MU-NLPC/Calc-aqua_rat huggingface dataset:
10% of a 50% alcohol solution is replaced with water. From the resulting solution, again 10% is replaced with water. This step is repeated once more. What is the concentration of alcohol in the final solution obtained? Choose one:
A) 3%	B) 20%	C) 25%	D) 36%	E) 40%

Solution: Since the numbers in the answers are pretty far apart. I just simplified and rounded.   Alcohol = 50%   Total - 10% * 3 = 70%    .5 * .7= 
 .5 * .7 = 0.35
.35 (so that means 70% of 50% of the total is 35%)   Answer: 36%) 36
Answer: D
Two boats start from opposite banks of river perpendicular to the shore. One is faster then the other. They meet at 720 yards from one of the ends. After reaching opposite ends they rest for 10mins each. After that they start back. This time on the return journey they meet at 400yards from the other end of the river. Calculate the width of the river.
Pick:
A) 1660 yard	B) 1760 yard	C) 1860 yard	D) 1560 yard	E) 1460 yard

Solution: Let us assume that width of river d yards and speed of boats - x and y yards/min respectively.Hence the two equations are :1) (d-720)/x = 720/y2) (d/y+10+400/y) = (d/x + 10 + (d-400)/x)Solving the two equationsWe get d=1760 yard   ANSWER:1760 yard
Answer: B
In an IT company, there are a total of 120 employees including 50 programmers. The number of male employees is 80, including 35 male programmers. How many employees must be selected to guaranty that we have 3 programmers of the same sex?	Choose the most appropriate option
A) 10 B) 50 C) 55 D) 35 E) 75

Solution: You could pick 70 non-programmers, 2 male programmers, and 2 female programmers, and still not have 3 programmers of the same sex. But if you pick one more person, you must either pick a male or a female programmer, so the answer is 75.   75
Answer: E
A train 360 m long is running at a speed of 48 km/hr. In what time will it pass a bridge 140 m long? Choose the most appropriate option: A) 40 sec B) 11 sec C) 37.5 sec D) 19 sec E) 10 sec

Solution: Speed = 48 * 5/18 = 40/3 m/sec   Total distance covered = 360 + 140= 
360 + 140 = 500
500 m   Required time= 500 * 3/40= 
500 * 3/40 = 75/2 = around 37.5
37.5 sec   Answer: 37.5 sec
Answer: C
If (18^a) * 9^(3a – 1)= (2^4)(3^b) and a and b are positive integers, what is the value of a?	Choose the correct answer:  A) 22  B) 11  C) 9  D) 6  E) 4

Solution: (18^a) * 9^(3a – 1)= (2^4)(3^b)   = 2^a . 9^a . 9^(3a – 1) = (2^4)(3^b)   Just compare powers of 2 from both sides   Answer = 4 = 4
Answer: E
A certain company expects quarterly earnings of $0.80 per share of stock, half of which will be distributed as dividends to shareholders while the rest will be used for research and development. If earnings are greater than expected , shareholders will receive an additional $0.04 per share for each additional $0.10 of per share earnings. If quarterly earnings are $1.10 per share, what will be the dividend paid to a person who owns 600 shares of the company's stock?
Choose the correct option:	A) $92	B) $312	C) $104	D) $120	E) $240

Solution: EPS Actual> EPS expected.   each gets and additional .12 per share.   Thus .52*600 --> $312   answer is $312
Answer: B
If Jake loses 8 pounds, he will weigh twice as much as his sister Kendra. Together they now weigh 293 pounds. What is Jake’s present weight, in pounds? Choose the correct choice:
A) 182	B) 186	C) 190	D) 194	E) 198

Solution: J + K = 293 and so K = 293 - J   J - 8 = 2K   J - 8 = 2(293-J)   3J = 594   J = 198   The answer is 198.
Answer: E
Four dice are thrown simultaneously. Find the probability that all of them show the same face.	Choose the correct choice from the following options
A) 1/216	B) 1/212	C) 1/272	D) 1/220	E) 8/216

Solution: Explanation:   The total number of elementary events associated to the random experiments of throwing four dice simultaneously is:   =   n(S) =   Let X be the event that all dice show the same face.   X = { (1,1,1,1,), (2,2,2,2), (3,3,3,3), (4,4,4,4), (5,5,5,5), (6,6,6,6)}   n(X) = 6   Hence required probability   1/216nswer: 1/216) 1/216
Answer: A
How many liters of 20% alcohol solution should be added to 40 liters of a 50% alcohol solution to make a 30% solution?
Choose the most appropriate option.
A) 60 liters	B) 70 liters	C) 80 liters	D) 90 liters	E) 50 liters

