MU-NLPC/Calc-aqua_rat huggingface dataset:
A dishonest dealer professes to sell goods at the cost price but uses a weight of 900 grams per kg, what is his percent?
Answers:
A) 11%	B) 25%	C) 29%	D) 55%	E) 45%

Solution: 900 --- 100   100 --- ? => 11.11%   11%nswer: 11%
Answer: A
A bag holds 2 blue marbles and 3 green marbles. If you removed two randomly selected marbles from the bag, without replacement, what is the probability that both would be blue? Choose the correct answer:
A) 1/12  B) 1/10  C) 3/10  D) 2/5  E) 1/2

Solution: Given: 2B and 3 G marbles   Required: Probability that 2 marbles removed without replacement are both blue   Initially we have to pick one red from a total of 2 blue and 3 green marbles   After one blue has been picked, we need to pick 1 blue from a total of 1 blue and 3 green marbles.   P(1/10oth blue) = (2/5)*(1/4) = 1/10   Option 1/10
Answer: B
If n is an integer greater than 6, which of the following must be divisible by 2?  Select the correct option.
A) 1. n (n+1) (n-4)
B) 2. n (n+2) (n-1)
C) 3. n (n+3) (n-5)
D) 4. n (n+4) (n-2)
E) 5. n (n+5) (n-6)

Solution: We need to find out the number which is divisible by three,   In every 3 consecutive integers, there must contain 1 multiple of 3.   So n+4 and n+1 are same if we need to find out the 3's multiple. replace all the numbers which are more than or equal to three   1. n (n+1) (n-4) = > n(n+1)(n-1) = > (n-1)n(n+1)   2. n (n+2) (n-1) = > n(n+2)(n-1) = > (n-1)n(n+1)   3. n (n+3) (n-5) = > n(n+0)(n-2) = > (n-2)n(n)   4. n (n+4) (n-2) = > n(n+1)(n-2) = > (n-2)n(n+1)   5. n (n+5) (n-6) = > n(n+2)(n-0) = > (n)n(n+2)   from the above onlyoption Ais product of consecutive three numbers.   2. n (n+2) (n-1)
Answer: B
The original price of a car was $25,000. Because the car owner thought he could get more money for the car, he set a new price by increasing the original price of the car by 5%. After a week, the car had not sold, so the owner discounted the new price by 5%, and the car was finally sold. What price was the car sold for?	Choose the correct choice from the following answers.
A) $24,937.50
B) $24,948.50
C) $24,954.50
D) $24,958.50
E) $24,963.50

Solution: The car was sold for (0.95)(1.05)($25000)=$24,937.50   The answer is $24,937.50.
Answer: A
The average of first seven prime numbers:	Choose the correct choice from the following options
A) 5.6
B) 11.2
C) 12.9
D) 8.2
E) 7.4

Solution: Explanation:   The first seven prime numbers is 2, 3, 5, 7, 11, 13, 17   Average = 58/7 = 8.2   Answer: Option 8.2
Answer: D
A certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $130,000 and variables costs averaging $8 per item. If the manufacturer’s selling price per item is $12, how many items the manufacturer produce and sell to earn an annual profit of $140,000? Choose the correct choice from the following options:
A) 2,858
B) 8,667
C) 21,429
D) 35,000
E) 67,500

Solution: Let the items manufactured or sold bex   130000+8x = 12x-140000   4x = 270000   x = 67500   Ans:67,500
Answer: E
Kanul spent $3000 in buying raw materials, $1000 in buying machinery and 30% of the total amount he had as cash with him. What was the total amount?  Pick:
A) $5825.16
B) $5725.26
C) $5714.28
D) $5912.52
E) $5614.46

Solution: Let the total amount be x   then, (100-30)% of x = 3000+1000   70% of x = 4000   70x/100 = 4000   x = $40000/7   x = $5714.28   Answer is $5714.28
Answer: C
The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)?
Pick one
A) 23.77 cm	B) 23.47 cm	C) 83.57 cm	D) 23.57 cm	E) 23.56 cm

