MU-NLPC/Calc-aqua_rat huggingface dataset:
At a certain supplier, a machine of type A costs $20,000 and a machine of type B costs $65,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the cost, how much less would 2 machines of type A cost than 1 machine of type B under this arrangement?	Choose the correct option:	A) $10,000	B) $11,200	C) $12,000	D) $12,800	E) $33,000

Solution: Total Cost of 2 Machines of Type A   = 20% of (Cost of 2 machine A) + remainder + 40 % remainder   = 20% of 40000 + (40000 - 20% of 40000) + 40% of (40000 - 20% of 40000)   = 52800   Total Cost of 1 Machine of Type B   = 20% of (Cost of 1 machine B) + remainder + 40 % remainder   = 20% of 65000 + (65000 - 20% of 65000) + 40% of (65000 - 20% of 65000)   = 85800   Diff = 66000 - 85800 = 33000   Hence, $33,000.
Answer: E
In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?  Choose the correct choice from the following choices:
A) 1/3
B) 3/4
C) 7/19
D) 8/21
E) 9/21

Solution: Total number of balls = (8 + 7 + 6)= 
(8 + 7 + 6) = 21
21.   Let E= event that the ball drawn is neither red nor green   = event that the ball drawn is blue.   n(E) = 7.   P(E) =	n(E)/n(S)	=	7/21 =	1/3	.   1/3nswer :1/3
Answer: A
The S.I. on a certain sum of money for 2 years at 6% per annum is half the C.I. on Rs. 4000 for 2 years at 10% per annum. The sum placed on S.I. is?  Choose the correct answer.
A) 2197  B) 1267  C) 3500  D) 2267  E) 1262

Solution: Explanation:   C.I. = [4000 * (1 + 10/100)2 - 4000]   = (4000 * 11/10 * 11/10 - 4000) = Rs. 840.   Sum = (420 * 100)/(2 * 6) = Rs. 3500   Answer:3500
Answer: C
If s and t are positive integers, st + s + t cannot be	Pick one
A) 5 B) 6 C) 7 D) 8 E) 9

Solution: Let st + t + s = x   Add 1 on both sides:   st + t + s + 1 = x + 1   t(s + 1) + s + 1 = x + 1   (s + 1)(t + 1) = x + 1   Minimum value of (s + 1) = 2   Minimum value of (t + 1) = 2   Hence x + 1 cannot be prime   Substitute x from the given options:   6 + 1= 
  6 + 1 = 7
7 --> prime --> st + t + s cannot be 6   Answer: 6
Answer: B
A certain candy manufacturer reduced the weight of Candy Bar M by 5 percent buy left the price unchanged. What was the resulting percent increase in the price per ounce of Candy Bar M? Choose the most appropriate option.
A) 5.5  B) 5.4  C) 5.3  D) 5.2  E) 5.1

Solution: assume 1oz candy cost $1 before.   now price remain same $1 but weight of candy reduces to 0.95 oz   new price of candy = 1/0.95 =1.052   price increase 5.2 %   5.2
Answer: D
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?	Choose the correct choice from the following options.
A) 0 B) 1 C) 10 D) 19 E) 20

Solution: Solution   Average of 20 numbers	= 0   Sum of 20 numbers	=(0 x 20) =0.   It is quite possible that 19 of these numbers may be positive and if there sum id a, then 20th number is (-a).   0nswer 0
Answer: A
A number x is 12 times another number y. The percentage that y is less than x is  Choose the correct choice from the following answers.
A) 91.6%
B) 87.5%
C) 80%
D) 11%
E) 1%

Solution: Say y=1 and x=12.   Then y=1 is less than x=12 by (12-1)/12*100=11/12*100=91.6%.   91.6%nswer: 91.6%.
Answer: A
At a local beach, the ratio of little dogs to average dogs to enormous dogs is 3:8:9. Late in the afternoon, the ratio of little dogs to average dogs doubles and the ratio of little dogs to enormous dogs increases. If the new percentage of little dogs and the new percentage of average dogs are both integers and there are fewer than 30 total dogs at the beach, which of the following represents a possible new percentage of enormous dogs?
Choose one
A) 25%
B) 40%
C) 30%
D) 55%
E) 70%

