MU-NLPC/Calc-aqua_rat huggingface dataset:
At a summer camp with 1,500 participants, 1/2 of the campers are aged 10 to 12. Next year, the number of campers aged 10 to 12 will increase by 1/3. After this change, what percentage of the total 1,500 campers will the 10 to 12-year-olds represent?	Answers.
A) 62 B) 64 C) 65 D) 66 2/3% E) 67

Solution: Total - 1,500 participants   campers are aged 10 to 12 = (1/2)*1500= 
(1/2)*1500 = 750
750   Next year, campers are aged 10 to 12= (4/3)*750= 
(4/3)*750 = 1_000
1000   Percentage= (1000/1500)*100 = 66 2/3%   Answer: Option 66 2/3%
Answer: D
A cricket team plays games only against the other five teams in its league and always in the following order: A, B, C, D and E. If the team’s final game of the season is against D, which of the following could be the number of games in the team’s schedule?	Choose the correct choice.
A) 18
B) 81
C) 56
D) 72
E) 24

Solution: IMO 'E' is the answer.   Matches will be in multiples of 5x+4. The answer that satisfies this condition is 24
Answer: E
If x and y are positive numbers and z = xy^2, a 50 percent increase in x and a 20 percent decrease in y would result in which of the following changes in z?
Choose the correct choice from the following choices
A) A decrease of 4% B) A decrease of 14% C) An increase of 4% D) An increase of 20% E) An increase of 30%

Solution: z= x*y^2   Now , since x increases by 50 % and y decreases by 20 %   z'=(3/2)x * (8/10)(8/10)y^2   = 192/200 * x*y^2   = 96/100 * x*y^2   = 96/100 * z   a decrease in 4 %   A decrease of 4%nswer A decrease of 4%
Answer: A
The soldiers in two armies when they met in a battle were in the ratio of 10 : 3. Their respective losses were as 20 : 3 and the survivors as 40 : 13. If the number of survivors in the larger army be 24,000, find the original number of soldiers in each army ?	Choose the most appropriate option:
A) 28000, 8400
B) 25000, 7500
C) 29000, 2750
D) 26000, 7800
E) 27000, 7800

Solution: Let the soldiers in the two armies be 10X, 3X and losses be 20Y, 3Y,   Then we have,   10X - 20Y = 24000 ...(i)   28000, 8400nd 3X - 3Y = 24000 x 13/40 = 7800   Solving, we have 10X = 28000, 3X = 8400   28000, 8400NSWER:28000, 8400
Answer: A
Ice-ColdIce-cream factory produces only tricolor ice-cream products, where each ice-cream has three stripes of different colors. The factory uses the colors pink, purple, orange, silver, blue and GREEN. How many different ice-cream products have at least one stripe out of the following colors: pink, purple or orange (assume that the order of the stripes in a single ice-cream does not matter)?	Choose the most appropriate option.
A) 12
B) 14
C) 18
D) 19
E) 20

Solution: IMO: D - 19   There are 6C3 = 20 ways to create different colored ice cream products. Out of these 20, only 1 (Silver, Blue, GREEN) will not contain at least one of the colors pink, purple, or orange. 20 - 1 = 19.   The other way would be to calculate the number of ice cream products that contain at least one of the colors pink, purple, or orange (PPO).   #1: Pick one out of PPO and two out of SBP: 3C1 * 3C2 = 3 * 3= 
3 * 3 = 9
9   #2: Pick two out of PPO and one out of SBP: 3C2 * 3C1= 3 * 3= 
3 * 3 = 9
9   #3: Pick three out of PPO: 3C3= 1   9 + 9 + 1= 
9 + 9 + 1 = 19
19   answer is 19
Answer: D
What percent of 11 is 11 percent of 1? Pick one:  A) 1  B) 0.01  C) 0.1  D) 13  E) 101.