Solution: Let the side of the square be a cm.   Parameter of the rectangle = 2(16 + 14) = 60 cm Parameter of the square = 60 cm   i.e. 4a = 60   A = 15   23.57 cmiameter of the semicircle = 15 cm   Circimference of the semicircle   = 1/2(∏)(15)   = 1/2(22/7)(15) = 330/14   = 23.57 cm to two decimal places   Answer:23.57 cm
Answer: D
If d is an even integer and d/18 is an odd integer, which of the following is NOT an even integer?  Choose the correct choice from the following:
A) (d^2)/54
B) (d^2)/20
C) (d^2)/9
D) (d^2)/6
E) (d^2)/2

Solution: since d is an even integer and d/18 is an odd integer. thus maximum power of 2 in a is one. why ?? because if the power of 2 in the expression has been 2 or greater, then the d/18 must have been an even integer. (18=2*3^2. as 18 contain only one 2 in the expression)   now, any expression in which we have 4 at the denominator will be odd. out of the given options only 12 is a multiple of 4. hence answer should be (d^2)/20
Answer: B
The largest 4 digit number exactly divisible by 88 is: Select:
A) 3377  B) 2255  C) 7732  D) 9944  E) 9932

Solution: D   9944   Divide largest four digit number 9999 by 88. You get 113.625.   Obviously 113 would be exactly divisible so we want to know what that number is.   We get this by multiplying 113 with 88 = 9944
Answer: D
A chemist mixes one liter of pure water with x liters of a 60% salt solution, and the resulting mixture is a 10% salt solution. What is the value of x?  Choose the correct choice from the following answers:
A) 1/5  B) 1/3  C) 1/2  D) 1  E) 3

Solution: Concentration of salt in pure solution = 0   Concentration of salt in salt solution = 60%   Concentration of salt in the mixed solution = 10%   The pure solution and the salt solution is mixed in the ratio of --> (60 - 10)/(10 - 0) = 5/1   1/x --  (60 - 10)/(10 - 0)= 
--  (60 - 10)/(10 - 0) = 5
5/1   1/x= 5/1   x = 1/5   1/5nswer: 1/5
Answer: A
Which of the following data sets has the smallest standard deviation?  Choices.
A) {3, 3, 3, 3, 3} B) {2, 3, 3, 3, 4} C) {2, 2, 2, 4, 5} D) {0, 2, 3, 4, 6} E) {-1, 1, 3, 5, 7}

Solution: since we are asked to compare 'standard deviation', we should look out for similarity between all the sets..   The SIMILARITY is - the SUM of all sets is equal =15..   and hence average = 15/5 = 3...   Now we have 5 different sets which have AVG as 3, so we will look for the spread of the other elements of set around the AVERAGE..   clearly E has a range of 7-(-1) or 8, and has the highest standard deviation..   Next is D, which has a range of 6-0 or 6..   and (A) {3, 3, 3, 3, 3} has smallest standard of deviation.   ans {3, 3, 3, 3, 3}
Answer: A
The digit in the unit’s place of a number is equal to the digit in the ten’s place of half of that number and the digit in the ten’s place of that number is less than the digit in unit’s place of half of the number by 1. If the sum of the digits of number is 7, then what is the number	Choose the most appropriate option
A) 34	B) 49	C) 162	D) 52	E) 79

Solution: Let the ten’s digit be x and unit’s digit be y   Then, (10x+y)/2=10y+(x+1)   8x-19y=2   And x+y=7   X=5 and y=2   Then reqired number is 52   Option 52
Answer: D
A local bank that has 14 branches uses a two-digit code to represent each of its branches. The same integer can be used for both digits of a code, and a pair of two-digit numbers that are the reverse of each other (such as 17 and 71) are considered as two separate codes. What is the fewest number of different integers required for the 14 codes?  Pick.
A) 3	B) 4	C) 5	D) 14( ( 2 integers 4 codes)	E) 7

Solution: Pick any two integer.   Integers: 12   Code: 11, 12, 21, 22 = 4 Codes   Add one more integer: 3   13, 31, 33, 23, 32 = 5 Codes   Add one more integer: 4   44, 14, 41, 24, 42, 34, 43 = 7 Codes   Total = 16 Codes. Enough. Answer: 14( ( 2 integers 4 codes)   4 integers create 14 codes.
Answer: D
Marie's seafood restaurant gets a delivery of fresh seafood every day, 7 days per week, and her delivery company charges herddollars per delivery plusccents per item delivered. If lst week Sarah's seafood restaurant had an average ofxitems per day delivered, then which of the following is the total cost, in dollars, of last week's deliveries ? Choose one.
A) 7cdx/100	B) d + 7cx/100	C) 7d + 7xc/100	D) 7d + xc/100	E) 7cdx

