MU-NLPC/Calc-aqua_rat huggingface dataset:
In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
Choices:	A) 2.5	B) 2.9	C) 2.4	D) 2.8	E) 2.1

Solution: Speed = 144 * 5/18= 
144 * 5/18 = 40
40 m/sec   Time taken= 100/40= 
100/40 = 5/2 = around 2.5
2.5 sec.   2.5nswer:2.5:
Answer: A
A tradesman by means of his false balance defrauds to the extent of 60%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?  Select the correct option:
A) 156%  B) 147%  C) 134%  D) 146%  E) 183%

Solution: g% = 60 + 60 + (60*60)/100= 
60 + 60 + (60*60)/100 = 156
156%   156%nswer: 156%
Answer: A
What will come in place of the x in the following Number series? 73205, 6655, 605, 55, x  Choose the correct choice from the following:  A) 56675  B) 73205  C) 86543  D) 98765  E) 86545

Solution: (73205)   5 x 11 = 55, 55 x 11 = 605, 605 x 11 = 6655, 6655 x 11 = 73205
Answer: B
If 120/x is an integer and 108/x is an integer, which of the following must be true?
I. 9/x is an integer
II. 12/x is an integer
III. 36/x is an integer  Options.
A) I only
B) III only
C) I and II only
D) II and III only
E) I, II and III

Solution: I think, here we should use the greatest common factor.   The greatest common factor for 144 and 108 is 36.   So 36/x is an integer.   For the rest of the answers, if x is 36 then 9/x and 12/x leads to fractions.   I onlyns is I only.
Answer: A
Let N be the greatest number that divides 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:  Choose one: A) 4 B) 5 C) 6 D) 7 E) 8

Solution: HCF of (4665-1305) , ( 6905-4665) , (6905-1305)   = HCF of 3360 ,2240,5600   = 1120   sum of digits = 4   4NSWER:4
Answer: A
A contest will consist of n questions, each of which is to be answered eithertrueorfalse. anyone who answers all n questions correctly will be a winner. what is the least value of n for which the probability is less than 1/100000 that a person who randomly guesses the answer to each question will be a winner?  Choose the correct choice.
A) 5	B) 10	C) 50	D) 100	E) 1000

Solution: A contest will consist of n questions, each of which is to be answered eithertrueorfalse. anyone who answers all n questions correctly will be a winner. what is the least value of n for which the probability is less than 1/1000 that a person who randomly guesses the answer to each question will be a winner?   A.5   B.10   C.50   D.100   E.1000   Soln: ans is B   Probability that one question is answered right is 1/2.   Now for minimum number of questions needed to take probability less than 1/1000 is   => (1/2)^n < 1/100000   n = 1000 satisfies this.   1000
Answer: E
A and B have less than 6 diamonds each.What is the probability that the sum of diamonds they have is more than 3 but less than 7?
Choose the correct choice:
A) 3/5 B) 9/25 C) 4/9 D) 2/3 E) 3/2

Solution: A has 0, 1, 2, 3, 4, or 5 diamonds;   B has 0, 1, 2, 3, 4, or 5 diamonds.   More than 3 but less than 7 = 4, 5, or 6.   4:   {A, B}   {4, 0}   {3, 1}   {2, 2}   {1, 3}   {0, 4}   5:   {A, B}   {5, 0}   {4, 1}   {3, 2}   {2, 3}   {1, 4}   {0, 5}   6:   {A, B}   {5, 1}   {4, 2}   {3, 3}   {2, 4}   {1, 5}   Favorable = 5 + 6 + 5= 
5 + 6 + 5 = 16
16.   Total= 6*6= 
6*6 = 36
36   Probability= 16/36 = 4/9.   Answer: 4/9.
Answer: C
Sally has five red cards numbered 1 through 5 and four blue cards numbered 3 through 6. She stacks the cards so that the colors alternate and so that the number on each red card divides evenly into the number on each neighboring blue card. What is the sum of the numbers on the middle three cards?
Choose the correct choice from the following:
A) 8	B) 9	C) 10	D) 11	E) 12

