was transferred from container C to container B, then both the containers would have equal quantities of water.   5k - 152= 3k + 152 => 2k = 304 => k = 152   The initial quantity of water in A = 8k = 8 * 152= 
8 * 152 = 1_216
1216 liters.   Answer: Option 1216
Answer: D
Evaluate: 17 + sqrt(- 7 + 10Ã—6Ã·5) =?	Choose one
A) 40  B) 42  C) 44  D) 46  E) 48

Solution: According to order of operations, inner brackets first where 10x6Ã·5 is first calculated since it has a multiplication and a division.   10x6Ã·5 = 60Ã·5 = 12   Hence   17 + sqrt(- 7 + 10Ã—6Ã·5) = 17+ sqrt(-7+ 12)   = 17 + sqrt(5) = 17 + 25= 
17 + 25 = 42
42   correct answer 42)42
Answer: B
If air is called green , green is called blue, blue is called sky, sky is called yellow, yellow is called water and water is called pink, then what is the color of clear sky ?	Choose the correct answer:
A) Blue B) Sky C) Water D) Yellow E) Black

Solution: Explanation:   The colour of clear sky is 'blue' and as given, 'blue' is called 'sky'.   So, the colour of clear sky is 'sky'.   Answer: Sky
Answer: B
If a, b, and c are consecutive positive integers and a < b < c, which of the following must be true?
I. c - a = 2
II. abc is an even integer.
III. (a + b + c)/3 is an decimal. Choose the correct choice.
A) I only	B) II only	C) I and II only	D) II and III only	E) I, II, and III

Solution: Since a, b, and c are consecutive positive integers and a < b < c, then c = a + 2, from which it follows that c - a = 2. So, I is true.   Next, out of 3 consecutive integers at least 1 must be even, thus abc=even. II is true.   Finally, since b = a + 1, and c = a + 2, then (a + b + c)/3 = (a + a + 1 + a + 2)/3 = a + 1 = integer. III is false.   Answer: I and II only
Answer: C
A table is bought for Rs.200/- and sold at Rs.150/- find gain or loss percentage	Pick.
A) 15% loss B) 20% loss C) 25% loss D) 30% loss E) None

Solution: Formula = (Selling price ~ 25% lossost price)/25% lossost price * 100   = (150 - 200)/200 = 25% loss   25% loss
Answer: C
In Plutarch Enterprises, 60% of the employees are marketers, 30% are engineers, and the rest are managers. Marketers make an average salary of $50,000 a year, and engineers make an average of $80,000. What is the average salary for managers if the average for all employees is also $80,000?	Select the correct option:
A) $80,000 B) $130,000 C) $260,000 D) $290,000 E) $320,000

Solution: For sake of ease, let's say there are 10 employees:6 marketers, 3 engineers, and 1 manager.   Average company salary * Number of employees = Total company salary   >>> $80,000 * 10 = $800,000   Subtract the combined salaries for the marketers (6 * $50,000) and the engineers (3 * $80,000)   >>> $800,000 - $300,000 - $240,000 = $260,000.   The correct answer is $260,000.
Answer: C
What will come in place of the x in the following Number series? 18, X, 30, 46 ,78, 142 Choose the correct choice from the following choices.
A) 35	B) 56	C) 22	D) 87	E) 98

Solution: (22)   The pattern is +4, +8, +16, +32, +64   So the missing term is = 22.
Answer: C
Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20 & 30 minutes respectively while C can empty it in 15 minutes. If A, B & C are kept open successively for 1 minute each, how soon will the tank be filled? Pick
A) 2 hours  B) 4 hours  C) 3 hours  D) 5 hours  E) 6 hours

Solution: in three minute 1/20+1/30-1/15=1/60 part is filled   3 min--------1/60 parts   x min--------- 1 part(full)   x=180 min =3 hours   ANSWER:3 hours
Answer: C
If 4 consecutive letters are selected at random from the English alphabet, then the probability that one of the letters is a vowel is ?  Choose the correct choice from the following choices.
A) 13/23
B) 16/23
C) 11/23
D) 17/23
E) 18/23

Solution: Total no. of ways of selecting 4 consecutive letters => 23 [Like abcd, bcde, efgh,..etc]   No. of ways of having one is a vowel => abcd, bcde, cdef, defg, efgh, fghi, ghij, hijk, ijkl, lmno, mnop, nopq, opqr, rstu, stuv, tuvw, uvwx...   = 17   P(one of letter is vowel) = 17/23   ANSWER:17/23
Answer: D
Six years hence,a fathers age will be three times his son's age and three years ago the fathers age is nine times as old as his son. the fathers present age is  Choose the correct answer
A) 24 years	B) 28 years	C) 30 years	D) 40 years	E) 45 years

