MU-NLPC/Calc-aqua_rat huggingface dataset:
A boat travels upstream from B to A and downstream from A to B in 3 hours. If the speed of the boat in still water is 9 km/hour and the speed of the current is 3 km/hour, the distance between A and B is  Choose the correct choice from the following
A) 4 km B) 8 km C) 6 km D) 12 km E) None of these

Solution: Let D is the distance travelled. Then,   12 km/(9+3) + 12 km/(9-3) = 3 => 12 km = 12   Answer: 12 km
Answer: D
A 300 meter long train crosses a platform in 51 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?  Pick one
A) 550
B) 289
C) 350
D) 882
E) 281

Solution: Speed = [300 / 18] m/sec = 50/3 m/sec.   Let the length of the platform be x meters.   Then, x + 300 / 51 = 50/3   3(x + 300) = 2550 è x = 550m.   550nswer: 550
Answer: A
A football coach must choose 5 freshers from a team of 12players. How many different ways can the coach choose the freshers?  Choose the correct choice from the following choices
A) 567  B) 687  C) 729  D) 790  E) 821

Solution: Choose 5 starters from a team of 12 players. Order is not important.   \inline {\color{Black} 12729_{5}}= 729   729
Answer: C
A certain mixture of nuts consists of 5 parts almonds to 2 parts walnuts, by weight. What is the number of pounds of almonds in 210 pounds of the mixture ?	Choose the correct choice from the following options.
A) 150	B) 84	C) 40	D) 28	E) 20

Solution: 150lmonds : Walnuts = 5 : 2   Total mixture has 7 parts   In a 210 pound mixture, 150lmonds are 5/7 (total mixture)   = 5/7 * 210= 
5/7 * 210 = 150
150 pounds   150nswer (150)
Answer: A
12.5% of 192 = 50% of ?	Pick
A) 48	B) 96	C) 24	D) None of these	E) Cannot be determined

Solution: 48nswer   Let 12.5% of 192 = 50% of 48,   ⇒(12.5 x 192) / 100 = (50 x 48) / 100   ∴ 48 = (12.5 x 192) / 50 = 48   Correct Option: 48
Answer: A
The speeds of three motor bikes are in the ratio 24 : 12 : 6. The ratio between the time taken by them to travel the same distance is :	Choose one
A) 1 : 3 : 4
B) 1 : 2 : 6
C) 1 : 4 : 4
D) 1 : 2 : 3
E) 1 : 2 : 4

Solution: Ratio of time taken :   1/24 :1/12 : 1/6 = 1 : 2 : 4   ANSW1 : 2 : 4R:1 : 2 : 4
Answer: E
Which of the following fractions is smaller twice greater than 9/50?	Select:
A) 2/5  B) 10/34  C) 43/99  D) 8/21  E) 9/20

Solution: Answer 10/34   9/50= 
9/50 = 9/50 = around 0.18
0.18   10/34=0.2941 which is 0.01 smaller than two times of 0.18
Answer: B
A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 87. How many points altogether did the team score? Choose the correct choice from the following:
A) 686
B) 672
C) 652
D) 642
E) 721

Solution: 8 * 87= 
8 * 87 = 696
696 – 10= 686   686NSWER:686
Answer: A
Mary's income is 50 percent more than Tim's income, and Tim's income is 40 percent less than Juan's income. What percent of Juan's income is Mary's income? Choose the correct choice from the following answers:
A) 124% B) 120% C) 96% D) 90% E) 64%

Solution: Juan's income = 100 (assume);   Tim's income = 60 (40 percent less than Juan's income);   Mary's income = 90 (50 percent more than Tim's income).   Thus, Mary's income (90) is 90% of Juan's income (100).   Answer: 90%.
Answer: D
The number of girls in a class are 7 times the number of boys, which value can never be the of total students
Select the correct option:
A) 40  B) 48  C) 24  D) 30  E) 34

Solution: Explanation:   Let the boys are X, then girls are 7X, total = X+7X = 8X   So it should be multiple of 8, 30 is not a multiple of 8.   Option 30
Answer: D
A person is traveling at 25km/hr and reached his destiny in 5hr find the distance?	Choices:
A) 100km
B) 95km
C) 135km
D) 80km
E) 125km

Solution: speed = 25km/hr   time = 5hr   distance = 25*5= 
25*5 = 125
125km   Answer is 125km
Answer: E
Shankar got 66, 83, 77, 68, 86 marks (out of 100) in English, Maths, physics, Biology and Chemistry. What are his average marks?
Choices
A) 76  B) 69  C) 72  D) 64  E) None of these

