MU-NLPC/Calc-aqua_rat huggingface dataset:
The average age 9 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?	Choose the correct choice
A) 65 years  B) 88 years  C) 18 years  D) 55 years  E) 11 years

Solution: 9 * 2= 
9 * 2 = 18
18 years   Answer: 18 years
Answer: C
If 0 < a< 1 < b, which of the following must be true? Choose the correct choice from the following:
A) 1 < 1/a< 1/b B) 1/a< 1 < 1/b C) 1/a< 1/b< 1 D) 1/b< 1 < 1/a E) 1/b< 1/a< 1

Solution: 0<a<1<b. Let a=1/2 and b=2   Substituting values:   A. 1<2<1/2 ---Wrong   B. 2<1< 1/2 ---Wrong   C. 2<1/2<1 ---Wrong   D. 1/2<1<2 ---Correct   E. 1/2<2<1 ---Wrong   Hence answer is 1/b< 1 < 1/a
Answer: D
4000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%? Select the correct option:  A) 2178  B) 1087  C) 2800  D) 2689  E) 2081

Solution: (x*3*1)/100 + [(4000 - x)*5*1]/100 = 144   3x/100 + 200 – 5x/100 = 144   2x/100 = 56 è x = 2800   Answer: 2800
Answer: C
A man gains 20% by selling an article for a certain price. If the sells it at double the price, the percentage of profit will be?  Pick:
A) 76%.  B) 66%.  C) 89%.  D) 140%.  E) 91%.

Solution: Let C.P. = Rs. x.   Then, S.P. = Rs. (12% of x) = Rs. 6x/5   New S.P. = 2 * 6x/5 = Rs. 12x/5   Profit = 12x/5 - x = Rs. 7x/5   Profit = 7x/5 * 1/x * 100 = 140%.   Answer: 140%.
Answer: D
How many times in a day, the hands of a clock are straight? Choose the correct choice from the following answers
A) 42	B) 41	C) 44	D) 45	E) 46

Solution: Explanation:   In 12 hours, the hands coincide or are in opposite direction 22 times.   In 24 hours, the hands coincide or are in opposite direction 44 times a day.   Answer is 44
Answer: C
Two consultants can type up a report in 12.5 hours and edit it in 7.5 hours. If Mary needs 30 hours to type the report and Jim needs 12 hours to edit it alone, how many E hours will it take if Jim types the report and Mary edits it immediately after he is done?
Pick one:
A) 41.4
B) 34.1
C) 13.4
D) 12.4
E) 10.8

Solution: Break down the problem into two pieces: typing and editing.   Mary needs 30 hours to type the report--> Mary's typing rate = 1/30 (rate reciprocal of time)(point 1 in theory below);   Mary and Jim can type up a report in 12.5and --> 1/30+1/x=1/12.5=2/25 (where x is the time needed for Jim to type the report alone)(point 23 in theory below)--> x=150/7;   Jim needs 12 hours to edit the report--> Jim's editing rate = 1/12;   Mary and Jim can edit a report in 7.5and --> 1/y+1/12=1/7.5=2/15 (where y is the time needed for Mary to edit the report alone) --> y=20;   How many E hours will it take if Jim types the report and Mary edits it immediately after he is done--> x+y=150/7+20=~41.4   41.4nswer: 41.4.
Answer: A
A vessel of capacity 50 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution?	Choose the correct option.
A) 23.89	B) 72.9	C) 33.62	D) 78.3	E) 79.3

Solution: Explanation:   Let the initial quantity of milk in vessel be T litres.   Let us say y litres of the mixture is taken out and replaced by water for n times, alternatively.   Quantity of milk finally in the vessel is then given by [(T - y)/T]^n * T   For the given problem, T = 50, y = 9 and n = 2.   Hence, quantity of milk finally in the vessel   = [(50 - 9)/50]^2 (50) = 33.62 litres.   Answer: Option 33.62
Answer: C
If 9a - b = 10b + 70 = -12b - 2a, what is the value of 11a + 11b?
Choose the correct choice.
A) -4 B) -2 C) 0 D) 2 E) 4

Solution: (i) 9a - 11b = 70   (ii) 2a + 22b = -70   Adding (i) and (ii):   11a + 11b = 0   The answer is 0.
Answer: C
A man has Rs.10350 in the form of Rs.50 notes and Rs.500 notes. The total number of notes are 108.Find the number of notes of Rs.50 denomination.	Select.
A) 15	B) 21	C) 17	D) 19	E) 97

