MU-NLPC/Calc-aqua_rat huggingface dataset:
A CAN FINISH A WORK IN 6 DAYS AND B CAN DO THE SAME WORK IN15 DAYS. B WORKED FOR 10 DAYS AND LEFT THE JOB. IN HOW MANY DAYS, A ALONE CAN FINISH THE REMAINING WORK?	Select
A) 2  B) 5 1/2  C) 6  D) 8  E) NONE OF THESE

Solution: B'S 10 DAY'S WORK=(1/15*10)=2/3 REMAINING WORK = (1-2/3)=1/3   NOW, 1/18 WORK IS DONE BY A IN 1 DAY   1/3 WORK IS DONE BY A IN  (6*1/3)= 
 (6*1/3) = 2
2 DAYS.   CORRECT OPTION:2
Answer: A
A certain collage has total of 400 seniors each majoring in exactly one of six subjects. A minimum of 30 seniors major in each six subjects. If three quarter of the seniors major in one of four subjects, what is the greatest possible number of seniors majoring in one of the other two subjects? Choose the correct choice from the following
A) 90  B) 60  C) 70  D) 20  E) 10

Solution: Answer is A.   Six majors are as follows: a + b + c + d + e + f   Each has at least 20 seniors: 30 + 30 + 30 + 30 + 30 + 30   4 of the majors have 300 seniors: a + b + c +d = 300   There are a total of 400 seniors.   So e + f = 120. One of the subjects has to be 20 for the other to be maximized. If e = 30, then f = 90.   90
Answer: A
Circles X and Y are concentric. If the radius of circle X is four times that of circle Y, what is the probability that a point selected inside circle X at random will be outside circle Y?  Choose the correct choice from the following.
A) 13 B) Pi/3 C) Pi/2 D) 15/16 E) 8/9

Solution: Small circle radius = a, so area = PI a ^ 2   Large circle radius = 4a, so area = 9. PI a ^ 2   Area of shaded region = 16PI a^2 - PI a^2 = 15 PI a^2   So, probability = ( 15 PI a^2 ) / (16 PI a^2 )   = 15/16= Answer = 15/16
Answer: D
A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is? Choose the correct choice from the following options:
A) 178 m
B) 168 m
C) 120 m
D) 168 m
E) 178 m

Solution: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec   = 20 m/sec.   Length of the train = 20 * 6= 
20 * 6 = 120
120 m.   Answer: 120 m
Answer: C
The ratio between the speeds of two Bullet trains is 7: 8. If the second Bullet train runs 440 kms in 5 hours, then the speed of the first train is:
Choose the most appropriate option:
A) 89.25 km/hr.
B) 77 km/hr.
C) 90.25 km/hr.
D) 94.25 km/hr.
E) 96.25 km/hr.

Solution: Let the speed of two bullet trains be 7x and 8x km/hr.   Then, 8x = (440/5)= 
(440/5) = 88
88   x= (88/8)= 
(88/8) = 11
11   Hence, speed of first bullet train= (7 x 11) km/hr = 77 km/hr.   77 km/hr.
Answer: B
The probability of pulling a black ball out of a glass jar is 1/X. The probability of pulling a black ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar?  Choose the correct choice:	A) 1/(XY).	B) X/Y.	C) Y/X.	D) 1/(X+Y)	E) 1/(X-Y).

Solution: pulling a black ball out of a glass jar and breaking the jar both are independent events.   For 2 independent events, we know, P(a) * P(b) = P(a∩b)   If Prob of pulling a black ball out of a glass jar = P(a) and Prob of breaking the jar = P(b)   1/x * P(b) = 1/y ---> P(b) = x/y   Hence, answer X/Y..
Answer: B
What will be the difference between simple and compound interest at 8% per annum on a sum of Rs. 1000 after 4 years?
Choose the correct choice from the following options
A) 64.19  B) 64.12  C) 40.5  D) 64.1  E) 64.11

Solution: S.I. = (1000 * 8 * 4)/100 = Rs. 320   C.I. = [1000 * (1 + 8/100)4 - 1000] = Rs. 360.5   Difference = (360.5 - 320) = Rs. 40.5   Answer: 40.5
Answer: C
If the wheel is 14 cm then the number of revolutions to cover a distance of 1056 cm is?	Pick one.
A) 18  B) 27  C) 26  D) 12  E) 19

