MU-NLPC/Calc-aqua_rat huggingface dataset:
On January 1, 2011, Dimple invests 20% of his retirement savings in Antarctic largecap stocks, 30% in Antarctic midcaps, and 50% in Antarctic smallcaps. In 2011, largecaps rise 20%, midcaps rise 10%, and smallcaps rise 20% in the Antarctic stock market; however, in 2012, largecaps fall 10% and midcaps fall 20%, while smallcaps rise x% in Antarctica. If, on January 1, 2013, Dimple has the same total amount of retirement savings as he did two years before, then x is between
Choose the most appropriate option
A) 0 and 5
B) 5 and 10
C) 10 and 15
D) 15 and 20
E) 20 and 30

Solution: Pick a smart number for the total retirement savings Dimple starts with—say, $10,000. (If you pick $100, you’ll wind up needing to track decimals, so give yourself more zeros to start with.)   Here are the starting values:   L = $2000   M = $3000   S = $5000   Apply the first year’s changes, so that you have these numbers on 1/1/2012:   Newer L = $2000+ 20% = $2400   Newer M = $3000+ 10% = $3300   Newer S = $5000+ 20% = $6000   Now apply the second year’s changes to L and M:   Newest L = $2400– 10% = $2400– $240 = $2160   Newest M = $3300– 20% = $3300– $660= $2640   Add these to get $4800. So the newest S must be $10,000 (the target final total of Dimple’s retirement savings) minus $4800, $5200   The dollar change in S from 1/1/12 to 1/1/13 is $6000 – $800 = $5200. So the question is this: what percent change does $800 represent, from a starting point of $6000? Since $6000 is a nasty divisor, switch to benchmarks:   5% of $6000 = $300.   10% of $6000 = $600.   15% of $6000 = $900.   And so on.   From this $800 lies between $600 and $900   The correct answer is 10 and 15.
Answer: C
What will come in place of the x in the following Number series? 46080, 3840, 384, 48, 8, 2, x Choose the correct answer:
A) 1  B) 3  C) 5  D) 7  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   1
Answer: A
Ratio between Rahul and Deepak is 4:3, After 6 Years Rahul age will be 34 years. What is Deepak present age?  Choose the correct choice from the following choices: A) 22 B) 15 C) 77 D) 21 E) 182

Solution: Present age is 4x and 3x,   => 4x + 6 = 34 => x = 7   So 21eepak age is = 3(7) = 21   Answer: 21
Answer: D
If the sides of a triangle are 26 cm, 24 cm and 12 cm, what is its area?	Select the correct option
A) 144 B) 772 C) 288 D) 266 E) 2848

Solution: The triangle with sides 26 cm, 24 cm and 12 cm is right angled, where the hypotenuse is 26 cm.   144rea of the triangle = 1/2 * 24 * 12= 
1/2 * 24 * 12 = 144
144 cm2   144nswer: 144
Answer: A
An article is bought for Rs.600 and sold for Rs.500, find the loss percent?	Choices:  A) 16 2/6%  B) 16 9/3%  C) 19 2/9%  D) 16 2/3%  E) 16 7/3%

Solution: 600 ---- 100   100 ---- ? => 16 2/3%   Answer: 16 2/3%
Answer: D
A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes.How long will it take to go 5 km in stationary water ? Choose the correct choice from the following answers
A) 40 minutes B) 1 hour C) 1 hr 15 min D) 1 hr 20 min E) None of these

Solution: Solution   Rate downstream =(1/10x60) km/hr = 6 km/hr, Rate upstream = 2 km/hr.   Speed in still water =1/2(6 + 2) km/hr = 4 km/hr.   ∴ Required time =(5/4)hrs = 1 1/4hrs = 1 hr 15 min. Answer 1 hr 15 min
Answer: C
What is the dividend. divisor 17, the quotient is 9 and the remainder is 5.  Pick:	A) 150	B) 152	C) 158	D) 159	E) 150