Solution: Answer is C. Straightforward question.
Answer: C
A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is?
Choose the most appropriate option.
A) 700 kg  B) 500 kg  C) 600 kg  D) 800 kg  E) 900 kg

Solution: By the rule of alligation:   Profit of first part Profit of second part   So, ratio of 1st and 2nd parts = 4 : 6 = 2 : 3.   Quantity of 2nd kind = (3/5 x 1000)kg = 600 kg   Answer: 600 kg
Answer: C
A motorcyclist goes from Bombay to Pune, a distance of 256 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?	Choose the correct choice from the following.
A) 1:2	B) 1:5	C) 1:4	D) 1:1	E) 5:8

Solution: T = 256/32= 
256/32 = 8
8 h   T= 8 - 3= 
8 - 3 = 5
5   Time Ratio= 8:5   Speed Ratio = 5:8   Answer: 5:8
Answer: E
A clothing store originally bought 100 jackets at a total cost of j dollars. If each jacket was sold for 20 percent more than its original cost, what was the individual price, in terms of j, of each jacket sold? Choices:
A) j/83  B) 7j/500  C) 140j  D) j/100+40  E) 140j/100

Solution: lets take j=1000, as decided by you..   now 20% increase makes it 1200..   this is the price for 100 jackets, so selling price for each jacket=1200/100=$12..   =j/83   so ans is correct as j/83..
Answer: A
If R is an integer greater than 6, which of the following must be divisible by 3?
Choose the correct choice from the following answers.
A) R(R+1)(R-4)
B) N(N+2)(N-1)
C) N(N+3)(N-5)
D) N(N+4)(N-2)
E) N(N+5)(N-6)

Solution: Now take R = 3k , R = 3k+1 R = 3k+2..put in all the choices. If by putting all the values of R we get it is divisible by 3, then it is correct answer choice.   A is correct. It will hardy take 10 sec per choice as we have to consider only 3k+1 and 3k+2.
Answer: A
The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%? Choose the most appropriate option.
A) 16 2/6%
B) 16 9/3%
C) 16 2/3%
D) 16 3/3%
E) 12 2/3%

Solution: 10 16 2/3%P = 12 SP   12 --- 2 16 2/3%P loss   100 --- ? => 16 2/3%   Answer:16 2/3%
Answer: C
If two numbers x, a perfect square and y, a perfect cube are added results a two digit number, whose digits if reversed, difference is 72, Find x and y ? Choose the correct answer.
A) x=4,y=8	B) x=4,y=9	C) x=16,y=64	D) x=4,y=9	E) x=5,y=8

Solution: 16+64= 
16+64 = 80
80   when reversed 08   80-8= 
80-8 = 72
72   x=16,y=64   ANSWER:x=16,y=64
Answer: C
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good?  Choose the correct option
A) 125/129 B) 125/122 C) 125/126 D) 125/121 E) 125/125

Solution: Required probability   = 1 - 1/126   = 125/126   Answer: 125/126
Answer: C
Concentrated grapes juice comes inside a cylinder tube with a radius of 2.5 inches and a height of 15 inches. The tubes are packed into wooden boxes, each with dimensions of 11 inches by 10 inches by 31 inches. How many tubes of concentrated grapes juice, at the most, can fit into 3 wooden boxes?  Choose the correct option:	A) 24.	B) 28.	C) 36.	D) 42.	E) 48.

Solution: Concentrated grapes juice comes inside a cylinder tube since height of a tube is 15 inches , the tubes can fit only in one way .   now, diameter of each tube = 5 inches   therefore, 4*2 can be put in each wooden box   in 3 boxes  3*4*2= 
 3*4*2 = 24
24=24.
Answer: A
If x dollars is invested at 10 percent for one year and y dollars is invested at 8 percent for one year, the annual income from the 10 percent investment will exceed the annual income from the 8 percent investment by $74. If $2,000 is the total amount invested, how much is invested at 8 percent? Choose the correct option:
A) $600
B) $700
C) $800
D) $900
E) $1000

