MU-NLPC/Calc-aqua_rat huggingface dataset:
A single discount equivalent to the discount series of 30%, 20% and 10% is?
Choices:
A) 31.8 B) 31.1 C) 31.6 D) 31.2 E) 49.6

Solution: 49.6xplanation:     100*(70/100)*(80/100)*(90/100)= 
  100*(70/100)*(80/100)*(90/100) = 252/5 = around 50.4
50.4   100 - 50.4= 
100 - 50.4 = 49.6
49.6   Answer: 49.6
Answer: E
On a sum of money, the simple interest for 2 years is Rs. 330, while the compound interest is Rs. 340, the rate of interest being the same in both the cases. The rate of interest is Choose the most appropriate option
A) 15%
B) 14.25%
C) 6.06%
D) 10.5%
E) 11.5%

Solution: Explanation:   The difference between compound interest and simple interest on Rs. P for 2 years at R% per annum   = (R Ã— SI)/(2 Ã— 100)   Difference between the compound interest and simple interest = 340 - 330= 
340 - 330 = 10
10   (R Ã— SI)/(2 Ã— 100)= 10   (R Ã— 330)/(2 Ã— 100) = 10   R = 6.06%   Answer: Option 6.06%
Answer: C
A and B are positive two-digit integers such that the tens digit in A is the same as the units digit in B, and the units digit in A is the same as the tens digit in B. Which of the following can be the difference of A and B ?  Pick.
A) 73
B) 44
C) 27
D) 21
E) 91

Solution: A and B are positive two-digit integers such that the tens digit in A is the same as the units digit in B, and the units digit in A is the same as the tens digit in B:   A = 10x + y   B = 10y + x   A - B = (10x + y) - (10y + x) = 9(x - y). As you can see the difference must be a multiple of 9. Only option C is a multiple of 9.   Answer: 27.
Answer: C
y = 2x^2 + bx + 256 cuts the x axis at (h, 0) and (k, 0). If h and k are integers, what is the least value of b? Pick:  A) -120.5  B) -124.5  C) -128.5  D) -132.5  E) 132.5

Solution: As the curve cuts the x-axis at (h,0) and (k,0). Therefore h,k are the roots of the quadratic equation.   For the quadratic equation is in the form of ax^2+bx+c=0,   The product of the roots =c/a= 256/2= 
256/2 = 128
128 and the sum of the roots=-b/a=-b   128 can be expressed as product of two numbers in the following ways:   1 * 256   2 * 128   4 * 64   8 * 32   16 * 16   The sum of the roots is maximum when the roots are 1/2 and 128 and the maximum sum is 1/2 + 128= 
1/2 + 128 = 257/2 = around 128.5
128.5   The least value possible for b is therefore -128.5.   -128.5
Answer: C
Alice leaves her home and walks toward Bob's house. One hour later, Bob leaves his home and walks toward Alice's house. The distance between their homes is 41 kilometers, Alice's walking speed is 5 km/h, and Bob's walking speed is 4 km/h. How many kilometers will Alice walk before she meets Bob? Pick:
A) 22 B) 25 C) 27 D) 38 E) 30

Solution: Alice walks 5 km in the first hour so there are 36 km remaining.   When Bob starts walking, they complete a total of 9 km per hour.   They will meet four hours after Bob starts walking.   Since Alice walks for 5 hours, she walks 25 km.   The answer is 25.
Answer: B
Which of the following fractions, if written as a decimal, would have a 2 in the thousandths place ?
Select.
A) 3/11
B) 7/9
C) 1/8
D) 4/7
E) 1/6

Solution: Here rewriting the fractions   A)0.2727272727272727...   B)0.777777   C)0.25   D)0.5714285...   E)0.1666666   Clearly 3/11 will be our pick as the thousandths digit is 2   Hence 3/11
Answer: A
A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: ‘Exactly n of the statements on this sheet are false.’ Which statements are true and which are false?	Choose the correct option.
A) The even numbered statements are true and the odd numbered statements are false.	B) The odd numbered statements are true and the even numbered statements are false.	C) All the statements are false.	D) The 39th statement is true and the rest are false	E) The 69th statement is true and the rest are false

