MU-NLPC/Calc-aqua_rat huggingface dataset:
12 men work 8 hours per day to complete the work in 10 days. To complete the same work in 8 days, working 15 hours a day, the number of men required?	Pick one
A) 5 days
B) 6 days
C) 7 days
D) 8 days
E) 10 days

Solution: That is, 1 work done = 12 × 8 × 10   Then, 12 8 × 10 = ? × 15 × 8   ? (i.e. No. of men required) = 12 × 8 × 10/15× 10 = 8 days   8 days)
Answer: D
A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ? Choose the correct choice from the following choices:
A) 90
B) 10
C) 20
D) 50
E) 80

Solution: Explanation:   Let number of notes of each denomination be x.   Then x + 5x + 10x = 480   16x = 480   x = 30.   Hence, total number of notes = 3x = 90.   90nswer is 90
Answer: A
A passenger sitting near the window in a train moving at 30 km/h, noticed that it took 3 sec. for the oncoming train to pass by. What was the speed of the oncoming train if the length of the oncoming train was 75 metres?  Choose the correct choice from the following choices:  A) a)50km/h  B) b)52km/h  C) c)56km/h  D) d)60km/h  E) e)70km/h

Solution: im getting A   3 secs to pass a 75 mts train , therefore speed = 25 meters/sec   to convert m/s to km/hrs multiply by 3.6   25*3.6= 
25*3.6 = 90
90   so its  90-30= 
 90-30 = 60
60 .   d)60km/h
Answer: D
96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part? Pick: A) 41 B) 45 C) 42 D) 14 E) 15

Solution: x/7 = y/9 => x:y = 7:9   7/16 * 96= 
7/16 * 96 = 42
42   Answer: 42
Answer: C
Solve the given two equations and find the inequality of X and Y. (a) 2x^2 + 11x + 14 = 0 and (b) 4y^2 + 12y +9 =0	Pick:
A) If x>y	B) If x>=y	C) If x < y	D) If x<=y	E) x=y or relationship cannot be established

Solution: Solution:-   X=-7/2 or -2   Y=-3/2   If x<y   If x < y)
Answer: C
A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 2%. What is the cost price? Choose the correct choice: A) s.1000 B) s.1009 C) s.1166.7 D) s.1006 E) s.1002

Solution: Explanation:   90%   102%   --------   12% ---- 140   100% ---- ? => Rs.1166.7   Answer:s.1166.7
Answer: C
If Tim had lunch at $60.50 and he gave 20% tip, how much did he spend?	Choose the most appropriate option:
A) A)$57.45  B) B)$35.42  C) C)$60.60  D) D)$21.56  E) E)$72.60

Solution: The tip is 20% of what he paid for lunch.   tip = 20% of 60.50 = (20/100)*60.50= 
(20/100)*60.50 = 12.1
$12.10   Total spent     60.50 + 12.10= 
  60.50 + 12.10 = 72.6
$72.60   correct answer is $72.60)$72.60
Answer: E
Which of the following best approximates the value of p if 5^30+3^11=5^p ?	Choose the correct choice from the following choices.
A) 39  B) 30  C) 28  D) 27  E) 17

Solution: We have: 5^30+3^11=5^p   ==> because 3^11 > 0 --> 5^p MUST be equal or greater than 5^30 ==>p MUST be equal or greater than 30   ==> Options C, D, and E are out immediately.   Divide both sides by 5^p and p >= 30   We have:   5^(30-p) + 3^11/5^p = 1   Because p >= 30 ==>3^11/5^p = 0.0000xyz, that is very small,we can ignore it.   Thus, 5^(30-p) must be approximately 1   ==> 30-p = 0 ==> p is approximately 30   30 is the answer.
Answer: B
IF
11= N
12= E
13= N
14= N
15= N
THEN 16=?  Pick one
A) I  B) J  C) K  D) L  E) N

Solution: IF   11= N... last letter of eleven   12= E.... last letter of Twelve   13= N   14= N   THEN 16=N... last letter of Sixteen   ANSWNR:N
Answer: E
After 38 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?  Pick one
A) 7 liters B) 9 liters C) 5 liters D) 2 liters E) 2 liters

Solution: Explanation:   95% ----------- 38   5% ------------ ? => 2 liters   Answer: 2 liters
Answer: D
A data set with a mean of 40 has a standard deviation of 3.5. Which of the following is the smallest number that falls within one standard deviation of the mean?
Choose the correct choice.
A) 18 B) 36 C) 59 D) 63.5 E) 65

Solution: One standard deviation of the mean is from{mean}-{deviation}=40-3.5= 
40-3.5 = 36.5
36.5 to{mean}+{deviation}=40+3.5=43.5. The smallest number within this range from the options is 36.   Answer: B.   Hope this helps.
Answer: B
A reduction of 42% in the price of bananas would enable a man to obtain 64 more for Rs.40, what is reduced price per dozen?
Pick.
A) 2.15
B) 8.15
C) 7.15
D) 3.15
E) 1.15