Solution: Explanation :   solution: 66 + 83 + 77 + 68 + 86/ 5= 76   76nswer : 76
Answer: A
The speed of a train is 64 kmph. What is the distance covered by it in 9 minutes?
Choose the most appropriate option.
A) 10 kmph	B) 11 kmph	C) 88 kmph	D) 18 kmph	E) 12 kmph

Solution: 64 * 9/60= 
64 * 9/60 = 48/5 = around 9.6
9.6 kmph   10 kmphnswer:10 kmph
Answer: A
Ron begins reading a book at 3: 30 p.m. and reads at a steady pace of 30 pages per hour. Michelle begins reading a copy of the same book at 5: 00 p.m. If Michelle started 5 pages behind the page that Ron started on and reads at an average pace of 50 pages per hour, at what time would Ron and Michelle be reading the same page?
Choose the correct choice from the following answers.
A) 7: 30 p.m. B) 7: 15 p.m. C) 7: 45 p.m. D) 8: 00 p.m. E) 8: 30 p.m.

Solution: M gains 50-30= 
50-30 = 20
20 pages per hour on R   at 5pm R has read 45 pages and M is  45+5= 
 45+5 = 50
50 pages behind him   time=50/20= 
50/20 = 5/2 = around 2.5
2.5 hours   they are on the same page at 7:30pm   7: 30 p.m.
Answer: A
In Country Z, the unemployment rate among construction workers dropped from 16 percent on September 1, 1992, to 9 percent on September 1, 1996. If the number of construction workers was 20 percent greater on September 1, 1996, than on September 1, 1992, what was the approximate percent change in the number of unemployed construction workers over this period? Answers:	A) 50% decrease	B) 30% decrease	C) 15% decrease	D) 30% increase	E) 55% increase

Solution: Country Z 1992 1996   No of construction workers 100 120   Unemployment Rate 16% 9%   Unemployed workers 16 11   % change in unemployed workers=(16-11)= 
(16-11) = 5
5/16=~33% decrease   Closest ans=30% decrease   Ans=30% decrease
Answer: B
If 378 coins consist of rupee, 50 paise and 25 paise coins, whose values are proportional to 13 :11 : 7, the number of 50 paise coins will be :	Choices:
A) 128 B) 132 C) 133 D) 136 E) None of these

Solution: If values are proportional to 13 : 11 : 7, then the number of coins will be proportional to 13/1 : 11/0.50 : 7/0.25 ⇒ 13 : 22 : 28. Now from this the number of coins of 50 paise will be 378 × 22/63 = 132.   Answer: 132
Answer: B
12 buckets of water fill a tank when the capacity of each bucket is 55 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 5 litres?  Choose the correct option.
A) 142 B) 130 C) 132 D) 123 E) 120

Solution: 132apacity of the tank = (12Ã— 55) litre   Number of buckets required of capacity of each bucket is 17 litre = 12Ã—55/5=12Ã—11=132   Answer is 132
Answer: C
A man took a loan at rate of 12% per annum simple interest. After 3 years he had to pay 3600 interest. The principal amount borrowed by him was.
Answers:
A) Rs 10000  B) Rs 15000  C) Rs 16000  D) Rs 17000  E) None of these

Solution: Explanation:   S.I.=Pâˆ—Râˆ—T/100   =>P=S.I.âˆ—100/Râˆ—T   =>P=3600âˆ—100/12âˆ—3=Rs10000   Option Rs 10000
Answer: A
A train covers a certain distance at a speed of 230kmph in 4 hours. To cover the same distance in 2 2/3 hours, it must travel at a speed of Select:
A) 220km/hr B) 320km/hr C) 345km/hr D) 450km/hr E) 650km/hr

Solution: Explanation:   Distance = 230Ã—4 = 920km   Required speed = (920Ã— 3/8) = 345km/hr   Answer: Option 345km/hr
Answer: C
What is the smallest five digit number that is divisible by 16, 36, 40, and 54?	Choose the correct option:
A) 10200
B) 10500
C) 10800
D) 11000
E) 11400

