MU-NLPC/Calc-aqua_rat huggingface dataset:
Two consultants can type up a report in 12.5 hours and edit it in 7.5 hours. If Mary needs 30 hours to type the report and Jim needs 12 hours to edit it alone, how many hours Q will it take if Jim types the report and Mary edits it immediately after he is done?  Pick one:	A) 41.4	B) 34.1	C) 13.4	D) 12.4	E) 10.8

Solution: Break down the problem into two pieces: typing and editing.   Mary needs 30 hours to type the report--> Mary's typing rate = 1/30 (rate reciprocal of time)(point 1 in theory below);   Mary and Jim can type up a report in 12.5and --> 1/30+1/x=1/12.5=2/25 (where x is the time needed for Jim to type the report alone)(point 23 in theory below)--> x=150/7;   Jim needs 12 hours to edit the report--> Jim's editing rate = 1/12;   Mary and Jim can edit a report in 7.5and --> 1/y+1/12=1/7.5=2/15 (where y is the time needed for Mary to edit the report alone) --> y=20;   How many Q hours will it take if Jim types the report and Mary edits it immediately after he is done--> x+y=150/7+20=~41.4   41.4nswer: 41.4.
Answer: A
10(150) ÷ 10(146) = ?  Choose the most appropriate option:  A) 10(6)  B) 100000  C) 1000  D) 10000  E) None of these

Solution: 10(150) ÷ 10(146) = ?   or ? = 10(150)/10(146)=10(150−146)   i.e, [m(x)/m(y)=m(x−y)]   = 10(4) = 10000   Answer 10000
Answer: D
P, Q and R have Rs.6000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R?
Options:
A) 2388
B) 3722
C) 2400
D) 2872
E) 1231

Solution: Explanation:   Let the amount with R be Rs.r   r = 2/3 (total amount with P and Q)   r = 2/3(6000 - r) => 3r = 12000 - 2r   => 5r = 12000 => r = 2400.   Answer: 2400
Answer: C
Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
Choose the most appropriate option:
A) 2/7  B) 1/7  C) 6/8  D) 1/4  E) 2/9

Solution: Explanation:   Original share of 1 person =1/8   New share of 1 person =1/7   Increase =(1/7-1/8)=1/56   Required fraction =(1/56)/(1/8)=(1/56*8/1)=1/7   Answer:1/7
Answer: B
A 180 meter long train crosses a man standing on the platform in 12 sec. What is the speed of the train?
Pick one:
A) 54 kmph	B) 108 kmph	C) 176 kmph	D) 134 kmph	E) 161 kmph

Solution: S = 180/12 * 18/5= 
180/12 * 18/5 = 54
54 kmph   54 kmphnswer: 54 kmph
Answer: A
A number is doubled and 8 is added. If the resultant is trebled, it becomes 84. What is that number? Choose the most appropriate option:
A) 10	B) 6	C) 8	D) None of these	E) Cannot be determined

Solution: Solution   Let the number be x.   Then, 3(2x + 8)	‹=› 84   ‹=› 2x+8 = 28   ‹=› 2x= 20   x= 10.   10nswer 10
Answer: A
If the height of a cone is increased by 100% then its volume is increased by?
Pick one.
A) 100  B) 777  C) 998  D) 729  E) 2879

Solution: 100%   100nswer:100
Answer: A
How many positive integers less than 120 are there such that they are multiples of 13 or multiples of 12 but not both?  Choose the correct answer:
A) 13  B) 19  C) 15  D) 16  E) 17

Solution: for 13: 13...117=13*9= 
13*9 = 117
117   for 12: 12...120=12*10= 
12*10 = 120
120   but there is one integer 13*12. so   N=(9)+(10)= 
(9)+(10) = 19
19   19
Answer: B
A survey was sent to 75 customers, 7 of whom responded. Then the survey was redesigned and sent to another 60 customers, 9 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey?
Select the correct option: A) 2% B) 5% C) 14% D) 60% E) 73%

Solution: Rate of first survey = 7/75   Rate of second survey = 9/60   % Response rate increase (9/60-7/75)/(7/75) = 60%   Answer is 60% = 60%
Answer: D
A committee is composed of w women and m men. If 3 women and 3 men are added to the committee, and if one person is selected at random from the enlarged committee, then the probability that a woman is selected can be represented by	Pick:
A) w/m  B) w/(w+m)  C) (w+3)/(m+3)  D) (w+3)/(w+m+3)  E) (w+3)/(w+m+6)

