MU-NLPC/Calc-aqua_rat huggingface dataset:
A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.80 less, he could have gained 25%. What is the cost price?	Choose the correct choice from the following answers:
A) 372
B) 375
C) 278
D) 400
E) 288

Solution: CP1 = 100 SP1 = 120   CP2 = 80 SP2 = 80 * (125/100)= 
80 * (125/100) = 100
100   20 ----- 100   80 ----- ?=> 375   Answer:400
Answer: D
Which of the following is not a prime number ? Choose the correct choice from the following choices:
A) 743 B) 740 C) 751 D) 757 E) 853

Solution: Clearly, 740 is not a prime number.   Answer : 740
Answer: B
In the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. In the sport formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. If a large bottle of the sport formulation contains 7 ounces of corn syrup, how many ounces of water does it contain?
Choose the correct choice from the following answers
A) 45
B) 50
C) 55
D) 60
E) 105

Solution: F:C:W   1:12:30   Sport version:   F:C   3:12   F:W   1:60   OR 3:180   So C:F:W = 12:3:180   C/W = 12/180 = 3 ounces/x ounces   x = 7*180/12= 
7*180/12 = 105
105 ounces of water   105
Answer: E
a1, a5, a13 (terms of AP) are in GP and a6 + a15 =63. Find a23 Choose the correct choice:
A) 181/3
B) 182/3
C) 183/3
D) 184/3
E) 182/5

Solution: a1   a5= a1+ 4d   a13= a1+12d   Now a5/a1 = a13/a5---->>a1=4d........(1)   Given a6 + a15=63   ----> a1+5d + a1+14d=63   ---->2a1+ 19d = 63   ---->8d+ 19d=63 from (1)   ----> d=63/27= 7/3   so a=4d=4*7/3=28/3 from (1)   a23= a1+ 22d =28/3 +22*7/3   =182/3   ANSWER:182/3
Answer: B
A, B, C together started a business. A invested Rs.2000 for 5 months B invested Rs.8000 for 6 months and C Rs.14000 for 3 months. If they get a total profit of Rs.2500. Find the share of A?	Select the correct option:
A) 2999  B) 3000  C) 2777  D) 2999  E) 250

Solution: 1*5:4*6:7*3   5: 24: 21   5/50 * 2500= 
5/50 * 2500 = 250
250   Answer:250
Answer: E
(800/64) x (1296/36)=?	Choose the most appropriate option:
A) 420
B) 460
C) 500
D) 540
E) None of them

Solution: =800/64 x 1296/36   =12.5 x 36   =450   Answer is None of them
Answer: E
In shop contains 500 articles each of a cost of $10. He sold them at a price of $13. If the shop keeper has a order of 200 articles, how much profit he will get?
Choose the correct choice from the following options:
A) A)200
B) B)2000
C) C)1500
D) D)600
E) E)700

Solution: Total money after selling articles = 200*13= 
200*13 = 2_600
2600   cost price= 200*10= 
200*10 = 2_000
2000   profit= 600   correct option is 600
Answer: D
The speed of a boat in still water in 18 km/hr and the rate of current is 6 km/hr. The distance travelled downstream in 14 minutes is:  Choose the correct choice from the following options
A) 11.4 km
B) 10.9 km
C) 10.4 km
D) 6.06 km
E) 12.56 km

Solution: Explanation:   Speed downstream = (18 + 6)= 
(18 + 6) = 24
24 kmph   Time= 14 minutes = 14/60 hour = 7/30 hour   6.06 kmistance travelled = Time × speed = (7/30)×26 = 6.06 km   Answer: Option 6.06 km
Answer: D
If x + y + z + w = 15, then at least k of the numbers x, y, z, w must be positive, where k is : Choices
A) 0	B) 1	C) 2	D) 3	E) 4

Solution: straight forward question if you realize that 4 negative numbers when added can NEVER give you a positive sum. This directly eliminates A.   As we are given that x+y+z+w=15 and we need to find what is the least number of variables out of the 4 given (x,y,z,w) that need to be positive to adhere to x+y+z+w=15 ,   Consider any large value for x = 45 and -15,-10 and -5 for y,z,w respectively to give you x+y+z+w=15.   Thus k =1 for 'k' value to be the least.   ANSWER:1
Answer: B
A rectangular table seats 5 people on each of two sides, with every person directly facing another person across the table. If 10 people choose their seats at random, what is probability that person P directly faces person Q? Select the correct option.
A) 1/10
B) 1/9
C) 1/8
D) 1/7
E) 1/6

