MU-NLPC/Calc-aqua_rat huggingface dataset:
If the sum of the two numbers is 22 and the sum of their squares is 404, then the product of the numbers is:
Choices:  A) 40  B) 44  C) 80  D) 88  E) 84

Solution: Let the numbers be x and y.   Then, (x + y) = 22 and x2 + y2 = 404   Now,   2xy = (x + y)2 - (x2 + y2)   2xy= 222 - 404 = 484 - 404= 
484 - 404 = 80
80   xy= 40   40NSWER:40
Answer: A
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train. Select:  A) 150 meter  B) 145 meter  C) 140 meter  D) 135 meter  E) 130 meter

Solution: Explanation:   Speed = 60*(5/18) m/sec = 50/3 m/sec   Length of Train(Distance) = Speed * Time   =50/3âˆ—9=150meter   150 meterNSWER IS 150 meter
Answer: A
What is the greatest possible length that can be used to measure exactly the following Lengths 7m, 3m 85cm, 12m 95cm? Options:	A) 25 cms	B) 30 cms	C) 35 cms	D) 38 cms	E) 45 cms

Solution: HCF of 7m, 3m 85cm, 12m 95cm is 35 cms.   ANSWER:35 cms
Answer: C
Which of the following is equal to 10^-(-2)^4?
Pick one
A) 1/(10^14)
B) 1/(10^16)
C) 1/(10^12)
D) 1/(10^8)
E) 1/(10^6)

Solution: 10^-(-2)^4 => 10^-(-2^4) => 10^-(16) = 1/(10^16)   Answer : 1/(10^16)
Answer: B
The population of a town is 231400. If it increase at the rate of 3% per annum. What will be its population for 2years hence?  Choose the correct option:
A) 200000  B) 245492  C) 194582  D) 194481  E) 215460

Solution: population after 2years = 231400*(1+ 3/100)^2 = 245492   Answer is 245492
Answer: B
Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent? Choose the correct choice from the following choices.
A) 16%
B) 17%
C) 18%
D) 58%
E) 13%

Solution: Total CP = Rs. 42000 + Rs. 13000   = Rs. 55000 and SP = Rs. 64900   Profit(%)   = (64900 - 55000)/55000 * 100= 
(64900 - 55000)/55000 * 100 = 18
18%   Answer: 18%
Answer: C
The average of five consecutive odd numbers is 61. What is the difference between the highest and lowest numbers?  Choose the correct choice from the following: A) 6 B) 7 C) 8 D) 4 E) 1

Solution: Let the numbers x, x + 2, x + 4, x + 6 and x + 8   Then, [x + (x + 2) + (x + 4) + (x + 6) + (x + 8)]5 = 61   or 5x + 20 = 305 => x = 57   So, required difference = (57 + 8) - 57= 
(57 + 8) - 57 = 8
8.   Answer: 8
Answer: C
The size of a television screen is given as the length of the screen's diagonal. If the screens were flat, then the area of a square 18-inch screen would be how many square inches greater than the area of a square 16-inch screen? Pick one
A) 2  B) 4  C) 34  D) 38  E) 40

Solution: Pythogoras will help here!   let the sides be x and diagonal be d   Then d ^2 = 2x^2   and   Area = x^2   Now plug in the given diagonal values to find x values   and then subtract the areas   Ans will be 18^2/2 - 16^2 /2 = 68 /2= 
68 /2 = 34
34   Ans 34.
Answer: C
Find the area of a parallelogram with base 14 cm and height 24 cm.	Select.
A) 336 B) 384 C) 345 D) 244 E) 242

Solution: 336rea of a parallelogram = base * height = 14 * 24= 
14 * 24 = 336
336 cm2   336nswer: Option 336
Answer: A
How many positive integers less than 300 can be formed using the numbers 1, 2, 3 a for the digits?
Choose the correct choice from the following options
A) 30  B) 52  C) 66  D) 68  E) 84

Solution: Notice that we can find the number of 2 and 3 digit numbers by just assuming the first digit can also be zero:   0 1 1   1 2 2   2 3 3   Number of possibilities = 3*3*3= 
3*3*3 = 27
27.   Then, just add up the number of 1 digits numbers= 3, so total is  27+3= 
 27+3 = 30
30.   30nswer: 30
Answer: A
What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?	Answers:  A) 17 ways  B) 19 ways  C) 30 ways  D) 16 ways  E) 11 ways