Solution: 16 = 2^4   36 = 2^2 * 3^2   40 = 2^3 * 5   54 = 2 * 3^3   L10800M = 2^4 * 3^3 * 5 = 2160   The smallest five-digit number that is a multiple of 2160 is 5*2160 = 10,800   The answer is 10800.
Answer: C
15 lts are taken of from a container full of liquid A and replaced with Liquid B. Again 15 more lts of the mixture is taken and replaced with liquid B. After this process, if the container contains Liquid A and B in the ratio 9:16,What is the capacity of the container Q?	Choose the correct choice from the following answers:
A) A:45
B) B:25
C) C:37.5
D) D:36
E) E:42

Solution: If you have a 37.5 liter capacity, you start with 37.5 L of A and 0 L of B.   1st Replacement   After the first replacement you have 37.5-15= 
37.5-15 = 22.5
22.5 L of A and 15 L of B. The key is figuring out how many liters of A and B, respectively, are contained in the next 15 liters of mixture to be removed.   The current ratio of A to total mixture is 22.5/37.5; expressed as a fraction this becomes (45/2) / (75/2), or 45/2 * 2/75. Canceling the 2s and factoring out a 5 leaves the ratio as 9/15. Note, no need to reduce further as we're trying to figure out the amount of A and B in 15 L of solution. 9/15 of A means there must be 6/15 of B.   Multiply each respective ratio by 15 to get 9 L of A and 6 L of B in the next 15L removal.   Final Replacement   The next 15L removal means 9 liters of A and 6 liters of B are removed and replaced with 15 liters of B. 22.5-9=13.5 liters of A. 15 liters of B - 6 liters + 15 more liters = 24 liters of B.   Test to the see if the final ratio = 9/16; 13.5/24 = (27/2) * (1/24) = 9/16. C:37.5hoice C:37.5 is correct.
Answer: C
How many positive integers less than 100 are multiples of a prime number?
.  Choose the correct choice from the following answers:	A) 91	B) 92	C) 94	D) 96	E) 98

Solution: There are a total of 99 positive integers less than 100   and except the no. 1, every other no. is a multiple of some prime number so answer should be 98   ANswer: Option 98
Answer: E
An article is bought for Rs.675 and sold for Rs.945, find the gain percent?	Select:  A) 40%  B) 33 8/3%  C) 33 1/3%  D) 33 2/3%  E) 33 1/2%

Solution: 675 ---- 270   100 ---- ? => 40%   40%nswer: 40%
Answer: A
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? Choices:
A) 288
B) 240
C) 277
D) 127
E) 922

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
Answer: B
There are 10 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible?
Choose the correct answer:
A) 120	B) 720	C) 1,060	D) 1,620	E) 1,980

Solution: Answer is E. Can somebody tell me what answer I may have found if I had added the 10C2 and 9C2 (45+36=81)?   I'm guessing that would've been the number of 2-member committees which had men and women separately. Is that right?   1,620
Answer: D
The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 4% p.a. was Rs.326.40. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned.
Choose the correct choice from the following choices:  A) Rs.4326.40  B) Rs.4236.40  C) Rs.4136.40  D) Rs.4316.40  E) Rs.4136.40

Solution: Let the sum be Rs.P   P{ [ 1 + 4/100]2 - 1 } = 326.40   P(4/100)(2 + 4/100) = 326.40 [a2 - b2 = (a - b) ( a + b)] P = 326.40 / (0.04)(2.04) = 4000 Rs.4326.40mount =4000+326.40= 
4000+326.40 = 4_326.4
4326.40 Rs.4326.40nswer : Rs.4326.40
Answer: A
A rabbit on a controlled diet is fed daily 300 grams of a mixture of two foods, food X and food Y. Food X contains 10% protein and food Y contains 15% protein. If the rabbit's diet provides exactly 38 grams of protein daily, how many grams of food X are in the mixture. Choose one:
A) 100
B) 140
C) 150
D) 160
E) 200

Solution: 0.1x + 0.15y = 38   x+y = 300   x = 300-y   so 0.1(300-y) + 0.15y = 38   30-0.1y + 0.15y = 38   0.05y = 8   y = 160 grams   then x = 140 grams.   Answer: 140
Answer: B
A cistern which could be filled in 7 hours takes one hour more to be filled owing to a leak in its bottom. If the cistern is full in what time will the leak empty it?	Choose the correct choice from the following.
A) 76 hrs	B) 70/3 hrs	C) 55 hrs	D) 90 hrs	E) 11 hrs

