MU-NLPC/Calc-aqua_rat huggingface dataset:
The credit card and a global payment processing companies have been suffering losses for some time now. A well known company recently announced its quarterly results. According to the results, the revenue fell to $48.0 billion from $72.0 billion, a year ago. By what percent did the revenue fall?  Choose the correct answer:
A) 20.8
B) 30.4
C) 31.8
D) 32.5
E) 33.3

Solution: $72-$48=24$   (24/72)*10072- 48= 
72- 48 = 24
24$   (24/72)*100=33.33%   ANSW33.3R:33.3
Answer: E
If two numbers are in the ratio 5:2. If 20 is subtracted from both of the numbers then the ratio becomes 4:2 then find the smallest number?	Select:
A) 30
B) 20
C) 40
D) 50
E) 12

Solution: 5:2   5x - 20 : 3x - 20 = 4 : 2   2[5x - 20] = 4[3x - 20]   10x - 40 = 12x - 80   12x - 10x = 80 - 40   x = 20   Then smallest number is = 2x   2x = 40   40
Answer: C
A train 150 m long passes a man,running at 6 kmph in the direction opposite to that of the train,in 6 seconds.The speed of the train is
Choose the correct option:	A) 54 kmph	B) 60 kmph	C) 66 kmph	D) 72 kmph	E) 84 kmph

Solution: speed of train relative to man: 150/6 * 18/5 km/hr   = 90 km/hr   let speed of train= x   therefore x+6 = 90   x= 90-6= 
90-6 = 84
84 km/hr   ANSW84 kmphR:84 kmph
Answer: E
In his pocket, a boy has 3 red marbles, 5 blue marbles, and 5 green marbles. How many will he have to take out of his pocket to ensure that he has taken out at least one of each color? Choose the correct choice from the following options.
A) 9 B) 10 C) 11 D) 12 E) 13

Solution: The worst case scenario would be that he has taken 5 blue and 5 green, a total of 10 marbles, and still doesn't have 3 distinct colors. But the next draw, marble number 11, will surely be red as only the red marbles are left in his pocket.   The answer is 11.
Answer: C
Of 800 surveyed students, 20% of those who read book A also read book B and 25% of those who read book B also read book A. If each student read at least one of the books, what is the difference between the number of students who read only book A and the number of students who read only book B?  Choose the correct option: A) 20 B) 25 C) 30 D) 55 E) 100

Solution: Say the number of students who read book A is A and the number of students who read book B is B.   Given that 20% of those who read book A also read book B and 25% of those who read book B also read book A, so the number of students who read both books is 0.2A=0.25B --> A=1.25B.   Since each student read at least one of the books then {total}={A}+{B}-{Both} --> 800=1.25B+B-0.25B --> B=400, A=1.25B=500 and {Both}=0.25B=100.   The number of students who read only book A is {A}-{Both}=500-100= 
500-100 = 400
400;   The number of students who read only book B is {B}-{Both}=400-100= 
400-100 = 300
300;   The difference is  400-300= 
 400-300 = 100
100.   Answer: 100.
Answer: E
What is the ratio W of the surface area of a cube to the surface area of a rectangular solid identical to the cube in all ways except that its length has been doubled?
Choose the correct choice from the following options.
A) 1/4 B) 3/8 C) 1/2 D) 3/5 E) 2

Solution: Let X be the side of the cube. Therefore X^2*6= surface area.   the rectangle is the same other than length is 2X. The width and height are the same as the cube. 2*W*H+2*W*L+2*H*L= 2X^2+4X^2+4X^2= 10X^2.   6X^2/10X^2 = 3/5 = W.   Answer = 3/5
Answer: D
A fruit seller had some apples. He sells 40% apples and still he has 420. Originally he had how many apples?	Choose the correct answer
A) 400 B) 500 C) 700 D) 450 E) 650

