MU-NLPC/Calc-aqua_rat huggingface dataset:
The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:4. The marks obtained by Vijay and Abhishek are in the ratio of?
Choose the correct answer:  A) 3:4  B) 3:5  C) 6:5  D) 3:6  E) 3:8

Solution: 4:5   3:4   -------   12:15:20   12:20 ------>6:10   3:5   Answer: 3:5
Answer: B
If a box containing 16 glass frames are dropped, which of the following cannot be the ratio of broken glass frames to unbroken glass frames? Choose the most appropriate option:
A) 7 : 2 B) 1 : 1 C) 3 : 5 D) 1 : 7 E) 1 : 5

Solution: Explanation :   Solution: For dividing 16 into two whole numbers, the sum of the ratio terms must be a factor of 16.   So, they cannot be in the ratio 7 : 2.   7 : 2nswer : 7 : 2
Answer: A
Two friends P & Q started a business investing amounts in the ratio of 5 : 6. R joined them after six months investing an amount equal to that of Qâ€™s amount. At the end of the year 35% profit was earned which was equal to 98,000. What was the amount invested by R? Choose the correct choice from the following options.
A) 2,10,000  B) 1,05,000  C) 1,75,000  D) Data inadequate  E) 60,000

Solution: Ratio for amount invested by P, Q & R   = 5x Ã— 12 : 6x Ã— 12 : 6x Ã— 6   = 60x : 72x : 36x   = 5x : 6x : 3x   Profit = 98000 = 35% of T   where, T = Total amount   T = 280000   Amount received by   R = 3x /3x+6x+5x(280000)   = 60000   Answer 60,000
Answer: E
A man rides at the rate of 20km/hr. But stops 10minutes to change horses at the end of every 25th kilometer. How long will he take to go a distance of 175 kilometers?
Choose the correct choice from the following.
A) 9hr  B) 8 hr 30 min  C) 9hr 45min  D) 6hr 20min  E) 8hr 40min

Solution: speed of man = 20km/hr   number of rests = (175/25)-1= 
(175/25)-1 = 6
6   time taken for the man= (175/20)+6*(10/60) = 9 hr 45 min   Answer is 9hr 45min
Answer: C
A train 360 metre long runs with a speed of 45 km/hr. What time will it take to pass a platform of 140 metre long?  Pick one: A) 30 B) 35 C) 40 D) 45 E) 50

Solution: Speed =45 km/hr=45×5/18=25/2 m/s Distance travelled = (Speed x Time)   Time = (Distance travelled / Speed)   Distance travelled = Length of the train + Length of the platform   =360+140= 
360+140 = 500
500 m= 500/ 25/2 = 40 sec   Answer: 40
Answer: C
Twice the larger of two numbers is three more than five times the smaller, and the sum of four times the larger and three times the smaller is 71. What are the numbers? Choices
A) 21, 12 B) 9, 0 C) 15, 6 D) 10, 1 E) 14, 5

Solution: the larger number: x   the smaller number: y   twice the larger: 2x   three more than five times the smaller: 5y + 3   relationship between ("is"): 2x = 5y + 3   four times the larger: 4x   three times the smaller: 3y   relationship between ("sum of"): 4x + 3y = 71   Now I have two equations in two variables:   2x = 5y + 3   4x + 3y = 71   I will solve, say, the first equation for x:   x = (5/2)y + (3/2)   Then I'll plug the right-hand side of this into the second equation in place of the "x":   4[ (5/2)y + (3/2) ] + 3y = 71   10y + 6 + 3y = 71   13y + 6 = 71   13y = 65   y = 65/13= 
65/13 = 5
5   Now that I have the value for y, I can solve for x:   x= (5/2)y + (3/2)   x = (5/2)(5) + (3/2)   x = (25/2) + (3/2)   x = 28/2= 
28/2 = 14
14   Answer: 14, 5
Answer: E
If 24 men take 15 days to to complete a job, in how many days can 18 men finish that work?	Pick
A) 20
B) 19
C) 18
D) 17
E) 16