Solution: 1/7 - 1/x = 1/10   => 70/3 hrs   Answer: 70/3 hrs
Answer: B
The speed of the man in still water is 40 kmph. If he can row upstream at 20 kmph, find the downstream.  Choose the correct choice from the following answers.
A) 40	B) 50	C) 55	D) 60	E) 65

Solution: M = (60S + US)/2   60S=2M-US   = 2*40-20= 
2*40-20 = 60
60   Answer:60
Answer: D
How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm? Options:
A) 6400	B) 6410	C) 6440	D) 6500	E) 6800

Solution: Number of bricks = Volume of Wall/Volume of Bricks   =800x600x22.5/21x11.25x6= = 6400   answer :6400
Answer: A
If x is equal to the sum of the even integers from 40 to 60 inclusive, and y is the number of even integers from 40 to 60 inclusive, what is the value of x+y?	Choose the correct choice from the following answers.
A) 550	B) 551	C) 560	D) 561	E) 572

Solution: This is a perfect example of why you should not use formulas without understanding them properly. If you understand them, you will not make a mistake and will save time.   The formula quoted by the original poster: n(n+1) is absolutely fine. But one needs to understand that n is the number of even terms starting from the first even term. (I discuss why this is so here:   Sum of even numbers from 40 to 60 using this formula will be:   30*31 - 19*20 = 10(3*31 - 19*2) = 550   Since number of terms is 11, required sum is 561   But, I would not use this formula for this question and would do it the way many of you have done:   Average = 50 (it is the middle number), Number of terms = 11 (No formula again. Any 10 consecutive integers have 5 even and 5 odd numbers. 41 to 60 will have 10 even integers and 40 is the 11th one)   Sum = 50*11 + 11= 
50*11 + 11 = 561
561   answer is 561
Answer: D
What number should replace the question mark?
16, 23, 19, 19, 22, 15, 25, ?
Options.
A) 11 B) 12 C) 13 D) 14 E) 15

Solution: 11   11   There are two alternate sequences + 3 and - 4
Answer: A
A man walks at a speed of 8 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?  Choices:
A) 1 4/2 hours	B) 1 2/5 hours	C) 2 1/6 hours	D) 2 1/1 hours	E) 2 1/2 hours

Solution: Required time   = (5 1/4)/8 + (5 1/4)/7   = 1 2/5 hours.   Answer:1 2/5 hours
Answer: B
Ravi and Ramu are partners in a business.Ravi contributes 1/6 of the capital for 16 months and Ramu received 2/3 of the profit. For how long Ramu's money was used ?
Select
A) 7 months	B) 6 months	C) 3 months	D) 8 months	E) 9 months

Solution: Let the total Profit be Z.   Ramu's profit share is 2/3 of profit (i.e 2Z/3)   Ravi's profit is (Z-2Z/3) =Z/3   Hence the profit ratio is , Ravi : Ramu = Z/3 : 2Z/3 = 1:2   Let total Capital be Rs.X and Ramu has contributed for Y months.Since Ramu's profit share is 2/3, his invest share will be 2/3 in capital.   Ravi's invest for 16 months / Ramu's invest for Y months = Ravi's profit share / Ramu's profit share   i.e. (X/6 x 16) / (2X/3 x Y) = 1/2   Solving the above equation, we get Y = 8.   So Ramu's money has been used for 8 months.   Answer: 8 months
Answer: D
A letter lock consists of 4 rings, each ring contains 9 non-zero digits. This lock can be opened by setting four digit code with the proper combination of each of the 4 rings. Maximum how many codes can be formed to open the lock ? Select the correct option.
A) 4(9) B) 9(4) C) 9P4 D) None of these E) Cannot be determined

Solution: Solution: There are 9 non-zero digits to arrange themselves at 4 different position. Each letter can be arrange at different position in 9 different ways.   So, required number of ways,   = 9 *9 *9 *9   = 94.   Answer: Option 9(4)
Answer: B
Consider a sequence of numbers given by the expression 7 + (h - 1) * 5, where n runs from 1 to 80.What is the sum of this series ? Select the correct option:
A) 409	B) 1636	C) 16360	D) 16000	E) 15360

Solution: terms in this sequence are 7,12,17----402   now since this is an a.p. with a common difference of 5. therefore its sum can be given as   h(a+l)/2----------------1)   h= total no. of terms =80   a= first term=7   l= last term=402   subsituting values in the expression 1 we have   80(7+402)/2   = 40(409)   =16360=16360
Answer: C
A sum of Rs. 2704 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
Choose the correct answer.
A) 1672 B) 1664 C) 1677 D) 1698 E) 1679