Solution: 0.1x = 0.08(2000-x)+74   0.18x = 234   x = 1300   Then the amount invested at 8% is $2000 - $1300 = $700   The answer is $700.2000 -  1300= 
2000 -  1300 = 700
$700   The answer is $700.
Answer: B
Find the value of (2 − 1/3) (1 − 1/4)(1 − 1/5)……… (1 − 1/99)(1 − 1/100)  Choose one:
A) 1/13
B) 1/19
C) 1/20
D) 1/21
E) 1/31

Solution: (2 − 1/3) (1 − 1/4)(1 − 1/5)..... (1 − 1/99)(1 − 1/100)   5/3 × 3/4 × 4/5 × ....... 98/99 × 99/100 = 5/100 = 1/20   1/20)
Answer: C
At McDonalds you can order Chicken McNuggets in boxes of 6, 9, and 20. What is the largest number such that you can not order any combination of the above to achieve exactly the number you want?  Choose the correct choice from the following choices
A) 43 B) 53 C) 63 D) 73 E) 83

Solution: The answer is 43.   For any desired number if it is divisible by 3 it can easily be made with 6 and 9 packs, except if the number is 3 itself. If you can't use all six packs then use one 9 pack and you can do the rest with six packs.   If the number is not divisible by 3 then use one 20 pack. If the remaining number is divisible by 3 then use the above method for the rest.   If the number still isn't divisible by 3 use a second 20 pack. The remainder must be divisible by 3, in which case use the 6 and 9 packs as above.   The largest impossible number would be such that you would have to subtract 20 twice to get a remainder divisible by 3. However, you can't make 3 itself with 6 and 9 packs. So the largest impossible number is  2*20+3= 
 2*20+3 = 43
43.   correct answer 43
Answer: A
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? Pick one:
A) 120 m
B) 240 m
C) 300 m
D) 200 m
E) None of these

Solution: Explanation:   Speed = (54 * 5/18) m/sec = 15 m/sec. Length of the train = (15 x 20)m = 300 m. Let the length of the platform be x meters. Then, (x + 300)/36 = 15 ==> x + 300 = 540 ==> x = 240 m.   ANSWER IS 240 m
Answer: B
By how much is three-fifth of 620 greater than four- seventh of 210 ?
Choose the correct choice from the following answers: A) 520 B) 215 C) 252 D) None of these E) Cannot be determined

Solution: Solution   3/5 of 620 - 4/7 of 210 = 252.   Answer 252
Answer: C
A man is walking at the rate of 9 km/hr crosses a bridge in 15 minutes. The length of the bridge is Pick one.
A) 1000 meters
B) 1050 meters
C) 2200 meters
D) 2250 meters
E) None of these

Solution: Explanation:   We need to get the answer in meters. So we will first of change distance from km/hour to meter/sec by multiplying it with 5/18 and also change 15 minutes to seconds by multiplying it with 60.   Speed=9âˆ—5/18=5/2m/sec   Time=15âˆ—60seconds=900seconds   2250 metersistance=Timeâˆ—Speed/2250 metersistance=5/2âˆ—900=2250meter   Option 2250 meters
Answer: D
which one is odd?
4377
3954
9863
8454
9831
Select
A) 4377 B) 3954 C) 9863 D) 8454 E) None

Solution: 9863orrect Answer : 9863   sum of digit of all other number is 21, but sum of digit of 9863 is 26
Answer: C
It takes Beth 9 minutes to do one oil change, and it takes Logan 12 minutes. At 4:56 pm, they both finish an oil change simultaneously. If Beth and Logan both began doing oil changes at exactly the same time and worked without pausing, when did they both start doing oil changes?  Pick one:
A) 4:11 pm
B) 4:20 pm
C) 4:29 pm
D) 4:38 pm
E) 4:47 pm

Solution: Since Beth finishes s oil changes after s × 9 minutes and Logan finishes c oil changes after c × 12 minutes, they both finished doing an oil change at the same time when s × 9 = c × 12. Since s and c must be integers (they represent the number of oil changes finished) this question is asking you to find a common multiple of 9 and 12. The question asks for the first time they began a car simultaneously, so you must find the least common multiple and subtract. The least common multiple of 9 and 12 is 36, so in the context of the question, this would be 36 minutes. Therefore, they began changing the oil of a car at the same time at 4:56 - 36 minutes, or 4:20 p.m. The answer is (4:20 pm).
Answer: B
A man can row with a speed of 30 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?  Choose the correct choice from the following answers
A) A)63kmph  B) B)63kmph  C) C)35kmph  D) D)62kmph  E) E)74kmph

