MU-NLPC/Calc-aqua_rat huggingface dataset:
If the sum of three consecutive even numbers is 24 more than the average of these numbers, then the largest of these numbers is?  Select:
A) 10	B) 12	C) 14	D) 16	E) 17

Solution: Explanation:   Let the smallest of these number be x. The other two numbers are (x + 2) and (x + 4).   x + (x + 2) + (x + 4) = (X + (X+2) + (x+4)) / 3 + 24   3x + 3*(x + 2) + 3*(x + 4) = x + (x + 2) + (x + 4) + 72   9x + 18 = 3x + 78   6x = 60   x = 10   Therefore, the largest number is 14.   ANSWER 14
Answer: C
Aaron will jog from home at 6 miles per hour and then walk back home by the same route at 12 miles per hour. How many miles from home can Aaron jog so that he spends a total of 3 hours jogging and walking?  Choose the correct option:
A) 12  B) 14  C) 16  D) 15  E) 11

Solution: xyt/(x+y)   x= 6, y=12 t= 3   6*12*3/6+12 = 12   12nswer : 12
Answer: A
How many digits are there to the right of the decimal point in the product of .32546 and 75.21 ?	Pick.
A) 7	B) 6	C) 8	D) 2	E) 9

Solution: Product of is .32546 and 75.21 is 24.4778466.   Therefore number of digits to right of decimal point is 7   7nswer is 7.
Answer: A
Paul is going with 5 friends on a trip to Rome for spring break. Airfare and hotel costs a total of $3600.00 for the group of 6 friends. How much does each person have to pay for their hotel and airfare?	Select the correct option:
A) $400  B) $500  C) $600  D) $660  E) $680

Solution: Answer= $600   The total cost of the trip ($3600.00) divided by 6 equals $600.00.
Answer: C
The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 5 years hence?  Options:	A) 58	B) 59	C) 62	D) 70	E) 74

Solution: Explanation:   A + B = 60, A = 2B   2B + B = 60 => B = 20 then A = 40.   5 years, their ages will be 45 and 25.   Sum of their ages = 45 + 25= 
45 + 25 = 70
70.   70)
Answer: D
A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?
Choose the correct choice from the following options
A) 12.2	B) 12.9	C) 12.6	D) 12.5	E) 12.3

Solution: Let the speed of the man in still water be a kmph and let the speed of the stream be b kmph.   Now 30/(a + b) + 20/(a - b) = 4 and 45/(a + b) + 40/(a - b) = 7   Solving the equation, the speed of man in still water is 12.5 kmph.   Answer: 12.5
Answer: D
In a sequence of 40 numbers, each term, except for the first one, is 7 less than the previous term. If the greatest term in the sequence is 279, what is the smallest term in the sequence?  Choose the most appropriate option:
A) 2
B) -2
C) 0
D) 8
E) 6

Solution: Which term is the greatest? The first or the last? It is given to you that every term is 7 less than the previous term. Hence as you go on, your terms keep becoming smaller and smaller. The first term is the greatest term.   An = 279 + (40 - 1)*(-7)   An = 279 - 273= 
279 - 273 = 6
6   6
Answer: E
If the sum of three consecutive even numbers is 30 more than the average of these numbers, then the largest of these numbers is? Choose the correct choice.
A) 20 B) 19 C) 18 D) 17 E) 16

Solution: Explanation:   Let the smallest of these number be x. The other two numbers are (x + 2) and (x + 4).   x + (x + 2) + (x + 4) = (X + (X+2) + (x+4)) / 3 + 30   3x + 3*(x + 2) + 3*(x + 4) = x + (x + 2) + (x + 4) + 90   9x + 18 = 3x + 96   6x = 78   x = 13   Therefore, the largest number is 17.   ANSWER 17
Answer: D
If a coin is tossed three times, what is the probability that on the first toss the coin lands tails, on the second toss the coin lands tails, and on the third toss the coin lands heads. Select the correct option.
A) 1/2
B) 1/8
C) 1/6
D) 1/4
E) 3/8

Solution: Since there are two options for how a coin can land (heads or tails), that means there is a 1/2 chance to land on tails and a 1/2 chance to land heads. To solve this problem you multiply each probability for each flip together. (1/2) chance to land tails the first time * (1/2) chance to land tails the second time * (1/2) chance to land heads the third time = (1/8) chance to land tails the first two times and heads the third time.   Answer: 1/8
Answer: B
Source: Knewton
A cyclist's speed varies, depending on the terrain, between 6.0 miles per hour and 14.0 miles per hour, inclusive. What is the maximum distance, in miles, that the cyclist could travel in 6 hours? Choose the correct choice from the following choices:	A) 42	B) 56	C) 84	D) 98	E) 140

