MU-NLPC/Calc-aqua_rat huggingface dataset:
The average of 11 numbers is 10.8. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is
Choose the correct option:
A) 71.5  B) 11.5  C) 81.5  D) 11.5  E) 12.6

Solution: Explanation:   Middle numbers = [(10.5 x 6 + 11.4 x 6) - 10.9 x 11] = 12.6.   Answer 12.6
Answer: E
f, b, c, and d are positive integers. If the remainder is 9 when f is divided by b, and the remainder is 5 when c is divided by d, which of the following is NOT a possible value for b + d?  Choose the correct choice from the following choices
A) 20
B) 19
C) 18
D) 16
E) 15

Solution: When f is divided by b remainder is 9 that means b is greater than or equals to 10, similarly d is greater than or equals to 6.   b + d cannot be 15, hence 15 is the answer.
Answer: E
Of the teams competing in the world archery championships, sixty percent are from Europe. Half as many are from the United States and one twentieth are from Africa. What fraction of teams are from neither Europe, the US or Africa.  Select:
A) 1/20  B) 15/20  C) 13/15  D) 17/20  E) 13/17

Solution: Assume 100 total people.   60% of 100 = 60 --->Europeans   1/2 of 60 ---> 30 Americans   1/20 of 100 ---> 5 Africans   Now you would add them all up, and minus it by the total (100). 100 - 95= 5. So, 65 people out of 100 are not EU, US or Africans. 5/100 is also equal to 1/20.   So therefore, the answer is 1/20.
Answer: A
The population of a town is 8000. It decreases annually at the rate of 10% p.a. What will be its population after 2 years?
Pick
A) 5100	B) 5120	C) 5200	D) 5400	E) 6480

Solution: Formula :   ( After =100 denominator   Ago = 100 numerator)   8000 Ã— 90/100 Ã— 90/100= 6480   Answer : 6480
Answer: E
When positive integer N is divided by positive integer J, the remainder is 42. If N/J = 204.07, what is value of J?
Choose the correct choice from the following answers
A) 200
B) 400
C) 800
D) 600
E) 1200

Solution: When a number is divided by another number, we can represent it as : Dividend = Quotient * Divisor + Remainder   So, Dividend/Divisor = Quotient + Remainder/Divisor   Given that N/J = 204.07   Here 204 is the quotient.   Given that Remainder = 42   So, 204.07= 204 + 42/J   So, J = 600   Answer: 600
Answer: D
I bought two books; for Rs.470. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
Choose the correct choice from the following.
A) 274.17	B) 280.17	C) 299.17	D) 266.17	E) 279.17

Solution: x*(85/100) = (470 - x)119/100   x = 274.17   274.17nswer: 274.17
Answer: A
A certain sum is invested at simple interest at 15% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 420. Find the sum? Choose the correct choice:  A) s. 5000  B) s. 7000  C) s. 14000  D) s. 17000  E) s. 27000

Solution: Let the sum be Rs. x.   (x * 15 * 2)/100 - (x * 12 * 2)/100 = 420   => 30x/100 - 24x/100 =420   => 6x/100 = 420   => x = 7000.   ANSWER:s. 7000
Answer: B
The average of 13 numbers is 58. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?  Choose the correct choice from the following answers:
A) 72	B) 83	C) 45	D) 53	E) 64

Solution: Sum of all the 13 numbers = 13 * 58= 
13 * 58 = 754
754   Sum of the first 7 of them= 7 * 57= 
7 * 57 = 399
399   Sum of the last 7 of them= 7 * 61= 
7 * 61 = 427
427   So, the 8th number= 427 + 399 - 754= 
427 + 399 - 754 = 72
72.   72nswer:72
Answer: A
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 18 kmph and 72 kmph. In how much time will the trains cross each other?
Options:
A) 8 B) 16 C) 11 D) 12 E) 21

Solution: Relative speed = (18 + 72)* 5/18= 
(18 + 72)* 5/18 = 25
25 mps.   The time required= d/s = (100 + 100 + 200)/25   = 400/25= 
400/25 = 16
16 sec.   Answer:16
Answer: B
The population of a bacteria colony doubles every day. If it was started 9 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today? Select:
A) 512
B) 768
C) 1024
D) 2048
E) 4096

Solution: It started 9 days ago. So bacterias keep growing for 9 days+ today= 10 days   2^10= 1024   1024 is the answer
Answer: C
Sum of 3 consecutive even no.'s is 28 more than the 1st no. of the series. Find the middle no.?  Select:
A) 8  B) 13  C) 14  D) 16  E) 18

