MU-NLPC/Calc-aqua_rat huggingface dataset:
How many natural numbers are there between 23 and 100 which are exactly divisible by 6 ?  Pick
A) 134 B) 12 C) 11 D) 14 E) 15

Solution: A   13   Required numbers are 24, 30, 36, 42, ..., 96   This is an A.P. in which a = 24, d = 6 and l = 96   Let the number of terms in it be n.   Then tn = 96a + (n - 1)d = 96   24 + (n - 1) x 6 = 96   (n - 1) x 6 = 72   (n - 1) = 12   n = 13   Required number of numbers = 13.
Answer: A
Evaluate: 6502.5 + 650.25 + 65.025 + 6.5025 + 0.65025  Choose the most appropriate option
A) 6819.59775	B) 6981.59775	C) 7224.92775	D) 6198.59775	E) 6891.59775

Solution: 6502.5   650.25   65.025   6.5025   + 0.65025   ---------------   7224.92775   Answer is 7224.92775.
Answer: C
A water tank is three-fifth full.Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes.If both the pipes are open,how long will it take to empty or fill the tank completely? Choose the correct choice from the following choices:
A) 6 min.to empty  B) 9 min.to empty  C) 5 min.to empty  D) 4 min.to empty  E) 7 min.to empty

Solution: Explanation:   Clearly,pipe B is faster than pipe A and so,the tank will be emptied.   part to be emptied = 3/5   part emptied by (A+9 min.to empty) in 1 minute=(1/6-1/10)=1/15   so, the tank will be emptied in 9 min   Answer: 9 min.to empty
Answer: B
Look at this series: 1,4,9,16,... What number should come next?
Choose the most appropriate option:  A) 18  B) 27  C) 30  D) 25  E) 24

Solution: Explanation: This is a series of perfect square numbers.   1*1= 
1*1 = 1
1   2*2= 
2*2 = 4
4   3*3= 
3*3 = 9
9   4*4= 
4*4 = 16
16   5*5= 
5*5 = 25
25 and so on.   Answer: Option 25
Answer: D
4 weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 10 weavers in 10 days?	Choose the correct choice from the following answers: A) 10 B) 15 C) 20 D) 25 E) 30

Solution: 1 weaver can weave 1 mat in 4 days.   10 weavers can weave 10 mats in 4 days.   10 weavers can weave 25 mats in 10 days.   The answer is 25.
Answer: D
A train having a length of 240 m passes a post in 24 seconds. How long will it take to pass a platform having a length of 660 m?  Choose the correct choice from the following answers:
A) 120 sec  B) 99 sec  C) 89 sec  D) 90 sec  E) 85 sec

Solution: Explanation:   v = 240/24 (where v is the speed of the train) = 10 m/s   t = (240+660)/10= 
(240+660)/10 = 90
90 seconds   Answer: Option 90 sec
Answer: D
A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?  Choose the correct choice from the following answers:
A) 6 cm B) 5 cm C) 2 cm D) 7 cm E) 9 cm

Solution: Volume of the wire (in Cylindrical shape) is equal to the volume of the sphere.   π(16)2 * h   = (4/3)π (12)3 => h   = 9 cm   Answer: 9 cm
Answer: E
The price of 5 kilograms of premium fertilizer is the same as the price of 14 kilograms of regular fertilizer. If the price of premium fertilizer is y cents per kilogram more than the price of regular fertilizer, what is the price, in cents, per kilogram of premium fertilizer?  Choose the correct choice from the following choices.
A) y/30  B) 5/6*y  C) 6/5*y  D) 5y  E) 14y/9

