MU-NLPC/Calc-aqua_rat huggingface dataset:
If a, b, c are integers; a² + b² = 45 and b² + c² = 40, then the values of a, b and c respectively are :	Choices:  A) 2, 6, 3  B) 3, 2, 6  C) 5, 4, 3  D) 4,5,3  E) None of these

Solution: a² + b² = 45 ….(1) and b² + c² = 40   Subtracting, we get: a² - c² = 5 => (a + c) (a – c) = 5.   (a + c) = 5 and (a – c) = 1.   Solving we get: a = 3, c = 2. Putting c = 2 in (ii), we get b = 6.   ANSWER:3, 2, 6
Answer: B
in a powder mix two varieties of powders costing Rs. 15 and Rs. 20 per kg respectively so as toget a mixture worth Rs. 16.50 kg?
Choose the correct option:
A) 1:3	B) 2:5	C) 7 : 3	D) 7:5	E) 5:8

Solution: By the rule of alligation:   Cost of 1 kg pulses of 1st kindCost of 1 kg pulses of 2nd kind   Rs. 15	Mean Price   Rs. 16.50	Rs. 20   3.50	1.50   Required rate = 3.50 : 1.50 = 7 : 3   7 : 3
Answer: C
A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is:
Choose the correct answer
A) 1/3
B) 2/3
C) 2/5
D) 3/5
E) 4/5

Solution: Explanation:   By the rule of alligation, we have:   So, ratio of 1st and 2nd quantities = 7 : 14 = 1 : 2   Required quantity replaced =2/3.   ANSWER IS 2/3
Answer: B
Find the odd man out. 1050, 510, 242, 108, 46, 16, 3 Answers:  A) 46  B) 106  C) 510  D) 108  E) None of these

Solution: Explanation :   1050   (1050 - 30)/2= 
(1050 - 30)/2 = 510
510   (510 - 26)/2= 
(510 - 26)/2 = 242
242   (242 - 22)/2= 
(242 - 22)/2 = 110
110   (110 - 18)/2= 
(110 - 18)/2 = 46
46   (46- 14)/2= 
(46- 14)/2 = 16
16   (16- 10)/2= 
(16- 10)/2 = 3
3   Hence, 110 should have come in place of 108. Answer : Option 108
Answer: D
Mangala completes a piece of work in 20 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is  Pick one.
A) 4 days  B) 6 days  C) 13.33 days  D) 10 days  E) 11 days

Solution: If A can complete a work in x days and B can complete the same work in y days, then, both   of them together can complete the work in x y/ x+ y days.   That is, the required No. of days = 20 × 40/60 = 13.33 days.   Answer : 13.33 days
Answer: C
From the set of numbers {p, t, u, v, w, x, y, z}, how many different combinations can we have without the t in them? Ex:. (x,y), (x), (w,z,y,x), etc... and note that (x,y)=(y,x)	Choose the correct choice from the following answers:
A) 32	B) 63	C) 64	D) 127	E) 128

Solution: Any letter (p, u, v, w, x, y, z) can be included or not.   Thus there are 2^7 combinations - 1 empty combination = 127 combinations   The answer is 127.
Answer: D
How much 60% of 50 is greater than 40% of 30?
Pick one:	A) 18	B) 99	C) 77	D) 66	E) 12

Solution: (60/100) * 50 – (40/100) * 30   30 - 12= 
30 - 12 = 18
18ch 60% of 50 is greater than 40% of 30?   18nswer:18
Answer: A
In a Private Company 20 Nos. staffs are employed. In a Festival season their Boss give festival allowance to all. He says his accountant to calculate for 30 days @ 100. Also he says balance payment will give to driver and cleaning staff and to be adjust from petty cash. He had given Rs.65000/- to the accountant. How much amount will taken from Petty cash?	Choose the correct option:
A) A)1000 B) B)3000 C) C)3500 D) D)2500 E) E)2250