Solution: Person P will be seated somewhere at the table.   Each of the other 9 people has an equal chance of sitting opposite person P.   The probability that person Q sits across is 1/9.   The answer is 1/9.
Answer: B
In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m?	Choose the correct answer.
A) 187.5 m
B) 127.5 m
C) 277.5 m
D) 727.5 m
E) 777.5 m

Solution: Explanation:   When A runs 1000 m, B runs 900 m and when B runs 800 m, C runs 700 m.   When B runs 900 m, distance that C runs = (900 * 700)/800 = 6300/8= 
6300/8 = 1_575/2 = around 787.5
787.5 m.   In a race of 1000 m, A beats C by   (1000 - 787.5)= 
  (1000 - 787.5) = 212.5
212.5 m to C.   In a race of 600 m, the number of meters by which A beats C= (600 * 212.5)/1000= 
(600 * 212.5)/1000 = 127.5
127.5 m.   Answer: 127.5 m
Answer: B
In an objective test, a correct answer scores 4 marks, and a wrong answer scores 2 marks. A student scores 480 marks from 150 questions. how many answers are correct?	Options
A) 90  B) 80  C) 70  D) 60  E) 50

Solution: if all ans. right the marks=4*150= 
4*150 = 600
600   but score=480   wrong attempt marks=600-480= 
600-480 = 120
120   wrong ans.=120/2= 
120/2 = 60
60   right ans.=150-60= 
150-60 = 90
90.   90NSWER:90
Answer: A
By using the numbers 1, 2, 5, 7 and 9 only once, how many five digit numbers can be made that are divisible by 25?
Select the correct option
A) 11
B) 12
C) 5
D) 10
E) 9

Solution: A number to be divisible by 25 must end with 00, 25, 50, or 75.   So, there are the following cases possible:   179-25 --> the first three digits can be arranged in 3=6 ways.   129-75 --> the first three digits can be arranged in 3=6 ways.   Total = 6 + 6= 
6 + 6 = 12
12.   Answer: 12.
Answer: B
When positive integer n is divided by 5, the remainder is 1. When n is divided by 7, the remainder is 3. What is the smallest positive integer k such that k + n is a multiple of 75.
Choose the correct choice from the following options.
A) 3	B) 4	C) 12	D) 32	E) 35

Solution: First, let us say I have a number n which is divisible by 5 and by 7. We all agree that it will be divisible by 35, the LCM of 5 and 7.   Now, if I have a number n which when divided by 5 gives a remainder 1 and when divided by 7 gives a remainder 1, we can say the number is of the form   n = 5a + 1 e.g. 5 + 1, 10 + 1, 15 + 1, 20 + 1, 25 + 1, 30 + 1, 35 + 1 etc   and   n = 7b + 1 e.g. 7 + 1, 14 + 1, 21 + 1, 28 + 1, 35 + 1 etc   So when it is divided by the LCM, 35, it will give 1 as remainder (as is apparent above)   Next, if I have a number n which when divided by 5 gives a remainder 1 and when divided by 7 gives a remainder 3, we can say the number is of the form   n = 5a + 1   and   n = 7b + 3   Now, the only thing you should try to understand here is that when n is divided by 5 and if I say the remainder is 1, it is the same as saying the remainder is -4. e.g. When 6 is divided by 5, remainder is 1 because it is 1 more than a multiple of 5. I can also say it is 4 less than the next multiple of 5, can't I? 6 is one more than 5, but 4 less than 10.   Therefore, we can say n = 5x - 4 and n = 7y - 4 (A remainder of 3 when divided by 7 is the same as getting a remainder of -4)   Now this question is exactly like the question above. So when you divide n by 75, remainder will be -4 i.e. n will be 4 less than a multiple of 75. So you must add 35 to n to make it a multiple of75   35
Answer: E
What percent of 120 are 90?
Choose the correct choice:
A) 78%
B) 85%
C) 75%
D) 72%
E) 23%

Solution: (?% /100) * 120 = 90   ? = 75%   Answer:75%
Answer: C
If p=125×243×16/405, how many digits are in p?  Select the correct option:
A) 1 B) 2 C) 3 D) 4 E) 5

