MU-NLPC/Calc-aqua_rat huggingface dataset:
If 100!/30^n is an integer, which of the following is the greatest possible value of n?
Select
A) 28 B) 24 C) 20 D) 15 E) 10

Solution: 30^n = 2^n * 3^n * 5^n   100! has 97 2's, 48 3's and 24 5's   Since each of 2, 3 and 5 is required to form 30 and there are only 24 5's there can only be 24 30's in 100!   Answer: 24
Answer: B
Find the average of all numbers between 6 and 36 which are divisible by 7
Pick.
A) 20  B) 15  C) 25  D) 30  E) 35

Solution: Explanation:   Average=(7+14+21+28+35)/7=105 / 7= 
105 / 7 = 15
15   Option 15
Answer: B
A batch of widgets costs p + 8 dollars for a company to produce and each batch sells for p(7 – p) dollars. For which of the following values of p does the company make a profit?  Choose the correct choice from the following answers:  A) 3  B) 4  C) 5  D) 6  E) 7

Solution: to make profit, selling price should be greater than cost price   p(7-p) - p-8 >0   => p^2-6*p+8<0   hence p=3   3
Answer: A
Find large number from below question The difference of two numbers is 2500. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder  Choose the most appropriate option.
A) 3345  B) 1250  C) 1540  D) 2997  E) 1635

Solution: Let the smaller number be x. Then larger number = (x + 1365).   x + 2500= 6x + 15   5x = 2485   x = 497   Large number = 497+1365 = 2997   2997
Answer: D
A walks at 30 kmph and 30 hours after his start, B cycles after him at 42 kmph. How far from the start does B catch up with A?
Choose the correct choice from the following.
A) 1200km B) 1500km C) 2000km D) 2500km E) 3150km

Solution: Suppose after x km from the start B catches up with A. Then, the difference in the time taken by A to cover x km and that taken by B to cover x km is 30 hours.   x/30 - x/42 = 30   x = 3150 km   Answer is 3150km
Answer: E
The speed at which a girl can row a boat in still water is 90 kmph. If she rows downstream, where the speed of current is 18 kmph, what time will he take to cover 330 metres?	Select:
A) 11	B) 12	C) 13	D) 14	E) 15

Solution: Speed of the boat downstream = 90 + 18= 
90 + 18 = 108
108 kmph= 108 * 5/18= 
108 * 5/18 = 30
30 m/s   Hence time taken to cover 330 m= 330/30= 
330/30 = 11
11 seconds.   11nswer: 11
Answer: A
If p/q =4/5, then the value of 11/7 + {(2q - p) / (2q + p)} is ? Answers.
A) 3 / 7	B) 34	C) 1	D) 2	E) 3

Solution: Answer   Given Exp. = 11 / 7 + {(2q - p) / (2q + p)}   2ividing numerator as well as denominator by q,   Exp = 11/7 + {2-p/q) / (2 + p/q)}   = 11/7 + {(2 - 4/5) / (2 + 4/5)}   = 11/7 + 6/14   = 11/7 + 3/7   =14/7= 
14/7 = 2
2   Correct Option: 2
Answer: D
Two cubes of their volumes in the ratio 27 : 125. The ratio of their surface area is:  Options: A) 1.5:5 B) 2:5 C) 3:5 D) 1:5 E) 4:5

Solution: The ratio of their surface area is   27 : 125   3 : 5   Answer is 3:5.
Answer: C
At a certain supplier, a machine of type A costs $21,000 and a machine of type B costs $50,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the cost, how much less would 2 machines of type A cost than 1 machine of type B under this arrangement?	Choices.
A) $10,560
B) $11,200
C) $12,000
D) $12,800
E) $13,200

Solution: Total Cost of 2 Machines of Type $10,560   = 20% of (Cost of 2 machine $10,560) + remainder + 40 % remainder   = 20% of 42000 + (42000 - 20% of 42000) + 40% of (42000 - 20% of 42000)   = 55440   Total Cost of 1 Machine of Type B   = 20% of (Cost of 1 machine B) + remainder + 40 % remainder   = 20% of 50000 + (50000 - 20% of 50000) + 40% of (50000 - 20% of 50000)   = 66000   Diff = 66000 - 55440= 
66000 - 55440 = 10_560
10560   Hence, $10,560.
Answer: A
A lends Rs. 1500 to B and a certain sum to C at the same time at 8% per annum simple interest. If after 4 years, A altogether receives Rs. 1400 as interest from B and C, then the sum lent to C is  Choose the correct choice from the following options:
A) Rs.2875 B) Rs.1885 C) Rs.2245 D) Rs.2445 E) Rs.2615