Solution: Let "f" nd "s" be the father's nd son's present age respectively   (f+6) = 3(s+6)   f=3s+18-6   f=3s+12   f-3 = 9(s-3)   f = 9s-27+3   f=9s-24   Equate "f"   9s-24 = 3s+12   6s = 36   s=6   f=3(6)+12   f=30   ANSWER:30 years
Answer: C
A taxi company charges $2.5 for the first quarter of a mile and fifteen cents for each additional quarter of a mile. What is the maximum distance someone could travel with $4.90?  Select the correct option.
A) 4 miles  B) 4 1/4 miles  C) 4 3/4 miles  D) 5 1/2 miles  E) 6 1/4 miles

Solution: If we start out with $4.90 and have to spend $2.5 for the first quarter-mile, we will have $2.40 left to spend on quarter-mile intervals.   Since $2.40/$0.15 = 16, we can buy 16 more quarter-miles, and will travel 17 quarter miles in all:   17 × 1/4  2.40/ 0.15= 
 2.40/ 0.15 = 16
16, we can buy 16 more quarter-miles, and will travel 17 quarter miles in all:   17 × 1/4= 4 1/4 miles.   The correct answer is choice (4 1/4 miles).
Answer: B
How much time will it take for an amount of 900 to yield 81 as interest at 4.5% per annum of simple interest?
Choose one.
A) 3 years
B) 4 years
C) 6 years
D) 5 years
E) 2 years

Solution: Time = (100 x 81)/(900 x 4.5) years = 2 years.   answer 2 years
Answer: E
Sam earns $6.00 per hour for the first 60 hours he works per week, and twice this rate for overtime. If Michael earned $358 last week, how many hours did he work? Choose the correct choice from the following: A) 43 B) 44 C) 45 D) 46 E) 69

Solution: $6*40 + $12*x = $358 --> x = 9 hours.   Total working hours = 60 + 9= 
60 + 9 = 69
69.   Answer: 69.
Answer: E
Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter?  Pick one
A) 178 B) 132 C) 279 D) 265 E) 801

Solution: 2 * 22/7 * 14= 
2 * 22/7 * 14 = 88
88   88 * 1 1/2= Rs.132   Answer: 132
Answer: B
A watch was sold at a loss of 10%. If it was sold for Rs.280 more, there would have been a gain of 4%. What is the cost price?
Choose the most appropriate option
A) s:2000
B) s:1067
C) s:1278
D) s:1028
E) s:1027

Solution: 90%   104%   --------   14% ---- 280   100% ---- ? =>   Rs:2000   s:2000nswer: s:2000
Answer: A
In a friendship gang Andrew has 8 gang, in how many ways can he invite one or more of the gang to his house? Choose the most appropriate option:
A) 234
B) 255
C) 256
D) 267
E) 270

Solution: Andrew can select one or more than one of his 8 gang.   => Required number of ways = 28 – 1= 255.   255
Answer: B
23, 29, 31, 37, 41, 43, 47, 53, 59, (...)  Options
A) 53
B) 47
C) 61
D) 59
E) 45

Solution: Explanation :   All are prime numbers in their order, starting from 23   Hence, next number is 61   Answer : 61
Answer: C
1.8 men and 14 women are working together in a field. After working for 3 days, 5 men and 8 women leave the work. How many more days will be required to complete the work?
I.19 men and 12 women together can complete the work in 18 days.
II.16 men can complete two-third of the work in 16 days.
III.In 1 day, the work done by three men in equal to the work done by four women.	Choose the correct option.
A) I only  B) II only  C) III only  D) I or II or III  E) II or III only

Solution: EXPLANATION   Clearly, I only gives the answer.   Similarly, II only gives the answer.   And, III only gives the answer.   Answer is (I or II or III).
Answer: D
If Rs.10 be allowed as true discount on a bill of Rs.110 due at the end of a certain time,then the discount allowed on the same sum due at the end of double the time is : Choose the correct choice from the following answers:
A) Rs. 20
B) Rs. 21.81
C) Rs. 22
D) Rs. 18.33
E) None of these

Solution: Solution   S.I. on Rs.(110 -10) for a certain time =Rs.10.   S.I. on Rs. 100 for double the time =Rs. 20.   T.D. on Rs. 120 =Rs.(120 -100)=Rs. 20.   T.D. on Rs. 110 =Rs.left ( 20/120x120 ) =Rs.18.33.   Answer Rs. 18.33
Answer: D
find highest power of 2 in 1!+2!+3!+4!...........+600!	Choose the correct choice from the following choices:
A) 0	B) 1	C) 2	D) 3	E) 4

