MU-NLPC/Calc-aqua_rat huggingface dataset:
A company, Chauncy Co., has an annual travel budget of $57,000. The accounting department estimates that transportation expenses will increase 5 percent in the coming year, and nontransportation travel expenses will increase by 15 percent in the coming year. Last year, Chauncy Co. spent $19,500 on transportation-related expenses, and $35,000 on nontransportation travel expenses. If the annual travel budget does not increase this year, and if the accounting department’s estimates are correct, how far over the annual travel budget will expenses be this year? Choose the correct choice from the following answers:
A) $3,725	B) $500	C) $4,225	D) $5,725	E) $60,725

Solution: annual travel budget of $57,000   Let, Transportation expenses = T = 19500   and Non-Transportation expenses = N=35000   i.e. Increased Transportation expenses = 1.05T = 20475   and Increased Non-Transportation expenses = 1.15N = 40250   Total Expense = 20475+40250= 
20475+40250 = 60_725
60725   Expense over Budget= Budget - expense = 57000-60725 = 3725   $3,725nswer: Option $3,725
Answer: A
At what time between 2 and 3 o'clock will the hands of a clock be together?
Choose the correct choice from the following answers:
A) (10 + 10/11) min past 8 B) (10 + 10/11) min past 2 C) (10 + 10/11) min past 3 D) (10 + 10/11) min past 1 E) (10 + 10/11) min past 4

Solution: At 2 o'clock, the hour hand is at 2 and the minute hand is at 12, i.e. they are 10 min spaces apart.   To be together, the minute hand must gain 10 minutes over the hour hand.   Now, 55 minutes are gained by it in 60 min.   10 minutes will be gained in min. = min.   The hands will coincide at min. past 2.   Answer: (10 + 10/11) min past 2
Answer: B
A man misses a bus by 40 minutes if he travels at 30 kmph. If he travels at 40 kmph, then also he misses the bus by 10 minutes. What is the minimum speed required to catch the bus on time?  Choose the correct choice from the following options:	A) 11	B) 45	C) 77	D) 44	E) 17

Solution: Let the distance to be travelled to catch the bus be x km   x/30 - x/40 = 30/60 => (4x - 3x)/120 = 1/2 => x = 60 km   By traavelling 30 kmph time taken = 60/30= 
60/30 = 2
2 hours   By taking 2 hours, he is late by 40 min. So, he has to cover 60 km in at most speed= 60/(4/3)= 
60/(4/3) = 45
45 kmph.   Answer: 45
Answer: B
From 4 officers and 8 jawans in how many can 6 be chosen to include exactly one officer? Choose the correct choice from the following answers: A) 150 B) 164 C) 259 D) 311 E) 224

Solution: Required number of ways = 4C1 * 8C5 = 224   Answer is 224
Answer: E
A taxi company costs $2.75 for the first quarter-mile and 12.5 cents for each additional quarter mile. What is the maximum distance you can travel with $6.50?
Choose the most appropriate option:
A) 4 miles
B) 5 3/4 miles
C) 6 1/2 miles
D) 7 3/4 miles
E) 8 1/4 miles

Solution: Use reverse calculation-   Total Cost = Fixed Cost ( For 1/4 miles ) + Variable cost ( 7 3/4 milesistance Travelled )   Or, 6.50 = 2.75 + 0.125 * d   Or, 3.75 = d/8   Or, d = 30 quarter miles   So, Total 7 3/4 milesistance = ( 30 + 1 ) Quarter miles   So, 7 3/4 milesistance = 31/4 => 73/4 miles   Hence answer will be (7 3/4 miles)
Answer: D
A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 660 m long?	Choose the correct option
A) 22	B) 90	C) 277	D) 278	E) 291