Solution: The number of women is w+3.   The total number of people is w+m+6.   P(a woman is selected) = (w+3) / (w+m+6)   The answer is (w+3)/(w+m+6).
Answer: E
A class consists of 100 students, 25 of them are girls and 75 boys; 20 of them are rich and remaining poor; 20 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is  Choose the correct choice:
A) 1/125	B) 1/59	C) 1/56	D) 1/54	E) 1/53

Solution: The probability of selecting girl is: 25/100 = 1/4   The probability of selecting rich is: 20/100 = 1/5   The probability of selecting fair complexioned is: 20/100 = 1/5   Three are independent;probability of rich and fair complexioned girl is:   (1/4) Ã—(1/5) Ã— (1/5) = 1/125   1/125nswer: 1/125
Answer: A
If the letters of the word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the word ‘SACHIN’ appears at serial number?	Pick one
A) 601	B) 238	C) 293	D) 298	E) 272

Solution: If the word started with the letter A then the remaining 5 positions can be filled in 5! Ways.   If it started with c then the remaining 5 positions can be filled in 5! Ways.Similarly if it started with H,I,N the remaining 5 positions can be filled in 5! Ways.   If it started with S then the remaining position can be filled with A,C,H,I,N in alphabetical order as on dictionary.   The required word SACHIN can be obtained after the 5X5!=600 Ways i.e. SACHIN is the 601th letter.   601nswer: 601
Answer: A
In a certain parking lot, 5% of the cars are towed for parking illegally. However 80% of the cars which are parked illegally are not towed. What percentage of cars in the parking lot are parked illegally?  Choose the most appropriate option:  A) 20%  B) 25%  C) 30%  D) 35%  E) 40%

Solution: Let x be the number of cars and let y be the number of cars parked illegally.   5%*x = 20%*y   y/x = 1/4 = 25%   The answer is 25%.
Answer: B
In how many ways can 8 Indians and, 4 American and 4 Englishmen can be seated in a row so that all person of the same nationality sit together?  Choices.
A) 4!*3!  B) 3!*8!*4!*4!  C) 3!*8!  D) 5!*3!  E) 8!*4!

Solution: Taking all person of same nationality as one person, then we will have only three people.   These three person can be arranged themselves in 3! Ways.   8 Indians can be arranged themselves in 8! Way.   4 American can be arranged themselves in 4! Ways.   4 Englishman can be arranged themselves in 4! Ways.   Hence, required number of ways = 3!*8!*4!*4! Ways.   Ans: 3!*8!*4!*4!
Answer: B
How many even number in the range between 10 to 150 inclusive are not divisible by 3
Answers
A) 15	B) 30	C) 31	D) 33	E) 47

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...150   using AP formula, we can say 150 = 10 + (n-1) *2   or n=71.   For 6,   12,18,...96   using AP formula, we can say 150 = 12 + (n-1) *6   or n=24.   Hence, only divisible by 2 but not 3 = 71-24= 
71-24 = 47
47. hence, Answer 47
Answer: E
How many cases do you need if you have to pack 112 pairs of shoes into cases that each hold 28 shoes?
Choose the correct choice from the following choices
A) 6
B) 9
C) 8
D) 12
E) 10

Solution: C   8   112 pairs of shoes = 224 shoes.   = 224 ÷ 28   = 8.
Answer: C
6 points are marked on a straight line and another 5 points are marked on a second straight line with no points in common. How many triangles can be constructed with vertices from among the above points?
Choose the most appropriate option:
A) 21
B) 91
C) 168
D) 196
E) 135

Solution: Solution: select 2 from 5 and one from 6 + select 2 from 6 and 1 from 5   5C2*6C1 + 6C2*5C1   = 135   Answer : 135
Answer: E
4,7,11,18,29,47,...?..,123,199	Options: A) 84 B) 102 C) 76 D) 70 E) none of the above

Solution: the addition of difference between each no. is equal to latter no.   so, difference between 47 and 76 is 29 which is previous no. of 47   answer 76
Answer: C
Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.60 a kg to produce a mixture worth Rs. 6.30 a kg  Choose the correct option.
A) 2:0 B) 2:3 C) 2:1 D) 2:2 E) 7:9