Solution: The number of ways to select three men and two women such that one man and one woman are always selected = Number of ways selecting two men and one woman from men and five women   = ⁴C₂ * ⁵C₁ = (4 * 3)/(2 * 1) * 5= 
(4 * 3)/(2 * 1) * 5 = 30
30 ways.   Answer:30 ways
Answer: C
A bus travels first one-fourth of the distance with a speed of 9 km/hr, next one fourth of the distance with 15 km/hr, third one-fourth distance with a speed of 20 km/hr and last one fourth with 30 km/hr. The average speed of the car for the whole journey is:  Options:
A) 19.09 km/hr  B) 29.09 km/hr  C) 39.09 km/hr  D) 49.09 km/hr  E) None of these

Solution: Explanation :   Let whole distance traveled be x   and average speed of the car be y   => (x/4)/10+(x/4)/20+(x/4)/30+(x/4)/40=x/y   => 1/10+1/20+1/30+x/40=4/y   => (24+12+4+3)/240=4/y   => 33/240=4/y   => y=29.09   Answer : 29.09 km/hr
Answer: B
The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers?  Choose the correct answer
A) 18, 20, 22
B) 20, 22, 24
C) 22, 24, 26
D) 24, 26, 28
E) None of these

Solution: Three consecutive even natural numbers be 2x - 2, 2x and 2x + 2.   (2x - 2)2 + (2x)2 + (2x + 2)2 = 1460   4x2 - 8x + 4 + 4x2 + 8x + 4 = 1460   12x2 = 1452 => x2 = 121 => x = ± 11   As the numbers are positive, 2x > 0. Hence x > 0. Hence x = 11.   Required numbers are 20, 22, 24.   ANSWER:20, 22, 24
Answer: B
Two pipes A and B can fill a tank in 4 and 5 hours respectively. If they are turned up alternately for one hour each, the time taken to fill the tank is? Choose the correct option:	A) 2 hrs 15 min	B) 4 hrs 24 min	C) 5 hrs	D) 3 hrs	E) 2 hrs

Solution: 1/4 + 1/5 = 9/20   20/9 = 2 2/9   9/20 * 2 = 9/10 ---- 4 hours   WR = 1 - 9/10 = 1/10   1 h ---- 1/4   ? ----- 1/10   2/5 * 60= 
2/5 * 60 = 24
24= 4 hrs 24 min   ANSWER:3 hrs
Answer: D
A and B start a business with Rs.6000 and Rs.8000 respectively. Hoe should they share their profits at the end of one year?
Choose the correct choice from the following options
A) 3:5 B) 3:4 C) 3:9 D) 3:1 E) 3:2

Solution: They should share the profits in the ratio of their investments.   The ratio of the investments made by A and 3:4 =   6000 : 8000 => 3:4,Answer: 3:4
Answer: B
The present population of a town is 4320. Population increase rate is 20% p.a. Find the population of town before 2 years?
Choose the correct choice from the following answers.
A) 2500	B) 2100	C) 3500	D) 3000	E) 2050

Solution: P = 4320   R = 20%   Required population of town = P/(1 + R/100)^T   = 4320/(1 + 20/100)^2   = 4320/(6/5)^2   = 3000(approximately)   Answer is 3000
Answer: D
An even number, total of whose digits is 27, is always divisible by Choose the correct choice from the following choices.
A) 14  B) 9  C) 7  D) 6  E) None of these

Solution: Explanation:   An even number is always divisible by 2.   Further, any number sum of whose digits is 27 ie,   (2 + 7 = 9) is always divisible by 9.   .: The number is divisible by both 2 and 9.   .: The number is divisible by 2 x 9 = 18   Answer: Option None of these
Answer: E
If q and y are both odd prime numbers and q < y, how many distinct positive integer factors does 2qy have?	Choose the correct option:
A) 3 B) 4 C) 6 D) 8 E) 12

Solution: Since 2qy prime factors are q^1*y^1*2^1, its total number or factors must be (1+1)(1+1)(1+1)=2^3=8. Thus, I think 8 would be the correct answer.8
Answer: D
Find the term next in series..
1,1/2,3/2,2,5,1/3,16/3,15,12,1/4,25/4,?
Choose the correct answer:  A) 48  B) 58  C) 40  D) 43  E) 44