Solution: Speed = 240/24= 
240/24 = 10
10 m/sec.   Required time= (240 + 660)/10= 
(240 + 660)/10 = 90
90 sec.   Answer: 90
Answer: B
Rajesh solved 80 per cent of the questions in an examination correctly. If out of 41 questions solved by Rajesh 37 questions are correct and of the remaining questions out of 8 questions 5 questions have been solved by Rajesh correctly then find the total number of questions asked in the examination.
Choose the correct choice from the following options:
A) 75 B) 65 C) 60 D) Cannot be determined E) None of these

Solution: Suppose there are 8x questions a part from the 41 questions.   Then, 37+5x/41+8x=80%=45   ⇒ 185 + 25x = 164 + 32x ⇒ 7x= 21 ⇒ x = 3   ∴ Total no.of questions = 41 + 8x = 65   Answer 65
Answer: B
On rainy mornings, Mo drinks exactly N cups of hot chocolate (assume that N is an integer). On mornings that are not rainy, Mo drinks exactly 5 cups of tea. Last week Mo drank a total of 22 cups of tea and hot chocolate together. If during that week Mo drank 8 more tea cups than hot chocolate cups, then how many rainy days were there last week?	Choose one
A) 2  B) 4  C) 3  D) 5  E) 6

Solution: T= the number of cups of tea   C= the number of cups of hot chocolate   T+C = 22 T-C=8 -> T= 15. C=7.   Mo drinks 5 cups of tea a day then number of days that are not rainy = 15/5= 
15/5 = 3
3   So number of rainy days= 7-3= 
7-3 = 4
4   4 is the answer.
Answer: B
Two trains of equal length 120 metres move in the same direction. The faster train completely
overtakes the slower one in 15 seconds. If the slower train were to move at half its speed, the over
taking would take in 10 seconds. At what speeds are the 2 trains moving ? Choose one: A) 24,22 B) 32,16 C) 30,18 D) 28,14 E) None of these

Solution: Explanation :   The total distance covered for over taking = length of the two trains = 120 +120= 
120 +120 = 240
240   Speed of faster train be x m/s and slower train be y m/s   In the first case Relative speed= x-y   Relative Speed = Distance / Time taken = x-y = 240/15= 
240/15 = 16
16 m/s(1)   In the second case, the slower train moves at half its speed   Relative Speed= x-0.5y = 240/10= 
240/10 = 24
24 m/s ..(2)   Solving equation 1 & 2 we get x= 32 and y = 16 .   The speed of the faster and slower trains are 32 m/s and 16 m/s respectively   Answer : 32,16
Answer: B
How many liters of water must be evaporated from 50 liters of a 4 percent sugar solution to get a 10 percent sugar solution? Choose the correct answer:
A) 15  B) 20  C) 25  D) 28  E) 30

Solution: Let x be the amount that needs to be evaporated.   0.04(50) = 0.1(50-x)   0.1x = 5 - 2= 
5 - 2 = 3
3/0.1= 
3/0.1 = 30
30 liters   The answer is 30.
Answer: E
Train A left Centerville Station, heading toward Dale City Station, at 3: 00 p.m. Train B left Dale City Station, heading toward Centerville Station, at 2: 20 p.m. on the same day. The trains rode on straight tracks that were parallel to each other. If Train A traveled at a constant speed of 30 miles per hour and Train B traveled at a constant speed of 10 miles per hour, and the distance between the Centerville Station and Dale City Station is 90 miles, when did the trains pass each other?	Choose the most appropriate option.
A) 4: 45 p.m.  B) 5: 00 p.m.  C) 5: 20 p.m.  D) 4: 20 p.m.  E) 6: 00 p.m.