Solution: Ans. 20 days
Answer: A
Whats the reminder when 445,876,985,420,215,546,656,452 is divided by 8  Select the correct option:	A) 1	B) 7.	C) 4	D) 3	E) 9

Solution: A number ending in a 0 is divisible by 2. A number ending in 2 zeroes is divisible by 4. A number ending in 3 zeroes is divisible by 8.   Given the obscene number, you should immediately be convinced that you will need to focus on a very small part of it.   445,876,985,420,215,546,656,452 =445,876,985,420,215,546,656,000+452   The first number is divisible by 8. You just have to find the remainder when you divide 452 by 8. That will be the remainder when you divide the original number by 8.   452/8 gives remainder 4.   Answer (4)
Answer: C
A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?  Choose the correct choice from the following
A) 4 B) 4/3 C) 4/5 D) 4/9 E) 4/7

Solution: Let number of balls = (6 + 8)= 
(6 + 8) = 14
14.   Number of white balls= 8.   P (drawing a white ball) = 8/14 = 4/7   Hence Answer is 4/7
Answer: E
Each signal that a certain ship can make is comprised of 3 different flags hanging vertically in a particular order. How many unique signals can be made by using 4 different flags?	Select the correct option.
A) 10 B) 12 C) 20 D) 24 E) 36

Solution: Consider a flagpole with 3 vertical slots for flags   As we have to select different flags we can do as follows   topmost flag can be paced in 4 ways   middle flag can be placed in 3 ways   bottom most flag can be placed in 2 ways   (order doesn't matter the selection matters)   Total ways = 4 * 3 * 2= 
4 * 3 * 2 = 24
24 ways   correct answer - 24
Answer: D
A is 3 years older to B and 3 years younger to C, while B and D are twins. How many years older is C to D?	Choose the correct choice from the following options:	A) 7	B) 4	C) 6	D) 3	E) 2

Solution: Since B and D are twins, so B = D.   Now, A = B + 3 and A = C - 3.   Thus, B + 3 = C - 3 D + 3 = C-3 C - D = 6.   Answer: 6
Answer: C
The total marks obtained by a student in Mathematics and Physics is 60 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together?  Choices:  A) 40  B) 98  C) 27  D) 29  E) 22

Solution: Let the marks obtained by the student in Mathematics, Physics and Chemistry be M, P and C respectively.   Given , M + C = 60 and C - P = 20 M + C / 2 = [(M + P) + (C - P)] / 2   = (60 + 20) / 2= 
(60 + 20) / 2 = 40
40.   40nswer:40
Answer: A
In 1995 a certain store had 1,800 tools in stock that had been purchased for $20 each. If 1,000 of these tools were sold in 1995 for $40 each and the remaining 800 were sold in 1996 for $50 each, how many greater was the gross profit on the tools sold in 1996 than the gross profit on those sold in 1995?
Choose the correct choice from the following answers
A) $0  B) $6,000  C) $8,000  D) $32,000  E) $40,000

Solution: The keyword here isGross Profit:   Gross Profit = (Selling Price - Original Price)*(# of Items Sold)   So lets figure out what the Gross Profit for 1995:   GP1995 = (40-20)*(1000)= 
(40-20)*(1000) = 20_000
20000   And the Gross Profit for 1996:   GP1996= (50-20)*(800)= 
(50-20)*(800) = 24_000
24000   So the difference would be:   24000-20000= 
24000-20000 = 4_000
4000   ANSWER: B. 4000
Answer: B
Annie and Sam set out together on bicycles traveling at 15 and 12 km per hour respectively. After 40 minutes, Annie stops to fix a flat tire. If it takes Annie 15 minutes to fix the flat tire and Sam continues to ride during this time, how many minutes will it take Annie to catch up with Sam assuming that Annie resumes riding at 15 km per hour?	Pick one:	A) 20	B) 40	C) 60	D) 80	E) 100