Solution: Usingpfor premium andrfor regular, I got two equations from the question stem:   5p = 14r and p = r+y   Substitute for p: 5(r+y) = 14r   Distribute: 5r + 5y = 14r   Subtract 5r from both sides: 5y = 9r   Plug back into the first equation: 5p = 14(5y/9)   Distribute: 5p = 70y/9   Divide both sides by 5: p = 14y/9   The answer is 14y/9.
Answer: E
Of the 800 employees of Company X, 70 percent have been with the company for at least ten years. If y of theselong-termmembers were to retire and no other employee changes were to occur, what value of y would reduce the percent oflong-termemployees in the company to 50 percent ?
Pick:
A) 320  B) 160  C) 112  D) 80  E) 56

Solution: The # oflong-termemployees is 70%*800=560.   After y of them retire new # oflong-termemployees would become 560-y.   Total # of employees would become 800-y.   We want 560-y to be 50% of 800-y --> 560-y=(800 -y)*50% --> y = 320.   320nswer: 320.
Answer: A
A man can row with a speed of 24 kmph in still water. If the stream flows at 6 kmph, then the speed in downstream is?
Choose the correct choice from the following answers:
A) 27
B) 23
C) 30
D) 28
E) 12

Solution: M = 24   S = 6   DS = 24 + 6= 
24 + 6 = 30
30   Answer: 30
Answer: C
The average weight of A, B and C is 43 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:  Choose the correct choice from the following choices.
A) 33 kg B) 31 kg C) 32 kg D) 36 kg E) 37 kg

Solution: Let A, B, C represent their respective weights.   Then, we have: A + B + C = (45 x 3) = 129 .... (i)   A + B = (40 x 2) = 80 .... (ii)   B + C = (43 x 2) = 86 ....(iii)   Adding (ii) and (iii), we get: A + 2B + C = 166 .... (iv)   Subtracting (i) from (iv), we get : B = 37.   B's weight = 37 kg.   37 kg
Answer: E
Due to 10% decrease in the price of sugar and John can buy 5kg more sugar in Rs100 , then find the CP of sugar?	Select the correct option.
A) Rs. 2 B) Rs. 2(2/9) C) Rs. 3(2/9) D) Rs. 4 E) Rs. 4(1/9)

Solution: Here r = 10 % ,x = 100 and A = 5 kg   Actual price of sugar = 10*100/((100-10 )*5) = Rs. 2(2/9)   Rs. 2(2/9)
Answer: B
A basket contains 5 blue, 5 red and 5 yellow marbles. If 5 marbles are extracted from the basket at random, what is the probability that a marble of each color is among the extracted?  Pick:  A) 2/21  B) 3/25  C) 25/91  D) 9/28  E) 11/24

Solution: 15/15*10/14*5/13 = 50/182 = 25/91   the answer is (25/91)
Answer: C
The average weight of 8 person's 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? Select
A) 80 B) 82 C) 85 D) 87 E) 88

Solution: Total weight increased = (8 x 2.5) kg = 20 kg.   Weight of new person = (65 + 20)= 
(65 + 20) = 85
85 kg.   ANSWER 85
Answer: C
Two sides of a certain triangle have lengths 3 and 4 respectively, which of the following could be the length of the third side of the triangle?
I. 0
II. 10
III. 2
Choose the most appropriate option:
A) I only B) II only C) III only D) II and III only E) I, II and III

Solution: Following the triangle inequality rule, which states: the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides:   Difference of other 2 sides < any side < sum of other two sides. Let the third side of triangle be AB.   So, 4 - 3 < AB < 4+3,   and 1 < AB < 7   Check if any of the answers are between 1 and 7.   I: 0 ; could not be a possible value.   II: 10 ; could not be a possible value.   III: 2; could be a possible value.   Answer :III only
Answer: C
If d is the standard deviation x, y, and z, what is the standard deviation of x + 10, y + 10, z + 10 ? Answers:  A) d  B) 3d  C) 15d  D) d + 5  E) d + 15