Solution: the distance travelled by the train A in first 20 minutes will be 10.   The distance which will be remaining is 80.   Now both trains are running in opposite direction.Their speed will be added so 40.   Time at which they will meet =80/40= 
80/40 = 2
2   time of train B will be 2:20 +2=4:20   Hence answer is 4: 20 p.m..Hope i am correct
Answer: D
Mrs. Rodger got a weekly raise of $155. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Choose the most appropriate option
A) $ 145. B) $ 146 C) $ 147 D) $ 155 E) None

Solution: Solution:   Let the 1st paycheck be x (integer).   Mrs. Rodger got a weekly raise of $ 155.   So after completing the 1st week she will get $ (x+155).   Similarly after completing the 2nd week she will get $ (x + 155) + $ 155.   = $ (x + 155 + 155)   = $ (x + 310)   So in this way end of every week her salary will increase by $ 155.   Answer $ 155
Answer: D
A = {0, 1, -3, 6, -8, -10}
B = {-1, 2, -4, 7, 6, -9}
If a is a number that is randomly selected from Set A, and b is a number that is randomly selected from Set B, what is the probability that ab < 0?
Choose the correct option:
A) 1/4 B) 1/3 C) 5/13 D) 5/12 E) 1/2

Solution: For the product of 2 numbers to be negative either of them must be positive or negative:   P(positive, negative) = 2/6*3/6 = 6/36;   P(negative,positive ) = 3/6 * 3/6 = 9/36   P = 6/36 + 9/36   P = 15/36   P = 5/12   Answer: 5/12
Answer: D
How many integers between 0 and 1000 DO NOT contain the integer 1
Select.
A) 727
B) 728
C) 758
D) 748
E) 792

Solution: from 1 to 99 = 19 integers having 1   from 101 to 199 = all are having 1   similarly 201-299, 301-399, 401-499,.....so on, will have 19 integers having 1   Answer = 1000 - (19*9 + 99 + 2) // 2 is added for 100 and 1000   = 728   ANSWER:728
Answer: B
It takes John 10 minutes to walk to the car park and 45 to drive to work. At what time should he get out of the house in order to get to work at 9:00 a.m.? Choose the correct choice from the following options.
A) 5:44 B) 7:35 C) 7 D) 5 E) 6

Solution: The time it takes John to get to work: time to walk to car park + time to drive     25 + 45= 
  25 + 45 = 70
70 minutes= 1 hour and 10 minutes   John needs to get out of the house 1 hour and 10 minutes before 9:00 am at   9:00 - 1:10 = 7:35 a.m.   7:35
Answer: B
When 0.535353 ... is converted into a fraction, the result is
Choose the correct choice.
A) 5/17 B) 20/9 C) 53/99 D) 53/100 E) None of these

Solution: Explanation:   0.535353..... = 0.53   = 53/99   ANSWER: 53/99
Answer: C
In expressing a length 81.489 km as nearly as possible with three significant digits, find the percentage error?
Options:	A) 0.075%	B) 0.156%	C) 0.013%	D) 0.048%	E) 0.152%

Solution: Error = 81.5-81.489= 
81.5-81.489 = 0.011
0.011   Required percentage= (0.011/81.489)*100 = 0.013%   Answer is 0.013%
Answer: C
Find the odd man out 15, 25, 30, 34, 40, 65, 75.
Choices.
A) 15 B) 34 C) 50 D) 75 E) None of these.

Solution: Each of the numbers is multiple of 5 except 34, not divisible by 5.   3*5= 
3*5 = 15
15   5*5= 
5*5 = 25
25   8*5= 
8*5 = 40
40   13*5= 
13*5 = 65
65   14*5= 
14*5 = 70
70   ANSWER: 34
Answer: B
Find the circumference and area of radius 13 cm.  Choose one:
A) 124 cm²
B) 531 cm²
C) 354 cm²
D) 584 cm²
E) 594 cm²

Solution: Area of circle = πr²   = 22/7 × 13 × 13 cm²   = 531 cm²   ANSWER:531 cm²
Answer: B
Car X began traveling at an average speed of 35 miles per hour. After 72 minutes, car Y began traveling at an average speed of 70 miles per hour. When both cars had traveled the same distance, both cars stopped. How many miles did car X travel from the time car Y began traveling until both cars stopped?	Choose the correct choice from the following answers:	A) 15	B) 20	C) 40	D) 42	E) 68