Solution: Assume there is only one statement is there. The statement should read "Exactly 1 statement on this sheet is false" . If the truth value of the statement is true, then given statement should be false. This is contradiction. If the statement is false, Then the given statement is true. but there is not other true statement.   Assume there are two statements. By the above logic, 2nd statement should not be true. But 1st statement is true as it truthfully says the truthfulness. The odd numbered statements are true and the even numbered statements are false.y this logic we know that If there are "n" statements, (n-1)th statement is the only true statement And all other are false   Answer:The odd numbered statements are true and the even numbered statements are false.
Answer: B
A train covers a certain distance at a speed of 200kmph in 4 hours. To cover the same distance in 2 hours, it must travel at a speed of Choose one
A) 400 km/hr	B) 420 km/hr	C) 450 km/hr	D) 470 km/hr	E) 580 km/hr

Solution: Explanation:   Distance = 200×4 = 800km   Required speed = (800/2)= 
(800/2) = 400
400km/hr   400 km/hrnswer: Option 400 km/hr
Answer: A
There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle. Choose the correct answer.
A) 99  B) 277  C) 12  D) 989  E) 221

Solution: Let the radii of the larger and the smaller circles be l cm and s cm respectively. Let the side of the square be a cm.   a2 = 784 = (4)(196) = (22).(142)   a = (2)(14) = 28   a = 2l, l = a/2 = 14   l = (7/3)s   Therefore s = (3/7)(l) = 6 Circumference of the smaller circle = 2∏s = 12∏ cm.   Answer: 12
Answer: C
There are 13 which, 15 black, 16 red hats on a table. In one step, you may chose two hats of different colors and replace each one by a hat of the third color. After how many steps this can be reached?  Pick one:
A) 2  B) 7  C) 3  D) 9  E) 1

Solution: Let the initial number of hats are (a, b, c). In one step the hats color may change into one of the following (a+2, b-1, c-1), (a-1, b+2, c-1), (a-1, b-1, c+2). In each of these cases, difference between any two colored hats should be divisible by 3 to reach mono chromatic stage. ie., a + b + c should also be divisible by 3.   In this case sum is not divisible by 3 so the final stage cannot be reached.   Answer:3
Answer: C
A row of ants comprised of 102 ants. A man walked upon it and all except 42 were crushed beneath his foot.
How many ants are left alive?  Select the correct option.
A) 41  B) 42  C) 43  D) 44  E) 45

Solution: Solution:   All except 42 were crushed means that all the ants except 42 were crushed beneath the man's foot. Hence, 42 ants are alive now   Answer 42
Answer: B
John purchased a grinder and a mobile for Rs. 15000 &Rs. 8000 respectively. He sold the grinder at a loss of 4% and the mobile phone at a profit of 10%. Overall how much he make aprofit.
Choose the correct choice from the following options:
A) Rs. 90  B) Rs. 120  C) Rs. 200  D) Rs. 250  E) Rs. 290

Solution: Let the SP of the refrigerator and the mobile phone be Rs. r and Rs. m respectively.   r = 15000(1 - 4/100) = 15000 - 600   m = 8000(1 + 10/100) = 8000 + 800   Total SP - Total CP = r + m - (15000 + 8000) = -600 + 800 = Rs. 200   As this is positive, an overall profit of Rs. 200 was made.   Rs. 200
Answer: C
If x > 2000, then the value of (x)/(2x+1) is closest to?
Choose the correct option
A) 1/6 B) 1/3 C) 10/21 D) 1/2 E) 3/2

Solution: assume x = 1999   (x)/(2x+1) = 1999 / (1999*2+1)   =1999 / 3999   = = 1/2   Ans - 1/2
Answer: D
If the cost price is 91% of sp then what is the profit %  Answers:	A) 9.89%	B) 8.90%	C) 9.00%	D) 8.00%	E) 9.27%

Solution: Sol. sp=Rs100 : then cp=Rs 91:profit =Rs 9.   Profit={(9/91)*100}%=9.89%   9.89%nswer is 9.89%.
Answer: A
In a race of 2.4 Kms. A beats B by 400 m or 20 sec. What is A’s time over the course?	Choose the correct choice from the following options:  A) 1 min 30 sec  B) 1 min  C) 1 min 10 sec  D) 1min 40 sec  E) 1min 50 sec

Solution: 2400*20/400= 
2400*20/400 = 120
120   120-20= 
120-20 = 100
100sec=1 min 40 sec.   ANSWER:1min 40 sec
Answer: D
On a certain road, 40% of the motorists exceed the posted speed limit and receive speeding tickets, but 20% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on that road exceed the posted speed limit?  Choose the correct choice from the following:
A) 10.5%
B) 12.5%
C) 15%
D) 22%
E) 50%