Solution: For 20 staffs: 300*100*20 = 60000   for driver and cleaning staff: 300*100*2 =6000   From petty Cash : 1000   1000nswer is 1000 1000nswer is 1000
Answer: A
How many triangles can be formed by joining vertices of a hexagon?  Choose one:
A) 20 B) 30 C) 40 D) 60 E) 10

Solution: One triangle is formed by selecting group of three vertices from 6 vertices of a hexagon.This can be done in 6C3 ways. ie) 6!/3!x3!=20 ways. 20ns : 20
Answer: A
A student chose a number, multiplied it by 2, then subtracted 138 from the result and got 104. What was the number he chose?
Pick: A) 123 B) 121 C) 277 D) 267 E) 120

Solution: Let xx be the number he chose, then   2â‹…xâˆ’138=104 2â‹…xâˆ’138=104   x=121   Answer:121
Answer: B
What is the next number of the following sequence
8, 24, 12, 36, 18, 54 (...)
Answers
A) 30 B) 32 C) 34 D) 36 E) 38

Solution: The series is   4*4= 
4*4 = 16
16   16/2= 
16/2 = 8
8   8*4= 
8*4 = 32
32   32/2= 
32/2 = 16
16   16*4= 
16*4 = 64
64   64/2= 
64/2 = 32
32   ANSWER: 32
Answer: B
What is the total number of W integers between 100 and 200 that are divisible by 3?
Choose the correct option: A) 33 B) 32 C) 31 D) 30 E) 29

Solution: yes there is a different way of arriving at that answer ....   u can also use arithmetic progression to get the answer   since the first term to be divisble by 3 is 102 ..take that as A .. the starting no   and since 198 is the last digit to be divisible by 3 take that as N ...   since the difference is 3 take that as D   no u have to find what term is 198 take that as nth term   the formula for that is N = 33 + (n-1) * d   198 = 102 +(n-1) * 3   from this u get n =33
Answer: A
An old man distributed all the gold coins he had to his two sons into two different numbers such that the difference between the squares of the two numbers is 81 times the difference between the two numbers. How many coins did the old man have?	Choose the correct choice from the following: A) 24 B) 26 C) 30 D) 81 E) 40

Solution: Let the number of coins one son got be x and the number of coins another got be y. Total = x + y.   x^2 - y^2 = 81(x - y) --> x + y = 81.   Answer: 81.
Answer: D
Which of the following is equal to the cube of a non-integer? Choose the correct choice from the following answers: A) -64 B) -1 C) 8 D) 9 E) 27

Solution: A. -64 -> cube of -4   B. -1 -> cube of -1   C. 8 -> cube of 2   D. 9   E. 27 -> cube of 3   All other options are cubes of integers except 9. 9 will be the cube of a number slightly greater than 2 since the cube of 2 is 8.   Answer (9)
Answer: D
The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes? Options:  A) 15  B) 66  C) 77  D) 52  E) 42

Solution: 90 * 10/60= 
90 * 10/60 = 15
15 kmph   15nswer:15
Answer: A
The fourth proportional to 5, 8, 15 is:	Pick:
A) 15 B) 5 C) 24 D) 8 E) 28

Solution: Let the fourth proportional to 5, 8, 15 be x.   Then, 5 : 8 : 15 : x   = 5x = (8 x 15)   x = (8 x 15)/5= 24.   Answer is 24.
Answer: C
If the tens digit of positive integer x is 4 and the tens digit of positive integer y is 4, how many possible values of the tens digit of 2(x+y) can there be? Choose the most appropriate option.
A) 2 B) 3 C) 4 D) 5 E) 6

