MU-NLPC/Calc-aqua_rat huggingface dataset:
A single letter is selected at random from the word 'PROPER'. The probability that it is a vowel is..??  Select:	A) 2/11	B) 3/11	C) 4/11	D) 0	E) 2/6

Solution: total vowels = 2, total number of letters = 6   so probability = 2/6   ANSW2/6R:2/6
Answer: E
A present value of a machine is $12800. Its value depletiation rate is 25% per annum then find the machine value after 3 years? Choose the correct choice: A) A)$5400 B) B)$4800 C) C)$36520 D) D)$32450 E) E)$42500

Solution: P= $12800   R = 25%   T = 3 years   Machine value after 3years = P/(1-R/100)^T   =12800*3/4 * 3/4 * 3/4= 
12800*3/4 * 3/4 * 3/4 = 5_400
$5400   $5400nswer is $5400
Answer: A
Two pipes P and Q can fill a cistern in 15 and 10 minutes respectively. Both are opened together, but at the end of 6 minutes the first is turned off. How much longer will the cistern take to fill?
Choose the correct option:  A) 6 1/7  B) 6 1/4  C) 6  D) 6 1/2  E) 6 1/1

Solution: 6/15+ x/10= 1   x= 6.Answer: 6
Answer: C
Find the area of a rhombus whose side is 25 cm and one of the diagonals is 31 cm?
Choose the correct choice from the following answers.
A) 276 sq.cm	B) 268 sq.cm	C) 618 sq.cm	D) 297 sq.cm	E) 620 sq.cm

Solution: Consider the rhombus ABCD. Let the diagonals intersect at E. Since diagonals bisect at right angles in a rhombus.   BE2 + AE2 = AB2   252 = 152 + AE2 AE = √(625 - 225)= 
(625 - 225) = 400
√400= 20,   AC = 20 + 20= 
20 + 20 = 40
40 cm.   Area of a rhombus= 1/2 * d1d2   = 1/2 * 40 * 31= 
1/2 * 40 * 31 = 620
620 sq.cm.   Answer:620 sq.cm
Answer: E
If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing thesame no. by 31  Pick
A) 2	B) 4	C) 5	D) 6	E) 8

Solution: P ÷ 44 = 432   => P = 432 * 44= 
432 * 44 = 19_008
19008   P / 31= 19008 / 31 = 613, remainder = 5   5
Answer: C
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units? Choose the correct choice from the following answers
A) 140 sq.units  B) 268 sq.units  C) 167 sq.units  D) 197 sq.units  E) 157 sq.units

Solution: Given that the area of the square = 1225 sq.units   => Side of square = √1225 = 35 units   The radius of the circle = side of the square = 35 units Length of the rectangle = 2/5 * 35= 
2/5 * 35 = 14
14 units   Given that breadth= 10 units   140 sq.unitsrea of the rectangle = lb = 14 * 10= 
14 * 10 = 140
140 sq.units   140 sq.unitsnswer:140 sq.units
Answer: A
A cube of edge 12cm is immersed completely in a rectangular vessel containing water. If the dimensions of the base of vessel are 20cm * 15cm , find the rise in water level? Choose the correct choice from the following choices
A) 5.76cm
B) 8.25cm
C) 11.25cm
D) 15.12cm
E) 20.62cm

Solution: Increase in volume = volume of the cube = 12*12*12 cm^3   Rise in water level = volume / area = 12*12*12/20*15 = 5.76cm   5.76cmnswer is 5.76cm
Answer: A
A ship sails 4 degrees north, then 13 S. then 17 N. then 23 S. and has finally 11 degrees of south latitude. What was her latitude at starting ?
Choices:	A) 0	B) 1	C) 2	D) 4	E) None of these

Solution: Let x = the latitude sought.   Then marking the northings +, and the southings -;   By the statement x + 4 - 13 + 17 - 23 = -11   And x = 4.   Answer 4
Answer: D
In a competitive examination in a state A, 10% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 12% candidates got selected with 100 more candidates got selected than A. What was the number of candidates appeared from each state?
Answers.
A) 4000	B) 5000	C) 5500	D) 6500	E) 4200

Solution: Let the number of candidates appeared be x   then, 12% of x - 10% of x = 100   2% of x = 100   x = 100*100/2= 
100*100/2 = 5_000
5000   Answer is 5000
Answer: B
Three runners running around a circular track can complete one revolution in 2, 4 and 5.5 respectively. When will they meet at starting point ? Choose the correct choice from the following answers: A) 40 h B) 44 h C) 38 h D) 20 h E) 22 h