Solution: Suppose originally he had x apples   then (100-40)% of x = 420   60x/100 = 420   x= 700   Answer is 700
Answer: C
If two girls starting from same point, walking in the opposite directions with 5km/hr and 10km/hr as average speeds respectively. Then the distance between them after 5 hours is?
Choose the correct answer:
A) 45 B) 55 C) 65 D) 75 E) 85

Solution: Explanation:   Total distance = 75istance traveled by person A+ 75istance traveled by person B   = (5Ã— 5) + (10Ã— 5)   = 25+ 50= 
25+ 50 = 75
75 Km   Answer:75
Answer: D
Exactly 10% of the reporters for a certain wire service cover local politics in Country X. If 30% of the reporters who cover politics for the wire service do not cover local politics in Country X, what percent of the reporters for the wire service do not cover politics?  Choose the correct choice from the following
A) 20%	B) 42%	C) 44%	D) 85%	E) 84%

Solution: You are correct. People who cover local politics are a subset of people who cover politics.   30% of reporters who cover politics do not cover local politics so 70% DO cover local politics.   Reporters covering local politics= 70% of reporters covering politics= 10% of all reporters   Reporters covering politics/All Reporters = 10/70 = 1/7   Reporters not covering politics/All Reporters = 6/7 = 85%=85%
Answer: D
Mary sold boxes of butter cookies. Ann sold 5 times as much as she did. 18 boxes of cookies were sold that day, how many boxes did Mary sell?  Choices:
A) 3 B) 5 C) 6 D) 10 E) 18

Solution: # of boxes of cookies Mary sold = x   3nn sold 5 times more = 5x   x + 5x = 18   6x = 18   x = 18/6= 
18/6 = 3
3   3NSWER: 3
Answer: A
The numbers of pizza slices that are sold in Joey's Pizza are only in quantities of 2 and 4 slices per customer. How many slices cannot be bought? Select the correct option:
A) 42.	B) 38.	C) 33.	D) 22.	E) 20.

Solution: Let X pizzas of 2 slices and Y pizzas of 4 slices.   2X + 4Y.   Lets check options wise.   A. 42 => 2(15) + 4(3)   B. 38 => 2(15) + 4(2)   C. 33 = we can't write anything with 5 and 8 series..Lets try 2(15) + 4(3) = 32 , 2(16) + 4(3) = 34 , nothing works out.   D. 22 => 2(10) + 4(3)   E. 20 => 2(6) + 4(2)   Answer: correct option is 33.
Answer: C
What will come in place of the x in the following Number series? 46080, 3840, 384, 48, ?, 2, 1	Answers: A) 1 B) 3 C) 5 D) 8 E) 9

Solution: 46080 /12= 
46080 /12 = 3_840
3840   3840 /10= 
3840 /10 = 384
384   384 /8= 
384 /8 = 48
48   48 /6= 
48 /6 = 8
8   8/4= 
8/4 = 2
2   2 /2= 
2 /2 = 1
1   8
Answer: D
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 3 boys when a boy gets any no. of prizes?  Choose the correct choice from the following options
A) 55	B) 58	C) 64	D) 65	E) 27

Solution: Ans.(E)   Sol. In this case, repetitions are allowed, so all the three prizes can be given in 4 ways, i.e. (3 x 3 x 3) ways = 33 ways = 27 ways Or nr ways = 33 ways = 27 ways
Answer: E
In a jar there are 3 golf balls and 2 ping pong balls. What is the probability of drawing at least one golf ball when drawing two consecutive balls randomly?  Options:  A) 1/4  B) 1/2  C) 3/5  D) 9/10  E) 16/20

Solution: P(at least one gold ball) = 1 - P(no golf ball, so 2 ping pong balls) = 1- 2/5*1/4 = 9/10.   Answer: 9/10.
Answer: D
A train 360 m long runs with a speed of 45 km/hr. What time will it take to pass a platform of 150 m long?
Choose the correct answer.
A) 38 sec B) 35 sec C) 44 sec D) 40.8 sec E) none of these