Solution: The cards are stacked so that the colors alternate: R-B-R-B-R-B-R-B-R.   We are also told that the number on each red card divides evenly into the number on each neighboring blue card.   There are two primes in Blue cards: 3 and 5. Their divisors are 1 and 3 AND 1 and 5, respectively. Thus R1 must be between R3 and R5, R3 must be by B3 and R5 must be by B5: 3-3-1-5-5.   Next, add multiple of 3 to the left of 3: 6-3-3-1-5-5.   Add factor of 6 to the left of 6: 2-6-3-3-1-5-5.   Add multiple of 2 to the left of 2: 4-2-6-3-3-1-5-5.   And finally add factor of 4 to the left of 4: 4-4-2-6-3-3-1-5-5.   The sum of the numbers on the middle three cards is  6+3+3= 
 6+3+3 = 12
12.   Answer: 12.
Answer: E
Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 1.9 km respectively. The time taken by the slower train to cross the faster train in seconds is? Choose one:
A) 99
B) 72
C) 48
D) 96
E) 22

Solution: Relative speed = 60 + 90= 
60 + 90 = 150
150 km/hr.= 150 * 5/18 = 125/3 m/sec.   Distance covered = 1.10 + 1.9= 
1.10 + 1.9 = 3
3 km= 3000 m.   Required time = 3000 * 3/125= 
3000 * 3/125 = 72
72 sec.   Answer:72
Answer: B
What amount does Kiran get if he invests Rs.8000 at 10% p.a. compound interest for two years, compounding done annually?  Choices: A) Rs.19828.89 B) Rs.19828.80 C) Rs.19878.80 D) Rs.19825.80 E) Rs.19828.90

Solution: Let the sum be Rs.P   P{ [ 1 + 8/100]2 - 1 } = 2828.80   P(8/100)(2 + 8/100) = 2828.80 [a2 - b2 = (a - b) ( a + b)] P   = 2828.80 / (0.08)(2.08) = 1360/0.08= 
1360/0.08 = 17_000
17000 Principal + Interest= Rs.19828.80   Answer:Rs.19828.80
Answer: B
What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 55?	Choose the correct choice:
A) 3944
B) 3740
C) 7290
D) 6928
E) 3729

Solution: Explanation:   Let the side of the square plot be a ft.   a2 = 289 => a = 17   Length of the fence = Perimeter of the plot = 4a = 68 ft.   Cost of building the fence = 68 * 55 = Rs. 3740.   Answer: Option 3740
Answer: B
if length of a rectangle is equal to side of a square and breadth of rectangle is half of length.if area of square is 36 sq.m.calculate the area of rectangle?	Choose the most appropriate option
A) 18  B) 20  C) 27  D) 32  E) 25

Solution: side of square=√36=6 m.   length=6 m and breadth=3 m   area of rectangle=6*3= 
6*3 = 18
18 sq.m   answer 18
Answer: A
Bottle R contains 250 capsules and costs $5.25. Bottle T contains 130 capsules and costs $2.99. What is the difference between the cost per capsule for bottle R and the cost per capsule for bottle T? Choose the correct choice from the following answers.
A) $0.25
B) $0.12
C) $0.05
D) $0.03
E) $0.002

Solution: Cost per capsule in R is 5.25/250=0.525/25= 
0.525/25 = 0.021
0.021   Cost per capsule in T is  2.99/130= 
 2.99/130 = 0.023
0.023   The difference is 0.002   The answer is $0.002
Answer: E
A tea expert claims that he can easily find out whether milk or tea leaves were added first to water just by tasting the cup of tea. In order to check this claims 16 cups of tea are prepared, 8 in one way and 8 in other. Find the different possible ways of presenting these 16 cups to the expert.  Choose the correct answer: A) 12520 B) 12870 C) 13000 D) 13400 E) None