Solution: 2 * 22/7 * 14 * x = 1056   => x = 12   Answer: 12
Answer: D
A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 50 as remainder. Find the no. is? Choose the correct choice
A) 220060
B) 145778
C) 220050
D) 220800
E) 220030

Solution: (555 + 445) * 2 * 110 + 50 = 220000 + 50= 
220000 + 50 = 220_050
220050   220050
Answer: C
The difference between the simple interest received from two different sources on Rs.1500 for 3 years is Rs.13.50. The difference between their rates of interest is
Choose the most appropriate option.
A) 0.1%  B) 0.2%  C) 0.3%  D) 0.4%  E) 0.5%

Solution: (1500xR1x3)/100-(100xR2x3)/100 =13.50   4500(R1-R2)=1350   R1-R2 = 1350/4500= 
1350/4500 = 3/10 = around 0.3
0.3%   answer : 0.4%
Answer: D
B takes 12 more days than A to finish a task. B and A start this task and A leaves the task 12 days before the task is finished. B completes 60% of the overall task. How long would B have taken to finish the task if he had worked independently? Pick.
A) 48 days  B) 36 days  C) 28 days  D) 32 days  E) 22 days

Solution: DETAILED SOLUTION   Let us say A and B split their share of the task and started doing their respective shares simultaneously.   Let’s say A takes A days to finish the task. Therefore, B takes A + 12 days to finish the entire task.   A has to finish 40% of the task, since B is doing the rest. So A will only take 2A/5 number of days.   B only has to finish 60% of the task, so B will take (3(A+12)/5) number of days.   But as we know, B starts working along with A and finishes 12 days after A stops working.   So, (3(A+12)/5) = ((2A)/5+12)   3A + 36 = 2A + 60   A = 24; B = 36 days.   Answer choice 36 days
Answer: B
If x is an odd negative integer and y is an even integer, which of the following statements must be true?
I. (4x - 2y) is odd
II. xy^2 is an even negative integer
III. (y^2 - x) is an odd negative integer	Select.
A) I only  B) I,II,III NOT TRUE  C) I and II  D) I and III  E) II and III

Solution: If x is an odd negative integer and y is an even integer, which of the following statements must be true?   I. (3x - 2y) is odd   4x - is always negative and EVEN   2y - can be 0, when y=0, or always even integer (positivie or negative)   odd integer +/- even integer = always EVEN   I statement is always true   II. xy^2 is an even negative integer   y can be 0 => xy^2 = 0 (non-negative even) => II statement is not true   III. (y^2 - x) is an odd negative integer   y can be 0 => -x will be positive => III statement is not true   basing on above, only I statement will always be true   answer is I,II,III NOT TRUE
Answer: B
ake can dig a well in 16 days. Paul can dig the same well in 24 days. Jake, Paul and Hari together dig the well in 8 days. Hari alone can dig the well in Choices
A) 48 B) 39 C) 37 D) 27 E) 29

Solution: Simple one. Let the total work to be done is 48 meters. Now Jake can dig 3 mts, Paul can dig 2 mts a day. Now all of them combined dug in 8 days so per day they dug   48/8= 
  48/8 = 6
6 mts. So Of these 8 mts, Hari capacity is 1 mt.   So he takes 48 /1= 
48 /1 = 48
48 days to complete the digging job.   48nswer:48
Answer: A
Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl, and then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 10, what is the probability that one of the two cards drawn is numbered 4?  Choose the correct option:
A) 1/2
B) 1/3
C) 2/3
D) 1/4
E) 2/5

Solution: There are 3 ways to get a total sum of 10.   2 of these ways include the number 4.   The probability that one of the cards is a 4 is 2/3   The answer is 2/3.
Answer: C
There are 10 points on a circle. A hexagon can be formed by linking 4 of the 10 points. How many such hexagons are possible?	Choose the correct choice from the following answers.
A) 60	B) 120	C) 200	D) 210	E) 600

Solution: 4 points can be selected out of 10 points in 10C4 ways   =10 !/6!*4!=210   Ans 210
Answer: D
John draws a card from a pack of cards. What is the probability that the card drawn is a card of black suit? Choose the correct choice from the following answers:
A) 3/78
B) 4/8
C) 6/5
D) 1/2
E) 2/3

Solution: Explanation :   Total number of cards, n(S) = 52   Total number of black cards, n(E) = 26   P(E) =n(E)/n(S)=26/52=1/2   Answer: 1/2
Answer: D
What is the absolute value of twice the difference of the roots of the equation Q=5y^2 − 20y + 15 = 0 ?
Choose the correct choice from the following options:
A) 0
B) 1
C) 2
D) 3
E) 4

