MU-NLPC/Calc-aqua_rat huggingface dataset:
If a new town has 250 residents, and the population doubles every 10 years, what will be its population after 75 years?  Choose the correct choice from the following.
A) 6034 residents	B) 9051 residents	C) 45255 residents	D) 15075 residents	E) 18102 residents

Solution: 250*2^(75/10)=250*2^7.5=100*181.02=45255   The answer is 45255 residents.
Answer: C
The cost price of a radio is Rs.1500 and it was sold for Rs.1260, find the loss %?
Choices:
A) 18  B) 16  C) 26  D) 17  E) 11

Solution: Explanation:   1500 ---- 240   100 ---- ? => 16%   Answer:16
Answer: B
The odds in favour of an event A are 3:4.The odds against anotehr independent event B are 7:4. What is the probability that at least one of the events will happen ?  Choose the correct answer:  A) 1/11  B) 7/11  C) 6/11  D) 8/11  E) None of these

Solution: Explanation :   The odds in favour of an event A are 3:4.   => Probability of A = P(A) = 3/(3+4) = 3/7.   The odds against an event B are 7 : 4.   => Probability of B = P(B) = 4/(7+4) = 4/11.   The probability of occurrence of at least one of the events A and B,   P(A+B) = P(A) + P(B) - P(AB).   =>P(A+B) = P(A) + P(B) - P(A) x P(B).   => (3/7) + (4/11) - (3/7)(4/11).   => 7/11.   Hence, the required probability is 7/11.   Answer : 7/11
Answer: B
Each of the integers from 1 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10?  Choose the correct choice from the following answers
A) 3 B) 4 C) 5 D) 6 E) 7

Solution: Answer is 6. In the worst case, you could end up drawing 1,2,3,4,5. 7th draw will result in either of 6,7,8,9 which would result in the numbers adding to 10.   6
Answer: D
Jacob is 12 years old. He is 4 times as old as his brother. How old will Jacob be when he is twice as old?
Choose the correct choice from the following answers.
A) 13	B) 14	C) 15	D) 16	E) 18

Solution: j=12;   j=4b;   b=12/4= 
12/4 = 3
3;   twice as old so b=3(now)+(3)=6;   jacob is  12+6= 
 12+6 = 18
18   ANSW18R:18
Answer: E
A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:  Pick one:
A) 3 p.m. B) 6 p.m. C) 7 p.m. D) 4 p.m. E) 5 p.m.

Solution: Time from 7 a.m. to 4.15 p.m. = 9 hrs 15 min. =	37/4 hrs.   3 min. 5 sec. of this clock = 3 min. of the correct clock.   37/720 hrs of this clock =	1/20	hrs of the correct clock.   37/4	hrs of this clock = 1/20 x 720/37 x 37/4 hrs of the correct clock.   = 9 hrs of the correct clock.   The correct time is 9 hrs after 7 a.m. i.e., 4 p.m.   Answer 4 p.m.
Answer: D
The mean of 1^2,2^2,3^2,4^2,5^2,6^2,7^2 is?  Choose one:
A) 15  B) 18  C) 20  D) 25  E) 30

Solution: 1^2+2^2+3^2+-----+n^2 = n(n+1)(2n+1)/6   1^2+2^2+3^2+-----+7^2 = 7*8*156 = 140   Required average is = 140/7= 
140/7 = 20
20   Answer is 20
Answer: C
The difference in compound interest earned on a deposit (compounded annually) in year 1 and year 2 is $ 40. Had the interest rate been three times its present value, the difference c would have been how much?	Choose one.
A) 40/3
B) 40
C) 120
D) 360
E) 420