Solution: Solution:   Since, there are 8 cups of each kind, prepared with milk or tea leaves added first, are identical hence, total number of different people ways of presenting the cups to the expert is,   [16!/(8!x8!)]= 12870   Answer: Option 12870
Answer: B
Statement: Unemployment allowance should be given to all unemployed Indian youth above 18 yrs of age. Assumptions: 1) There are unemployed youth in India who needs monetary support. 2) The government has sufficient funds to provide allowance to all unemployed youth. Choose the correct choice from the following options:	A) Only assumption I is implicit	B) Only assumption II is implicit	C) Either I or II is implicit	D) Neither I nor II is implicit	E) Both I and II are implicit

Solution: I directly follows from the statement and so is implicit. Also, the statement is a suggestion and does not tell about a government policy or its position of funds. So, II is not implicit.   Only assumption I is implicit
Answer: A
A fruit seller sells mangoes at the rate of Rs.6 per kg and thereby loses 15%. At what price per kg, he should have sold them to make a profit of 5%  Choose the most appropriate option:	A) Rs 7.41	B) Rs 9.81	C) Rs 10.41	D) Rs 11.81	E) None of these

Solution: Explanation:   85 : 6 = 105 : x   x= (6×105/85)   = Rs 7.41   Option Rs 7.41
Answer: A
Sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum. Sandy attempts 30 sums and obtains 45 marks. How many sums did Sandy get correct? Pick:	A) 18	B) 21	C) 24	D) 27	E) 28

Solution: Let x be the correct sums and (30-x) be the incorrect sums.   3x - 2(30-x) = 45   5x = 105   x = 21   The answer is 21.
Answer: B
What ratio must a shopkeepermix Peas and Soybean of Rs.16 and Rs. 25/kg, As to obtain a mixture of Rs.22?  Choose the correct choice from the following
A) 10 : 7 B) 9 : 8 C) 1 : 2 D) 13 : 11 E) 14 : 8

Solution: 1 : 2orrect option: (1 : 2)   Use rule of alligation, to determine the ratio   The required ratio of Soybean and Peas = 3 : 6 = 1 :2
Answer: C
Jolene entered an 18-month investment contract that guarantees to pay 2 percent interest at the end of 4 months, another 3 percent interest at the end of 12 months, and 4 percent interest at the end of the 18 month contract. If each interest payment is reinvested in the contract, and Jolene invested $10,000 initially, what will be the total amount of interest paid during the 18-month contract?  Choose the correct option
A) $506.00  B) $726.24  C) $900.00  D) $920.24  E) $926.24

Solution: If interest were not compounded in every six months (so if interest were not earned on interest) then we would have   (2+3+4)= 
  (2+3+4) = 9
9% simple interest earned on $10,000, which is $900. So, you can rule out A, B and C right away.   Interest earned after the first time interval: $10,000*2%=$200;   Interest earned after the second time interval: ($10,000+$200)*3%=$300+$6=$306;   Interest earned after the third time interval: ($10,000+$200+$306)*4%300+ 6= 
300+ 6 = 306
$306;   Interest earned after the third time interval: ($10,000+$200+$306)*4%=$400+$8+(~$12)=~$420;   Total: 200+306+(~420)400+ 8+(  12)= 
400+ 8+(  12) = 420
~$420;   Total: 200+306+(~420)=~$920.24   Answer: $920.24.
Answer: D
Mohan went to a shop and bought things worth Rs. 100, out of which 90 Paise went on sales tax on taxable purchases. If the tax rate was 9%, then what was the cost of the tax free items?	Pick:
A) 89.1 B) 88.1 C) 79.1 D) 80.1 E) 85.1