Solution: Q=5y^2 − 20y + 15 = 0 --> y^2 − 4y + 3 = 0 --> y=1 or y=3. The difference is 2, twice the difference is 4.   Answer: 4.
Answer: E
A cyclist rides a bicycle 8 km at an average speed of 10 km/hr and again travels 10 km at an average speed of 8 km/hr. What is the average speed for the entire trip?	Choose the most appropriate option.
A) 9.28  B) 8.48  C) 8.78  D) 8.98  E) 9.18

Solution: distance = 18 km   time = 8/10 + 10/8 = (64 + 100) / 80 = 164 / 80 = 41 / 20 hours   average speed = (18 * 20) / 41 = 8.78 km/h   The answer is 8.78.
Answer: C
Question:	A sporting good store sells one type of baseball bat and one type of baseball. The cost for 2 bats and 4 balls is $180. The cost for 1 bat and 6 balls is $170, as well. If someone were to buy an equal number of bats and balls, at most how many bats can he purchase if he has a budget of $210 for the purchase?
Options: Choose the correct choice from the following: A) 1 B) 2 C) 3 D) 4 E) 5

Solution: IMO it should be C that is C   reason:   formed an equation... bat = b ball = c   2b+4c=180   1b+6c=170   solving both we get b that is bat = 50 and c that is ball = 20   new equation 210 to be divided in equal   3b+3c=210   3*50 + 3*20= 
3*50 + 3*20 = 210
210   150+60= 
150+60 = 210
210
Answer: C
The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:  Choose the most appropriate option.
A) 28  B) 24  C) 15  D) 30  E) 60

Solution: Let the three parts be A, B, C. Then,   A : B = 2 : 3 and B : C = 5 : 8   = (5 x (3/5)):(8 x (3/5))   = 3 : 24/5   A : B : C = 2 : 3 : 24/5   = 10 : 15 : 24   B = (98 x 15/49)= 30.   Answer is 30.
Answer: D
(8^16)+(16^10)+(4^24) = ?
Pick
A) (4)*(2^29+1) B) (6)*(2^48) C) (9)*(2^49) D) (28)*(2^53) E) 2^148

Solution: I think you are assuming that (X^Y) + (X^Z) is = (X^Y+Z) which is not true, as it only applies to multiplication. Rather it would have to be (X^Y)(X^Z) = (X^YZ)   So when you simplify down to 2^48 + 2^52 + 2^48 you cannot just add exponents.   Here's how my brain works with this one,   Step 1: Recognize a common base.   (8^16) + (16^13) + (4^24) = ((2^2)^16) + ((2^4)^13) + ((2^2)^24) = (2^48) + (2^52) + (2^48)   Step 2: Recognize the factor and pull out of the equation.   = (2^48)(1 + (2^4) + 1)   = (2^48)(1 + 16 + 1)   = (2^48)(18)   Step 3: Recognize this is not an answer and adapt.   (2^48)(18) = (2^48)(2)(9) = 2^148   Answer is 2^148.
Answer: E
Alfred buys an old scooter for $4700 and spends $1000 on its repairs. If he sells the scooter for $5800, his gain percent is?	Choose the correct option:
A) 5.45%  B) 6.23%  C) 1.75%  D) 8.12%  E) 10%

Solution: C.P. = 4700+1000= 
4700+1000 = 5_700
$5700   S.P.= $5800   Gain = 5800-5700= 
5800-5700 = 100
$100   Gain%= 100/5700 * 100 = 1.75%   Answer is 1.75%
Answer: C
Fresh grapes contain 80% water by weight and raisins obtained by drying fresh grapes contain 25% water by weight. How many kgs of fresh grapes are needed to get 40 kgs of raisins? Choose the correct option
A) 150 kgs
B) 64kgs
C) 72 kgs
D) 65 kgs
E) 70 kgs

Solution: The weight of non-water in 40 kg of dried grapes (which is 100-25= 
100-25 = 75
75% of whole weight) will be the same as the weight of non-water in x kg of fresh grapes (which is 100-80= 
100-80 = 20
20% of whole weight), so   40*0.75= x*0.2   --> x = 150.   150 kgsnswer: 150 kgs.
Answer: A
If a, b, c, d, e and f are integers and (ab + cdef) < 0, then what is the maximum number E of integers that can be negative?
Choose the correct choice from the following answers
A) 2
B) 3
C) 4
D) 5
E) 6