Solution: Explanation :   Let the sum lent to C be Rs. x   Simple Interest for Rs.1500 at 8% per annum for 4 years   + Simple Interest for Rs.x at 8% per annum for 4 years = Rs.1400   ⇒1500×8×4/100+ x × 8×4/100=1400   ⇒480+32x/100=1400   ⇒32x/100=920   ⇒x=920×100/32=2875   Rs.2875nswer : Option Rs.2875
Answer: A
Last year, a certain public transportation system sold an average (arithmetic mean) of 41,000 tickets per day on weekdays (Monday through Friday) and an average of 22,000 tickets per day on Saturday and Sunday. Which of the following is closest to the total number of tickets sold last year?
Choose the correct choice from the following answers:
A) 1 million  B) 1.25 million  C) 10 million  D) 12.9 million  E) 125 million

Solution: If you type that into the calculator, it results in 13.0 mil   [D], 12.9 mil, is the correct answer... see 2 posts above for quick approx method
Answer: D
If x is an odd integer, which of the following must also be odd?	Choose the correct choice from the following.
A) 2x + 4
B) x + x
C) 3x + 3
D) 2x + x
E) x^2 + 1

Solution: Odd + odd = even   Odd + even = odd   Odd*odd = odd   Odd*even = even   On checking each option   A. 2x + 4   2x = even, 2 x + 4 = even + even = even.   B. x + x   Odd + odd = even. This will be even   C. 3x + 3   3x = odd, 3x + 3 = odd + odd = even   D. 2x + x   2x = even, 2x + x = even + odd = odd   E. x^2 + 1   x^2 = odd, x^2 + 1 = odd + odd = even   Correct option: 2x + x
Answer: D
If x = (y)(y + 1) and y is a prime number less than 11, which of the following could not be the product of 2 consecutive integers?
Choose the correct choice from the following options.
A) 5x	B) 11x	C) 13x	D) 23x	E) 57x

Solution: Given y is a prime number less than 7   so y can be 2 3 5 7   x=y*(y+1)   so x can be 6 12 30 56   So from options   A. 5x can be (5*6)   B. 11x can be (11*12)   C. 13x can be (13*12)   D. 23x cannot be   E. 57x can be (56*57)   So answer option 23x.
Answer: D
A person want to give his money of $600 to his 3 children A,B,C in the ratio 1:2:3. What is the B+C share?  Choose the correct choice from the following choices
A) $200
B) $300
C) $150
D) $450
E) $500

Solution: B's share = 600*2/6= 
600*2/6 = 200
$200   C's share= 600*3/6= 
600*3/6 = 300
$300   B+C= $500   Answer is $500
Answer: E
What is the remainder when 1003 * 1005 * 1007 is divided by 15
Select:
A) 3
B) 17
C) 14
D) 0
E) 7

Solution: 1003/15==> Remainder=13   1005/15==> Remainder=0   1007/15==> Remainder=2   13*0*2= 
13*0*2 = 0
0/15==> Remainder=0   Answer:0
Answer: D
What approximate value should come in place of (x) in the following question?
139.25 + 223.94 / 4.002 = x
Choose the correct choice from the following answers
A) 250  B) 203  C) 200  D) 195  E) 185

Solution: Explanation:   Given: 139.25 + 223.94 / 4.002 = x   Approximate 139.25 as 140, 223.94 as 224, 4.002 as 4,   we get, x = 140 + 224 / 4 = 140 + 56= 
140 + 56 = 196
196=>195   ANSWER 195
Answer: D
A thief is noticed by a policeman from a distance of 500 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 12 km per hour respectively. What is the distance between them after 6 minutes?
Pick one.
A) 150 m
B) 200 m
C) 300 m
D) 100 m
E) 250 m

Solution: Relative speed of the thief and policeman = 12 - 10= 
12 - 10 = 2
2 km/hr.   Distance covered in 6 minutes= 2/60 * 6 = 1/5 km = 200 m.   Distance between the thief and policeman = 500 - 200= 
500 - 200 = 300
300 m   300 m
Answer: C
Sum of even numbers between 15 and 25 is	Choose the correct choice from the following:
A) 70
B) 80
C) 130
D) 100
E) None