Solution: Time at which they meet at starting point   = LCM of 2, 4 and 5.5   = 44 h   Answer : 44 h
Answer: B
How many cases do you need if you have to pack 500 same Dolls into cases that each hold five pair of Doll ?  Choose the correct choice from the following options
A) 25 cases
B) 35 cases
C) 50 cases
D) 45 cases
E) 40 cases

Solution: D   45   500 Dolls = 225 pairs of Dolls.   225 ÷ 5= 45 cases.
Answer: D
A candy company sells premium chocolate at $5 per pound and regular chocolate at $4 per pound in increment of whole pound only.If Barrett buys a pack of candies which costs him $30, how many pounds of premium chocolates are in the box? Select.
A) [A] 1	B) [B] 2	C) [C] 3	D) [D] 4	E) [E] 5

Solution: This question is a bit of Special equations with a single set of unique values.   the Equation stands : 5X + 4Y = 30   Subtract multiple of 5 from 31 and check whether the remaining total is divisible by 4   31 - 5= 
31 - 5 = 26
26 -> Not divisible by 4   31 - 10= 
31 - 10 = 21
21 -> Not divisible by 4   31 - 15= 
31 - 15 = 16
16 -> Divisible by 4   31 - 20= 
31 - 20 = 11
11 -> Not divisible by 4   31 - 25= 
31 - 25 = 6
6 -> Not divisible by 4   31 - 30= 
31 - 30 = 1
1 -> Not divisible by 4   Any multiple of 5 hereon will give a negative value for regular chocolates bought and hence, inadmissible   Thus Amount spent on regular chocolate= $16   Amount spent on Premium chocolate= $15   Price per premium chocolate = $5   No. Of boxes of premium chocolate bought = 14 / 7= 
14 / 7 = 2
2   Correct Option : [B] 2
Answer: B
Two trains of length 150 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Choose the correct choice from the following answers
A) 22 sec  B) 77 sec  C) 76 sec  D) 21.5 sec  E) 66 sec

Solution: Relative speed = (42 + 30) * 5/18 = 4 * 5= 
4 * 5 = 20
20 mps.   Distance covered in passing each other= 150 + 280= 
150 + 280 = 430
430 m.   The time required= d/s = 430/20= 
430/20 = 43/2 = around 21.5
21.5 sec.   Answer:21.5 sec
Answer: D
It takes 60 identical printing machines 2 hours to print 300 cards. How much more time would it take 50 of these machines to print the same total?
Choose the correct option
A) 20 min	B) 25 min	C) 26 min	D) 36 min	E) 30 min

Solution: 50% of 60 = 30% or 0.30   2 hr x 60 min = 120 min   120 min x 0.30 = 36 min   It will take 36 min longer to print them with only 50 printers.   Answer is 36 min
Answer: D
Mario and Nina each have a bag of marbles, each of which contains 5 blue marbles, 10 red marbles, and 5 white marbles. If Mario and Nina each select one marble from their respective bags, what is the probability that either Mario or Nina select a red marble?	Choices.
A) 3/4 B) 1/4 C) 2/4 D) 1/8 E) 1/16

Solution: Mario and Nina each select one marble from their respective bags.   Probability that either Mario or Nina select a red marble = Probability that Mario selects a red marble + Probability that Nina selects a red marble   Probability that either Mario or Nina select a red marble = (10/20)*(10/20) + (10/20)*(10/20) = 2*(1/4)   Probability that either Mario or Nina select a red marble = 1/2   Answer would be 2/4.
Answer: C
A bag contains a certain number of 50 paise coins, 20 paise coins and 10 paise coins inthe ratio 3:4:5. If the total value of all the coins in the bag is Rs.420, find the number of 50 paise coins ?
Choose the correct choice from the following:
A) 498
B) 488
C) 450
D) 528
E) 418

Solution: 50*3k + 20*4k + 10*5k = 42000   280k = 42000 => k = 150   50p coins = 3k = 3*150= 
3*150 = 450
450   ANSWER:450
Answer: C
The average weight of the teacher and six students is 12 kg which is reduced by 5 kg if the weight of the teacher is excluded. How much does the teacher weigh ?  Choose the correct choice from the following answers.
A) 42
B) 77
C) 66
D) 28
E) 11

Solution: lanation:   Total age of the students and teacher together = 7 × 12 = 84   New average after excluding teacher = 6 × 7 = 42   Teachers weight = 74 - 42 = 42   42nswer:42
Answer: A
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units? Choose the correct choice from the following options.
A) 140	B) 150	C) 160	D) 170	E) 180