Solution: By the rule of alligation:   Cost of 1 kg rice of 1st kind Cost of 1 kg rice of 2nd kind   Required ratio = 70 : 90 = 7 : 9   Answer: 7:9
Answer: E
We invested a total of $1,000. We invested one part of the money at 5% and the rest of the money at 6%. The total investment with interest at the end of the year was $1,054.50. How much money did we invest at 5%? Choose one
A) $400
B) $450
C) $500
D) $550
E) $600

Solution: Let x be the money invested at 5%.   1.05x+1.06(1000-x)=1054.50.   0.01x=1060-1054.50.   0.01x=5.50.   x=550.   The answer is $550.
Answer: D
James 5 days earnings are {500, 650, 750, 800, 850 }, how much less is the mean of the earnings of James than the median of the earnings of James?	Choose one: A) 50 B) 55 C) 60 D) 40 E) 85

Solution: This is a good question to understand the difference between mean and median.   Mean: Average of all the numbers. (Sum of all the elements divided by the number of elements)   Median: Arrange the elements of the set in increasing order. If the number of terms is odd, the middle term is the median. If the number of terms is even, the average of middle two terms is the median   Coming to this question,   Mean = (500+ 650+ 750+ 800+ 850 )/5= 
(500+ 650+ 750+ 800+ 850 )/5 = 710
710   Median= 750   40ifference = 40   Option 40
Answer: D
Denise is trying to open a safe whose combination she does not know. IF the safe has 4000 possible combinations,and she can try 100 different possibilities,what is the probability that she does not pick the one correct combination.
Choose the correct choice from the following options:
A) 1 B) 159/160 C) 0.975 D) 0.775 E) 0

Solution: If Denise does not pick the correct combination in first 100 try, then the correct combination is one of remaining 3900. So Probability = 3900/4000 = 0.975.   answer is 0.975.
Answer: C
A metallic sheet is of rectangular shape with dimensions 50 m x 30 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 5 m, the volume of the box (in m cube) is: Choices.
A) 4120 m cube  B) 4140 m cube  C) 5140 m cube  D) 5120 m cube  E) None of these

Solution: Explanation:   l = (50 - 10)= 
(50 - 10) = 40
40 m, [because  5+5= 
 5+5 = 10
10]   b= (30 -10)= 
(30 -10) = 20
20 m,   h= 5 m.   Volume of the box = (40 x 20 x 5) m cube   = 4000 m cube.   Option None of these
Answer: E
How many multiples of 6 are less than 3600, and also multiples of 36?	Choose the correct answer
A) 94
B) 100
C) 625
D) 832
E) 833

Solution: The LCM of 6 and 36 is 36. Divide   3600/36= 
  3600/36 = 100
100.xxx. So 100 is your answer.
Answer: B
A can finish a work in 12days and B can do the same work in half the time taken by A. Then, working together what part of the same work they can finish in a day?	Choose the correct option.
A) 1/2
B) 1/3
C) 2/5
D) 1/4
E) 3/7

Solution: 1days work of A+B = (12+6)/12*6 = 1/4   Answer is 1/4
Answer: D
A business school club, Friends of Foam, is throwing a party at a local bar. Of the business school students at the bar, 40% are first year students and 60% are second year students. Of the first year students, 40% are drinking beer, 30% are drinking mixed drinks, and 30% are drinking both. Of the second year students, 30% are drinking beer, 30% are drinking mixed drinks, and 20% are drinking both. A business school student is chosen at random. If the student is drinking beer, what is the probability that he or she is also drinking mixed drinks?
Choose the correct choice from the following answers:	A) 2/5	B) 4/7	C) 12/17	D) 7/24	E) 7/10

Solution: Suppose there are 100 students   Group A : 40% = 40 students   40% drink beer = 16   30% mixed = 12   30% both = 12   Group B 60% = 60   30% beer= 18   30% mixed = 18   20% both= 12   now we need both ( beer + mixed = both)   probability = total beer drinker = 16+18= 
16+18 = 34
34 and both= 20   thus 24/34 = 12/17   Hence 12/17
Answer: C
V and B are integers. The expression (V+1)(B+1) is even. What can be said about V and B?  Select the correct option:
A) They are both even numbers.  B) At least one of them is even.  C) At least one of them is odd.  D) They are both odd.  E) Nothing can be said surly on V and B