Solution: Annie gains 3 km per hour (or 1 km every 20 minutes) on Sam.   After 40 minutes Annie is 2 km ahead.   In the next 15 minutes, Sam rides 3 km so Sam will be 1 km ahead.   It will take Annie 20 minutes to catch Sam.   The answer is 20.
Answer: A
Rajan got married 8 years ago. His present age is 6/5 times his age at the time of his marriage. Rajan's sister was 10 years younger to him at the time of his marriage. The age of Rajan's sister is?
Choose one.
A) 17 years B) 97 years C) 38 years D) 18 years E) 19 years

Solution: Let Rajan's present age be x years.   Then, his age at the time of marriage = (x - 8) years.   x = 6/5 (x - 8)   5x = 6x - 48 => x = 48   Rajan's sister's age at the time of his marriage = (x - 8) - 10 = 30 years.   Rajan's sister's present age = (30 + 8)= 
(30 + 8) = 38
38 years.   Answer: 38 years
Answer: C
In My, Xiang sold 15 used cars. For these 15 used cars the range of selling prices was 12,000 and the lowest selling price was 4,500. In June, Xiang sold 10 cars. For these 10 cars the range of selling was 16,000 and the lowest selling price was 6,100. What was the range of selling prices for the 25 used car sold by xiang in May and June? Choose the correct choice from the following.
A) 15,600  B) 15,750  C) 16,820  D) 18,100  E) 19,200

Solution: for 10 cars - 16000+ 6100 = 22,100   for 15 cars - 12000+ 4500 = 19,500   max = 22,100 min 4500   answer is approx 17600.   Option 18,100 is closest.
Answer: D
Find out the wrong term in the series 1, 2, 2, 4, 8, 12	Options
A) 12	B) 24	C) 32	D) 16	E) 36

Solution: Explanation:   Each number with in the series is the product of the two numbers that proceed it.   So, if (2 * 2 = 4) , then (4 * 8= 32 ). 32 should replace 12.   Answer: 32) 32
Answer: C
A and B can do a piece of work in 4 days. With the help of C they finish the work in 3 days. C alone can do that piece of work in? Choices
A) 4 DAYS	B) 21 DAYS	C) 13 DAYS	D) 12 DAYS	E) 3 DAYS

Solution: C = 1/3 – 1/4 = 1/12 => 12 days   Answer:12 DAYS
Answer: D
A baseball card decreased in value 25% in its first year and 10% in its second year. What was the total percent decrease of the card's value over the two years? Pick one.
A) 28%	B) 30%	C) 32.5%	D) 36%	E) 72%

Solution: Let the initial value of baseball card = 100   After first year , value of baseball card = (1- 25/100)* 100= 
(1- 25/100)* 100 = 75
75   After second year , value of baseball card=(1 - 10/100)* 75= 
(1 - 10/100)* 75 = 135/2 = around 67.5
67.5   total percent decrease of the card's value over the two years= (100-67.5)/100 *100%   =31.5%   Answer 32.5%
Answer: C
If a 10 percent deposit that has been paid toward the purchase of a certain product is $160, how much more remains to be paid?
Choices:
A) $880  B) $990  C) $1,000  D) $1,100  E) $1,440

Solution: 10/100P = 160 >> p= 160*100/10= 
160*100/10 = 1_600
1600   1600 - 160= 
1600 - 160 = 1_440
1440   ANSW$1,440R:$1,440
Answer: E
Find the odd man out. 445, 221, 109, 46, 25, 11, 4  Choose the correct choice from the following choices:
A) 25
B) 109
C) 46
D) 221
E) 11