Solution: Given that the area of the square = 1225 sq.units   => Side of square = √1225 = 35 units   The radius of the circle = side of the square = 35 units Length of the rectangle = 2/5 * 35= 
2/5 * 35 = 14
14 units   Given that breadth= 10 units   140rea of the rectangle = lb = 14 * 10= 
14 * 10 = 140
140 sq.units   140nswer: Option 140
Answer: A
The remainder when 1!+2!+3!...+50! divided by 7! will be	Choose the correct choice from the following choices
A) 21  B) 873  C) 777  D) 927  E) 19

Solution: The remainder when the terms greater than 7! are divided by 7! becomes 0 so we need to consider the terms upto 6!.   So remainder will be whatever is obtained by dividing 1!+2!+3!+4!+5!+6! with 7!.   So remainder is obtained by dividing  (1+2+6+24+120+720)= 
 (1+2+6+24+120+720) = 873
873 with 7! ( 5040)   So remainder is 873.   Answer:873
Answer: B
In how many ways letters of the word POLICIES be arranged? Choose the most appropriate option:
A) 45326 B) 28763 C) 20160 D) 45693 E) 54823

Solution: POLICIES has 8 letters, out of which I repeated 2 times. Hence total ways = 8! / 2! = 20160ways   20160
Answer: C
There are 70 supermarkets in the FGH chain. All of them are either in the US or Canada. If there are 14 more FGH supermarkets in the US than in Canada, how many FGH supermarkets are there in the US?	Pick one
A) 20
B) 31
C) 42
D) 53
E) 64

Solution: x + (x - 14) = 70 --> x = 42.   Answer: 42.
Answer: C
The sector of a circle has perimeter 83 cm and central angle 225o. Find its radius?  Choose the correct choice from the following:
A) 21 cm	B) 15 cm	C) 14 cm	D) 24 cm	E) 28 cm

Solution: Let radius = x cm   Perimeter of the sector = length of the arc + 2(radius)   83= (225/360 * 2 * 22/7 * x) + 2(x)   83= 55x/14 + 2x   83 = 83x/14   1162=83x   x = 14   Answer: 14 cm
Answer: C
An automobile financier claims to be lending money at S.I., but he includes the interest every six months for calculating the principal. If he is charging an interest of 20%, the effective rate of interest becomes?
Choose the correct choice from the following answers:
A) 40.5%	B) 20.5%	C) 10%	D) 30.5%	E) 50.5%

Solution: Let the sum be Rs. 100. Then,   S.I. for first 6 months = (100 * 20 *1) / (100 * 2) = Rs. 10   S.I. for last 6 months = (105 * 20 * 1) / (100 * 2) = Rs. 10.5   So, amount at the end of 1 year = (100 + 10+10.5) = Rs. 120.5   Effective rate = (120.5- 100)= 
(120.5- 100) = 20.5
20.5%.   ANSWER:20.5%
Answer: B
At a certain zoo, the ratio of sea lions to giraffes is 7 to 11. If there are 81 more giraffes than sea lions at the zoo, how many sea lions are there?	Choose the correct option:	A) 24	B) 36	C) 48	D) 72	E) 141

Solution: 7/11 = x / x+81   7*81 = 4x   x=141   E. 141
Answer: E
If k is the greatest positive integer such that 3^k is a divisor of 18! then k = Choose the correct choice from the following options
A) 3
B) 4
C) 5
D) 6
E) 8

Solution: 18/3= 
18/3 = 6
6   18/9= 
18/9 = 2
2   6+2= 
6+2 = 8
8   k=8   Answer:8
Answer: E
A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?  Choose the correct option:
A) 867 Sec	B) 190 Sec	C) 686 Sec	D) 686 Sec	E) 466 Sec

Solution: L = S*T   S= 1200/120= 
1200/120 = 10
10 m/Sec.   Total length (D)= 1900 m   T = D/S   T = 1900/10= 
1900/10 = 190
190 Sec   Answer:190 Sec
Answer: B
There is a 50% chance that Alice will visit China this year, while there is a 20% chance that she will visit Brazil this year. What is the probability that Alice will visit either China or Brazil this year, but NOT both?  Choose the correct option
A) 50%  B) 45%  C) 40%  D) 35%  E) 30%