Solution: D = d * Q + R   D = 17 * 9 + 5   D = 153 + 5= 
153 + 5 = 158
158   158
Answer: C
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:  Select
A) 276	B) 299	C) 322	D) 345	E) 355

Solution: Clearly, the numbers are (23 x 13) and (23 x 14).   Larger number = (23 x 14) = 322. Answer: Option 322
Answer: C
a spider web consists of 3 concurrent lines forming radial support for 20 concentric regular hexagon .the hexagon vertices are 5mm from their immidiate neighbour. if the innermost hexagon has a side length 3mm how many meters is the length of the entire web including the 3 diagonals ?  Choose the correct choice from the following options:	A) 7.354 m	B) 8.354 m	C) 6.354 m	D) 9.354 m	E) 5.354 m

Solution: for perimeter of all hexagon =6*(3+8+13+...........20th term.)   sum will be 6060 mm   and for length of one diagonal find 20th term=98   so total length =6060+294= 
6060+294 = 6_354
6354 mm=6.354 m   ANSWER:6.354 m
Answer: C
David obtained 86, 85, 82, 87 and 85 marks (out of 100) in English, Mathematics,Physics, Chemistry and Biology What are his average marks ?  Choose the correct option:
A) 75
B) 276
C) 87
D) 85
E) 11

Solution: Explanation:   Average = (86+ 85+ 82+ 87+ 85 )/ 5 = 425/5= 
425/5 = 85
85.   Answer:85
Answer: D
consider a no 235, where last digit is the sum of first two digit no eg- 2+3=5 , how many such 3-digit no are there ??? Choose the correct choice.
A) 44	B) 45	C) 46	D) 47	E) 48

Solution: between 100 and 200 there are 9 such numbers   101,112,123,134,145,156,167,178,189   in the same way btwn 200 and 300   202,213,224,235,246,257,268,279 =8 numbers totally   so series continues as 9+8+7+6+5+4+3+2+1= 
9+8+7+6+5+4+3+2+1 = 45
45 numbers   ANSWER:45
Answer: B
If the integer w is rounded to the nearest hundred, the result represents a 66 2/3 % increase over the value obtained when w is rounded to the nearest ten. which of the following is a possible value of w? Choose the most appropriate option:
A) 64	B) 67	C) 99	D) 133	E) 147

Solution: We have to check options 1 by 1.   64 rounded to nearest hundred = 100   64 rounded to nearest ten = 60   now difference = 40   the result represents a 66 2/3 % increase over the value obtained when x is rounded to the nearest ten.   therefore 40/60)*100 = 66 2/3 ==>this is the answer.   99 rounded to nearest ten = 100   133 rounded to nearest ten = 130   133 rounded to nearest hundred w= 100=64
Answer: A
If Rahul earns a raise of between 5% and 10%, non-inclusive, by what fraction could her salary have increased?  Choose the correct option:
A) 1/4 B) 1/5 C) 1/10 D) 9/100 E) 1/20

Solution: Perhaps it is also easy to just translate the % into fractions:   6%: 6/100 = 3/50   7%: 7/100   8%: 8/100 = 4/50 =2/25   9%: 9/100   Only 9/100 exists in the answer choices, so ANS 9/100
Answer: D
A monkey climbs 30 feet at the beginning of each hour and rests for a while when he slips back 20 feet before he again starts climbing in the beginning of the next hour. If he begins his ascent at 5.00 a.m., at what time will he first touch a flag at 120 feet from the ground?
Choose the correct answer:  A) 4 p.m.  B) 5 p.m.  C) 6 p.m.  D) 7 p.m.  E) 3 p.m

