MU-NLPC/Calc-aqua_rat huggingface dataset:
A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
Choose the correct choice from the following choices.
A) 15 days
B) 12 days
C) 13 days
D) 20 days
E) 25 days

Solution: 15 days'S 2nd day work = (1/20 * 2) = 1/10   (15 days+B+C)'S 1 day's work = (1/20 + 1/30 + 1/60) = 1/10   work done in 3 days = 1/5   => whole work will be done in (3*5)= 
(3*5) = 15
15 days   15 daysNSWER 15 days
Answer: A
Rs.160 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins?	Choose the correct choice from the following answers.
A) 277
B) 267
C) 120
D) 110
E) 112

Solution: 4x 5x 6x   100 50 25   400x + 350x + 150x = 16000   x = 20   6x = 120   Answer:120
Answer: C
The volume of a certain substance is always directly proportional to its weight. If 48 cubic inches of the substance weigh 112 ounces, what is the volume, in cubic inches, of 56 ounces of this substance?	Choose the correct choice from the following choices:
A) 27  B) 36  C) 42  D) 24  E) 147

Solution: 112 ounces of a substance has a volume of 48 cubic inches   56 ounces of a substance has a volume of (48/112)*56= 
(48/112)*56 = 24
24 cubic inches   Answer 24
Answer: D
From a group of boys and girls, 15 girls leave. They are then left 2 boys for each girl. After this, 36 boys leave. There are then 5 girls for each boy. Find the number of girls in the beginning  Pick
A) 20	B) 10	C) 35	D) 50	E) 40

Solution: Assume the number of boys at present = x   Then, the number of girls at present = 5x   Before the boys left, the number of boys were (x+36) and number of girls were 5x   Hence, 2(5x) = x + 36   => 10x = x + 36   => x = 4   Number of girls in the beginning = (5x + 15) = (5×4 + 15) = 35   Answer is 35.
Answer: C
A person decided to build a house in 100days. He employed 100men in the beginning and 100 more after 80 days and completed the construction in stipulated time. If he had not employed the additional men , how many days behind schedule would it have been finished?
Pick one.
A) 40
B) 80
C) 70
D) 60
E) 50

Solution: 200 men do the rest of the work in   100-80= 
  100-80 = 20
20 days   100 men can do the rest of the work in 20*200/100= 
20*200/100 = 40
40days   Required number of days= 40-80 = 40 days   40nswer is 40
Answer: A
Sales price is $44, gross profit is 120% of cost, what is the value of gross profit? Pick one
A) 24  B) 33  C) 39  D) 40  E) 42

Solution: Cost + Profit = Sales   Cost + (120/100)Cost = 44   Cost = 20   Profit = 44 - 20= 
44 - 20 = 24
24   24nswer (24)
Answer: A
Three medical experts, working together at the same constant rate, can write an anatomy textbook in 24 days. How many additional experts, working together at this same constant rate, are needed to write the textbook in 18 days?  Choose the correct answer.
A) 1	B) 2	C) 3	D) 4	E) 5

Solution: Each expert can write 1/72 of the book per day.   To complete the book in 18 days, we need 72/18= 
72/18 = 4
4 experts, thus 1 more expert is needed.   The answer is 1.
Answer: A
If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 5 and 5K + 1 is 30, what is the value of K?  Choose the correct choice.
A) 11
B) 15 3/4
C) 22
D) 23
E) 25 3/10

Solution: K + 2K +3 + 3K - 5 + 5K +1 = 11K -1   (11K -1)/4 = 30   11K = 30 * 4 +1 = 120 +1= 
120 +1 = 121
121   K= 121 / 11= 
121 / 11 = 11
11.   11nswer 11.
Answer: A
A father is twice as old as his son. 20 years ago, the age of the father was 12 times the age of the son. The present age of the father (in years) is	Choose the correct choice.
A) 11
B) 22
C) 44
D) 55
E) 66