Solution: We are told that:generallya cyclist's speed varies, depending on the terrain, between 6.0 miles per hour and 14.0 miles per hour, inclusive. Is it possible the cyclist to travel with maximum speed for some time? Why not, if there is right terrain for that. So, if there is long enough terrain for the maximum speed of 14 mph then the maximum distance, in miles, that the cyclist could travel in 6 hours would be 6*14=98 miles.   Answer: 84.
Answer: C
If a dozen of oranges cost $5, what would be the cost of 10 oranges?  Options
A) 3.56	B) 4.16	C) 4.86	D) 5.1	E) 5.2

Solution: The cost of one orange=5/12=0.416   The cost of ten oranges= 0.416x10= $ 4.16   Answer: 4.16
Answer: B
If the President and Vice President must sit next to each other in a row with 2 other members of the Board, how many different seating arrangements are possible?  Answers:
A) 10
B) 16
C) 18
D) 12
E) 18

Solution: We need to take President and VP as one unit. Therefore we have 3 people to arrange=3! ways   Also, we both President and VP can be arranged in 2 ! ways.   Reqd no of ways=3!*2!=12 ways   Answer 12
Answer: D
On a certain farm the ratio of horses to cows is 3:1. If the farm were to sell 15 horses and buy 15 cows, the ratio of horses to cows would then be 5:3. After the transaction, how many more horses than cows would the farm own?
Choose the correct choice from the following options:
A) 20 B) 30 C) 40 D) 50 E) 60

Solution: Originally, there were 3k horses and k cows.   3(3k-15) = 5(k+15)   9k-5k = 75+45   4k = 120   k = 30   The difference between horses and cows is (3k-15)-(k+15) = 2k-30 = 30   The answer is 30.
Answer: B
If 12 men or 20 women can do a piece of work in 54 days, then in how many days can 9 men and 39 women together do the work? Pick one.
A) 10 days	B) 30 days	C) 20 days	D) 80 days	E) 40 days

Solution: C   20 days   Given that 12m = 20w => 3m = 5w   9 men + 39 women = 15 women + 39 women = 54 women   20 women can do the work in 54 days. So, 54 women can do it in   (20 * 54) /54= 
  (20 * 54) /54 = 20
20 days.
Answer: C
A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?	Choose the correct choice from the following answers
A) 73  B) 20  C) 83  D) 21  E) 52

Solution: Explanation:   1: 2/5 = 5: 2   2/7 * 70= 
2/7 * 70 = 20
20   Answer: Option 20
Answer: B
A tap can fill a tank in 12 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely?
Choices.
A) 13 hrs 30 mins  B) 14 hrs 30 mins  C) 15 hrs 30 mins  D) 16 hrs 30 mins  E) 17 hrs 30 mins

Solution: Time taken by one tap to fill the tank = 6 hrs.   Part filled by the taps in 1 hour = 4 * 1/12 = 1/3   Remaining part = 1 - 1/2 = 1/2   1/3 : 1/2 :: 1 : x   x = 1/2 * 1 * 3= 
1/2 * 1 * 3 = 3/2 = around 1.5
1.5 hrs= 1 hrs 30 min   So, total time taken = 13 hrs 30 mins   13 hrs 30 minsNSWER: 13 hrs 30 mins
Answer: A
The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?  Pick one
A) 18 seconds  B) 27 seconds  C) 26 seconds  D) 12 seconds  E) 16 seconds

Solution: Speed of the boat downstream = 15 + 3= 
15 + 3 = 18
18 kmph= 18 * 5/18= 
18 * 5/18 = 5
5 m/s   Hence time taken to cover 60 m= 60/5= 
60/5 = 12
12 seconds.   Answer:12 seconds
Answer: D
The average age of three boys is 24 years and their ages are in proportion 2:4:8. What is the age in years of the youngest boy?	Choose the correct choice from the following options
A) 16  B) 9  C) 18  D) 12  E) 14

Solution: 2x + 4x + 6x = 72   x =6   2x = 12   Answer: 12
Answer: D
What ratio must a shopkeepermix Peas and Soybean of Rs.16 and Rs. 25/kg, As to obtain a mixture of Rs.19.50 ?
Select
A) 10 : 7  B) 9 : 8  C) 11 : 7  D) 13 : 11  E) 14 : 8