Solution: Explanation:   Net ascent of the monkey in 1 hour = (30 - 20)= 
(30 - 20) = 10
10 feet.   So, the monkey ascends 90 feet in 9 hours i.e. till 2 p.m.   Clearly, in the next 1 hour i.e. till 3 p.m. the monkey ascends remaining 30 feet to touch the flag.   Answer:3 p.m
Answer: E
Circular gears L and R start to rotate at the same time at the same rate. Gear L makes 10 complete revolutions per minute and gear R makes 40 revolutions per minute. How many seconds after the gears start to rotate will gear R have made exactly 9 more revolutions than gear L?	Choose the correct choice from the following choices
A) a) 6  B) b) 8  C) c) 10  D) d) 18  E) e) 15

Solution: Gear L -- 10 rotations per 60 seconds -- 1 rotation per 6 seconds.   Gear R -- 40 rotations per 60 seconds -- 4 rotations per 6 seconds.   First 6 seconds -- Gear L makes 1 rotation. -- Gear R makes 4 rotations -- Net difference -- 3 rotations   Hence every 6 seconds the difference between the number of rotations of R and L gear is 3 units.   Required net difference should be 9 rotations => 3 (6 seconds later) ==> 18 seconds.   Answer: d) 18).
Answer: D
Tom is mixing up a salad dressing. Regardless of the number of servings, the recipe requires that 5/8 of the finished dressing mix be olive oil, 1/4 powder , and the remainder an even mixture of salt, pepper and sugar. If Tom accidentally doubles the powder and forgets the sugar altogether, what proportion of the botched dressing will be olive oil?  Choose the correct option:
A) 15/29	B) 5/8	C) 5/16	D) 1/2	E) 13/27

Solution: Olive oil = 5/8 = 15/24 --> 15 parts out of 24;   powder = 1/4 = 6/24 --> 6 parts out of 24;   Salt + pepper + sugar = 1-(15/24+6/24)= 3/24, so each = 1/24 --> 1 part out of 24 each;   If powder = 12 (instead of 6) and sugar = 0 (instead of 1) then total = 15+12+1+1+0= 
15+12+1+1+0 = 29
29 parts out of which 15 parts are olive oil --> proportion= 15/29.   15/29nswer: 15/29.
Answer: A
A FIVE DIGIT NUMBER IS FORMED BY USING THE DIGITS 1,2,3,4 WITH OUT REPETITIONS . WHAT IS THE PROBABILITY THE NUMBER IS DIVISIBLE BY4?	Choose the correct option
A) 1/5	B) 1/20	C) 4/5	D) 7/3	E) 2/7

Solution: If a number is divisible by 4 the last 2 digits of the number has to be divisible by 4.   If the number ends with 12: Number of possibilities = 2 * 1= 
2 * 1 = 2
2   number ends with 24: Possibilities=2 * 1= 
2 * 1 = 2
2   number ends with 32: Possibilities= 2   Total number of possibilities with restriction = 2+2+2= 
2+2+2 = 6
6   Total number of possibilities without restriction= 5! = 120   Probability = 6/120 = 1/20   Answer:1/20
Answer: B
Compound X contains elements A and B at an approximate ratio, by weight, of 2:10. Approximately how many grams of element B are there in 108 grams of compound X? Choose the correct choice from the following options.
A) 90 B) 162 C) 250 D) 270 E) 322

Solution: total number of fractions =2+10= 
2+10 = 12
12   element B constitutes=10 out of 12 parts of X   So in 108 gms of X have 108*10/12= 
108*10/12 = 90
90 gms of B   and  108-90= 
 108-90 = 18
18 gms of A.   cross check:- 90/B= 18/90 =2/10 (as given)   90ns 90
Answer: A
Mike's age is 48 years. If he is 4 more than twice the age of his son, find the age of his son.  Pick one:
A) 20 years B) 22 years C) 16 years D) 18 years E) 19 years