Solution: CASE 1:   Deposit = $x;   Rate of increase = r.   Interest yearned in 1 year = xr. Deposit in 1 year = x + xr.   Interest yearned in 2 year = (x + xr)r.   The difference c = (x + xr)r - xr = xr^2 = 40.   CASE 2:   Deposit = $x;   Rate of increase = 3r.   Interest yearned in 1 year = x(3r). Deposit in 1 year = x + 3xr.   Interest yearned in 2 year = (x + 3xr)3r.   The difference = (x + 3xr)3r - 3xr = 9xr^2. Since from CASE 1 we know that xr^2 = 40, then 9xr^2 = 9*40= 
9*40 = 360
360.   Answer: 360.
Answer: D
A standard Veggiematik machine can chop 32 carrots in 4 minutes. How many carrots can 6 standard Veggiematik machines chop in 6 minutes?
Choose the correct choice from the following:	A) 36	B) 54	C) 288	D) 108	E) 324

Solution: Direct Relationship:-   1 standard Veggiematik machine - 32 288arrots - 4 minutes,   1 standard Veggiematik machine - 8 288arrots - 1 minute,   Now   6 standard Veggiematik machine - ? 288arrots - 6 minutes,   Hence = 8X6X6 =288 288arrots   Answer 288
Answer: C
What is the area of the square with the following coordinates: (x, y), (20, 20), (20, 11), (x, 11)?	Choose one.
A) 49 B) 64 C) 75 D) 81 E) 96

Solution: To find the area of a square, knowing the length of one side is sufficient.   From the coordinates given, we can see that one side equals 9.   The area is 9*9= 
9*9 = 81
81.   The answer is 81.
Answer: D
If,
1 * 3 * 5 = 16
3 * 5 * 7 = 38
Then find,
5 * 7 * 9 =?  Pick one:  A) 89  B) 49  C) 68  D) 38  E) 55

Solution: 68   68   (9 * 7) + 5= 
(9 * 7) + 5 = 68
68
Answer: C
The ratio of the present ages of a man and his wife is 8 : 7. Which of the following can't be a possible ratio of their ages 45 years ago?	Pick
A) 6: 8
B) 7: 8
C) 8:8
D) 9: 8
E) 10: 8

Solution: 8x-45/7x-45 = 9/8   Therefore x=-45   Age cannot be negative.   Answer: 9: 8
Answer: D
A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?  Choose the correct choice from the following answers.
A) 189m
B) 180m
C) 100m
D) 480m
E) 1860m

Solution: Length of the train be ‘X’   X + 120/15 = X + 180/18   6X + 720 = 5X + 900   X = 180m .Answer: 180m
Answer: B
The average age 9 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
Answers.
A) 18  B) 99  C) 77  D) 26  E) 12

Solution: 9 * 2= 
9 * 2 = 18
18 years   18nswer: 18
Answer: A
In how many ways can three boys can be seated on five chairs?  Choose the correct choice from the following answers.
A) 10	B) 20	C) 60	D) 40	E) 55

Solution: There are three boys.   The first boy can sit in any of the five chairs (5 ways).   5   Now there are 4 chairs remaining. The second boy can sit in any of the four chairs (4 ways).   5	4   Now there are 3 chairs remaining. The third boy can sit in any of the three chairs (3 ways).   5	4	3   Hence, total number of ways in which 3 boys can be seated on 5 chairs   =5×4×3=60   Ans: 60
Answer: C
A full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet. Oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck's tank is completely filled. If the truck's tank has a radius of 7 feet and a height of 10 feet, how far (in feet) did the oil level drop in the stationary tank? Select.
A) 0.07
B) 0.049
C) 0.7
D) 0.49
E) 4.9

Solution: The volume of oil pumped to the tank = The volume of oil taken away from stationary cylinder.   pi*49*10 = pi*h*100*100 (h is distance that the oil level dropped)   h = 490/10,000 = 49/1000= 
49/1000 = 49/1_000 = around 0.049
0.049 ft   The answer is 0.049.
Answer: B
The ratio of the ages of Ragul and Vicky is 3 : 6. The total of their ages is 2.7 decades. The proportion of their ages after 0.3 decades will be
[1 Decade = 10 years] Answers:
A) 4:7
B) 3:4
C) 4:5
D) 7:9
E) 3:6