Solution: 11 : 7orrect option: (11 : 7)   Use rule of alligation, to determine the ratio   The required ratio of Soybean and Peas = 5.50 : 3.50 = 11 : 7
Answer: C
Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?	Options
A) 12:15:15	B) 12:15:16	C) 12:15:19	D) 12:45:15	E) 12:15:11

Solution: Aman : Rakhi : Sagar = (70000 * 36) : (105000 * 30) : (140000 * 24)   = 12:15:16   Answer: 12:15:16
Answer: B
A man on tour travels first 160km at 64km/hr and the next 160km at 80km/hr. The average speed for the first 320km of the tour is?  Choose the correct choice from the following:  A) 56.45km/hr  B) 71.11km/hr  C) 68.78km/hr  D) 75.63km/hr  E) 66.56km/hr

Solution: Total time taken = 160/64 + 160/8 = 9/2 hrs   Average speed = 320*2/9 = 71.11km/hr   Answer is 71.11km/hr
Answer: B
Kramer can pack X boxes of cigarettes per minute. If there are Y boxes of cigarettes in one case, how many cases can Kramer pack in 5 hours? Choose the correct option:
A) 60X/Y. B) 300X/Y. C) 60Y/X. D) 120Y/X. E) (X + Y)/60.

Solution: Kramer can pack X boxes per min.   Therefore in 5 hrs(300mins)he can pack 300X boxes.   If there are Y boxes in one case then then the total number of cases packed by Kramer = 300X/Y   (ANSWER 300X/Y.)
Answer: B
The volumes of two cones are in the ratio 1 : 35 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?	Choose the correct choice from the following answers:  A) 7:5  B) 2:9  C) 7:2  D) 2:2  E) 2:8

Solution: The volume of the cone = (1/3)πr2h   Only radius (r) and height (h) are varying.   Hence, (1/3)π may be ignored.   V1/V2 = r12h1/r22h2 => 1/35 = (1)2h1/(2)2h2   => h1/h2 = 7/5   i.e. h1 : h2 = 7:5   7:5nswer: 7:5
Answer: A
A box has exactly 100 balls, and each ball is either red, blue, or white. If the box has 20 more blue balls than white balls, and thrice as many red balls as blue balls, how many white balls does The box has ?	Choose the correct answer
A) 4  B) 10  C) 12  D) 14  E) 16

Solution: x = the number of red balls   y = the number of blue balls   z = the number of white balls   From the first sentence we have   Equation #1: x + y + z = 100   ...the box has 20 more blue balls than white balls...   Equation #2: y = 20 + z   ...thrice as many red balls as blue balls...   Equation #3: x = 3y   Solve equation #2 for z: z = y - 20   Now, we can replace both x and z with y in Equation #1   3y + y + (y - 20) = 100   5y - 20 = 100   5y = 120   y = 24   There are 24 blue balls. This is 20 more than the number of white balls, so z = 4. That's the answer. Just as a check, x = 72, and   72 + 24 + 4= 
  72 + 24 + 4 = 100
100.   4nswer= 4,(4)
Answer: A
How many four-digit numbers that do not contain the digits 3 or 6 are there? Choose the correct choice from the following options:  A) 2401  B) 3584  C) 4096  D) 5040  E) 7200

Solution: 1st Digit can be filled up by the numbers - { 1 , 2 , 4 , 5 , 7 , 8 , 9 } = 7 ways   2nd Digit can be filled up by the numbers - { 0, 1 , 2 , 4 , 5 , 7 , 8 , 9 } = 8 ways   3rd Digit can be filled up by the numbers - { 0, 1 , 2 , 4 , 5 , 7 , 8 , 9 } = 8 ways   So, total No of ways is 7 * 8 * 8 => 3584   Hence answer will be (3584)
Answer: B
The H.C.F. of two numbers is 60 and the other two factors of their L.C.M. are 11 and 15. The larger of the two numbers is: Choices:
A) 276
B) 300
C) 500
D) 700
E) 900

Solution: the numbers are (60 x 11) and (60 x 15).   Larger number = (60 x 15) = 900.   ANSW900R :900
Answer: E
If 8/ |x| <0, which of the following must be true? Choose the correct choice from the following.
A) x>8
B) x<8
C) x=8
D) x=4
E) x=0