Solution: Explanation :   To obtain next number, subtract 3 from the previous number and divide the result by 2   445   (445-3)/2= 
(445-3)/2 = 221
221   (221-3)/2= 
(221-3)/2 = 109
109   (109-3)/2= 
(109-3)/2 = 53
53   (53-3)/2= 
(53-3)/2 = 25
25   (25-3)/2= 
(25-3)/2 = 11
11   (11-3)/2= 
(11-3)/2 = 4
4   46learly, 53 should have come in place of 46   Answer : Option 46
Answer: C
If 36 men can do a piece of work in 15 hours, in how many hours will 15 men do it?  Pick one:	A) 22	B) 36	C) 60	D) 88	E) 72

Solution: Explanation:   Let the required no of hours be x. Then   Less men , More hours (Indirect Proportion)   \inline \fn_jvn \therefore 15:36 ::15:x \inline \fn_jvn \Leftrightarrow (15 x X)=(36 x 15) \inline \fn_jvn \Leftrightarrow \inline \fn_jvn x=\frac{36\times 15}{15}=36   Hence, 15 men can do it in 36 hours.   Answer: 36) 36
Answer: B
A three digit number divisible by 7 becomes divisible by 3 when 7 is added to it. The largest such number is :
Choices
A) 891	B) 896	C) 882	D) 867	E) 864

Solution: Out of all the 5 options, only 896 is NOT divisible by 3. All others are divisible   So Answer = 896(No further calculation required)   Addition of any two non-divisible numbers by 3 gives the resultant divisible by 3   7 is non-divisible by 3; we are adding a number to that so that the resultant becomes divisible by 3   Applying the above rule,It means that the number which we are going to add should be non-divisible by 3   So comes the answer = 896   Answer : 896
Answer: B
The area of playground is 5400 sq. meters. What will be the cost of covering it with grass sheet 1cm deep, if cost of grass sheet is $2.80 per cubic meter.
Pick
A) a) $144
B) b) $150.50
C) c) $151.2
D) d) $158.60
E) e) $160.70

Solution: total volume * unit cost = total cost   or, 5400 * 0.01 * 2.8 = total cost = 151.2=c) $151.2
Answer: C
A single discount equivalent to the discount series of 20%, 10% and 15% is?
Choose the correct choice:
A) 31.9  B) 31.7  C) 31.6  D) 38.8  E) 31.1

Solution: 100*(80/100)*(90/100)*(85/100)= 
100*(80/100)*(90/100)*(85/100) = 306/5 = around 61.2
61.2   100 - 61.2= 
100 - 61.2 = 38.8
38.8   Answer:38.8
Answer: D
The volumes of two cubes are in the ratio 27: 125, what shall be the ratio of their surface areas? Choose the most appropriate option:
A) 9 : 55 B) 9 : 29 C) 9 : 25 D) 9 : 20 E) 9 : 27

Solution: Explanation:   a13 : a23 = 27 : 125   a1 : a2 = 3 : 5   6 a12 : 6 a22   a12 : a22 = 9 : 25   Answer: Option 9 : 25
Answer: C
A hat company ships its hats, individually wrapped, in 8-inch by 10-inch by 12-inch boxes. Each hat is valued at $5.0. If the company’s latest order required a truck with at least 288,000 cubic inches of storage space in which to ship the hats in their boxes, what was the minimum value of the order?	Choose the correct choice:
A) $960  B) $1,500  C) $1,725  D) $2,050  E) $2,250

Solution: Total Volume is 288000   Given LBH = 8*10*12.   the number of hats inside it = 288000/10 * 8 * 12 = 300.   price of each hat is 5 $ then total value is   300 * 5.0= 
  300 * 5.0 = 1_500
1500.   IMO option $1,500 is correct answer..
Answer: B
Statement: "In order to bring punctuality in our office, we must provide conveyance allowance to our employees." Assumptions: 1)Conveyance allowance will not help in bringing punctuality. 2)Discipline and reward should always go hand in hand.  Choose the correct choice from the following choices
A) Only assumption I is implicit
B) Only assumption II is implicit
C) Either I or II is implicit
D) Neither I nor II is implicit
E) Both I and II are implicit