Solution: Let Mike's son age be x.   4 + 2 x = 48   x = 22   Hence Mike's son age is 22 years   Answer : 22 years
Answer: B
HOW MANY KGS OF TEA WORTH RS.25/KG MUST BE BLENDED WITH 30 KGS OF TEA WORTH RS.30/KG SO THAT BY SELLING THE BLENDED VARIETY AT RS.30/KG THERE SHOULD BE A GAIN OF 20%
Choose the correct choice from the following choices.
A) 36	B) 40	C) 32	D) 42	E) 60

Solution: (x+30)*30=(120/100)(25x+30*30)   Solving we get 60.   Answer is 60.
Answer: E
A and B started a business with initial investments in the ratio 10 : 3, after some months B withdrawn his investment, and their share in the annual profits were in the ratio 8 : 7. Then how long B was in the business ?  Select the correct option:	A) 6 months	B) 8 months	C) 9 months	D) 35 months	E) 7 months

Solution: Let Sumit in the business for ‘a’ months.   Investment Ratio Amit to Sumith = 10:3   Profit sharing ratio = 8 : 7.   Amit is in the business for 12 months.   Then Sumit in the business for   (10 × 12) / (3 × a) = 8 / 7 => 24a = 840 or   a = 840 / 24= 
840 / 24 = 35
35 or 35 months   Option 35 months
Answer: D
At the opening of a trading day at a certain stock exchange, the price per share of stock K was $28. If the price per share of stock K was $29 at the closing of the day, what was the percent increase in the price per share of stock K for that day?
Choose the correct choice from the following options.
A) 3.57%	B) 5.9%	C) 11.1%	D) 12.5%	E) 23.6%

Solution: Opening = 28   Closing = 29   Rise in price = 1   So, percent increase = 1/28*100 = 3.57   3.57%nswer : 3.57%
Answer: A
Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?  Choose the correct choice from the following answers
A) 2668  B) 9261  C) 1688  D) 2588  E) 1611

Solution: Explanation:   A = 8000(21/20)3 = 9261   Answer:9261
Answer: B
Two air planes are moving in the same direction at 29 kmph and 11 kmph. The faster air plane crosses the slower air plane in 10 seconds. Find the length of the faster air plane in meters.
Choose one:
A) 36 m
B) 71 m
C) 42 m
D) 50 m
E) 59 m

Solution: Relative speed = (29 - 11) * 5/18= 
(29 - 11) * 5/18 = 5
5= 5 mps.   Distance covered in 27 sec = 10 * 5= 
10 * 5 = 50
50 m.   The length of the faster train= 50 m.   Answer:50 m
Answer: D
How many 4-digit numbers can be formed from the digits 0,2, 3, 5, 6, 7 and 9, which are divisible by 5 and if the repetition is not allowed?  Pick one:
A) 200
B) 240
C) 300
D) 360
E) 120

Solution: Since, each desired number is divisible by 5, so we must have either 0 or 5 at the unit place.   So , the tens place can now be filled by any of the remaining 6 digits (2, 3, 6, 7, 9, 0 or 5)   the hundreds place can now be filled by any of the remaining 5 digits   therefore the 3-digit no can be formed by   (4 * 5 * 6 * 2)= 
  (4 * 5 * 6 * 2) = 240
240 ways   Ans- 240
Answer: B
Two friends want to buy a snack. They combine their money and find they have $3.75, consisting of quarters, dimes, and nickels. If they have 35 coins and the number of quarters is half the number of nickels, how many quarters do they have?  Choose one: A) 4 B) 5 C) 6 D) 7 E) 8

Solution: Let x be the number of quarters. Then 2x is the number of nickels.   (1) 25x + 10x + 10D = 375. Then 7x + 2D = 75   (2) 3x + D = 35. Then 6x + 2D = 70   Let's subtract equation (2) from equation (1).   x = 5   The answer is 5.
Answer: B
Find the sum of all 2 digit numbers divisible by 3.	Choose the correct option:
A) 1665  B) 1765  C) 1865  D) 1965  E) 1555