Solution: Little Dogs(L), Average Dogs(A) and Enormous Dogs (E)   The initial ratio for L:A:E :: 3:8:9   Initial Total dogs = 20X ( x assumed; 3+8+9= 
3+8+9 = 20
20), Since the total dogs are less than 30 therefore initial total value has to be 20   L= 2, A = 5 E = 8   L:A= 2:5   This ratio doubles   Hence New Dog count is   L= 6 , A = 8 E= X: Also 6+8+x<30   We need to Find X*100/(6+8+X)   Now it says that new percentage of little dogs and Average dogs is an integer   %L = 6*100/(14+x) %A = 8*100/(14+x); Only Value for X is 6 ; 14+x<30 and % integer   Therefore, Enormus Dogs % is = 6*100/(20)= 
6*100/(20) = 30
30%   30%
Answer: C
A man can reach certain place in 10hours. If he reduces his speed by 1/5th, he goes 10km less in time. Find his speed? Choose the most appropriate option.
A) 5km/hr B) 22.5km/hr C) 10.78km/hr D) 14km/hr E) 43.15km/hr

Solution: Let the speed be x km/hr   10x-10* 4/5 *x = 10   10x - 8x = 10   2x = 10   x = 5km/hr   5km/hrnswer is 5km/hr
Answer: A
Shreyas bought an article and sold it for 105% of its cost price. What was the cost price of the article, if Shreyas sold it for Rs.42000/-?
Choose the correct answer: A) Rs.40000 B) Rs.45640 C) Rs.44250/- D) Rs.43200 E) None of these

Solution: Explanation:   105% of CP = Rs.42000   :. CP = Rs.42000x100/105 = Rs.40000.   Rs.40000nswer: Option Rs.40000
Answer: A
If the product 4864 x 9 P 2 is divisible by 12, then the value of P is:  Select:	A) 3	B) 2	C) 1	D) 6	E) 5

Solution: C   1   Clearly, 4864 is divisible by 4.   So, 9P2 must be divisible by 3.   So, (9 + P + 2) must be divisible by 3.   P = 1.
Answer: C
The average of 11 numbers is 11. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is  Choose the correct option:  A) 10.4  B) 11.5  C) 81.5  D) 11.5  E) 21.5

Solution: Explanation:   Middle numbers = [(10.5 x 6 + 11.4 x 6) - 11 x 11] = 10.4.   10.4nswer: 10.4
Answer: A
120 is what percent of 50 ? Choose the correct choice:  A) 5%  B) 240%  C) 50%  D) 2%  E) 500%

Solution: 50*x=120 --> x=2.4 --> 2.4 expressed as percent is 240%.   Answer: 240%.
Answer: B
If x^2=3x+1, then x^3 = ?	Choose the correct option
A) 8x+2
B) 10x+3
C) 6x+1
D) 2x+3
E) 6x+4

Solution: x^2 = 3x+1   x^3 = x*x^2 = x*(3x+1) = 3x^2 + x = 3(3x+1)+x = 10x+3   The answer is 10x+3.
Answer: B
A reduction of 20% in the price of oil enables a house wife to obtain 10 kgs more for Rs.1500, what is the reduced price for kg?  Choose the correct answer:  A) Rs.20  B) Rs.25  C) Rs.30  D) Rs.35  E) Rs.40

Solution: Explanation:   1500*(20/100)= 
1500*(20/100) = 300
300 ---- 10   ? ---- 1=> Rs.30   Answer: Rs.30
Answer: C
The average number of shirts with Salman, Ambani and Dalmiya is 40, if all of them reached a shopping mall in Delhi and purchased 14 shirts each of them then average number of shirt each of them now has  Choose the correct answer
A) 66	B) 54	C) 67	D) can't be determined	E) None of these

Solution: Answer   Required average   = Old average + New average   = 40 + 14= 
40 + 14 = 54
54   Correct Option: 54
Answer: B
The average weight of A, B and C is 60 kg. If the average weight of A and B be 70 kg and that of B and C be 50 kg, then the weight of B is:  Choose the correct option:	A) 50 kg	B) 60 kg	C) 55 kg	D) 57 kg	E) 62 kg

Solution: EXPLANATION   Let A, B, C represent their respective weights. Then, we have:   A + B + C = (60 x 3) = 180 â€¦. (i)   A + B = (70 x 2) = 140 â€¦. (ii)   B + C = (50 x 2) = 100 â€¦.(iii)   Adding (ii) and (iii), we get: A + 2B + C = 240 â€¦. (iv)   Subtracting (i) from (iv), we get : B = 60.   Bâ€™s weight = 60 kg.   Answer 60 kg
Answer: B
If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is? Choose the correct choice from the following answers
A) 299 m
B) 777 m
C) 200 m
D) 167 m
E) 128 m