Solution: Let,Ragul’s age = 34:7 and Vicky’s age = 64:7   Then 34:7 + 64:7 = 27   4:7 = 3   Ragul’s age = 9 years   and Vicky’s age = 18 years   Proportion of their ages after 3 is = (9 + 3) : (18 + 3)   = 12 : 21   = 4 : 7   4:7nswer : 4:7
Answer: A
If x is an integer, then x(x - 1)(x - l) must be evenly divisible by three when l is any of the following values EXCEPT
Choose the correct choice from the following.
A) -4
B) -2
C) -1
D) 2
E) 5

Solution: if we put l=-1 we get:   X(x-1)(X+1) rearrange:(x-1)X(X+1)   so it looks like a sequenc,   if we assume that X =2 and put number from the answer then we get:   (x – 1)x(x – l)   l=5 =1.2.-3   l=2 =1.2.0   l=-1 =1.2.3   l=-4 =1.2.6   but when we put   l=-2 =1.2.4 not satisfied   so,answer is -2
Answer: B
In a certain city, 60% of the registered voters are democrats and the rest are republicans.In a mayoral race, if 65% of the registered voters who are democrats and 20% of the registered voters who are republicans are expected to vote for candidate A,What % of the registered voters are expected to vote for candidate A?	Pick one.
A) a) 50%
B) b) 53%
C) c) 54%
D) d) 55%
E) e) 57%

Solution: Let total voters = 100   so D= 60, vote for the mayor 60*75%=45 (60*3/4)   R= 40, vote for the mayor 40*20%= (40*1/5)   45+8= 
45+8 = 53
53   53/100*100=50%   a) 50%
Answer: A
If a#b = ab – b + b^2, then 3#7 =  Choose the correct answer
A) 2 B) 63 C) 15 D) 21 E) 35

Solution: Solution -   Simply substitute 3 and 7 in equation in the place of a and b respectively.   3#7 = 3*7 - 7 + 7^2 = 21 - 7 + 49= 
21 - 7 + 49 = 63
63. ANS 63
Answer: B
John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of number is?  Pick:
A) 50
B) 60
C) 75
D) 80
E) 85

Solution: (x+x1+...x14)/15 = 40   50   Option 50
Answer: A
Rahul went to a shop and bought things worth Rs. 25, out of which 24 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?	Choose the correct choice from the following options:  A) 19  B) 19.7  C) 20.7  D) 21.7  E) 22.8

Solution: Total cost of the items he purchased = Rs.25   Given that out of this Rs.25, 24 Paise is given as tax   => Total tax incurred = 24 Paise = Rs.24/100   Let the cost of the tax free items = x   Given that tax rate = 6%   ∴ (25−30/100−x)6/100 = 24/100   ⇒ 6(25 −0.3 −x) = 24   ⇒ (25 − 0.3 − x) = 4   ⇒ x = 25 − 0.3 − 4 = 20.7   20.7)
Answer: C
A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest. What is the rate of interest?  Pick.
A) 3%
B) 4%
C) 5%
D) 6%
E) 7%

Solution: S.I. = Rs. (15500 - 12500) = Rs. 3000.   Rate =(100 x 3000)/(12500 x 4)%	= 6%   answer :6%
Answer: D
If a and b are different positive integers and a + b+1 = a(a + b), then which of the following must be true?
I. a = 1
II. b = 1
III. a < b
Choose the correct answer:
A) I only
B) II only
C) III only
D) I and II
E) I and III