Solution: Explanation: 16 + 18 + .......24.   Taking 2 common we get = 2 ( 8 + 9 + 10 +.....+ 12)   Sum of n natural numbers upto 12   8 + 9 + 10 +.....+ 12 = (1 + 2 + 3 + ......+ 12) - ( 1 + 2 + 3 + ....+ 7)   By applying the formula for the first n natural numbers sum n(n+1)/2 we get, 12(12+1)/2−7(7+1)/2=50   So 16 + 18 + .......24 = 2 × 50 = 100   Correct Option: 100
Answer: D
If 25% of x is 5 less than 10% of 500, then x is?	Choices.
A) 188	B) 180	C) 156	D) 840	E) 121

Solution: 25% of x = x/4 ; 10% of 500 = 10/100 * 500= 
10/100 * 500 = 50
50   Given that, x/4= 50 - 5 => x/4 = 45 => x = 180.   Answer: 180
Answer: B
A certain plant was 11 feet long on the day it was plantedthe length grows by a constant amount everyday(inc. the first day it was planted).
if this plant grew by 30% b/w the 4th day and 10 th day after it was planted ,how many feet per day does the plant grow  Choose the correct option:
A) a) 2
B) b) 4.5
C) c) 0.69
D) d) 5.5
E) e) 3

Solution: If the plant is 11 feet tall when it is planted, it will be 11 + k feet tall at the end of the day (where k is the constant length it grows by every day).   Similarly, at the end of the 4th day the plant must be 11 + 4k feet tall and at the end of the 10th day it must be 11 + 10k feet tall.   Therefore 6k = 0.3 (11 + 4k)   => k = 0.69   Therefore the plant grows by 0.69 feet every day.   Option (c) 0.69)
Answer: C
A straight fence is to be constructed from posts 6 inches wide and separated by lengths of chain 8 feet long. If a certain fence begins and ends with a post, which of the following could not be the length of the fence in feet? (12 inches = 1 foot)
Choose the correct choice:
A) 26  B) 32  C) 43  D) 60  E) 77

Solution: There is one post for each length of chain, plus one final post at the end.   The length of the fence in feet is 8.5x + 0.5, where each is the number of chain lengths.   The length of the fence is an integer when x = 1,3,5,7,...   The length of the fence could be 9, 26, 43, 60, 77,...   The answer is 32.
Answer: B
A mathematics teacher tabulated the marks secured by 35 students of 8th class. The average of their marks was 72. If the marks secured by Reema was written as 35 instead of 99 then find the correct average marks up to two decimal places.  Choose the correct option.
A) 73.41 B) 74.31 C) 72.43 D) 73.43 E) 73.82

Solution: Total marks = 35 x 72 =2520   Corrected total marks = 2520 - 35 + 99= 
2520 - 35 + 99 = 2_584
2584   Correct Average= 2584/35 = 73.82   Answer : 73.82
Answer: E
Presently the ratio between the ages of David and James is 3:2. after 8 years David will be 29. What is the present age of James?  Choose the correct option.
A) 24 B) 23 C) 14 D) 21 E) 25

Solution: Let the present ages of David and James be 3x years and 2x years respectively   3x+8 = 29   3x = 21   x = 7   James's age = 2x =14 years   Answer is 14
Answer: C
A bookseller has two display windows. She plans to display 3 new fiction books in the left window, and 3 new non-fiction books in the right window. Assuming she can put the four fiction books in any order, and separately, the three non-fiction books in any order, how many total configurations will there be for the two display windows?  Choose the correct choice:  A) 24  B) 72  C) 144  D) 36  E) 420

Solution: The left window will have permutations of the 3 fiction books, so the number of possibilities for that window is   permutations = 3! = (3)(2)(1) = 6   The right window will have permutations of the 3 non-fiction books, so the number of possibilities for that window is   permutations = 3! = (3)(2)(1) = 6   Any of the 24 displays of the left window could be combined with any of the 6 displays of the right window, so the total number of configurations is 6*6= 
6*6 = 36
36   Answer: 36.
Answer: D
Jim wishes to buy 3 gifts that cost 27 dollars, 9 dollars, and 12 dollars. He has 1/4 of the money
he needs. How much more money must he earn in order to buy the gifts? Answers:
A) $57  B) $36  C) $7  D) $17  E) $27