Solution: unit digit of   1!+2!+3!+4!...........+600! is odd i.e   the given sum gives an odd no. so, there is no factor of 2.   highest power of 2 = 2^0   hence answer is 0.   0NSWER:0
Answer: A
M is the sum of the reciprocals of the consecutive integers from 401 to 500, inclusive. Which of the following is true?
Choices
A) 1/3 < M < 1/2	B) 1/5 < M < 1/4	C) 1/7 < M < 1/5	D) 1/9 < M < 1/7	E) 1/12 < M < 1/9

Solution: M = 1/401 + 1/4+ 1/403 + ...... + 1/500   If we replace the first 99 terms by 1/500, then we get a sum = 100/500 = 1/5. Since the actual terms are larger than 1/500, the sum is larger than 1/5.   If we replace the all the 100 terms by 1/400, we get a sum = 100/400 = 1/4. Since the actual terms are smaller than 1/400, the sum is less than 1/4.   Therefore 1/5 < M < 1/4   Choice 1/5 < M < 1/4
Answer: B
8 identical machines, working alone and at their constant rates, take 6 hours to complete a job lot. How long would it take for 2 such machines to perform the same job?  Select the correct option.
A) 2.25 hours B) 8.75 hours C) 12 hours D) 24 hours E) 16 hours

Solution: Let each machine do 1 unit of work for 1 hour   8 machines --> 8 units of work in 1 hour   For 6 hours = 8*6= 
8*6 = 48
48 Units of total work is done.   Now this 48 Units of total work must be done by 2 machines   2 units of work(2 machines) ---> 1 hour   for 48 Units of work   2*24 ---> 1*24 hours   24 hours 24 hours
Answer: D
Working at constant rate, pump X pumped out half of the water in a flooded basement in 6 hours. The pump Y was started and the two pumps, working independently at their respective constant rates, pumped out rest of the water in 3 hours. How many hours would it have taken pump Y , operating alone at its own constant rate, to pump out all of the water that was pumped out of the basement?	Choose the correct choice.
A) a. 10
B) b. 12
C) c. 14
D) d. 28
E) e. 24

Solution: rate of x=1/8   rate of x+y=1/6   rate of y=1/6-1/8=1/24   28 hours   d. 28
Answer: D
Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next?	Choose the most appropriate option.
A) 10
B) 12
C) 7
D) 8
E) 9

Solution: This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted.   10NSWER 10
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? Options:  A) 1/7  B) 2/9  C) 3/10  D) 3/11  E) 3/14

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 can do a work in 8 days. B can do the same work in 24 days. If both A & B are working together in how many days they will finish the work? Choose the correct answer
A) 3	B) 5	C) 4	D) 2	E) 6

Solution: A rate = 1/8   B rate = 1/24   (A+B) rate = (1/8)+(1/24) = 1/6   A & B finish the work in 6days   correct option is 6
Answer: E
Ten students in a computer skills company can touch-type and the other 15 can use a particular word processing program. If 13 of the students can neither use the program nor touch-type, then how many students are in the class?	Choose the correct choice
A) 46 B) 42 C) 38 D) 34 E) 19

Solution: the neither = 13 , the minimum number of students in any or both = 15 , thus 19 is out   the maximum number of students (given 13 is in neither ) in any or both could reach = 25 thus 42 and 46 are out   now the answer is b or c both could be the answer   if the intersection between the 2 groups = 0 thus total = 13+15+10= 
13+15+10 = 38
38   if the intersection between the 2 groups= 4 thus total = 15+6+13 or  11+10+13= 
 11+10+13 = 34
34   ANSWER:34
Answer: D
A certain furniture can be repaired for $15.50 and will last for 1 year. A same kind of furniture can be purchased new for $40.00 and will last for 2 years. The average cost per year of the new shoes is what percent greater than the cost of repairing the used shoes? Choose the correct choice:
A) 28.9 B) 31.4 C) 27.8 D) 29.03 E) 30

Solution: 1) Cost of repairing = 15.5 ( for one year ), Therefore for 2 years it would be$ 31.   2) Cost of new furniture which will last for 2 years is$ 40.   Percentage change formula =( Final value - Initial value ) / ( Initial Value ) * 100. In this case the final value would be the price of new furniture value would be the cost of repairing the old shoe.   I.e ( 40 - 31 ) / ( 31 ) * 100 = 29.03 %.   Ans is 29.03.
Answer: D
The sum of the mean, the median, and the range of the set {5,6,7} equals which one of the following values?
Choose the correct choice from the following options
A) 18  B) 14  C) 16  D) 12  E) 10

Solution: Here Mean => 5+6+7/3 => 6   median => 6   and range => 7-1= 
7-1 = 6
> 6   hence sum=> 6+6+6= 
6+6+6 = 18
> 18   18nswer: 18
Answer: A
The food in a camp lasts for 20 men for 40 days. If ten more men join, the food will last for how many days ?  Choose the correct choice from the following answers.
A) 40 days
B) 27 days
C) 37 days
D) 50 days
E) 45 days