Solution: P(China but not Brazil)=0.5*0.8= 
0.5*0.8 = 0.4
0.4   P(Brazil but not China)=0.2*0.5= 
0.2*0.5 = 0.1
0.1   P(China or Brazil but not both)=0.4+0.1= 
0.4+0.1 = 0.5
0.5   The answer is 50%.
Answer: A
A certain store sells only black shoes and brown shoes. In a certain week, the store sold x black shoes and y brown shoes. If 2/5 of all shoes sold that week were black, which of the following expressions represents the value of y, in terms of x?	Choose the most appropriate option:
A) x/3 B) x/2 C) 2x/3 D) 3x/2 E) 2x

Solution: x/(x+y) = 2/5   5x = 2x+2y   3x = 2y   y = 3x/2   Answer 3x/2
Answer: D
In a stockpile of products produced by three machines M1, M2 and M3, 40% and 30% were manufactured by M1 and M2 respectively. 3% of the products of M1 are defective, 1% of products of M2 defective, while 93% of the products of M3 III are not defective. What is the percentage of defective in the stockpile? Choose the correct option:
A) 3%  B) 5%  C) 2.5%  D) 4%  E) 3.6%

Solution: Explanation :   Let there be 100 products in the stockpile. 40% and 30% were manufactured by M1 and M2 respectively. So, 30% are manufactured by M3.   Products from M1 = 40, from M2 = 30 and from M3 = 30.   Number of defective products from M1 = 0.03 x 40 = 1.2, from M2 = 0.01 x 30 = 0.3 and from M3 = 0.07 x 30 = 2.1   Therefore, total number of defective products = 3.6   Answer : 3.6%
Answer: E
The length of a room is 5.5 m and width is 3.75 m. What is the cost of paying the floor by slabs at the rate of $300 per sq. metre.	Select the correct option.
A) $2587.50	B) $3587.50	C) $4187.50	D) $6187.50	E) $8587.50

Solution: Area =5.5×3.75 sq. metre.   Cost for 1 sq. metre. = $300   Hence, total cost   =5.5×3.75×300= $6187.50   $6187.50
Answer: D
A sum of money is sufficient to pay X's wages for 36 days and Y's wages for 45 days. The same money is sufficient to pay the wages of both for?
Choose the correct choice from the following answers:
A) 16
B) 17
C) 18
D) 19
E) 20

Solution: Let the total money be $x   X's 1day work = $ x/36   Y's 1day work = $ x/45   X+Y 1day work = $ x/20   Money is sufficient to pay the wages of both for 20days   Answer is 20
Answer: E
The cost of 6 pens is 10 more than 5 marker's cost. The 12 pens is Rs.240.
Choose the most appropriate option
A) Rs.11  B) Rs.42  C) Rs.24  D) Rs.110  E) Rs.22

Solution: Let the cost of each pen and marker be 'p' and 'q' respectively.   6p - 5q = 10 --- (1)   12p= 240 . P=20   6p - 5q = 10 --- (2)   120-5q =10   =>5q = 110   => q=22   ANSWRs.22R:Rs.22
Answer: E
Find a number such that it exceeds 18 by three times the number by which it is less than 86? Choose the correct choice from the following answers.
A) 67 B) 68 C) 69 D) 70 E) 71

Solution: x-18=3[86-x]   x=69   ANSWER:69
Answer: C
Three numbers are in the ratio 5 : 6 : 7. The sum of its longest and smallest numbers equals the sum of the third number and 85. Find the third number?  Select the correct option.
A) A)37 B) B)85 C) C)48 D) D)43 E) E)84

Solution: Let the numbers be 5x, 6x, 7x.   Largest number = 7x.   Smallest number = 5x.   Third number = 6x.   7x + 5x = 6x + 85   6x = 85 => third number is 85.   Answer: Option 85
Answer: B
The ratio of football players, baseball players, soccer players, and basketball players in a school is 10:7:5:4. How many athletes are in the school if 16 players are on the basketball team?  Choose the correct choice from the following
A) 40 B) 92 C) 104 D) 208 E) 80

Solution: The ratio is 10 football players: 7 baseball players: 5 soccer players: 4 basketball players.   Divide 16 by 4 to find 1 "part" of the ratio.   16/4= 
16/4 = 4
4   Multiply 4 by 5 to find the number of soccer players.   4*5= 
4*5 = 20
20   Multiply 4 by 7 to find the number of baseball players.   4*7= 
4*7 = 28
28   Multiply 4 by 10 to find the number of football players.   4*10= 
4*10 = 40
40.   Add them all up to find total athletes.   16+20+28+40= 
16+20+28+40 = 104
104   The answer is 104.
Answer: C
Rectangle ABCD is constructed in the coordinate plane parallel to the x- and y-axes. If the x- and y-coordinates of each of the points are integers which satisfy 5 ≤ x ≤ 11 and -5 ≤ y ≤ 5, how many possible ways are there to construct rectangle ABCD?  Answers.
A) 396 B) 1260 C) 1155 D) 7920 E) 15840