Solution: We only need to consider the tens and ones digits of x and y, and the last two digits can be represented as 40 + p and 40 + q respectively.   2(40+p+40+q)= 160 + 2(p + q)   2(p+q) can range from 0 up to a maximum value of 36 when p=q=9.   Then the tens and ones digits of 2(x+y) can range from 60 up to 96.   There can be 4 possibilities for the tens digit.   The answer is 4.
Answer: C
Sophia finished 23 of a book. She calculated that she finished 90 more pages than she has yet to read. How long is her book?	Pick: A) 180 B) 200 C) 250 D) 270 E) 300

Solution: Let x be the total number of pages in the book, then she finished 23⋅x pages.   Then she has x−23⋅x=13⋅x pages left.   23⋅x−13⋅x=90   13⋅x=90   x=270.   So answer is 270.
Answer: D
How many seconds will a 300 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr? Choose the correct answer.
A) 11	B) 30	C) 99	D) 88	E) 18

Solution: Speed of train relative to man = 63 - 3= 
63 - 3 = 60
60 km/hr.= 60 * 5/18 = 50/3 m/sec.   Time taken to pass the man = 300 * 3/50= 
300 * 3/50 = 18
18 sec.   Answer: 18
Answer: E
Evaluate 28% of 450 + 45% of 240  Choices
A) 232	B) 242	C) 252	D) 262	E) 234

Solution: 234xplanation:   = (28/100) * 450 + (45/100) * 240   = 126 + 108= 
126 + 108 = 234
234   Answer: Option 234
Answer: E
There are 10 people in a room. If each person shakes hands with exactly 3 other people, what is the total number of handshakes? Choose the correct choice from the following answers
A) 15	B) 30	C) 45	D) 60	E) 120

Solution: 4 people: shrive 555, cranky, karishma and Mr X   We have to shake hands in this group such that each person shakes hands with 3 people.   So shrive555 starts:   shrive555 - craky : 1 handshake but 2 hands were shaken. shrive 555's and cranky's   shrive 555 - karishma : 1 handshake but 2 hands were shaken. shrive 555's and karishma's   shrive 555 - Mr X : 1 handshake but 2 hands were shaken. shrive 555's and Mr X's   Now shrive 555 has shaken hands with 3 people. There were 3 handshakes. But 6 hands were shaken.   Now, when all 4 of us shake hands with 3 people, each person's hand will be shaken 3 times. i.e. in all 12 hands will be shaken. But they will add up to only 6 handshakes.   The other 3 handshakes will be:   cranky - karishma   cranky - Mr X   karishma - Mr X   So all of us have shaken hands with exactly 3 people.   Similarly when there are 10 people, each person shakes his hand 3 times. So in all 30. But 2 of these hands combined to make one handshake. So we will get only 15 total handshakes.   15NSWER:15
Answer: A
A farmer divides his herd of x cows among his 4 sons so that one son gets one half of the herd, the second gets one-fourth, the third gets one-fifth and the fourth gets 7 cows. Then x is equal to
Select:  A) 100  B) 140  C) 180  D) 160  E) 120

Solution: no. of cows:: x   1st son: x/2   2nd son: x/4   3rd son: x/5   4th son: 7   (x)+(x/4)+(x/5)+7=x   => x - (19x/20)=7   => (20x-19x)/20=7   => x =140   ANSWER:140
Answer: B
Which of the following is closest to (5!-4!)/(5!+4!)?
Choose the most appropriate option
A) 0.01  B) 0.1  C) 0.2  D) 0.7  E) 10

Solution: (5!-4!)/(5!+4!)   4! (5-1)/4! (5+1)   4/6 = 2/3 =0.7 (approximately)   0.7 is the answer
Answer: D
Given that -1 ≤ v ≤ 1, -2 ≤ u ≤ -0.5, and -2 ≤ z ≤ -0.5 and w = vz/u, then which of the following is necessarily true ?  Choices:
A) -0.5 ≤ w ≤ -2	B) -4 ≤ w ≤ 4	C) -4 ≤ w ≤ 2	D) -2 ≤ w ≤ -0.5	E) None of these