Solution: if x<8   then x=6, 8/6>0   if x=8   then   8/8= 
  8/8 = 1
1   if ifx > 8   for example   x=9 then 8/9<0   x>8NSWER x>8 x>8
Answer: A
A certain elevator has a safe weight limit of 2,500 pounds. What is the greatest possible number of people who can safely ride on the elevator at one time with the average (arithmetic mean) weight of half the riders being 150 pounds and the average weight of the others being 160 pounds?
Choose the correct choice from the following answers:
A) 7	B) 8	C) 9	D) 10	E) 16

Solution: Lets assume there are 2X people.   Half of them have average weight of 150 and other half has 160.   Maximum Weight is = 2500   So 150*X + 160*X = 2500   => 310X = 2500   => X is approximately equal to 8.   So total people is  2*8= 
 2*8 = 16
16   Answer 16.
Answer: E
The least common multiple of positive integer e and 3-digit integer n is 690. If n is not divisible by 3 and e is not divisible by 2, what is the value of n?
Choose the correct option
A) 115
B) 230
C) 460
D) 575
E) 690

Solution: The LCM of n and e is 690 = 2*3*5*23.   e is not divisible by 2, thus 2 goes to n   n is not divisible by 3, thus 3 goes to e.   From above:   n must be divisible by 2 and not divisible by 3: n = 2*... In order n to be a 3-digit number it must take all other primes too: n = 2*5*23= 
2*5*23 = 230
230.   Answer: 230.
Answer: B
Average of five numbers is 20, and the sum of three of the numbers is 48, what is the average of the other 2 numbers?  Pick
A) 24	B) 34	C) 29	D) 35	E) 26

Solution: Let the five numbers be a, b, c, d, e. Then their average is (a+b+c+d+e)/5=20a+b+c=48(48+d+e)/5=2048+d+e=100d+e=52average=52/2= 
52/2 = 26
26Ans 26
Answer: E
If x = 1 + √2, then what is the value of x4 - 4x3 + 4x2 + 4?  Choose the most appropriate option
A) -1  B) 0  C) 5  D) 2  E) 3

Solution: Answer   x = 1 + √2   ∴ x4 - 4x3 + 4x2 + 5 = x2(x2 - 4x + 4) + 4   = x2(x - 2)2 + 4   = (1 + √2)2(1 + √2 - 2)2 + 4   =(√2 + 1)2 (√2 - 1)2 + 4   =[(√2)2 - (1)2]2 + 4   =(2 - 1)2 =1 + 4= 
1 + 4 = 5
5   5orrect Option: 5
Answer: C
In a camp, there is a meal for 140 men or 240 children. If 180 children have taken the meal, how many men will be catered to with remaining meal?  Choose the most appropriate option:
A) 20
B) 35
C) 50
D) 10
E) 40

Solution: There is a meal for 240 children. 180 children have taken the meal.   Remaining meal is to be catered to 60 children.   Now, 240 children 140 men.   60 children (140/240)	* 60 = 35 men   Answer is 35. (140/240) * 60= 
 (140/240) * 60 = 35
35 men   Answer is 35.
Answer: B
Point X is located on line segment AB and point Y is located on line segment CD. If AB = CD and AX < CY, then	Choose the correct answer.
A) XB > YD
B) XB < YD
C) AX > XB
D) CY < YD
E) AX > AB

Solution: A--X------B   C------Y--D   XB > YD.   XB > YDnswer: XB > YD.
Answer: A
Lamp A flashes every 6 seconds, Lamp B flashes every 8 seconds, Lamp C flashes every 10 seconds. At a certain instant of time all three lamps flash simultaneously. During the period of 5 minutes after that how many times will exactly two lamps flash? (Please include any flash of exactly two lights which occurs at the 5 minute mark.)	Choose the most appropriate option:  A) 21  B) 22  C) 23  D) 24  E) 25

Solution: 5 minutes is 300 seconds.   Lamp A and Lamp B will flash together every 24 seconds.   300/24=12 plus remainder.   In the time period, Lamp A and Lamp B will flash together 12 times.   Lamp A and Lamp C will flash together every 30 seconds.   300/30= 
300/30 = 10
10.   In the time period, Lamp A and Lamp C will flash together 10 times.   Lamp B and Lamp C will flash together every 40 seconds.   300/40=7 plus remainder.   In the time period, Lamp B and Lamp C will flash together 7 times.   All three lights will flash together every  2*2*2*3*5= 
 2*2*2*3*5 = 120
120 seconds.   300/120=2 plus remainder.   We have counted these triple flashes three times, so we need to subtract three times the number of times that all three lights flash together.   The number of times that exactly two lights flash together is   12+10+7-6= 
  12+10+7-6 = 23
23 times.   The answer is 23.
Answer: C
If p#q denotes the least common multiple of p and q, then W=((12#16)#(18#24)) = ?	Choose the correct choice from the following:
A) 216 B) 180 C) 144 D) 108 E) 72

