MU-NLPC/Calc-aqua_rat huggingface dataset:
The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 22 years(the child was born during the interval). What is the present age of the child?  Choose the correct choice from the following:
A) 10 years
B) 20 years
C) 30 years
D) 40 years
E) 25 years

Solution: 28 * 2= 
28 * 2 = 56
56   22 * 3= 
22 * 3 = 66
66   -----------   10 years   10 yearsNSWER:10 years
Answer: A
A customer using a certain telephone calling plan pays a fee of $25 per month, and then receives a discount of 40% on the regular charge for all calls made to country S. If calls to country S are regularly charged at $1.60 per minute for the first 3 minutes, and $0.80 per minute for each minute thereafter, what is the maximum the customer could have saved over regular prices if he was charged for 1 hour of calls made to country S in a certain month?	Choose the most appropriate option:  A) $8.75  B) $12  C) $13.40  D) $17.40  E) $24.40

Solution: Discount = 40% of spending   We want to maximise discount so we will need to maximise spending. We do that by assuming that 60 calls were made of 1 min each because the first minute is the most expensive.   Max discount = (40/100)* 60 * 1.6 = (40/100)*96   This would be slightly less than 40. About 38 to 39.   Saving = (Slightly less than 40) - 25 = Slightly less than 15 charged in S country   Answer ($13.40)
Answer: C
A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?	Choose the correct choice from the following answers
A) 31/111 B) 36/145 C) 21/115 D) 11/154 E) None

Solution: The probability that first ball is white:   =12C130C1=12C130C1   =1230=1230   =25=25   Since, the ball is not replaced; hence the number of balls left in bag is 29.   Hence, the probability the second ball is black:   =18C129C1=18C129C1   =1829=1829   Required probability,   =(25)×(1829)=(25)×(1829)   =36/145   36/145
Answer: B
A cistern 5 m long and 2 m wide contains water up to a breadth of 1 m 10 cm. Find the total area of the wet surface.	Choose the correct choice from the following choices.
A) 42 m sqaure
B) 49 m sqaure
C) 25 m sqaure
D) 28 m sqaure
E) None of these

Solution: Explanation:   Area of the wet surface =   2[lb+bh+hl] - lb = 2 [bh+hl] + lb   = 2[(2*1.1+5*1.1)]+5*2 = 25 m square   Option 25 m sqaure
Answer: C
Two friends were driving a Ferrari at 55mph and they traveled x miles with that speed. The next x+20 miles were traveled by them at a speed of 40mph. If they drove for hundred minutes in total.
What is the distance that they traveled in total ? Choose the correct choice from the following answers.
A) 64 2/57 miles B) 74 2/57 miles C) 84 2/57 miles D) 94 2/57 miles E) 54 2/57 miles

Solution: Solution:   t1 + t2 = 100 minutes = 100/60 hours   t1 = x/55   t2 = (x+20)/40   x/55 + (x+20)/40 = 100/60   x = 1540/57   Total distance = x + (x+20) = 4220/57 miles = 74 2/57 miles   Answer 74 2/57 miles
Answer: B
In a school of 850 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?  Choose one:
A) 277  B) 267  C) 153  D) 188  E) 151

Solution: 44 + 28 + 10= 
44 + 28 + 10 = 82
82%   100 – 82= 18%    850 * 18/100= 
 850 * 18/100 = 153
153   Answer: 153
Answer: C
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?  Choose the correct option
A) 1/455	B) 1/458	C) 1/451	D) 1/457	E) 1/452

Solution: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.   Probability that all the three marbles picked at random are blue   = ³C₃/¹⁵C₃ = (1 * 3 * 2 * 1)/(15 * 14 * 13)   = 1/455   1/455nswer: 1/455
Answer: A
Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.341 in 2 years?  Choose the correct option.
A) 221  B) 309  C) 400  D) 288  E) 171

Solution: Explanation:   341 = P(21/20)2   P = 309.29   Answer:309
Answer: B
In a nuts and bolts factory, one machine produces only nuts at the rate of 100 nuts per minute and needs to be cleaned for 5 minutes after production of every 1,000 nuts. Another machine produces only bolts at the rate of 75 bolts per minute and needs to be cleaned for 10 minutes after production of every 1,500 bolts. If both the machines start production at the same time, what is the minimum duration required for producing 9,000 pairs of nuts and bolts?
Pick one.
A) 130 minutes  B) 135 minutes  C) 170 minutes  D) 180 minutes  E) 190 minutes