Solution: 11 % of 1 = (11/100) * 1 = 11/100   To determine what percentage of 11 this is :   [11][/100*11] *100 = 1%   1ns : 1
Answer: A
A company assigns product codes consisting of all the letters in the alphabet.How many product codes are possible if the company uses at most 4 letters in its codes, and all letters can be repeated in any one code? Options.
A) A.15600
B) B.16226
C) C.17576
D) D.18278
E) E.475254

Solution: The no of ways in which the company can make codes of 1 letter : 26   # for 2 letters :   26*26= 
  26*26 = 676
676   # for 3 letters :   26 * 26*26= 
  26 * 26*26 = 17_576
17576   # for 4 letters :   26 * 26*26*26= 
  26 * 26*26*26 = 456_976
456976   The total : By adding all of them , 26+676+17576+456976=475254   E.475254.
Answer: E
Mary and Mike enter into a partnership by investing $700 and $300 respectively. At the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business. If Mary received $800 more than Mike did, what was the profit made by their business in that year?	Choices.
A) $2000 B) $6000 C) $4000 D) $1333 E) $3000

Solution: Explanatory Answer   Let the profit made during the year be $3x   Therefore, $x would have been shared equally and the remaining $2x would have been shared in the ratio 7 : 3.   i.e., 70% of 2x would go to Mary and 30% of 2x would go to Mike.   Hence, Mary would get (70 - 30)% of 2x more than Mike   Or 40% of 2x = $800   i.e.,(40/100)*2x = 800   or 2x = 2000.   Hence, the profit made by the company during the year $3x = $3000.   The correct choice is ($3000)
Answer: E
In how many ways a committee, Consisting of 5 men and 6 women can be formed from 8 men and 10 women?
Select
A) 266	B) 86400	C) 11760	D) 5040	E) 720

Solution: To choose Required number of ways to form a committee:   Select 5 men out of 8 men and 6 women out of 10 women.   That is 8C5 * 10C6.   8117605=8!/3!*5!   8117605=8*7*6*5!/(3*2*1)*5!=56   10117606=10!/6!*4!   10117606=10*9*8*7*6!/6!*(4*3*2*1)=210   The Required number of ways=210*56= 
210*56 = 11_760
11760
Answer: C
If the price of 6 toys is Rs. 264.37, what will be the approximate price of 5 toys ? Answers:  A) Rs. 140  B) Rs. 100  C) Rs. 200  D) Rs. 220  E) None of these

Solution: Solution   Let the required price be Rs. x . Then, less toys, less cost   ∴ 6 : 5 :: 264.37 : x ⇔ 6x = (5 × 264.37) ⇔ x = (5x264.37)/6 ⇔ x = 220.308.   ∴ Approximate price of 5 toys = Rs. 220. Answer Rs. 220
Answer: D
if P represents the number of prime numbers between 1 and 102 then what is the value of P? Choose the correct choice from the following choices:
A) 25
B) 26
C) 27
D) 28
E) 29

Solution: Units digit of a prime number except 2 will always be odd ( 1,3 , 5 , 7 , 9 )   So start working around.   01 - 09 = 2, 3 ,5 , 7   10 - 19 = 11, 13 , 17 , 19   20 - 29 = 23 , 29   30 - 39 = 31 , 37   40 - 49 = 41 , 43 , 47   50 - 59 = 53 , 59   60 - 69 = 61 , 67   70 - 79 = 71 , 73 , 79   80 - 89 = 83 , 87 , 89   90 - 99 = 97   100 - 102 = 101   Count you will get 26 Prime numbers   ANSWER:26
Answer: B
Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Six years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years? Choose the correct choice from the following options:
A) Can't be determined	B) 48	C) 27	D) 24	E) None of these

Solution: Explanation:   Let the present ages of Sameer and Anand be 5x years and 4x years respectively.   Then, (5x+6)/(4x+6)=11/9   ⇒ 45x + 54 = 44x + 66⇒ 9(5x + 6) = 11(4x + 6)   ⇒ 45x - 44x = 66 - 54= 
66 - 54 = 12
12.   Anand's present age= 4x = 48 years.   Answer: 48
Answer: B
Pipe A can fill a tank in 6 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled ? Pick one.
A) 2.5 hours
B) 3.3 hours
C) 3.5 hours
D) 3 hours
E) None of these

Solution: Explanation:   Part filled by A in 1 hour = 1/6   Part filled by B in 1 hour = 1/10   Part filled by C in 1 hour = 1/30   Part filled by (A+B+C) in 1 hour =   1/6+1/10+1/30=9/30   So all pipes will fill the tank in 3.3 hours.   Option 3.3 hours
Answer: B
If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 345, the cost of the article is  Choose the most appropriate option:
A) 289  B) 231  C) 100  D) 288  E) 111

Solution: Explanation:   Let C.P. be Rs. x.   Then, 5% of x = 350 - 345= 
350 - 345 = 5
5   x/20= 5 => x = 100   Answer: 100
Answer: C
111 = O
222 = E
333 = T
444 = S
Reading and analyzing the above, can you find out the following ?
555 = ?  Choose the correct choice from the following answers.
A) J
B) A
C) M
D) K
E) O

