MU-NLPC/Calc-aqua_rat huggingface dataset:
An amount of Rs.3120 was divided among A, B and C, in the ratio 1/2 : 1/3 : 1/4. Find the share of C?
Choose the correct choice from the following answers: A) 720 B) 360 C) 250 D) 280 E) 290

Solution: Let the shares of A, B and C be a, b and c respectively.   a : b : c = 1/2 : 1/3 : 1/4   Let us express each term with a common denominator which is the last number divisible by the denominators of each term i.e., 12.   a : b : c = 6/12 : 4/12 : 3/12 = 6 : 4 : 3.   Share of C = 3/13 * 3120 = Rs. 720   720nswer: 720
Answer: A
The length of the bridge, which a train 170 meters long and travelling at 45 km/hr can cross in 30 seconds, is:	Choose one.
A) 239
B) 277
C) 205
D) 88
E) 232

Solution: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (170 + X)/30   = 25/2 ==> 2(170 + X) = 750 ==> X = 205 m.   Answer: 205
Answer: C
A man swims downstream 28 km and upstream 12 km taking 2 hours each time, what is the speed of the man in still water?  Pick one.
A) 10
B) 8
C) 5
D) 2
E) 4

Solution: 28 --- 2 DS = 14   ? ---- 1   12 ---- 2 US = 6   ? ---- 1 M = ?   M = (14 + 6)/2= 
(14 + 6)/2 = 10
10   10nswer:10
Answer: A
Combine terms: 12a + 26b -4b – 16a.
Pick one:
A) 4a + 22b	B) -28a + 30b.	C) -4a + 22b	D) 28a + 30b.	E) -30b+28a

Solution: 12a + 26b -4b – 16a.   = 12a – 16a + 26b – 4b.   = -4a + 22b   correct answer -4a + 22b
Answer: C
Kanul spent $35000 in buying raw materials, $40000 in buying machinery and 20% of the total amount he had as cash with him. What was the total amount?	Pick one.
A) $87952  B) $93750  C) $89542  D) $95820  E) $84256

Solution: Let the total amount be x   then, (100-20)% of x = 35000+40000   80% of x = 75000   80x/100 = 75000   x = $93750   Answer is $93750
Answer: B
In an examination paper, there are two groups each containing 4 questions. A candidate is required to attempt 5 questions but not more than 3 questions from any group. In how many ways can 5 questions be selected?  Choose the correct choice from the following options.
A) 24  B) 48  C) 96  D) 64  E) none

Solution: Solution:   5 questions can be selected in the following ways,   2 question from first group and 3 question from second group Or 3 question from first group and 2 question from second group.   (4C2 * 4C3) +(3C4 *2C4),   = 24 +24= 
24 +24 = 48
48   Answer: Option 48
Answer: B
A worker's daily wage is increased by 40% and the new wage is $35 per day. What was the worker's daily wage before the increase?	Choose the correct choice from the following options:
A) $20
B) $21
C) $24
D) $25
E) $28

Solution: Let x be the daily wage before the increase.   1.4x = $35   x = $25   The answer is $25.
Answer: D
A division of a company consists of six men and six women. If two of these twelve employees are randomly selected as representatives of the division, what is the probability that both representatives will be female?  Choose the correct answer.
A) 5/22	B) 7/22	C) 5/33	D) 7/33	E) 5/66

Solution: The total number of ways to choose two representatives is 12C2=66.   The number of ways to choose two females is 6C2=15.   P(choosing two female representatives)=15/66=5/22   The answer is 5/22.
Answer: A
There are 12 towns grouped in four zones with three towns per zone. It is intended to connect the towns with a telephone lines such that each every two towns are connected with three direct lines if they belong to the same zone, and with only one direct line otherwise. How many direct telephone lines are required ?  Pick.
A) 72 B) 90 C) 96 D) 144 E) 128