Solution: Minimuum should be 1   Maximum should be 4:   1 out of a or b to make the multiplication negative   3 out of c, d, e or f to make the multiplication negative.   Negative+Negative<0   Answer:C   maximum will be 5..   you dont require both the multiplicatin to be negative for entire equation to be negative...   any one a or b can be negative to make ab negative and it can still be more(away from 0) than the multiplication of 4 other -ve numbers...   actually by writing minimum required as 1 out of 6,you are actually meaning 5 out of 6 also possible as you will see E=5 or 1 will give you same equation..   ans 5
Answer: D
7 teams compete in a track competition. If there are 14 events in the competition, no event ends in a tie, and no team wins more than 3 events, what is the minimum possible number of teams that won at least one event?	Select
A) 3 B) 4 C) 5 D) 6 E) 7

Solution: 3(max wins) x 4 = 12 (4 teams win three events)   One team wins the other 2 events.   The answer is 5.
Answer: C
A man swims downstream 72 km and upstream 45 km taking 10 hours each time; what is the speed of the current?  Answers.
A) 1.55
B) 1.85
C) 1.65
D) 1.35
E) 1.15

Solution: 72 --- 10 1.35S = 7.2   ? ---- 1   45 ---- 10 US = 4.5   ? ---- 1 S = ?   S = (7.2 - 4.5)/2= 
(7.2 - 4.5)/2 = 1.35
1.35   Answer:1.35
Answer: D
A father is now three times as old as his son. Eight years back, he was four times as old as his son. The age of the son (in years) is
Pick one
A) 12 B) 24 C) 18 D) 27 E) 25

Solution: If father's age is F and son's age is S, then   F=3S   and   F-8 = 4*(S-8)   3S-5 =4S-32   S=24   F=72 years   ANSWER:24
Answer: B
In a group of 100 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. If a person is selected at random from this group, what is the probability the person's age is less than 20?  Choose the correct choice from the following choices:
A) 0.1  B) 0.55  C) 0.65  D) 0.75  E) 0.85

Solution: Number of people whose age is less than 20 is given by   100 - 90= 
100 - 90 = 10
10   Probability P that a person selected at random from the group is less than 20 is given by   10 / 100= 
10 / 100 = 1/10 = around 0.1
0.1   correct answer 0.1
Answer: A
A certain auto manufacturer sold 8% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.1 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007? Choose the correct option.
A) 63,000 B) 1,930,000 C) 2,030,000 D) 2,040,000 E) 2,300,000

Solution: Let's assume in 2006 the manufacturer sold X.   In 2007 he sold X-8/100(X)   If sales in 2006,X= 2.1 million find X-8/100(X)   (2.1 x 10^6)-8/100(2.1 x 10^6)   2100000-168000=1,932,000-----> 1,930,000(approx)   ANSWER:1,930,000
Answer: B
Twenty percent of Country Y's yearly exports come from fruit exports. One-sixth of all fruit exports from Country Y are orange exports. If country Y generates $4.5 million from its orange exports, how much money does it generate from its yearly total of exports?  Choose the correct choice
A) $21.25m  B) $25.5m  C) $106.25m  D) $127.5m  E) $135m

Solution: 2/10*1/6*(total) = 4.5   1/30*(total) = 4.5   (total) = 4.5*30= 
4.5*30 = 135
135   Answer: $135m.
Answer: E
In a 100 member association consisting of men and women, exactly 10% of men and exactly 20 % women are homeowners. What is the maximum number of members who are homeowners? Choose the most appropriate option
A) 29
B) 27
C) 25
D) 23
E) 21

Solution: Solution simple   Out of 100 10% are male i.e 10 and 20% are female i.e 20 , so total homeowner is 30.   Now min number homeowner is 10 and max is 30 so question ask us to find maximum and 29 has maximum value among all option.   So ans is 29.   29ns: 29
Answer: A
A is a working partner and B is a sleeping partner in the business. A puts in Rs.3500 and B Rs.2500, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is?	Choose the correct choice from the following
A) 1978	B) 2707	C) 7728	D) 4200	E) 6000

Solution: 35:25 => 7:5   9600*10/100= 
9600*10/100 = 960
960   9600 - 960= 
9600 - 960 = 8_640
8640   8640*7/12= 
8640*7/12 = 5_040
5040 + 960= 
5040 + 960 = 6_000
6000   Answer: 6000
Answer: E
12 men work 8 hours per day to complete the work in 10 days. To complete the same work in 4 days, working 15 hours a day, the number of men required? Choose the correct option: A) 15days B) 12days C) 16days D) 18days E) 20days