Solution: If we add or subtract a constant to each term in a set:   Mean will increase or decrease by the same constant.   SD will not change.   If we increase or decrease each term in a set by the same percent (multiply by a constant):   Mean will increase or decrease by the same percent.   SD will increase or decrease by the same percent.   So in our case SD won't change as we are adding 10 to each term in a set --> SD=d.   dnswer: d.
Answer: A
P and Q are the only two applicants qualified for a short-term research project that pays 540 dollars in total. Candidate P has more experience and, if hired, would be paid 50 percent more per hour than candidate Q would be paid. Candidate Q, if hired, would require 10 hours more than candidate P to do the job. Candidate P’s hourly wage is how many dollars greater than candidate Q’s hourly wage?  Pick.
A) $9  B) $15  C) $18  D) $21  E) $27

Solution: Let Q's hourly wage be x, then P's hourly wage is 1.5x   Let T be the number of hours that Q needs, then P needs T-10 hours to do the job.   Since they both are paid an equal total amount of $540:   x*T=1.5x*(T-10)   T = 30 hours and Q's hourly wage is 540/30= 
540/30 = 18
$18   P's hourly wage is 540/(T-10)= $27 which is $9 per hour more.   The answer is $9.
Answer: A
When x is even, [x] = x/2 + 1, when x is odd [x] = 2x + 1 then [17]*[4] = ? Select.
A) [22]	B) [44]	C) [105]	D) [88]	E) [90]

Solution: [17]*[4]=(2*17+1)(4/2+1)   =[105].   Ans - [105]
Answer: C
10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?
Choose the correct answer:
A) 227 B) 269 C) 266 D) 298 E) 225

Solution: 1 man's 1 day work = 1/100   (10 men + 15 women)'s 1 day work = 1/6   15 women's 1 day work = (1/6 - 10/100) = 1/15   1 woman's 1 day work = 1/225   1 woman alone can complete the work in 225 days.   Answer: 225
Answer: E
Rani bought more apples than oranges. She sells apples at ₹23 apiece and makes 15% profit. She sells oranges at ₹10 apiece and makes 25% profit. If she gets ₹653 after selling all the apples and oranges, find her profit percentage Z.
Pick one:
A) 16.8%	B) 17.4%	C) 17.9%	D) 18.5%	E) 19.1%

Solution: Given: Selling price of an Apple = 23 --> Cost price = 23/1.15= 
23/1.15 = 20
20   Selling price of an orange= 10 --> Cost price = 10/1.25= 
10/1.25 = 8
8   A > O   23*(A) + 10*(O)= 653   653 - 23*(A) has to be divisible by 10 --> Units digit has to be 0   Values of A can be 1, 11, 21, 31, .... --> 1 cannot be the value   17.4%etween 11 and 21, If A = 11, O = 30 --> Not possible   If A = 21, O = 17 --> Possible   Cost price = 20*21 + 8*17 = 420 + 136= 
420 + 136 = 556
556   Profit= 653 - 556= 
653 - 556 = 97
97   Profit% Z= (97/556)*100 = 17.4%   Answer: 17.4%
Answer: B
What will come in place of the x in the following Number series? 8, 10, 14, 22, 38, x
Choices.
A) 66  B) 68  C) 70  D) 72  E) 74

Solution: 88 x 2 - 6 = 1010 x 2 - 6 = 1414 x 2 - 6 = 2222 x 2 - 6 = 3838 x 2 - 6 = 7070
Answer: C
Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 100 players took part in that tournament.
How many matches were played?
Choose the correct choice
A) 90 matches	B) 95 matches	C) 99 matches	D) 85 matches	E) 87 matches

Solution: C   99 matches.   The number of matches will always sum up to one less than the number of players in a knock out tournament. You may calculate it in any manner. Thus 99 matches were played.
Answer: C
We bought 85 hats at the store. Blue hats cost $6 and green hats cost $7. The total price was $548. How many green hats did we buy?
Choose the correct answer.
A) 36  B) 38  C) 40  D) 42  E) 44