Solution: suppose there are X motorists.   40% of them exceeded the speed limit and received the ticket, i.e. 2X/5.   Again, suppose total no. of motorists who exceeded the speed limit are Y.   20% of Y exceeded the speed limit but didn't received the ticket, i.e. Y/5.   it means 4Y/5 received the ticket.   hence, 4Y/5 = 2X/5   or Y/X=1/2   or Y/X * 100= 1/2 * 100= 
1/2 * 100 = 50
50%   50%
Answer: E
Tanks C and B are each in the shape of a right circular cylinder. The interior of tank C has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank C is what percent of the capacity of tank B?	Choose the correct option
A) 75%  B) 80%  C) 100%  D) 120%  E) 125%

Solution: B.   For C, r=8/2pi. Its capacity = (4pi)^2 * 10= 160pi   For B, r=10/pi. Its capacity = (5pi)^2 *8 = 200pi   C/80% = 160pi/200pi = 0.8160  /200= 
160  /200 = 4/5 = around 0.8
0.8
Answer: B
A college has raised 75% of the amount it needs for a new building by receiving an average donation of Rs. 600 from the people already solicited. The people already solicited represent 60% of the people, the college will ask for donations. If the college is to raise exactly the amount needed for the new building, what should be the average donation from the remaining people be solicited? Pick one
A) 300	B) 250	C) 400	D) 500	E) None

Solution: Solution: Let the number of people be x who has been asked for the donations.   People already solicited = 60% of x = 0.6x   Remaining people = 40% of x = 0.4x   Amount collected from the people solicited,   = 600 *0.6= 
600 *0.6 = 360
360x   360x= 75% of the amount collected.   Remaining amount = 25% = 120x   Thus,   Average donations from remaining people,   = 120x /0.4x = 300.   300nswer: Option 300120  /0.4= 
120  /0.4 = 300
300.   300nswer: Option 300
Answer: A
Train A left Centerville Station, heading toward Dale City Station, at 3: 00 p.m. Train B left Dale City Station, heading toward Centerville Station, at 3: 20 p.m. on the same day. The trains rode on straight tracks that were parallel to each other. If Train A traveled at a constant speed of 30 miles per hour and Train B traveled at a constant speed of 10 miles per hour, and the distance between the Centerville Station and Dale City Station is 90 miles, when did the trains pass each other?  Pick one:
A) 4: 45 p.m.	B) 5: 00 p.m.	C) 5: 20 p.m.	D) 5: 35 p.m	E) 6: 00 p.m

Solution: the distance travelled by the train A in first 20 minutes will be 10.   The distance which will be remaining is 80.   Now both trains are running in opposite direction.Their speed will be added so 40.   Time at which they will meet =80/40= 
80/40 = 2
2   time of train B will be 3:20 +2=5:20   ANSWER:5: 20 p.m.
Answer: C
A rectangular field 30 m long and 20 m broad. How much deep it should be dug so that from the earth taken out, a platform can be formed which is 8 m long, 5.5 m broad and 1.5 m high where as the earth taken out is increase by 10/5? Choose the correct choice from the following choices
A) 12 cm
B) 10 cm
C) 83 cm
D) 20 cm
E) 30 cm

Solution: 30 * 20 * x   = (8 * 5.5 * 1.5)/2=10   Answer:10 cm
Answer: B
A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start?
Choose the correct choice
A) 2 hours	B) 7 hours	C) 8 hours	D) 3 hours	E) 3 hours

Solution: |-----------20--------------------|   50 40   D = 20   RS = 50 – 40 = 10   T = 20/10= 
20/10 = 2
2 hours   2 hoursnswer:2 hours
Answer: A
Find the mean proportional of the following pairs of numbers 6 and 24.  Choose the correct choice from the following.
A) 27
B) 28
C) 29
D) 23
E) 12

Solution: Required number of trees   = 24/36 * 42= 
24/36 * 42 = 28
28.   Answer:28
Answer: B
A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 12m/h. what is the speedof the person while he was going to his office?	Choose one:
A) 8km/h  B) 12km/h  C) 14km/h  D) 16km/h  E) 17km/h