Solution: E   O   1 * 1 * 1 = One   2 * 2 * 2 = Eight   3 * 3 * 3 = Twenty seven   4 * 4 * 4 = Sixty Four   For all the above, you can see that the first letter of the sum is the code.   Thus 5 * 5 * 5 = One twenty five   Thus 555 = O.
Answer: E
A, B, C enter into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively. The respective shares of A, B, C in annual profit of Rs. 40,500 are: Choose the correct answer.
A) Rs. 10,500, Rs. 13,500, Rs. 16,500
B) Rs. 11,500, Rs. 13,000, Rs. 16,000
C) Rs. 11,000, Rs. 14,000, Rs. 15,500
D) Rs. 11,500, Rs. 12,500, Rs. 16,500
E) Rs. 12,500, Rs. 12,500, Rs. 16,500

Solution: A:B:C = 35000 : 45000 : 55000 = 7:9:11   A's share = 40500 * 7/27 = Rs. 10500   B's share = 40500 * 9/27 = Rs. 13500   C's share = 40500 * 11/27 = Rs. 16500   Rs. 10,500, Rs. 13,500, Rs. 16,500NSWER:Rs. 10,500, Rs. 13,500, Rs. 16,500
Answer: A
A certain bus driver is paid a regular rate of $12 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $976 in total compensation, how many total hours did he work that week?  Choose the correct choice from the following choices.
A) 60	B) 68	C) 65	D) 64	E) 61

Solution: For 40 hrs = 40*12= 
40*12 = 480
480   Excess= 976-480= 
976-480 = 496
496   For extra hours=.75(12)=9+12= 
9+12 = 21
21   Number of extra hrs=496/21=23.62   Total hrs =40+23.62= 
40+23.62 = 63.62
63.62=64 approx.   Answer 64 64
Answer: D
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any no. of prizes? Options:
A) 58
B) 60 ways
C) 64 ways
D) 68
E) 90

Solution: Ans.(C)   Sol. In this case, repetitions are allowed, so all the three prizes can be given in 4 ways, i.e. (4 x 4 x 4) ways = 43 ways = 64 ways Or nr ways = 43 ways = 64 ways
Answer: C
The last digit of 12^12+13^13–14^14×15^15=	Choose the correct option:
A) 0
B) 1
C) 5
D) 8
E) 9

Solution: This question tests the cyclicity concept.   2 has a cyclicity of 4 i.e. 5th power of 2 has same unit digit as 1st power of 2 .   3 also has cyclicity of 4   4 has cycling of 2   5 has 0.   So this complicated calculation boils down to   2^12 +3^13 - 4^14 ×5^15   6+3-6×0=9 as unit digit is answer.   Answer 9
Answer: E
The H.C.F. and L.C.M. of two numbers are 14 and 5040 respectively If one of the numbers is 144, find the other number  Choose the correct choice from the following options:
A) 400
B) 256
C) 120
D) 490
E) None of these

Solution: Explanation:   Solve this question by using below formula.   Product of 2 numbers = product of their HCF and LCM   144 * x = 14 * 5040   x = (14*5040)/144= 
(14*5040)/144 = 490
490   Option 490
Answer: D
Donovan took a math test and got 35 correct and 15 incorrect answers.
What was the percentage of correct answers? (Round to the nearest
hundredth)
Answers.
A) 57.78%	B) 67.78%	C) 70.00%	D) 47.78%	E) 97.78%

Solution: 35 correct our of 50 total (35+15)   35/50   correct answer 70.00%
Answer: C
30 pens and 75 pencils were purchased for 690. If the average price of a pencil was 2.00, find the average price of a pen.
Choose the correct choice from the following choices
A) 10	B) 11	C) 18	D) 13	E) 14

Solution: Since average price of a pencil = 2   ∴ Price of 75 pencils = 150   ∴ Price of 30 pens = (690 – 150) = 540   ∴ Average price of a pen = 540⁄60 = 18   Answer 18
Answer: C
What is the normal price of an article sold at $144 after two successive discounts of 10% and 20%?	Choose the most appropriate option.
A) $184	B) $192	C) $200	D) $208	E) $216

Solution: 0.8*0.9*cost price = $144   cost price = $200   The answer is $200.
Answer: C
The sum of two numbers is 55. Five times one number is equal to 6 times the other. The bigger of the two numbers is Select the correct option
A) 10	B) 12	C) 14	D) 15	E) 30