Solution: Let the numbers be x, x+2 and x+4 then   x + x+2 + x+4 = x+28   3x + 6 = x + 28   2x = 22   \inline \therefore x = 11   \inline \therefore Middle number = x + 2 = 11+2= 
11+2 = 13
13   13
Answer: B
If |3x+20|=|5x-5|, which of the following could be a value of x?	Choose the correct choice from the following options.
A) 15/8  B) 12  C) -25/8  D) 15/2  E) 25/2

Solution: 3x + 20 = 5x - 5 or 3x + 20 = -5x + 5   -2x = -25 or 8x = -15   x = 25/2 or x = -15/8   Answer: 25/2
Answer: E
The present population of a town is 1000. Population increase rate is 20% p.a. Find the population of town after 2 years?  Choose the correct choice from the following answers:
A) 1440
B) 1220
C) 1400
D) 1500
E) 1620

Solution: P = 1000   R = 20%   Required population of town = P*(1 + R/100)^T   = 1000*(1 + 20/100)^2   = 1000*(6/5)^2   = 1440(approximately)   1440nswer is 1440
Answer: A
How many numbers between 200 and 600 are divisible by 4, 5 and 6?	Choices:
A) 5 B) 6 C) 8 D) 10 E) 12

Solution: Sol.   Every such numbers must be divisible by L.C.M. of 4, 5, 6, i.e. 60.   Such numbers are 240, 300, 360, 420, 480, 540.   Clearly, there are 6 such numbers.   Answer 6
Answer: B
A pair of prime numbers that can be expressed in the form {p, (p + 6)} is deﬁned as a pair of “sexy primes.” A “sexy triplet” is a group of three primes that can be expressed in the form Q{p, (p + 6), (p + 12)}. All of the following prime numbers are the middle term of a sexy triplet EXCEPT
Choose the correct answer:
A) 11	B) 13	C) 17	D) 19	E) 23

Solution: definetly a sitter.plug in the values for middle term and calculate.We can see clearly that Q for 19 , 19+6 gives 25 which is not a prime   therefore correct answer 19
Answer: D
A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 4000. The difference between the profit shares of A and C is?
Choose the correct choice from the following answers
A) 621
B) 276
C) 236
D) 1600
E) 211

Solution: Explanation:   Ratio of investments of A, B and C is 8000 : 10000 : 12000 = 4 : 5 : 6   And also given that, profit share of B is Rs. 4000   => 5 parts out of 15 parts is Rs. 4000   Now, required difference is 6 - 4= 
6 - 4 = 2
2 parts   Required difference= 2/5 (4000) = Rs. 1600   Answer: 1600
Answer: D
In a nationwide poll, N people were interviewed. If 1/6 of them answered yes to question 1, and of those, 1/4 answered yes to question 2, which of the following expressions represents the number of people interviewed who did NOT answer yes to both questions?	Select:
A) N/10
B) 9N/10
C) 2N/3
D) 23N/24
E) 29N/30

Solution: The number of people who answered yes to both questions is (1/4)(1/6)N = N/24   The number of people who did not answer yes to both is 1 - N/24 = 23N/24   The answer is 23N/24.
Answer: D
P, Q, R enter into a partnership. P initially invests 25 lakh & adds another 10 lakhs after one year. Q initially invests 35 lakh & withdrawal 10 lakh after 2 years and R invests Rs 30 Lakhs . In what ratio should the profit be divided at the end of 3 years?  Pick one.
A) 18:19:19	B) 18:18:19	C) 19:19:18	D) 18:19:19	E) None

Solution: Solution: P:Q:R = (25*1+35*2) : (35*2 : 25*1) : (30*3)   = 95 : 95 : 90.   = 19 : 19: 18.   Answer: Option 19:19:18
Answer: C
The area of a square garden is Q square feet and the perimeter is P feet. If Q=P+32, what is the perimeter of the garden in feet?  Choose the correct choice from the following answers:
A) 32 B) 36 C) 40 D) 44 E) 48

Solution: Let x be the length of one side of the square garden.   x^2 = 4x + 32   x^2 - 4x - 32 = 0   (x-8)(x+4) = 0   x = 8, -4   P = 4(8) = 32   The answer is 32.
Answer: A
Of the science books in a certain supply room, 50 are on botany, 65 are on zoology, 90 are on physics. 50 are on geology, and 110 are on chemistry. If science books are removed randomly from the supply room, how many must be removed to ensure that 80 of the books removed are on the same science?  Choose the correct choice:
A) 81
B) 159
C) 166
D) 285
E) 324