Solution: Let x be the quantity of the 20% alcohol solution to be added to the 40 liters of a 50% alcohol. Let y be the quantity of the final 30% solution. Hence   x   + 40= 
  + 40 = 40
y   We shall now express mathematically that the quantity of alcohol in x liters plus the quantity of alcohol in the 40 liters is equal to the quantity of alcohol in y liters. But remember the alcohol is measured in percentage term.   20% x + 50% * 40= 30% y   Substitute y by x + 40 in the last equation to obtain.   20% x + 50% * 40 = 30% (x + 40)   Change percentages into fractions.   20 x / 100 + 50 * 40 / 100= 30 x / 100 + 30 * 40 / 100   Multiply all terms by 100 to simplify.   20 x + 50 * 40 = 30 x + 30 * 40   Solve for x.   x = 80 liters   80 liters of 20% alcohol is be added to 40 liters of a 50% alcohol solution to make a 30% solution   Answer 80 liters
Answer: C
Peter walks along Sunrise Boulevard daily. He starts walking at 07:00 from block 10 and walks to block 90 where he turns around and walks back to block 70, where he stops at 07:30. The blocks along the boulevard are numbered sequentially (1,2,3), and each block measures 30 meters. What is Peter's speed in meters per minute?
Select the correct option
A) 100 B) 180 C) 198 D) 216 E) 252

Solution: Total distance from 10 to 90 =80 + from 90 to 70 =20   So the dist is 100×30(per block dist)   Speed = 3000mts/30min =100m/min   100 is the answer
Answer: A
A clock gains 15 minutes per day. It is set right at 12 noon. What time will it show at 4.00 am, the next day?	Choose the most appropriate option:
A) 4 : 10 am	B) 4 : 45 am	C) 4 : 20 am	D) 5 : 00 am	E) None of these

Solution: The clock gains 15 min in 24 hours.   Therefore, in 16 hours, it will gain 10 minutes.   Hence, the time shown by the clock will be 4.10 am.   4 : 10 amnswer 4 : 10 am
Answer: A
How much more would Rs.40000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?  Pick one:
A) 482  B) 725  C) 964  D) 837  E) 923

Solution: 40000(11/10)4 - 40000(6/5)2 = 964   Answer:964
Answer: C
A boat running up stram takes 6 hours to cover a certain distance, while it takes 8 hours to cover the same distance running down stream. what is the ratio between the speed of the boat and the speed of water current respectively?
Choose the most appropriate option:
A) 2 : 3  B) 5 : 6  C) 4 : 5  D) 7 : 1  E) 8 : 1

Solution: Explanation:   Let speed of boat is x km/h and speed stream is y km/hr   6(x+y) = 8(x-y)   6x+6y = 8x-8y   14y = 2x   7y = x   x/y = 7/1   7 : 1   Answer: Option 7 : 1
Answer: D
50% of the apartments in a certain building have windows and hardwood floors. 25% of the apartments without windows have hardwood floors. If 40% of the apartments do not have hardwood floors, what M percent of the apartments with windows have hardwood floors? Choose one:
A) 10  B) 16 2/3  C) 40  D) 50  E) 83 1/3

Solution: yup you need to construct a matrix   X********| Windows'|No Windows'''| total   hardFl****'|50*****''|10*********'|60   Not hardFl*|10******|30*********'|40   Total*****|60******'|40*********'|100   so M percent of the apartments with windows have hardwood floors = 50/60 *100   = 83 1/3   so 83 1/3 is the answer.[/u]
Answer: E
A coin is tossed 4 times. What is the probability a that the number of Heads is equal to the number of Tails?	Choose the correct answer.
A) 1/8  B) 1/4  C) 3/8  D) 1/2  E) 9/16

Solution: We have to find the probability that we get 2 heads and 2 tails in 4 tosses of the coin.   Using the binary formula and defining a head as a success,   P(2 heads in 4 tosses) = 43/82* (1/2)^2 * (1/2)^2   = 6/16   a= 3/8   The answer is therefore (3/8)
Answer: C
In Goshawk-Eurasian nature reserve 30 percent of the birds are Hawks, and 40 percent of the non-Hawks are Paddyfield-Warblers. If there are 25 percent as many Kingfishers as Paddyfield-Warblers in the reserve, then what percent of the birds X in the nature reserve are not Hawks, Paddyfield-Warblers, or Kingfishers? Select
A) 25%
B) 35%
C) 45%
D) 70%
E) 80%