Solution: All 2 digit numbers divisible by 3 are :   12, 51, 18, 21, ..., 99.   This is an A.P. with a = 12 and d = 3.   Let it contain n terms. Then,   12 + (n - 1) x 3 = 99 or n = 30.   Required sum = 30/2 x (12+99) = 1665.   1665nswer is 1665
Answer: A
Three sets of 80, 50 and 90 students appeared for an examination and the pass percentage was 75, 90 and 100 respectively. the pass percentage of the whole set is
Answers.
A) 87.63%	B) 88.53%	C) 88.93%	D) 88.63%	E) 89.63%

Solution: Explanation:   total passed student =60+45+90= 
60+45+90 = 195
195   195 is 88.63% of 220   ANSWER:88.63%
Answer: D
P is a no. which has exactly 3 factors which divide 25! Then whats is the greatest power of 3 in (p-25)!	Answers.
A) 46	B) 47	C) 48	D) 49	E) 50

Solution: suppose p=125 has three factor 125==5*5*5;    (125-25)= 
 (125-25) = 100
100;   power of 3=100/3=33.33/3+11.11/3+3.3/3=47+11+3+1=48   ANSWER:48
Answer: C
A, B and C start a business each investing 20,000. After 10 months A withdrew 5000, B withdrew 4000 and C invests 6000 more. At the end of the year, a total profit of 71400 was recorded. Find the share of B.	Choose the correct answer:
A) 20,000
B) 21,200
C) 23,200
D) 20,500
E) None of these

Solution: Ratio of the capitals of A, B and C   = 20000 Ã— 10 + 15000 Ã— 2 : 20000 Ã— 10 + 16000 Ã— 2 : 20000 Ã— 10 + 26000 Ã— 2   = 230000 : 232000 : 252000 = 230 : 232 : 252.   Bâ€™s share = (71400 Ã— 232â„714) = 23200;   Answer 23,200
Answer: C
Find the compound interest on Rs. 16,000 at 20% per annum for 9 months, compounded quarterly	Choose the correct choice from the following answers:
A) 2875	B) 2654	C) 2645	D) 2456	E) 2522

Solution: Principal = Rs. 16000; Time = 9 months =3 quarters;Rate = 20% per annum = 5% per quarter.Amount = Rs. [16000 x (1+(5/100))3] = Rs. 18522. CI. = Rs. (18522 - 16000) = Rs. 2522 Answer : 2522
Answer: E
If point A coordinates are (-7, -2) point B coordinates are (8 ,4 ) if C is along the line A-B so that AC = 1/2 CB. What are the coordinates of point C. Choose the correct choice from the following answers:
A) (-2, - 2/3)
B) (2, -2/3)
C) (2/3, -2)
D) (0, 2)
E) (2, 2/3)

Solution: Look at the diagram below:   Line segment.pngSince, AC= 1/2 CB, then AC = 1/3 AB. This implies that point C is closer to A than to B, which on the other hand implies that the x-coordinate of C must be less than (-7+8)/2=0.5. Only D and A fits, but as (0 , 2) is clearly not on line segment AB, then the answer must be D.   Answer: (0, 2).
Answer: D
The value of (10^9-10^2)/(10^7-10^3) is closest to which of the following?
Pick:	A) 1	B) 10	C) 10^2	D) 10^3	E) 10^4

Solution: Because the question asks for what value isclosestthe question invites approximation.   Let's look at the numerator:   10^9 - 10^2   10^9 is HUGE compared to 10^2.   So 10^9 - 10^2 is very close to 10^9 itself. (Just as 100 - 0.0001 is very close to 100 itself).   Likewise, 10^7 is HUGE compared to 10^3.   So 10^7 - 10^3 is very close to 10^7.   So we have:   10^9/10^7   or 10^(9-7) = 10^2.   10^2hoose 10^2.
Answer: C
At Veridux Corporation, there are 218 employees. Of these, 90 are female, and the rest are males. There are a total of 40 managers, and the rest of the employees are associates. If there are a total of 135 male associates, how many female managers are there?	Choose the most appropriate option
A) 15
B) 20
C) 25
D) 30
E) 47