Solution: Explanation :   u is always negative. Hence, for us to have a minimum value of vz/u , vz should be positive.   Also for the least value, the numerator has to be the maximum positive value and the denominator has to be the smallest negative value. In other words, vz has to be 2 and u has to be –0.5.   Hence the minimum value of vz/u = 2−0.5 = –4.   For us to get the maximum value, vz has to be the smallest negative value and u has to be the highest negative value.   Thus, vz has to be –2 and u has to be –0.5. Hence the maximum value of vz/u = 2 / -0.5 = 4.   Answer : -4 ≤ w ≤ 4
Answer: B
How many six-digit numbers are there such that all six digits are different and the first digit is not zero?	Choose the correct choice from the following options.
A) 472392 B) 648421 C) 720756 D) 729951 E) 810364

Solution: All six digits are different and first digit is not zero.   So first digit can be filled in 9 ways.   And, second digit can be filled in 9 ways.   And, third digit can be filled in 9 ways.   And, fourth digit can be filled in 9 ways.   And, fifth digit can be filled in 9 ways.   And, sixth digit can be filled in 8 ways.   Total ways = 9*9*9*9*9*8= 
9*9*9*9*9*8 = 472_392
472392   Hence option (472392).
Answer: A
Tickets numbered from 1 to 20 are mixed and then a ticket is selected randomly. What is the probability that the selected ticket bearsa number which is a multiple of 3?	Choose the most appropriate option:	A) 1/11	B) 2/13	C) 3/10	D) 4/15	E) 5/16

Solution: Here, S = [1, 2, 3, 4, …., 19, 20]   Let E = event of getting a multiple of 3 = [3, 6, 9, 12, 15, 18]   P (E) = n (E) / n (S) = 6 / 20 = 3/10   3/10
Answer: C
You have been given a physical balance and 7 weights of 52, 50, 48, 44, 45, 46 and 78 kgs. Keeping weights on one pan and object on the other, what is the maximum you can weigh less than 183 kgs.  Pick.
A) 180	B) 181	C) 182	D) 183	E) 184

Solution: 52+50+78= 
52+50+78 = 180
180   180nswer: 180
Answer: A
In the class of 40 students, 30 speak Hindi and 20 speak English. What is the lowest possible number of students who
speak both the languages?	Choose the correct choice
A) 10
B) 15
C) 20
D) 25
E) 30

Solution: let the student who speaks hindi-x   let the student who speaks english-y   as (xuy)-(xny)=total   30+20-(xny)=40   =10   10)
Answer: A
Find the next number in the Sequence
5, 14, 41, 86, ?
Choose the correct choice from the following choices
A) 146
B) 145
C) 149
D) 143
E) 148

Solution: +9 =>14   +27 =>41   +45 =>86   +63 =>149   Answer is 149
Answer: C
Choose the missing terms out of the given alternatives.
AZ, GT, MN, ?, YB Select:
A) KF  B) RX  C) TS  D) FM  E) SH

Solution: E   SH   First letter moves 6 steps forward. Second letter moves 6 steps backward.
Answer: E
The diameter of the driving wheel of a bus in 140 cm. How many revolutions per minute must the wheel make in order to keep a speed of 33 kmph?
Options.
A) 210	B) 220	C) 125	D) 240	E) 250

Solution: distance covered in 1 min=(33*1000)/60= 
(33*1000)/60 = 550
550m   circumference of the wheel=(2*(22/7)*.70)= 
(2*(22/7)*.70) = 4.4
4.4m   no of revolution per min=550/4.4= 
550/4.4 = 125
125   ANSWER:125
Answer: C
In an election between two candidates, one got 45% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 2000, the number of valid votes that the other candidate got, was:
Choose the correct choice from the following choices:  A) 1500  B) 4500  C) 3270  D) 1100  E) 4000