Solution: 2(l + 100) = 600 => l   = 200 m   Answer:200 m
Answer: C
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 14 years and that for 18 years?  Choose the most appropriate option:
A) 7 : 9 B) 8 : 9 C) 5 : 9 D) Data inadequate E) None of these

Solution: Let the principal be P and rate of interest be R%.   ∴ Required Ratio = [(P×R×14/100) /(P×R×18/100)]=14PR/18PR=14/18=7:9   7 : 9nswer 7 : 9
Answer: A
264, 396, 462, 792, 968, 2178, 5184, 6336?
How many of the following numbers are divisible by 132 ?
Choose the correct option:
A) 7	B) 3	C) 5	D) 9	E) 4

Solution: 132 = 4 x 3 x 11   So, if the number divisible by all the three number 4, 3 and 11, then the number is divisible by 132 also.   264 11,3,4 - (/)   396 11,3,4 - (/)   462 11,3 - (X)   792 11,3,4 - (/)   968 11,4 - (X)   2178 11,3 - (X)   5184 3,4 - (X)   6336 11,3,4 - (/)   Therefore the following numbers are divisible by 132 : 264, 396, 792 and 6336.   Required number of number = 4.   ANSW4R 4
Answer: E
Out of a classroom of 3 boys and 8 girls, the teacher randomly chooses a president for the student board, a vice president, and a secretary. What is the probability that only girls will be selected for all three positions?	Select the correct option.
A) 14/33
B) 17/33
C) 48/165
D) 52/165
E) 56/165

Solution: The number of ways to choose three people is 11C3=165.   The number of ways to choose three girls is 8C3=56.   P(only girls are chosen)=56/165   The answer is 56/165.
Answer: E
Maxwell leaves his home and walks toward Brad's house. One hour later, Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 14 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the total time it takes Maxwell before he meets up with Brad?  Choose the correct answer:
A) 2
B) 4
C) 5
D) 6
E) 8

Solution: Total Distance = 14 kms   Maxwell Speed = 4 kms/hr   Maxwell travelled for 1hour before Brad started , therefore Maxwell traveled for 4 kms in 1 hour.   Time taken = Total Distance / Relative Speed   Total Distance after Brad started = 10 kms   Relative Speed (Opposite side) (As they are moving towards each other speed would be added ) = 6+ 4= 
6+ 4 = 10
10 kms/hr   Time taken to meet Brad after Brad Started= 10 / 10= 
10 / 10 = 1
1 hrs   Distance traveled by Maxwell= Maxwell's speed * time taken = 4 * 1= 
4 * 1 = 4
4+4= 
4+4 = 8
8 kms...   Therefore Total Time taken by Maxwell to meet Brad= Distance travelled by Maxwell / Maxwell's Speed = 8/4= 
8/4 = 2
2 hrs ... 2nswer 2
Answer: A
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is?
Choose the correct choice.
A) 4:6 B) 4:3 C) 4:4 D) 4:7 E) 4:2

Solution: Let us name the trains A and B.   Then, (A's speed) : (4:3's speed)   = √b : √a = √16 : √9 = 4:3   Answer: 4:3
Answer: B
40% of the employees in a factory are workers. All the remaining employees are executives. The annual income of each worker is Rs. 390. The annual income of each executive is Rs. 420. What is the average annual income of all the employees in the factory together?
Answers
A) 390	B) 405	C) 408	D) 415	E) None

Solution: Solution:   Let X be the number of employees.   We are given that 40% of the employees are workers. Now, 40% of X is (40/100)*X =0.4X.   Hence, the number of workers is 2X/5.   All the remaining employees are executives, so the number of executives equals,   (The number of Employees)–(The number of Workers),   = X–(2X/5)   =(3X/5)   The annual income of each worker is Rs. 390.   Hence, the total annual income of all the workers together is,   = (2X/5)*390 =156X.   Also, the annual income of each executive is Rs. 420. Hence, the total income of all the executives together is,   (3X/5)×420 (2 /5)*390= 
(2 /5)*390 = 156
156X.   Also, the annual income of each executive is Rs. 420. Hence, the total income of all the executives together is,   (3X/5)×420=252X   Hence, the total income of the employees is,   = 156X +252X =408X.   The average income of all the employees together equals,   Answer: Option 408156  +252= 
156  +252 = 408
408X.   The average income of all the employees together equals,   Answer: Option 408
Answer: C
A highway is to be divided into 3 lanes. For this purpose, two yellow stripes are painted so that stripes divide the highway into 3 lanes. If 3 gallons of paint cover an area of 4P square feet of highway, how many gallons of paint are needed to paint two stripes x inches wide on a stretch of highway m miles long? (1 mile = 5280 feet and 1 feet = 12 inches)
Choose the most appropriate option:
A) 220P/mx
B) 660mx/P
C) 880mx/P
D) 440P/mx
E) 330mx/P