Solution: [1,1/2,3/2,2],[5,1/3/16/3,15],[12,1/4,25/4,x]   1+1/2=3/2......1/1/2=2   5+1/3=16/3.....5/1/3=15   12+1/4=25/4....12/1/4=48   48NSWER:48
Answer: A
If a man lost 4% by selling oranges at the rate of 24 a rupee at how many a rupee must he sell them to gain 44%?	Pick one:
A) 16 B) 8 C) 9 D) 4 E) 3

Solution: 96% ---- 24   144% ---- ?     96/144 * 24= 
  96/144 * 24 = 16
16   16nswer: 16
Answer: A
A 270 meter long train running at the speed of 120 kmph crosses another train running in the opposite direction at the speed of 80 kmph in 9 seconds.What is the lenght of other train.
Options
A) 210m B) 220m C) 230m D) 240m E) 250m

Solution: Relative speeds=(120+80)km/hr   =200km/hr=(200*5/18)m/s=(500/9)m/s   let length of train be xm   x+270/9=500/9   x=230   Ans is 230m   ANSWER:230m
Answer: C
January 1, 2008 is Tuesday. What day of the week lies on Jan 1, 2009? Choose the most appropriate option.
A) Saturday  B) Wednesday  C) Thursday  D) Saturday  E) None of these

Solution: Explanation :   Number of odd days in 2008 = 2 (since it is a leap year)   (we have taken the complete year 2008 because we need to find out the odd days from   01-Jan-2008 to 31-Dec-2008, that is the whole year 2008)   Given that January 1, 2008 is Tuesday   Hence January 1, 2009 = (Tuesday + 2 odd days) = Thursday   Answer : Option Thursday
Answer: C
If Robert got marks in 6 subjects= {50, 62, 66,74, 80, 82}, what is the total mean and median of the marks ?  Choose the most appropriate option:
A) 160  B) 139  C) 100  D) 121  E) 150

Solution: This is a good question to understand the difference between mean and median.   Mean: Average of all the numbers. (Sum of all the elements divided by the number of elements)   Median: Arrange the elements of the set in increasing order. If the number of terms is odd, the middle term is the median. If the number of terms is even, the average of middle two terms is the median   Coming to this question,   Mean = (50+ 62+ 66+74+ 80+ 82)/6= 
(50+ 62+ 66+74+ 80+ 82)/6 = 69
69   Median= (50 + 80)/2 = 70   Total = 139   Option 139
Answer: B
There are 450 birds at a small zoo. The number of birds is 5 times the number of all the other animals combined. How many more birds are there than non bird animals at the zoo?	Choose the correct choice from the following choices.
A) 400  B) 360  C) 270  D) 180  E) 90

Solution: Total birds = 450 = 5 * Other Animals (X)   or X = 90.   So, Difference in Birds and X = 450-90= 
450-90 = 360
360.   Answer is 360.
Answer: B
Given a set of n rays in a plane, we define a reversal as the operation of reversing precisely one ray and obtaining a new set of n rays.
Q1: if n = 2001 and if k reversals are performed such that all the rays are reversed, then a possible value of k is
a. 4000 b. 4002 c. 2011 d. 1999
Choose the most appropriate option: A) 2336 B) 2011 C) 1366 D) 288 E) 1232

Solution: there are n rays. If we reverse all of them, we would have a complete reversed set after n reversals. After that any reversal that we perform has to be undone with another reversal to obtain complete reversal. We can have a complete reversal after k reversals if k = n + 2m (m ∈ N). i.e., k could be some number greater than (or equal to) n and of the same type (even/odd)   So n = 2001 then k = 2001 + 2m   So k = 2011   Answer.2011
Answer: B
In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?  Choose the correct answer
A) 2.5	B) 2.9	C) 2.6	D) 2.1	E) 2.2

Solution: Speed = 144 * 5/18= 
144 * 5/18 = 40
40 m/sec   Time taken= 100/40= 
100/40 = 5/2 = around 2.5
2.5 sec.   2.5nswer:2.5
Answer: A
What is 10-8+6-4+...+(-10)?  Choose the correct choice:
A) 0
B) 5
C) 2
D) 14
E) 16

Solution: The expression considers all even numbers between 10 and -10 with alternate addition and subtraction of the numbers.   The numbers to be used are: 10, 8, 6, 4, 2, 0, -2, -4, -6, -8, and -10   Now, the first term is positive and the next term is subtracted. So, the required expression becomes,   10 - 8 + 6 - 4 + 2 - 0 + (-2) - (-4) + (-6) - (-8) + (-10)   = 10 - 8 + 6 - 4 + 2 - 0 - 2 + 4 - 6 + 8 - 10   = 30 - 30= 
30 - 30 = 0
0   Hence the correct answer choice is 0.
Answer: A
Increasing the original price of a certain item by 25 percent and then increasing the new price by 30 percent is equivalent to increasing the original price by what percent?
Choose the correct choice from the following options:
A) 31.25	B) 37.5	C) 50.0	D) 52.5	E) 62.5

