MU-NLPC/Calc-aqua_rat huggingface dataset:
The average of 10 members is 15665. If 2 members have 20000 then what is the average of remaining?	Answers:
A) 12581.25
B) 13581.25
C) 14581.25
D) 15581.25
E) 16581.25

Solution: 20000*2+8*x=15665*10   8x=156650-40000= 
156650-40000 = 116_650
116650/8= 
116650/8 = 58_325/4 = around 14_581.25
14581.25   ANSWER:14581.25
Answer: C
How many 5 digit numbers can be formed by using 0,2,4,6,8 which is divisible by 8? (for a no. to be divisible by 8, last three digits of the number should be divisible by 8)	Choose the correct choice from the following choices: A) 30 B) 28 C) 26 D) 32 E) 34

Solution: 1st place can be filled in 4 no of ways (except 0)   2nd place can be filled in 3 no of ways   last 3 places can be filled in 18 no of ways   total   4*3+18= 
  4*3+18 = 30
30   30NSWER:30
Answer: A
A clock loses a minute every three hours for 4 days and gains 1% in the subsequent 5 days. If it was set right on Friday at 11 AM, what will be the time at the end of 10 days?
Choose the correct option.
A) 11:54:40 AM	B) 11:56:24 AM	C) 11:40:00 AM	D) 11:54:24 AM	E) 12:06:36 PM

Solution: Clock loses: 1 minute in 3 hours = 8 minutes in 24 hours = 32 minutes in 4 days.   Clock gains: 1% in the subsequent 5 days = 1% in 5*24*60 minutes = 72. minute in 5 days;   Net gain in 9 days = 72 - 32= 
72 - 32 = 40
40 minutes.   11AM + 40 minutes= 11:40   Answer: 11:40:00 AM.
Answer: C
√{(2.4)(10^9)} is closest to which of the following?	Choices:
A) 35,000	B) 50,000	C) 75,000	D) 90,000	E) 120,000

Solution: √{(2.4)(10^9)} = √{(24)(10^8)} = √(24)√(10^8) = (√24) * 10,000 which is almost 50,000.   The answer is 50,000.
Answer: B
From 6 positive numbers and 6 negative numbers, how many groups R of 4 numbers, yielding a positive product, can be formed?
Select:
A) 720
B) 625
C) 30
D) 960
E) 255

Solution: Potential combinations of 4 numbers that will yield positive product   ++++ 4C6   ---- 4C6   ++-- 2C6*2C6   4C6 + 4C6 + 2C6*2C6   R=15 +15 + 15*15= 
15 +15 + 15*15 = 255
255=255
Answer: E
Claire can paint the living room in 7 hours and Barry can paint the living room in 5 hours. How many hours will it take for both of them working together to paint the living room?  Choices
A) 2  B) 2 11/12  C) 3 5/11  D) 4 1/2  E) 5

Solution: Work hrs=A2 11/12/(A+2 11/12)= 35/12 =2 11/12   Answer is 2 11/12
Answer: B
A man can hit a target once in 4 shots. If he fires 4shots in succession, how many ways that he will hit his target?
Choose the correct choice:
A) 71/234
B) 81/133
C) 81/343
D) 81/256
E) 91/324

Solution: The man will hit the target if he hits it once or twice or thrice or all four times in the four shots that he takes.   So, the only possibility when the man will not hit the target is when he fails to hit the target in even one of the four shots that he takes.   The event of not hitting the target even once is the complement of the event of hitting the target at least once.   The probability that he will not hit the target in any given shot = 1 - 1414 = 3434   Therefore, the probability that he will not hit the target in any of the four shots = 3434 * 3434 * 3434 * 3434 = 81/256   81/256
Answer: D
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 50, the dividend is: Pick.
A) 5336	B) 5340	C) 5342	D) 5345	E) 6300

Solution: Divisor = (5 * 50)= 
(5 * 50) = 250
250= 10 * Quotient = Divisor   => Quotient = 250/10= 
250/10 = 25
25   Dividend= (Divisor * Quotient) + Remainder   Dividend = (250 * 25) + 50= 
(250 * 25) + 50 = 6_300
6300.   6300
Answer: E
Two persons start running simultaneously around a circular track of length 600 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
Choose the correct choice from the following
A) 11
B) 54
C) 28
D) 27
E) 12