Solution: Explanation:   Let sons age = x. Then, fathers age = 2x.   12(x—2O) = (2x - 20) so x = 22   Fathers present age = 44 years   Option 44
Answer: C
What is the area of an equilateral triangle whose one side length is 80? Answers.
A) 800√3	B) 1000√3	C) 1200√3	D) 1400√3	E) 1600√3

Solution: -> The area of an equilateral triangle with one side length of a is √3a2/4. Thus, √3(80^2)/4=1600√3 and the answer is 1600√3.
Answer: E
How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 170 m in length?  Answers
A) 16.5
B) 16.0
C) 16.3
D) 16.8
E) 16.1

Solution: D = 110 + 170= 
110 + 170 = 280
280 m   S= 60 * 5/18 = 50/3   T = 280 * 3/50= 
280 * 3/50 = 84/5 = around 16.8
16.8 sec.   Answer: 16.8
Answer: D
How many odd, positive divisors does 540 have? Options:
A) 6
B) 8
C) 12
D) 15
E) 24

Solution: Make a prime factorization of a number: 540=2^2*3^3*5 --> get rid of powers of 2 as they give even factors --> you'll have 3^3*5 which has (3+1)(1+1)=8 factors.   Another example: 60=2^2*3*5 it has (2+1)(1+1)(1+1)=12 factors out of which (1+1)(1+1)=4 are odd: 1, 3, 5 and 15 the same # of odd factors as 60/2^2=15 has.   Answer: 8.
Answer: B
it is a small town railway station and there are 25 stations on that line.at each of the 25 stations the passengers can get tickets for any other 24 stations.how many different kind of tickets do you think the booking clerk has to keep?  Select: A) 24 B) 25 C) 26 D) 27 E) 28

Solution: 600 different kind of tickets booking clerk has to keep.   24 type of tickets are to be issued from each originating station.   Therefore, 25*24 = 600 tickets   24NSWER:24
Answer: A
In a 60 member association consisting of men and women, exactly 20% of men and exactly 25 % women are homeowners. What is the least number of members who are homeowners?
Choose the correct answer.
A) 29	B) 13	C) 25	D) 23	E) 21

Solution: Solution simple   Out of 60 20% are male i.e 12 and 25% are female i.e 15 , so total homeowner is 27.   Now min number homeowner is 12 and max is 27 so question ask us to find least and 13 has least value among all option.   So ans is 13.   Answer : 13
Answer: B
The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is? Select:
A) 227 m
B) 287 m
C) 245 m
D) 186 m
E) 177 m

Solution: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (130 + X)/30 = 25/2 ==> 2(130 + X) = 750 ==> X = 245 m.   Answer:245 m
Answer: C
Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly? Select the correct option:
A) 1261  B) 8981  C) 2379  D) 2893  E) 2721

Solution: 1261 = 8000(21/20)3   = 9261   = 8000   ---------   1261   1261nswer: 1261
Answer: A
In how many ways can the letters D, I, G, I, T be arranged so that the two I's are not next to each other?
Select the correct option:
A) 36
B) 48
C) 72
D) 96
E) 128

Solution: total number of ways to arrange all the letters = 5!/2!   this includes when both I's are together and not together.   now consider both I's are combined together and arranged, then total number = 4!   these are the arrangements when both the I's are together.   so number of ways when both I's are not together = 5!/2! - 4! = 60-24= 
60-24 = 36
36   36nswer:36
Answer: A
A,B,C can complete a piece of work in 21,6,12 days. Working together, they complete the same work in how many days?
Choose the correct choice from the following: A) 2 B) 4/5 C) 7/9 D) 10 E) 84/25

Solution: A+B+C 1day work = 1/21 + 1/6 + 1/12 + +  1= 
+ +  1 = 1
1/21 + 1/6 + 1/12= 25/84   A,B,C together will complete the job in 84/25 days   Answer is 84/25
Answer: E
In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples? Select.
A) 5/21
B) 5/27
C) 5/25
D) 5/24
E) 5/22