Solution: Total Money = Rs. 10350.   Let 50 rupees note was X.   Then 500 rupees note = 108 - X   Now,   50*X + 500 * (108 - X) = 10350   50X + 54000 - 500X = 10350   - 450X = - 43650   X = 97.   No. of 50 rupees note = 97.   Answer: Option 97
Answer: E
If x is an integer, then x(x – 1)(x – k) must be evenly divisible by three when k is any of the following values EXCEPT	Choose the most appropriate option
A) -4  B) -2  C) -1  D) 2  E) 5

Solution: There is probably an easier way, but I just used the picking numbers option for this.   I chose x=2   2(1)(2-k) then just plugged in the answer choices for K until one wasn't evenly divisible by 3.   B gives you 8. 8/3 is not an integer.   -2 is the answer
Answer: B
Sunitha’s age is 1/6th of her father’s age. Her father’s age will be twice of Varun’s age after 10 years. If Varun’s eight birthday was celebrated two years ago, then what is Sunitha’s present age?
Choose the correct choice from the following choices
A) 30 years B) 24 years C) 6 years D) 7 years E) None of these

Solution: Varun’s present age = 8 + 2= 
8 + 2 = 10
10 yrs   F + 10= 2 (V + 10) = 2 (10+ 10)   F = 30, S = 30/6= 
30/6 = 5
5 years.   Therefore its none of the these.   ANSWNone of theseR:None of these
Answer: E
Walking at 4/5 of her normal speed, a worker is 10 minutes later than usual in reaching her office. The usual time (in minutes) taken by her to cover the distance between her home and her office is Choose the correct choice from the following answers:
A) 30
B) 35
C) 40
D) 45
E) 50

Solution: Let V be her normal speed and let T be her normal time.   D = (4/5)V * (T+10)   Since the distance is the same we can equate this to a regular day which is D = V*T   V*T = (4/5)V * (T+10)   T/5 = 8   T=40   The answer is 40.
Answer: C
What number comes next?
428, 693, 714, 286, 937, ?  Choose one.
A) 142
B) 231
C) 245
D) 148
E) 123

Solution: 142   142   The numbers 42869371 are being repeated in the same sequence.
Answer: A
A square, with perimeter 20, is inscribed in a circle. What is the area of the circle?
Choices:  A) 8π  B) 11π  C) 10π  D) 12π  E) 12.5π

Solution: Area of circuscribed circle = pi/2*area of square   Area of square = (20/4)^2 = 5^2= 25   Area of circle = pi/2*4=12.5pi   Answer 12.5π
Answer: E
The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?  Choose the correct answer
A) 18 2/18%	B) 18 2/11%	C) 18 3/11%	D) 18 2/17%	E) 18 3/18%

Solution: 13 CP = 11 SP   11 --- 2 CP   100 --- ? =>18 2/11%   Answer: 18 2/11%
Answer: B
A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was 10^5, then what was the number in the population 90 minutes later?	Choose the correct choice from the following
A) 2(10^5)
B) 9(10^5)
C) (2^9)(10^5)
D) (10^9)(10^5)
E) (10^5)^9

Solution: Every 10 minutes, the population is double the previous population.   In 90 minutes, the population doubles 9 times.   The population then is 2^9*10^5.   The answer is (2^9)(10^5).
Answer: C
If (a – b) is 17 more than (c + d) and (a + b) is 3 less than (c – d), then (a – c) is:	Select: A) 6 B) 2 C) 3 D) 7 E) 5

Solution: (a – b) – (c + d) = 17 and (c – d) – (a + b) = 3   => (a – c) – (b + d) = 17 and (c – a) – (b + d) = 3   => (b + d) = (a – c) – 17 and (b + d) = (c – a) – 3   => (a – c) – 17 = (c – a) – 3 => 2(a – c) = 14 => (a – c) = 7   ANSWER:7
Answer: D
In a game of 100 points,A can give B 20 points and C 28 points.Then, B can give C :	Pick one.
A) 8 points
B) 10 points
C) 14 points
D) 40 points
E) 50 points