Solution: one man can consume the same food in 20*40= 
20*40 = 800
800 days.   10 more men join, the total number of men= 20   The number of days the food will last = 800/30 = 27 days.   ANSWER:27 days
Answer: B
Which of the following CANNOT be the least common multiple of two positive integers x and y
Choose the correct choice from the following answers:	A) xy	B) x	C) y	D) y - x	E) x + y

Solution: The least common multiple of two positive integers cannot be less than either of them. Therefore, since x - y is less than x, it cannot be the LCM of a x and y.   Answer: y - x
Answer: D
In a sports club with 42 members, 20 play badminton and 23 play tennis and 6 do not play either. How many members play both badminton and tennis? Select the correct option:
A) 3
B) 5
C) 6
D) 7
E) 8

Solution: 20+23= 
20+23 = 43
43   but where as total number is   42-6= 
  42-6 = 36
36   therefore answer is   43-36= 
  43-36 = 7
7   Hence Answer is 7
Answer: D
Tap 'A' can fill the tank completely in 6 hrs while tap 'B' can empty it by 12 hrs. By mistake, the person forgot to close the tap 'B', As a result, both the taps, remained open. After 3 hrs, the person realized the mistake and immediately closed the tap 'B'. In how much time now onwards, would the tank be full? Select the correct option
A) 2.5 hours B) 4.5 hours C) 5.5 hours D) 1.5 hour E) None of these

Solution: Explanation :   Tap A can fill the tank completely in 6 hours   => In 1 hour, Tap A can fill 1⁄6 of the tank   Tap B can empty the tank completely in 12 hours   => In 1 hour, Tap B can empty 1⁄12 of the tank   i.e., In one hour, Tank A and B together can effectively fill 1⁄6 - 1⁄12 = 1⁄12 of the tank   => In 3 hours, Tank A and B can effectively fill 1⁄12 × 3 = 1⁄4 of the tank.   Time taken to fill the remaining 1−(1/4) = 3/4 of the tank = (3/4)/(1/6)= 
(3/4)/(1/6) = 9/2 = around 4.5
4.5 hours. Answer : Option 4.5 hours
Answer: B
The probability that B can shoot a target 3 out of 3 times is 0.25. What is the probability that the target will be missed by B immediately after such two shots? Pick one:	A) 0.25	B) 0.5	C) 0.4	D) 0.75	E) 0.8

Solution: Suppose there are total 'x' shots.   B shoots 3 out of 3 times. means out of x shots (x>3)   therefore, 3/x = 0.25 (given)   the target will be missed by B immediately after such two shots : this means he can shot just twice ...the third shot cannot happen which means he missed (x-3) shots.   thus, the probabilty of missing just after 2 shots is (x-3)/x.   (x-3)/x = 1 - 3/x   = 1 - 0.25= 
1 - 0.25 = 0.75
0.75   Answer : 0.75
Answer: D
A train passes a station platform in 18 seconds and a man standing on the platform in 12 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choose the correct choice from the following options
A) 100 B) 150 C) 96 D) 88 E) 90

Solution: Speed = [54 * 5/18] m/sec = 15 m/sec.   Length of the train = (15 * 12)= 
(15 * 12) = 180
180 m.   Let the length of the platform be x meters.   Then, x + 180/ 18= 15   x + 180 = 270   x = 90 m.   Answer:90
Answer: E
If the height of a cone is increased by 140% then its volume is increased by? Select.
A) 100 B) 140 C) 998 D) 729 E) 2879

Solution: 140%   Answer:140
Answer: B
How many times do the hands of a clock coincide in a day?  Choices
A) 20	B) 21	C) 22	D) 23	E) 24

Solution: The hands of a clock coincide 11 times in every 12 hours (Since between 11 and 1, they coincide only once, i.e., at 12 o'clock).   AM   12:00   1:05   2:11   3:16   4:22   5:27   6:33   7:38   8:44   9:49   10:55   PM   12:00   1:05   2:11   3:16   4:22   5:27   6:33   7:38   8:44   9:49   10:55   The hands overlap about every 65 minutes, not every 60 minutes.   The hands coincide 22 times in a day.   Answer: Option 22
Answer: C
The distance between Delhi and Mathura is 125 kms. A starts from Delhi with a speed of 25 kmph at 9 a.m. for Mathura and B starts from Mathura with a speed of 35 kmph at 10 a.m. from Delhi. When will they meet?  Select the correct option
A) 11 1/2	B) 77 2/3	C) 16 3/4	D) 10	E) 98

Solution: D = 125 – 25 = 100   RS = 35 + 25= 
35 + 25 = 60
60   T= 100/60 = 1.6 hours   10 a.m. + 1.6 = 11 1/2a.m..11 1/2nswer: 11 1/2
Answer: A