Solution: Number picking might not be the best way to solve MUST BE TRUE questions.   The question asks which of the followingMUSTbe true, or which of the following isALWAYStrue no matter what set of numbers you choose. For such kind of questionsif you can prove that a statement is NOT truefor one particular set of numbers, it will mean that this statement is not always true and hence not a correct answer.   So the set you chose just proves that II is not always true and hence it's not a part of a correct choice. As for I and III: they might be true for this particular set of numbers but not true for another set, so you can not say that I and III are always true just based on one set of numbers (it just happens to be that I and III are always true).   As forCOULD BE TRUEquestions:   The questions asking which of the followingCOULDbe true are different:if you can prove that a statement is truefor one particular set of numbers, it will mean that this statement could be true and hence is a correct answer.   I and II
Answer: D
If P is a prime number greater than 5, what is the remainder when P^2 is divided by 6.
Choose the correct choice from the following options
A) 4  B) Cannot be determined  C) 2  D) 6  E) 1

Solution: take square of any prime number   remainder will be 1   Ans 1
Answer: E
The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Rs 1. Find the sum	Choose the most appropriate option:
A) Rs 600	B) Rs 625	C) Rs 650	D) Rs 675	E) None of these

Solution: Explanation:   Let the Sum be P   S.I.=P∗4∗2 /100=2P/25   C.I.=P(1+4/100)2−P   =676P/625−P   =51P/625   As, C.I. - S.I = 1   =>51P/625−2P/25=1   =>51P−50P/625=1   P=625   Option Rs 625
Answer: B
A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?	Select the correct option:	A) 111.12 m	B) 111.72 m	C) 111.15 m	D) 116.12 m	E) 111.32 m

Solution: A runs 1000 m while B runs 900 m and C runs 800 m.   The number of meters that C runs when B runs 1000 m,   = (1000 * 800)/900 = 8000/9 = 888.88 m.   B can give C = 1000 - 888.88= 
1000 - 888.88 = 111.12
111.12 m.   111.12 mnswer:111.12 m
Answer: A
850 students took the test on English and Maths. 35% students failed in english and 45% failed in maths. 40% of those who passed in maths also passed in english, then how many students failed in both ?
Select the correct option:  A) 17  B) 138  C) 60  D) 38  E) 12

Solution: Passed in english = 65%   Passed in maths = 55%   Passed in both = 40% of 55% = 2/5 * (55%) = 22%   Passed in (English + Maths - Both + Neither) 2/5 * (55 )= 
2/5 * (55 ) = 22
22%   Passed in (English + Maths - Both + Neither)= 100%   65 + 55 - 22 + Neither = 100   Neither = 100 - 98= 
100 - 98 = 2
2%= 0.02 * 850= 
0.02 * 850 = 17
17   17nswer: 17
Answer: A
X can do a piece of work in 40 days. He works at it for 8 days and then Y finished it in 16 days how long will they work together take to complete the work?
Choose the correct choice from the following choices.
A) 13 1/3 B) 15 C) 20 D) 56 E) 57

Solution: Explanation:   Work done by x in 8 days= 8/40 = 1/5   remaining work= 4/5   4/5 work is done by Y in 16 days   whole work is done by Y in   16*5/4= 
  16*5/4 = 20
20 days   X’s 1 day work=1/40   Y’s 1 day work =1/20   (X+Y)’s 1 day work=1/40 +1/20 = 3/40 = 13 1/3   13 1/3nswer: Option 13 1/3
Answer: A
A man engaged a servant on the condition that he would pay him Rs.900 and a uniform after one year service. He served only for 9 months and received uniform and Rs.650, find the price of the uniform?  Choose the correct choice from the following answers:
A) 377
B) 197
C) 187
D) 100
E) 822

Solution: Explanation:   9/12 = 3/4 * 900= 
3/4 * 900 = 675
675   650   -------------   25   1/4 -------- 25   1 --------- ?=> Rs.100   Answer: 100
Answer: D
A man can row his boat with the stream at 16 km/h and against the stream in 8 km/h. The man's rate is?  Options
A) 4 kmph  B) 2 kmph  C) 7 kmph  D) 8 kmph  E) 3 kmph