Solution: Explanation:   M = 30   S = 5   DS = 30 + 5= 
30 + 5 = 35
35   Answer: Option 35kmph
Answer: C
Every Sunday, Giri jogs 3 miles. For the rest of the week, each day he jogs 1 mile more than the previous day. How many miles does giri jog in 2 weeks ?
Pick one.
A) 42 B) 63 C) 84 D) 98 E) 108

Solution: In one week, Giri jogs   3 + 4 + 5 + 6 + 7 + 8 + 9= 
  3 + 4 + 5 + 6 + 7 + 8 + 9 = 42
42 miles   In two weeks, Giri jogs 84 miles.   ANSWER:84
Answer: C
Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.83. How much was lent at 5%?	Options
A) 700	B) 299	C) 266	D) 500	E) 188

Solution: (x*5*1)/100 + [(1500 - x)*6*1]/100 = 83   5x/100 + 90 â€“ 6x/100 = 83   x/100 = 7   => x = 700   700nswer:700
Answer: A
Sam and Nik start from A and B respectively at the same time and travel towards each other at constant speeds along the same route. After meeting at a point between A and B, Sam and Nik proceed to their destinations of B and A respectively. Sam reaches B 60 minutes after the two meet and Nik reaches A 90 minutes after their meeting. How long did Sam take to cover the distance between A and B?
Choices:
A) 60 minutes
B) 120 minutes
C) 200 minutes
D) 225 minutes
E) none of the above

Solution: t-time taken for A120 minutes to meet   (Vs+Vn)t=Vs*60+Vn*90;   Vs(t-60)=Vn(90-t)   This means 60<t<90   so ans will be 60+t   Only 120 minutes fits this eqn
Answer: B
What do you get if you add 7 to 290 three times? Choose the most appropriate option
A) 305
B) 296
C) 289
D) 297
E) 309

Solution: 297   297 , 297 , 297
Answer: D
On taking delivery of a consignment of eggs the market stall owner was furious to find that several were cracked. In fact, on counting them up in order to assess the damage he found that 72 were cracked, which was 12 per cent of the total consignment. How many eggs in total were in the consignment?  Select the correct option:
A) 700
B) 350
C) 500
D) 600
E) 850

Solution: 600   600   = 72 ÷ 12 × 100   = 600.
Answer: D
A train 275 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Choose the correct choice from the following choices
A) 5	B) 6	C) 7	D) 15	E) 9

Solution: Speed of train relative to man = (60 + 6) km/hr = 66 km/hr   [66 * 5/18] m/sec = [55/3] m/sec.   Time taken to pass the man = [275 * 3/55= 
275 * 3/55 = 15
15 sec   Answer: 15
Answer: D
A rectangular circuit board is designed to have width w inches, perimeter p inches, and area q square inches. Which of the following equations must be true?	Choose one:
A) w^2 + pw + q = 0
B) w^2 - pw + 2q = 0
C) 2w^2 + pw + 2q = 0
D) 2w^2 - pw - 2q = 0
E) 2w^2 - pw + 2q = 0

Solution: Notice that we can discard options A, and C right away. The sum of 3 positive values Cannot be 0.   Now, assume:   Width =w = 1 inchand length = 1 inch;   Perimeter =p = 4 inches;   Area =q = 1 square inches.   Plug the values of w, p, and q into the answer choices: only for E 2w^2 - pw  + 2= 
 + 2 = 2
2 - 4 + 2= 
2 - 4 + 2 = 0
0.   Answer: 2w^2 - pw + 2q= 0.
Answer: E
If neha is 10
Both Sonali and priyanka is 15
Both sadaf and tanu is 10.
how much is prinka by the same system ?  Choose one.
A) 8  B) 9  C) 10  D) 11  E) 12

Solution: Solution:   prinka is 10, in a system that awards five for each vowel.   Answer 10
Answer: C
15 people can write 90 book in 20 days working 7 hour a day.then in how many day 240 can be written by 72 people?
Answers
A) 240/9 B) 309/28 C) 100/9 D) 200/9 E) 339/26