Solution: Odd x Odd = Odd   Odd x Even = Even   Even x Even = Even   To fulfill condition Either (V+1) or (B+1) needs to be Even   So either V or B needs to be odd   Or At least one of them is odd.   At least one of them is odd=At least one of them is odd.
Answer: C
A certain company charges $10 per package to ship packages weighing less than 2 pounds each. For a package weighing 2 pounds or more, the company charges an initial fee of $10 plus $3 per pound. If the company charged $31 to ship a certain package, which of the following was the weight of the package, in pounds?	Options.
A) 8 B) 5 C) 7 D) 4 E) 6

Solution: Let the weight of the package be X. Then the cost is 3*X + 10= 31 ---> 3X=21 ---> X=7   Answer : 7
Answer: C
A mother said to her daughter, “I was as old as you are at now at the date of your birth.” If the mother’s age is 38 years now, the daughter’s age 5 years back was?
Choose the correct option:
A) 16 years B) 19 years C) 24 years D) 14 years E) 21 years

Solution: 14 years   14 years   14 yearsaughter’s current age = A years   Then, (38 – A) = A   2A = 38   A = 19 years   14 yearsaughter’s age Five years back = (19 – 5) years   = 14 years
Answer: D
In the class of 100 students, 50 speak Hindi and 70 speak English. What is the lowest possible number of students who
speak both the languages?
Choices
A) A)8
B) B)10
C) C)20
D) D)30
E) E)32

Solution: let the student who speaks hindi-x   let the student who speaks english-y   as (xuy)-(xny)=total   50+70-(xny)=100   =20   20)
Answer: C
In an electric circuit, two resistors with resistances M and N are connected in parallel. In this case, if P is the combined resistance of these two resistors, then the reciprocal of P is equal to the sum of the reciprocals of M and N. What is P in terms of M and N?  Choose the correct answer.
A) (N-M)  B) MN/(M + N)  C) (NM)  D) (N-M)/(M+N)  E) NONE OF THESE

Solution: The wording is a bit confusing, though basically we are told that 1/P= 1/M + 1/N, from which it follows that P=MN/(M + N).   Answer: MN/(M + N)
Answer: B
A batsman in his 10th innings makes a score of 85, and thereby increases his average by 3. What is his average after the 10th innings? He had never been ’not out’. Select the correct option:
A) 47 B) 53 C) 39 D) 43 E) 42

Solution: Average score before 10th innings   = 85 - 3 × 10= 50   Average score after 10th innings   => 50+ 3= 
50+ 3 = 53
53   ANSWER:53
Answer: B
The sum of two numbers is 20 and their difference is 10. Find their product.	Options.
A) 104  B) 114  C) 75  D) 325  E) 335

Solution: Let the numbers be x and y.   Then x + y = 20 and x - y = 10   x = 15; y = 5   xy = 15 * 5= 
15 * 5 = 75
75   ANSWER: 75
Answer: C
Of the 150 people at a party, 70 were women, and 30 women tried the appetizer. If 60 people did not try the appetizer, what is the total number of men who tried the appetizer?
Choose one:
A) 40	B) 50	C) 60	D) 70	E) 80

Solution: Total people at party=150   Women=70   so Men  150-70= 
 150-70 = 80
80   No. of pple who tried appetizer=150-60 (given info)=90   No of women who tried appetizer=30   So Remaining ppl(men) who tried the appetizer =90-30= 
90-30 = 60
60   60orrect Option 60
Answer: C
In the city of San Durango, 40 people own cats, dogs, or rabbits. If 20 people owned cats, 30 owned dogs, 10 owned rabbits, and 10 owned exactly two of the three types of pet, how many people owned all three? Choose the correct answer.
A) 5
B) 7
C) 9
D) 11
E) 13

Solution: Total = C + D + R - (CD + DR + CR) - 2CDR   40 = 20 + 30 + 10 - (10) - 2x   x = 5   So, answer will be 5
Answer: A
In a group of 6 boys and 4 girls, four children are to be selected. In how many ways can they selected that at least one boy should be there? Pick
A) 123	B) 253	C) 209	D) 124	E) 541

Solution: We may have( 1 black and 3 girls) or (2 boys and 2 girls) or (3 boys and 1 girl) or (4boys)   =(6c1 x 4c3)+(6c2 x 4c2)+(6c3 x 4c1)+6c4   =24+90+80+15= 
24+90+80+15 = 209
209   ANS: 209
Answer: C
The least number which when add 3 to it, completely divided 8, 12 and 18 is?	Choose the correct choice from the following options.
A) 71
B) 70
C) 69
D) 68
E) 67