Solution: We're told that the original price of an item is increased by 25% and then THAT price is increased by 30%....   IF....   Starting value = $100   + 25% = 100 + .25(100) = 125   + 30% = 125 + .30(125) = 125 + 37.5= 
125 + 37.5 = 162.5
162.5   The question asks how the final price relates to the original price. This is essentially about Percentage Change, which means we should use the Percentage Change Formula:   Percentage Change= (New - Old)/Old = Difference/Original   Doing either calculation will yield the same result:   62.5/100 = 62.50%   Final Answer:   62.5
Answer: E
A coin is tossed live times. What is the probability that there is at the least one tail?  Choose the correct choice
A) 31/32  B) 31/39  C) 31/36  D) 31/33  E) 31/31

Solution: Let P(T) be the probability of getting least one tail when the coin is tossed five times.   = There is not even a single tail.   i.e. all the outcomes are heads.   = 1/32 ; P(T) = 1 - 1/32 = 31/32   31/32nswer: O31/32
Answer: A
Walking at 3/4 of his usual place, a man reaches his office 20 minute late. Find his usual time?  Pick one:	A) 2 hr	B) 1 hr	C) 3 hr	D) 1.5 hr	E) 2.5 hr

Solution: Let the original speed be S and time be T   If new speed=SÃ—3/4, then new time would be TÃ—4/3(D = ST = Constant).   Given,   3T/4âˆ’T=20T/3   â‡’ T=60 minutes   = 1 hour   2 hrnswer :2 hr
Answer: A
The probability that A can shoot a target two out of two times is 0.25. What is the probability that the target will be missed by A immediately after such two shots? Choose the correct choice from the following: A) 0.25 B) 0.5 C) 0.7 D) 0.4 E) 0.75

Solution: Suppose there are total 'x' shots.   A shoots 2 out of 2 times. means out of x shots (x>2) A shots 2 out of 2 ----> A shots at least 2 out of x.   therefore, 2/x = 0.25 (given)   the target will be missed by A immediately after such two shots : this means he can shot just twice ...the third shot cannot happen which means he missed (x-2) shots.   thus, the probabilty of missing just after 2 shots is (x-2)/x.   (x-2)/x = 1 - 2/x   = 1 - 0.25= 
1 - 0.25 = 0.75
0.75   Answer : 0.75
Answer: E
Ramesh, xyz and Rajeev put a partnership. profit is 36000, if Ramesh and xyz ratio is 5 : 4 and xyz and Rajeev 8:9. Find Rajeev's share. Choose the correct option:
A) 14000
B) 15000
C) 16000
D) 12000
E) 17000

Solution: ramesh:xyz=5:4   xyz:rajeev=8:9   then   ramesh:xyz/rajeev:xyz=5:4/9:8   ramesh/rajeev=10/9   therefore   ramesh:xyz:rajeev=10:8:9   then   rajeev share=(9/27)*36000= 
(9/27)*36000 = 12_000
12000   ANSWER:12000
Answer: D
ACME’s manufacturing costs for sets of horseshoes include a $11,450 initial outlay, and $19.75 per set. They can sell the sets $50.00. If profit is revenue from sales minus manufacturing costs, and the company producessells 987 sets of horseshoes, what was their profit?  Choose the correct choice from the following choices.
A) $18,406.75 B) $30,943.25 C) $41,308.50 D) $51,817.50 E) $53,624.25

Solution: its $18,406.75   since options are not so close we can solve this by uniting calculation and guessing   total sales will be bit lower than 50000   from that initial outlay will get deducted 11500 so we left with 31500   variable cost say 20 X 1000 = 20000 will be deducted so finally we left with 18500   since we have considered the price greater than it actually is, the correct answer will certainly not cross the threshold of 18500.
Answer: A
A man bought 40 shares of Rs. 60 at 8 discount, the rate of dividend being 1212%The rate of interest obtained is	Pick one:
A) 13.64%	B) 15.5%	C) 14%	D) 14.42%	E) 14.95%