Solution: We can remove 80 books only from physics or from chemistry. Worst case scenario would be if we remove all books on botany, zoology, geology, 79 books on physics and 79 books on chemistry.   We would have 50(botany)+65(zoology)+50(geology)+79(physics)+79(chemistry)=323 books and still won't have 80 books from the same science. As after this, only books on physics and chemistry will be left then any next book would become the 80th book either on physics or on chemistry.   Answer: 324.
Answer: E
A rectangular field has to be fenced on three sides leaving a side of
20
20 feet uncovered. If the area of the field is
680
680 sq. feet, how many feet of fencing will be required? Choose the correct choice from the following
A) 95 B) 92 C) 88 D) 82 E) 80

Solution: Area of the field=680 sq. feet.   Length of the adjacent sides are 20 feet and  680/20= 
 680/20 = 34
34feet.   Required length of the fencing=20+34+34= 
20+34+34 = 88
88 feet   ANSWER:88
Answer: C
Let f(x) = x^2 + bx + c. If f(1) = 0 and f(-5) = 0, then f(x) crosses the y-axis at what y-coordinate? Choose the most appropriate option.
A) -5
B) -1
C) 0
D) 1
E) 5

Solution: When x = 1 and when x = -5, the expression f(x) = x² + bx + c equals 0.   Then f(x) = (x-1)(x+5)   f(0) = -5   The answer is -5.
Answer: A
If it is a possible to make a meaningful word from the first, the fourth, the seventh and the ninth letters of the word PESTICIDE, then last letter of the word is your answer. If more than one such word can be formed give 'M' as your answer and if no such word can be formed give 'X' as your answer.
Choose the correct choice from the following choices
A) E B) T C) P D) M E) X

Solution: If we observe from the given word 1st=p,4th=T,7th=I,9th=X   by the combination and arrangement we cant make a word   So the answer is X   ANSWXR:X
Answer: E
If the time is currently 1:30pm, what time will it be in exactly 649 hours?
Answers:
A) 12:30am B) 1:30am C) 12:30pm D) 2:30pm E) 10:30pm

Solution: Every 24 hours will bring us to the same 1:30pm. 648 is divisible by 24 (27*24=648), so if it were 648 hours we would have 1:30pm, but since it's 648 hours then it will be 1 hour more, so 2:30pm.   Answer: 2:30pm.
Answer: D
Replace the ? mark with an appropriate approximate value in the following equation’?
7 1/2 of 265.6+15% of 2564= ? - 620.5  Choose the correct answer
A) 2297.1
B) 2997.1
C) 2557.1
D) 2937.1
E) 2992.1

Solution: 7 1/2 of 265.6+15% of 2564= ? - 620.5   15/2 of 265.6+15% of 2564= ? - 620.5   1992+384.6= ? - 620.5   1992+384.6 +620.5= 
1992+384.6 +620.5 = 2_997.1
?   ≈ 2997.1   Answer 2997.1
Answer: B
How many numbers from 2 to 11 are exactly divisible by 2?	Choose the most appropriate option: A) A)2 B) B)3 C) C)5 D) D)7 E) E)8

Solution: 2/2= 
2/2 = 1
1 and11/2= 5   5 - 1= 
5 - 1 = 4
4   4 + 1= 
4 + 1 = 5
5 Numbers.   Answer : 5
Answer: C
What two-digit number is less than the sum of the square of its digits by 12 and exceeds their doubled product by 5? Choices: A) 95 B) 99 C) 26 D) 73 E) None of the Above

Solution: Let the digits be x and y. The number would be 10x + y.   We are given that 2xy + 5 = 10x +y = x^2 y^2 -12   Thus 2xy +5 = x^2 + y^2 - 12   x^2 + y^2 -2xy = 16   (x-y)^2 = 16   (x-y) = 4 or -4   Substituting the values of (x-y) in the equation 2xy +5 = 10x + y   x comes out to be 1 or 9... thus the two numbers can be 15 or 99   Thus the answer is 99
Answer: B
Susan weighs 20 pounds more than Anna does, and together they weigh a total of 160 pounds. Which of the following represents Anna’s weight in pounds?	Choose the correct choice from the following answers.
A) 55
B) 50
C) 70
D) 65
E) 63