Solution: u = k , v= 3k   \inline \therefore \frac{2uv}{u+v}\: \: \Rightarrow \frac{2\times k\times 3k}{(k+3k)}=12   \inline \Rightarrow 1.5k = 12   \inline \Rightarrow k=8km/h   8km/h
Answer: A
5 men and 3 boys working together can do four times as much work as a man and a boy. Working capacity of man and boy is in the ratio
Select the correct option.
A) 1:1 B) 1:3 C) 2:1 D) 2:3 E) None of these

Solution: Explanation:   Let 1 man 1 day work = x   1 boy 1 day work = y   then 5x + 3y = 4(x+y)   => x = y   => x/y = 1/1   => x:y = 1:1   Option 1:1
Answer: A
Carol and Jordan draw rectangles of equal area. If Carol's rectangle measures 5 inches by 24 inches and Jordan's rectangle is 3 inches long, how wide is Jordan's rectangle, in inches?  Choose the correct choice from the following answers:	A) 25	B) 43	C) 42	D) 40	E) 18

Solution: Area of Carol's rectangle = 24*5= 
24*5 = 120
120   Let width of Jordan's rectangle= w   Since , the areas are equal   3w = 120   =>w = 40   Answer 40
Answer: D
Three cubes of metal whose edges are 9, 12 and 15 cm respectively, are melted and one new cube is made. Find the edge of the new cube?
Select the correct option.
A) 99 B) 88 C) 71 D) 18 E) 77

Solution: 93 + 123 + 153 = a3 => a = 18   Answer: 18
Answer: D
Two planes take off from neighboring runways at the same time. The British Airways Jet heads directly East at 300 Km/Hr, while the American Airlines Jet takes off heading directly west at 250km/hr. At this speed, how long before the two planes are 2,000 Km away from each other? Choose the correct choice:
A) 4 hours  B) 3.75 hours  C) 3.0 hours  D) 3.5 hours  E) 3.63 Hours

Solution: For every hour the planes travel in opposite directions, they are 550 Km away from each other. So to be 2,000 Km away, it would take (2,000 Km/550 Km/Hour= 3.63 Hours).   Answer is 3.63 Hours
Answer: E
If the sum of a number and its square is 210, What is the number?
Choose the correct choice from the following options
A) 16	B) 14	C) 25	D) 87	E) 171

Solution: Explanation:   Let the integer be x.   Then, x + x2 = 210   x2 + x - 210 = 0   (x + 15) (x – 14) = 0   x = 14   ANSWER: 14
Answer: B
During a clearance sale, a retailer discounted the original price of its TVs by 30% for the first two weeks of the month, then for the remainder of the month further reduced the price by taking 20% off the sale price. For those who purchased TVs during the last week of the month, what percent of the original price did they have to pay? Pick:
A) 40%
B) 45%
C) 56%
D) 60%
E) 62.5%

Solution: VERITAS PREPOFFICIAL SOLUTION:   C With percent problems, the key is often to make sure that you take the percent of the correct value. In this case, the initial 30% off means that customers will pay 70% of the original price. Then for the second discount, keep in mind that the discount is taken off of the sale price, not of the original price. So that's 20% off of the 70% that they did pay, which can be made easier by looking at what the customer does pay: 80% of the 70% sale price. Using fractions, that means they pay: 4/5*(0.7) of the original price, which nets to 0.56 of the original price, or 56%.
Answer: C
In how many ways a committee consisting of 3 men and 2 women can be formed from 4 men and 9 women?	Options:  A) A)144  B) B)15  C) C)20  D) D)18  E) E)21

Solution: Required number of ways = 4C3*9C2 = 4*36= 
4*36 = 144
144   144nswer is 144
Answer: A
Average of first five multiples of 10 is  Choose the correct answer:
A) 9	B) 11	C) 30	D) 15	E) 17

Solution: Explanation:   Average=10(1+2+3+4+5) / 5=150 / 5= 
150 / 5 = 30
30   Option 30
Answer: C
Of the land owned by a farmer, 90 percent was cleared for planting. Of the cleared land, 60 percent was planted with grapes and 30 percent of the cleared land was planted with potato. If the remaining 360 acres of cleared land was planted with tomato, how many acres did the farmer own?	Choose the correct answer:	A) 3250	B) 3450	C) 4000	D) 3750	E) 3800