Solution: Total cost of the items he purchased = Rs.100   Given that out of this Rs.100, 90 Paise is given as tax   => Total tax incurred = 90 Paise = Rs.90/100   Let the cost of the tax free items = x   Given that tax rate = 6%   ∴ (100−90/100−x)9/100 = 90/100   ⇒ 9(100−0.9−x) = 90   ⇒ (100 − 0.9 − x) = 10   ⇒ x = 100 − 0.9 − 10 = 89.1   89.1)
Answer: A
Reeya obtained 65, 67, 76, 82 and 85 out of 100 in different subjects, What will be the average	Pick one.
A) 70 B) 75 C) 80 D) 85 E) 60

Solution: Explanation:   (65+67+76+82+855)=75   Answer: Option 75
Answer: B
On a map, 1 centimeter represents 25 kilometers. Two cities 425 kilometers apart would be separated on the map by how many centimeters?
Choose the correct choice from the following answers: A) 25 B) 17 C) 19 D) 310 E) 280

Solution: X=425/25= 
425/25 = 17
17   Answer: 17
Answer: B
Three numbers are in the ratio 5 : 6 : 8. The sum of its longest and smallest numbers equals the sum of the third number and 49. Find the third number?  Pick:  A) A)54  B) B)75  C) C)48  D) D)42  E) E)63

Solution: Let the numbers be 5x, 6x, 8x.   Largest number = 8x.   Smallest number = 5x.   Third number = 6x.   8x + 5x = 6x + 49   7x = 49 =>x=7   6x=42=> third number is 42.   Answer:42
Answer: D
The total of 336 of 20 paise and 25 paise make a sum of Rs. 71. The no of 20 paise coins is Pick one:
A) 238 B) 277 C) 278 D) 260 E) 288

Solution: Explanation:   Let the number of 20 paise coins be x. Then the no of 25 paise coins = (336 - x).   0.20 * (x) + 0.25 (336 - x) = 71 => x = 260..   Answer: 260) 260
Answer: D
A train running at the speed of 60 km/hr crosses a pole in 18 seconds. What is the length of the train?
Choose the correct choice from the following answers:
A) 120 metres	B) 180 metres	C) 324 metres	D) 300 metres	E) 180 metres

Solution: Speed=(60 x 5/18)/m/sec	=	50/3	m/sec.   Length of the train = (Speed x Time).   Length of the train =	50 x 18/3 m = 300 m.   ANSWER : OPTION 300 metres
Answer: D
In a game of billiards, A can give B 30 points in 80 and he can give C 40 points in 80. How many points can B give C in a game of 100?  Select:
A) 23 B) 24 C) 25 D) 20 E) 28

Solution: A scores 80 while B score 50 and C scores 40.   The number of points that C scores when B scores 100 = (100 * 40)/50= 
(100 * 40)/50 = 80
80.   In a game of 100 points, B gives (100 - 80)= 
(100 - 80) = 20
20 points to C   Answer:20
Answer: D
Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?	Choose the correct choice from the following answers:
A) 17 km/hr B) 18 km/hr C) 60 km/hr D) 16 km/hr E) 11 km/hr

Solution: Let the speed of the slower train be x m/sec.   Then, speed of the train = 2x m/sec.   Relative speed = ( x + 2x) = 3x m/sec.   (100 + 100)/8 = 3x => x = 25/3.   So, speed of the faster train = 50/3 = 50/3 * 18/5= 
50/3 * 18/5 = 60
60 km/hr.   Answer: 60 km/hr
Answer: C
An urn contains 8 black and 2 white balls. Two balls are drawn from the urn one after the other
without replacement. What is the probability that both drawn balls are black?  Choose the correct choice from the following options
A) 1/5	B) 28/45	C) 2/5	D) 3/5	E) 2/7