Solution: Explanation :   There are 3 towns.   Each town connects with the other town in 3 lines.   Hence total number of lines is 3 x 3 = 9.   Hence 1 zone has 9 direct links within it.   So 4 zones have 9 x 4 = 36 direct links within it.   Now, between zones/ interzone:   Consider a town in Zone 1. There are 9 towns outside this zone.   Hence 9 lines are required to connect between this town and the other 9 towns.   Similarly, there are 12 towns, each with 9 towns outside its own zone.   So, totally, there will be 9 x 12 / 2 = 9 x 6 = 54 lines inter zone (Divided by 2 comes here because, after half, it is repeated).   So, the total number of lines will be 36 (within zone) + 54 ( inter zone) = 90.   Answer : 90
Answer: B
In an examination, 25% of total students failed in Hindi, 48% failed in English and 27% in both. The percentage of these who passed in both the subjects is :
Select:
A) 23  B) 54  C) 28  D) 40  E) 81

Solution: Explanation:   Formula n(aâˆªb) = n(a) + n(b) âˆ’ n(aâˆ©b)   Fail in Hindi or English = 25 + 48 â€“ 27 = 46   Therefore students who passed = 100 â€“ 46 = 54.   Answer: 54
Answer: B
A bag contains a total of 93 coins in the form of one rupee and 50 paise coins. If the total value of coins in the bag is Rs.56, find the number of 50 paise coins in the bag?	Select:
A) 60
B) 56
C) 64
D) 74
E) 72

Solution: Let the number of one rupee coins in the bag be x.   Number of 50 paise coins in the bag is 93 - x.   Total value of coins   [100x + 50(93 - x)]paise = 5600 paise   => x = 74   ANSWER:74
Answer: D
A train is moving at 6/7 of its usual speed. The train is 10 minutes too late. What is the usual time (in hours) for the train to complete the journey?
Choose the correct answer:
A) 0.5
B) 1
C) 1.5
D) 2
E) 2.5

Solution: new time = d / (6v/7) = 7/6 * usual time   10 minutes represents 1/6 of the usual time.   The usual time is 1 hour.   The answer is 1.
Answer: B
A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is	Choices:	A) 5	B) 2	C) 6	D) 9	E) 22

Solution: Explanation:   Let the son's present age be x years. Then, man's present age = (x + 24) years.   (x + 24) + 2 = 2(x + 2)   x + 26 = 2x + 4   x = 22.   Answer: 22
Answer: E
A, B and C invested Rs.2400, Rs.7200 and Rs.9600 respectively, in a partnership business. Find the share of A in profit of Rs.9000 after a year?	Choose the correct choice from the following answers:
A) 1125
B) 2400
C) 7200
D) 2500
E) 2511

Solution: Explanation:   2400:7200:9600   1:3:4   1/8 * 9000= 
1/8 * 9000 = 1_125
1125   1125nswer: 1125
Answer: A
4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?	Choose one:
A) 4	B) 16	C) 8	D) 1	E) 0

Solution: Explanation :   Let the required number of mats be x   More mat-weavers, more mats (direct proportion)   More days, more mats (direct proportion)   ⇒ 4 × 4 × x = 8 × 8 × 4   ⇒ x = 2 × 2 × 4 = 16. Answer : Option 16
Answer: B
Sandy bought 65 books for $1180 from one shop and 55 books for $860 from another shop. What is the average price that Sandy paid per book?
Select:
A) $13 B) $15 C) $17 D) $19 E) $21

Solution: average price per book = (1180 + 860) / (65 + 55) = 2040 / 120= 
2040 / 120 = 17
$17   The answer is $17.
Answer: C
A rectangular lawn 70 m × 30 m has two roads each 5 metres wide, running in the middle of it, one parallel to the length and the other parallel to the breadth. Find the cost of gravelling the road at the rate of 4 per square metre.  Choose the correct choice from the following choices.
A) 2,000
B) 1,800
C) 1,900
D) 1,700
E) None of these