Solution: Time taken to meet for the first time anywhere on the track   = length of the track / relative speed   = 600 / (15 + 25)5/18 = 600* 18 / 40 * 5 = 54 seconds.   Answer: 54
Answer: B
If x and y are integers and xy = 330, x or y must be divisible by which of the following? Choose the correct option: A) 4 B) 6 C) 11 D) 20 E) 30

Solution: xy = 330 = 2 * 3 * 5 * 11   One of x or y must be divisible by 11.   The answer is 11.
Answer: C
The area of a triangle will be when a = 3m, b = 4m, c = 5m, a, b, c being lengths of respective sides?  Choose the correct choice:
A) 3
B) 6
C) 4
D) 9
E) 1

Solution: S = (3 + 4 + 5)/2= 
(3 + 4 + 5)/2 = 6
6 Answer:6
Answer: B
Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?  Choose the correct answer
A) 5/11 B) 6/11 C) 7/11 D) 8/11 E) 9/11

Solution: Part filled by (A + 6/11 + C) in 3 minutes = 3(1/30 + 1/20 + 1/10) = 11/20   Part filled by C in 3 minutes = 3/10   Required ratio = 3/10 * 20/11 = 6/11   ANSWER:6/11
Answer: B
A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 2 years ago? Choose the correct answer:
A) 8 B) 10 C) 12 D) 14 E) 16

Solution: Let's say   Age of Richard isR   Age of David isD   Age of Scott isS   Now   Richard is 6 years older than David,   i.e. R = D +6   David is 8 years older than Scott   i.e. D = S +8   If in 8 years, Richard will be twice as old as Scott   i.e. R+8 = 2x(S+8)   i.e. R+8 = 2S + 16   i.e. R = 2S+8   But R = D+6 = (S+8)+6 = S+14   therefore, 2S + 8 = S +14   i.e. S = 6   i.e. R = 20   i.e. D = 14   Now,   how old was David 2 years ago?   i.e. D-2 = 14-2= 
14-2 = 12
12 years   Answer: Option   12
Answer: C
Look carefully for the pattern, and then choose which pair of numbers comes next.
28 25 5 21 18 5 14  Choose the correct option:  A) 11 5  B) 10 7  C) 11 8  D) 5 10  E) 10 5

Solution: Explanation: This is an alternating subtraction series with the interpolation of a random number, 5, as every third number. In the subtraction series, 3 is subtracted, then 4, then 3, and so on.   11 5nswer: Option 11 5
Answer: A
A fruit drink is made of orange, watermelon, and grape juice, where 25 percent of the drink is orange juice and 40 percent is watermelon juice. If the drink is made with 105 ounces of grape juice, how many ounces is the drink total?
Pick:
A) 220
B) 250
C) 280
D) 300
E) 340

Solution: Let the total number of ounces in the drink be x.   % of orange = 25%   % of watermelon = 40%   % of grape = 100% - 65% = 35%   0.35x 100  - 65= 
100  - 65 = 35
35%   0.35x= 105   x = 300   Therefore there are a total of 300 ounces in the drink.   The answer is 300.
Answer: D
In an election, candidate A got 75% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favor of candidate. Choose the correct answer
A) 330000  B) 340000  C) 347000  D) 356000  E) 357000

Solution: Total number of invalid votes = 15 % of 560000   = 15/100 × 560000   = 8400000/100= 
8400000/100 = 84_000
84000   Total number of valid votes 560000 – 84000= 476000   Percentage of votes polled in favour of candidate A = 75 %   Therefore, the number of valid votes polled in favour of candidate A = 75 % of 476000   = 75/100 × 476000   = 35700000/100= 
35700000/100 = 357_000
357000   357000)
Answer: E
A sum of money triples itself in twelve years at simple interest. Find the rate of interest? Select the correct option.
A) 16 2/7 % B) 16 8/3 % C) 17 2/3 % D) 11 2/3 % E) 16 2/3 %

Solution: Let the pricipal be Rs. x, then amount = 3x(where R = rate of interest) => Interest = 3x - x = Rs. 2x   R = (100 * 2x)/(x * 12) = 50/3 % = 16 2/3 %.Answer: 16 2/3 %
Answer: E
In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?	Choose the correct choice from the following answers.
A) 720 B) 850 C) 200 D) 365 E) 750