Solution: a:b 5:6   a+b=55   5x+6x=55   x=5   then two numbers are 25,30. The bigger number is 30   ANSW30R:30
Answer: E
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?	Select the correct option
A) 246 m	B) 240 m	C) 257 m	D) 577 m	E) 567 m

Solution: Speed = (54 * 5/18) m/sec = 15 m/sec. Length of the train   = (15 x 20)m = 300 m. Let the length of the platform be x meters. Then, (x + 300)/36   = 15 ==> x + 300 = 540   ==> x = 240 m.   Answer: 240 m
Answer: B
Hannah has 5 apples and 7 bananas. If she wants to give each of her 9 friends 1 banana and 2 apples, how many more apples and bananas does she need?
Choose the correct choice
A) 2 bananas, 13 apples B) 5 bananas, 13 apples C) 8 bananas, 8 apples D) 13 bananas, 5 apples E) 13 bananas, 2 apples

Solution: 9 friends = 9 bananas. 9 - 7 = 2 bananas needed. 9 friends = 18 apples (2 per friend). 18 - 5 = 13 apples needed. Hence, answer : 2 bananas, 13 apples
Answer: A
What quantity of water should be added to reduce 5 litres of 45% acidic liquid to 25% acidic liquid? Choose the correct choice from the following answers:	A) 3litres	B) 2litres	C) 4litres	D) 4.5litres	E) 5litres

Solution: Quantity of acid in 5litres =45*5/100= 
45*5/100 = 9/4 = around 2.25
2.25litres   Let X litres of water is added to the solution, then there is 2.25litres of acid in (5+ X ) Litres of liquid.   25% of ( 5 + X )= 2.25, 25/100* ( 5 + X ) = 2.25   X = 225-125/25 = 4   ANSWER:4.5litres
Answer: D
45 men working 8 hours per day dig 40 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?  Choose the correct answer:
A) 10 B) 20 C) 30 D) 40 E) 50

Solution: (45 * 8)/40 = (x * 6)/50 => x =75   75 – 45 =30   ANSWER:30
Answer: C
If a(a + 7) = 18 and b(b + 7) = 18, where a ≠ b, then a + b = Choose the correct option: A) −48 B) −2 C) −7 D) 46 E) 48

Solution: a(a + 7) = 18   => we have a = 2 or -9   also b(b + 7) = 18   => b = 2 or -9   given a ≠ b   1) when a =2, b= -9 and a + b = -7   1) when a = -9, b= 2 and a + b = -7   Answer choice −7
Answer: C
A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be:  Choose the correct choice from the following answers.
A) 22  B) 24  C) 26  D) 28  E) 30

Solution: Let the number of hens be x and the number of cows be y.   Then, x + y = 48 .... (i)   and 2x + 4y = 140   x + 2y = 70 .... (ii)   Solving (i) and (ii) we get: x = 26, y = 22.   The required answer = 26.   Answer is 26.
Answer: C
In the xy-coordinate system, if (m, n) and (m + 2, n + k) are two points on the line with the equation x = 2y + 5, then k =	Pick one:
A) 1/2  B) 1  C) 2  D) 5/2  E) 4

Solution: The equation of the line can be re written as y = (1/2)x - 5/2.   Slope = 1/2, which means for every 1 unit increase in the y co-ordinate, x will increase by 2 units.   Hence k = 1.   ANSWER:1
Answer: B
In a group of students, 65 play foot ball, 45 play hockey, 42 play cricket, 20 play foot ball and hockey, 25 play foot ball and cricket, 15 play hockey and cricket and 8 play all the three games. Find the number of students in the group. Select the correct option.
A) 100	B) 65	C) 75	D) 86	E) 98

Solution: Let ,F Hand C represent the set of students who play foot ball, hockey and cricket respectively.   F= 65, H=45, C=42   F and H= 20   F and C=25   H and C=15   F, H and C=8   100ll= 65+45+42-20-25-15+8= 
65+45+42-20-25-15+8 = 100
100   100NSWER 100
Answer: A
Mr. Tom invested in Fund X and Fund Y. The total amount she invested, in both funds combined, was $100,000. In one year, Fund X paid 23% and Fund Y paid 17%. The interest earned in Fund Y was exactly $200 greater than the interest earned in Fund X. How much did Ms. Tom invest in Fund X? Choose the correct choice from the following answers
A) $32,000 B) $36,000 C) $42,000 D) $44,000 E) $45,000