Solution: Number of ways of (selecting at least two couples among five people selected) = (⁵C₂ * ⁶C₁)   As remaining person can be any one among three couples left.   Required probability = (⁵C₂ * ⁶C₁)/¹⁰C₅   = (10 * 6)/252   = 5/21   5/21nswer: 5/21
Answer: A
How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 18 kmph?
Choose the most appropriate option.
A) 80 sec
B) 20 sec
C) 40 sec
D) 50 sec
E) 60 sec

Solution: 50 sec = 100 + 150= 
100 + 150 = 250
250   S= 18 * 5/18= 
18 * 5/18 = 5
5 mps   T= 250/5= 
250/5 = 50
50 sec   50 sec) 50 sec
Answer: D
A baker makes chocolate cookies and peanut cookies. His recipes allow him to make chocolate cookie in batches of 7 and peanut cookies in batches of 6. If he makes exactly 96 cookies, what is the minimum number of chocolate chip cookies he makes?
Choose one:	A) 7	B) 14	C) 21	D) 28	E) 42

Solution: 7C+6P=96   We need to maximize P to minimize C so that the eq is also satisfied   Try substitution for CP to solve so that eqn is satisfied   The least value of C for which equation gets satisfied is 5   i.e. 7*6+6*9=42+54= 
42+54 = 96
96   Hence 42 is the answer
Answer: E
A truck covers a distance of 550 metres in 1 minute whereas a bus covers a distance of 33kms in 45minutes. The ratio of their speeds is?  Choose the correct choice from the following options:
A) 1:2	B) 3:4	C) 2:5	D) 3:7	E) 1:3

Solution: Ratio of speeds = (550/60) 18/5 : 60*33/45 = 33:44 = 3:4   Answer is 3:4
Answer: B
What is remainder of the division (1225*1227*1229)/12?
Options:
A) 1  B) 0  C) 3  D) 2  E) 4

Solution: remainder will be number/ 100 here as the divisor is two digit number = 12.   hence checking for the last two digits = 5*7*9 = 15   Thus remainder = 3.   Answer : 3
Answer: C
Jolene entered an 14-month investment contract that guarantees to pay 2 percent interest at the end of 6 months, another 3 percent interest at the end of 12 months, and 4 percent interest at the end of the 18 month contract. If each interest payment is reinvested in the contract, and Jolene invested $10,000 initially, what will be the total amount of interest paid during the 18-month contract?  Choose the correct choice from the following options:	A) $506.00	B) $726.24	C) $900.00	D) $920.24	E) $926.24

Solution: If interest were not compounded in every six months (so if interest were not earned on interest) then we would have   (2+3+4)= 
  (2+3+4) = 9
9% simple interest earned on $10,000, which is $900. So, you can rule out A, B and C right away.   Interest earned after the first time interval: $10,000*2%=$200;   Interest earned after the second time interval: ($10,000+$200)*3%=$300+$6=$306;   Interest earned after the third time interval: ($10,000+$200+$306)*4%300+ 6= 
300+ 6 = 306
$306;   Interest earned after the third time interval: ($10,000+$200+$306)*4%=$400+$8+(~$12)=~$420;   Total: 200+306+(~420)400+ 8+(  12)= 
400+ 8+(  12) = 420
~$420;   Total: 200+306+(~420)=~$506.00   $506.00nswer: $506.00.
Answer: A
If X is the sum of first 40 positive even integers and Y is the sum of first 40 positive odd integers, what is the value of x-y?
Please try to explain your answers  Choose the correct choice from the following options
A) 0	B) 25	C) 40	D) 75	E) 100