Solution: Well, first letâ€™s take care of the â€œtotalsâ€. The numbers in the â€œtotalsâ€ row must add up. If 90 are females, the other 218 â€“ 90 = 128 must be males. Similarly, the numbers in the â€œtotalsâ€ column must add up. If 40 are managers, then the other 218 â€“ 40 = 178 must be associates.   Now, in the â€œassociateâ€ row, 135 + E = 178, which means E = 43 â€” the other 43 associates must be female.   Now, to find B, which is what the question is asking, we need only look at the sum in the â€œfemaleâ€ column: B + 43 = 90, which means B = 47. There are fifteen female managers in this company. Thus, the answer = 47 (47).
Answer: E
A and B walk around a circular track. A and B walk at a speed of 2 rounds per hour and 4 rounds per hour respectively. If they start at 7 a.m. from the same point in opposite directions, how many times shall they cross each other before 9.00 a.m.?	Choose the correct choice from the following choices:  A) 10  B) 6  C) 12  D) 8  E) 16

Solution: Relative speed = Speed of A + Speed of B (âˆ´ they walk in opposite directions)   = 2 + 4= 
2 + 4 = 6
6 rounds per hour=> They cross each other 6 times in 1 hour.   Time duration from 7.00 am to 9.00 am = 2 hour   Hence they cross each other 12 times before 9.00 am   Answer : 12
Answer: C
A rectangular region has a fence along three sides and a wall along the fourth side. The fenced side opposite the wall is twice the length of each of the other two fenced sides. If the area of the rectangular region is 800 square feet, what is the total length of the fence, in feet? Choose the correct choice from the following.
A) 40  B) 80  C) 100  D) 120  E) 200

Solution: two sides EACH = x the third = 2x and the wall length is thus 2x too   x*2x = 2x^2 = 800 ie x^2 = 400 ie x = 20   L = 40 W= 20   TOTAL LENGTH OF FENCE = 2*20+ 40= 
2*20+ 40 = 80
80   MY ANSWER IS 80
Answer: B
A train covers a distance of 12 km in 10 min. If it takes 12 sec to pass a telegraph post, then the length of the train is?  Select:
A) 298 m  B) 188 m  C) 240 m  D) 178 m  E) 189 m

Solution: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec   = 20 m/sec.   Length of the train = 20 * 12= 
20 * 12 = 240
240 m.   Answer:240 m
Answer: C
A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?	Choose the correct choice from the following answers.
A) 132	B) 240	C) 188	D) 111	E) 123

Solution: Speed = 54 * 5/18= 
54 * 5/18 = 15
15 m/sec.   Length of the train= 15 * 20= 
15 * 20 = 300
300 m.   Let the length of the platform be x m . Then,   (x + 300)/36= 15 => x = 240 m   Answer: 240
Answer: B
54 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?	Answers:	A) 33	B) 66	C) 18	D) 100	E) 281

Solution: (54 * 8)/30 = (x * 6)/50 => x =120   120 – 54 = 66   Answer: 66
Answer: B
Lucy invested $10,000 in a new mutual fund account exactly three years ago. The value of the account increased by 10 percent during the first year, increased by 10 percent during the second year, and decreased by 10 percent during the third year. What is the value of the account today?  Choose the correct choice from the following answers:
A) $10,350  B) $10,395  C) $10,890  D) $11,500  E) $12,705

Solution: the amount at the end of first year will become the principle for 2nd year, applying this trick and calculating we get the amount at the end of third year to be 10890. So the answer is ($10,890).
Answer: C
Village X has a population of 70000, which is decreasing at the rate of 1200 per year. Village Y has a population of 42000, which is increasing at the rate of 800 per year .in how many years will the population of the two villages be equal?
Options.
A) 14	B) 19	C) 11	D) 18	E) 13