Solution: Assumption I goes against the statement. So, it is not implicit. The allowance will serve as a reward to the employees and shall provoke them to come on time. So, II is implicit.   Only assumption II is implicit)
Answer: B
The ratio between m and y is 7/9; m and y are increased by 4, what is the ratio between the new values of m and y?
Choose the correct choice from the following:
A) 7/9
B) 14/9
C) 7/18
D) 11/13
E) It Cannot Be Determined

Solution: Ratio = 7k/9k = 7/9, 14/18, etc.   m and y are increased by 4 --> (7k + 4)/(9k + 4)   New ratio can be 11/13, 18/22, etc.   Answer: It Cannot Be Determined
Answer: E
Find the perimeter of a triangle with sides measuring 7 centimeters, 10 centimeters and 15 centimeters. Choose the correct choice from the following answers:
A) 10cm
B) 15cm
C) 32cm
D) 35cm
E) 20cm

Solution: perimeter of triangle=a+b+c   Perimeter = 7 cm + 10 cm + 15 cm = 32 cm   Answer: 32cm.
Answer: C
A train overtakes two persons walking along a railway track. The first one walks at 4.5 km/h. The other one walks at 5.4 km/h. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?  Choose the most appropriate option:  A) 66 km/h  B) 72 km/h  C) 78 km/h  D) 81 km/h  E) None of these

Solution: 4.5 km/h = (4.5 × 5⁄18) m/sec = 1.25 m/sec.   & 5.4 km/h = (5.4 × 5⁄18) m/sec = 1.5 m/sec.   Let the speed of the train be S m/sec.   Then, (S – 1.25) × 8.4 = (S – 1.5) × 8.5   ⇒ 8.4S – 10.5 = 8.5S – 12.75 ⇒ 0.1S = 2.25 ⇒ S = 22.5.   ∴ Speed of the train = (22.5 × 18⁄5) km/h = 81 km/h   Answer 81 km/h
Answer: D
The ratio of 2 numbers is 3:4 and their H.C.F. is 4. Their L.C.M. is ? Select
A) 32  B) 48  C) 60  D) 52  E) 12

Solution: Let the numbers be 3x and 4x   Their H.C.F. = 4   so the numbers are 3*4 , 4*4 = 12,16   L.C.M. = 48   Answer is 48
Answer: B
If c = 9/25, m = 15/32, and m + w + c = 1, which of the following gives the values of m, w, and c in increasing order?  Choose one
A) c, m, w B) c, w, m C) m, w, c D) w, c, m E) w, m, c

Solution: Answer w, c, m - w, c, m   c ~ 1/3   m ~ 1/2   and m+w+c = 1 hence w ~ 1/6   Hence increasing order would be w -> c -> m   Answer w, c, m
Answer: D
Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder  Choose the correct choice from the following answers
A) 1234  B) 1345  C) 1456  D) 1567  E) 1635

Solution: Let the smaller number be x. Then larger number = (x + 1365).   x + 1365 = 6x + 15   5x = 1350   x = 270   Large number = 270+1365= 
270+1365 = 1_635
1635   1635
Answer: E
12. What is the dividend. divisor 17, the quotient is 9 and the remainder is 9.
Pick:
A) 150 B) 162 C) 154 D) 158 E) 144

Solution: D = d * Q + R   D = 17 * 9 + 9   D = 153 + 9= 
153 + 9 = 162
162   ANSWER 162
Answer: B
Jerry travels 8 miles at an average speed of 40 miles per hour, stops for 13 minutes, and then travels another 20 miles at an average speed of 60 miles per hour. What is Jerry’s average speed, in miles per hour, for this trip? Choices:
A) 48  B) 42.5  C) 44  D) 50  E) 52.5