Solution: Speed = 45 km/hr = 45 Ã— (5/18) m/s   = 150/12 = 50/4 = 25/2 m/s   Total distance = length of the train + length of the platform   = 360 + 150= 
360 + 150 = 510
510 meter   Time taken to cross the platform= 510/(25/2) = 510 Ã— 2/25 = 40.8 seconds   ANSWER:40.8 sec
Answer: D
If x + y = 3 and x – y = 3, then x^2 - y^2 =
Select:
A) -4	B) 4	C) 10	D) 9	E) 40

Solution: The fastest approach has already been shown. Here's one more option.   Given:   x + y = 3   x – y = 3   Add the two equations to get: 2x = 6, which means x = 3   If x = 3, we can plug that value into either equation, to conclude that y = 0   If x = 3 and y = 0, then x² - y² = 9   Answer: 9
Answer: D
The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?  Choose the correct choice from the following answers
A) 76 kg  B) 76.5 kg  C) 85 kg  D) Data inadequate  E) None of these

Solution: Total weight increased = (8 x 2.5) kg = 20 kg.   Weight of new person = (65 + 20)= 
(65 + 20) = 85
85 kg.   Answer: Option 85 kg
Answer: C
A certain country had a total annual expenditure of $2.4 x 10^11 last year. If the population of the country was 240 million last year, what was the per capita expenditure?	Choose the correct choice:
A) $ 500
B) $1,000
C) $2,000
D) $3,000
E) $5,000

Solution: Total expenditure / Population = per capita expenditure   Hence, (2,4 x 10^11) / 240 000 000 = (2,4 x 10^11) / (2,4 x 10^8) = 1 x 10^(11-8) =   1 x 10^3 = 1000.   Answer is $1,000.
Answer: B
A, B, C together started a business. A invested Rs.5000 for 5 months B invested Rs.3000 for 6 months and C Rs.7000 for 3 months. If they get a total profit of Rs.7600. Find the share of A?  Choose one:
A) 2999	B) 2500	C) 2777	D) 2999	E) 17212

Solution: 5*5:3*6:7*3   25 : 30 : 21   25/76 * 7600= 
25/76 * 7600 = 2_500
2500   Answer:2500
Answer: B
A cycle is bought for Rs.900 and sold for Rs.1260, find the gain percent? Choose the most appropriate option.
A) 40% B) 20% C) 80% D) 30% E) 24%

Solution: 900 ---- 360   100 ---- ? => 40%   40%nswer: 40%
Answer: A
The sum of two numbers is 45. Sum of their quotient and reciprocal is 2.05, Find the product of the numbers.  Choose the correct choice from the following answers
A) 339	B) 500	C) 288	D) 277	E) 112

Solution: Sol: Let a, b be the numbers.   a + b = 45   ab+baab+ba = 2.05   ⇒a2+b2ab⇒a2+b2ab = 2.05   ⇒(a+b)2−2abab=2.05⇒(a+b)2−2abab=2.05   ⇒(a+b)2⇒(a+b)2 = 2.05ab + 2ab = 4.05ab   ⇒⇒ ab = 4524.054524.05 = 500   Answer:500
Answer: B
For positive integers m and n, which of the following can be written as n^2?  Options
A) m+2  B) m+3  C) m+1  D) m+4  E) m-2

Solution: Plug values: if m=8, then m+1=9   The question asks which of the following CAN be written as y^2. If m=8, then m+1 CAN be written as 3^2.   Answer: m+4
Answer: D
A and B can together finish a work in 40days. They worked together for 10days and then B left. After another 6 days, A finished the remaining work. In how many days A alone can finish the job?	Choose the correct choice
A) 10	B) 25	C) 60	D) 8	E) 20