Solution: Let E and F denote respectively the events that first and second ball drawn   are black. We have to find P(E n F) or P (EF).   Now P(E) = P (black ball in first draw) = 8/10   Also given that the first ball drawn is black, i.e., event E has occurred, now there are 7 black balls and two white balls left in the urn. Therefore, the probability that the second ball drawn is black, given that the ball in the first draw is black, is nothing but the conditional probability of F given that E has occurred.   That is P(F|E) = 7/9   28/45y multiplication rule of probability, we have   P (E n F) = P(E) P(F|E)   = 8/10 × 7/9 = 28/45   28/45
Answer: B
If × stands for 'addition', ÷ stands for 'subtraction', + stands for 'multiplication' and-stands for 'division', then 20 × 8 ÷ 8 - 4 + 2 = ?  Choose the correct choice from the following answers:
A) 33
B) 77
C) 24
D) 23
E) 21

Solution: Explanation:   By the Given data , We have the expression:   20 + 8 - 8 ÷ 4 × 2 = 20 + 8 - 2 × 2 = 20 + 8 - 4= 
20 + 8 - 4 = 24
24   Answer: 24) 24
Answer: C
In March, Kurt ran an average of 1.5 miles an hour. If by June he had increased his pace by 10 seconds per mile, then which of the following expresses the number of hours it would take Kurt to complete one mile in June?
Choose the correct choice:
A) 3590/60^2 B) 2410/60^2 C) 2390/60^2 D) 3586/60 E) 60^2/3590

Solution: 1500 in 3600 sec   1000 in x sec   x = 2400   In june = 2400-10= 
2400-10 = 2_390
2390   so 2390 / 60 * 60   2390/60^2   ANSWER:2390/60^2
Answer: C
Which fraction should be added to:
1/(2 Ã— 3) + 1/(3 Ã— 4) + 1/(4 Ã— 5) + ....... + 1/(31 Ã— 32)
so that the result is equal to 1?  Choose the correct choice from the following answers.
A) 11/32
B) 13/32
C) 15/32
D) 17/32
E) 19/32

Solution: The given expression   = 1/(2 Ã— 3) + 1/(3 Ã— 4) + 1/(4 Ã— 5) + ...... + 1/(31 Ã— 32)   = (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + .......... + (1/31 - 1/32)   = 1/2 - 1/32 = 15/32   Thus, the fraction we should add = 1 - 15/32 = 17/32   The answer is 17/32.
Answer: D
In a renowned city, the average birth rate is 4 people every two seconds and the death rate is 2 people every two seconds. Estimate the size of the population net increase that occurs in one day. Choose the correct option:
A) 86,400  B) 172,800  C) 468,830  D) 338,200  E) 259,200

Solution: Every 2 seconds, 2 persons are added (4-2). Every second 1 person are added.   In a day 24hrs = 24 * 60 Minutes = 24 * 60 * 60= 
24 * 60 * 60 = 86_400
86400 seconds.   86400 * 1= 
86400 * 1 = 86_400
86400   Option 86,400
Answer: A
In what time will a train 200 m long cross an electric pole, it its speed be 216 km/hr? Choose the correct choice from the following answers.
A) 2.5 sec B) 2.8 sec C) 8.5 sec D) 3.3 sec E) 4.5 sec

Solution: Speed = 216 * 5/18= 
216 * 5/18 = 60
60 m/sec   Time taken= 200/60   = 3.3 sec.   Answer:3.3 sec
Answer: D
A certain debt will be paid in 52 installments from January 1 to December 31 of a certain year. Each of the first 25 payments is to be $500; each of the remaining payments is to be $100 more than each of the first 25 payments. What is the average (arithmetic mean) payment that will be made on the debt for the year?	Choose the correct choice from the following answers:
A) 500	B) 450	C) 552	D) 600	E) 400

Solution: Total = 500(25) + 600(27)   Number of installments = 52   Average = Total/Number of installments = 552 approximately   Answer: 552
Answer: C
In the first week of the Year, Rancy saved $1. In each of the next 51 weeks, she saved $1 more than she had saved in the previous week. What was the total amount that Rancy saved during the 52 weeks?  Choose the correct answer:
A) $1,326  B) $1,352  C) $1,378  D) $2,652  E) $2,756