Solution: p = 125 * 243 * 16 / 405   p= 5^3 * 3 * 9^2 * 4^2 / (5 * 9^2)   p= 5^2 * 3 * 4^2   p = 20^2 * 3 = 1200   answer 4
Answer: D
The amount of water (in ml) that should be added to reduce 9 ml. Lotion, containing 50% alcohol, to a lotion containing 30% alcohol, is? Select
A) 8 ml B) 6 ml C) 3 ml D) 4 ml E) 2 ml

Solution: 4.5 4.5   30% 70%   30% ----- 4.5   70% ------? => 10.5 - 4.5= 
10.5 - 4.5 = 6
6 ml   Answer: 6 ml
Answer: B
A student took five papers in an examination, where the full marks were the same for each paper. His marks in these papers were in the proportion of 6 : 7 : 8 : 9 : 10. In all papers together, the candidate obtained 60% of the total marks. Then the number of papers in which he got more than or equal to 60% marks is
Select.
A) 4
B) 3
C) 2
D) 1
E) 5

Solution: Here we can assume that one subject is of 100 marks so total there are 5 subjects => 100*5= 
100*5 = 500
500.   Now according to the question he secured 60 % of those which is 60%of 500= 300 marks in total.   The ratio between the marks is given as 6 : 7 : 8 : 9 : 10 , so now we can distribute 300 marks according to the ratio.   Total ratio = 40   For 6 : (300/40)*6= 
(300/40)*6 = 45
45   Similarly , we will get for others as 52.5 , 60 , 62.5 , 75.   Hence , there are 3 subject where he secured more that 60 %.   The answer is 3.   3
Answer: B
9, 16, 19, 25, 36,49  Choices:
A) 9
B) 16
C) 19
D) 25
E) 36

Solution: Each of the numbers except 19, is perfect square.   Answer: Option 19
Answer: C
Prizes totaling $ 55,000 were awarded unequally between 3 contestants. Which of the following choices could be the highest prize?  Select:
A) (a) $5,000
B) (b) $10,000
C) (c) $15,000
D) (d) $20,000
E) (e) $65,000

Solution: The highest prize cannot possibly be less than 1/3rd of 55,000 (because in this case the sum of 3 prizes would be less than 55,000) and cannot be more than 55,000.   Answer: (d) $20,000.
Answer: D
Let f(x) = x4 – 8x3 + 16x2 – 19 and g(x) = x - 5. Find f(x)/g(x)	Choose the correct choice from the following
A) 4  B) 5  C) 6  D) 7  E) 8

Solution: Solution:   f(x) = x4 – 8x3 + 16x2 – 19   g(x) = x – 5   f(x)/g(x) = (x4 – 8x3 + 16x2 – 19)/(x - 5)   We first need to rearrange all the terms of the dividend according to descending powers of x. The dividend then becomes x4 – 8x3 + 16x2 – 19, with 1 understood as the coefficient of the first term. No x term is there in the polynomial, but we take a zero as a place holder in the x position, so the dividend is written as x4 – 8x3 + 16x2 + 0x – 19.   We solved the division in both the ways;   (x4 – 8x3 + 16x2 + 0x – 19) ÷ (x - 5) by using synthetic division   Quotient = x3 - 3x2 + x + 5   Remainder = 6   Answer 6
Answer: C
A circular wire of radius 42cm is cut and bent into the form of a rectangle whose sides are in the ratio of 6:5. The smaller side of the rectangle is: Choices: A) 30cm B) 60cm C) 72cm D) 132cm. E) 142cm.

Solution: Length of wire= circumference of circle of radius 42cm= (2* 22/7* 42)= 
(2* 22/7* 42) = 264
264cm.   Therefore, perimeter of rectangle= 264 cm.   Let, length= 6x cm & breadth= 5x cm.   Therefore, 2 (6x+5x)= 264 or x=12.   Therefore, smaller side= 60 cm   ANSWER:60cm
Answer: B
In how many different ways can 5 girls and 5 boys form a circle such that the boys and the girls alternate?	Choose the correct answer:
A) 2880
B) 1400
C) 1200
D) 3212
E) None of these

Solution: Explanation :   In a circle, 5 boys can be arranged in 4! ways   Given that the boys and the girls alternate.   Hence there are 5 places for girls which can be arranged in 5! ways   Total number of ways = 4! x 5! = 24 x 120 = 2880. 2880nswer : Option 2880
Answer: A
Less than half of a committee that is to be formed out of certain group, are to be men. If there are 100 possible ways of forming the committee, then the number of men in the committee can be,  Choose the correct choice from the following options.
A) 2	B) 3	C) 4	D) 5	E) cannot be determined