Solution: A+B 10days work = 10*1/40 +  10= 
+  10 = 10
10*1/40= 1/4   Remaining work = 1-1/4 = 3/4   3/4 work is done by A in 6 days   whole work will be done by A in  6 *4/3= 
 6 *4/3 = 8
8days   Answer is 8
Answer: D
Jenny received a 10% raise each month for three consecutive months. What was her salary after the three raises if her starting salary was $2,000 per month? Pick one:
A) $2,248
B) $2,300
C) $2,331
D) $2,410
E) $2,662

Solution: 2000 * 1.1 * 1.1 * 1.1 = 2000 * 1.331= 
2000 * 1.331 = 2_662
2662   Answer: $2,662
Answer: E
A football team lost 5 yards and then gained 7. What is the team's progress?  Choose the correct option:  A) 2  B) 4  C) 5  D) 6  E) 8

Solution: For lost, use negative. For gain, use positive.   Progress = -5 + 7= 
-5 + 7 = 2
2 yards   2
Answer: A
A train , having a length of 275 meter is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that of the train Options.
A) 10 sec
B) 8 sec
C) 15 sec
D) 4 sec
E) 2 sec

Solution: Explanation:   Distance = 275 m   Relative speed = 60+6= 
60+6 = 66
66 kmph (Since both the train and the man are in moving in opposite direction)= 66×10/36 mps = 110/6 mps   Time = distance/speed = 275/(110/6)= 
275/(110/6) = 15
15 s   Answer: Option 15 sec
Answer: C
In an election between two candidates A and B, the number of valid votes received by A exceeds those received by B by 15% of the total number of votes polled. If 20% of the votes polled were invalid and a total of 8720 votes were polled, then how many valid votes did B get?  Choose the correct choice from the following.
A) 2837  B) 2839  C) 2834  D) 2822  E) 2823

Solution: Let the total number of votes polled in the election be 100k.   Number of valid votes = 100k - 20% (100k) = 80k   Let the number of votes polled in favour of A and B be a and b respectively.   a - b = 15% (100k) => a = b + 15k   => a + b = b + 15k + b   Now, 2b + 15k = 80k and hence b = 32.5k   It is given that 100k = 8720   32.5k = 32.5k/100k * 8720 = 2834   The number of valid votes polled in favour of B is 2834.   Answer:283432.5 /100  * 8720= 
32.5 /100  * 8720 = 2_834
2834   The number of valid votes polled in favour of B is 2834.   Answer:2834
Answer: C
Rahim bought 65 books for Rs.1150 from one shop and 50 books for Rs.920 from another. What is the average price he paid per book ?
Select:	A) 38	B) 18	C) 99	D) 277	E) 22

Solution: Average price per book = (1150 + 920) / (65 + 50) = 2070 / 115 = Rs.18.Answer:18
Answer: B
Solve for x: 2x – y = (3/4)x + 6.  Answers.
A) (y + 6)/5 B) 4(y + 6)/5 C) (y + 6) D) 4(y - 6)/5 E) 5/4(y-6)

Solution: Solution:   2x – y = (3/4)x + 6.   or, 2x - (3/4)x = y + 6.   or, (8x -3x)/4 = y + 6.   or, 5x/4 = y + 6.   or, 5x = 4(y + 6).   or, 5x = 4y + 24.   or, x = (4y + 24)/5.   Therefore, x = 4(y + 6)/5.   correct answer 4(y + 6)/5
Answer: B
The average of 9 numbers is 7 and the average of 7 other numbers is 6. What is the average of all 16 numbers?  Choose the correct choice from the following answers.
A) 6 9/16  B) 8  C) 7 7⁄8  D) 7 1⁄2  E) 7 1⁄4

Solution: The average of 9 numbers is 7....   The sum of those numbers is (9)(7) = 63.   The average of 7 other numbers is 6....   The sum of those numbers is (7)(6) = 42   The sum of ALL 16 numbers is 63+42= 
63+42 = 105
105. The average of those numbers is 105/16= 6 9/16.   Final 6 9/16nswer:   [Reveal]Spoiler:   6 9/16
Answer: A
A windmill is taking advantage of strong air currents in order to produce electrical energy. On a typical day the wind speed is around 20 mph and in that speed the windmill produces 800 kw/h (kilowatts per hour). On a stormy day a windmill produces 20% more energy. How much kw/h can three windmills produce in two hours on a stormy day?  Choose the correct choice from the following answers
A) 2880.
B) 4860.
C) 5780
D) 5760
E) 6380.