Solution: The word 'LEADING' has 7 different letters.   When the vowels EAI are always together, they can be supposed to form one letter.   Then, we have to arrange the letters LNDG (EAI).   Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways.   The vowels (EAI) can be arranged among themselves in 3! = 6 ways.   Required number of ways = (120 x 6) = 720.   720NSWER 720
Answer: A
Five years ago the average of the ages of A and B was 20 years and now the average of the ages of B and C is 48 years. What will be the age of the B ten years hence?  Pick.
A) 45 years  B) 55 years  C) 57 years  D) we cannot determined  E) None of these

Solution: Let the present ages of A, B and C be a, b and c respectively.   Given, [(a - 5) + (b - 5)] / 2 = 20 => a + b = 50 --- (1)   (b + c)/2 = 48 => b + c = 96 --- (2)   From (1) and (2), we cannot find b.   ANSWER:we cannot determined
Answer: D
If a boat is moving in upstream with velocity of 14 km/hr and goes downstream with a velocity of 40
km/hr, then what is the speed of the stream ?  Choose the correct choice from the following answers:	A) 13	B) 44	C) 55	D) 6	E) 77

Solution: 13 km/hr   13nswer:13
Answer: A
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is?  Choose the correct answer.
A) 299	B) 217	C) 698	D) 277	E) 161

Solution: S.I. for 1 year = (854 - 815) = Rs. 39   S.I. for 3 years = 39 * 3 = Rs. 117   Principal = (815 - 117) = Rs. 698.Answer:698
Answer: C
Evaluate: 1182 - 12*3*2 =? Choices.
A) 674	B) 574	C) 174	D) 274	E) 374

Solution: According to order of operations, 12?3?2 (division and multiplication) is done first from left to right   12**2 = 4* 2= 
4* 2 = 8
8   Hence   1182 - 12*3*2= 1182 - 8 = 174   correct answer 174
Answer: C
10 camels cost as much as 24 horses, 26 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants. If the cost of 10 elephants is Rs.170000, find the cost of a camel?	Choose the correct answer.
A) Rs.6184.5	B) Rs.4184.5	C) Rs.5700	D) Rs.4284.5	E) Rs.5184.5

Solution: Cost of the camel = P   10 camels = 24 horses   26 horses = 4 oxen   6 oxen = 4 elephants   10 elephants = Rs.170000   P = Rs.[(24 * 4 * 4 * 170000)/(10 * 26 * 6 * 10)]   P = Rs.(65280000/15600) => P = Rs.4184.5   ANSWER:Rs.4184.5
Answer: B
A driver would have reduced the time it took to drive from home to the store by 1/4 if the average speed had been increased by 12 miles per hour. What was the actual average speed, in miles per hour, when the driver drove from home to the store?	Choose the correct choice from the following choices.
A) 24 B) 28 C) 32 D) 36 E) 40

Solution: Since the distance remains the same (we're just changing the rate and time), any increase in rate or time is met with a decrease in the other term. 36ecreasing the time by 1/4 would give us:   36 = (R)(T) = (3T/4)(x*R)   x = 4/3 since (3T/4)(4R/3) = (R)(T) = 36   4R/3 = R + 12   R/3 = 12   R= 36   The answer is 36.
Answer: D
A man has Rs. 544 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 ?  Select.
A) 80 B) 90 C) 95 D) 98 E) 102

Solution: Let number of notes of each denomination be x.   Then x + 5x + 10x = 544   16x = 544   x = 34.   Hence, total number of notes = 3x = 102   102
Answer: E
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?
Pick one
A) 27 7/8 B) 27 7/6 C) 27 7/4 D) 27 7by9 E) 27 7/1

Solution: Relative speed = (40 - 20)= 
(40 - 20) = 20
20 km/hr.= 20 * 5/ 18 = 50/9 m/sec.   Length of faster train = 50/9 * 5 = 250/9 = 27 7/9 m.   Answer: 27 7by9
Answer: D
20 throws of a die produces following results
SCORE -- NUMBER OF OCCURRENCES
---1-------------------4
---2-------------------3
---3-------------------5
---4-------------------2
---5-------------------2
---6-------------------4
What is the probability M that one more throw to this series will increase the mean score? Select the correct option:	A) 1/6	B) 1/3	C) 1/2	D) 2/3	E) 5/6