Solution: $27 + $9 + $12 = $48 needed   1/4 x $48 27 +  9 +  12= 
27 +  9 +  12 = 48
$48 needed   1/4 x $48= $12 on hand   $48 - $12 = $36 to earn   correct answer $3648 -  12= 
48 -  12 = 36
$36 to earn   correct answer $36
Answer: B
John goes to his office by car at a speed of 40kmph and reaches 8 minutes earlier. If he goes at a speed of 30kmph , he reaches 4mins late. What is the distance from his house to office? Choose the correct choice from the following answers
A) 18 km	B) 20 km	C) 22 km	D) 24 km	E) 30 km

Solution: Let his office time be 10 a.m. He reaches office at 8 minutes earlier when he travels at 40 kmph => He reaches at 9:52 a.m   He reaches his office 4 minutes late when travels at 30 kmph speed=> He reaches at 10.04 a.m   The time difference is (10.04 – 9.52) = 12 minutes   Let the distance be 24 km and time=   24 kmistance   Speed   T1 – T2 = 12 minutes = 12/60   hours = 1/5hours   24 km/30– 24 km/40= 1/5   (424 km-324 km)/120= 1/5   24 km= 24 km
Answer: D
In how many ways can seven members be selected from a group of fifteen members? Choose the correct choice from the following
A) 10C6 B) 15C7 C) 10C4 D) 10C3 E) 10C1

Solution: seven members can be selected from fifteen members in   15C7   = 15c7 ways.   Answer: 15C7
Answer: B
At present, the ratio between the ages of Arun and Deepak is 4 : 3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present ?
Choose the correct choice:
A) 12 years  B) 15 years  C) 19 and half  D) 21 years  E) 23 years

Solution: Let the present ages of Arun and Deepak be 4x years and 3x years respectively. Then,   4x + 6 = 26   4x = 20   x = 5.   Deepak's age = 3x = 15 years.   Answer: Option 15 years
Answer: B
The sum of digits of a two digit number is 12,The difference between the digits is 4. Find the number Pick:  A) 84  B) 94  C) 83  D) 72  E) None

Solution: Description :   => x+y=12, x-y=4   Adding these 2x =16   => x=8, y=4.   Thus the number is 84   84nswer 84
Answer: A
X starts a business with Rs.45000. Y joins in the business after 6 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year? Pick one.
A) 1:2	B) 2:1	C) 3:1	D) 2:3	E) 5:3

Solution: Ratio in which they should share the profit   = Ratio of the investments multiplied by the time period   =45000×12:30000×6   =45×12:30×6   =3×12:2×6   =3:1   Answer is 3:1
Answer: C
A rectangular window is twice as long as it is wide. If its perimeter is 16 feet, then what are its dimensions in feet?	Choose the correct choice from the following choices.
A) 3/2 by 7/2  B) 8/3 by 16/3  C) 2 by 4  D) 3 by 6  E) 10/3 by 20/3

Solution: Let x be the width of the window. Then the length is 2x.   x+2x+x+2x = 16   6x = 16   x = 16/6 = 8/3   The width is 8/3 and the length is 16/3.   The answer is 8/3 by 16/3.
Answer: B
A cistern is filled by a tap in 3 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how long will it take the leak to empty it? Choose the correct choice from the following options:
A) 11 B) 12 C) 29 D) 28 E) 29

Solution: 2/7 - 1/x = 1/4   x = 28   Answer:28
Answer: D
If the annual increase in the population of a town is 4% and the present number of people is 15625, what will the population be in 3 years?	Select the correct option:
A) 15265  B) 16458  C) 25600  D) 17576  E) 14785

Solution: The required population is = 15625 (1 + 4/100)^3   = 15625 * 26/25 * 26/25 * 26/25= 
15625 * 26/25 * 26/25 * 26/25 = 17_576
17576   Answer is 17576
Answer: D
Raviraj invested an amount of 10,000 at compound interest rate of 10 pcpa for a period of three years. How much amount will Raviraj get after three years?	Choose the correct choice from the following choices:
A) 12,310
B) 13,210
C) 13,320
D) 13,120
E) None of these

Solution: Amount = 10000(1 + 10⁄100)3   = 10000 × 11⁄10 × 11⁄10 × 11⁄10   = 13310   Answer None of these
Answer: E
The ratio of three numbers is 1:2:5 and the sum of their squares is 4320. The sum of the numbers is?
Choose the correct choice from the following choices
A) A)10
B) B)12
C) C)15
D) D)14
E) E)9

Solution: Let the numbers be x,2x,5x   then, x^2+4x^2+25x^2 = 4320   30x^2 = 4320   x^2 = 144   x=12   Answer is 12
Answer: B
A and B can do a piece of work in 10 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in? Choose the correct choice from the following:  A) 40 days  B) 20 days  C) 10 days  D) 60 days  E) 40 days