Solution: 1. We are given the following percentages: 30 (70), 40 (60), 25 (75). There are two threads from here. First starts at 30% and finishes there. Second one starts at 70, then 40, and then 25. We need a value that is divisible by 7, 2, and 5 at least once. lets pick a number now, say 700. So say if Non Hawks are 700 (this is 70% of the total, so total = 1000), then Paddy Warbs are 2/5 x 700 = 1400/5= 
1400/5 = 280
280. Kingfishers, therefore, are   280/4= 
  280/4 = 70
70. Lets add them up. 300 hawks + 280 Peddy Warbs + 70 kingsifhers= 650. So all others are  1000 - 650= 
 1000 - 650 = 350
350 or 35% of total birds.   The main job here to to identify the smart number to start the question with. This can be time consuming, but once identified, this question can be solved fairly quickly.   2. Another method: If X is total --> Non Hawks= 0.7X --> Warbs = 0.4(0.7X) --> KFs = 0.25(0.4(0.7X)).   Our job is to find out X: (0.3X + 0.28X + 0.07X)/ X. OR 0.65X/X = 0.65. We need to find   1-0.65= 
  1-0.65 = 0.35
0.35 or 35%.35%
Answer: B
How many seconds will a train 60 meters long take to cross a bridge 120 meters long if the speed of the train is 30 m/sec?
Choose the correct choice from the following choices:
A) 6 sec
B) 8 sec
C) 15 sec
D) 3 sec
E) 5 sec

Solution: D = 60+120= 
60+120 = 180
180   S= 30 mps   T = 180/30= 
180/30 = 6
6 sec   6 sec) 6 sec
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 4 hours and 10 hours respectively. The ratio of their speeds is Select the correct option:
A) 4 : 9  B) 4 : 3  C) 4 : 12  D) 4 : 8  E) 5 : 2

Solution: Let us name the trains as A and B. Then, (A's speed) : (B's speed) = b : a = 10 : 4 = 5 : 2.Answer: 5 : 2
Answer: E
The present worth of a sum due sometime hence is Rs. 576 and the banker’s gain is Rs. 16. The true discount is :
Choose the correct option:
A) 36
B) 52
C) 66
D) 96
E) None

Solution: Sol.   T.D. = √P.W. * B.G. = √576 * 16 = 96.   Answer 96
Answer: D
A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?  Choose the correct choice:
A) 400	B) 500	C) 550	D) 600	E) 650

Solution: C's 1 day's work =	1	- 1	+	1 =	1	-	7	1 - 1 + 1= 
1 - 1 + 1 = 1
1	-	7=	1	.   3	6	8	3	24	24   A's wages : B's wages : C's wages =	1	:	1	:	1	= 4 : 3 : 1.   6	8	24   C's share (for 3 days) = Rs. 3 x	1	x 3200 = Rs. 400.   Option 400
Answer: A
What is 15% of 2/3 of 0.7? Pick:
A) 0.07
B) 0.9
C) 9
D) 90
E) None of the above

Solution: The best way to solve these questions is to convert every term into fraction   (15/100)*(2/3)*(7/10) = 210/3000= 
210/3000 = 7/100 = around 0.07
0.07   Option 0.07
Answer: A
In Arun's opinion, his weight is greater than 62 kg but leas than 72 kg. His brother does not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 65 kg. If all of them are correct in their estimation, what is the average of diferent probable weights of Arun ? Choose the correct choice from the following.
A) 86.5 kg  B) 63.5 kg  C) 46.5 kg  D) 26.5 kg  E) 16.5 kg

Solution: Let Arun's weight be X kg.   According to Arun, 62 < X < 72.   According to Arun's brother, 60 < X < 70.   According to Arun's mother, X < 65.   The values satisfying all the above conditions are 63 and 64.   Required average = (63 + 64) / 2= 
(63 + 64) / 2 = 127/2 = around 63.5
63.5 kg   Answer: 63.5 kg
Answer: B
A mixture of sand and cement contains, 3 parts of sand and 5 parts of cement. How much of the mixture must be substituted with sand to make the mixture half sand and half cement?	Choose the correct option
A) 1/3 B) 1/4 C) 1/5 D) 1/7 E) 1/8