Solution: As the rectangle is parallel to coordinate axes, the coordinates of the points of the rectangle would be   (X1, Y1), (X2, Y1), (X2, Y2), (X1,Y2)   given that X1, X2 lie between 5 and 11..ie., 7 possible numbers   Possible combinations for X1,X2 would be 7C2 = 21   Similarly, Possible combinations for Y1, Y2 would be 11C2 = 55   Possible ways of constructing rectangle is by selecting any of the combination of X1,X2 and Y1,Y2   = 21 * 55= 
21 * 55 = 1_155
1155   Ans. 1155
Answer: C
How much does a watch lose per day, if its hands coincide ever 64 minutes? Choose the correct choice from the following answers
A) 32x8/11 min B) 36x8/11 min C) 90 min D) 96 min E) None

Solution: 55 min. spaces are covered in 60 min. 60 min. spaces are covered in (60/55 x 60) min = 65x5/11 min. Loss in 64 min.(65x5/11 - 64). = 16/11 Loss in 24 hrs(16/11x1/64x24x60)min = 32x8/11.   32x8/11 minnswer 32x8/11 min
Answer: A
The average speed of a car decreased by 3 miles per hour every successive 8-minutes interval. If the car traveled 3.6 miles in the sixth 8-minute interval, what was the average speed of the car, in miles per hour, in the first 8 minute interval? Choose the most appropriate option.
A) 30  B) 34  C) 38  D) 42  E) 46

Solution: (3.6 miles / 8 minutes)*60 minutes/hour = 27 mph   Let x be the original speed.   x - 5(3) = 27   x = 42 mph   The answer is 42.
Answer: D
Working at constant rate, pump X pumped out half of the water in a flooded basement in 5 hours. The pump Y was started and the two pumps, working independently at their respective constant rates, pumped out rest of the water in 3 hours. How many hours would it have taken pump Y , operating alone at its own constant rate, to pump out all of the water that was pumped out of the basement?
Options:
A) a. 10
B) b. 12
C) c. 14
D) d. 26
E) e. 24

Solution: rate of x=1/8   rate of x+y=1/6   rate of y=1/6-1/8=1/24   26 hours   d. 26
Answer: D
In a 200 metres race A beats B by 35 m or 7 seconds. A's time over the course is: Choose the correct option:
A) 40 sec
B) 47 sec
C) 33 sec
D) 35 sec
E) None of these

Solution: speed of B=s2.   A's time of course=t.   200=s2*(t+7) ---(eq 1)   200-35=s2*t ---(eq 2)   from these 2 eqs, we get t=33sec.   ANSWER:33 sec
Answer: C
Little John had $8.50. He spent $1.25 on sweets and gave to his two friends $1.20 each. How much money was left?
Choose the correct choice from the following answers
A) $3.95
B) $6.65
C) $9.75
D) $7.25
E) $4.85

Solution: John spent and gave to his two friends a total of   1.25 + 1.20 + 1.20= 
1.25 + 1.20 + 1.20 = 3.65
$3.65   Money left    8.50 - 3.65= 
 8.50 - 3.65 = 4.85
$4.85   correct answer $4.85
Answer: E
A father is now three times as old as his son. NINE years back, he was four times as old as his son. The age of the son (in years) is
Select.
A) 12  B) 15  C) 18  D) 20  E) 27

Solution: If father's age is F and son's age is S, then   F=3S   and   F-9 = 4*(S-9)   3S-9 =4S-36   S=27   F=81 years   ANSW27R:27
Answer: E
Six children — A, B, C, D, E and F— are going to sit in six chairs in a row. The children B & F have to sit next to each other, and the others can sit in any order in any remaining chairs. How many possible configurations are there for the children?  Choose the most appropriate option:
A) 240 B) 720 C) 1440 D) 4320 E) 4800

Solution: for such questions , we can treat both as one then total person=5.   these 5 can be arranged in 5! ways.. but within these 5 , one consists of two people who can be arranged in 2 ways BF or FB.. so ans =5!*2=240   ans 240
Answer: A
220% of a number X is 44. What is 44% of X. Pick.
A) 8.8	B) 8.9	C) 6.6	D) 7.7	E) None