Solution: First even minus first odd = 2-1= 
2-1 = 1
1;   The sum of first 2 even integers minus the sum of first 2 odd integers= (2+4)-(1+3)= 
(2+4)-(1+3) = 2
2;   The sum of first 3 even integers minus the sum of first 3 odd integers= (2+4+6)-(1+3+5)= 
(2+4+6)-(1+3+5) = 3
3;   We can see the patterns here, so the sum of first 40 positive even integers minus the sum of first 40 positive odd integers will be 40.   Answer: 40.
Answer: C
In how many ways can the integer 120 be expressed as a product of two different positive integers? Answers
A) 10
B) 8
C) 5
D) 4
E) 2

Solution: 120=(2^3)*3*5   Since 120 is not a perfect square, no of ways=5   Answer 5
Answer: C
The cost of 8 dozen pencil and 2 dozen note book is 520 rupee. If cost of 3 pencil and 4 note book is 60 rupee, then sum of the cost of 1 pencil and 1 note book will be (in rupee)  Choose the most appropriate option
A) rs 13.51 B) rs 15.51 C) rs 16.51 D) rs 14.51 E) rs 17.51

Solution: let cost of pencil=rs x   cost of notebook= rs y   cost of 8 dozen pencils are 96x   cost of 2 dozen pencils are 24y   cost of 3 pencils are 3x   cost of 4 notebooks are 4y   equations are   96x + 24y = 520-----1   3x +4y = 60-----2   multiplying 6 with equation (2) and then subtracting eqn (1)-eqn (2),we get   96x + 24y = 520   18x + 24y = 360   after solving the equations,we get   x=2.05   y=13.46   cost of 1 pencil and 1 notebook is  2.05+13.46= 
 2.05+13.46 = 15.51
rs 15.51   ANSWER:rs 15.51
Answer: B
If x is divisible by 2, 14, and 35, which of the following must be the least multiple of x?  Select the correct option: A) 308 B) 154 C) 70 D) 44 E) 35

Solution: We are looking for the L70M (which is not 0) of 2, 35 = 7*5, 14 = 2*7:    2 * 5 * 7= 
 2 * 5 * 7 = 70
70   The answer is 70.
Answer: C
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?	Select the correct option:
A) 320 m B) 350 m C) 650 m D) 700 m E) 750 m

Solution: Speed = 300/18 = 50/3 m/sec.   Let the length of the platform be x meters.   Then, (x + 300)/39 = 50/3   3x + 900 = 1950 => x = 350 m.   ANSWER 350 m
Answer: B
A baseball card decreased in value 50% in its first year and 10% in its second year. What was the total percent decrease of the card's value over the two years?	Choices:	A) 28%	B) 55%	C) 32%	D) 36%	E) 72%

Solution: Let the initial value of baseball card = 100   After first year , value of baseball card = (1- 50/100)* 100= 
(1- 50/100)* 100 = 50
50   After second year , value of baseball card=(1 - 10/100)* 50= 
(1 - 10/100)* 50 = 45
45   total percent decrease of the card's value over the two years= (100-45)/100 *100= 
(100-45)/100 *100 = 55
55%   Answer 55%
Answer: B
There are 2 kinds of staff members in a IT company, PART TIME AND FULL TIME. 25 percent of the total members are PART TIME members others are FULL TIME members. The work time of part time members is 3/5 of the full time members. Wage per hour is same. What is the ratio of total wage of part time members to total wage of all members. Choose the correct choice from the following.
A) A.1/4
B) B.1/5
C) 1/6
D) 1/7
E) 1/8

Solution: Just plug in   Assuming there are 100 employees   25% are PT = 25   75% FT = 75   Assume that the total number of hrs FT employees have to work = 10   PT will work = 3/5*10= 
3/5*10 = 6
6   since the wages are same , there will no affect on ratios   total number of hrs FT employees work= 75*10= 
75*10 = 750
750   PT= 25*6= 
25*6 = 150
150   now the ratio is 150/900= 1/6 answer is 1/6
Answer: C
Three cubes of metal whose edges are 9, 12 and 21 cm respectively, are melted and one new cube is made. Find the edge of the new cube?  Pick one.
A) 28
B) 22.7
C) 66
D) 18
E) 99