Solution: 60% of 90% = 54%, 30% 0f 90% = 27% so the remaining  90-54-27= 
 90-54-27 = 9
9%=360 acres or 10% of 90%=9% --> 360/9*100=4000 acres Answer (4000)
Answer: C
There are 2 friends Peter and Paul. Peter age is twice as old as Paul when peter was as old as Paul is now. Sum of the present ages of Peter and Paul is 35.What is the present age of Peter? Choose the correct choice:
A) 10
B) 15
C) 20
D) 25
E) 30

Solution: let pauls age be 'a' and peters be 'e'   e+a=35 (given)   e=35-a ------eq1   when peter was as old as paul that is when peter's age was 'a'   pauls age was a-(e-a) =2a-e   now peters age is e=2(2a-e)   e=4a-2e   3e=4a   3(35-a)=4a   105-3a=4a   a=15   hence e=20   ANSWER:20
Answer: C
Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:  Choose the correct choice from the following choices.
A) 1/7 B) 1/8 C) 1/9 D) 7/8 E) 1/5

Solution: Original share of 1 person = 1/8   New share of 1 person = 1/7   Increase =(1/7-1/8) = 1/56   Required fraction = (1/56)/(1/8)   = (1/56)*8   = 1/7   1/7NSWER:1/7
Answer: A
The sequence x1, x2, x3,..., is such that Xn = 1/n - (1/(n+1)). What is the sum of the first 200 terms of the sequence?
Options:
A) 201/100  B) 99/100  C) 100/101  D) 1/10000  E) 200/201

Solution: Easy task and accomplish   X1=1-1/2   x2=1/2-1/3   x3=1/3-1/4   .....   x199=1/199-1/200   x200=1/200-1/201   sum=X1+X2+X3+....X200=1-1/2+1/2-1/3+.......1/199-1/200+1/200-1/201=1-1/201=200/201   200/201 is the answer
Answer: E
In a mixture of 60 litres the ratio of milk to water is 5:1. Additional 20 litres of water is added to the mixture. Find the ratio of milk to water in the resulting mixture. Choose one
A) 2:3  B) 5:3  C) 1:4  D) 3:2  E) 3:1

Solution: Given that Milk/Water=5x/x and 5x+x=60 --> x=10.   Thus Milk=5x=50 liters and Water=x=10 liters.   New ratio = 50/(20+10) = 50/30 = 5/3.   Answer is 5:3
Answer: B
A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
Choose the correct answer.
A) 2.9 hrs  B) 8.9 hrs  C) 2.9 hrs  D) 7.2 hrs  E) 8.6 hrs

Solution: Net part filled in 1 hour = (1/4 - 1/9)   = 5/36   The cistern will be filled in 36/5 hrs i.e., 7.2 hrs.   Answer:7.2 hrs
Answer: D
If (10^67) – 63 is written as a base 10 integer, which of the following options is the sum of the digits in that integer?
Choose the correct answer:
A) 598 B) 495 C) 590 D) 595 E) 695

Solution: We know that (10^67) is ending 00, so (10^67) – 63=9....9937   total number of digits in (10^20) – 63 is 67, or 65 digits of 9 and two digits 3 and 7.   answer choice is   65*9+10= 
  65*9+10 = 595
595   Answer is 595 595
Answer: D
A relay has a series of 5 circuits in a line. The even-numbered circuits are control circuits; the odd are buffer circuits. If both a control circuit and the buffer circuit immediately following it both fail in that order, then the relay fails. The probability of circuit one failing is 1/8; circuit two, 3/8; circuit three, 3/10; circuit four, 3/4; and circuit five, 2/5 .What is the probability that the relay fails?	Pick.
A) 9/80  B) 3/10  C) 35/80  D) 303/800  E) 497/800

Solution: The first circuit doesn't matter.   Prob(relay fails) = 1 - Prob(relay succeeds)   Prob(2+3 work) = 1 - 9/80 = 71/80   Prob(4+5 work) = 1 - 3/10 = 7/10   Prob(relay fails) = 1 - Prob(2+3 work AN303/800 4+5 work) = 1 - (71/80)(7/10) = 1 - 497/800 = 303/800   303/800
Answer: D
Effective annual rate of interest corresponding to nominal rate of 6% per annum compounded half yearly will be Pick:
A) 6.09%
B) 6.10%
C) 6.12%
D) 6.14%
E) None of these