Solution: Number of valid votes = 80% of 2000= 1600.   Valid votes polled by other candidate = 55% of 2000   =(55/100)X2000 =1100   ANSWER =1100
Answer: D
If four coins are tossed, the probability of getting two heads and two tails is  Pick one:
A) 3/8
B) 3/9
C) 3/6
D) 3/1
E) 3/3

Solution: Explanation:   Since four coins are tossed, sample space = 24   Getting two heads and two tails can happen in six ways.   n(E) = six ways   p(E) = 6/24 = 3/8   3/8nswer:3/8
Answer: A
A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.55 more he would have had a profit of 40%. The cost price of the article is___  Choices
A) 125
B) 150.5
C) 112.5
D) 113
E) None

Solution: now x is CP   sold it at a loss of 10%=90x/100=9x/10   bought it for 20% less=80x/100=4x/5   profit 40%of 4x/5=140x/100*4x/5=56x/50   56x/50-9x/10=55rs   560x-450x/500=55rs   110x/500=55rs   x=500*55/110   x=27500/110= 
27500/110 = 250
250   x=250   ANSWNoneR:None
Answer: E
A can do a job in 30days and B in 40days. If they work on it together for 10 days, then the fraction of the work that is left is?  Select:
A) 2/11
B) 3/13
C) 5/12
D) 7/10
E) 6/15

Solution: A's 1 day work = 1/30   B's 1day work = 1/40   A+B 1day work = 1/30 + 1/40  +  1= 
 +  1 = 1
1/30 + 1/40= 7/120   A+B 4days work = 7/120*10 = 7/12   Remaining work = 1 - 7/12 = 5/12   Answer is 5/12
Answer: C
A motor cycle is moving with the speed of 47.52 km/hr and the radius of the wheel of the motorcycle is 21 cms. Calculate the approximate no of revolutions made by the wheel in one minute. Choose the correct choice:
A) 400 rpm  B) 500 rpm  C) 600 rpm  D) 700 rpm  E) 800 rpm

Solution: Given Speed = 47.52 km/h = 47.52 * 1000/60 m/s   = 792 metre/minute   the radius of the wheel of the motorcycle = 21 cm   circumference of the wheels = 2*22/7*21= 
2*22/7*21 = 132
132cm= 1.32 m   Number of revolutions made by the wheel in one minute   = Speed (in metre/minute)/circumference(in m)   = 792/1.32= 
792/1.32 = 600
600   So no of revolutions made by the wheel in one minute will be 600   ANSWER:600 rpm
Answer: C
Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.2700. How much third person will get?	Pick:
A) 2400  B) 2429  C) 2980  D) 1200  E) 2872

Solution: First persons investment = x   Second persons investment = x + 1000   Third persons investments = x + 2000   x + x + 1000 + x + 2000 = 9000   3x = 6000   x = 2000   Ratio = 2000 : 3000 : 4000   2:3:4   4/9 * 2700= 
4/9 * 2700 = 1_200
1200   Answer:1200
Answer: D
A car takes 6 hours to cover a distance of 469 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time? Choose the correct choice from the following answers.
A) 48 Kmph B) 50 Kmph C) 52 Kmph D) 56 Kmph E) 60 Kmph

Solution: Time = 6   Distence = 469   3/2 of 6 hours = 6 * 3/2= 
6 * 3/2 = 9
9 Hours   Required speed= 469/9 = 52 Kmph   52 Kmph
Answer: C
when W is divided by 14, the reminder is 0. if W is three lesser than it value and when divided by 5 its remainder is 0. what is the value of W ?  Answers.
A) 14	B) 28	C) 42	D) 45	E) 33

Solution: W is divided by 14 so that is multiple of 14 as 14,28,42...   W-3 is divided by 5 the remainder is 0 so it is divisible by 5. Consider from option let us take the number is 14 it is divisible by 14 but 14-3 is not divisible by 5 so it is not answers so let us take 2nd option 28 which is divisible by 14 and   28-3= 
  28-3 = 25
25 is divisible by 5 so ans is 28
Answer: B
Sarah signed 1/2 of the Christmas cards, and Richard signed 3/8 of them. If there are 32 cards in
all, how many are left to be signed?
Options:  A) 6  B) 7  C) 4  D) 9  E) 2