Solution: L69M = 72   72 - 3= 
72 - 3 = 69
69   ANSWER:69
Answer: C
A cistern which could be filled in 9 hours takes one hour more to be filled owing to a leak in its bottom. If the cistern is full in what time will the leak empty it? Answers.
A) 76 hrs B) 99 hrs C) 55 hrs D) 90 hrs E) 11 hrs

Solution: 1/9 - 1/x = 1/10   => 90 hrs   Answer: 90 hrs
Answer: D
A developer has land that has x feet of lake frontage. The land is to be subdivided into lots, each of which is to have either 80 feet or 100 feet of lake frontage. If 1/9 of the lots are to have 80 feet of frontage each and the remaining 48 lots are to have 100 feet of frontage each, what is the value of x ?	Answers.
A) 5,280 B) 3,200 C) 3,700 D) 4,400 E) 4,760

Solution: Total number of plots,be T   Plots with 80ft is (1/9)th of total plots.   Plots with 100ft frontage = (8/9) X total number of plots   i.e 8/9 X T = 48 T = 54   Total lake frontage = 48X100 + 6X80 = 5280   5,280nswer : 5,280
Answer: A
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?	Choose one:
A) 299
B) 277
C) 276
D) 270
E) 281

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec.   Time= 26 sec.   Let the length of the train be x meters.   Then, (x + 250)/26 = 20   x = 270 m.   Answer: 270
Answer: D
In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 42 as quotient. What is the correct quotient ?  Choices: A) 0 B) 12 C) 13 D) 20 E) 24

Solution: 12*42= 
12*42 = 504
504   504%21=24   ANSW24R:24
Answer: E
The ratio between the speeds of two trains is 3 : 8. If the second train runs 600 kms in 6 hours, then the speed of the first train is
Choose one:
A) 37.5 km/h
B) 60.5 km/h
C) 42.5 km/h
D) 32.5 km/h
E) 35.5 km/h

Solution: 37.5 km/h   37.5 km/h
Answer: A
How many prime numbers exist in 67 x 353 x 1110 ?  Choose the correct choice from the following
A) 30 prime number
B) 29 prime number
C) 27 prime number
D) 31 prime number
E) None of these

Solution: Solution:   =(2 x 3)7 x (5 x 7)3 x 1110   =27 x 37 x 53 x 73 x 1110   Thus, there are   (7 + 7 + 3 + 3 + 10)= 
  (7 + 7 + 3 + 3 + 10) = 30
30 prime number   30 prime numberNSWER:30 prime number
Answer: A
A car owner buys petrol at 7.50, 8.00 and 8.50 per litre for three successive years. What approximately is his average cost per litre of petrol if he spends 4000 each year?	Choose the correct choice from the following: A) 8 B) 9 C) 7.98 D) 7.98 E) None of the above

Solution: Let average cost of petrol per litre be x   Then x = 12000 /4000/7.5+4000/8+4000/8.5   = 3 /2/15+1/8+2/17=6120/767= Rs. 7.98 per litre   Answer 7.98
Answer: C
What least number should be added to 1022, so that the sum is completely divisible by 25?  Choose the correct choice from the following answers.
A) 4	B) 3	C) 2	D) 0	E) 5

Solution: 1022 Ã· 25 = 40 with remainder = 22   22 + 3= 
22 + 3 = 25
25.   Hence 3 should be added to 1022 so that the sum will be divisible by 25   Answer: Option 3
Answer: B
Indu gave Bindu Rs.2500 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 2% per annum simple interest?	Choose the most appropriate option: A) 1 B) 2 C) 3 D) 4 E) 5

Solution: 2500 = D(100/2)2   D = 1   1nswer: 1
Answer: A
In a simultaneous throw of a pair of dice, find the probability of getting a total more than 9 Select:
A) 1/2
B) 7/18
C) 5/13
D) 5/12
E) 6/17

Solution: Total number of cases = 8*8= 
8*8 = 64
64   Favourable cases= [(2,8),(3,6),(3,7),(4,6),(4,7),(4,8),(5,5),(5,6),(5,7),(5,8),(6,4),(6,5),(6,6),(6,7),(6,8),(7,3),(7,4),(7,5),(7,6),(7,7),(7,8),(8,2),(8,3),(8,4),(8,5),(8,6),(8,7),(8,8)] = 28   So Probability = 28/64 = 7/18   Answer is 7/18
Answer: B
If 'x' is a positive integer exactly divisible by 6 or 15 but not divisible by 12.What could possibly be the value of 'x' ?	Choose the most appropriate option:
A) 120
B) 60
C) 36
D) 90
E) 54