Solution: We have total of 8 parts: 3 parts of sand and 5 parts of cement.   In order there to be half sand and half cement (4 parts of sand and 4 parts of cement), we should remove 1 part of cement. With 1 part of cement comes 3/5 parts of sand, so we should remove 1 + 3/5 = 8/5 part of the mixture, which is (8/5)/8 = 1/5 of the mixture.   Answer: 1/5.
Answer: C
Daniel went to a shop and bought things worth Rs. 40, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items? Choose the correct answer:
A) A)34.7  B) B)20  C) C)21.3  D) D)21.5  E) E)22

Solution: Total cost of the items he purchased = Rs.40   Given that out of this Rs.40, 30 Paise is given as tax   => Total tax incurred = 30 Paise = Rs.30/100   Let the cost of the tax free items = x   Given that tax rate = 6%   ∴ (40−30/100−x)6/100 = 30/100   ⇒ 6(40 −0.3 −x) = 30   ⇒ (40 − 0.3 − x) = 5   ⇒ x = 40 − 0.3 − 5   = 34.7   34.7ns - 34.7
Answer: A
What is the smallest positive integer x such that 520-x is the cube of a positive integer
Choose the most appropriate option:
A) 5	B) 7	C) 8	D) 9	E) 12

Solution: Given 520-x is a perfect cube   so we will take 512= 8*8*8   520-x = 512   x =520-512= 
520-512 = 8
8   correct option is 8
Answer: C
If k, (k+200), (k+350), and 15*K are all multiples of D, then D could equal which of the following ?  Select the correct option
A) 20  B) D=25  C) D=75  D) 100  E) 150

Solution: {Multiple of D} - {Multiple of D} = {Multiple of D}.   (K+200) - k = 200 = {Multiple of D}.   (K+350) - k = 350 = {Multiple of D}.   Both 200 and 350 are multiples of only option B.   Answer: D=25.
Answer: B
A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems? Choose the correct choice from the following choices
A) 1278
B) 2799
C) 1023
D) 1782
E) 2781

Solution: Given that, the question paper consists of five problems. For each problem, one or two or three or none of the choices can be attempted.   Hence, the required number of ways = 45 - 1.   = 210 - 1 = 1024 - 1= 
1024 - 1 = 1_023
1023   Answer: 1023
Answer: C
A plane was originally flying at an altitude of x feet when it ascended 2,000 feet and then descended 5,000 feet. If the plane's altitude after these two changes was 1/7 its original altitude, then the solution of which of the following equations gives the plane's original altitude, in feet ? Choose the correct answer:  A) x + 2000 = 1/3*(x - 3000)  B) 1/3*(x - 3000) = x  C) x + 3000 = 1/3*x  D) x - 7000 = 1/3*x  E) x - 3000 = 1/7*x

Solution: Plane's original altitude = x   Plane's new altitude after ascending 2000 ft = x+2000   Plane's new altitude after descending 5000 ft from previous altitude = x+2000-5000 = x-3000   So, after two changes plane is at 1/7 its original altitude => x-3000 = x/7   Answer (x - 3000 = 1/7*x)
Answer: E
Two employees A and B are paid a total of Rs. 560 per week by their employer. If A is paid 150 percent of the sum paid to B, how much is B paid per week?
Choose the correct choice:
A) s.130	B) s.140	C) s.150	D) s.224	E) s.280

Solution: Let the amount paid to A per week = x   and the amount paid to B per week = y   Then x + y = 560   But x = 150% of y = 150y/100 = 15y/10   ∴15y/10 + y = 560   ⇒ y[15/10 + 1] = 560   ⇒ 25y/10 = 560   ⇒ 25y = 5600   ⇒ y = 5600/25 =Rs.224   s.224)
Answer: D
A bag contains 20 red and 30 white balls. One ball is drawn at random. What is the probability that the ball drawn is red?	Choices:
A) 11/5
B) 2/5
C) 3/5
D) 4/5
E) 1/2

Solution: Total number of balls = 20+30= 
20+30 = 50
50   number of red balls= 20   Probability = 20/50 = 2/5   Answer is 2/5
Answer: B
A shopkeeper loses 15%,if an article is sold for Rs. 102. What should be the selling price of the article to gain 20%?  Choose the correct choice from the following.
A) 128  B) 144  C) 176  D) 186  E) 111