Solution: Total number of nuts produced in 10 minutes = 1000.   An extra 5 minutes is required to clean those nuts.   Thus, the total time required in producing 1000 nuts = 15 minutes.   Now, total number of bolts produced in 20 minutes = 1500.   Here also an extra 10 minutes is required to clean those bolts.   Thus, the total time required in producing 1500 bolts = 30 minutes.   Also, 2000 nuts will be produced in 30 minutes. Hence, the rate of production of nuts is greater than the rate of production of bolts.   Thus, in order to determine the minimum duration required for producing 9,000 pairs of nuts and bolts, we only need to determine the time required for producing 9000 bolts.   Hence, the time required for producing 9000 bolts = (9000 x 30)/ 1500 = 180 minutes   ANSWER:180 minutes
Answer: D
Share Rs.4200 among John, Jose & Binoy in the ration 2 : 4 : 6.Find the amount received by John?	Choose one:
A) 900  B) 1000  C) 1254  D) 1795  E) 1400

Solution: Amount received by sanjay.   4 / 12 X 4200 = 1400= ( related ratio / sum of ratio ) x Total amount   So, the Amount received by sanjay is 1400.   1400
Answer: E
In a group of cheerleaders, the group made of 10 males and 16 females. Every cheerleader gets to choose between a coke or malt. The number of those that choose malt is double the number that chose coke, If all the 6 males choose malt, how many females chose malt? Choices.
A) 30 B) 5 C) 8 D) 20 E) 10

Solution: Number of cheerleaders = 27   Number of male = 10   number of female = 17   8oke = 9   Maly = 17   Female who chose malt = 17 - 9= 
17 - 9 = 8
8   Answer= 8
Answer: C
A candidate who gets 30% of the marks fails by 50 marks. But another candidate who gets 45% marks gets 25 marks more than necessary for passing. Find the number of marks for passing?	Choose the correct choice from the following answers
A) 200  B) 150  C) 275  D) 300  E) 350

Solution: 30% ------------ 50   45% ------------ 25   ----------------------   15% ------------- 75   30% -------------- ?     150 + 50= 
  150 + 50 = 200
200 Marks   200NSWER 200
Answer: A
The average age of three boys is 32 years and their ages are in proportion 3:6:7. What is the age in years of the youngest boy?
Options
A) 16 B) 19 C) 18 D) 4 E) 2

Solution: 3x + 6x + 7x = 96   x =6   3x = 18   Answer: 18
Answer: C
The area of a square field is 576 km2. How long will it take for a horse to run around at the speed of 12 km/h ? Options.
A) 12 h  B) 10 h  C) 8 h  D) 6 h  E) None of these

Solution: Area of field = 576 km2. Then,   each side of field = √576=24km   Distance covered by the horse   = Perimeter of square field   = 24 × 4 = 96 km   ∴ Time taken by horse = distances/peed=96/12= 
96/12 = 8
8h   Answer 8 h
Answer: C
A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?  Choose the correct choice.
A) 227m
B) 228m
C) 350m
D) 167m
E) 186m

Solution: Speed = [300 / 18] m/sec = 50/3 m/sec.   Let the length of the platform be x meters.   Then, x + 300 / 39 = 50/3   3(x + 300) = 1950 è x = 350m.   Answer: 350m
Answer: C
A and B entered into a partnership with investments of Rs. 15000 and Rs. 14000 respectively. After 3 months A left from the business, at the same time C joins with Rs. 30000. At the end of 9 months, they got Rs. 7800 as profit. Find the share of B.
Choose the correct choice from the following choices
A) Rs. 4800	B) Rs. 600	C) Rs. 2400	D) Rs. 1200	E) None of these

Solution: Explanation:   Ratio of capitals of A, B and C   = (15000 × 3) : (40000 × 9) : (30000 × 6)   = 1 : 8 : 4   B's share = Rs. [(8/13) × 7800] = Rs. 4800   Rs. 4800nswer: Option Rs. 4800
Answer: A
How many even number in the range between 10 to 140 inclusive are not divisible by 3
Choose the correct choice from the following
A) 15 B) 30 C) 31 D) 33 E) 44