Solution: X+Y=100,000   0.17Y=0.23A+200   Take away decimals first: 17Y=23X+20,000   Isolate first equation to solve for X (your goal): Y=100,000-Y   Plug in for B:   17(100,000-X)=23X+20,000   1,700,000-17X=23X+20,000   1,680,000=40X   1,680,000/40=X   X=42,000=Answer $42,000hoice $42,000
Answer: C
A 90 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
Choose the correct choice from the following:
A) 220 meter	B) 225 meter	C) 230 meter	D) 410 meter	E) None of these

Solution: Explanation:   As trains are running in opposite directions so their relative speed will get added   So, Relative speed = 120 +80= 
120 +80 = 200
200 kmph= 200*(5/18) = 500/9 m/sec   Let the length of other train is x meter then   x+90 /9=500 /9   =>x+90=500   =>x=410   So the length of the train is 410 meters   Option 410 meter
Answer: D
In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, the dividend is Choose the correct choice from the following choices:
A) 5336	B) 4306	C) 4236	D) 4336	E) None

Solution: Sol.   Divisor = ( 5 × 46 ) = 230.   Also, 10 × Q = 230   ⇒ Q = 23. And, R = 46.   Dividend = (230 × 23 + 46 )   = 5336.   5336nswer 5336
Answer: A
Thirty 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 $50 million from its orange exports, how much money does it generate from its yearly total of exports?  Choose the correct choice from the following: A) $1000m B) $25.5m C) $106.25m D) $127.5m E) $153m

Solution: 30/100*1/6*(total) = 50   1/20*(total) = 50   (total) = 50*20= 
50*20 = 1_000
1000   $1000mnswer: $1000m
Answer: A
What must be added to each term of the ratio 2 : 3, so that it may become equal to 4 : 5?	Choose the correct answer
A) 2 B) 4 C) 6 D) 9 E) 8

Solution: Let the number to be added be x, then (2 + x) : (3 + x) = 4 : 5   ⇒ (2 + x)/(5 + x) = 4/5   5(2 + x) = 4(3 + x)   10 + 5x = 12 + 4x   5x - 4x = 12 - 10= 
12 - 10 = 2
2   2nswer:2
Answer: A
The mean proportional between 4 and 9 is?	Select the correct option:
A) 21
B) 35
C) 44
D) 12
E) 11

Solution: 7/20 * 100= 
7/20 * 100 = 35
35   Answer: 35
Answer: B
Three partners A,B and C invest Rs.18000, Rs.22500 and Rs.27000 respectively in a business. If total profit is Rs.18750 then C's share is (in Rs.) Choose the correct choice:
A) 10000
B) 6500
C) 5000
D) 7500
E) 8500

Solution: 18000:22500:27000   4:5:6   c share=18750*6/15= 
18750*6/15 = 7_500
7500   ANSWER:7500
Answer: D
A person was asked to state his age in years. His reply was, "Take my age three years hence, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am." What was the age of the person?
Choose the correct choice from the following answers:
A) 18 years
B) 20 years
C) 24 years
D) 32 years
E) 35 years

Solution: Explanation:   Let the present age of the person be x years.   Then, 3(x + 3) - 3(x - 3) = x   3x + 9 - 3x + 9 = x => x = 18   18 yearsNSWER IS 18 years
Answer: A
A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?  Select the correct option
A) 6	B) 8	C) 7	D) 4	E) 2

Solution: 30 --- 3 DS = 10   ? ---- 1   18 ---- 3 US = 6   ? ---- 1 M = ?   M = (10 + 6)/2= 
(10 + 6)/2 = 8
8   Answer: 8
Answer: B
The product of a and b is equal to 12 more than twice the sum of a and b. If b = 10, what is the value of b - a?	Select.
A) 2
B) 5
C) 7
D) 6
E) 35

Solution: ab= 12 + 2(a+b)   10a= 12+2a +20   8a= 32   a=4   b-a= 10-4= 
10-4 = 6
6   6 is the answer
Answer: D
If x^2=x+3, then x^3=? Answers
A) 3x+2	B) 3x-2	C) 4x+3	D) 2x-3	E) 3x+4