Solution: In the first week of the Year, Rancy saved $1.If you don't recall the formula, there is one method:   1 + 2 + 3 + 4 + 5 ........ + 26 + 27 + ............ + 48 + 50 + 51 + 52   Sum of 1stlast digit = 1 + 52= 
1 + 52 = 53
53   Sum of 2nd2nd last digit= 2 + 51= 
2 + 51 = 53
53   Sum of 3rd3rd last digit= 3 + 50= 
3 + 50 = 53
53   .   .   .   .   This is repeated 26 times   So, 26 * 53= 1378   Answer = $1,378
Answer: C
A truck covers a distance of 200 metres in 1 minute whereas a bus covers a distance of 100kms in 50minutes. The ratio of their speeds is? Choose the correct choice
A) 2:3
B) 1:5
C) ratio 1:10
D) 9:13
E) 7:15

Solution: Ratio of speeds = (200/60) 18/5 : 60*100/50 = 12:120 = 1:10   Answer is ratio 1:10
Answer: C
A circular logo is enlarged to fit the lid of a jar. The new diameter is 10 per cent larger than the original. By what percentage has the area of the logo increased?
Choose the correct option.
A) 50	B) 80	C) 100	D) 125	E) 21

Solution: Let old diameter be 4 , so radius is 2   Old area = 4π   New diameter is 4.4 , so radius is 2.2   New area = 4.84π   Increase in area is 0.84π   % increase in area = 0.84/4*100   So, % increase is 21%   Answer will be (21)
Answer: E
Two pipes P and Q can fill a cistern in 12 and 13 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill? Choose one:
A) 1/8 B) 1/4 C) 2/4 D) 1/4 E) 3/4

Solution: 3/12 + x/13   = 1   x= 7 3/4   Answer: 3/4
Answer: E
Find the compound interest accrued on an amount of Rs.14,800 at 13.5% p.a at the end of two years. (Round off your answer to nearest integer?
Choose the correct choice from the following: A) Rs.4268 B) Rs.4290 C) Rs.4566 D) Rs.4266 E) Rs.4208

Solution: CI = 14800{ [ 1 + 13.5/100]2 - 1 }   = 14800 { [1 + 27/200]2 - 1   = 14800 { 2 + 27/200}{27/200}   = (74)[2 + 27/200](27) =   1998[2 + 27/200] = 3996 + 269.73 = Rs.4266   Answer:Rs.4266
Answer: D
Which one of the following is the common factor of (4743 + 4343) and (4747 + 4347) ? Choices.
A) 47-43 B) 47+43 C) (47^43)+(43^47) D) None of these E) (47^2)+(43^2)

Solution: When n is odd, (xn + an) is always divisible by (x + a).   Each one of (4743 + 4343) and (4747 + 4347) is divisible by (47 + 43).   Option 47+43
Answer: B
The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical B present and inversely proportional to the concentration of chemical A present. If the concentration of chemical B present is increased by 100 percent, which of the following is closest to the percent change in the the concentration of chemical B required to keep the reaction rate unchanged.  Choose one:
A) 100 % decrease
B) 60% decrease
C) 40% decrease
D) 30% increase
E) 50% increase

Solution: Let's say here is the formula of how B and A affects the reaction speed:   rate = B^2/A   After the concentration A is increased by 100%, the percentage of A   become 2A, to keep 'rate' the same, need to have B^2 being doubled.   Which means A increased by 2^(1/2) times.   Answer : 40% decrease
Answer: C
10 books are placed at random in a shelf. The probability that a pair of books will always be together is?	Choose the correct choice from the following answers:
A) 1/7  B) 1/8  C) 1/5  D) 1/1  E) 1/2

Solution: 10 books can be rearranged in 10! ways consider the two books taken as a pair then number of favourable ways of getting these two books together is 9! 2!   Required probability   = 1/5   Answer:1/5
Answer: C
In a T.V. factory, an average of 60TVs are produced per day for the fist 25days of the months. A few workers fell ill for the next five daysreducing the daily avg for the month to 58 sets/day . The average production per day for day last 5days is ?	Pick.
A) 30  B) 42  C) 48  D) 50  E) 54