Solution: We have to find the number of terms that are divisible by 2 but not by 6( as the question asks for the even numbers only which are not divisible by 3)   For 2,   10,12,14...140   using AP formula, we can say 140 = 10 + (n-1) *2   or n=66.   For 6,   12,18,...138   using AP formula, we can say 138 = 12 + (n-1) *6   or n=22.   Hence, only divisible by 2 but not 3 = 66-22= 
66-22 = 44
44. hence, Answer 44
Answer: E
Ginger over the course of an average work-week wanted to see how much she spent on lunch daily. On Monday and Thursday, she spent $9.43 total. On Tuesday and Wednesday, she spent $3.54 on each day. On Friday, she spent $7.89 on lunch. What was her average daily cost?
Choose the correct choice from the following answers:  A) a. $3.19  B) b. $3.75  C) c. $3.90  D) d. $4.88  E) e. $4.23

Solution: On Monday and Thursday, she spent $9.43total.   On Tuesday and Wednesday, she spent $3.54on each day.   On Friday, she spent $7.89 on lunch.   The average = (9.43 + 2*3.54 + 7.89)/5 = 4.88.   Answer: d. $4.88.
Answer: D
How many shots of 1cm radius can be prepared from a sphere of 2cm radius?
Answers.
A) 3  B) 8  C) 27  D) 88  E) 99

Solution: 4/3 Ï€ * 2 * 2 * 2 = 4/3 Ï€ * 1 * 1 * 1 * x   x = 8   Answer: 8
Answer: B
The diameter of a garden roller is 1.4 m and it is 3 m long. How much area will it cover in 5 revolutions ? (use Ï€ = 22â„7)  Pick one: A) 60 m2 B) 64 m2 C) 68 m2 D) 66 m2 E) None of these

Solution: Required area covered in 5 revolutions   = 5 Ã— 2Ï€rh = 5 Ã— 2 Ã— 22â„7 Ã— 0.7 Ã— 3 = 66 m2   Answer 66 m2
Answer: D
A certain pilot flew 400 miles to City K at an average speed of 350 miles per hour with the wind and made the trip back at an average speed of 200 miles per hour against the wind. Which of the following is closest to the pilot’s average speed, in miles per hour, for the round-trip?  Select: A) 280 B) 290 C) 250 D) 310 E) 320

Solution: Avg speed = total distance/ total time   total distance = 800   total time = 400/350 + 400/200 = 22/7   => avg speed = (800*7)/22 = 250(approx)   ans is 250
Answer: C
A train is moving at a speed of 132 km/hour. If the length of the train is 110 meters, how long will it take to cross a railway platform 165 meters long.	Choose the correct option
A) 7 second  B) 7.5 second  C) 8 second  D) 8.5 second  E) None of these

Solution: Explanation:   As we need to calculate answer in seconds, so first convert speed into meter/sec.   we know 1 km/hr = 1*(5/18) m/sec   So, Speed = 132* (5/18) = 110/3 m/sec   Distance need to be covered in passing the platform =   Length of train + length of platform = 110 + 165= 
110 + 165 = 275
275 meters   Time= Distance/Speed   =>Time=275∗3/110=15/2= 
15/2 = 15/2 = around 7.5
7.5seconds   Option 7.5 second
Answer: B
Laura's cookie recipe calls for 12 g of sugar for each 3 g of oil used. She needs to make 6 times the original recipe. If 72 g of sugar is used, then how many g of oil are needed? Pick.
A) 18	B) 36	C) 12	D) 54	E) 6

Solution: Number of g of sugar needed to make 6 times the original recipe 6x12 = 72   Number of grams of oil 3   Number of grams of oil needed 3x6 = 18   18nswer 18
Answer: A
How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr? Options
A) 287 meters  B) 217 meters  C) 500 meters  D) 278 meters  E) 267 meters

Solution: Let length of tunnel is x meter   Distance = 800+x meter   Time = 1 minute = 60 seconds   Speed = 78 km/hr = 78*5/18 m/s = 65/3 m/s   Distance = Speed*Time   800+x = (65/3) * 60   800+x = 20 * 65= 
20 * 65 = 1_300
1300   x= 1300 - 800= 
1300 - 800 = 500
500 meters   Answer:500 meters
Answer: C
The letters B,G,I,NB,G,I,N and RR are rearranged to form the word 'Bring'. Find its probability:
Choose one:
A) 1/120 B) 1/(5)4 C) 1/24 D) 1/76 E) 1/32