Solution: Total area of road   = Area of road which parallel to length + Area of road which parallel to breadth – overlapped road   = 70 × 5 + 30 × 5 – 5 × 5   = 350 + 150 – 25   = 500 – 25 = 475 m2   ∴ 1,900ost of gravelling the road   = 475 × 4 = 1900   Answer 1,900
Answer: C
Cream costs twice as much as skim milk. A certain brand of milk is 4/5 cream and 1/5 skim milk. What fraction of the cost of this brand is due to the cream? Choose the correct choice from the following answers.
A) 3/4
B) 4/5
C) 5/6
D) 7/8
E) 8/9

Solution: Let x be the cost of the skim milk in the mixture.   The cost of the cream is 4x*2 = 8x.   The total cost is x+8x  4 *2= 
 4 *2 = 8
8x.   The total cost is x+8x= 9x and the fraction due to the cream is 8x / 9x = 8/9   The answer is 8/9.
Answer: E
A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 91000, then the share of B is?  Answers:  A) A)44500  B) B)42000  C) C)44098  D) D)43007  E) E)44098

Solution: Ratio of investments of A and B is (70000 * 12) : (120000 * 6) = 7 : 6   Total profit = Rs. 91000   Share of B = 6/13 (91000)   = Rs. 42000   Answer:42000
Answer: B
Find the average (arithmetic mean) of x and y if the average of x, y, and 50 is 20 more than the average of x, y, 50, and 70.  Select the correct option
A) 100 B) 120 C) 140 D) 180 E) 200

Solution: consider "60 is 20 more than 40": 60 = 40 + 20   similarly   (x+y+50)/3 = (x+y+50+70)/4 + 20   (x+y+50)/3 = (x+y+120)/4 + 80/4   (x+y+50)/3 = (x+y+120+80)/4   (x+y+50)/3 = (x+y+200)/4   cross multiply   4(x+y+50) = 3(x+y+200)   4x+4y+200 = 3x+3y+600   4x-3x +4y-3y = 600 - 200   x + y = 400   so   (x+y)/2 = 400/2   (x+y)/2 = 200   thus the average of x and y is 200   200
Answer: E
A spirit and water solution is sold in a market. The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has. A solution of 1 liter of spirit and 1 liter of water costs 30 cents. How many cents does a solution of 1 liter of spirit and 2 liters of water cost? Pick one.
A) 13  B) 30  C) 50  D) 51  E) 52

Solution: Yes, ensure that you understand the relation thoroughly!   Cost per liter = K * Fraction of Spirit   30 cents is the cost of 2 liters of solution (1 part water, 1 part spirit). So cost per liter is 15 cents. Fraction of spirit is 1/2.   15 = K * (1/2)   K = 30   Cost per liter = 30 * (1/3) (1 part spirit, 2 parts water)   Cost for 3 liters = 30 * (1/3) * 3 = 50 cents   B. 30 cents
Answer: B
A person covered one-fourth of the total distance at 26 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
Choose the correct answer:	A) 64/8kmph	B) 64/3kmph	C) 64/9kmph	D) 64/6kmph	E) 64/4kmph

Solution: Let the total distance be x km   total time taken = (x/4)/16 + (3x/4)/24   = x/64 + x/32 = 3x/64   Average speed = x/(3x/64) = 64/3kmph   = 21 (1/3)kmph.   Answer: 64/3kmph
Answer: B
Two trains are running in opposite directions with the same speed. If the length of each train is 60 m and they cross each other in 12 sec, then the speed of each train is?
Pick one
A) 30 B) 35 C) 18 D) 12 E) 38

Solution: Let the speed of each train be x m/sec.   Then, relative speed of the two trains = 2x m/sec.   So, 2x = (60 + 60)/12 => x = 5   Speed of each train = 10 m/sec.   = 5 * 18/5= 
5 * 18/5 = 18
18 km/hr.   Answer: Option 18
Answer: C
A crew can row a certain course up the stream in 84 minutes; they can row the same course down stream in 15 minutes less than they can row it in still water. How long would they take to row down with the stream Choose the correct choice from the following.
A) 45 or 23 minutes B) 63 or 12 minutes C) 69 minutes D) 19 minutes E) 25 minutes