Solution: DS = 16   US = 8   S = ?   S = (16 - 8)/2= 
(16 - 8)/2 = 4
4 kmph   4 kmphnswer:4 kmph
Answer: A
A man’s speed with the current is 18 km/hr and the speed of the current is 2.5 km/hr. the man’s speed against the current is : Select the correct option
A) 8.5 km/hr  B) 9.5 km/hr  C) 13 km/hr  D) 12.5 km/hr  E) None of these

Solution: Solution   Man's rate in still water = (18-2.5) km/hr = 15.5 km/hr.   Man's rate against the current = (15.5-2.5) km/hr = 13 km/hr Answer 13 km/hr
Answer: C
130kg of an alloy A is mixed with 160 kg of alloy B. If alloy A has lead and tin in the ratio 2:3 and alloy B has tin and copper in the ratio 3:4, then the amount of tin in the new alloy is?
Choose the correct choice from the following choices
A) 140.6kg	B) 145.3kg	C) 146.5kg	D) 110.8kg	E) 114kg

Solution: Quantity of tin in 130kg of A = 130*3/5= 
130*3/5 = 78
78kg   Quantity of tin in 160kg of B= 160*3/7 = 68.5kg   Quantity of tin in the new alloy = 78+68.5= 
78+68.5 = 146.5
146.5kg   Answer is 146.5kg
Answer: C
A train 150 meters long takes 6 seconds to cross a man walking at 5 kmph in the direction opposite to that of the train. Find the speed of the train.  Choose the correct choice from the following answers: A) 45 kmph B) 50 kmph C) 85 kmph D) 60 kmph E) 70 kmph

Solution: Explanation:   Let the speed of the train be x kmph.   Speed of the train relative to man = (x + 5) kmph = (x + 5) ×5/18 m/sec.   Therefore 150/((x+5)×5/18)=6 <=> 30 (x + 5) = 2700 <=> x = 85   Speed of the train is 85 kmph.   Answer: Option 85 kmph
Answer: C
A natural number has exactly 10 divisors including 1 and itself.how many distint prime factors this natural number will have? Pick:
A) 37  B) 29  C) 27  D) 99  E) 11

Solution: Answer:99
Answer: D
If there are 86 workers in a factory, and on a certain day, 72 were present. Calculate the percentage that showed up for work? (round to the nearest tenth).
Pick:
A) 82.7%
B) 81.7%
C) 83.7%
D) 89.7%
E) 88.7%

Solution: 72/86*100=83.72   83.7%   correct answer 83.7%
Answer: C
Anthony and Cindy were each given x dollars in advance to perform at a community festival. Anthony eventually performed on all 14 days of the festival, while Cindy performed on 7 fewer days than Anthony performed. If Cindy gives Anthony y dollars of her advance payment so that they would have each received the same daily rate, what was Anthony paid in advance, in terms of y?  Choose the correct choice from the following answers.
A) 2y	B) 3y	C) 5y	D) 6y	E) 10y

Solution: Anthony performed for 14 days meansw Cindy performed for  (14-7)= 
  (14-7) = 7
7 days.   If Cindy gives y dollars to Anthony their Daily rate will be equal.It means   (x+y)/14=(x-y)/7   Solving we get, x=3y   Now Anthony's Advance is x=3y .So answer should be 3y.
Answer: B
A computer system uses alphanumeric case sensitive characters for its passwords. When the system was created it required users to create passwords having 4 characters in length. This year, it added the option of creating passwords having 5 characters in length. Which of the following gives the expression for the total number of passwords the new computer system can accept?
Assume there are 52 unique alphanumeric case sensitive characters.	Choose the correct choice
A) 63^4
B) 62^5
C) 62(62^4)
D) 53(52^4)
E) 63(62^6)