Solution: 1. Let there be m men and w women out of which the committee is formed.   2. mCn * wCr = 100, where n is the number of men chosen and r is the number of women chosen   3. The possible products for LHS of (2) are, 100 * 1, 50 * 2, 25 * 4, 20 * 5, 10 * 10   4. Since the number of women is greater than the number of men, the first three products in (3) can be rejected as they would not satisfy this condition.   5. In the case of the fourth product, 20 * 5 may be given by 6C3 * 5C1. Though this may satisfy the condition with 3 women and 1 man, 1 man is not in the choices given.   6. The last product 10 * 10 may be given by 5C2 * 5C3 with 2 men and 3 women. This satisfies the condition and also 2 men is one of the choices given.   Therefore the answer is choice 2.
Answer: A
A housewife saved Rs. 2.50 in buying an item on sale. If she spent Rs. 25 for the item, approximately how much percent she saved in the transaction?
Select the correct option
A) 8%  B) 9%  C) 10%  D) 11%  E) None

Solution: Solution   Actual price	= Rs. (25 + 2.50)   = Rs. 27.50   Therefore, saving	= (2.50 / 27.50 ×100)%   = 100 / 11%   = 9×1/11%   = 9%.   Answer 9%
Answer: B
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 5%? Choose the correct answer
A) 20%  B) 29%  C) 10%  D) 80%  E) 42.5%

Solution: SP2 = 2/3 SP1   CP = 100   SP2 = 95   2/3 SP1 = 95   SP1 = 142.5   100 --- 42.5 => 42.5%   Answer: 42.5%
Answer: E
If n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 840, what is the least possible value of n?  Choose the correct choice from the following answers:  A) 5  B) 11  C) 12  D) 13  E) 14

Solution: 840 = 2 * 2 * 2 * 3 * 5   so the least value forNcan be 5.   5
Answer: A
a clock hangs on the wall of a railway station,71ft 9in long and 10ft 4in high.those are the dimension of the wall,not the clock!while waiting for a train we noticed that the hands of the clock were pointing in opposite directions,and were parallel to one of the diagonals of the wall,what was the exact time ?	Choices.
A) 7:15 B) 7:5 C) 7:25 D) 7:45 E) 7:55

Solution: it can have four possiblities   time could be   7:5   1:35   11:25   5:55   ANSWER:7:5
Answer: B
A rectangular plot measuring 90 meters by 50 meters is to be enclosed by wire fencing. If the poles of the fence are kept 5 meters apart. How many poles will be needed?	Choose the most appropriate option:
A) 46m  B) 66m  C) 26m  D) 56m  E) 25m

Solution: Perimeter of the plot = 2(90+50) = 280m   no of poles =280/5= 
280/5 = 56
56m   Answer: 56m
Answer: D
The sector of a circle has radius of 21 cm and central angle 90o. Find its perimeter?  Choose the correct choice:
A) 91.5
B) 75
C) 93
D) 94
E) 95

Solution: Perimeter of the sector = length of the arc + 2(radius)   = (90/360 * 2 * 22/7 * 21) + 2(21)   = 75 cm   Answer: Option 75
Answer: B
The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles.
Choices:	A) 4192 sq m	B) 4304 sq m	C) 4312 sq m	D) 4360 sq m	E) None of these

Solution: Let the radii of the smaller and the larger circles be s m and l m respectively.   2∏s = 264 and 2∏l = 352   s = 264/2∏ and l = 352/2∏   Difference between the areas = ∏l2 - ∏s2   = ∏{1762/∏2 - 1322/∏2}   = 1762/∏ - 1322/∏   = (176 - 132)(176 + 132)/∏   = (44)(308)/(22/7) = (2)(308)(7) = 4312 sq m   ANSWER:4312 sq m
Answer: C
Tom bought 2 shares and sold them for $55 each. If he had a profit of 25% on the sale of one of the shares but a loss of 45% on the sale of the other share, then on the sale of both shares Tom had  Choices.
A) a profit of $44
B) a loss of $44
C) a profit of $34
D) a loss of $34
E) neither a profit nor a loss

Solution: total CP = 5500/125 + 5500/55 = 44 + 100= 
44 + 100 = 144
144   SP=55*2= 
55*2 = 110
110   loss= Rs 34/-   Answer: a loss of $34
Answer: D
Mary and Mike enter into a partnership by investing $600 and $400 respectively. At the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business. If Mary received $1000 more than Mike did, what was the profit made by their business in that year?	Choose the correct choice from the following choices
A) $8500
B) $9500
C) $7000
D) $7500
E) $6500