Solution: A method has been discussed here to nullify the calculations though.   All I can input here is,   speed of a crew in still water = 1/2 ( speed upstream + speed downstream)   approximating this for time,   t = 1/2(84+ (t-15))   giving t = 69   69 minutes
Answer: C
The ratio between the length and the breadth of a rectangular park is 1 : 3. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 4 min, then the area of the park (in sq. m) is?
Select.
A) 800 m B) 12000 m C) 36000 m D) 80000 m E) 30000 m

Solution: Perimeter = Distance covered in 4 min. = (12000 x 4)/60 m = 800 m.   Let length = 1x metres and breadth = 3x metres.   Then, 2(1x + 3x) = 800 or x =100.   Length = 100 m and Breadth = 300 m.   Area = (100 x 300) m2 = 30000 m   30000 m
Answer: E
A set of 11 positive integers has an average of 30. Which of the following is the greatest possible value for the median of this set? Choose the correct choice from the following answers
A) 25 B) 30 C) 36 D) 54 E) 46

Solution: for the median to be max , we should take all the values below meadian to be the lowest and the remaining values to be the same..   here 1 is the lowest value(positive int) so the lowest 5 int will equal 5..   remaining 6= 30*11-5=325..   therefore each valueof these 6 int =325/6=54   ans 54
Answer: D
The present ages of three persons in proportions 3 : 7 : 5. Eight years ago, the sum of their ages was 51. Find their present ages (in years).  Answers.
A) 8, 20, 28  B) 16, 28, 36  C) 15,35,25  D) 18, 24, 32  E) None of these

Solution: Explanation:   Let their present ages be 3x, 7x and 5x years respectively.   Then, (3x - 8) + (7x - 8) + (5x - 8) = 51   15x = 75   x = 5   Their present ages are 3x = 15 years, 7x = 35 years and 5x = 25 years respectively.   Answer: 15,35,25
Answer: C
The diagonal of a square is the height in an equilateral triangle. If the side of the square is x, what is the side of the equilateral triangle in terms of x? Pick
A) √(2/3) × x B) 2/√3 × x C) √3x D) √(8/3) × x E) 2√3 × x

Solution: The diagonal of the square   x* sqrt(2)   If that's the altitude of the equilateral triangle, the formula for which is side * sqrt(3)/2   Side is 2 sqrt(2)* x/ sqrt(3)   Answer: (Option √(8/3) × x)
Answer: D
What approximate value should come in place of the question mark (?) in the following equation’?
3 3⁄5 of 157.85 + 39% of 1847 = ? – 447.30  Choices
A) 1200
B) 1500
C) 1600
D) 1800
E) 2100

Solution: ? ≈ 18⁄5 × 160 + 40⁄1000 × 1850 + 450   ≈ 576 + 740 + 450 ≈ 1760 ≈ 1800   Answer 1800
Answer: D
Calculate the positive root of the polynomial (x - 1)(x - 2)(x - 3)(x - 4)- 63.	Choose one:
A) 5+√37/2
B) 4+√37/2
C) 3+√37/2
D) 2+√37/2
E) 6+√37/2

Solution: Note that   (x - 1)(x - 2)(x - 3)(x - 4) - 63 = [(x - 2)(x - 3)][(x -1)(x - 4)] - 63   = (x2-5x + 6)(x2 - 5x + 4) - 63   = [(x2 - 5x + 5 + 1)(x2 - 5x + 5 -1)] - 63   = [(x2 - 5x + 5)2 - 1] - 63   = (x2 -5x + 5)2 - 64   = (x2 - 5x + 5 + 8)(x2 -5x + 5 - 8)   = (x2 - 5x + 13)(x2- 5x - 3):   The polynomial x2 - 5x + 13 has no real roots, while the polynomial x2 -5x - 3 has roots   x=5+-√37/2.   since 5-√37/2<0,   the only positive root is 5+√37/2   correct answer 5+√37/2
Answer: A
If 1/(x+3)+1/(x-3)=1/(x+3), what is the value of x?
Select the correct option
A) 2 B) 3 C) -1 D) -2 E) -3