Solution: Total weight = 160   Anna's weight = 160-20 /2 = 70   Answer : 70
Answer: C
Daniel went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 10%, then what was the cost of the tax free items?	Choose one
A) A)19.7  B) B)20  C) C)21.3  D) D)21.7  E) E)22

Solution: Total cost of the items he purchased = Rs.25   Given that out of this Rs.25, 30 Paise is given as tax   => Total tax incurred = 30 Paise = Rs.30/100   Let the cost of the tax free items = x   Given that tax rate = 10%   ∴ (25−30/100−x)10/100 = 30/100   ⇒ 10(25 −0.3 −x) = 30   ⇒ (25 − 0.3 − x) = 3   ⇒ x = 25 − 0.3 − 3   = 21.7   21.7
Answer: D
A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
Answers:
A) 22
B) 80
C) 40
D) 77
E) 12

Solution: 800*(25/100)= 
800*(25/100) = 200
200 ---- 5   ? ---- 1=> Rs.40   Answer: 40
Answer: C
A truck traveled 200 km in 2 hours. Calculate the speed  Choose the correct choice from the following answers: A) 85 kmh B) 140 kmh C) 70 kmh D) 20 kmh E) 100 kmh

Solution: Speed= Distance/Time    200/2= 
 200/2 = 100
100   Answer: 100 kmh
Answer: E
In a class, the average age of 25 boys is 10 years and the average of 18 girls is 10 years. what is the average age of the whole class?	Choose the correct choice from the following answers:
A) 10 Years
B) 12.6 Years
C) 13 Years
D) 13.5 Years
E) 14 Years

Solution: Total age of 43 students   (25X 10+18 X 10) = 430   10 Yearsverage = 430/43= 
430/43 = 10
10 Years   10 Years)
Answer: A
Event E is defined to be rolling an even number on a 6-sided die and Event F is defined to be rolling a 1, 2 or 3. Calculate the probability of rolling a die such that events E and F occur simultaneously on a single roll of the die.
Pick:	A) 1/2	B) 1/6	C) 0	D) 5/6	E) 1

Solution: Determine if E and F are independent.   P(E|F) = the probability of event E occurring given that event F has already occurred   P(E|F) ≠ P(E) as P(E) is changed if it is given that F occurs.   Consequently, P(E∩F) ≠ P(E)P(F) since the events are not independent. As a result, P(E∩F) ≠ 1/4 = P(E)P(F)   We must use the more complex formula for finding the intersection of E and F:   P(E∩F) = P(F)P(E|F)   P(F) = the probability of event F occurring   The probability of rolling a 1, 2, or 3 is 3/6 = 1/2   P(E|F) = the probability of event E occurring given that event F has already occurred   If event F already occurred, we are limited to the numbers 1, 2, or 3. Within this range of 3 possible numbers, only one number--namely, 2--is an even number. Therefore, P(E|F) = 1/3   P(E∩F) = P(F)P(E|F) = (1/2) * (1/3) = 1/6   Answer 1/6
Answer: B
How many words can be formed by using all letters of the word “FAR”	Choose the correct choice from the following options:
A) 12	B) 24	C) 8	D) 6	E) 140

Solution: The word FAR contains 3 different letters.   Required number of words = 3p3 = 3! = (3x2x1) = 6.   Answer 6.
Answer: D
In a class, except 18 all are above 50 years.15 are below 50 years of age. How many people are there Answers:	A) 30	B) 33	C) 36	D) can not be determined.	E) none of these.

Solution: As per given statements,   15 are below 50 years of age.   except 18 all are above 50 years. means 3 are of 50 years of age.   there is no information about no of students above 50 years of age.   so total no can not be determined. ANSWER:can not be determined.
Answer: D
The MegaTek Corporation is displaying its distribution of employees by department in a circle graph. The size of each sector of the graph representing a department is proportional to the percentage of total employees in that department. If the section of the circle graph representing the manufacturing department takes up 144° of the circle, what percentage of MegaTek employees are in manufacturing?	Choose one:  A) 20%  B) 25%  C) 30%  D) 40%  E) 72%

Solution: ANSWER: 40% 144° divided by 360° equals 0.4, therefore the sector is equal to 40% of the total
Answer: D
Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 9?  Choose the correct choice from the following choices
A) 2  B) 3  C) 1  D) 6  E) 4