Solution: Normal 5760ay = 800 kw/h   Stormy 5760ay = 800*1.2= 
800*1.2 = 960
960 kw/h   3 windmills for 2 hours on stormy day     960*3*2= 
  960*3*2 = 5_760
5760   Answer: 5760
Answer: D
3x^2 - x - 4 =
Choose the correct option:  A) (3x-4)(x-2)  B) (3x-4)(x+2)  C) (3x-4)(x-3)  D) (3x-2)(x+1)  E) none of above

Solution: 3x^2 + 2x - 8   = 3x^2 + 3x - 4x - 4   = 3x (x + 1) - 4 (x+1)   = (3x-4) (x+1)   Option (3x-2)(x+1)
Answer: D
In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of five metre is left from all sides of the boundary of the garden. What is the length of the garden?	Options: A) 32 B) 24 C) 26 D) 28 E) 30

Solution: Between the 12 mango trees, there are 11 gaps and each gap has 2 meter length   Also, 5 meter is left from all sides of the boundary of the garden.   Hence, length of the garden = (11 Ã— 2) + 5 + 5 = 32 meter   32nswer is 32.
Answer: A
What number is that, to which, if its half be added, and from the sum 20 be subtracted, the remainder will be a fourth of the number itself?	Choose one.
A) 16/3
B) 16/2
C) 16/4
D) 16/1
E) None

Solution: let x be put for the number required.   Then by the conditions proposed, x + x/2 - 20 = x/4   And reducing the equation x = 16.   Proof, 16 + 16/2 - 20 = 16/4.   Answer 16/4
Answer: C
A woman has four blouses of different colors, three skirts of different colors, and two different pairs of shoes. She refuses to wear her pink blouse with her green skirt. How many different blouseskirt-shoe combinations could she wear?  Choose the correct choice from the following options
A) 8	B) 22	C) 16	D) 17	E) 18

Solution: total ways = 4*3*2=24..   now its better to find the ways in which the pink blose and green skirty are together and subtract from total to get the answer..   the ways in which the pink blose and green skirty are together=1*1*2=2..   total ways =24-2=22..   22
Answer: B
How many of the positive factors of 33 are not factors of 45?	Pick:
A) 0 B) 1 C) 2 D) 3 E) 4

Solution: Factors of 33 - 1, 3, 11, 33,   factors of 45- 1, 3, 5, 9, 15, 45,   2omparing both, we have three factors of 33 which are not factors of 45- 11, 33,   The answer is 2
Answer: C
A box contains ten bulbs out of which 5 are defective. If five bulbs are chosen at random, find the probability that atleast one bulb is good?
Select:
A) 251/252
B) 242/243
C) 258/259
D) 265/266
E) 247/248

Solution: Required probability=1-5C5/10C5= 1 - 1/252= 251/252251/252nswer:251/252
Answer: A
In how many ways can 5 people, A, B, C, D, E, be seated in a row such that C and D are not seated next to each other as well as A and B are not seated next to each other? Choose one.
A) 384
B) 396
C) 576
D) 24
E) 696

Solution: Number of total arrangements = 5!   Restriction 1= ABC24 not next to each other --> let say AB and C24 are considered as one unit, respectively   Restriction 2= AB is not the same as BA + C24 is not the same as 24C --> the number will increase by 2*2   Total number of arrangements - Number out of restrictions = Result   5! - (4!*2*2) = 120 - (24*2*2)= 
120 - (24*2*2) = 24
24   Answer 24
Answer: D
A box contains 3 blue marbles, 4 red, 5 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue? Choose one.
A) 1/364
B) 2/455
C) 1/91
D) 4/455
E) None of these