Solution: If we solve the question, we get x=-3.   Option: -3
Answer: E
A octagon marked 1, 2, 3, 4, 5,6,7 and 8 on its eight sides. four colors, pink, yellow,green and blue are used to paint the eight sides of the octagon. If the adjacent faces are painted with the different colors, in how many ways can the octagon be painted?
Choose the correct option.
A) 6
B) 4
C) 27
D) 12
E) 8

Solution: If the base of the Octagon is pink, then in order the adjacent faces to be painted with the different colors, the top must also be pink. 6 side faces can be painted in Yellow-Blue-Green Yellow-Blue-Green OR Blue-Green-Yellow Blue-Green-Yellow(2 options).   But we can have the base painted in either of the three colors, thus the total number of ways to paint the Octagon is  4*2= 
 4*2 = 8
8.   Answer:8.
Answer: E
When running a mile during a recent track meet, Nuria was initially credited with a final time of 5 minutes, 40 seconds. Shortly after her run, officials realized that the timing mechanism malfunctioned. The stopwatch did not begin timing her until 11/25 of a minute after she began to run. If the time was otherwise correct, how long did it actually take Nuria to run the mile? Choose one.
A) 5 minutes, 17.6 seconds	B) 5 minutes, 21.8 seconds	C) 5 minutes, 43.56 seconds	D) 5 minutes, 44.44 seconds	E) 6 minutes, 10.4 seconds

Solution: One approach:   The watch starts to work after Nuria began his running. It means the time should be greater than credited 5 minutes, 40 seconds. The only number is 6 minutes, 10.4 seconds.   Another approach:   11/25 close to 30 second when added to the 5 minutes, 40 seconds, it means it passes 6 minute.   Answer: 6 minutes, 10.4 seconds
Answer: E
On a sum of money, the S.I. for 2 years is Rs. 660, while the C.I. is Rs. 696.30, the rate of interest being the same in both the cases. The rate of interest is?	Choose the correct choice:
A) 22  B) 99  C) 27  D) 11  E) 37

Solution: Difference in C.I. and S.I for 2 years = (696.30 - 660) = Rs. 36.30.   S.I for one year = Rs. 330.   S.I. on Rs. 330 for 1 year = Rs. 36.30   Rate = (100 * 36.30)/(330 * 1)= 
(100 * 36.30)/(330 * 1) = 11
11%.Answer: 11
Answer: D
In 1990 a total of 100 earthquakes occurred worldwide, some but not all of which occurred in Asia. If 20 of these earthquakes occurred in Asia, which of the following represents the ratio of the number of earthquakes that occurred in Asia to the number that did NOT occur in Asia?
Pick one
A) 1/7 B) 1/6 C) 1/2 D) 1/4 E) 1/3

Solution: We're given a couple of facts to work with:   1) There were a total of 100 earthquakes   2) Of those earthquakes, 20 of them occurred in Asia   We're asked for the ratio of the number of earthquakes that occurred IN ASIA to the number of earthquakes that DID NOT occur in Asia.   Thus, there were 80 earthquakes that DID NOT occur in Asia....   The answer to the question is 20/80 ie. 1/4   Answer : 1/4
Answer: D
Danya prepared 4 different letters to 4 different addresses. For each letter, she prepared one envelope with its correct address. If the 4 letters are to be put into the four envelopes at random, what is the probability that only one letter will be put into the envelope with its correct address?	Choose the correct choice from the following choices.
A) 1/24  B) 1/8  C) 1/4  D) 1/3  E) 3/8