Solution: Explanatory Answer   Let the profit made during the year be $3x   Therefore, $x would have been shared equally and the remaining $2x would have been shared in the ratio 6 : 4.   i.e., 60% of 2x would go to Mary and 40% of 2x would go to Mike.   Hence, Mary would get (60 - 40)% of 2x more than Mike   Or20% of 2x = $1000   i.e.,(20/100)*2x = 1000   or 2x = 5000.   Hence, the profit made by the company during the year $3x = $7500.   Answer : $7500
Answer: D
A and B together can do a work In 8 days. A alone can do it in 12 days. What time B will take to do the work alone? Choose one
A) 6 days B) 8 days C) 12 days D) 24 days E) 25 days

Solution: Explanation:   A and B 1day's work = 1/8   A alone can do 1day's work = 1/12   what time B will take to do the work alone?   B = (A+B) - A = (1/8) - (1/12) = 24 24 daysays   Answer: Option 24 days
Answer: D
The average age of a man and his son is 28 years. The ratio of their ages is 3 :1 respectively. What is the man's age ? Choose the correct option.
A) 30 years B) 38 years C) 44 years D) 42 years E) None of these

Solution: Total sum of man’s age & his son’s age =28 × 2 = 56 Now, the Ratio of their ages is 3 : 1.Therefore, Man’s age = (3/4) × 56 = 42   So, the correct answer is option D.   Answer: 42 years
Answer: D
In an election between two candidates, the winner has a margin of 20% of the votes polled. If 3000 people change their mind and vote for the loser, the loser would have won by a margin of 20% of the votes polled. Find the total number of votes polled in the election? Choose the correct answer.
A) 15000 B) 20000 C) 30000 D) 60000 E) 45000

Solution: Winner - Looser   60% - 40%   If 3000 people change their mind and vote for the loser:   Winner - Looser   40% - 60%   Thus 3,000 people compose 20% of all voters, which means that the total number of votes is 15,000.   15000nswer: 15000
Answer: A
The price of an item is discounted 10 percent on day 1 of a sale. On day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 15 percent. The price of the item on day 3 is what percentage of the sale price on day 1?
Choose the correct choice from the following answers:
A) 28%	B) 40%	C) 64.8%	D) 76.5%	E) 72%

Solution: original price = 100   day 1 discount = 10%,price = 100-10= 
100-10 = 90
90   day 2 discount= 10%,price = 90-9= 
90-9 = 81
81   day 3 discount= 15%,price = 81-12.15= 
81-12.15 = 68.85
68.85   which is 68.85/90 *100 of the sale price on day 1= ~76.5%   Answer 76.5%
Answer: D
A shopkeeper buys mangoes at the rate of 7 a rupee and sells them at 5 a rupee. Find his net profit or loss percent?	Choose the correct choice:  A) 40 %  B) 90 %  C) 33 %  D) 35 %  E) 30 %

Solution: The total number of mangoes bought by the shopkeeper be 35.   If he buys 7 a rupee, his CP = 5   He selling at 5 a rupee, his SP = 7   Profit = SP - CP = 7 - 5= 
7 - 5 = 2
2   Profit Percent= 2/5 * 100= 
2/5 * 100 = 40
40 %   40 %nswer:40 %
Answer: A
If x is odd and y is odd, then xy,
Answers.
A) Odd  B) Odd whenever x-y is even  C) Even whenever x+y is odd  D) Even  E) It cannot be determined

Solution: x is odd and y is odd, then xy is   Let's take x=7 and y=3.   x*y=7*3= 
7*3 = 21
21.   x*y=odd.   Option: Odd
Answer: A
A famous film director thought of an interesting story and he made a film in Hindi, Tamil and Telugu. He release the movie at the same time in all the three languages. The movie had Dhanush, Kamalhasan, Sruthi Hasan and Akdhsay Bachchan in lead role. The collections made was interesting to study. Collections in Hindi to Tamil and Tamil to Telugu was in the ratio 5: 4. If the collection made in language Tamil alone was Rs. 19753080, what was the total collection made. Choose the correct option.
A) Rs.60246894	B) Rs.26024689	C) Rs.22602468	D) Rs.22602469	E) none of these.