Solution: That is, 1 work done = 12 × 8 × 10   Then, 12 8 × 10 = ? × 15 × 6   ? (i.e. No. of men required) = 12 × 8 × 10/15× 6 = 16 days   16days)
Answer: C
A sum fetched a total simple interest of Rs. 1000 at the rate of 10 p.c.p.a. in 4 years. What is the sum?  Choose one
A) 2500	B) 2800	C) 3500	D) 1900	E) 1500

Solution: Sol.   Principal = Rs. [100 * 1000 / 10 * 4] = Rs. [100000 / 40] = Rs. 2500.   2500nswer 2500
Answer: A
David and Rachel are getting married. The extended family wants to have its picture taken, but David's father is unwilling to stand next to Rachel's mother. How many options does the photographer have to arrange the 6 family members in a row for the picture? Options:
A) 9!
B) 9×8!
C) 4x5!
D) 10!/2!
E) 10!

Solution: In how many ways David's father and Rachel's mother can stand together? Consider them as one unit: {F, M}. So, we'd have 9 units {F, M}, 1, 2, 3, 4, which can be arranged in 9! ways. David's father and Rachel's mother within their unit can be arranged in 2! ways. Therefore, David's father and Rachel's mother can stand together in 5!*2! ways.   Total - Restriction =   = 6! - 5!*2! =   = 5!(6- 2!) =   = 4*5!.   Answer: 4x5!.
Answer: C
There are 6 gentlemen and 5 ladies to dine at a round table. In how many ways can they seat themselves so that no two ladies are seated together. Choose the correct option:  A) 85400  B) 36400  C) 86400  D) 65600  E) 88600

Solution: 6 men can be arranged around a table in (6-1)= 
(6-1) = 5
5! ways.   Now, if we place each woman between the men then no two women will be together. There are 6 available slots between the men, thus 6C5=6 is the number of ways we can choose 5 slots out of 6 for the women.   Next, these 5 women can be arranged in 5! ways, hence the total number of ways is 5!*6*5!=86,400.   Answer: 86400.
Answer: C
The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the following could be the greatest common factor of n and 420? Choose the correct choice:
A) 15
B) 48
C) 64
D) 84
E) 90

Solution: n includes the factors 2^2 (but not 2^3) and 3 (but not 3^2 or 5)   420 = 4*3*5*7   The GCF could be 12 or 84.   The answer is 84.
Answer: D
What approximate value should come in place of the question mark (?) in the following equation?
1.542 × 2408.69 + 8134.632 = ?  Options.
A) 14600 B) 11800 C) 12030 D) 16400 E) 13600

Solution: Explanation 3700 + 8100= 
3700 + 8100 = 11_800
11800   Answer 11800
Answer: B
Carol spends 1/4 of her savings on a stereo and 1/3 less than she spent on the stereo for a television. What fraction of her savings did she spend on the stereo and television?
Choose the correct choice:
A) 1/4
B) 2/7
C) 5/12
D) 1/2
E) 7/12

Solution: Total Savings = S   Amount spent on stereo = (1/4)S   Amount spent on television = (1-1/3)(1/4)S = (2/3)*(1/4)*S = (1/6)S   (Stereo + TV)/Total Savings = S(1/4 + 1/6)/S = 5/12   Answer: 5/12
Answer: C
If a copier makes 3 copies every 4 seconds, then continues at this rate, how many minutes will it take to make 9,000 copies? Answers.
A) 60	B) 100	C) 120	D) 200	E) 3,000

Solution: Let x = seconds to make 9000 copies.   We get: 3/4 = 9000/x   Cross multiply to get: 3x = (4)(9000)   Simplify: 3x = 36,000   Solve: x = 12,000 SECONDS   There are 60 seconds in a minute.   12,000/60 = 200   So, it takes 200 MINUTES to make 9000 copies   Answer: 200
Answer: D
A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water? Choices:
A) 92.5 kmph B) 17.5 kmph C) 15.5 kmph D) 12.5 kmph E) 22.5 kmph

Solution: Let the speed of the man in still water be a kmph and let the speed of the stream be b kmph.   Now 30/(a + b) + 20/(a - b) = 4 and 45/(a + b) + 40/(a - b) = 7   Solving the equation, the speed of man in still water is 12.5 kmph.   Answer: 12.5 kmph
Answer: D
Ten cards numbered 1 to 10 are placed in a box, mixed up thoroughly and then one card is drawn
randomly. If it is known that the number on the drawn card is more than 3, what is the probability
that it is an even number?	Select the correct option.
A) 1/3	B) 1/5	C) 4/7	D) 7/4	E) 2/7