Solution: You should consider the worst case scenario: if you pick numbers 0, 1, 2, 3 and 4 then no two numbers out of these 5 add up to 9.   Now, the next, 6th number whatever it'll be (5,6,7,8 or 9) will guarantee that two number WILL add up to 9. So, 6 slips must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 9   Answer: 6
Answer: D
Out of 9 persons, 8 persons spent Rs. 30 each for their meals. The ninth one spent Rs. 20 more than the average expenditure of all the nine. The total money spent by all of them was  Choose the correct choice from the following:
A) Rs. 292.50
B) Rs. 292.77
C) Rs. 292.21
D) Rs. 292.19
E) Rs. 292.11

Solution: Explanation:   Let the average expenditure be Rs. x Then,   Total money spent = 9x = Rs. (9 x 32.5O) = Rs 292. 50   Rs. 292.50nswer: Rs. 292.50
Answer: A
If a - b = 3 and a(power 2) + b(power 2) = 27, find the value of ab.	Select:  A) 5  B) 9  C) 4  D) 10  E) 3

Solution: 2ab = (a(power 2) + b(power 2) - (a - b)(power 2)   = 27 - 9= 
27 - 9 = 18
18   ab= 9.   Answer is 9.
Answer: B
Ron begins reading a book at 4: 30 p.m. and reads at a steady pace of 30 pages per hour. Michelle begins reading a copy of the same book at 7: 30 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?  Answers:
A) 7: 00 p.m. B) 7: 30 p.m. C) 7: 45 p.m. D) 10: 00 p.m. E) 10: 30 p.m.

Solution: M gains 50-30= 
50-30 = 20
20 pages per hour on R   at 7:30pm 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 10:00pm   10: 00 p.m.
Answer: D
A dice is numbered from 1 to 6 in different ways.
If 1 is adjacent to 2, 4 and 6, then which of the following statements is necessarily true? Pick
A) 3 is adjacent to 8
B) 3 is adjacent to 2
C) 3 is adjacent to 5
D) 3 is adjacent to 1
E) 6 is adjacent to 8

Solution: Explanation:   If 1 is adjacent to 2, 4 and 6 then either 3 or 5 lies opposite to 1. So, the numbers 3 and 5 cannot lie opposite to each other. Hence, 3 is adjacent to 5 (necessarily).   Answer: 3 is adjacent to 5
Answer: C
If y is the smallest positive integer such that 1,260 multiplied by y is the square of an integer, then y must be	Choose the correct choice from the following:
A) 23  B) 51  C) 38  D) 35  E) 37

Solution: 1260= 2*2*3*3* 7*5= 
 7*5 = 35
35   Ans: 35
Answer: D
If 5400 mn = k^4, where m, n, and k are positive integers, what is the least possible value of m + n? Select: A) 11 B) 18 C) 20 D) 25 E) 33

Solution: k^4=5400∗mn   k^4=3^3.2^3.5^2.mn   In order to make RHS a perfect power of 4, we require it to be multiplied by 3, 2 & 5^2   mn=3.2.5^2   mn = 150 = 10 * 15 (Least possible)   Answer = 10 + 15= 
10 + 15 = 25
25   ANSWER:25
Answer: D
If x is divisible by 6, 7, and 11, which of the following must be the least multiple of x?	Answers
A) 264  B) 154  C) 66  D) 77  E) 462

Solution: If x is divisible by 6, 7, and 11, then x must be a multiple of 6, 7, and 11.   Hence,the least multiple of x will be   6*7*11= 
  6*7*11 = 462
462.   ANSW462R:462
Answer: E
20 men or 25 women can finish a work in 25 days. How many days 38 men and 15 women will take to finish this job?  Choose the correct option
A) 12days  B) 10days  C) 5days  D) 6days  E) 15days

Solution: 20 men = 25 women   Therefore, 1 women = 20/25 men = 4/5 men   15 women = 4/5 *15= 
4/5 *15 = 12
12 men   i.e. 38 men + 15 women= 38 men + 12 men = 50men   1 work done by men = 20*25   20 *25 = 50 * ?   number of days = 20 *25/50= 
20 *25/50 = 10
10days.   10days
Answer: B
Which of the following is equivalent to the pair of inequalities x + 4 > 10 and x - 2 <= 5 ?	Choose the correct choice:
A) 2 < x < 16
B) 2 <= x < 4
C) (D) 6 < x <= 7
D) (C) 2 < x <= 8
E) 4 <= x <= 16