Solution: Car Y began travelling after 72 minutes or 1.2 hours.   Let t be the time for which car Y travelled before it stopped.   Both cars stop when they have travelled the same distance.   So,   35(t+1.2) = 70t   t=1.2   42istance traveled by car X from the time car Y began traveling until both cars stopped is   35 x 1.2   = 42 miles   Answer:- 42
Answer: D
Krishan and Nandan jointly started a business. Krishan invested three times as Nandan did and invested his money for double time as compared to Nandan. Nandan earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was? Choose the correct choice:
A) 228878
B) 27771
C) 28867
D) 28,000
E) 267781

Solution: 3:1   2:1   ------   6:1   1 ----- 4000   7 ----- ? => Rs.28,000   Answer:28,000
Answer: D
On flipping 3 coins together what is the outcomes for at least three head and three tail?	Choose the most appropriate option.
A) 1/7  B) 2/8  C) 3/11  D) 4/13  E) 5/13

Solution: Sample space, S = {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}   Favorable outcomes for at least two heads   = favorable outcomes for exactly two heads and favorable outcomes for more than two heads   = {HHH,TTT}   2/8   2/8
Answer: B
Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.
Select:
A) 276	B) 209	C) 285	D) 267	E) 123

Solution: Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them)   = 1/2 (20 + 18) * (15)   = 285 cm2   Answer: 285
Answer: C
John takes 6 hrs to print 32 pages. Peter takes 5hrs to print 40 pages. In how many hours they will print 110 pages together ?
Choices:
A) 7 hours 15 minutes
B) 8 hours 15 minutes
C) 9 hours
D) 10 hours 15 minutes
E) 11 hours 15 minutes

Solution: Ram can type 32/6 pages per hour   Shaam can type 8 pages per hourThey can type 32/6 + 8 = 40/3 pages per hour   So they will take 110/40 × 3 = 33/4 hours or 8 hours 15 minutes   8 hours 15 minutes)
Answer: B
Convert 40miles into yards?  Choose the most appropriate option:
A) 25630 yards B) 35200 yards C) 39520 yards D) 42560 yards E) 70400 yards

Solution: 1 mile = 1760 yards   40 miles = 40*1760= 
40*1760 = 70_400
70400 yards   Answer is 70400 yards
Answer: E
A straight line in the xy-plane has a slope of 2 and a y-intercept of 2. On this line, what is the x-coordinate of the point whose y-coordinate is 540 ?  Options
A) 249
B) 498
C) 676
D) 269
E) 1,002

Solution: slope of 2 and a y-intercept of 2   y-coordinate is 540   y = 2x + 2   538 = 2x   x = 269   Answer:   D. 269
Answer: D
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train? Choose one:
A) 288 metres
B) 557 metres
C) 887 metres
D) 150 metres
E) 123 metres

Solution: Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train = (Speed x Time) = (50/3 * 9)= 
(50/3 * 9) = 150
150 m.Answer: 150 metres
Answer: D
Which one of the following numbers is exactly divisible by 11?	Pick:  A) 235641  B) 245642  C) 315624  D) 415624  E) 415625

Solution: (4 + 5 + 2) - (1 + 6 + 3)= 
(4 + 5 + 2) - (1 + 6 + 3) = 1
1, not divisible by 11.   (2 + 6 + 4) - (4 + 5 + 2)= 
(2 + 6 + 4) - (4 + 5 + 2) = 1
1, not divisible by 11.   (4 + 6 + 1) - (2 + 5 + 3)= 
(4 + 6 + 1) - (2 + 5 + 3) = 1
1, not divisible by 11.   (4 + 6 + 1) - (2 + 5 + 4)= 
(4 + 6 + 1) - (2 + 5 + 4) = 0
0.   So, 415624 is divisible by 11   ANSWER:415624
Answer: D
A boy wants to go abroad by boat and return by flight. He has a choice of 5 different boat to go and 5 flight to return. In how many ways, can the boy perform his journey? Choose the correct answer:
A) 20
B) 25
C) 30
D) 40
E) 50