Solution: Solution:   There are total 5 letters. The probability that BB gets the first position is 1/5   The probability that G is in the second position is 1/4   Likewise, probability for I,NI,N and G   Hence required probability:   =1/5*1/4*1/3*1/2*1   =1/120   1/120NSWER IS 1/120
Answer: A
Patrick purchased 60 pencils and sold them at a loss equal to the selling price of 20 pencils. The cost of 60 pencils is how many times the selling price of 60 pencils?	Choose the correct answer.
A) 0.75
B) 0.8
C) 1
D) 1.33
E) 1.75

Solution: Say the cost price of 60 pencils was $60 ($1 per pencil) and the selling price of 1 pencil was p.   Selling at a loss: 60 - 60p = 20p --> p = 3/4.   (cost price)/(selling price) = 1/(3/4) = 4/3 = 1.33.   Answer: 1.33.
Answer: D
Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money? Choose the correct answer
A) 1500 B) 2277 C) 2789 D) 2788 E) 1912

Solution: P = 15(100/10)2 => P = 1500   1500nswer: 1500
Answer: A
The difference between the two digit number and the number obtained by interchanging its digits is 54. The difference between the digits is?	Choose the most appropriate option.
A) 4  B) 5  C) 6  D) 2  E) 3

Solution: (10x + y) â€“ (10y + x) = 54   x â€“ y = 6   Answer 6
Answer: C
There is an increase of 30% in the production of milk chocolates in Amul Dairy in one month. If now it is 7,800 milk chocolates per month, what was it one month ago?	Choices:
A) 10,000 chocolates  B) 6000 chocolates  C) 8000 chocolates  D) 7000 chocolates  E) None of these

Solution: Let one month ago, production be x chocolates.   Then, 130 % of x = 7800   ⇒ x = 7800×100/130=6000 chocolates   Answer 6000 chocolates
Answer: B
If -3<= x <= 2 and 3 <= y <= 8, which of the following represents the range of all possible values of y-x? Select.
A) 5 <= y-x <= 6  B) 1 <= y-x <= 5  C) 1 <= y-x <= 6  D) 5 <= y-x <= 10  E) 1 <= y-x <= 11

Solution: Maximum value of y-x= 8 - (-3)= 
8 - (-3) = 11
11   Minimum value of y-x= 3-2= 
3-2 = 1
1   1 <= y-x <= 11 mentions the correct range
Answer: E
In the rectangular coordinate system, if the line x = 3y + 5 passes through points (m,n) and (m + 2,n + p), what is the value of p?	Pick:
A) -2	B) 0	C) 1/2	D) 1	E) 2/3

Solution: x = 3y+5, and thus y = x/3 - 5/3   The slope is 1/3.   The slope of a line through points (m,n) and (m + 2,n + p) is (n+p-n)/(m+2-m) = p/2   p/2 = 1/3 and thus p = 2/3   The answer is 2/3.
Answer: E
The perimeter of a triangle is 44 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Options:
A) 76 cm2  B) 56 cm2  C) 18 cm2  D) 98 cm2  E) 55 cm2

Solution: Area of a triangle = r * s   Where r is the inradius and s is the semi perimeter of the triangle.   Area of triangle   = 2.5 * 44/2= 
2.5 * 44/2 = 55
55 cm2   Answer:55 cm2
Answer: E
Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.92 at the candy store. What is John’s weekly allowance?
Select
A) $2.55  B) $2.85  C) $3.15  D) $3.45  E) $3.75

Solution: x = 3x/5 + 1/3*2x/5 + 92   4x/15 = 92   x = 345 = $3.45   The answer is $3.45.
Answer: D
Find the largest 5 digit number which is exactly divisible by 88? Choose the correct answer.
A) 98765	B) 98907	C) 99944	D) 99954	E) 99968

Solution: Largest 5 digit number is 99999   After doing 99999 ÷ 88 we get remainder 31   Hence largest 5 digit number exactly divisible by 88 = 99999 - 31= 
99999 - 31 = 99_968
99968   99968
Answer: E
The value for F=(0.889 × 55)/9.97 to the nearest tenth is  Answers:	A) 0.5	B) 4.63	C) 4.9	D) 7.7	E) 49.1