Solution: Production during these 5 days = Total production in a month - production in first 25 days.   = 30 x 58 - 25 x 60   = 240   ∴ Average for last 5 days = 240 / 5= 
240 / 5 = 48
48   48
Answer: C
In covering a distance of 18 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is: Choose one
A) 3 kmph B) 6 kmph C) 6.25 kmph D) 7.5 kmph E) 7.8 kmph

Solution: Let Abhay's speed be x km/hr.   Then,	18/X	-	18/2X	= 3   6x = 18   x = 3 km/hr. 3 kmphnswer: Option 3 kmph
Answer: A
Ratio between Rahul and Deepak is 4:2, After 6 Years Rahul age will be 22 years. What is Deepak present age
Choose the correct choice from the following answers:
A) 9	B) 3	C) 5	D) 2	E) 7

Solution: Explanation:   Present age is 4x and 2x,   => 4x + 22 = 26 4  + 22= 
4  + 22 = 26
26=> x = 1   So 2eepak age is = 2(1) = 2   Answer: Option 2
Answer: D
12,31,68,?,220,347,516 Pick:	A) 199	B) 220	C) 347	D) 129	E) 520

Solution: 2*2*2 + 4= 
2*2*2 + 4 = 12
12   3*3*3 +4= 
3*3*3 +4 = 31
31   4*4*4 + 4= 
4*4*4 + 4 = 68
68   6*6*6 + 4= 
6*6*6 + 4 = 220
220   7 *7 *7 + 4= 
7 *7 *7 + 4 = 347
347   8 *8 *8 + 4= 
8 *8 *8 + 4 = 516
516.   5*5*5 + 4= 
5*5*5 + 4 = 129
129   ANSWER : 129
Answer: D
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 6 minutes, then the area of the park (in sq. m) is:	Choose the correct choice:
A) 153601
B) 153600
C) 86400
D) 153603
E) 153604

Solution: Perimeter = Distance covered in 6 min. =(12000/60) x 6m = 1200 m.   Let length = 3x metres and breadth = 2x metres.   Then, 2(3x + 2x) = 1200 or x = 120.   Length = 360 m and Breadth = 240 m.   Area = (360 x 240) m2 = 86400 m2.   Answer: 86400
Answer: C
John and Ingrid pay 30% and 40% tax annually, respectively. If John makes $56000 and Ingrid makes $73000, what is their combined tax rate?	Answers: A) 32% B) 34.4% C) 35% D) 35.6% E) 36.4%

Solution: (1) When 30 and 40 has equal weight or weight = 1/2, the answer would be 35.   (2) When 40 has larger weight than 30, the answer would be in between 35 and 40. Unfortunately, we have 2 answer choices D and E that fit that condition so we need to narrow down our range.   (3) Get 73000/129000 = 73/129 is a little above 1/2. Thus, our answer is just a little above 35.   Answer: 35.6%
Answer: D
Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour?	Choose the correct option.
A) E982
B) 27
C) 12
D) 121
E) 28

Solution: Explanation:   T = 9/45 * 60= 
9/45 * 60 = 12
12   Answer: Option 12
Answer: C
What decimal of an hour is a second  Select the correct option:
A) 0028
B) 0027
C) 2787
D) 2788
E) 2992

Solution: Explanation:   1 / (60 * 60) = 1 / 3600 = .0027   Answer: 0027) .0027
Answer: B
A car covers a distance of 1080 km in10 hrs. What is its speed in mps.  Choose one.
A) 40 m/s	B) 25 m/s	C) 20 m/s	D) 15 m/s	E) 30 m/s

Solution: Explanation:   Distance = Speed x Time   Speed = (1080/10)= 
(1080/10) = 108
108 kmph   Spees in mps= 108 x 5/18 = 6 x 5 = 30 mps.   Answer: Option 30 m/s
Answer: E