Solution: Let A be the event ‘the number on the card drawn is even’ and B be the   event ‘the number on the card drawn is greater than 3’. We have to find P(A|B).   Now, the sample space of the experiment is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}   Then A = {2, 4, 6, 8, 10}, B = {4, 5, 6, 7, 8, 9, 10}   and A n B = {4, 6, 8, 10}   Also P(A) = 5/2, P(B) = 7/10 and P(A n B) = 4/10   Then P(A|B) = P(A n B)/P(B) = (4/10)/(7/10) = 4/7   4/7
Answer: C
How many different arrangements of letters are possible if three letters are chosen from the letters A through E and the letters E and A must be among the letters selected? Select.
A) 72 B) 64 C) 36 D) 18 E) 6

Solution: Since A and E must be among 3 letters then the third letter must be out of B, C and D. 3C1 = 3 ways to choose which one it'll be. Now, 3 different letters (A, E and the third one) can be arranged in 3!=6 ways, so the final answer is 3*6= 
3*6 = 18
18.   Answer: 18.
Answer: D
Indu gave Bindu Rs.4375 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?  Choose the correct choice from the following.
A) 1  B) 2  C) 7  D) 4  E) 9

Solution: 4375 = D(100/4)2   D = 7   Answer:7
Answer: C
A meeting has to be conducted with 4 managers. Find the number of ways in which the managers may be selected from among 7 managers, if there are 2 managers who refuse to attend the meeting together.	Select: A) 18 B) 21 C) 25 D) 30 E) 35

Solution: The total number of ways to choose 4 managers is 7C4 = 35   We need to subtract the number of groups which include the two managers, which is 5C2 = 10.   35 - 10= 
35 - 10 = 25
25   The answer is 25.
Answer: C
In how many different ways can the letters of the word ORGANISE be arranged in such a way that all the vowels always come together and all the consonants always come together?  Choose the correct choice from the following options:
A) 576
B) 1152
C) 2880
D) 1440
E) None of these

Solution: The word ORGANISE has 4 vowels and 4 consonants.   Now, both groups (vowels and consonants) can be treated as two letters. This can be arranged in 2! ways.   Now, the 4 letters of each group can be arranged.in 4! ways.   So, total possible ways of arrangement   = 2! × 4! × 4!   = 2 × 24 × 24 = 1152.   Answer 1152
Answer: B
In a certain school, 20% of the students are below 8 yrs of age. The number of students above 8 yrs of age is (2/3) of the number of students of 8 years age which is 96. What is the total number of students in the school?	Answers: A) 237 B) 200 C) 267 D) 176 E) 161

Solution: Explanation:   Let total students be x.   ⇒ 0.2x + 2323 × 96 + 96 = x   ⇒ x = 200   Answer: 200
Answer: B
The combined salaries of three brothers is $180,000. Mr. Big earns twice what Mr. Small earns, and Mr. Middle earns 1 1/2 times what Mr. Small earns. What is the smallest salary of the three brothers?
Pick.
A) 20,000 B) 22,000 C) 25,000 D) 30,000 E) 40,000

Solution: Mr. Small = x;   Mr. Middle = 3/2*x;   Mr. Big = 2x.   x + 3/2*x + 2x = 180 --> x=40   Answer: 40,000
Answer: E
Which of the following is closer to (22!+21!)/(22!-21!)?  Choose one
A) 49	B) 36	C) 1	D) 16	E) 25

Solution: Notice that 22! = (22)(21!), so we can factor out 21! from top and bottom.   (22!+21!)/(22!-21!)=[21!(22+1)]/[21!(22-1)]   = (22+1)/(21-1)   = 23/21   ≈ 1   Answer: 1
Answer: C
If 3 strawberry vines produce 30 fruit and 20 strawberry vines produce 200 fruit, how many fruit do 50 strawberry vines produce? Choose the most appropriate option
A) 5  B) 50  C) 500  D) 5000  E) 3

Solution: 3 x ? = 30   20 x ? = 200   50 x ? = ?   3 x 10 = 30   20 x 10 = 200   Therefore, each strawberry vine makes 10 fruits.   50 x 10 = 500   answer: c
Answer: C