Solution: 1 square foot needs 3/4P gallons of paint.   The width of each stripe is x/12 feet.   The length of each stripe is 5280m feet.   The area of each stripe is (5280m)(x/12) = 440mx square feet.   For two stripes, the total area is 880mx square feet.   The number of gallons needed is (880mx)*(3/4P) = 660mx/P gallons.   The answer is 660mx/P.  (880  )*(3/4 )= 
  (880  )*(3/4 ) = 660
660mx/P gallons.   The answer is 660mx/P.
Answer: B
WHEN A PERSON SELLS TWO ITEMS $800 each, ONE AT A GAIN OF 20% AND OTHER AT A LOSS OF 20%.THEN THE SELLER INCURES A LOSS OR GAIN OF: Pick.
A) no loss no gain B) 4% loss C) 5% gain D) 2% gain E) 1% loss

Solution: When two items are sold at the same price, one at a profit of a% and other at a loss of a% (which means the cost price of one item was lower than the selling price and the cost price of the other item was higher than the selling price), there will always be a loss of (a^2)/100 %. e.g. Here a = 20, so loss % = (20)^2/100 % = 4%.   Answer : 4% loss
Answer: B
1500 men have provisions for 17 days. If 320 more men join them, for how many days will the provisions last now? Answers:  A) 12.9  B) 12.0  C) 14  D) 15  E) 16

Solution: 1500*17 = 1820*x   x = 14   Answer:14
Answer: C
Pavan travelled for 11 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan?  Choose one.
A) 288 km	B) 886 km	C) 866 km	D) 300 km	E) 261 km

Solution: Let the distance travelled be x km.   Total time = (x/2)/30 + (x/2)/25 = 11 => x/60 + x/50   = 11 => (5x + 6x)/300 = 11 => x   = 300 km   Answer: 300 km
Answer: D
Out of 5 consonants and 3 vowels, how many words of 3 consonants and 2 vowels can be formed?	Pick one
A) 25200  B) 120  C) 3600  D) 300  E) 2100

Solution: Required selection = select 3 consonants from 5 and 2 vowels frm 3   = 5C3 * 3C2   = 30   As we have to form 5 letter word the above combination of consonants and vowels can be done in 5! = 120 different ways   Required no. of ways = 30 * 120= 
30 * 120 = 3_600
3600   Ans - 3600
Answer: C
In 1992 a total of 550 earthquakes occurred worldwide, some but not all of which occurred in Asia. If 150 of these earthquakes occurred in Asia, which of the following represents the ratio of the number of earthquakes that occurred in Asia to the number that did NOT occur in Asia? Choose the correct choice
A) 2/8  B) 1/8  C) 3/8  D) 5/8  E) 7/8

Solution: We're given a couple of facts to work with:   1) There were a total of 550 earthquakes   2) Of those earthquakes, 150 of them occurred in Asia   We're asked for the ratio of the number of earthquakes that occurred IN ASIA to the number of earthquakes that DID NOT occur in Asia.   Thus, there were 400 earthquakes that DID NOT occur in Asia....   The answer to the question is 150/400 = 3/8   Answer : 3/8
Answer: C
Each month a retailer sells 100 identical items. On each item he makes a profit of $40 that constitutes 10% of the item's price to the retailer. If the retailer contemplates giving a 5% discount on the items he sells, what is the least number of items he will have to sell each month to justify the policy of the discount? Pick one:  A) 191  B) 213  C) 221  D) 223  E) 226

Solution: For this question, we'll need the following formula:   Sell Price = Cost + Profit   We're told that the profit on 1 item is $20 and that this represents 10% of the cost:   Sell Price = Cost + $40   Sell Price = $400 + $40   Thus, the Sell Price is $440 for each item. Selling all 100 items gives the retailer...   100($40) = $2,000 of profit   If the retailer offers a 5% discount on the sell price, then the equation changes...   5%(440) = $22 discount   $418 = $400 + $18   Now, the retailer makes a profit of just $18 per item sold.   To earn $2,000 in profit, the retailer must sell....   $18(X) = $2,000   X = 2,000/18   X = 222.222222 items   You'll notice that this is not among the answer choices.... 221 and 223 are.   Selling 221 items would get us 9(221) = $1989 which is NOT enough money. To get back to AT LEAST $2,000, we need to sell 223 items.   Final Answer:   223
Answer: D
A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons? Pick:	A) 165	B) 185	C) 205	D) 225	E) 245