Solution: 93 + 123 + 213 = a3 => a   = 22.7   Answer: 22.7
Answer: B
Seller selling an apple for Rs.16, a Seller loses 1/6th of what it costs him. The CP of the apple is?	Choices:	A) 10	B) 12	C) 17	D) 18	E) 20

Solution: SP=16Loss=17P17Loss=17P−SP=17P−16⇒17P17=17P−16⇒16 17P17=16⇒17P17=1⇒17P=17   17
Answer: C
In the Mundane Goblet competition, 6 teams compete in a “round robin” format: that is, each team plays every other team exactly once. A team gets 3 points for a win, 1 point for a tie (a draw), and 0 points for a loss. What is the difference between the maximum total points and the minimum total points that can be gained by all teams (added together) in the Mundane Goblet competition?	Answers: A) 15 B) 30 C) 45 D) 60 E) 75

Solution: No O15 yet: my method:   max points:   15 B C D E F   15 12 9 6 3 0 = 45POINTS   min points   15 B C D E F   5 5 5 5 5 5 = 30   45-30= 
45-30 = 15
15 points====> (15)15NS
Answer: A
A six-digit number is formed by repeating a three-digit number; for example, 256256 or 678678 etc. Any number of this form is always exactly divisible by : Pick.
A) 7 only B) 13 only C) 11 only D) 1001 only E) 1003 only

Solution: 256256 = 256 x 1001; 678678 = 678 x 1001, etc.   So, any number of this form is divisible by 1001   ANSWER:1001 only
Answer: D
Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly? Choose the most appropriate option:
A) 1261 B) 276 C) 88 D) 27 E) 828

Solution: Explanation:   1261 = 8000(21/20)3   = 9261   = 8000   ---------   1261   1261nswer:1261
Answer: A
The number of new words that can be formed by rearranging the letters of the word 'tuesday' is? Choose the correct option
A) 5040
B) 7
C) 1
D) 5041
E) 5039

Solution: Number of words which can be formed   = 7! - 1 = 5040 - 1= 
5040 - 1 = 5_039
5039.   Answer:5039
Answer: E
A train 280 m long, running with a speed of 63 km/hr will pass a tree in	Choose the correct option:
A) 15 sec.
B) 16 sec.
C) 18 sec.
D) 20 sec.
E) None

Solution: Solution   Speed	= (63 x 5/18) m/sec   = 35/2 msec   Time taken	= (280 x 2 /35)m/sec   = 16 sec.   Answer 16 sec.
Answer: B
Shekar scored 76, 65, 82, 67 and 55 marks in Mathematics, Science, Social studies, English and Biology respectively. What are his average marks? Choose the correct choice from the following answers:
A) 65 B) 69 C) 75 D) 85 E) 90

Solution: Explanation :   Average= (76+65+82+67+55)/5 = 375/5 =69   Hence average=69   Answer : 69
Answer: B
12, 10, x, 8
The median of the list of positive integers above is 9. Which of the following could be the average (arithmetic mean) of the list? Options.
A) 3	B) 5.5	C) 6.25	D) 7	E) 9

Solution: GivenThe median of the list of positive integers above is 9   So arranging the numbers from lowest to highest, avg of 2 middle terms needs to be 9   so the sequence will be x 8 10 12   Lets say x = 6, which gives us mean = sum/4 = 9   9 is correct
Answer: E
The average of 9 observations was 6, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?  Options:
A) 36  B) 12  C) 15  D) 17  E) 18