Solution: There are several ways to find the Least Common Multiple of two numbers. In this case, the most efficient method is to use the Greatest Common Factor: (A * B) / (GCF AB) = LCM AB   The greatest common factor of 12 and 16 is 4. So, 12#16 = 12*16/4= 
12*16/4 = 48
48.   The greatest common factor of 18 and 24 is 6. So, 18#24= 18*24/6= 
18*24/6 = 72
72   Finally, the greatest common factor of 48 and 72 is 24. So, W=((12#16)#(18#24)) = 48#72 = (48*72)/24 = 2*72= 
2*72 = 144
144   The correct answer is 144.
Answer: C
A student committee on academic integrity has 42 ways to select a president and vice president from a group of candidates. The same person cannot be both president and vice president. How many candidates are there? Choose the correct choice from the following:  A) 7  B) 8  C) 9  D) 10  E) 11

Solution: xC1 * (x-1)C1=42   x^2 -x -42 =0   (X-7 (X+6) = 0   X= 7 , -6   -6 can't possible.   Hence 7 should be the answer   7
Answer: A
0.35 represents what percent of 70?	Select
A) 0.05%  B) 0.5%  C) 5%  D) 500%  E) 5000%

Solution: One more method   0.35 represents what percent of 70?   Divide by 70   0.005 represents what percent of 1?   Answer = 0.005*100= 
0.005*100 = 0.5
0.5%= 0.5%
Answer: B
How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length Select the correct option.
A) 12.9 sec
B) 12.1 sec
C) 13.9 sec
D) 29.9 sec
E) 14.9 sec

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec   Total distance covered= 110 + 132= 
110 + 132 = 242
242 m.   Required time= 242/20= 
242/20 = 121/10 = around 12.1
12.1 sec.   Answer:12.1 sec
Answer: B
At what time between 3 and 4 o’clock, the hands of a clock coincide?	Choose the correct choice from the following: A) 16 4⁄11 minutes past 3 B) 15 5⁄61 minutes past 3 C) 15 5⁄60 minutes to 2 D) 16 4⁄11 minutes to 4 E) None of these

Solution: Since, in one hour, two hands of a clock coincide only once, so, there will be value.   Required time T = 2⁄11(H × 30 + A°) minutes past H.   Here H = initial position of hour hand = 3(Since 3 o’clock)   16 4⁄11 minutes past 3° = required angle = 0°(Since it coincides)   T = 2⁄11(3 × 30 + 0) minutes past 3   = 164⁄11 minutes past 3   16 4⁄11 minutes past 3nswer 16 4⁄11 minutes past 3
Answer: A
For which of the following functions is f(q+b)=f(q)+f(b) for all positive numbers q and b? Choose the correct option.
A) a) f(x)=x^2  B) b) f(x)=x+1  C) c) f(x)=root x  D) d) f(x)=2/x  E) e) f(x)= -3x

Solution: f(q+b)=f(q)+f(b) Its e) f(x)= -3x
Answer: E
An even and an odd integer are multiplied together. Which of the following numbers could not be the square of their product?
Select:
A) 484 B) 676 C) 729 D) 900 E) 1600

Solution: 729 = 3^6 so it can not be the square of an even number multiplied by an odd number.   The answer is 729.
Answer: C
The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?	Choose the correct choice:  A) 18/35  B) 29/98  C) 18/37  D) 18/29  E) 18/29

Solution: If both agree stating the same fact, either both of them speak truth of both speak false.   Probability = 3/5 * 4/7 + 2/5 * 3/7   = 12/35 + 6/35   = 18/35   18/35nswer:18/35
Answer: A
The annual birth and death rate in a country per 1000 are 39.4 and 19.4 respectively . the number of years B in which the population would be doubled assuming there is no emigration or immigration is Choose one:	A) 20	B) 25	C) B=30	D) B=35	E) B=40