Solution: Explanation :   Face Value of a share = Rs.60   He bought each share at Rs.60 - Rs.8 = Rs.52   Number of shares = 40   14.42%ividend = 12 1/2%=25/2%   14.42%ividend per share = 60×25/2×100=Rs.7.5   Total dividend = (40 × 7.5)   ie, He got a dividend of (40 × 7.5) for an investment of Rs.(40 × 52)   Interest obtained = 40×7.5×100/40×52=14.42%   Answer : Option 14.42%
Answer: D
The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is? Answers: A) 2520 B) 1287 C) 2277 D) 9277 E) 1911

Solution: We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103.   Solving the two equations, we get: l = 63 and b = 40.   2520rea = (l x b) = (63 x 40) = 2520 sq.m   2520nswer: 2520
Answer: A
The distance from the x-axis to point P is half the distance from the y-axis to point P. If the coordinates of P are (x,-4), how many units is P from the y-axis?  Select the correct option: A) 2 B) 4 C) 8 D) 10 E) 12

Solution: The x-axis is 4 units from the point P.   Thus the y-axis is 8 units from the point P.   The answer is 8.
Answer: C
A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is? Options
A) 1 kmph  B) 6 kmph  C) 7 kmph  D) 4 kmph  E) 9 kmph

Solution: Explanation:   DS = 6   US = 4   S = ?   S = (6 - 4)/2= 
(6 - 4)/2 = 1
1 kmph   1 kmphnswer: 1 kmph
Answer: A
A dishonest dealer professes to sell goods at the cost price but uses a weight of 880 grams per kg, what is his percent? Choose the correct answer:
A) 2%
B) 25%
C) 22%
D) 13.63%
E) 45%

Solution: 880 --- 120   100 --- ? => 13.63%   Answer:13.63%
Answer: D
The sale price sarees listed for Rs.528 after successive discount is 20% and 10% is?  Options.
A) 288 B) 277 C) 380 D) 290 E) 262

Solution: 528*(80/100)*(90/100)   = 380   Answer: 380
Answer: C
Fill in the blank with the correct number in this number series: 6, 45, 14, 40, __, 35, 30, ? Choices.
A) 13  B) 22  C) 24  D) 27  E) 18

Solution: This is a simple alternating subtraction and addition series; The first series begins with 6 and adds 8; the second begins with 45 and subtracts 5, and so on.   Answer: 22
Answer: B
A couple spent $184.80 in total while dining out and paid this amount using a credit card. The $184.80 figure included a 20 percent tip which was paid on top of the price which already included a sales tax of 10 percent on top of the price of the food. What was the actual price of the food before tax and tip?
Select the correct option: A) $124 B) $132 C) $140 D) $148 E) $156

Solution: Let the price of the meal be x.   After a 10% sales tax addition, the price is 1.1*x   After a 20% tip on this amount, the total is 1.2*1.1*x = 1.32x   1.32x = 184.80   x = 140   The correct answer is $140.
Answer: C
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?  Pick one.
A) 11
B) 444
C) 2881
D) 287
E) 221

Solution: 1h ----- 5   ? ------ 60   12 h   RS = 16 + 21= 
16 + 21 = 37
37   T= 12   D = 37 * 12= 
37 * 12 = 444
444   Answer:444
Answer: B
Susan drives from city A to city B. After two hours of driving she noticed that she covered 80 km and calculated that, if she continued driving at the same speed, she would end up been 15 minutes late. So she increased her speed by 10 km/hr and she arrived at city B 36 minutes earlier than she planned.
Find the distance between cities A and B.  Choose the correct choice from the following answers
A) 200 B) 220 C) 240 D) 260 E) 250

Solution: Let x be the distance between A and B. Since Susan covered 80 km in 2 hours, her speed was V=802=40 km/hr.   If she continued at the same speed she would be 15 minutes late, i.e. the planned time on the road is x40−1560 hr. The rest of the distance is (x−80) km. V=40+10= 
40+10 = 50
50 km/hr.   So, she covered the distance between A and B in 2+x−8050 hr, and it was 36 min less than planned. Therefore, the planned time was 2+x−8050+3660.   When we equalize the expressions for the scheduled time, we get the equation:   x40−1560=2+x−8050+3660   x−1040=100+x−80+3050   x−104=x+505   5x−50=4x+200   x=250   So, the distance between cities A and B is 250 km.   So answer is 250
Answer: E
A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 24 hrs and a machine of type S does the same job in 12 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?  Options.
A) A)3
B) B)4
C) C)6
D) D)9
E) E)12