Solution: 1/2 x 32 = 16 Sarah signed   3/8 x 32 = 12 Richard signed   16 + 12= 
16 + 12 = 28
28 are signed     32 - 28= 
  32 - 28 = 4
4 cards left to be signed   correct answer 4
Answer: C
The population of a city is 8000. It decreases annually at the rate of 20% p.a. What will be its population after 2 years?  Choose the correct answer:
A) 1000 B) 1200 C) 1250 D) 3000 E) 5120

Solution: Formula :   ( After =100 denominator   Ago = 100 numerator)   8000 × 80/100 × 80/100 = 5120   5120
Answer: E
A man buys an article for Rs. 27.50 and sells it for Rs 28.60. Find his gain percent  Options: A) 1% B) 2% C) 3% D) 4% E) 5%

Solution: Explanation:   So we have C.P. = 27.50   S.P. = 28.60   Gain = 28.60 - 27.50 = Rs. 1.10   Gain%=(GainCost∗100)%=(1.1027.50∗100)%=4%   ANSWER IS 4%
Answer: D
What is the ratio between perimeters of two squares one having 3 times the diagonal then the other?
Choose the correct choice from the following choices.
A) 3: 5
B) 3: 9
C) 3: 4
D) 3: 1
E) 3: 2

Solution: d = 3d d = d   a√2 = 3d a√2 = d   a = 3d/√2 a = d/√2 => 3: 1   Answer: 3: 1
Answer: D
A part-time employee’s hourly wage was increased by 40%. She decided to decrease the number of hours worked per week so that her total income did not change. By approximately what percent should the number of hours worked be decreased? Choose the correct choice from the following:
A) 9%
B) 15%
C) 29%
D) 50%
E) 100%

Solution: Let's plug in somenicenumbers and see what's needed.   Let's say the employee used to make $1/hour and worked 100 hours/week   So, the TOTAL weekly income was $100/week   After the 40% wage increase, the employee makes $1.40/hour   We want the employee's income to remain at $100/week.   So, we want ($1.40/hour)(new # of hours) = $100   Divide both sides by 1.40 to get:   new # of hours = 100/1.40   ≈ 71 hours   So, the number of hours decreases from 100 hours to (approximately) 71 hours.   This represents a 29% decrease (approximately) .   Answer : 29%
Answer: C
A reduction of 15% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?  Choose the correct answer:	A) s.24	B) s.46	C) s.40	D) s.41	E) s.34

Solution: 800*(15/100)= 
800*(15/100) = 120
120 ---- 5   ? ---- 1=> Rs.24   s.24nswer: s.24
Answer: A
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
Choose the correct choice from the following answers:
A) 8 min
B) 5 min
C) 10 min
D) 14 min
E) 18 min

Solution: Due to stoppages, it covers 9 km less.   Time taken to cover 9 km = (9/54 x 60) min = 10 min   Answer : 10 min
Answer: C
In an election, candidate Smith won 52 percent of the total vote in Counties A and B. He won 61 percent of the vote in County A. If the ratio of people who voted in County A to County B is 3: 1, what percent of the vote did candidate Smith win in County B?  Answers
A) 25%
B) 27%
C) 34%
D) 43%
E) 49%

Solution: Given voters in ratio 3:1   let 25% has 300 voters & B has 100 voters   for 25% 61% voted means 61*300=183 votes   combined for 25% & B has 400 voters and voted 52% so total votes =208   balance votes=208-183= 
208-183 = 25
25   25%s B has 100 voters so 25 votes means 25% of votes required   25%nswer: 25%
Answer: A
How many cubes will have 4 coloured sides and two non-coloured sides ?  Choose the correct option: A) 5 B) 4 C) 3 D) 2 E) 1