Solution: I get the mean as 67/20 --> 3.35. Thus in order to raise this mean we would need a 4,5,or 6.   Thus probability Mis 1/2.1/2
Answer: C
The 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 ?	Choose the correct answer
A) 75 kg
B) 65 kg
C) 55 kg
D) 85 kg
E) 25 kg

Solution: Total weight increased = (8 x 2.5) kg = 20 kg.   Weight of new person = (65 + 20)= 
(65 + 20) = 85
85 kg.   Answer: 85 kg
Answer: D
A restaurant meal cost $30.5 and there was no tax. If the tip was more than 20 percent but less than 30 percent of the cost of the meal, then the total amount paid must have been between Choose the correct option
A) $40 and $42 B) $39 and $41 C) $38 and $40 D) $37 and $39 E) $36 and $39

Solution: The total amount for the meal was between 30.5*1.2= 
30.5*1.2 = 36.6
36.6 and 30.5*1.3=~39.65. Only option which covers all possible values of the meal is D.   Answer: $37 and $39.
Answer: D
If the average of 9 consecutive number is T. How much will the average increase by if the next 3 consecutive numbers are also added?	Pick:
A) 3
B) 1.5
C) 2.5
D) Can’t be determined
E) None of these

Solution: DETAILED SOLUTION   Let the numbers be n, n+1, n+2……………….n+8   Average of these numbers = n + 4   When n +9, n+10, n+11 are added, the difference of these numbers from the earlier average = 5, 6, 7 respectively = 18   This 18 will increase the average by 18/15 = 1.5   CORRECT ANSWER 1.5
Answer: B
Two pipes A and B can fill a tank in 40 and 120 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank? Select the correct option.
A) 30
B) 35
C) 25
D) 82
E) 22

Solution: Part filled by A in 1 min. = 1/40   Part filled by B in 1 min. = 1/120   part filled by (A + B) in 1 min. = 1/40 + 1/120 = 1/30.   Both the pipes can fill the tank in 30 minutes.   30nswer: 30
Answer: A
100 oranges were bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen. What is the percentage of profit or loss? Choose one:
A) 19 2/7% B) 17 2/7% C) 14 2/7% D) 15 2/7% E) 5 15/17%

Solution: 100*48/12*350-1)100=1/7*100=14 2/7%   i.e., profit percentage =14 2/7%   Answer : 14 2/7%
Answer: C
Albert buys 4 horses and 9 cows for Rs. 13,400. If he sells the horses at 10% profit and the cows at 20% profit, then he earns a total profit of Rs. 1880. The cost of a horse is?  Choose the correct option:	A) 2987	B) 2000	C) 2789	D) 7999	E) 7389

Solution: Let C.P. of each horse be Rs. x and C.P. of each cow be Rs. y.   Then, 4x + 9y = 13400 -- (i)   And, 10% of 4x + 20% of 9y = 1880   2/5 x + 9/5 y = 1880 => 2x + 9y = 9400 -- (ii)   Solving (i) and (ii), we get : x = 2000 and y = 600.   Cost price of each horse   = Rs.2000.   Answer: 2000
Answer: B
The monthly salaries of six employees in a company are $1000, $2500, $3100, $3650, $1500, $2000. What is the mean of the salaries of 6 employees.	Choose the correct choice from the following choices:
A) $2291.7 B) $1546.8 C) $2546.5 D) $1879.3 E) $3125.3

Solution: mean of the salaries = ($1000+ $2500+ $3100+ $3650+ $1500+ $2000)/6 = 13750/6 = $2291.7   $2291.7nswer is $2291.7
Answer: A
If q and d are both integers, q>d, and -3q>19, then the largest value of d would be?	Select the correct option:  A) -5  B) -6  C) -7  D) -8  E) -10