Solution: Total Time taken by jerry = (8/40)*60 Minutes + 13 Minutes + (20/60)*60 Minutes = 35 Minutes   48verage Speed = Total Distance / Total Time = (8+20) miles / (35/60)Hours = 28*60 / 35= 
28*60 / 35 = 48
48 Miles per hour   48nswer: option 48
Answer: A
The ratio of the volumes of two cubes is 1000 : 1331. What is the ratio of their total surface areas? Choose the correct answer:
A) 100 : 121
B) 100 : 127
C) 81 : 191
D) 81 : 161
E) 100 : 182

Solution: Explanation:   Ratio of the sides = ³√1000 : ³√1331 = 10 : 11   Ratio of surface areas = 10^2 : 11^2 = 100 : 121   100 : 121nswer: Option 100 : 121
Answer: A
Ramesh and Naresh had a pre-determined number of baskets, at a ratio of 3:1. Ramesh offered 20 of her baskets to Naresh so that the ratio of number of baskets became 8:3. How many more baskets does Ramesh now have than Naresh?	Answers:
A) 400
B) 350
C) 250
D) 200
E) 180

Solution: Let number of baskets that Ramesh has = R   and number of baskets that Naresh has = N   R/N = 3/1   =>R -3N = 0 --- equation 1   (R-20)/(N+20) = 8/3   =>3R - 60 = 8N+160   =>3R-8N=220 --- equation 2   Multiply equation 1 by 3   3R - 9N = 0   Now , N = 220   R= 660   Number of baskets Ramesh now has more than Naresh = (660-20) - (220+20)= 
(660-20) - (220+20) = 400
400   400nswer 400
Answer: A
D is the set of all the multiples of 4 between 20 and 100. E is the set of all the factors of 270. Set D and Set E have how many numbers in common? Choose the correct choice from the following answers: A) 3 B) 1 C) 0 D) 5 E) 12

Solution: D is a set of multiples of 4.   270 is NOT a multiple of 4, hence none of its factors is a multiple of 4.   Therefore, those two sets won't have any overlap.   Answer: 0
Answer: C
A good train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is:
Choices: A) 600 B) 300 C) 400 D) 500 E) 200

Solution: speed = 78*5/18 m/sec ==>65/3   length of the tunnel be x   then 800+x/60 = 65/3   3(800+x) = 3900   x=500   ANSWER 500
Answer: D
How many kg of pure salt must be added to 100kg of 10% solution of salt and water to increase it to a 12% solution? Answers
A) A)6.7  B) B)2.3  C) C)9.6  D) D)12.5  E) E)7.9

Solution: Amount salt in 100kg solution = 10*100/100= 
10*100/100 = 10
10 kg   Let x kg of pure salt be added   then(10+x)/(100+x)=12/100   250+25x=300+3x   22x = 50   x = 2.3   Answer is 2.3
Answer: B
If 10,364 + x is a multiple of 3, which of the following could be the value of x? Options:
A) 1
B) 2
C) 3
D) 4
E) 6

Solution: Sum of the digits of 10,364 is  1+0+3+6+4= 
 1+0+3+6+4 = 14
14   Now 14 is not a multiple of 3, the next multiple of 3 close to 14 is 15, which is 1 added to 14.   So the least number to be added to 10,364 is 1   1
Answer: A
The sum of first seven prime numbers is?  Choose the correct choice from the following answers: A) 12 B) 23 C) 58 D) 28 E) 30

Solution: Required sum = (2 + 3 + 5 + 7 + 11 + 13 + 17)= 
(2 + 3 + 5 + 7 + 11 + 13 + 17) = 58
58.   Note: 1 is not a prime number.   Definition: A prime number (or a prime) is a natural number that has exactly two distinct natural number divisors: 1 and itself.   58
Answer: C
How many times will the digit 3 be written when listing the integers from 1 to 1000?
Select
A) 100  B) 200  C) 300  D) 400  E) 500