Solution: (x*8*3)/100 = ((2704 - x)*3*5)/100   24x/100 = 40560/100 - 15x/100   39x = 40560 => x = 1040   Second sum = 2704 â€“ 1040 = 1664   Answer:1664
Answer: B
A sum of money is distributed among A,B,C,D in the proportion of 1:3:4:2. If C gets $500 more than D, what is the B's share?
Choices:
A) $450
B) $500
C) $750
D) $800
E) $840

Solution: Let the shares of A,B,$750,D are x,3x,4x,2x   4x-2x = 500   x = 250   B's share = 3x = $750   Answer is $750
Answer: C
A number consists of two digits. If 3/5 of 1/5 of the number is 9. Find the sum of its two digits?
Choose one
A) 33	B) 28	C) 13	D) 12	E) 11

Solution: Explanation:   x * 3/5 * 1/5 = 9   x = 75 => 7 + 5= 
7 + 5 = 12
12   Answer: 12
Answer: D
At what rate percent per annum will sum of money double in 20 years? Answers:
A) 1.2 %	B) 2 %	C) 4 %	D) 5 %	E) None of these

Solution: Explanation:   Hint: If sum of money becomes (z times) in (T) years at simple interest, then rate of interest (R) can be calculated using the formula:   Rate of Interest (R) % =	100 (z – 1)/T   Here, principal amount is not given.   Hence, we can directly use the trick to calculate the rate of interest.   Rate of Interest (R) % =	100 (2 – 1)/20   Rate of Interest (R) %=5 % p.a.   ANSWER IS 5 %
Answer: D
If a = -0.4, which of the following is true?	Select:
A) a < a^2 < a^3	B) a^2 < a^3 < a	C) a^2 < a < a^3	D) a < a^3 < a^2	E) a^3 < a < a^2

Solution: a=-0.4;   a^2=0.16;   a^3=-0.064;   Answer : a < a^3 < a^2
Answer: D
A certain stock exchange designates each stock with a 1, 2 or 3 letter code, where each letter is selected from the 14 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order, constitute a different code, how many diff stocks is it possible to designate with these codes?	Pick one:
A) 2600  B) 2800  C) 2500  D) 3000  E) 2954

Solution: Pretty simple actually   Number of 1 letter symbols = 14   Number of 2 letter symbols = 14*14   Number of 3 letter symbols = 14*14*14   The answer is sum of the 3. = 14+14*14+14*14*14 =14(1+14+14*14)= 14*211= 
14*211 = 2_954
2954   So the answer is 2954.
Answer: E
In the xy plane, the point (-2,-3) is the center of a circle. The point (-2,1) lies inside the circle and the point (4,-3) lies outside the circle. If the radius r of the circle is an integer, then r= Pick:
A) 6  B) 5  C) 4  D) 3  E) 2

Solution: This question might look intimidating because of its language, but once you start solving it, you will realise that the options are given to you in such a way that you reach the correct answer easily.   The radius will lie somewhere between the distance of centre from the inner point and the distance from the outer point.   Distance between centre and inner point = Distance between (-2,-3) and (-2, 1)   We can solve for the distance by using the formula for distance between two points. But that is not required here.   If one of the co-ordinates is same, then the distance between two points is simply the difference between the other coordinate.   In this case, Distance = 1 - (-3)= 
1 - (-3) = 4
4   Distance between centre and utter point= Distance between (-2, -3) and (4, -3) = 4 - (-2)= 
4 - (-2) = 6
6   The radius has to be between 4 and 6   On looking at the options, only 5 satisfies   Correct Option: 5
Answer: B
One copy machine can make 15 copies a minute, and a second copy machine makes 10 copies a minute. If the two copiers work together, how long would it take them to make 1,000 copies? Choose the correct choice from the following answers.
A) 20 minutes  B) 30 minutes  C) 40 minutes  D) 50 minutes  E) 60 minutes

Solution: Total work done by both machines in a minute = 15 + 10= 
15 + 10 = 25
25 copies   Total number of copies required= 1000   Time = 1000/25= 
1000/25 = 40
40 mins   Answer 40 minutes
Answer: C
If 5 people contributed a total of $20.00 toward a gift and each of them contributed at least $3.00, then the maximum possible amount any one person could have contributed is	Choose the correct choice from the following answers.
A) $1.00	B) $1.25	C) $5.00	D) $8.00	E) $20.00