Solution: Suppose the population of the country in current year is 1000.   So annual increase is  1000 + 39.4 - 19.4= 
 1000 + 39.4 - 19.4 = 1_020
1020   Hence every year there is an increase of 2%.   2000=1000(1+(2/100))^n   n=35 Answer is B=35.
Answer: D
A certain drive-in movie theater has total of 12 rows of parking spaces. There are 10 parking spaces in the first row and 11 parking spaces each in the next two rows. In each subsequent row there are 2 more parking spaces than in the previous row. What is the total number of parking spaces in the movie theater?	Pick one
A) 219
B) 221
C) 321
D) 192
E) 202

Solution: First row 10, Second row 11 and then other 10 rows form an Arithmetic Progression with first term 11 and last term 29 and Avg is 20.   so 20*10+10+11= 
20*10+10+11 = 221
221   Answer is 221
Answer: B
When a certain shoe store reduces the price of its best-selling style of shoe by 20 percent, the weekly sales of this style increase by 20 percent. Which of the following best describes the resulting change in the store's weekly revenue from sales of this style of shoe?	Choose the correct choice.
A) Revenue decreases by 4%  B) Revenue decreases by 1%  C) There is no change in revenue  D) Revenue increases by 1%  E) Revenue increases by 10%

Solution: Old price = 10, old sales = 10 --> old revenue = 100;   New price = 8, new sales = 12 --> new revenue = 96.   Revenue decreased by 4%.   Revenue decreases by 4%nswer: Revenue decreases by 4%.
Answer: A
What amount does Kiran get if he invests Rs.8000 at 10% p.a. compound interest for two years, compounding done annually? Choose the correct choice from the following answers: A) 9688 B) 9687 C) 9685 D) 9682 E) 9680

Solution: A= P{1 + R/100}n   => 8000{1 + 10/100}2 = Rs.9680   Answer:9680
Answer: E
A boy swims downstream 56 km and upstream 42 km taking 7 hours each time; what is the speed of the current? Pick
A) 5	B) 4	C) 3	D) 2	E) 1

Solution: 56 --- 7 DS = 8   ? ---- 1   42 ---- 7 US = 6   ? ---- 1 S = ?   S = (8 - 6)/2= 
(8 - 6)/2 = 1
1   Answer:1
Answer: E
Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Four years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?	Choose the correct option.
A) Can't be determined	B) 40	C) 27	D) 32	E) None of these

Solution: Explanation:   Let the present ages of Sameer and Anand be 5x years and 4x years respectively.   Then, (5x+4)/(4x+4)=11/9   ⇒ 45x + 36 = 44x + 44⇒ 9(5x +4 ) = 11(4x + 4)   ⇒ 45x - 44x = 44 - 36= 
44 - 36 = 8
8.   Anand's present age= 4x = 32 years.   Answer: 32
Answer: D
A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.5 per sq m?
Choose the correct choice from the following options: A) 675, Rs.3375 B) 575, Rs.1350 C) 1350, Rs.675 D) 1450, Rs.775 E) 1550, Rs.875

Solution: 675, Rs.3375rea = (l + b +2d) 2d   = (75 + 55 +2.5 * 2) 2*2.5 => 675   675 * 5 = Rs.3375   675, Rs.3375NSWER:675, Rs.3375
Answer: A
In an exam, Amar scored 84 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 800. Find the average mark scored by all the three boys?
Choose the correct answer
A) 437.33
B) 457.33
C) 537.33
D) 637.33
E) 497.33

Solution: 437.33verage mark scored by all the three boys =   [84/100 (800) + 36/100 (800) + 44/100 (800)] / 3 = 437.33   437.33NSWER:437.33
Answer: A
Sujal covers a distance in 40 min , if she drives at a speed of 60 km/h on an average. Find the speed at which she must drive at to reduce the time of the journey by 25%.
Choose the most appropriate option.
A) 60 km/h  B) 70 km/h  C) 75 km/h  D) 80 km/h  E) 85 km/h

Solution: Given Speed = 60 Kmph.   It means Sujal covered 60 km in 60 min (1 hour). So, in 40 min he will cover 40 km.   25% time reduced = 40 - 25% of 40 = 30 min.   Thus, Sujal needs to cover 40 km in 30 min (0.5 hour).   Speed * Time = Distance.   Speed * 0.5 = 40   Speed = 80 kmph.   ANSWER : OPTION 80 km/h
Answer: D
There are 800 military people in a division of the army. There is one Officer for every 15 soldiers in that division. Now the question is how many officers are in the division?
Choose the correct option: A) 22 B) 32 C) 37 D) 73 E) 75

Solution: B   32   24 soldiers + 1 officer makes a group of 25 people. Now number of such groups = 800/25= 
800/25 = 32
32.
Answer: B