Solution: No, your thinking is incorrect. When we know that q>d and q<-6.33, the largest value of q can be -7 while if q=-7, then largest value of d < -7 will be -8.For negative numbers, -7 > -8 and -8> -10.   You are right in saying that d can take any value less than -7 ---> d could be -8, -9, -10 .... and out of all these values, -8 is the greatest.   Look at the numbers on the number line. For any 2 numbers, the ones on the right are greater than the ones on the left:   .......-11 -10 -9 -8 -7 -6 -5 ..... 0 1 2 3 4 5 6 ... (-11< -10, -10< -8, 4< 5 etc).   So, as per the question if d<q and q = -7 , then d's largest 'possible' value has to be -8.   -10 is smaller than -8=-8
Answer: D
A waitress's income consists of her salary and tips.During one week ,her tips were 7/4 of her salary.What fraction of her income for the week came from tips?  Select: A) 1/9 B) 1/6 C) 2/3 D) 4/9 E) 7/11

Solution: Her tips were 7/4 of her salary.   Let's say her salary =$4   This mean her tips = (7/4)($4) =$7   So, her TOTAL INCOM7/11 =$4+$7=$11   What fraction of her income for the week came from tips   $7/$114+ 7= 
4+ 7 = 11
$11   What fraction of her income for the week came from tips   $7/$11= 7/11   = 7/11
Answer: E
The length of a room is 5.5 m and width is 3.75 m. Find the cost of paving the floor by slabs at the rate of Rs. 800 per sq. metre.	Answers:
A) Rs. 15000
B) Rs. 15550
C) Rs. 15600
D) Rs. 16500
E) None of these

Solution: Solution   Area of the floor = (5.5 × 3.75) m2 = 20.625 m2   ∴ Cost of paving = Rs. (800 × 20.625) = 16500. Answer Rs. 16500
Answer: D
How many 3-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARIT', if repetition of letters is not allowed?	Choose the correct answer.
A) 690 B) 210 C) 740 D) 760 E) 780

Solution: The word 'LOGARIT' has 7 different letters.   Hence, the number of 3-letter words(with or without meaning) formed by using these letters   = 7P3   =   7   ×   6×   5   =   210   Option 210
Answer: B
What is theleast number should be added to 1056, so the sum of the number is completely divisible by 23? Choose the most appropriate option:
A) 1  B) 2  C) 5  D) 6  E) 8

Solution: (1056 / 23) gives remainder 21   21 + 2= 
21 + 2 = 23
23, So we need to add 2   2
Answer: B
. A and B are partners in a business. A contributes 1/4 of the capital for 15 months and B received 2/3 of the profit . For how long B’s money was used.	Choose the correct choice from the following choices.
A) 33
B) 27
C) 10
D) 8
E) 82

Solution: Explanation:   B received 2/3 of the profit ⇒Their profits ratio = A : B = 1 : 2   Let the total capital = 4 units   Then A's capital = 1   B's capital = 3   Assume B's money was used for b months   Then A : B = 1 × 15 : 3 × b = 1 : 2   ⇒ 15 : 3b = 1 : 2   ⇒ 153b=12153b=12   ⇒ b = 10   Answer: 10
Answer: C
Instead of multiplying a number by 7, the number is divided by 7. What is the percentage of error obtained ?
Options:	A) 97.959%	B) 98.959%	C) 99.959%	D) 96.959%	E) 95.959%

Solution: let the number be x   the right number is 7x   the wrong number is x/7   error is(7x-x/7)=48x/7   percentage of error is((48x/7)/7x)*100=97.959%   97.959%NSWER:97.959%
Answer: A
A certain ski shop sells pairs of gloves in 9 different colors. If one pair of each color is dropped in a bag and a store clerk reaches in to draw two individual gloves simultaneously and at random, what is the probability that she draws two gloves of the same color?	Choose the correct choice from the following
A) 1/144 B) 1/143 C) 1/24 D) 1/23 E) 1/17

Solution: there are 9 different colours sothere are 9 pairs of gloves dropped..   first can be any of 18..so 18/18..   second has to be its pair, which will be just one out of remaining 17.. 1/17..   overall prob=18/18*1/17= 1/17..   1/17
Answer: E
If 85 percent of the test takers taking an old paper and pencil GMAT exam answered the first question on a given math section correctly, and 75 percent of the test takers answered the second question correctly, and 15 percent of the test takers answered neither question correctly, what percent answered both correctly? Choose the correct choice from the following options.
A) 60 %  B) 65 %  C) 70%  D) 75%  E) 80%