Solution: Let B be the number of blue hats and let G be the number of green hats.   B+G=85.   B=85-G.   6B+7G=548.   6(85-G)+7G=548.   510-6G+7G=548.   G=548-510= 
548-510 = 38
38.   The answer is 38.
Answer: B
In what time will a cart 50 m long cross, if its speed be 36 km/hr?	Choose the correct choice from the following answers:	A) 25	B) 5	C) 15	D) 20	E) 30

Solution: Speed = 36 * 5/18= 
36 * 5/18 = 10
10 m/sec   Time taken= 50/10= 
50/10 = 5
5 sec.   Answer:5
Answer: B
The average of first 18 natural numbers is?  Select:
A) 5.6	B) 9.5	C) 9.1	D) 9.8	E) 5.2

Solution: Sum of 18 natural no.   = 342/2= 
342/2 = 171
171   Average= 171/18= 
171/18 = 19/2 = around 9.5
9.5   Answer:9.5
Answer: B
What is the area of a square field whose sides have a length of 13 meters?
Select the correct option.
A) 225 sq m B) 169 sq m C) 128 sq m D) 267 sq m E) 231 sq m

Solution: 13 * 13= 
13 * 13 = 169
169 sq m   The answer is 169 sq m.
Answer: B
Imagine John has 2 blue balls, 3 green balls, 1 black ball and 4 red balls. How many ways can he arrange the balls lining them up?
Choose the correct choice from the following choices:
A) 10!/(2!)2 1!	B) 10!/2! 1! 3! 1!	C) 10!/4! 4!	D) 9!/4! 3! 2!	E) 10!/4! 3! 2!

Solution: n items of which p are alike of one kind, q alike of the other, r alike of another kind and the remaining are distinct can be arranged in a row in n!/p!q!r! ways.   John has 10 balls which are 4 red balls, 3 green balls, 2 blue balls and 1 black ball.   Number of arrangements = 9!/(2!)2 3!   Answer: 10!/4! 3! 2!
Answer: E
Of the total amount that Rose spent on a shopping trip, excluding taxes, she spent 50 percent on clothing, 20 percent on food, and 30 percent on other items. If Rose paid a 4 percent tax on the clothing, no tax on the food, and an 8 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?
Pick one:  A) 2.8%  B) 4.4%  C) 4.6%  D) 5.2%  E) 6.0%

Solution: Assume she has $200 to spend.   TAX   Clothing = 50% = $100= $4.00   Food = 20% = $ 40 = $0.00   Items = 30% = $ 60 = $ 4.80   Total tax = $8.80   % of total amount = 8.8/200 * 100= 
8.8/200 * 100 = 4.4
4.4%   4.4%)
Answer: B
If two numbers are in the ratio 2:3. If 10 is subtracted from both of the numbers then the ratio becomes 2:4 then find the biggest number?
Choose the correct choice from the following.
A) 20  B) 22  C) 27  D) 28  E) 30

Solution: Given Ratio => 2:3   2x - 10 : 3x - 10 = 2 : 4   4[2x - 10] = 2[3x - 10]   8x - 40 = 6x - 20   8x - 6x = 40 - 20   x = 10   Then biggest number is = 3x   3x = 30   Ans = 30
Answer: E
The area of a parallelogram is 242sq m and its altitude is twice the corresponding base. Then the length of the base is? Select:
A) 8 B) 9 C) 7 D) 11 E) 2

Solution: 2x * x = 242 => x= 11   Answer: 11
Answer: D
(1+0.0001)/(0.04+10000)
The value of the expression above is closet to which of the following?  Answers
A) 0.0001
B) 0.001
C) 0.1
D) 1
E) 10

Solution: Notice that we need approximate value of the fraction.   Now, the nominator is very close to 1 and the denominator is very close to 10, hence the value of the fraction is very close to 1/10000=0.0001.   0.0001nswer: 0.0001
Answer: A
Mr. T has a wrong weighing pan. One arm is lengthier thanother.1 kilogram on left balances 8 melons on right.1 kilogram on rightbalances 2 melons on left. If all melons are equal in weight, what is theweight of a single melon  Choose the correct choice from the following answers:  A) 100grm  B) 200grm  C) 300grm  D) 400grm  E) 500grm