Solution: Ans.(B)   Sol. Number of choices to go by ship = 5 Number of choices to return by airline = 5 From, fundamental principle, total number of ways of performing the journey = 5 x 5 = 25 ways
Answer: B
What is the average of first 21 multiples of 7 ?	Choose the correct answer:
A) 55 B) 66 C) 77 D) 88 E) 99

Solution: Explanation:   Required average = 7(1+2+….+21) / 21   (7/21)X ( (21×22) / 2 ) (because sum of first 21 natural numbers)   = 77   Answer: 77
Answer: C
The digit sum of the year 2007 is 2 + 0 + 0 + 7 = 9, which is a square number. How many years during the twenty-first century have a square digital sum?  Choose the correct choice: A) 13 B) 14 C) 15 D) 16 E) 17

Solution: The twenty-first century runs from the year 2001 to 2100 inclusive, so with the   exception of the year 2100, for which the digital sum is three anyway, the first two   digits of all the other years are fixed as 20. Hence for the sum of all the digits to be   square the sum of the last two digits number be two less than a perfect square.   As the maximum sum of the last two digits is 18, the greatest sum will be 20.   Therefore we can obtain digital sums of 4, 9, or 16, with the last two digits adding to   2, 7, or 14 respectively.   4: 2002, 2011, 2020   9: 2007, 2016, 2025, 2034, 2043, 2052, 2061, 2070   16: 2059, 2068, 2077, 2086, 2095   That is, there are sixteen years during the twenty-first century for which the digital   sum is square.   ANSWER:16
Answer: D
If x=kc and y=kt,then y+x =?	Choose the correct choice from the following:
A) k(t+c)
B) k(c-t)
C) c(k-t)
D) t(k-c)
E) k(1-t)

Solution: Just put in the given values of y and x   y - x = kt - kc   Now take k common   y - x = k(t + c)   You get (k(t+c)) as your answer.
Answer: A
If |r|=−r, which of the following must be true?
Choose the correct option
A) x≥0 B) r≤0 C) x2>x D) x3<0 E) 2x<x

Solution: |r| =-r means absolute value of r is equal to negative of r. Since absolute value cannot be negative hence negative of r should result in a non negative number. It means r is a non positive number i.e. r<0. Answer is r≤0
Answer: B
If the selling price of 80 articles is equal to the cost price of 40 articles, then the loss or gain percent is:  Choose the correct choice from the following options:
A) 30%	B) 35%	C) 50%	D) 55%	E) 40%

Solution: Let C.P. of each article be Re. 1.   Then, C.P. of 80 articles = Rs. 80;   S.P. of 80 articles = Rs. 40.   Loss % = 40/80 * 100= 
40/80 * 100 = 50
50%   ANSWER:50%
Answer: C
The measures of the 2 acute angles of a triangle are in the ratio of 1 : 8. What arethe measures of the 2 angles?	Answers
A) 20°  B) 80°  C) 110°  D) 120°  E) 140°

Solution: If the ratio of the two angles is 1:8, then the measures of two angles can be written as x and 8x. Also the two acute angles of a triangle is equal to 90°. Hence   x + 8x = 90   9x = 90   x = 10   Measures of the two acute angles are   x = 1 × 10 = 10°   8x = 8 × 10 = 80°   80°
Answer: B
For all positive integers n and m, the function A(n) equals the following product:
(1 + 1/2 + 1/2^2)(1 + 1/3 + 3^2)(1 + 1/8 + 8^2)…(1 + 1/p_n + 1/p_n^2), where p_n is the nth smallest prime number, while B(m) equals the sum of the reciprocals of all the positive integers from 1 through m, inclusive. The largest reciprocal of an integer in the sum that B(25) represents that is NOT present in the distributed expansion of A(5) is Choose the most appropriate option
A) 1/3
B) 1/5
C) 1/6
D) 1/7
E) 1/8