Solution: Given that there are three blue marbles, four red marbles, five green marbles and two yellow marbles.   Probability that all the three marbles picked at random are blue = 3C₃/14C₃ = (1 * 3 * 2 * 1)/(14 * 13 * 12) = 1/364   1/364NSWER:1/364
Answer: A
A train 280 m long, running with a speed of 63 km/hr will pass a tree in?  Choose the most appropriate option:	A) 15 sec	B) 16 sec	C) 18 sec	D) 20 sec	E) 25 sec

Solution: Speed = 63 * 5/18 = 35/2 m/sec   Time taken = 280 * 2/35= 
280 * 2/35 = 16
16 sec   ANSWER: 16 sec
Answer: B
The cost of carpeting a room 18m long with a carpet 75cm wide at 45 paise per meter is Rs.81. The breadth of the room is:  Select.
A) 7m B) 7.5metre C) 5.5m D) 6.5m E) 8.5m

Solution: Length of the carpet= Total cost/ rate/m= 8100/45= 
8100/45 = 180
180m   Area of the carpet= 180*75/100= 
180*75/100 = 135
135m2   7.5metrereadth of the room= (Area/ length)= 135/18= 
135/18 = 15/2 = around 7.5
7.5m   ANSWER:7.5metre
Answer: B
The area of the floor of a room is 20 m2 that of a longer wall 15 m2 and of the shorter wall 12 m2, find the edge of the new cube?	Pick.
A) 40 m3	B) 50 m3	C) 60 m3	D) 90 m3	E) 40 m3

Solution: Explanation:   lb = 20 ; lh = 15 ; fh = 12   (lbh)2 = 20 * 15 * 12 => lbh = 60 m3   Answer: Option 60 m3
Answer: C
-20 , -16 , -12 , -8 ....
In the sequence above, each term after the first is 5 greater than the preceding term. Which of the following could not be a term in the sequence?  Select the correct option:
A) 0
B) 200
C) 440
D) 665
E) 762

Solution: Ans : 762 762   Since 762 is not divisible by 5 , all the other options are divisible by 5
Answer: E
The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ?  Choices: A) 1200 B) 2400 C) 4800 D) Cannot be determined E) None

Solution: Let the price of a saree and a shirt be Rs. x and Rs. y respectively.   Then, 2x + 4y = 1600 .... (i)   and x + 6y = 1600 .... (ii)   Divide equation (i) by 2, we get the below equation.   => x + 2y = 800. --- (iii)   Solve the (ii) and (iii) equations,then will get   Therefore, y = 200.   Now apply value of y in (iii)   => x + 2 x 200 = 800   => x + 400 = 800   Therefore x = 400   Solving (i) and (ii) we get x = 400, y = 200.   Cost of 12 shirts = Rs. (12 x 200) = Rs. 2400.   Option 2400
Answer: B
How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2, 3 and 4, if repetition of digits is allowed?
Pick:
A) 376
B) 367
C) 297
D) 268
E) 198

Solution: The smallest number in the series is 1000, a 4-digit number.   The largest number in the series is 4000, the only 4-digit number to start with 4.   The left most digit (thousands place) of each of the 4 digit numbers other than 4000 can take one of the 3 values 1 or 2 or 3.   The next 3 digits (hundreds, tens and units place) can take any of the 5 values 0 or 1 or 2 or 3 or 4.   Hence, there are 3 x 5 x 5 x 5 or 375 numbers from 1000 to 3999.   Including 4000, there will be 376 such numbers.   376nswer: 376
Answer: A
It costs $2 for the first 1/6 hour to use the laundry machine at the Laundromat. After the first ¼ hour it costs $15 per hour. If a certain customer uses the laundry machine for 2 hours and 25 minutes, how much will it cost him?	Pick:
A) $42.25.  B) $40.25.  C) $38.25.  D) $36.25.  E) $34.25