Solution: Only 4 cubes situated at the corners of the cuboid will have 4 coloured and 2 non-coloured sides.   ANSWER 4
Answer: B
The average of 2,7,6 and x is 5 and the average of 18,1,6,x and y is 10. What is the value of y? Choose the correct choice from the following:
A) 5
B) 10
C) 20
D) 30
E) 40

Solution: We have : ( 2+7+6+x)/4 = 5 or 15+x =20 or x = 5   Also (18+1+6+x+y)/5 = 10, 25+5+y = 50, y =20   ANSWER:20
Answer: C
The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is? Answers
A) 388  B) 277  C) 245  D) 288  E) 288

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
Answer: C
Jill bought items costing $3.45, $1.99, $6.59, and $12.98. She used a coupon worth $2.50.
If Jill had $50.00 when she went into the store, how much did she have when she left? Choose the correct answer:
A) $17.49
B) $27.49
C) $37.49
D) $57.49
E) $47.49

Solution: $3.45 + $1.99 + $6.59 + $12.98 = $25.01   $25.01 - $2.50 3.45 +  1.99 +  6.59 +  12.98= 
3.45 +  1.99 +  6.59 +  12.98 = 25.01
$25.01   $25.01 - $2.50 = $22.51   $50.00 - $22.51  25.01 -  2.50= 
 25.01 -  2.50 = 22.51
$22.51   $50.00 - $22.51 = $27.49 is money left   correct answer $27.49 50.00 -  22.51= 
 50.00 -  22.51 = 27.49
$27.49 is money left   correct answer $27.49
Answer: B
A train running at the speed of 60 km/hr crosses a pole in 21 sec. What is the length of the train?  Choose the correct answer.
A) 535 m
B) 178 m
C) 186 m
D) 350 m
E) 150 m

Solution: Speed = 60 * 5/18   = 50/3 m/sec   Length of the train   = speed * time   = 50/3 * 21= 
50/3 * 21 = 350
350 m   Answer:350 m
Answer: D
Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 50 percent of those who attended the meeting were stockholders and 65 percent were employees, what percent were stockholders who were not employees? Choose the correct choice from the following answers:
A) 31  B) 32  C) 33  D) 34  E) 35

Solution: 50+65= 
50+65 = 115
115 so 15% were both stockholders and employees.   The percent who were stockholders but not employees is  50-15= 
 50-15 = 35
35%   The answer is 35.
Answer: E
A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is: Answers:
A) 42
B) 43
C) 46
D) 47
E) 49

Solution: A   42   After 10 days : 150 men had food for 35 days.   Suppose 125 men had food for x days.   Now, Less men, More days (Indirect Proportion)   125 : 150 :: 35 : x 125 x x = 150 x 35   x = (150 x 35)/125   x = 42
Answer: A
A man covers a distance on scooter. Had he moved 3kmph faster he would have taken 40 min less. If he had moved 2kmph slower, he would have taken 40min more. The distance is. Pick one.
A) 30 km	B) 40 kilometre	C) 45 km	D) 50 km	E) 55 km

Solution: Let distance = x m   Usual rate = y kmph   x/y – x/y+3 = 40/60 hr   2y(y+3) = 9x ---------------------------------(1)   x/y-2 – x/y = 40/60 hr y(y-2) = 3x -----------(2)   divide 1 & 2 equations   by solving we get x = 40 km   Answer : 40 kilometre.
Answer: B
After decreasing 90% in the price of an article costs Rs.320. Find the actual cost of an article?	Choose the correct choice from the following answers:	A) 2777	B) 2987	C) 3200	D) 9977	E) 1671

Solution: 3200P* (10/100) = 320   3200P3200 * (10/100)= 
3200 * (10/100) = 320
320   3200P= 32* 100= 
32* 100 = 3_200
> 3200P= 3200   Answer: 3200
Answer: C