Solution: For all positive integers n and m,   A(n) = (1 + 1/2 + 1/2^2)(1 + 1/3 + 3^2)(1 + 1/5 + 5^2)…(1 + 1/p_n + 1/p_n^2), where p_n is the nth smallest prime number,   note:i think there's a typo in the above function, A(n) could be (1 + 1/2 + 1/2^2)(1 + 1/3 +1/3^2)(1 + 1/5 +1/5^2)…(1 + 1/p_n + 1/p_n^2)   B(m) = sum of the reciprocals of all the positive integers from 1 through m, inclusive.   A(5), here 5 represents the 5th smallest prime number; the 5th smallest prime number is 11 {2, 3, 5, 7, 11, ...}   A(5) = (1 + 1/2 + 1/2^2)(1 + 1/3 + 3^2)(1 + 1/5 + 5^2)(1 + 1/7 + 1/7^2)(1 + 1/11 + 11^2)   The distributed expansion of A(5) = 1 + 1/2 + 1/3 + 1/4 + 1/5 + 1/6 +1/7 + 1/9+ 1/10 + 1/11 +1/12 + 1/14+ ...   missing numbers are 1/8, 1/13, 1/16, ....   B(25) = (1 + 1/2 + 1/3 + 1/4 + ... + 1/16 + 1/17 + ... + 1/25)   here the largest reciprocal is 1 and the reciprocals are arranged in descending order based on their values   The largest reciprocal that present in B(25) but not in 1/3(5) is 1/3   1/3nswer 1/3
Answer: A
There is a sequence such that each term is positive integer and each digit of the terms in the sequence has 3 to be ordered, what is the value R of 100th term?
Choose the correct choice from the following answers: A) 126 B) 192 C) 232 D) 252 E) 342

Solution: (1~99) 19, (100~199)  19, (200~299) 19. The 100th term should be 100-(19+19+19)= 
100-(19+19+19) = 43
43th number. Hence, the correct answer R is 342. The correct answer is 342.
Answer: E
A mathematics teacher tabulated the marks secured by 35 students of 8th class. The average of their marks was 72. If the marks secured by Reema was written as 46 instead of 96 then find the correct average marks up to two decimal places.	Choose the correct choice from the following.
A) 73.41 B) 74.31 C) 73.42 D) 73.43 E) Cannot be determined

Solution: Total marks = 35 x 72 =2520   73.42orrected total marks = 2520 - 46 + 96= 
2520 - 46 + 96 = 2_570
2570   73.42orrect Average= 2570/35 = 73.42   Answer : 73.42
Answer: C
If x is an even integer, then which of the following is a true statement?  Choose the correct choice from the following.
A) x is a prime number
B) (x2 + 4) is an even integer
C) x is a Composite number
D) (x2 - 1) is an even integer
E) None of these

Solution: Explanation:   (x2 + 4) is an even integer   Answer: Option (x2 + 4) is an even integer
Answer: B
Each of five different locks has a matching key. The keys are randomly reassigned to the locks. What is the probability that exactly two of the keys fit the locks to which they are reassigned?
Choose the correct choice from the following answers:  A) 1/8  B) 1/6  C) 1/4  D) 3/8  E) 1/25

Solution: I was just going over probability questions.   can some one explain me what's wrong in my approach here.   Probability of choosing one right key out of 5 is 1/5.   Probability of choosing another right key is 1/5.   since the question is asking for 2 right keys , probability is multiplication of both = 1/5 * 1/5 = 1/25.   Ans 1/25
Answer: E
If a man can cover 30 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?  Choose the most appropriate option:
A) 118 km	B) 162 km	C) 1767 km	D) 1887 km	E) 405 km