Solution: 10 days   10 days   10 days = 1/5 – 1/10 = 1/10 => 10 days
Answer: C
Sum of three numbers 308, If the first number be twice then second and third number be one third of the first, then the second number is
Select the correct option
A) A)70	B) B)71	C) C)72	D) D)83	E) E)84

Solution: 84xplanation:   Let the second number is x, then first is 2x, and third is 1/3(2x)   =>2x+x+2x/3=308   <=>11x/3=308   =>x=84   Answer: Option 84
Answer: E
There are several bags of same weight. A bag is 6 kgs plus three fourth of the weight of an other bag. What is the weight of a bag?  Choose the correct choice from the following options:  A) 22  B) 88  C) 70  D) 27  E) 24

Solution: Let the bags weight is x   Then 6 + 3434 x = x,   Solving we get x = 24   Answer:24
Answer: E
If a store adds 60 chairs to its current inventory, the total number of chairs will be the same as three-halves the current inventory of chairs. If the manager wants to increase the current inventory by 30%, what will the new inventory of chairs be? Options.
A) 40
B) 60
C) 100
D) 156
E) 160

Solution: Explanation:   Letâ€™s say t = total current inventory of chairs. The first sentence states that 60 + t = (3/2)t. First solve for the current inventory:   60 + t = (3/2)t   60 = (3/2)t âˆ’ t   60 = (1/2)t   120 = t   The manager wants to increase this by 30%.   30% of 120 is 36, so the new inventory will be 120+36= 
120+36 = 156
156   Answer: (156).
Answer: D
Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 162. If the ratio of his marks in English and Maths is 3:5, find his marks in Science?	Choose the correct answer:
A) 18
B) 66
C) 77
D) 55
E) 34

Solution: S:E = 1:3   E:M = 3:5   ------------   S:E:M = 3:9:15   3/27 * 162= 
3/27 * 162 = 18
18   18nswer: 18
Answer: A
At 15:00 there were 22 students in the computer lab. At 15:03 and every three minutes after that, 3 students entered the lab. If at 15:10 and every ten minutes after that 8 students left the lab, how many students were in the computer lab at 15:44 ?
Choose the correct answer.
A) 7  B) 14  C) 25  D) 27  E) 32

Solution: Initial no of students + 3 * (1 + No of possible 3 minute intervals between 15:03 and 15:44) -   8 *(1 + No of possible 10 minute intervals between 15:10 and 15:44)   20 + 3*14 -8 * 4 = 32   32
Answer: E
Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes?	Choose the correct choice from the following answers:
A) 18  B) 27  C) 98  D) 27  E) 21

Solution: Let the pipe B be closed after x minutes.   30/16 - x/24 = 1 => x/24 = 30/16 - 1 = 14/16   => x = 14/16 * 24= 
14/16 * 24 = 21
21.   Answer:21
Answer: E
A motorist covers a distance of 39km in 45min by moving at a speed of x kmph for the first 15min, then moving at double the speed for the next 20 min, and then again moving at his original speed for the rest of the journey. Find x.  Choose the correct answer:  A) 29 kmph  B) 27 kmph  C) 55 kmph  D) 36 kmph  E) 29 kmph

Solution: 36 kmph   36 kmph   Total distance = 39 km   Total time = 45 min   36 kmph = S*T   x * 15/60 + 2x * 20/60 + x * 10/60 = 39 km   x = 36 kmph
Answer: D
A sum of money on compound interest amounts to Rs. 8240 in 2 years and Rs. 9888 in 3 years. The rate of interest is
Pick one
A) 10%  B) 25%  C) 20%  D) 12%  E) 24%

Solution: Explanation: Let the sum be P and rate of interest be R% per annum.   Amount after 2 year = 8240   P(1+R/100)T = 8240   P(1+R/100)2 = 8240 --- ( 1)   Amount after 3 year = 9888   P(1+R/100)T = 9888   P(1+R/100)3 = 9888 --- (2)   (2) ÷ (1) => [P(1 + R/100)3]/[P(1+R/100)2 = 9888/8240   1+R100 = 9888/8240   R/100 = (9888/8240 − 1 )= 1648/8240 = 15   R = 100/5= 
100/5 = 20
20%   Solution 2   ---------------------------------------------------------------------------------------   If a certain sum of money at compound interest amounts to Rs.x in t1 years and Rs.y in t2 years, then the rate of interest per annum can be given by   R= [(y/x)<sup>1/(t2−t1)</sup> − 1] × 100%   R = [(y/x)<sup>1/(t2−t1)</sup> − 1] × 100 = [(9888/8240)<sup>1/(3−2)</sup> − 1] × 100 = [(9888/8240) − 1] × 100   = (1648/8240) × 100 = (15) × 100 = 20%   Answer: Option 20%
Answer: C
Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:  Choose the correct choice.
A) 9 B) 10 C) 12 D) 13 E) 15