Solution: if we read the Q, we can easily home on to the answer,,   the numerator is clearly between 40 and 50..   denomiator is close to 10..   so F=(0.889 × 55)/9.97 is between 4 and 5..   It may tempt us to solve it since ther are two values between 4 and 5..   but the catch is innearest tenth   4.63 can be called nearest to hundreth and no tenth, so can be eliminated..   4.9 is our answer...   4.9
Answer: C
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Pick one.
A) 565	B) 444	C) 676	D) 767	E) 663

Solution: 1h ----- 5   ? ------ 60   12 h   RS = 16 + 21= 
16 + 21 = 37
37   T= 12   D = 37 * 12= 
37 * 12 = 444
444   Answer: 444
Answer: B
In a rare coin collection, all coins are either pure gold or pure silver, and there is initially one gold coin for every three silver coins. With the addition of 14 more gold coins to the collection, the ratio of gold coins to silver coins is 1 to 2. Based on this information, how many total coins are there now in this collection (after the acquisition)?	Select
A) 102	B) 114	C) 126	D) 138	E) 150

Solution: Initially the number of gold coins and silver coins is 2k and 6k.   After adding gold coins, the number of coins is 3k and 6k.   Thus k = 14 and the total number of coins is 9k = 126.   The answer is 126.
Answer: C
If 2^4, 3^3, and 12^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?	Choose one:
A) 198
B) 288
C) 432
D) 396
E) 484

Solution: I will go with 432 (pending elements to match is 2^2*3^2*12^1 =432
Answer: C
Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour?  Choose the correct choice from the following
A) 99	B) 77	C) 12	D) 66	E) 45

Solution: T = 9/45 * 60= 
9/45 * 60 = 12
12   Answer: 12
Answer: C
Three people of different heights are to be seated on a bench. How many different sitting arrangements are possible if the tallest one and the shortest one must sit next to each other ?	Choose the correct choice.
A) 2	B) 4	C) 6	D) 8	E) 10

Solution: Consider T and S one. But, in this arrangement they can sit in two different combinations.   T first and S second or S first and T second.   Total we have (T and S) and third person= 2 arrangements to do.   Total arrangements= 2*2= 
2*2 = 4
4   4 is the answer
Answer: B
Aishwarya’s mom was 38 years of age at the time of her birth, while her mom was 36 years old when her 4 years younger sister was born. The variance between the parents ages is :	Choose the correct choice:
A) 6 years
B) 11 years
C) 10years
D) 9 years
E) 4 years

Solution: A   6 years   Mom’s age when Aishwarya’s sister was born = 36 years.   Dad’s age when Aishwarya’s sister was born = (38 + 4)= 
(38 + 4) = 42
42 years.   Needed Variance= (42 – 36) years = 6 years.
Answer: A
10 is added to a certain number, the sum is multiplied by 7, the product is divided by 5 and 5 is subtracted from the quotient. The remainder left is half of 88. What is the number? Choose the correct choice from the following choices:  A) 21  B) 20  C) 25  D) 30  E) 45

Solution: Let number is X.   When 10 added to it,   = (X+10)   7 multiplied to sum,   = 7 *(X +10)   Now,   = [{7 *(X +10)} /5]   And,   = [{7 *(X +10)} /5] - 5   According to question,   [{7 *(X +10)} /5] - 5 = half of 88   [(7X + 70) /5) = 44 +5   7X + 70 = 49 *5   X + 10 = 7 *5   X + 10 = 35   X = 35 - 10= 
35 - 10 = 25
25   So, required number is: 25.   ANSWER : 25
Answer: C
A project has three test cases. Three teams are formed to study the three different test cases. James is assigned to all three teams. Except for James, each researcher is assigned to exactly one team. If each team has exactly 10 members, then what is the exact number of researchers required? Choose the most appropriate option: A) 18 B) 30 C) 28 D) 24 E) 26

Solution: l   alternatively, we have   10*3-2( because james is included in all the three teams)   =28   28
Answer: C
Find the least value of 'a' so that 365a08 is divisible by 8. Choose the correct choice from the following answers:	A) 9	B) 8	C) 0.	D) 2	E) 1