Solution: Explanation:   Given that SP = Rs. 102 and loss = 15%   CP = [100(SP)]/(100 - l%) = (100 * 102)/85 = 20 * 6 = Rs. 120.   To get 20% profit, New SP = [(100 + p%)CP]/100 = (120 * 120)/100 = Rs. 144   Answer:144
Answer: B
Total 60 cows 20 cow gives each 2 liter milk 20 cow gives each 3/4 liter milk 20 cow gives each 1/4 liter milk this is split into 3 son per each 20 cows & 20 liter milk how? Options:
A) 20  B) 10  C) 15  D) 16  E) 18

Solution: 20 cow 2 liter each =40 liter   20cow 3/4 liter each= 3/4= 
3/4 = 3/4 = around 0.75
0.75*20= 
0.75*20 = 15
15   20 cow 1/4 liter each= 1/4= 
1/4 = 1/4 = around 0.25
0.25*20= 
0.25*20 = 5
5   add  40+15+5= 
 40+15+5 = 60
60   milk split into 3 son each 20 liter then 60/3= 
60/3 = 20
20   20NSWER:20
Answer: A
Two trains of length 120 m and 210 m are 80 m apart. They start moving towards each other on parallel tracks, at speeds 69 kmph and 82 kmph. After how much time will the trains meet?	Choose one: A) 15/10 B) 19/10 C) 20/19 D) 16/10 E) 27/10

Solution: They are moving in opposite directions, relative speed is equal to the sum of their speeds.   Relative speed = (69 + 82)*5/18 =41.9 mps.   The time required = d/s = 80/41.9 = 19/10 sec.   Answer:19/10
Answer: B
If the price of an article went up by 30%, then by what percent should it be brought down to bring it back to its original price?  Choose the most appropriate option
A) 2/3%
B) 2/8%
C) 2/1%
D) 1/3%
E) 23.07%

Solution: Let the price of the article be Rs. 100.   30% of 100 = 30.   New price = 100 + 30 = Rs. 130   Required percentage = (130 - 100)/130 * 100   = 30/130 * 100 = 23.07%.   Answer:23.07%
Answer: E
There are 57 people in a certain community who belong to the local golf club, tennis club or both clubs. If twice as many people belong to the tennis club as belong to the golf club, what could be the number of people who belong to both clubs?  Choices:
A) 1) 4 B) 2) 7 C) 3) 17 D) 4) 21 E) 5) 27

Solution: x -> Golf Club   2x -> Tennis Club   y -> both   x+2x-y = 51   3x - y =51   multiples of 3 greater than 51   60   63   66   69   72 - 21= 
72 - 21 = 51
51   IMO (4) 21)
Answer: D
The size of the wooden block is 5 x 10 x 20 cm .How many such blocks will be required to construct a solid wooden cube of minimum size?	Choose the correct option:
A) 6
B) 8
C) 12
D) 16
E) 20

Solution: Side of smallest cube = L.C.M of 5,10,20 = 20cm   Volume of the cube = (20x20x20)= 8000 cm3   Volume of the block= (5x10x20cm3 = 1000cm3   Number of blocks = (8000/1000)= 
(8000/1000) = 8
8 Answer: 8
Answer: B
If the charge of staying in a student youth hostel $18.00/day for the first week, and $13.00/day for each additional week, How much does it cost to stay for 23 days?	Select the correct option
A) $160
B) $289
C) $334
D) $274
E) $286

Solution: Total number of days of stay = 23   $334harge of staying in first week = 18*7= 
18*7 = 126
126 $   $334harge of staying for additional days=(23-7)*13 = 16*13= 
16*13 = 208
208 $   Total charge=126 +208= 
126 +208 = 334
334$   Answer $334
Answer: C
If 'Pink' is called 'Orange', 'Orange' is called 'Blue', 'Blue' is called 'Red', 'Red' is called 'Green', 'Green' is called 'Black' and 'Black' is called 'white', what would be the color of human blood ? Choose the correct choice
A) Green  B) BLUE  C) PINK  D) ORANCE  E) BLACK

Solution: Explanation:   Pink → Orange   Orange → Blue   Blue → Red   Red → Green   Green → Black   Black → White   The color of human blood is 'Red' but in coding language, 'Red' is called 'Green'. So, the color of human blood is 'Green'.   GreenNSWER: Green
Answer: A
A group of people participate in some curriculum, 35 of them practice Yoga, 20 study cooking, 15 study weaving, 7 of them study cooking only, 5 of them study both the cooking and yoga, 3 of them participate all curriculums. How many people study both cooking and weaving?
Choose the correct choice from the following answers:
A) 1	B) 2	C) 3	D) 4	E) 5