Solution: R L   8m 1kg   1kg 2m   total melons in Right and Left = 10melons   total kilogram in Right and Left = 2kg   for balance   10melons = 2kg   5melons = 1kg   So that weight of 1 melons = 1000/5= 
1000/5 = 200
200grm   ANSWER:200grm
Answer: B
Let d(n) represent the sum of the digits of the integer n. For example,
d(2016) = 2 + 0 + 1 + 6 = 9:
For how many positive 3-digit integers k is it true that d(k) > d(k + 1)? Select.
A) 90	B) 100	C) 120	D) 140	E) 40

Solution: Note that d(k) > d(k + 1) if and only if the units digit of k is 9, because if the units   digit of k is not 9, then d(k) = d(k + 1) - 1 < d(k + 1). Since there are 9 possible hundreds   digits and 10 possible tens digits, there are   9 * 10= 
  9 * 10 = 90
90 possible values of k.   correct answer 90
Answer: A
A train starts full of passengers at the first station it drops 1/3 of the passengers and takes 280 more at the second station it drops one half the new total and takes twelve more. On arriving at the third station it is found to have 244 passengers. Find the no of passengers in the beginning?
Choices
A) 292 B) 180 C) 276 D) 144 E) 168

Solution: Let no of passengers in the beginning be X   After first station no passengers=(X-X/3)+280=2X/3 +280   After second station no passengers =1/2(2X/3+280)+12   1/2(2X/3+280)+12=244   2X/3+280=2*232= 
2*232 = 464
464 - 280= 
464 - 280 = 184
184   2X/3=184   X=276. So the answer is option 276) 276.
Answer: C
If two sides of a triangle have lengths 3 and 7, which of the following could be the perimeter of the triangle?
I. 9
II. 15
III. 19  Pick one:
A) None
B) I only
C) II only
D) II and III only
E) I, II, and III

Solution: Let x be the length of the third side.   7-3 < x < 7+3   4 < x < 10   14 < perimeter < 20   The answer is II and III only.
Answer: D
The population of locusts in a certain swarm doubles every two hours. If 4 hours ago there were 1,000 locusts in the swarm, in approximately how many hours will the swarm population exceed 512,000 locusts? Choices.
A) 18	B) 15	C) 13	D) 14	E) 12

Solution: - 4 hours: 1,000   -2 hours: 2,000   Now: 4,000   + 2 hours: 8,000   + 4 hours: 16,000   + 6 hours: 32,000   + 8 hours: 64,000   + 10 hours: 128,000   + 12 hours: 256,000   + 14 hours: 512,000   Answer : 14
Answer: D
The average age of seven persons sitting in a row facing east is 28 years. If the average age of the first three persons is 21 years and the average age of the last three persons is 34 years, then find the age of the person sitting in the middle of the row?	Choices.
A) 22 B) 31 C) 17 D) 12 E) 91

Solution: Total age seven persons = (28 * 7)years   Total age of the first three persons and the last three persons are (21 * 3) years and (34 * 3) years respectively.   Age of the person sitting in the middle of the row = 28 * 7 - 21 * 3 - 34 * 3 = 196 - 63 - 102= 
196 - 63 - 102 = 31
31 years.   Answer: 31
Answer: B
The sides of a square region, measured to the nearest centimeter, are 5 centimeters long. The least possible value of the actual area of the square region is  Choose one
A) 25.25 sq cm B) 20.25 sq cm C) 30.25 sq cm D) 36.25 sq cm E) 40.25 sq cm

Solution: Though there might be some technicalities concerning the termnearest(as 4.5 is equidistant from both 4 and 5) the answer still should be : 4.5^2=20.25.   Answer: 20.25 sq cm
Answer: B
A bag is filled with pennies and nickels in the ratio of 4 to 3. There are 45 nickles in the bag, how many coins are there in that bag?	Select the correct option:
A) 40 B) 105 C) 65 D) 70 E) 80