Solution: Rate of machine R =1/24   Rate of machine S =1/12   since same no of machines used for R and S to do the same work in 2 hrs   So collective rate needed to finish the work in 2 hrs= 1/2   Let the no of machine be x   So, x/24 +x/12 =1/2   3x/24=1/2   x=24/6= 
24/6 = 4
4   So no of machine R is 4   Answer 4
Answer: B
There are 22 students in a class. In how many different ways can a committee of 3 students be formed?  Choose one:
A) 1180
B) 1320
C) 1540
D) 1760
E) 1920

Solution: 2215403 = 22*21*20 / 6= 
22*21*20 / 6 = 1_540
1540   The answer is 1540.
Answer: C
The volume V of a rectangular swimming pool is 840 cubic meters and water is flowing into the swimming pool. If the surface level of the water is rising at the rate of 0.5 meters per minute, what is the rate, in cubic meters per minutes, at which the water is flowing into the swimming pool?
Options: A) 0.125 B) 0.25 C) 0.5 D) 0.75 E) Not enough information to determine the rate

Solution: The correct answer is E.   There are not enough info to answer the question.   A 840 cubic meters rectangle is built from: height*length*width.   From the question we know the volume of the pool and the filling rate.   A pool can have a height of 10*width8.4*length10 and have a volume of 840 cubic meters, and it can have a height of 1 meter, width of 100 meters and length of 8.4. In both cases the pool will fill up in a different rate = Not enough information to determine the rate
Answer: E
What will come in place of the x in the following Number series? 279936, 46656, 7776, 1296, x
Answers
A) 214
B) 215
C) 213
D) 320
E) 216

Solution: Go on dividing by 6 to the next number   Answer : 216
Answer: E
If a is a positive integer, then 2^a + 2^(a + 1)+ 2^(a + 2)+ 2^(a + 3) =
Choose the correct choice from the following choices:
A) 3^(a + 1)
B) 2^(a + 1)
C) 2a
D) 2a^(a + 1)
E) 15(2^a)

Solution: If a is a positive integer, then 2^a + 2^(a + 1)+ 2^(a +2)+ 2^(a + 3) =   2^a(1+2+4+8)   2^a(15)   E. 15(2^a)
Answer: E
If n = 8p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n ?  Options:
A) Two  B) Three  C) Four  D) Six  E) Eight

Solution: If n = 8p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n ?   (A) Two   (B) Three   (C) Four   (D) Six   (E) Eight   Since we cannot have two correct answers just pick a prime greater than 2, and see how many different positiveevendivisors will 8p have.   p = 3 --> 8p = 24--> 24 has 6 even divisors: 2, 4, 6, 8, 12, 24.   Answer: Six.
Answer: D
Convert 0.30 in to a vulgar fraction ? Choose the correct choice from the following options:
A) 18/50 B) 16/50 C) 3/10 D) 19/50 E) None

Solution: Answer   0.30 = 30/100 = 3/10   3/10orrect Option: 3/10
Answer: C
A certain bus driver is paid a regular rate of $16 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $752 in total compensation, how many total hours did he work that week? Pick one:	A) 36	B) 40	C) 44	D) 48	E) 52

Solution: For 40 hrs = 40*16= 
40*16 = 640
640   Excess= 752-640= 
752-640 = 112
112   For extra hours=.75(16)=12+16= 
12+16 = 28
28   Number of extra hrs=112/28=28/7= 
28/7 = 4
4   Total hrs=40+4= 
40+4 = 44
44   Answer 44 44
Answer: C
Find the wrong number below mentioned series
5,24,60,120,210,340 Choose the most appropriate option
A) 340 B) 210 C) 5 D) 60 E) none

Solution: 5 is the only prime number or odd number in the series.   ANSWER:5
Answer: C
My brother is 3 years elder to me. My father was 28 years of age when my sister was born while my mother was 28 years of age when I was born. If my sister was 4 years of age of when my brother was born, then, what was the age of my father and mother respectively when my brother was born?
Choices:
A) 32 yrs, 23 yrs B) 32 yrs, 25 yrs C) 35 yrs, 29 yrs D) 35 yrs, 33 yrs E) none

Solution: Sol.   Clearly, my brother was born 3 years before I was born and 4 years after my sister was born.   So, father's age when brother was born = (28 + 4)= 
(28 + 4) = 32
32 years.   mother's age when was born= (28 - 3)= 
(28 - 3) = 25
25 years.   Answer 32 yrs, 25 yrs
Answer: B