Solution: 2 hrs 25 min = 145 min   First 10 min ------> $2   Time left is 135 min...   Now, 60 min costs $ 15   1 min costs $ 15/60   145 min costs $  15/60*145= 
 15/60*145 = 145/4 = around 36.25
> $ 36.25   So, Total cost will be $36.25 + $2 => $ 38.25   Hence answer will be $38.25.36.25 +  2= 
36.25 +  2 = 38.25
> $ 38.25   Hence answer will be $38.25.
Answer: C
The events A and B are independent, the probability that event A occurs is greater than 0, and the probability that event A occurs is twice the probability that event B occurs. The probability that at least one of events A and B occurs is 5 times the probability that both events A and B occur. What is the probability that event A occurs?	Pick one: A) 1/45 B) 1/2 C) 1/8 D) 2/3 E) 2/11

Solution: Let us say probability of A occuring is a.   Let us say probability of B occuring is b.   a = 2b   Probability (either A or 1/2 or both) = 5 times Probability (A and 1/2)   a*(1-b) + b*(1-a) + ab = 5*ab   Substituting a=2b in the second equation:   2b*(1-b) + b*(1-2b) + 2b*b = 5*2b*b   3b-2b^2 = 110b^2   3b = 12b^2   b = 3/12 = 1/4   So, a = 2b = 1/2
Answer: B
If A is the set of numbers possible for the eighth term in a sequence of eight consecutive integers that has 6 as its fourth term, which of the following is A?	Pick one
A) 2 and 11  B) 2 and 10  C) 2 and 9  D) 3 and 9  E) 3 and 10

Solution: First Take 6 as the 4th term from begiining, 8th term will be 10.   Now, take 6 as the 4th last term from the beginning, 8th last term will be 2. Hence 2 and 10.
Answer: B
Today is Monday. After 61 days, it will be	Pick one
A) Thursday	B) Sunday	C) Monday	D) Saturday	E) None of these

Solution: Explanation :   61 days = 8 weeks 5 days = 5 odd days   Hence if today is Monday, After 61 days, it will be = (Monday + 5 odd days)   = Saturday .Answer : Option Saturday
Answer: D
A project manager needs to select a group of 3 people from a total of 3 men and 3 women. How many possible group combinations exist such that no group has all men ?
Choose the correct choice from the following answers.
A) 72  B) 68  C) 24  D) 19  E) 48

Solution: Since the order in which the group is selected does not matter, we are dealing with a combinations problem (and not a permutations problem).   The formula for combinations is:   N!/((N-K)!K!)   Where N = the total number of elements from which we will select, 6 people in this case.   Where K = the total number of elements to select, 3 people in this case.   The total number of combinations is therefore:   6!/((6-3)!3!) = 20   However, one of these combinations are not valid since they have all members of men   The correct answer is  20-1= 
 20-1 = 19
19. Ans 19
Answer: D
I have twenty 3g stamps and twenty 5g stamps. Using one or more of these stamps, how many
different amounts of postage can I make? Pick:
A) 150
B) 152
C) 154
D) 396
E) 400

Solution: We need to find how many positive integers can be represented in the form 3n+5m   where n and m are integers between 0 and 20, but not with both of them 0. First, let us see   which integers divisible by 3 can be represented in this form. These are 3; 6; 9; ; 60 if we   set m = 0, and if we let m be 3; 6; 9; 12; 15; or 18, we get that the multiples of 3 we can   represent are 3; 6; 9; ; 150. There are thus 50 multiples of 3 we can represent. Working   similarly, we get that 5; 8; 11; ; 155 are the integers which give remainder 2 when divided   by 3, and which we can represent, giving 51 numbers of this form. Finally, the numbers which   give remainder 1 when divided by 3, and which can be represented in the desired form, are   10; 13; 16; ; 160. There are 51 of them. So, the answer is 50 + 51 + 51= 
50 + 51 + 51 = 152
152.   correct answer 152
Answer: B