Solution: Both cooking and weaving = 20 - (7+5+3)= 
20 - (7+5+3) = 5
5   So, the correct answer is 5.
Answer: E
The markup on a necklace is 80 percent of the cost. The markup is what percent of the selling price?
(markup = selling price - cost) Choose the correct choice from the following options:  A) 8%  B) 10%  C) 44.44%  D) 55%  E) 66 2/3%

Solution: MP = 0.8 CP   SP = CP + 0.8 CP = 1.8 CP   hence MP = 0.8/1.8 SP = 4/9 SP. Hence MP is 44.44% of SP   Answer 44.44%
Answer: C
Shawn has $150 to buy a new guitar. he found a guitar strap for $20, a guitar amplifier
for $80, and some guitar picks for $8. How much does he have left to buy the guitar?
Options:
A) $52	B) $42	C) $32	D) $22	E) $12

Solution: we know that shawn had 150 dollars   then we have   $150all-$20strap-$80 amplifier-$8picks   we take   $52 dollars   correct answer $52
Answer: A
How many even number in the range between 10 to 120 inclusive are not divisible by 3
Choose the correct choice from the following options:  A) 15  B) 30  C) 31  D) 37  E) 46

Solution: We have to find the number of terms that are divisible by 2 but not by 6( as the question asks for the even numbers only which are not divisible by 3)   For 2,   10,12,14...120   using AP formula, we can say 120 = 10 + (n-1) *2   or n=56.   For 6,   12,18,...120   using AP formula, we can say 120 = 12 + (n-1) *6   or n=19.   Hence, only divisible by 2 but not 3 =56-19= 
56-19 = 37
37. hence, Answer 37
Answer: D
In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1:2:3. If there are Rs. 30 in all, how many 5 p coins are there? Choose one.
A) 165  B) 716  C) 150  D) 143  E) 145

Solution: Let the number of 25 p, 10 p and 5 p coins be x, 2x and 3x respectively.   Then, sum of their values = [25x/100 + (10 * 2x)/100 + (5 * 3x)/100] = Rs. 60x/100   60x/100 = 30 => x = 50.   Hence, the number of 5 p coins = 3 * 50= 
3 * 50 = 150
150.   Answer:150
Answer: C
A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
Select:  A) 250  B) 256  C) 259  D) 255  E) 251

Solution: CP1 = 100 SP1 = 90   CP2 = 80 SP2 = 80 * (140/100)= 
80 * (140/100) = 112
112   22 ----- 100   55 ----- ?=> Rs.250   250nswer: 250
Answer: A
How many positive number less than 1000 have sum of there digit 17? Choices: A) 43 B) 53 C) 63 D) 75 E) 76

Solution: digits between 1-100 sum 17 =only 2 (89,98)   digits between 101-200 sum 17 =3 (188,179,197)   digits between 201-300 sum 17 = 4 (296,287,278,269)   and so on.....   digits between 301-400 sum 17 =5   digits between 401-500 sum 17 =6   digits between 501-600 sum 17 =7   digits between 601-700 sum 17 =8   digits between 701-800 sum 17 =9   digits between 801-900 sum 17 =10   but in   digits between 901-999 sum 17 =9 (980,971,962,953,944,935,926,917,908)   so total number is   2+3+4+5+6+7+8+9+10+9= 
2+3+4+5+6+7+8+9+10+9 = 63
63   ANSWER:63
Answer: C
Solve 7x – 2(x+5) = 4x + 11 Answers:
A) 16  B) 25  C) 21  D) 15  E) 12

Solution: Sol.   7x – 2(x+5) = 4x + 11   7x - 2x -10 = 4x + 11   => 7x – 2x - 4x = 11 + 10   => x = 21   Answer 21
Answer: C
A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age?
Choose the correct choice from the following.
A) 298 B) 268 C) 800 D) 266 E) 226

Solution: 25 = E/(1000 - E) * 100   1000 - E = 4E   1000 = 5E => E = 200   1000 - 200= 
1000 - 200 = 800
800   Answer:800
Answer: C
If |5x-5| = 100, then find the sum of the values of x?
Choose the most appropriate option.
A) 1  B) -2  C) 2  D) -3  E) 4

Solution: |5x-5| = 100   5x-5 = 100 or 5x-5 = -100   5x = 105 or 5x = -95   x = 21 or x = -19   sum = 21-19= 
21-19 = 2
2   Answer is 2
Answer: C