Solution: Total number of persons in the committee = 5 + 6= 
5 + 6 = 11
11   Number of ways of selecting group of eight persons= ¹¹C₈ = ¹¹C₃ = (11 * 10 * 9)/(3 * 2)= 
(11 * 10 * 9)/(3 * 2) = 165
165 ways.   165NSWER:165
Answer: A
The radii of two cones are in the ratio 2:1, their volumes are equal. Find the ratio of their heights.  Choose the correct answer.
A) 1/4 B) 1/8 C) 2/4 D) 4/1 E) None

Solution: Sol.   Let their radii be 2x, x and their heights be h and H respectively. Then,   1/3 * ∏ * (2x)² * h = 1/3 * ∏ * x² * H   or   h/H = 1/4.   1/4nswer 1/4
Answer: A
If a card is drawn from a shuffled deck of cards, what is the probability of drawing a red card or a 9?	Choices:
A) 14/27	B) 15/26	C) 7/13	D) 7/12	E) 13/26

Solution: P(Rá´œ9) = P(R) + P(9) - P(Râˆ©9), where R denotes a red card and 9 denotes a 9 card.   P(Rá´œ9) = 26/52 + 4/52 - 2/52   P(Rá´œ9) = 7/13   Answer: 7/13
Answer: C
The closest approximation of D(69.28 × 0.004)/0.03 is Choose one:
A) 0.092
B) 0.92
C) 9.2
D) 92
E) 920

Solution: D(69.28 × 0.004)/0.03   1. 0.004 = 4 × 10^(-3)   2. 0.03 = 3 × 10^(-2)   3. (a × b)/c = a × (b/c)   4. 0.004/0.03 = 4 × 10^(-3)/ (3 × 10^(-2)) = 4 × 10^( -3 - (-2))/3 = 4 × 10^(-1) / 3 = (4/3) × 10^(-1) = 1.333 × 10^(-1)   Therefore,   (69.28 × 0.004)/0.03 = 69.28 × (0.004/0.03) = 69.28 × 1.33 × 10^(-1) = 69.28 × 1.33/10 = 6.928*1.33   Now,   7 × 2 = 14   7 × 1 = 7   or better:   6.9 × 1 = 6.9   6.9 × 2 = 13.8   hence,   6.9 <6.928 × 1.33 < 13.8   9.2 is the only answer that satisfies this condition.9.2
Answer: C
Company C sells a line of 25 products with an average retail price of $1,000. If none of these products sells for less than $400, and exactly 10 of the products sell for less than $1,000, what is the greatest possible selling price of the most expensive product?
Choose the correct choice from the following choices.
A) 9000
B) 8000
C) 7000
D) 6000
E) 5000

Solution: The average price of 25 products is $1,000 means that the total price of 25 products is 25*1,000=$25,000.   Next, since exactly 10 of the products sell for less than $1,000, then let's make these 10 items to be at $400 each (min possible).   Now, the remaining 14 items cannot be priced less than $1,000, thus the minimum possible price of each of these 14 items is $1,000.   Thus the minimum possible value of 24 products is 10*400+14*1,000=$18,000.   Therefore, the greatest possible selling price of the most expensive product is $25,000-$18,200=$7,000.   Answer: 7000.
Answer: C
How many integers between 324,700 and 448,600 have tens digit 1 and units digit 3? Answers.
A) 10,300	B) 8,030	C) 1,253	D) 1,252	E) 1,239

Solution: The integers are:   324,713   324,813   etc...   448,513   The number of integers is   4486 - 3247= 
  4486 - 3247 = 1_239
1239   The answer is 1,239.
Answer: E
The greatest possible length which can be used to measure exactly the length 5m ,7m 25cm, 1m 25 cm is?	Choose the correct choice from the following options:
A) 25cm B) 101cm C) 56cm D) 42cm E) 35cm

Solution: Required length = H.C.F of 500cm, 725cm, 125cm = 25cm   25cmnswer is 25cm
Answer: A
The total number of digits used in numbering the pages of a book having 266 pages is  Choose the correct answer:	A) 732	B) 990	C) 109	D) 130	E) 690