Solution: work per day epr hour per person= 90/(20*7*15) // eq-1   people= 72; let suppose day=p; per day work for 8 hours   acc. to condition   work per day epr hour per person= 240/(p*7*72) // eq-2   eq-1==eq-2;   p= 100/9   ANSWER:100/9
Answer: C
A rectangular-shaped carpet remnant that measures x feet by y feet is priced at $80. What is the cost of the carpet, in dollars per square yard? (9 square feet = 1 square yard)  Choose the correct choice
A) 80xy B) 720xy C) xy/9 D) xy/80 E) 720/(xy)

Solution: xy sq ft = $80   1 sq ft = $80/xy   multiplying by 9 on both side   9 sq ft = $720/xy   or 1 sq yard = $720/xy   Hence 720/(xy).
Answer: E
A 12 month project had a total budget of $24,000. After seven months, the project had spent $12,500. At this point, how much was the project under budget?  Choose the correct choice from the following
A) $1500  B) $1600  C) $1700  D) $1800  E) $1900

Solution: Each month, the project should spend $24,000 / 12 = $2000.   In 7 months, the project should spend 7*$2000=$14,000.   The project is under budget by $14,000 - $12,500 = $1500.   The answer is $1500.
Answer: A
A cube has two of its faces painted half red and half white. The other faces are completely painted white. What is the ratio between the red painted areas and the white painted areas of the cube?
Answers:	A) 1:5	B) 3:6	C) 1:2	D) 2:9	E) 1:3

Solution: Let x be the area of each face of the cube.   The area painted red is 2(x/2) = x   The area painted white is 2(x/2) + 4x = 5x   The ratio of red to white is x:5x which is 1:5.   The answer is 1:5.
Answer: A
In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now?  Choose the most appropriate option
A) 5402 B) 542 C) 5400 D) 5429 E) 5421

Solution: 100x + 400 = 12(x – 5)   x = 50   100 * 50 + 400= 
100 * 50 + 400 = 5_400
5400   Answer:5400
Answer: C
In a bank investment compounds annually at an interest rate of 34.1% What is the smallest investment period by which time the investment will more than triple in value?  Pick one
A) 1.2 B) 1 C) 4 D) 2 E) 3

Solution: Assume initial amount is x   Annual Interest is 34.1% so after 1 year the amount will become x * (100+34.1)/100 => x*4/3   now we need to find n for x * (4/3)^n = 3x   or in other words n = 4   4
Answer: C
What is the tens digit of 6^18?	Choose the correct answer.
A) 1	B) 3	C) 5	D) 7	E) 9

Solution: The tens digit of 6 in integer power starting from 2 (6^1 has no tens digit) repeats in a pattern of 5: {3, 1, 9, 7, 5}:   The tens digit of 6^2=36 is 3.   The tens digit of 6^3=216 is 1.   The tens digit of 6^4=...96 is 9.   The tens digit of 6^5=...76 is 7.   The tens digit of 6^6=...56 is 5.   The tens digit of 6^7=...36 is 3 again.   etc...   18 has the form 5n+3, so the tens digit of 6^18 is 1.   The answer is 1.
Answer: A
A and B together invested Rs. 15,000 in a business. At the end of the year, out of total profit is Rs. 2,000 B's share was Rs. 600. A's investment was
Select
A) Rs. 4,500
B) Rs. 8,250
C) Rs. 10,500
D) Rs. 11,250
E) Rs. 12,250

Solution: A+B=15000   total profit=2000   2000-600= 
2000-600 = 1_400
1400   1400;600=7:3   then   7*15000/10= 
  7*15000/10 = 10_500
10500   ANSWER:Rs. 10,500
Answer: C
By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?	Choose the correct option.
A) 42 6/5 B) 42 6/0 C) 42 6/3 D) 42 6/7 E) 42 6/2

Solution: SP = CP + g   50 SP = 50 CP + 15 SP   35 SP = 50 CP   35 --- 15 CP gain   100 --- ? => 42 6/7%   Answer:42 6/7
Answer: D
The average age of a committee of 8 members is 36 years. A member aged 55 years
retired and his place was taken by another member aged 39 years . The average age of
present committee is;
Choose the correct choice from the following options
A) 39 years B) 34 years C) 36 years D) 35 years E) 31 years

Solution: Exp. Total age of the committee = 36*8= 
36*8 = 288
288,   Total age when a member is retired   and a new one was joined= 288-55 +39, =272   Average age of present committee = 272/8= 
272/8 = 34
34.   Answer: 34 years
Answer: B