Solution: $8.00 for me   4 people with 3$ each -> maximum = 8
Answer: D
A retailer bought a shirt at wholesale and marked it up 80% to its initial price of $27. By how many more dollars does he need to increase the price to achieve a 100% markup? Select:  A) 1  B) 2  C) 3  D) 4  E) 5

Solution: Let x be the wholesale price.   Then 1.8x= 27 and x = 27/1.8= 
27/1.8 = 15
15.   To achieve a 100% markup, the price needs to be $30.   The retailer needs to increase the price by $3 more.   The answer is 3.
Answer: C
A number is said to be prime saturated if the product of all the different positive prime factors of n is less than the square root of n. What is the greatest two digit prime saturated integer ?  Choose the most appropriate option:  A) 99  B) 98  C) 97  D) 96  E) 95

Solution: A prime factors are 3 and 11. 33<sqrt(99)? no   B prime factors are 2 and 7. 14<sqrt(98)? no   C prime number. its sqrt is never greater than itself   D A prime factors are 2 and 6. 6<sqrt(96)? yes   E prime factors are 5 and 19. 45<sqrt(95)? no   ANSWER:96
Answer: D
A man can row his boat with the stream at 26 km/h and against the stream in 4 km/h. The man's rate is?	Choose the correct choice from the following answers:
A) 1 kmph	B) 7 kmph	C) 98 kmph	D) 11 kmph	E) 4 kmph

Solution: 11 kmphS = 26   US = 4   S = ?   S = (26 - 4)/2= 
(26 - 4)/2 = 11
11 kmph   Answer: 11 kmph
Answer: D
At what % above C.P must an article be marked so as to gain 33% after allowing a customer a discount of 5%?	Choose the correct choice from the following answers:
A) 49%	B) 40%	C) 48%	D) 45%	E) 38%

Solution: Let C.P be Rs 100.then S.P be Rs 133   Let the market price be Rs x   Then 90% of x=133=>95x/100=133=>x=(133*100/95)= 
(133*100/95) = 140
140   Market price= 40% above C.P   Answer is 40%.
Answer: B
An article is bought for Rs.675 and sold for Rs.775, find the gain percent?
Choose the correct choice from the following:  A) 73%  B) 14.8%  C) 33 1/3%  D) 93 1/3%  E) 33 1/3%

Solution: Explanation:   675 ---- 100   100 ---- ? => 14.8%   Answer:14.8%
Answer: B
What percent is 20% of 25%? Choose the most appropriate option:
A) 20%
B) 30%
C) 50%
D) 60%
E) 80%

Solution: Required percentage = 20%/25% * 100 = 20/25 * 100= 
20/25 * 100 = 80
80%   Answer is 80%
Answer: E
There are 11 points marked on the circumference of a circle. How many hexagons can be formed by connecting 6 points of the 11 points?	Select the correct option.
A) 450	B) 454	C) 458	D) 462	E) 466

Solution: 11C6=462   The answer is 462.
Answer: D
A boy pays Rs. 369 for an article marked at Rs. 600, by enjoying two successive discounts. If the first discount is of 25%, how much should be the second discount?
Choose the correct choice from the following answers
A) 20 %
B) 10 %
C) 25 %
D) 18 %
E) None of these

Solution: Explanation:   First discount = 25% of 600 = Rs. 150.   Thus, the reduced price = 600 – 150 = Rs. 450.   Since the person actually paid Rs. 369, the value of the second discount must be equal to Rs. 81 (450 – 369).   Let the second discount be x   Thus, we get, 81 = x of 450   ( 81/450)*100= 
( 81/450)*100 = 18
18%   ANSWER 18 %
Answer: D
When Rahul was born, his father was 26 years older than his brother and his mother was 23 years older than his sister. If Rahul's brother is 4 years older than him and his mother is 3 years younger than his father, how old was Rahul's sister when he was born ?
Choose the correct choice from the following options:
A) 7 years	B) 5 years	C) 4 years	D) 6 years	E) 8 years

Solution: When Rahul was born, his brother's age = 4 years; his father's age = (4 + 26)= 
(4 + 26) = 30
30 years,   his mother's age= (30 - 3)= 
(30 - 3) = 27
27 years;   his sister's age= (27 - 23)= 
(27 - 23) = 4
4 years.   Answer: Option 4 years
Answer: C