Solution: Many approaches are possible. For example:   Consider numbers from 0 to 999 written as follows:   1. 000   2. 001   3. 002   4. 003   ...   ...   ...   1000. 999   We have 1000 numbers. We used 3 digits per number, hence used total of 3*1000= 
3*1000 = 3_000
3000 digits. Now, why should ANY digit have preferences over another? We used each of 10 digits equal # of times, thus we used each digit (including 3) 3000/10=300 times.   Answer: 300.
Answer: C
The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.	Choose the correct choice from the following choices.
A) 47.55 kg
B) 45.55 kg
C) 48.55 kg
D) 49.55 kg
E) 58.55 kg

Solution: Required average   = 50.25 x 16 + 45.15 x 8   16 + 8   = 804 + 361.20   24   =	1165.20   24   = 48.55   Answer:48.55 kg
Answer: C
A train 200 m long can cross an electric pole in 20 sec and then find the speed of the train?	Choose the correct choice from the following choices.
A) 17 Kmph  B) 78 Kmph  C) 72 Kmph  D) 36 Kmph  E) 19 Kmph

Solution: Length = Speed * time   Speed = L/T   S = 200/20= 
200/20 = 10
10 M/Sec   Speed= 10*18/5 (To convert M/Sec in to Kmph multiply by 18/5)   Speed = 36 Kmph   Answer: 36 Kmph
Answer: D
If A = x% of y and B = y% of x, then which of the following is true? Select
A) A is smaller than B. B) A is greater than B C) Relationship between A and B cannot be determined. D) If x is smaller than y, then A is greater than B. E) None of these

Solution: Explanation:   x% of y =(x/100 x y )=(y/100 x x )=y% of x   A = B.   ANSWNone of theseR IS None of these
Answer: E
Ratio between Rahul and Deepak is 4:3, After 6 Years Rahul age will be 26 years. What is Deepak present age?  Choose the most appropriate option.
A) 22	B) 15	C) 77	D) 266	E) 182

Solution: Present age is 4x and 3x,   => 4x + 6 = 26 => x = 5   So Deepak age is = 3(5) = 15   Answer: 15
Answer: B
Janexi covered a distance of 340 miles between city A and city B taking a total of 5 hours. If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed, how many hours did she travel at 60 miles per hour?
Choose the most appropriate option:
A) 1 hour 45 minutes B) 2 hours C) 2 hours 30 minutes D) 3 hours E) None of these

Solution: Janexi covered a distance of 340 miles between city A and city B taking a total of 5 hours. time taken at 60:time taken at 80::(greater speed-average speed):(average speed-lower speed)   average speed is   340/5= 
  340/5 = 68
68   That gives the answer 3:2=3 hours
Answer: D
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along theoundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
Choose the correct choice from the following options.
A) 134600 m  B) 235600 m  C) 153600 m  D) 153344 m  E) 1456650 m

Solution: Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m.   60   Let length = 3x metres and breadth = 2x metres.   Then, 2(3x + 2x) = 1600 or x = 160.   Length = 480 m and Breadth = 320 m.   Area = (480 x 320) m2 = 153600 m   153600 m
Answer: C
The product of the digits of the four-digit number W is 36. No two digits of are identical. How many different numbers are possible values of W ?	Choose the correct choice:
A) 6
B) 12
C) 24
D) 36
E) 48

Solution: The main question here is how can you arrange 4 different digits W. We don't even need to find the number. from the question itself we know that there are 4 different digits and none of them is 0 as the product is non-zero.   Therefore no of ways to arrange 4 diff. digits is 4! which is 24   hence 24
Answer: C
Sachin is younger than Rahul by 18 years. If the ratio of their ages is 7:9, find the age of Sachin Choose the correct option
A) 24.5 B) 63 C) 65 D) 36 E) 24.19

Solution: Explanation:   If Rahul age is x, then Sachin age is x - 18,   so,   9x - 162 = 7x   2x = 162   x = 81   So Sachin age is   81 - 18= 
  81 - 18 = 63
63   Answer: 63) 63
Answer: B