Solution: Let the population of two villages be equal after p years   Then, 70000-1200p=42000+800p   2000p=28000   p=14   14nswer is 14.
Answer: A
35% of major airline companies equip their planes with wireless internet access. 70% of major airlines offer passengers free on-board snacks. What is the greatest possible percentage of major airline companies that offer both wireless internet and free on-board snacks?  Choose the correct choice from the following options.
A) 25%  B) 35%  C) 45%  D) 55%  E) 65%

Solution: To maximize the percentage of companies offering both, let's assume that all 35% of companies which offer wireless internet also offer snacks.   The answer is 35%.
Answer: B
Every disk in a bag is either blue, yellow or green. The ratio of blue disks to yellow disks to green disks in this bag is 3 : 7 : 8. If the total number of disks in the bag is 54, how many more green disks than blue disks are in the bag?	Choose the correct choice from the following answers:
A) 15 B) 25 C) 30 D) 35 E) 40

Solution: Let B:Y:G = 3x:7x:8x.   3x + 7x + 8x = 18x 3  + 7  + 8= 
3  + 7  + 8 = 18
18x= 54 --> x= 3.   G - B = 8x - 3x = 5x 8  - 3= 
8  - 3 = 5
5x= 15.   The answer is 15.
Answer: A
In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women? Choose the correct choice from the following options.
A) 266  B) 5040  C) 11760  D) 86400  E) None

Solution: Required number of ways	= (8C5 x 10C6)   = (8C3 x 10C4)   = (8 x 7 x 6)/(3x2x1)	x	(10 x 9 x 8 x 7	)/(4x3x2x1)   = 11760.   Option 11760
Answer: C
How many litres of water must be added to 16 liters of milk and water contains 10% water to make
it 20% water in it	Choose the correct answer:
A) 4 litre
B) 2 litre
C) 1 litre
D) 3 litre
E) None of these

Solution: Explanation :   2 litrey the rule of alligation, we have   % Concentration of water   in pure water : 100 % Concentration of water   in the given mixture : 10   Mean % concentration   20   20 - 10= 
20 - 10 = 10
10 100 - 20= 80   => Quantity of water : Quantity of the mixture = 10 : 80 = 1 : 8   Here Quantity of the mixture = 16 litres   => Quantity of water : 16 = 1 : 8   Quantity of water = 16×18=2 litre   Answer : Option 2 litre
Answer: B
A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 6 km in stationary water? Options
A) 40 minutes
B) 1 hour
C) 1 hour 15 min
D) 1 hour 30 min
E) 1 hour 10 min

Solution: speed (upstream) =2/1= 
2/1 = 2
2 kmhr   speed (downstream)=1/(10/60)= 
1/(10/60) = 6
6 kmhr   speed in still water= 1/2 (2+6) = 4 kmhr   time taken in stationary = 6/4 = 1 hrs 30 min   ANSWER:1 hour 30 min
Answer: D
There are 3 teams each with 3 basket players. How many combinations are there if we were to pick 2 players from the 3 teams such that no team was picked twice?  Choose the correct option
A) 50	B) 23	C) 27	D) 28	E) 45

Solution: There are altogether three arrangements, which are we can select two members each from team A and B, each from team A and C, and each from team B and C. For each arrangement, there are altogether 9 possibilities (3*3) since each team has 3 players. So there are a total of 27 possibilities (9*3). I hope this method is easier for you to understand.
Answer: C
Fill in the blank with the correct number in this number series: 1, 20, 7, 16, __, 12, 19, ?  Choices
A) 14	B) 12	C) 13	D) 15	E) 11

Solution: This is a simple alternating subtraction and addition series; The first series begins with 1 and adds 6; the second begins with 20 and subtracts 4, and so on.   Answer: 13
Answer: C