Solution: Solution   A : B = 100 : 80 and A : C = 100 : 72.   ∴ B/C=(B/C x A/C) = (80/100 x 100/72)= 10/9 =100/90= 100 : 90.   ∴ B can give C 10 points.   Answer 10 points
Answer: B
The price for a loaf of bread in April was $1.17, in May the price was $1.32, and in June the price was $1.08. If 2/3 as much bread was sold in April as in May, and twice as much was sold in June as in April, what was the average price for a loaf of bread sold during the three-month period? Choose the correct choice from the following answers:
A) $1.16
B) $1.17
C) $1.18
D) $1.19
E) $1.20

Solution: Let x be the number of loaves sold in May.   Then 2x/3 loaves were sold in April and 4x/3 loaves were sold in June.   The average price was (2x/3)(117) + 132x + (4x/3)(108) / (2x/3 + x + 4x/3) =   (78 + 132 + 144) / (3) = 354/3 = $1.18   The answer is $1.18.
Answer: C
A vendor buys 10 t-shirts at an average price of $14 per t-shirt. He then buys 15 more t-shirts at an average price of $11 per t-shirt. What is the average price B per t-shirt that the vendor paid for these purchases?  Choices
A) $12.20	B) $12.50	C) $12.55	D) $12.70	E) $13.00

Solution: Correct Answer: A   Explanation: The relevant formula for this problem is Average B= (Sum)/(Number of Terms). Another way to look at the formula is Sum = Average x Number of Terms. For the first purchase, the vendor's sum (total cost) was $140, since 14 x 10 = 140. For the second purchase, the vendor's cost was $165, since 11 x 15 = 165. The grand sum is then $140 + $165, which equals $305. The total number of shirts purchased was 25, so to get the average price per shirt, we divide 305 by 25, which equals $12.20. As a result, the correct answer is A.   NOTE: A relative understanding of weighted average offers a shortcut to this problem. Because the true average of 11 and 14 is 12.5, but the vendor sells more shirts at the lower price than at the higher price, the weighted average must be less than $12.50; only answer choice $12.20 is a possibility.
Answer: A
The average of 13 numbers is 60. Average of the first 7 of them is 54 and that of the last 7 is 61. Find the 8th number?
Pick:  A) 25  B) 83  C) 45  D) 53  E) 64

Solution: Sum of all the 13 numbers = 13 * 60= 
13 * 60 = 780
780   Sum of the first 7 of them= 7 * 54= 
7 * 54 = 378
378   Sum of the last 7 of them= 7 * 61= 
7 * 61 = 427
427   So, the 8th number= 427 + 378 - 780= 
427 + 378 - 780 = 25
25.   25nswer:25
Answer: A
A shop that sells phone accessories had the following sales: 10 thousand earbuds at $10 each, 5300 phone cases at $12 each and 450 power banks at $50 each. What % of the shop's revenue is from power banks? Pick one:	A) 11.1%	B) 12.1%	C) 10.1%	D) 9.1%	E) 13.1%

Solution: Correct Answer: 12.1%   The company's total revenue from earbuds=10000*$10=$100000   The company's total revenue from phone cases10000* 10= 
10000* 10 = 100_000
$100000   The company's total revenue from phone cases=5300*$12=$63600   The company's total revenue from power banks5300* 12= 
5300* 12 = 63_600
$63600   The company's total revenue from power banks=450*$50=$22500   The combined total of all sales450* 50= 
450* 50 = 22_500
$22500   The combined total of all sales=$186100   Therefore % of power banks sales=22500/186100*100= 12.1%
Answer: B
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 the correct option
A) 276  B) 299  C) 312  D) 322  E) None

Solution: Solution   Clearly, the numbers are (23 x 13) and (23 x 14).   Larger number = (23 x 14)	= 322.   Answer 322
Answer: D
If the population of a certain country increases at the rate of one person every 15 seconds, by how many persons does the population increase in 25 minutes? Choose the correct choice from the following answers
A) 80 B) 100 C) 150 D) 240 E) 300

Solution: Since the population increases at the rate of 1 person every 15 seconds, it increases by 4 people every 60 seconds, that is, by 4 people every minute. Thus, in 25 minutes the population increases by 25 x 4 = 100 people.   Answer. 100.
Answer: B
The greatest number of 5 digits = 99999.  Choose the correct choice from the following choices
A) 137	B) 143	C) 77	D) 88	E) 11