Solution: Total Danya# of ways - 4! = 24.   1/3esired:   A-Mapped to the only correct address----------x 1 way only   B-Mapped to other two incorrect addresses - x 2 ways   C-Mapped to other two incorrect addresses - x 2 ways   1/3-Mapped to other two incorrect addresses - x 2 ways   Therefore, 1*2*2*2/24 = 1/3.?
Answer: D
Excluding stoppages, the speed of a train is 67 kmph and including stoppages it is 51 kmph. Of how many minutes does the train stop per hour?  Choose the correct choice from the following answers
A) 82	B) 17	C) 14	D) 82	E) 18

Solution: Explanation:   T =16/67 * 60 = 14   Answer: Option 14
Answer: C
The mark up between weights of A and B is is 20 percent of the weight of A. The markup is what percent of the weight of B ?
(markup = weight of B - weight of A)
Choices.
A) 8% B) 10% C) 12 1/2% D) 15% E) 16 2/3%

Solution: A = weight of A   B = weight of B   MP = 0.2 A   B = A + 0.2 A = 1.2 A   hence Markup = B-A = 0.2/1.2 B = 1/6 B. Hence MP is 16.67% of B   Answer 16 2/3%
Answer: E
In the sequence S, each term after the first is twice the previous term. If the first term of sequence S is 3, what is the sum of the 14th, 15th, 16th, 17th, 18th and 19th terms in sequence S?	Options:	A) 3(2^16)	B) 9(2^15)	C) 21(2^14)	D) 9(2^14)	E) 189(2^13)

Solution: The terms in the sequence can be shown as   a(n) = 2* a(n-1)   So, the sequence will look like: 3, 2*3, (2^2) *3,...   And the nth term will be given as 2^(n-1) *3   Therefore, a(14) = (2^13)*3, a(15) = (2^14) *3, a(16) = (2^15) *3, a(17) = (2^16) *3 , a(18) = (2^17) *3 and a(19) = (2^18) *3   So, a(14) + a(15) + a(16)+ a(17)+ a(18) = (2^13) *3 + (2^14) *3 + (2^15) *3+ (2^16) *3+ (2^17) *3+ (2^18) *3   = 3* (2^13) *(1+2+4+8+16+32) = 3* (2^13) *63   = 189 * (2^13)   Answer : 189(2^13)
Answer: E
What was the day of the week on 28th May,2006 ? Choose the correct choice:
A) Thursday
B) Friday
C) Saturday
D) Sunday
E) None of these

Solution: Solution   28 May,2006 =(2005 years + Period from 1.1.2006 to 28.5.2006)   Odd days in 1600 years = 0   Odd days in 400 years = 0   5 years =(4 ordinary years + 1 leap year)=(4 x 1 + 1 x 2) odd days   =6 odd days   Jan. Feb. March April May    (31 + 28 + 31 + 30 + 28)= 
 (31 + 28 + 31 + 30 + 28) = 148
148 days=(21 weeks + 1 day)   = 1 odd day   Total number of odd days = (0 + 0 + 6 + 1)= 
(0 + 0 + 6 + 1) = 7
7= 0 odd day.   Given day is Sunday. Answer Sunday
Answer: D
Jerry went to a shop and bought things worth Rs. 40, out of which 30 % went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?	Choose the correct choice from the following options:
A) 19
B) 19.7
C) 21.3
D) 31.5
E) 34.7

Solution: Total cost of the items he purchased = Rs.40   Given that out of this Rs.40, 30 % is given as tax   => Total tax incurred = 30 % = Rs.30/100   Let the cost of the tax free items = x   Given that tax rate = 6%   ∴ (40−30/100−x)6/100 = 30/100   ⇒ 6(40 −0.3 −x) = 30   ⇒ (40 − 0.3 − x) = 5   ⇒ x = 40 − 0.3 − 5 = 34.7   34.7)
Answer: E
Cheese, bologna, and peanut butter sandwiches were made for a picnic in a ratio of 5 to 7 to 8. If a total of 240 sandwiches were made, how many peanut butter sandwiches
were made?  Choose the correct option.
A) 15  B) 30  C) 38  D) 42  E) 96