Solution: Explanation:   1 to 9 = 9 * 6= 
9 * 6 = 54
54   1 to 5= 5 * 10= 
5 * 10 = 50
50   5 to 9= 5 * 8= 
5 * 8 = 40
40   5th= 50 + 40= 
50 + 40 = 90
90 – 54= 36   Option 36
Answer: A
At a game of billiards,A can give B 15 points in 60 and A can give C 20 points in 60.How many points can B give C in a game of 90 ?	Select.
A) 30 points B) 20 points C) 10 points D) 12 points E) None of these

Solution: Solution   A : B = 60 : 45 and A : C = 60 : 40.   ∴ B/C =( B/A x A/C) = (45/60 x 60/40) = 45/40 =90/80= 90 : 80   ∴ B can give C 10 points in a game of 90.   Answer 10 points
Answer: C
Three consecutive odd integers are in increasing order such that the sum of the last two integers is 15 more than the first integer. Find the three integers? Answers: A) 7, 9, 29 B) 7, 2, 10 C) 7, 9, 10 D) 9, 11,13 E) 7, 9, 29

Solution: Explanation:   Let the three consecutive odd integers be x, x + 2 and x + 4 respectively.   x + 4 + x + 2 = x + 15 => x = 9   Hence three consecutive odd integers are 9, 11 and 13.   Answer:9, 11,13
Answer: D
Ramesh and Neelesh start walking to meet one another from places 25 kms apart. If Ramesh walks at the rate of 2 kms an hour and Neelesh at 3 kms an hour, how many hours will it be before they meet?  Choose the correct choice from the following choices:  A) 2 hr  B) 3 hr  C) 4 hr  D) 5 hr  E) 6 hr

Solution: velocity of ramesh =2km/h   velocity of neelesh =3km/h   both start moving from both the end of 25km   let at time t they meet   let ramesh walks x km   than neelesh have walk =25-x km   2=x/t.......(a)   3=25-x/t.....(b)   on solving   t=5 hr.   ANSWER:5 hr
Answer: D
Find the sum of 4 digit numbers which are made by 1,2,5,6  Choose the correct choice from the following answers
A) 93424	B) 93524	C) 92324	D) 93324	E) 93344

Solution: (n-1)!(1111....)(sum of digits)   (4-1)!(1111)(1+2+5+6)   93324   ANSWER:93324
Answer: D
A hostel had provisions for 250 men for 48 days. If 50 men left the hostel, how long will the food last at the same rate?
Choices
A) 30 B) 40 C) 50 D) 60 E) 65

Solution: A hostel had provisions for 250 men for 48 days   If 50 men leaves the hostel, remaining men = 250 - 50= 
250 - 50 = 200
200   We need to find out how long the food will last for these 200 men.   Let the required number of days= x days   More men, Less days (Indirect Proportion)   (men) 250 : 200 :: x : 48   250×48=200x   5×48=4x   x=5×12=60   ANSWER 60
Answer: D
Robert spent $64 in buying raw materials, $125 in buying machinery and 10% of the total amount he had as cash with him. What was the total amount?  Choices.
A) A)$150	B) B)$210	C) C)$250	D) D)$160	E) E)$200

Solution: Let the total amount be x   then, (100-10)% of x = 64+125   90% of x = 189   90x/100 = 189   x = $210   Answer is $210
Answer: B
The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:  Choose the correct choice from the following choices
A) 1008  B) 1015  C) 1022  D) 1032  E) 1045

Solution: 1015 as it is divisible by every no..   ANSWER:1015
Answer: B
The number which exceeds 16% of it by 84 is :
Pick:
A) 100 B) 52 C) 58 D) 60 E) 62

Solution: Solution   Solution   Let the number be x.   x-16% of x =84   x-16/100x =84   x-4/25x=84   21/25x=84   x=(84x25/21)= 100   100nswer 100
Answer: A
In how many ways can the integer 54 be expressed as a product of two different positive integers?  Choose the correct option:
A) 10  B) 8  C) 5  D) 4  E) 2