Solution: A ratio of pennies to nickels of 4 to 3 means that we can write the number of pennies and nickels in the form   number of pennies = 4x and number of nickels = 3x   But we know the number of nickels, 45. Hence   3x = 45   Solve for x   x = 15   The total number of coins is given by   4x + 3x = 4x = 7 × 15 = 105   Answer : 105
Answer: B
A dice is rolled 3times & sum of 3 no.'sappearing on the uppermost face is 15. The chance that the first roll was four is?	Answers
A) 2/113 B) 2/115 C) 1/108 D) 1/119 E) 2/117

Solution: Sol. Total number of favorable outcomes n(S) . e . 216 1/108ombinations of outcomes for getting sum of 15 on uppermost face = (4, 5, 6) (5, 4, 6) (6, 5, 4) (5, 6, 4), (4, 6, 5), (6, 4, 5), (5, 5, 5), (6, 6, 3), (6, 3, 6) (3, 6, 6) Now outcomes on which first roll was a four, n(E) = (4, 5, 6), (4, 6, 5) P(E) n(E) 2 1 Pt') = n(S) = 216 = 1/108   1/108
Answer: C
If 20,030 + x is a multiple of 3, which of the following could be the value of x?
Pick:  A) 1  B) 2  C) 3  D) 4  E) 6

Solution: Sum of the digits of 20,030 is  2+0+0+3+0= 
 2+0+0+3+0 = 5
5   Now 5 is not a multiple of 3, the next multiple of 3 close to 5 is 9, which is 4 added to 5.   So the least number to be added to 20,030 is 4   4
Answer: D
Working alone, machine X can manufacture 1,000 nails in 12 hours. Working together, machines X and Y can manufacture 1,000 nails in 4 hours. How many hours does it take machine Y to manufacture 1,000 nails working alone?  Choose the correct answer:
A) 3 9/17	B) 6	C) 7	D) 7 1/5	E) 8 4/7

Solution: rate of machine x = 1000/12   (1000/12 + y)4=1000   y=350/3   500/3 * t = 1000   t=6   6.
Answer: B
Two trains travelling in the same direction at 70 and 35 kmph completely pass off another in 144 sec. If the length of the first train is 185 m, what is the length of the second train?	Select the correct option.
A) 1387 m	B) 1400 m	C) 1215 m	D) 1512 m	E) 185 m

Solution: RS =70 â€“ 35 = 35* 5/18 mps   T = 144 sec   D =35*5/18 * 144= 
35*5/18 * 144 = 1_400
1400 m   185   --------   1215 m   Answer: 1215 m
Answer: C
Sixteen years ago, P was half of Q in age. If the ratio of their present ages is 3:4, what will be the total of their present ages
Answers:
A) A)35 B) B)34 C) C)45 D) D)25 E) E)56

Solution: Explanation:   Let the present age of P and Q be 3x and 4x respectively.   Sixteen years ago, P was half of Q in age   => 2(3x – 16) = (4x – 16)   => 6x – 32 = 4x – 16   => 2x = 16   => x = 8   7x =7*8= 
7*8 = 56
56   Answer: Option 56
Answer: E
If you throw two dice at a same time.
Can you find the probability of getting sum as 10 of the two numbers shown ?
Select the correct option:	A) 1/16	B) 2/14	C) 1/12	D) 1/19	E) 1/17

Solution: 1/12   1/12   All possible cases can be 36 (6*6)   1/12ase we need : [(4,6), (5,5), (6,4)] = 3   probability => 3/36 = 1/12
Answer: C
An express traveled at an average speed of 100 km/hr, stopping for 3 min after every 75 kn. How long did it take to reach its destination 600 km from the starting point?  Choose the correct choice from the following.
A) 6 hrs 21 min
B) 6 hrs 71 min
C) 6 hrs 28 min
D) 6 hrs 21 min
E) 2 hrs 21 min