Solution: Total number of passwords = number of 4 character password +number of 5 character password   = 52^4 + 52^5 (Since there is no limitation on repetition , each character can be chosen in 52 ways )   =52^4(1+ 52)   =52^4 * 53   Answer 53(52^4)
Answer: D
A boat moves upstream at the rate of 1 km in 20 minutes and down stream 1 km in 12 minutes. Then the speed of the current is :	Choose one:	A) 1 kmph	B) 2 kmph	C) 3 kmph	D) 2.5 kmph	E) 3.5 kmph

Solution: Rate upstream = (1/20 *60)= 
(1/20 *60) = 3
3 kmph   Rate dowm stream= 1/12 * 60= 
1/12 * 60 = 5
5 kmph   Rate of the current= ½ (5-3) = 1 kmph   1 kmphNSWER:1 kmph
Answer: A
What decimal of an hour is a second Select:
A) .0028  B) .0027  C) .0026  D) .0025  E) None of these

Solution: Explanation:   1/(60*60) = 1/3600 = .0027   Option .0027
Answer: B
In a tea factory,one half of the workers are above 50 years,quarter are between 50 to 45 years,one-fifth are between 45 to 35 years and other 30 workers are below 20 years. How many workers total are there in the factory?	Choose the correct choice from the following
A) 250 B) 366 C) 400 D) 500 E) 600

Solution: 1/2x + 1/4x +1/5x = 19/20x   Remaining 1/20 x= 30   x= 30*20= 
30*20 = 600
600   600 is the answer.
Answer: E
Find the odd man out
253, 136, 352, 323, 631, 244 Pick one:
A) 323  B) 136  C) 352  D) 631  E) 531

Solution: The sum all three digits comes to 10 except 323   323NSWER:323
Answer: A
6x − 12 = 6y
5y + 5x = 10
Which of the following is the number of solutions to the system of equations shown above?  Choose the correct answer.
A) More than three  B) Exactly three  C) Exactly two  D) Exactly one  E) None

Solution: 6x − 12 = 6y   => 6x - 6y = 12   => x- y =2 -- 1   5y + 5x = 10   5  + 5= 
5  + 5 = 10
10=>x + y = 2 -- 2   From equation 1 and 2 , we get   2x = 4   => x=2   y=0   Therefore , the given system will have Exactly one solution   Exactly one
Answer: D
Andy has grades of 84, 65, and 76 on three math tests. What grade must he obtain on the next test to have an average of exactly 80 for the four tests?  Choose the correct choice.
A) 80
B) 85
C) 90
D) 95
E) 98

Solution: (84 + 65 + 76+ x) 4 = 80   (4)(80) = 225 + x   320 = 225 + x   ( 320-225) (225-225)   95 = x   ANSWER :95
Answer: D
81,162,49,98,25,50,66
Choices.
A) 126	B) 127	C) 129	D) 128	E) 132

Solution: 81*2= 
81*2 = 162
162   49*2= 
49*2 = 98
98   25*2= 
25*2 = 50
50   66*2= 
66*2 = 132
132   ANSW132R:132
Answer: E
A rectangular table seats 5 people on each of two sides, with every person directly facing another person across the table. If ten people choose their seats at random, what is probability that any two of them directly face other?
Choices.
A) 1/56 B) 1/8 C) 1/7 D) 1/9 E) 4/7

Solution: A B C D E   ------------   | TABLE |   ------------   F G H I J   A to J are 10 people.   Prob to select any 1 person = 1   Prob to select the person opposite to the chosen person = 1/9   For ex. If we select A as the person than prob of choosing F is 1/9.   Hence, answer will be 1/9.
Answer: D
A box contains 4 red balls and 4 black balls. One by one, every ball is selected at random without replacement. What is the probability that the fourth ball selected is black?	Choose the correct answer
A) 1/4 B) 1/2 C) 1/2 D) 5/8 E) 2