Solution: {Total} = {First correctly} + {Second correctly} - {Both correctly} + {Neither correctly}   100 = 85 + 75 - {Both correctly} + 15   {Both correctly} = 75.   Answer: 75%.
Answer: D
The unit digit in the product (635 * 767 * 984 * 489) is:  Choices:
A) 0	B) 8	C) 3	D) 2	E) 1

Solution: Explanation:   Unit digit in the given product = Unit Digit in (5*7*4*9) = 0   0NSWER: 0
Answer: A
If b does not equal zero, and ab = b/8, what is the value of a? Choose the correct choice from the following.
A) A)1/8	B) B)1/4	C) C)1/3	D) D)1/2	E) of the above

Solution: Explanation:   To solve for a, divide both sides of the equation by b: ab = b/8   (ab)/b = (b/8)/b   a = (b/8)*1/b   a = 1/8   1/8nswer: (1/8).
Answer: A
A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?	Select the correct option.
A) 11
B) 22
C) 44
D) 55
E) 79

Solution: g% = 20 + 20 + (20*20)/100= 
20 + 20 + (20*20)/100 = 44
44%   Answer:44
Answer: C
The average weight of 8 person's increases by 3.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person? Pick:  A) kg  B) 70 kg  C) 80 kg  D) 90 kg  E) 93 kg

Solution: Total weight increased = (8 x 3.5) kg = 28 kg.   Weight of new person = (65 + 28)= 
(65 + 28) = 93
93 kg.   93 kg)
Answer: E
Tom found a box of 220 baseball cards. Being a thoughtful older brother, he wanted to save at least 80 percent of the cards for himself and split the remaining cards evenly among his 4 younger brothers. What is the lowest possible number of cards that Tom can save for himself that will also allow each of his 4 younger brothers to get an equal number of cards?
Choose the most appropriate option:
A) 110 B) 112 C) 116 D) 118 E) 122

Solution: This question can be easily solved by looking at the options.   Assuming number of cards to be x   We need to find the option for which (1/4)*(4x/5) is an integer   Or x/5 is an integer.   Hence we need the lowest multiple of 5 from the given options.   Let us start from the lowest value:   Option A: 110. This is a multiple of 5 Hence the correct answer.   Correct Option: 110
Answer: A
Mary’s annual income is $15,000 and John’s annual income is $18,000. By how much must Mary’s annual income increase so that it constitutes 70% of Mary and John’s combined income?  Choose the correct choice from the following options
A) $3,000 B) $4,000 C) $7,000 D) $11,000 E) $27,000

Solution: Let Mary's income increase by x, then the equation will be   15,000 + x= (70/100)* (15,000 + x + 18000 )   15,000 + x = (14/20) * (33,000 + x)   300,000 + 20x = 14x + 462,000   6x = 162,000   x = 27,000   So, Answer will be $27,000
Answer: E
In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?	Choose the correct choice from the following answers
A) 610  B) 720  C) 825  D) 920  E) None of these

Solution: Explanation :   The word 'OPTICAL' has 7 letters. It has the vowels 'O','I','A' in it and these 3 vowels   should always come together. Hence these three vowels can be grouped and considered as a   single letter. That is, PTCL(OIA).   Hence we can assume total letters as 5. and all these letters are different.   Number of ways to arrange these letters = 5! = [5 x 4 x 3 x 2 x 1] = 120   All The 3 vowels (OIA) are different   Number of ways to arrange these vowels among themselves = 3! = [3 x 2 x 1] = 6   Hence, required number of ways = 120 x 6 = 720. Answer : Option 720
Answer: B
A rectangular plot measuring 15 meters by 50 meters is to be enclosed by wire fencing. If the poles of the fence are kept 5 meters apart. How many poles will be needed?
Pick:
A) 46m B) 26m C) 26m D) 56m E) 25m

Solution: Perimeter of the plot = 2(15+50) = 130m   no of poles =130/5= 
130/5 = 26
26m   Answer: 26m
Answer: B
How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction?  Pick one:
A) 50 B) 99 C) 88 D) 77 E) 51

Solution: The distance to be covered = Sum of their lengths = 200 + 300= 
200 + 300 = 500
500 m.   Relative speed= 72 -36= 
72 -36 = 36
36 kmph= 36 * 5/18= 
36 * 5/18 = 10
10 mps.   Time required= d/s = 500/10= 
500/10 = 50
50 sec.   50nswer: 50
Answer: A