Solution: Time taken to cover 600 km = 600/100= 
600/100 = 6
6 hrs.   Number of stoppages= 600/75 - 1= 
600/75 - 1 = 7
7   Total time of stoppages= 3 * 7= 
3 * 7 = 21
21 min   Hence, total time taken= 6 hrs 21 min.   6 hrs 21 minnswer: 6 hrs 21 min
Answer: A
Of the five numbers in a sequence, the first term is 10,000, and each of the following terms is 40% of the previous term. What is the value range of the five numbers?  Choose the correct option:	A) 9,375	B) 9,744	C) 9,975	D) 9,984	E) 10,736

Solution: 1st number= 10,000   2nd number = 40% of 10,000= 4000   3rd number= 40% of 4000= 1600   4th number = 40% of 1600= 640   5th number= 40% of 640= 256   Range = 10,000-256= 9744   9,744 is the answer
Answer: B
Josh spends a total of $6.50 buying N items in the convenience store. If each of the items is either a 5 cents single bubblegum, or a 50 cents bubblegum pack, then N may be which of the following? Choose the most appropriate option
A) 99 B) 100 C) 121 D) 109 E) 140

Solution: Let x be 0.05$ single bubblegum and y be the total 0.5$ packs ---> 0.05x+0.5y=6.5 ---> x+10y=130 ...(1)   Also, x+y=N ...(2)   Solving 1 and 2 , we get, N = 130-9y ---> only value satisfied is when y = 1---> N = 130-9= 
130-9 = 121
121. C is the correct answer. Other options are not equal to multiples of 9 removed from 130.
Answer: C
hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is: Choose the correct option
A) 720 B) 900 C) 1200 D) 1800 E) 2100

Solution: 2(15 + 12) x h = 2(15 x 12)   h =	180/27m =	20/3	m.   Volume = 15 x 12 x	20/3	m3   Answer: Option 1200
Answer: C
When the numerator of a fraction is decreased by 25% and its denominator is decreased by 20%, the new fraction obtained is 3/4. Find the original fraction? Answers
A) 5/4
B) 4/7
C) 5/6
D) 6/7
E) None of these

Solution: Let the fraction be x/y.   When the numerator decreased by 25% and the denominator decreased by 20%.   (x * 3/4)/(y * 4/5) = 3/4 => x/y = 3/4 * (4/5)/(3/4) = 4/5   ANSWNone of theseR:None of these
Answer: E
What is the probability that two siblings, ages 6 and 8, will have the same birthday, assuming neither was born in a leap year?	Choose the correct choice from the following answers:	A) 1/133225	B) 1/365	C) 1/48	D) 1/14	E) 1/2

Solution: Since we have to account for the FULL YEAR though, we would need to consider all 365 options. You don't really need to write them all out though, since you know that each is the same product. This gives us...   (365)(1/365)(1/365)   The first two parentheses 'cancel out', leaving us with....   1/365   Final Answer:1/365
Answer: B
When 40 is subtracted from a number, it reduces to seven-twelve of the number. What is the sum of the digit of the number  Choose the correct choice from the following answers
A) 40 B) 44 C) 96 D) 98 E) 95

Solution: Explanation:   Let the number be x. Then,   x - 40 = 7x/12 => x - 7x/12 = 40   5x/12 = 40 => x = 96   Answer: Option 96
Answer: C
The reflex angle between the hands of a clock at 10:25 is?	Choose the correct answer.
A) 180°
B) 192 1⁄2°
C) 195°
D) 197 1⁄2°
E) None of these

Solution: Angle traced by hour hand in 125⁄12 hrs.   (360/12×125/12)∘=312 1/2∘   Angle traced by minute hand in 25 min.   = (360/12×25)∘=150∘   ∴ Reflex angle = 360 - (312 1/2−150)∘=312 1/2∘   Answer 197 1⁄2°
Answer: D