Solution: Answer:143
Answer: B
The Full House Casino is running a new promotion. Each person visiting the casino has the opportunity to play the Trip Aces game. In Trip Aces, a player is randomly dealt three cards, without replacement, from a deck of 8 cards. If a player receives 3 aces, they will receive a free trip to one of 10 vacation destinations. If the deck of 8 cards contains 3 aces, what is the probability that a player will win a trip?  Select
A) 1/336  B) 1/120  C) 1/56  D) 1/720  E) 1/1440

Solution: P=P(ace in the first draw)*P(ace in the second draw)*P(ace in the third draw)=3/8*2/7*1/6=1/56.   Answer: 1/56.
Answer: C
A goods train runs at the speed of 72 km/hr and crosses a 150 m long platform in 26 sec. What is the length of the goods train? Select the correct option.
A) 299	B) 277	C) 276	D) 370	E) 281

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec.   Time= 26 sec.   Let the length of the train be x meters.   Then, (x + 150)/26 = 20   x = 370 m.   Answer: 370
Answer: D
If a certain number of people can dig earth 100m deep, 25m long, and 30m broad in 12 days, then find the number of days the same number of people will require to dig earth 75m deep, 20m long and 50m broad. Choose one.
A) 12 B) 18 C) 6 D) 1 E) 17

Solution: Explanation:   More number of days means – more length, more depth and more width. Hence, it’s a direct proportion.   (100*25*30):(75*20*50)::12:x   75000:75000::12:x   x = 12   12NSWER 12
Answer: A
In a certain apartment building, there are one-bedroom and two-bedroom apartments. The rental prices of the apartment depend on a number of factors, but on average, two-bedroom apartments have higher rental prices than do one-bedroom apartments. Let M be the average rental price for all apartments in the building. If M is $700 higher than the average rental price for all one-bedroom apartments, and if the average rental price for all two-bedroom apartments is $2,100 higher that M, then what percentage of apartments in the building are two-bedroom apartments?
Choose the correct answer:
A) 25% B) 15% C) 20% D) 40% E) 45%

Solution: Ratio of 2 Bedroom Apartment: 1 Bedroom Apartment = 700 : 2100 -----> 1 : 3   Let total number of Apartments be X   No. of 2 Bedroom 25%partment = (1 / 4) * X   percentage of apartments in the building are two-bedroom apartments ---->   (1/4) * 100 ---> 25%   25%nswer : 25%
Answer: A
A person purchased a TV set for Rs. 2700 and a DVD player for Rs. 200 . He sold both the items together for Rs. 3180. What percentage of profit did he make?
Select the correct option
A) 20%  B) 6%  C) 40%  D) 5%  E) 3%

Solution: The total CP = Rs. 2700 + Rs. 300   = Rs. 3000 and SP = Rs. 3180   Profit(%)   = (3180- 3000)/3000 * 100= 
(3180- 3000)/3000 * 100 = 6
6%   Answer: 6%
Answer: B
Three cubes of edges 6 cms, 8 cms and 10 cms are meted without loss of metal into a single cube. The edge of the new cube will be: Choose one:
A) 8 cms	B) 12 cms	C) 14 cms	D) 16 cms	E) None

Solution: Volume of new cube = Volume of cube 1 + cube 2 + cube 3 = 63 + 83 + 103, = 216 + 512 + 1000   a3 = 1728,   a = (1728)1/3 = 12   Answer: 12 cms
Answer: B
The ratio of the ages of Maala and Kala is 1 : 4. The total of their ages is 2.0 decades. The proportion of their ages after 0.5 decades will be
[1 Decade = 10 years]	Pick one.
A) 6:5	B) 3:4	C) 2:5	D) 7:9	E) 3:6

Solution: Let, Maala’s age = A and Kala’s age =4A   Then A + 4A = 20   A =5   Maala’s age = 5 years   and Kala’s age = 20 years   Proportion of their ages after 5 is = (5 + 5) : (20 + 5)   = 10 : 25   = 2 : 5   Answer : 2:5
Answer: C
If grapes are 92% water and raisins are 20% water, then how much did a quantity of raisins, which currently weighs 13 pounds, weigh when all the raisins were grapes? (Assume that the only difference between their raisin-weight and their grape-weight is water that evaporated during their transformation.)
Choose the correct choice from the following choices:
A) 25 pounds
B) 46 pounds
C) 92 pounds
D) 130 pounds
E) 146 pounds

Solution: Since only water evaporates, then the weight of pulp (non-water) in grapes and raisins is the same. Thus 0.08*{weight of grapes}=0.8*{weight of raisins} --> 0.08x = 0.8*13 --> x = 130.   Answer: 130 pounds.
Answer: D
Simple interest on a certain sum at a certain annual rate of interest is 1/4 of the sum. If the numbers representing rate percent and time in years be in the ratio 1:4, then the rate of interest is:  Choose the correct choice from the following answers
A) 4 1/2 %.	B) 3 1/2 %.	C) 2 1/2 %.	D) 2 3/4 %.	E) 4 3/4 %.