Solution: making them in equal proportion of Hindi:Tamil:Telugu=25:20:16   and given 20x=19753080 so, x=987654   so, total collection is 61*x=60246894   Rs.60246894NSWER:Rs.60246894
Answer: A
A man invests some money partly in 15% stock at 105 and partly in 8% stock at 40.To obtain equal dividends from both,he must invest the money in the ratio :	Choose the correct choice from the following:  A) 3 : 4  B) 3 : 5  C) 7 : 5  D) 16 : 15  E) None

Solution: Solution   For an income of Rs. 1 in 15% stock at 105, investment = Rs. (105/15)= Rs. 7.   For an income of Rs. 1 in 8% stock at 40, investment = Rs.(40/8) = Rs. 5.   ∴ Ratio of investments = 7:5 =7:5   Answer 7 : 5
Answer: C
John is three times as old as Sam. If John will be twice as old as Sam in six years, how old was Sam three years ago?
Choose the correct choice from the following answers
A) 2	B) 3	C) 6	D) 8	E) 16

Solution: j= 3s   after 6 years   j +6 = 2(s+6)   j= 2s+6   2s +6 = 3s   s= 6   three years ago   s= 6-3= 
6-3 = 3
3   3 is the answer
Answer: B
A distributor sells a product through an on-line store, which take a commission of 20% of the price set by the distributor. The distributor obtains the product from a producer at the price of $15 per item. What is the price that the buyer observers on-line if the distributor wants to maintain a 30% profit on the cost of the item?	Choose one: A) 18 B) 21.6 C) 22 D) 25.7 E) 27

Solution: Producer price = $15;   The distributor wants to maintain a 20% profit on the cost of the item, thus he must get $ 15*1.2= 
 15*1.2 = 18
$18 after the store takes a commission of 30% of the final price --> (final price)*0.7= $18 --> (final price) = $25.7.   Answer: 25.7.
Answer: D
169, 289, 361, 529, 841, ?, F ind the missing number(?).  Pick one.
A) 930  B) 789  C) 961  D) 920  E) 788

Solution: The series consists of squares of consecutive PRIME numbers.   Answer : 961.
Answer: C
The price of an item is discounted 2 percent on day 1 of a sale. On day 2, the item is discounted another 12 percent, and on day 3, it is discounted an additional 25 percent. The price of the item on day 3 is what percentage of the sale price on day 1?  Choices:	A) 66%	B) 67.5%	C) 69%	D) 70%	E) 72%

Solution: Let initial price be 1000   Price in day 1 after 2% discount = 980   Price in day 2 after 12% discount = 862.4   Price in day 3 after 25% discount = 646.8   So, Price in day 3 as percentage of the sale price on day 1 will be = 646.8/980*100= 
646.8/980*100 = 66
> 66%   66%nswer will definitely be (66%)
Answer: A
How many 6 digit telephone numbers can be formed if each number starts with 35 and no digit appears more than once?
Pick one.
A) 720	B) 360	C) 1420	D) 1680	E) None of these

Solution: Explanation :   The first two places can only be filled by 3 and 5 respectively and there is only 1 way   of doing this   Given that no digit appears more than once. Hence we have 8 digits remaining(0,1,2,4,6,7,8,9)   So, the next 4 places can be filled with the remaining 8 digits in 8P4 ways   Total number of ways = 8P4 = 8 x 7 x 6 x 5 = 1680. Answer : Option 1680
Answer: D
A train is 300 meter long is running at a speed of 35 km/hour. In what time will it pass a bridge of 115 meter length?	Choose the correct choice from the following choices:
A) 29  B) 23  C) 47.119  D) 44.586  E) 42.686

Solution: Speed = 35 Km/hr = 35*(5/18) m/sec = 175/18 m/sec   Total distance = 300+115= 
300+115 = 415
415 meter   Time= Distance/speed   = 415 * (18/175) = 42.686 seconds.   Answer: 42.686
Answer: E
Two employees M and N are paid a total of $572 per week by their employer. If M is paid 120 percent of the salary paid to N, how much is N paid per week?  Pick one:
A) $220
B) $240
C) $260
D) $300
E) $320

Solution: 1.2N + N = 572   2.2N = 572   N = 260   The answer is $260.
Answer: C
If A:B = 1/2: 1/3 B:C = 1/2:1/3 then A:B:C? Choose one.
A) 9:6:6	B) 9:7:4	C) 9:6:6	D) 9:6:4	E) 9:3:4

Solution: A:B = 1/2:1/3 = 3:2   B:C = 1/2:1/3 = 3:2   --------------------   A:B:C = 9:6:4   Answer: 9:6:4
Answer: D