Solution: Solution:   Let’s isolate x in both inequalities, starting with x + 4 > 10.   x + 4 > 10   x > 6   Next we isolate x in the inequality x – 2 5.   x – 2 <= 5   x <= 7   Bringing these two inequalities together we know:   6 < x <= 7   The answer is (D) 6 < x <= 7.
Answer: C
If log3(2), log3(2x - 5), log3(2x - 7/2) are in arithmetic progression, then the value of x is equal to
Choose the correct choice
A) 5
B) 4
C) 2
D) 3
E) 1

Solution: Explanation :   Using log a – log b = log(a/b) ,   => 2/(y-5) = (y-5) / (y-3.5), where y = 2x.   Solving we get, y= 4 or 8 i.e x = 2 or 3.   It can't be 2 as log of negative number is not deifned.   Answer : 3
Answer: D
The cross-section of a lake is a trapezium in shape. If the lake is 20m wide at the top and 5m wide at the bottom and the area of cross-section is 600 sq m, the depth of lake is?	Choose the correct choice from the following choices:
A) 48 m
B) 68 m
C) 46 m
D) 84 m
E) 97 m

Solution: 1/2 * d (20+5) = 600   d = 48   48 mNSWER:48 m
Answer: A
ELFA, GLHA, ILJA, _____, MLNA	Choose the most appropriate option.
A) IOH B) HTY C) YOU D) FLQ E) KLLA

Solution: The second and forth letters in the series, L and A, are static. The first and third letters consist of an alphabetical order beginning with the letter E.   ANSWKLLAR:KLLA
Answer: E
Two boys starts from the same place walking at the rate of 5 kmph and 5.5 kmph respectively in the same direction. What time will they take to be 8.5 km apart?
Choose the correct choice from the following choices.
A) 17 hr	B) 14 hr	C) 12 hr	D) 19hr	E) 23 hr

Solution: Relative speed = 5.5 - 5= 
5.5 - 5 = 0.5
0.5 kmph (because they walk in the same direction)   distance= 8.5 km   time = distance/speed=8.5/0.5= 
8.5/0.5 = 17
17 hr   17 hrnswer is 17 hr
Answer: A
There are 30 girls in hostel whose average age is decreased by 2 months, when one girl 18 yrs is replaced by a new boy.Find the age of new girl.	Choose the correct choice from the following:
A) 1 year
B) 1 year 2 months
C) 2 years 5 months
D) 5 years
E) None

Solution: Total decrease =30 * 2= 
30 * 2 = 60
60 month= 5 years   5 years
Answer: D
A thief is noticed by a policeman from a distance of 275 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes ?  Choose the correct choice from the following answers:
A) 50 meter B) 100 meter C) 175 meter D) 120 meter E) 130 meter

Solution: Explanation:   Relative speed of the thief and policeman = (11 – 10) km/hr = 1 km/hr   Distance covered in 6 minutes =   1/60∗6=1/10=100meters   So distance between them after 6 minutes = 275 - 100= 
275 - 100 = 175
175 meters   Option 175 meter
Answer: C
When a is divided by b the remainder is 13.When c is divided by d the remainder is 12.
If a,b,c,d are all positive integers then which of these may be the value of b*d?	Options:
A) 100
B) 121
C) 144
D) 169
E) 196

Solution: b has to be greater than or equal to 14   d has to be greater than or equal to 13   b*d>=14*13   Only answer choice that satisfies above inequality is 625   ANSW196R:196
Answer: E
Ravi, Ram and Raj together started a business in partnership. The ratio of their capitals is 4:5:9.If their annual profit be Rs. 30600/-. What will be Raj’s share in this profit?	Choose the correct answer
A) Rs. 8500/- B) Rs. 6800/- C) Rs. 15030/- D) Rs. 15,300/- E) None of these

Solution: Explanation:   Ravi : Ram : Raj = 4 : 5 : 9   Raj’s share = Rs(30600 * 9/18)   = Rs(30600 * 1/2)= 
(30600 * 1/2) = 15_300
15300/-   Ram’s share= (30600 * 5/18) = 1700 * 5= 
1700 * 5 = 8_500
8500/-   Ravi’s share= 6800/-   Answer: Option Rs. 15,300/-
Answer: D
A man saves Rs. 200 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years?  Choose the correct choice:
A) Rs.662.09 B) Rs.662.18 C) Rs.662.02 D) Rs.662.01 E) Rs.662.19

Solution: Amount = [200(1 + 5/100)3 + 200(1 + 5/100)2 + 200(1 + 5/100)]   = [200 * 21/20(21/20 * 21/20 + 21/20 + 1)]   = Rs.662.02   Answer: Rs.662.02
Answer: C