Solution: 54=(3^3)*2   Since 54 is not a perfect square, no of ways=4   Answer 4
Answer: D
On selling 13 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is: Select
A) s. 45 B) s. 50 C) s. 55 D) s. 60 E) s. 90

Solution: (C.P. of 13 balls) - (S.P. of 13 balls) = (C.P. of 5 balls)   C.P. of 8 balls = S.P. of 13 balls = Rs.720.   C.P. of 1 ball = Rs.720/8	= Rs.90.   Answer: Option s. 90
Answer: E
Due to construction, the speed limit along an 9-mile section of highway is reduced from 55 miles per hour to 25 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
Choose the correct choice from the following answers:
A) A) 11.79
B) B) 8
C) C) 10
D) D) 15
E) E) 24

Solution: Old time in minutes to cross 9 miles stretch = 9*60/55 = 9*12/11 = 9.81   New time in minutes to cross 9 miles stretch = 9*60/25 = 9*12/5= 
9*12/5 = 108/5 = around 21.6
21.6   Time difference= 11.79   11.79ns:11.79
Answer: A
A 300 meter long train crosses a platform in 45 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?	Answers:  A) 99  B) 450  C) 350  D) 882  E) 281

Solution: Speed = [300 / 18] m/sec = 50/3 m/sec.   Let the length of the platform be x meters.   Then, x + 300 / 45 = 50/3   3(x + 300) = 2250 è x = 450m.   Answer: 450
Answer: B
In how many ways can the letters of the word RECPECT be arranged?
Pick:
A) 6453
B) 9856
C) 2520
D) 6429
E) 8547

Solution: RECPECT has 7 words, but E is repeated two times. Thus ways = 7! / 2! = 2520 ways   2520
Answer: C
3 teenagers decided to make greetings cards to sell. Their goal was to make 60 cards. Mark made 7 times more than Paul, while John made three times more than Paul. How many did Paul make? Choose the correct choice from the following answers: A) 3 B) 6 C) 7 D) 36 E) 60

Solution: # of cards Paul made = x   Mark = 7x   John = 3x   X + 7x+ 3x = 66   11x = 66   X = 6   ANSWER: 6
Answer: B
Walking with 4/5 of my usual speed, I miss the bus by 3 minutes. What is my usual time? Choices:
A) 16 min	B) 26 min	C) 34 min	D) 20 min	E) 12 min

Solution: Speed Ratio = 1:4/5 = 5:4Time Ratio   = 4:51 -------- 3 4 --------- ? è 12   Answer: 12 min
Answer: E
Fourteen years ago, P was half of Q in age. If the ratio of their present ages is 3:4, what will be the total of their present ages  Answers:
A) A)35	B) B)34	C) C)45	D) D)49	E) E)26

Solution: Explanation:   Let the present age of P and Q be 3x and 4x respectively.   Fourteen years ago, P was half of Q in age   => 2(3x – 14) = (4x – 14)   => 6x – 28 = 4x – 14   => 2x = 14   => x = 7   7*x = 7*7= 
7*7 = 49
49   Answer: Option 49
Answer: D
Car A runs at the speed of 70km/hr & reaches its destination in 10hr. Car B runs at the speed of 35 km/h & reaches its destination in 10h. What is the respective ratio of distances covered by Car A & Car B?
Pick:  A) 11 : 5  B) 11 : 8  C) 13 : 7  D) 15 : 7  E) 2 : 1

Solution: Sol. Distance travelled by Car A = 70 × 10 = 700 km   Distance travelled by Car B = 35 × 10 = 350 km   Ratio = 700/350= 
700/350 = 2
2 : 1   Answer : 2 : 1
Answer: E
What is the area of a square field whose diagonal of length 14 m?	Choose the most appropriate option
A) 160 sq m  B) 140 sq m  C) 200 sq m  D) 400 sq m  E) 180 sq m

Solution: d2/2 = (14 * 14)/2 = 140   ANSWER:140 sq m
Answer: B