Solution: Explanation:   Given, number is divisible by 8 only if 'a08' is divisible by 8.   .: Least value of a is '0'.   Answer: Option 0.
Answer: C
A small table has a length of 12 inches and a breadth of b inches. Cubes are placed on the surface of the table so as to cover the entire surface. The maximum side of such cubes is found to be 4 inches. Also, a few such tables are arranged to form a square. The minimum length of side possible for such a square is 32 inches. Find b. Choose the correct choice from the following.
A) 8
B) 16
C) 24
D) 32
E) 48

Solution: From the info that the maximum sides of the cubes is 4, we know that the GCF of 12 (=2^2*3) andbis 4 (=2^2), sob=2^x, where x>=2.   From the second premise, we know that the LCM of 12 (2^2*3) andbis 32 (2^5), sob=2^5   Combining 2 premises shows the answer is 32(32).
Answer: D
The mass of 1 cubic meter of a substance is 100 kg under certain conditions. What is the volume in cubic centimeters of 1 gram of this substance under these conditions? (1 kg =1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)  Choose the correct choice from the following answers
A) 8
B) 9
C) 10
D) 11
E) 12

Solution: 100 kg - 1 cubic meter;   100,000 g - 1 cubic meter;   100,000 g - 1,000,000 cubic centimeters;   1 g - 1,000,000/100,000 = 10/1= 
10/1 = 10
10 cubic centimeters.   Answer: 10.
Answer: C
The C.P of 5 books is equal to the S.P of 20 books. Find his gain% or loss%? Select:	A) 35%	B) 20%	C) 5%	D) 25%	E) 75%

Solution: explanation:   5 CP = 20 SP   20 --- 15 CP loss   100 --- ? => 75% loss   Answer: 75%
Answer: E
A four-digit code can consist of the digits 0 ~ 9 except that it does not contain the digits 1, 2, 4, and 6 at all. If repeated digits are allowed, what is the probability that it has at least one even digit?  Choose the correct choice:
A) 23/24  B) 31/36  C) 55/64  D) 65/81  E) 75/121

Solution: P(no even digits) = 2/3*2/3*2/3*2/3 = 16/81   P(at least one even digit) = 1 - 16/81 = 65/81   The answer is 65/81.
Answer: D
A cow and horse are bought for Rs.2,00,000. The cow is sold at a profit of 20% and the horse is sold a t a loss of 10%. The overall gain is Rs.4000, the Cost price of cow?  Choose the correct option:
A) 2	B) 3	C) 4	D) 5	E) 6

Solution: 2ns: Overall profit = 4000200000×100=2%4000200000×100=2%   By applying alligation rule, we get   2nswer:2
Answer: A
Max invested Rs. 15000 @ 10% per annum for one year. If the interest is compounded quarterly, then the amount received by Max at the end of the year will be? Choose the most appropriate option.
A) 16557.1	B) 16557.19	C) 16557.25	D) 16557.3	E) 16557.38

Solution: P = Rs. 15000; R = 10% p.a. = 2.5% per quarter; T = 1 year = 4 quarters   Amount = [15000 * (1 + 2.5/100)4]   = (15000 * (1.025)4) = Rs. 16557.19   Answer: 16557.19
Answer: B
A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?	Choose the correct choice.
A) 150m
B) 287m
C) 278m
D) 122m
E) 121m

Solution: Length of the train be ‘X’   X + 150/15 = X + 250/20   4X + 600 = 3X + 750   X = 150m   150mnswer: 150m
Answer: A
By how much does the larger root of the equation 2z^2+5z = 12 exceed the smaller root?
Choose the correct choice from the following choices:
A) 5/2
B) 10/3
C) 7/2
D) 14/3
E) 11/2

Solution: For 2z^2+5z = 12 Roots are [-5 + sqrt(25 + 96)]/4 OR [-5 - sqrt(25 + 96)]/4   = 1.5 OR -4   Hence larger root 1.5 is  1.5 - (-4)= 
 1.5 - (-4) = 5.5
5.5= 11/2 greater than smaller root (-4).   Hence option (11/2).
Answer: E
What is the area of a square with perimeter 2P ?
Pick one.
A) 16p^2  B) 4P  C) P^2/5  D) P/16  E) P^2/4

Solution: P^2/4ach side is p/2   A = (p/2)^2 = (p^2)/4   Answer P^2/4
Answer: E