Solution: My complicated version of your simple approach   Let the 4 black balls be BBBBand 4 Red Balls be RRRR   They can be arranged in 8 slots _ _ _ _ _ _ _ _   in (8!)/ (4!x4!)   If the fourth slot is Black ball then the arrangement will be to fill   _ _ _ B _ _ _ _   we have 7 slots and 3 Black (BBB) and 4 Red (RRRR)   They can be arranged in (7!)/ (4!x3!)   Hence required probability = [(8!)/ (4!x4!)]/[(7!)/ (4!x3!)]   =2   2
Answer: E
Due to 10% decrease in the price of sugar and John can buy 5kg more sugar in Rs100 , then find the CP of sugar?	Choose the correct choice from the following
A) Rs. 2(1/9) B) Rs. 2(2/9) C) Rs. 2(1/3) D) Rs. 3(2/5) E) Rs. 3(1/7)

Solution: Here r = 10 % ,x = 100 and A = 5 kg   Actual price of sugar = 10*100/((100-10 )*5) = Rs. 2(2/9)   Rs. 2(2/9)
Answer: B
In 1990 the budgets for projects Q and V were $620,000 and $780,000, respectively. In each of the next 10 years, the budget for Q was increased by $30,000 and the budget for V was decreased by $10,000. In which year was the budget for Q equal to the budget for V ? Choose the correct choice:
A) 1992	B) 1993	C) 1994	D) 1995	E) 1996

Solution: Let the no of years it takes is x.   620+30x = 780-10x --> 40x = 160 and x=4.   Thus, it happens in 1994.   1994.
Answer: C
Income and expenditure of a person are in the ratio 5 : 4. If the income of the person is Rs. 17000, then find his savings?	Choose the correct choice from the following answers:
A) 3600	B) 3400	C) 3608	D) 3602	E) 3603

Solution: Let the income and the expenditure of the person be Rs. 5x and Rs. 4x respectively.   Income, 5x = 17000 => x = 3400   Savings = Income - expenditure = 5x - 4x = x   So, savings = Rs. 3400.   Answer:3400
Answer: B
A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?	Choose the correct answer
A) 4 min
B) 2 min
C) 8 min
D) 9 min
E) 3 min

Solution: S = 600/40= 
600/40 = 15
15 mps   S= 3600/15= 
3600/15 = 240
240 sec= 4 min.4 minnswer: 4 min
Answer: A
Convert the 13/36 m/s into kilometers per hour?  Options.
A) 2.9	B) 2.2	C) 1.3	D) 1.2	E) 1.8

Solution: 13/36 m/s = 13/36 * 18/5 = 13/10= 
13/10 = 13/10 = around 1.3
1.3 kmph.   Answer: 1.3
Answer: C
There are 8 boxes numbered from 1 to 8. Either a red ball or a green ball will be placed in each box in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. How many different ways can this be done?
Choose the correct answer.
A) 32	B) 34	C) 36	D) 38	E) 40

Solution: 1 green ball: 8 ways   2 green balls: 7 ways   3 green balls: 6 ways   4 green balls: 5 ways   5 green balls: 4 ways   6 green balls: 3 ways   7 green balls: 2 ways   8 green balls: 1 way   The total number of ways is   8*9/2= 
  8*9/2 = 36
36   The answer is 36.
Answer: C
If 7^t is a factor of the product of the integers from 1 to 100, inclusive, what is the largest value of t?  Options.
A) 12
B) 13
C) 14
D) 15
E) 16

Solution: So the question just means that we have to find all the multiples t of 7 between 1 to 100   So there are 14 multiples of 7 ( 7 - 98)   But 49 and 98 contain two 7's as factors   so we have to add  14 + 2= 
 14 + 2 = 16
16   16
Answer: E
Difference between the length & breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?? We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103?	Pick:
A) 2500 m^2
B) 2510 m^2
C) 2520 metre sq
D) 2540 m^2
E) 2590 m^2

Solution: Solving the two equations, we get: l = 63 and b = 40.   Area = (l x b) = (63 x 40) m2 = 2520 m^2   2520 metre sq
Answer: C