Solution: Total number of digits   = (No. of digits in 1- digit page nos. + No. of digits in 2-digit page nos. + No. of digits in 3- digit page nos.)   = (1 x 9 + 2 x 90 + 3 x 167) = (9 + 180 + 501)= 
(9 + 180 + 501) = 690
690.   ANSW690R:690
Answer: E
A rectangular-shaped carpet that measures x feet by y feet is priced at $12. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)  Select the correct option:  A) 108/(xy)  B) 90xy  C) xy/90  D) xy/10  E) 10/(xy)

Solution: The area of the carpet in feet is xy.   The area in square yards is xy / 9.   The price per square yard is 12 / (xy/9) = 108/(xy).   The answer is 108/(xy).
Answer: A
If it takes 4 identical printing presses exactly 4 hours to print 8,000 newspapers, how long would it take 2 of these presses to print 6,000 newspapers?	Pick:
A) 6 hours	B) 8 hours	C) 7 hours	D) 5 hours	E) 9 hours

Solution: 4 presses - 8,000 newspapers - 4 hours ;   2 presses - 4,000 newspapers - 4 hours ; (240 mins)   2 presses - 6,000 newspapers - 240/4000*6000 = 360 mins = 6 hrs   6 hoursnswer : 6 hours
Answer: A
Three numbers are in the ratio 2:3:5 and their H.C.F is 30. The numbers are:
Choose the correct choice:
A) 2, 3, 5	B) 5, 10, 15	C) 10, 20, 30	D) 60, 90, 150	E) 12, 24, 39

Solution: Let the required numbers be 2x, 3x and 5x. Then, their H.C.F = x. So, x = 30.   The numbers are 60, 90, 150.   ANSWER:60, 90, 150
Answer: D
TOM traveled the entire 100 miles trip. If he did the first 50 miles of at a constant rate 20miles per hour and the remaining trip of at a constant rate 50 miles per hour, what is the his average speed, in miles per hour?  Choose the correct choice.
A) 28.36 mph
B) 26.55 mph
C) 28.57 mph
D) 25.56 mph
E) 28.45 mph

Solution: avg speed = total distance/ total time = (d1+d2)/(t1+t2) = (50+50) / ((50/20)+(50/50)) = 60*2/3 = 28.57 mph   28.57 mph
Answer: C
Two trains, each 100 m long, moving in opposite directions, cross other in 10 sec. If one is moving twice as fast the other, then the speed of the faster train is?
Choose the correct option.
A) 76 km/hr	B) 66 km/hr	C) 48 km/hr	D) 67 km/hr	E) 22 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)/10 = 3x => x = 20/3.   So, speed of the faster train = 40/3 = 40/3 * 18/5= 
40/3 * 18/5 = 48
48 km/hr.   Answer:48 km/hr
Answer: C
In the first twelve overs of a cricket game, the run rate was only 4.6. What should be the run rate in the remaining 38 overs to reach the target of 249 runs?  Pick:
A) 5.75	B) 5.1	C) 6.5	D) 6.75	E) None of these

Solution: Explanation :   Required run rate = (249 - (4.6 x 12))/38   = 193.8/38= 
193.8/38 = 5.1
5.1   Answer : 5.1
Answer: B
A large research project was scheduled over the course of a 100-month period, and a budget of $250,000 was allotted for the course of the entire project. After 10 months, the project had spent $26,000. Was the project at this point over budget or under budget, and by how much?	Choose one: A) under, $4200 B) under, $1200 C) under, $700 D) over $1800 E) over $1000

Solution: cost per month = 250,000/100 = 2,500.   Now, multiply by seven months: 10*($2500) = $25,000. That would be the budgeted amount, the amount theoretically supplied to the project. The real amount spent is more than this, so it is over budget.   $25,000 â€“ #26,000= $1000   Answer = (over $1000)
Answer: E
The sum of all consecutive odd integers from −25 to 35, inclusive, is	Choose the correct choice from the following answers:	A) 130	B) 135	C) 155	D) 195	E) 235

Solution: The sum of the odd numbers from -25 to +25 is 0.   Let's add the remaining numbers.   27+29+31+33+35 = 5(31) = 155   The answer is 155.
Answer: C
The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 136. Find their present ages.
Select the correct option:  A) 20, 28  B) 28, 36  C) 35, 45  D) 56, 72  E) of these

Solution: Let their present ages be 4x, 7x and 9x years respectively.   Then, (4x - 8) + (7x - 8) + (9x - 8) = 136   20x = 160 => x = 8   Their present ages are 32, 56 and 72 years respectively.   ANSWER:56, 72
Answer: D