Solution: Explanation :   Let sum = x. Then, S.I. = x/4   Let rate = R% and time = R years.   [x * R * 4R / 100] = x / 4 ? R^2 = 25/4   R = 5/2 = 2 1/2.   Hence, R = 2 1/2 %.   Answer : 2 1/2 %.
Answer: C
A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth?  Select the correct option:  A) 26  B) 88  C) 90  D) 42  E) 22

Solution: SP of 1m of cloth = 8925/85 = Rs. 105   CP of 1m of cloth = SP of 1m of cloth - profit on 1m of cloth   = Rs. 105 - Rs. 15 = Rs. 90   Answer:90
Answer: C
Which of the following fraction is smallest?	Select
A) 23/28
B) 14/15
C) 15/19
D) 21/24
E) 23/25

Solution: 23/28 =0.821   14/15 = 0.933   15/19 = 0.7894   21/24= 
21/24 = 7/8 = around 0.875
0.875   So, 15/19= 0.7894 is smallest.   ANSWER:15/19
Answer: C
A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.2 m and its walls are 5 cm thick. The thickness of the bottom is:  Choose the correct choice from the following choices:
A) 90 cm B) 2 dm C) 1 m D) 1.1 cm E) None of these

Solution: Explanation:   Let the thickness of the bottom be x cm.   Then , [(330 - 10) × (260 - 10) × (120 - x)] = 8000 × 1000   => 320 × 250 × (120 - x) = 8000 × 1000   => (120 - x) = 8000×1000/320=   100   => x = 20 cm = 2 dm.   Answer: 2 dm
Answer: B
A classroom has equal number of boys and girls. Eight girls left to play kho-kho, leaving twice as many boys as girls in the classroom. What was the total number of girls and boys present initially?
Choose the most appropriate option.
A) 16	B) 24	C) 32	D) 48	E) 54

Solution: after 8 girls left remaining 8 girls   now boys 16 are twice as many as remaining girls.   initially boys=16 and girls=16.   ANSWER:32
Answer: C
On average, activated yeast cells divide once every 120 minutes; that is, each individual cell divides into two individual cells over that time span. Given that a certain yeast colony consisted of 310,000 cells two hours ago, approximately how many cells will be populating the colony twelve hours from now?
Choose the correct option.
A) 77,500  B) 1,860,000  C) 2,480,000  D) 3,720,000  E) 39,680,000

Solution: 310,000 × 2 × 2×2×2x2×2×2 = 310,000 × 128 = 39,680,000
Answer: E
The average runs scored by a batsman in 20 matches is 40. In the next 10 matches the batsman scored an average of 30 runs. Find his average in all the 30 matches? Choose the correct choice.
A) 31  B) 36.67  C) 88  D) 13  E) 12

Solution: Total score of the batsman in 20 matches = 800.   Total score of the batsman in the next 10 matches = 300.   Total score of the batsman in the 30 matches = 1100.   Average score of the batsman = 1100/30 = 36.67.   Answer:36.67
Answer: B
An investment yields an interest payment of $240 each month. If the simple annual interest rate is 9%, what is the amount of the investment?	Options.
A) $28,300	B) $30,400	C) $31,300	D) $32,500	E) $32,000

Solution: Let the principal amount = P   Simple annual interest = 9%   Simple monthly interest = (9/12) = (3/4)%   (3/4)*(P/100) = 240   =>P = (240 *4 * 10^2 )/3   = 80*4*10^2   = 320 * 10^2=32000   Answer $32,000
Answer: E
I have to run a 100 meter dash.
How many steps would I need to take if with each step i cover 20 centimeters ?	Choose the correct choice.
A) 20  B) 500  C) 50  D) 10  E) 45