Solution: 30 m/s = 30 * 18/5 kmph   3 hours 45 minutes = 3 3/4 hours = 15/4 hours   Distance = speed * time = 30 * 18/5 * 15/4= 
30 * 18/5 * 15/4 = 405
405 km.   Answer: 405 km
Answer: E
A grocery store recently raised the price of flour by 25% over the original price. If the owner then had a sale advertising 10% off, what would be the sale price if the original price was $20?  Choose the correct choice from the following choices.
A) $21.00	B) $21.50	C) $22.00	D) $22.50	E) $23.00

Solution: sale price = (original price + 25% increase) - 10% decrease   price = [20 * (125/100)] * (90/100) = 20 * (1.25) * (.90) = 25 * .9= 
25 * .9 = 22.5
22.50   The answer is $22.50.
Answer: D
Divide 71 into 2 parts such that 1 part exceeds the other by 8. What are the 2 no.'s in that part?  Answers.
A) 27  B) 28  C) 31  D) 35  E) 46

Solution: Let $let n$ be the smaller and 71 - n be the larger number. Now, since the larger number exceeds the smaller number by 7, we can form the equation   larger number – smaller number = 7   which is equivalent to   Simplifying, we have 71 - 2n = 7. This gives us 2n = 78 which implies that the larger number is . The smaller is 71-39=31.   31
Answer: C
A train passes a man standing on the platform. If the train is 140 meters long and its speed is 72 kmph, how much time it took in doing so?	Choose the correct choice from the following answers:  A) 6 Â½ sec  B) 6 Â½ sec  C) 9 Â½ sec  D) 7 sec  E) 7 Â½ sec

Solution: 7 sec   7 sec   7 sec = 140   S = 72 * 5/18= 
72 * 5/18 = 20
20 mps   T= 140/20= 
140/20 = 7
7 sec
Answer: D
The average of five results is 45 and that of the first four is 45. The fifth result is? Select
A) 45	B) 88	C) 77	D) 66	E) 51

Solution: 5 * 45 â€“ 4 * 45   = 45   45nswer: 45
Answer: A
Priya bought a fish last week. She was going to measure it but realized that her ruler was not long enough. She was able to measure the head and discovered that it was 12cm long; she then measured the tail and found that it was the length of the head plus one third of the length of the body. If the body was the length of the head plus the tail, what is the total length of the fish?
Choices:	A) 58	B) 45	C) 72	D) 63	E) 36

Solution: Let us take H=Length of the head   T=Length of the tail   B=length of the body   Given that H=12 cms.   T=H+1/3 B => T=12+1/3B   Let this be the first equation   B=H+T   substituting the value of H and T here we will get   B=12+12+1/3B   => B=24+1/3B   Therefore,B=36 cm   Substituting this in T we get   T=12+1/3(36)   T=12+12= 
12+12 = 24
24   So now that you got all the values add   H=12 cm   B=36 cm   T= 24 cm   and the answer is 72 cm   ANSWER:72
Answer: C
A certain sum of money doubles itself in 10 years in how much many years will it trible itself at the same rate?  Choose the correct choice from the following answers
A) 7 1/2 years B) 20 years C) 15 years D) 38 years E) 30 years

Solution: 100 ---- 100 --- 10   100 --- 10   --------------------   300 ---- 20 years   ANSWER:20 years
Answer: B
A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 O’clock, the true time is –	Choose the most appropriate option.
A) 4 p.m.  B) 59 7⁄12 minutes past 3  C) 58 7⁄11 minutes past 3  D) 2 3⁄11 minutes past 4  E) None of these

Solution: Time from 7 a.m. to quarter pas 4   = 9 hours 15 min. = 555 min.   Now, 37⁄12 min. of this watch = 3 min. of the correct watch.   555 min.of this watch = (3×12/37×555) min.   = (3×12/37×55560) hrs. = 9 hrs. of the correct watch.   Correct time is 9 hours after 7 a.m. i.e., 4 p.m.   4 p.m.nswer 4 p.m.
Answer: A