Solution: Given X^2 = X+3   X^3 = X*X^2 = x*(X+3)-- Substituted from above.   = X^2 + 3X = X+3+3X = 4X+3.   Hence 4x+3.
Answer: C
A certain galaxy is known to comprise approximately 3 x 10^11 stars. Of every 50 million of these stars, one is larger in mass than our sun. Approximately how many stars in this galaxy are larger than the sun?  Choose one
A) 800 B) 6,000 C) 8,000 D) 12,000 E) 80,000

Solution: Total no. of stars on galaxy = 3 * 10^11   Of every 50 million stars, 1 is larger than sun.   1 million = 10^6 therofore, 50 million = 50 * 10^6   total no. of stars larger than sun = 3 * 10^11 / 50 * 10^6   =30 * 10^3 /5   = 6000   therefore answer is 6,000
Answer: B
Four persons enter the lift of a nine storey building at the ground floor. In how many ways can they get out of lift on any floor other than ground floor
Choose the most appropriate option:
A) 720	B) 1296	C) 1540	D) 4096	E) 5125

Solution: Each person out of 4 has 8 floors (options) to get out of (since no one gets out on the ground floor), hence total ways is 8*8*8*8=8^4=4096.   Answer: 4096.
Answer: D
In a games hour 4 different types of players came to the ground? cricket 11, hockey 15, football 21, softball 15. In these 4 people play both cricket and hockey, 3people play both softball and football. 6 people play both cricket and football. How many people play only cricket?  Choose the correct choice.
A) 11 B) 1 C) 5 D) 3 E) 9

Solution: people play only cricket = total players in cricket- both cricket and football- both cricket and hockey.   people play only cricket = 11-4-6= 
11-4-6 = 1
1   Answer is 1
Answer: B
If x is 11 percent greater than 90, then x =	Pick
A) 99.9  B) 91.0  C) 88.0  D) 70.9  E) 71.2

Solution: 11% of 90 = (90*0.11)= 
(90*0.11) = 9.9
9.9   11% greater than 90= 90 + 9.9= 
90 + 9.9 = 99.9
99.9   99.9nswer is clearly 99.9.
Answer: A
In what time will a train 130 m long cross an electric pole, it its speed be 144 km/hr? Select:
A) 2.5 sec
B) 3.25 sec
C) 5 sec
D) 12.5 sec
E) 6 sec

Solution: Speed = 144 * 5/18= 
144 * 5/18 = 40
40 m/sec   Time taken= 130/40= 
130/40 = 13/4 = around 3.25
3.25 sec.   ANSWER:3.25 sec
Answer: B
Dawson earns $100 a week from his job. His income increased and now makes $110 a week. What is the percent increase?
Pick:
A) 5% B) 10% C) 15% D) 20% E) 25%

Solution: Increase = (10/100)*100 = (1/10)*100= 
(1/10)*100 = 10
10%.   10%
Answer: B
A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?  Choose the correct choice from the following choices
A) 48%
B) 70%
C) 40%
D) 45%
E) 20%

Solution: The total CP = Rs. 16000 + Rs. 6250   = Rs. 22250 and SP   = Rs. 31150   Profit(%)   = (31150 - 22250)/22250 * 100= 
(31150 - 22250)/22250 * 100 = 40
40%   Answer: 40%
Answer: C
A, B, K start from the same place and travel in the same direction at speeds of 30 km/hr, 40 km/hr, 80 km/hr respectively. B starts two hours after A. If B and K overtake A at the same instant, how many hours after A did K start?  Select:
A) 2	B) 3	C) 4	D) 5	E) 6

Solution: In 2 hours, A travels 60 km.   B can catch A at a rate of 10 km/hr, so B catches A 6 hours after B starts.   So A and B both travel a distance of 240 km.   C needs 3 hours to travel 240 km, so C leaves 5 hours after A.   The answer is 5.
Answer: D
The speed of a car is 90 km in the first hour and 75 km in the second hour. What is the average speed of the car? Choose the correct choice from the following answers.
A) 89 kmph  B) 82.5 kmph  C) 75 kmph  D) 65 kmph  E) 77 kmph

Solution: S = (90 + 75)/2= 
(90 + 75)/2 = 165/2 = around 82.5
82.5 kmph   82.5 kmph
Answer: B
A train 330 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Choose the correct answer
A) 5  B) 6  C) 7  D) 18  E) 9

Solution: Speed of train relative to man = 60 + 6= 
60 + 6 = 66
66 km/hr.= 66 * 5/18 = 55/3 m/sec.   Time taken to pass the men = 330 * 3/55= 
330 * 3/55 = 18
18 sec.   Answer: Option 18
Answer: D