Solution: Let the three integers be x, x + 2 and x + 4.   Then, 3x = 2(x + 4) + 3   x = 11.   Third integer = x + 4 = 15.   Answer:15
Answer: E
A, B and C invested Rs. 27000/-, Rs. 35000/- and Rs. 14000/- respectively in a business. At theend of year, they earn a profit of Rs 5320/-. B’s share of profit is: Choose the correct choice:
A) Rs. 2540/-
B) Rs. 2450/-
C) Rs. 2045/-
D) Rs. 2504/-
E) None of these

Solution: Explanation:   A : B : C = 27000 : 35000 : 14000 = 27 : 35 : 14   B’s Share = Rs. (5320 * 35/76)   = Rs. (140 * 35/2)   = Rs. (70 * 35) = Rs 2450/-   Answer: Option Rs. 2450/-
Answer: B
Rajeev purchased six calculators at the cost of Rs.690. How many calculators can he purchase for Rs.920?  Pick one
A) 8	B) 9	C) 11	D) 12	E) 14

Solution: Explanation:   Price of one calculator = Rs.690/6= 
.690/6 = 0.115
Rs.115   1. The No. of calculators which can be bought for Rs.920= 920/115= 
920/115 = 8
8 Nos.   8nswer: Option 8
Answer: A
Working alone, Mary can pave a driveway in 5 hours and Hillary can pave the same driveway in 2 hours. When they work together, Mary thrives on teamwork so her rate increases by 33.33%, but Hillary becomes distracted and her rate decreases by 50%. If they both work together, how many hours will it take to pave the driveway?
Choose one
A) 2 hours	B) 4 hours	C) 5 hours	D) 6 hours	E) 7 hours

Solution: Initial working rates:   Mary = 1/5 per hour   Hillary = 1/2 per hour   Rate when working together:   Mary = 1/5 + (1/3*1/5) = 1/4 per hour   Hillary = 1/2 - (1/2*1/2) = 1/4 per hour   Together they work 1/4 + 1/4 = 1/2 per hour   So they will need 2 hours to complete the driveway. The correct answer is 2 hours.
Answer: A
Which of the following equations describes a line that is perpendicular to y=x+5?
Choose the correct choice from the following
A) y = x − 5
B) y = −1 − x
C) y = 5x
D) y = 5x+1
E) y = 1/x + 5

Solution: Two perpendicular lines have slopes that are inverse reciprocals of each other.   The slope of y=x+5 is 1 so the slope of a perpendicular line will be -1.   The answer is y = −1 − x.
Answer: B
If c= (a-1)(a+2), then what is the least possible value of c?
Answers
A) 1/2 B) 2 C) -9/4 D) 1 E) -2

Solution: Answer : -9/4
Answer: C
A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?  Answers:
A) 80% B) 80% C) 40% D) 48% E) 10%

Solution: The total CP = Rs. 16000 + Rs. 6250   = Rs. 22250 and SP = Rs. 31150   Profit(%) = (31150 - 22250)/22250 * 100= 
(31150 - 22250)/22250 * 100 = 40
40%   Answer: 40%
Answer: C
Yearly subscription to professional magazines cost a company $940.00. To Make a 25% cut in the magazine budget, how much less must be spent? Choose one
A) 705
B) 655
C) 656
D) 657
E) 658

Solution: total cost 940   940*25/100= 
940*25/100 = 235
235   so the cut in amount is 235   the less amount to be spend is  940-235= 
 940-235 = 705
705   705NSWER:705
Answer: A
The population of a city increases by 9% per year but due to migration it decrease by 1% per years. What will be the percentage increase in population in 3 years? Choose the correct choice from the following.
A) 9%  B) 9.27%  C) 25.97%  D) 12%  E) None of these

Solution: Actual increase in population=8%   Let, earlier population=100 then the population after 3 years   =100(1+8/100)^3=125.97   ∴Required percentage=25.97%   ANSWER:25.97%
Answer: C