Solution: 100centimeters=1meter   x centimeters=100meters   (20 centimeters per step) x (nos running steps)=10000 centimeters   nos running steps= 10000 centimeters /20 centimeters   500steps   The answer is 500
Answer: B
Let n~ be defined for all positive integers n as the remainder when (n - 1)! is divided by n.
What is the value of 33~ ?  Choose the correct option:
A) 31
B) 1
C) 2
D) 8
E) 0

Solution: n~ = (n-1)!   so 33~ = (33-1)= 
(33-1) = 32
32!   when 32!/33 we have 16*2 inside 32!   hence 33 gets cancelled and we get remainder as 0   0
Answer: E
The side of a rhombus is 26 m and length of one of its diagonals is 20 m. The area of the rhombus is? Choices.
A) 218 B) 265 C) 268 D) 480 E) 261

Solution: 262 – 102 = 242   d1 = 20 d2 = 48   1/2 * 20 * 48= 
1/2 * 20 * 48 = 480
480   Answer: 480
Answer: D
If the price of sugar rises from Rs.10 per kg to Rs. 12 per kg, a person, to have no increase in the expenditure on sugar, will have to reduce his consumption of sugar by
Choose the correct choice from the following answers:
A) 17% B) 20% C) 25% D) 30% E) none

Solution: Sol.   Let the original consumption = 100 kg and new consumption = x kg.   So, 100 x 10 = x × 12 = x = 83 kg.   ∴ Reduction in consumption = 17%.   17%nswer 17%
Answer: A
The average of 20 number is zero of them at the most, how many may be greater than zero ?
Choose the correct choice from the following answers: A) 0 B) 1 C) 10 D) 19 E) 20

Solution: Solution   average of 20 numbers = 0.   ∴ Sum of 20 numbers = (0×20) = 0.   it is quite possible that 19 of these number may be positive and if their sum is a, then 20th number is (-a). Answer 19
Answer: D
The average of 35 students in a class is 16 years. The average age of 25 students is 14. What is the average age of remaining 10 students? Choose the correct choice from the following:
A) 21 years
B) 22 years
C) 23 years
D) 24 years
E) 25 years

Solution: Sum of the ages of 14 students   = (16 * 35) - (14 * 25) = 560 - 350= 
560 - 350 = 210
210   Required average= (210/10)= 
(210/10) = 21
21 years.   21 yearsnswer:21 years
Answer: A
A and B can do a piece of work in 7 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in?  Choices.
A) 11 days  B) 66 days  C) 30 days  D) 77 days  E) 88 days

Solution: 30 days = 1/5 – 1/6 = 1/30 => 30 days   Answer: 30 days
Answer: C
A man rides at the rate of 40km/hr. But stops 20minutes to change horses at the end of every 25th kilometer. How long will he take to go a distance of 200 kilometers?	Options:
A) 5hr B) 6hr 30min C) 8hr 10min D) 7hr 20min E) 9hr

Solution: speed of man = 40km/hr   number of rests = (200/25)-1= 
(200/25)-1 = 7
7   time taken for the man= (200/40)+7*(20/60) = 7 hr 20 min   Answer is 7hr 20min
Answer: D
The letters U and S are rearranged to form the word 'US'. Find its probability. Choose the correct choice from the following choices
A) 1/4	B) 1/3	C) 1/2	D) 1/7	E) 1/5

Solution: Explanation :   There are total 2 letters. The probability that S gets the first position is 1/2.   The probability that S is in the second position is 1/1.   Hence, the required probability is:-   => (1/2) x 1.   => 1/2   Answer : 1/2
Answer: C
In a nationwide poll, N people were interviewed. If 1/6 of them answered yes to question 1, and of those, 1/2 answered yes to question 2, which of the following expressions represents the number of people interviewed who did NOT answer yes to both questions?	Choose the correct choice from the following answers.
A) N/8 B) 7N/8 C) 11N/12 D) 17N/24 E) 41N/48

Solution: The number of people who answered yes to both questions is (1/2)(1/6)N = N/12   The number of people who did not answer yes to both is 1 - N/12 = 11N/12   The answer is 11N/12.
Answer: C
If n is an integer, when (2n + 2)2 is divided by 4 the remainder is Choose the correct choice from the following answers:
A) 0	B) 1	C) 2	D) 3	E) 4

Solution: We first expand (2n + 2)2   (2n + 2)2 = 4n 2 + 8 n + 4   Factor 4 out.   = 4(n 2 + 2n + 1)   (2n + 2)2 is divisible by 4 and the remainder is equal to 0. The answer is 0.
Answer: A