Solution: Solution: Given,   220% of X = 44   Or, X = 20.   Thus,   44% of 20   = (44 *20) /100= 
(44 *20) /100 = 44/5 = around 8.8
8.8   8.8nswer: Option 8.8
Answer: A
A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning? Choose the correct choice from the following answers:
A) 39
B) 42
C) 58
D) 62
E) 75

Solution: Let the average after 7th inning = x   Then average after 16th inning = x - 3   therefore 16(x-3)+87 = 17x   therefore x = 87 - 48= 
87 - 48 = 39
39   39nswer 39
Answer: A
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?
A. 30 km/hr B. 45 km/hr Choose the correct answer
A) 11	B) 78	C) 60	D) 28	E) 81

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
Answer: C
If a is an integer greater than 8 but less than 15 and b is an integer greater than 6 but less than 21, what is the range of a/b?	Choose the correct choice from the following options
A) 140/217	B) 156/185	C) 217/140	D) 263/149	E) 241/163

Solution: The way to approach this problem is 8<a<15 and 6<b<21   Minimum possible value of a is 9 and maximum is 14   Minimum possible value of b is 7 and maximum is 20   Range = max a/min b - min a/max b   (Highest - lowest)   14/7 - 9/20 = 217/140   Hence 217/140
Answer: C
sale of Rs 6835, Rs. 9927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs, 6900 ?
Choose the correct choice from the following answers:
A) 4966
B) 6477
C) 7391
D) 2676
E) 1881

Solution: Total sale for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) = Rs. 34009.   Required sale = Rs.[(6900 x 6) - 34009]   = Rs. (41400 - 34009)   = Rs. 7391   Answer: 7391
Answer: C
If x and t are integers and 2x–t= 11, then 4x+ t CANNOT be  Choose the correct answer.
A) –5 B) 1 C) 13 D) 17 E) 551

Solution: 2x-t=11....t=2x-11   4x+t=4x+2x-11=6x-11   6x-11=-5...x=1   6x-11=1... x=2   6x-11=13...x=4   6x-11=17..X is not integer   6x-11=551..X is not integer   I think the choice E is 55 not 551. Otherwise both 17E CANNOT be solution=17
Answer: D
Find the unknown term 8,8,X,2,-4, -12
Answers.
A) 2 B) 4 C) 6 D) 8 E) 9

Solution: 8,8,X,2,-4, -12   i guess each differ in d range of 2   8 - 8= 
8 - 8 = 0
0   8 - 6= 
8 - 6 = 2
2   6 - 2= 
6 - 2 = 4
4   2 - 6= -4   -4 - 8 = -12   ANSWER:6
Answer: C
A tradesman sold an article at a loss of 25%. If the selling price had been increased by $500, there would have been a gain of 15%. What was the cost price of the article ?	Choose the correct choice from the following
A) $1000  B) $1200  C) $1120  D) $1350  E) $1250

Solution: Let C.P. be $x   Then 125% of x - 85% of x = 500   40% of x = 500   2x/5 = 500   x = $1250   Answer is $1250
Answer: E
Diana is painting statues. She has 7/8 of a gallon of paint remaining. Each statue requires 1/8 gallon of paint. How many statues can she paint?
Pick one
A) 7	B) 20	C) 28	D) 14	E) 19

Solution: number of statues=all the paint÷amount used per statue   =7/8 ÷ 1/8   =7/8*8/1= 
7/8*8/1 = 7
7/1= 
7/1 = 7
7   7nswer is 7.
Answer: A
Natasha climbs up a hill, and descends along the same way she went up. It takes her 4 hours to reach the top and 2 hours to come back down. If her average speed along the whole journey is 3.5 kilometers per hour, what was her average speed (in kilometers per hour) while climbing to the top?	Choose the correct choice from the following answers:
A) 2.125	B) 2.375	C) 2.625	D) 2.675	E) 2.825

Solution: Let the distance to the top be x, so the total distance traveled by Natasha is 2x.   The total time is 4 + 2= 
4 + 2 = 6
6 hours   The average speed= total distance/total time taken = 2x/6 = x/3   The average speed of the complete journey is 3.5 km/hour   x/3 = 3.5   x = 10.5 km   The average speed while climbing = distance/time = 10.5/4= 
10.5/4 = 2.625
2.625 km/h   The answer is 2.625.
Answer: C