Solution: 120 and 60 are both divisible by 6 and 15 but also by 12. so they are not the right answer.   36 and 54 are both clearly not divisible by 15(not correct)   90 is both divisible by 6 and 15 but not by 12.   answer : (90) 90
Answer: D
The ration between the present ages of P and Q is 6:7. If Q is 4 years older than P, what will be the ratio of the ages of P and Q after 4 years?	Choose the correct choice from the following answers:
A) 2:3
B) 7:8
C) 11:13
D) 9:13
E) 1:2

Solution: Let P's and Q's age be 6x and 7x   7x-6x = 4   x = 4   Required ratio = (6x+4):(7x+4) = 28:32 = 7:8   Answer is 7:8
Answer: B
How many R ways can Jason sit with his five friends in a row of six seats with an aisle on either side of the row, if Jason insists on sitting next to one of the aisles?
Choose the most appropriate option:  A) 120  B) 240  C) 360  D) 540  E) 720

Solution: Jason can select his seat in 2 Ways (two aisles)   His 1st of 4 friends have 5 seats to select =>   His 2nd of remaining 3 friends will have 4 seat to chose from...and so on   Total ways R=> 2*5*4*3*2*1 = 240.240
Answer: B
The price of a VCR is marked at Rs. 12,000. If successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it? Choose the correct answer.
A) Rs. 8400
B) Rs. 8721
C) Rs. 8856
D) Rs. 9000
E) None of these

Solution: Explanation:   Actual price = 95% of 90% of 85% of Rs. 12000   = 95/100 * 90/100 * 85/100 * 12000 = Rs. 8721.   ANSWER IS Rs. 8721
Answer: B
If s is three times larger than n , and if 2n+3 is 20% of 25, what is the value of ?
Options:
A) 1 B) 2 C) 3 D) 6 E) 12

Solution: Then the wordings of question are misleading. Moreover, it'd also be a bad way to convey s=4n, if it really wanted to convey so.   From other questions that I have seen, proper wordings could be:   If s is three times as large as n   OR simply,   If s is three times n.3
Answer: C
When 52416 is divided by 312, the quotient is 168. what will be the quotient when 52.416 is divided by 0.68?	Choose the correct option.
A) 5  B) 6  C) 4  D) 3  E) 8

Solution: for the 1st no. there are 2 digits after decimal   for the 2nd no. there are 2 digits after decimal   total no. of decimals = 4   req. no. of digits=(n-1)=(4-1)= 
(4-1) = 3
3   ANSWER :3
Answer: D
A man buys a cycle for Rs. 1600 and sells it at a loss of 15%. What is the selling price of the cycle?	Choose one: A) 1410 B) 1420 C) 1360 D) 1440 E) 1540

Solution: S.P. = 85% of Rs. 1600 = 85/100 x1600= Rs. 1360   answer : 1360
Answer: C
The average earning of amechanic for the first 4days of a week is Rs.53 and for the last four days is Rs.22. If heearns Rs.20 on the fourth day, his average earning forthe whole week is?
Select the correct option:
A) s. 10 B) s. 20 C) s. 30 D) s. 40 E) s. 50

Solution: Total earning for the week = Sum of earning of first four days + Sum of earning of last four days - Earning of 4th day   = 4 x 53 + 4 x 22 -20   = Rs. 280   âˆ´ Average earning = 280/ 7   = Rs. 40   s. 40
Answer: D
A certain collage has total of 410 seniors each majoring in exactly one of six subjects. A minimum of 20 seniors major in each six subjects. If three quarter of the seniors major in one of four subjects, what is the greatest possible number of seniors majoring in one of the other two subjects? Choose one.
A) 60  B) 90  C) 70  D) 80  E) 40

Solution: Answer is B.   Six majors are as follows: a + b + c + d + e + f   Each has at least 20 seniors: 20 + 20 + 20 + 20 + 20 + 20   4 of the majors have 300 seniors: a + b + c +d = 300   There are a total of 410 seniors.   So e + f = 120. One of the subjects has to be 20 for the other to be maximized. If e = 20, then f =90.   90
Answer: B