Solution: For deciding such task we should calculate all parts 5 + 7 + 8= 
5 + 7 + 8 = 20
20 parts   and we should calculate how many sandwiches holds 1 part:   240 / 20= 
240 / 20 = 12
12 sandwiches in one part   For peanut butter we have 8 parts so:    8 * 12= 
 8 * 12 = 96
96   Answer is 96
Answer: E
Two goods trains each 250 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one? Choose the correct choice from the following answers.
A) 24 sec B) 88 sec C) 48 sec D) 18 sec E) 9 sec

Solution: Relative speed = 45 + 30= 
45 + 30 = 75
75 km/hr.   75 * 5/18= 125/6 m/sec.   Distance covered = 250 + 250= 
250 + 250 = 500
500 m.   Required time= 500 * 6/125 = 48 sec.   24 secnswer:24 sec
Answer: A
If the perimeter of a rectangular park is 1000 m, its length when its breadth is 200 m is? Choose the most appropriate option:
A) 50
B) 100
C) 200
D) 300
E) 400

Solution: 2(l + 200) = 1000 => l = 300 m Answer: 300
Answer: D
Two unbiased coins are tossed. What is probability of getting at most one tail ?	Choose the correct choice from the following options
A) 12  B) 13  C) 32  D) 34  E) None of these

Solution: Explanation:   Total 4 cases = [HH, TT, TH, HT]   Favourable cases = [HH, TH, HT]   Please note we need atmost one tail, not atleast one tail.   So probability = 3/4   Answer: 34
Answer: D
Find the area of a parallelogram with base 20 cm and height 10 cm?  Choose the correct option
A) 290 cm2	B) 380 cm2	C) 270 cm2	D) 280 cm2	E) 200 cm2

Solution: Area of a parallelogram = base * height = 20 * 10= 
20 * 10 = 200
200 cm2   Answer:200 cm2
Answer: E
A three-digit code for certain locks uses the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 according to the following constraints. The first digit cannot be 0 or 1, the second digit must be 0 or 1, and the second and third digits cannot both be 0 in the same code. How many different codes are possible?	Choose the correct answer:
A) 144
B) 152
C) 160
D) 168
E) 176

Solution: The first digit can be filled in 8 ways   For second digit , it can either be 0 or 1   Case 1 -   If second digit is 1 ,Third digit can take 10 values   number of codes = 8 * 1 * 10= 
8 * 1 * 10 = 80
80   Case 2 -   If second digit is 0,Third digit can take 9 values ( Third digit can't be zero)   number of codes= 8 * 1 * 9= 
8 * 1 * 9 = 72
72   Total number of codes= 152   Answer 152
Answer: B
A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 30 paisa. If the share of Y is RS. 27, what is the total amount? Choose the most appropriate option:
A) 178  B) 105  C) 176  D) 159  E) 162

Solution: x:y:z = 100:45:30   20:9:6   9 --- 27   35 --- ? => 105   Answer: 105
Answer: B
A monkey ascends a greased pole 10 meters high. He ascends 2 meters in the first minute and then slips down 1 meter in the alternate minute. If this pattern continues until he climbs the pole , in how many minutes would he reach at the top of the pole ?	Choose the correct option:
A) 10th minute  B) 21st minute  C) 17th minute  D) 22nd minute  E) 13th minute

Solution: The money is climbing 1meter in 2min. This pattern will go on till he reaches 10meters. I mean this will continue for first  8*2= 
 8*2 = 16
16mins. he would have reached 8meters. After that he will climb 2meters and he will reach the pole. So total time taken= 16 + 1= 
16 + 1 = 17
17mins.   So, asnwer will be 17th minute
Answer: C