Solution: Explanation:   Let the amount Rs 100 for 1 year when compounded half yearly, n = 2, Rate = 6/2= 
6/2 = 3
3%   6.09%mount=100(1+3/100)2=106.09   Effective rate = (106.09 - 100)= 
(106.09 - 100) = 6.09
6.09%   Option 6.09%
Answer: A
If the average (arithmetic mean) of x + 1, x + 4, and x + 7 is 0, then x =
Choose the most appropriate option
A) –4
B) –3
C) –2
D) –1
E) 0

Solution: (x+1 + x+4 + x+7)/3 = 0   =>3x + 12 = 0   =>x = -4   –4nswer –4
Answer: A
Find the average of first 20 natural numbers.
Choose the correct choice from the following:
A) A)11.5
B) B)20.5
C) C)10.5
D) D)15.5
E) E)21.9

Solution: Sum of first n natural numbers = n(n+1)/2   sum of first 20 natural numbers = 20*21/2= 
20*21/2 = 210
210   average= 210/20= 
210/20 = 21/2 = around 10.5
10.5   Answer is 10.5
Answer: C
Difference between the length and breadth of a rectangle is 23 m. Ifits perimeter is 206 m, then its area is?? Pick
A) 1220 m^2	B) 1520 m^2	C) 2520 m^2	D) 2600 m^2	E) 3420 m^2

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.   Area = (l x b) = (63 x 40) m2 = 2520 m^2   2520 m^2
Answer: C
A man can row upstream at 12kmph and downstream at 14kmph. Find man's rate in still water ? Choose the correct choice.
A) 5km/hr  B) 15km/hr  C) 13km/hr  D) 20km/hr  E) 7.5km/hr

Solution: Rate in still water = 1/2 (12+14) = 13km/hr   Answer is 13km/hr
Answer: C
The forth proportional to 5,10,20 is?
Options:	A) 20	B) 40	C) 45	D) 80	E) 35

Solution: Let the fourth proportional to 5,10,20 be x   then 5:10::20:x   5x = 10*20   x = 40   Answer is 40
Answer: B
6 private companies bought a share of 2 million dollars. If the all companies have to pay the same amount and none of them have bills smaller than $1, how much money would they have to pay?
Options:  Select.
A) $2,000,000 B) $2,000,001 C) $2,000,004 D) $2,000,007 E) $2,000,009

Solution: In order to divide the sum in 6 shares, the amount must be divisible by 6   Divisibility rule of 6: The sum of the digits must be divisible by 6   Sum of digits of 2,000,000 = 2 and 6 is divisible by 6.   Hence, we need to add 4 to this number for it to be divisible by 6   $2,000,004orrect Option: c   $2,000,004orrect Option:	$2,000,004
Answer: C
The average (arithmetic mean) of four numbers is 4x + 6. If one of the numbers is x, what is the average of the other three numbers?	Choose the correct answer.
A) x + 1	B) 3x + 3	C) 5x + 8	D) 5x + 4	E) 15x + 12

Solution: The sum of all four numbers is 4 * (4x + 6) = 16x + 24.   If one of the numbers is x, the sum of the other 3 numbers is 15x+24.   The average of the remaining three numbers is (15x+24)/3 = 5x+8.   The answer is 5x + 8.
Answer: C
Tavid has d books, which is 3 times as many as Jeff and 1/2 as many as Paula. How many books do the three of them have altogether, in terms of d? Select:
A) 5/6*d	B) 7/3*d	C) 10/3*d	D) 7/2*d	E) 9/2*d

Solution: Tavid has d books;   Jeff has d/3 books;   Paula has 2d books;   Total = d+d/3+2d=10d/3.   Answer: 10/3*d.
Answer: C
A man purchased 3 blankets @ Rs.100 each, 1 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?	Options.
A) 1050  B) 2770  C) 1550  D) 5102  E) 5000

Solution: 10 * 150= 
10 * 150 = 1_500
1500   3 * 100 + 1 * 150= 
3 * 100 + 1 * 150 = 450
450   1500 – 450= 1050   1050nswer:1050
Answer: A
The side of a square is increased by 30% then how much % does its area increases?
Choices:
A) 52.65	B) 69	C) 50.75	D) 42.75	E) 52.75

Solution: a = 100 a2 = 10000   a = 130 a2 = 16900   ----------------   10000 --------- 6900   100 -------? => 69 %   ANSWER: 69
Answer: B