Solution: Explanation:   40*(42/100)= 
40*(42/100) = 84/5 = around 16.8
16.8 --- 64   ? --- 12=> Rs.3.15   Answer: 3.15
Answer: D
Departments A, B, and C have 5 employees each, and department D has 20 employees. Departments A, B, C, and D have no employees in common. A task force is to be formed by selecting 1 employee from each of departments A, B, and C and 2 employees from department D. How many different task forces are possible? Options.
A) 19,000	B) 23,750	C) 100,000	D) 190,000	E) 400,000

Solution: 5c1 * 5c1* 5c1*20c2 = 5*5*5*190=23,750. Hence 23,750 is the correct answer.
Answer: B
The average age 9 members of a committee are the same as it was 3 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number? Choose the correct choice from the following
A) 20 years  B) 27 years  C) 18 years  D) 29 years  E) 30 years

Solution: 9 * 3= 
9 * 3 = 27
27 years   Answer:27 years
Answer: B
If w,x,y,z are consecutive positive integers ; then which of the following is always even?
[1] w*x+(y+2)^2*z
[2] w^x + z^y
[3] 6z^2	Choose the correct choice from the following options:
A) 1  B) 2  C) 3  D) 1 and 2  E) 1 and 3

Solution: Plug in some numbers   w = 1   x = 2   y = 3   z = 4   Check the options -   [1] w*x+(y+2)^2*z = 1*2 + (3+2)^2 * 4 => 2 + 25*4= 
2 + 25*4 = 102
102{ Not an odd Number }   [2] w^x + z^y= 1^2 + 4^3 => 1 + 64= 
1 + 64 = 65
65{ Odd number }   [3] 6z^2=6*4^2 even   [1] and [3]   1 and 3
Answer: E
Rs. 5625 is to be divided among A, B and C so that A may receive 1/2 as much as B and C together receive and B receives 1/4 of what A and C together receive. The share of A is more than that of B by
Select
A) 237 B) 279 C) 271 D) 750 E) 112

Solution: A + B + C = 5625   \inline B=\frac{1}{4}(A+C) \Rightarrow A+C =4B   \inline \therefore 4B + B = 5625   B = 1125   Also A + C = 4B = 4 x 1125 = 4500   Also \inline A=\frac{1}{2}(B+C)\Rightarrow B+C= 2A   B = 2A - C   \inline \therefore 2A - C = 1125   Now solving A+C = 4500 and 2A-C = 1125   Then A = 1875 and C = 2625   \inline \therefore A-B = 1875 - 1125 = Rs. 750   Answer:750
Answer: D
Find the compound interest accrued on an amount of Rs.14,800 at 13.5% p.a at the end of two years. (Round off your answer to nearest integer?	Choose one:
A) 2388
B) 2799
C) 2877
D) 4266
E) 2881

Solution: CI = 14800{ [ 1 + 13.5/100]2 - 1 }   = 14800 { [1 + 27/200]2 - 1   = 14800 { 2 + 27/200}{27/200}   = (74)[2 + 27/200](27) =   1998[2 + 27/200] = 3996 + 269.73 = Rs. 4266.Answer:4266
Answer: D
A library has an average of 425 visitors on Sundays and 325 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is :	Choose the correct option.
A) 140 B) 240 C) 260 D) 280 E) 340

Solution: 340xplanation:   Since the month begins with a Sunday, so there will be five Sundays in the month,   Required average = (415 * 5 + 325 * 25) / 30 = 10200/30= 
10200/30 = 340
340   Answer: 340) 340
Answer: E
A dog breeder would like to make the largest profit off of his latest litter of puppies. Puppies with more than 4 spots sell for more money. The last litter had 10 puppies; 6 had 5 spots, 3 had 4 spots, and 1 had 2 spots. What % of puppies can the dog breeder expect to sell for a greater profit?
Choose the correct choice from the following answers
A) 90 % B) 65 % C) 50 % D) 85 % E) 80 %

Solution: Number of dogs with profitable spots = (6 + 3)   = 6 + 3= 
6 + 3 = 9
9   Now, we need to calculate 9 is what percent of 10.=> 9/10 * 100= 
9/10 * 100 = 90
90 %   90 %
Answer: A
A secret can be told to only 2 persons in 3 minutes. Each person in turn tells 2 other persons in the next 3 minutes and the processes continues accordingly. In 30 minutes how many persons can be told this secret in this way?	Select
A) 1024
B) 2046
C) 512
D) 4096
E) 5096

Solution: 2^1 + 2^2 + 2^3 + 2^4 + ..............+2^10 = 2(2^10 - 1)/(2-1)   = 2*1023= 
2*1023 = 2_046
2046   ANSWER:2046
Answer: B
Compound X contains elements A and B at an approximate ratio, by weight, of 2:10. Approximately how many grams of element B are there in 324 grams of compound X?
Choose one:
A) 54
B) 162
C) 250
D) 270
E) 322

Solution: total number of fractions =2+10= 
2+10 = 12
12   element B constitutes=10 out of 12 parts of X   So in 324 gms of X have 324*10/12= 
324*10/12 = 270
270 gms of B   and  324-270= 
 324-270 = 54
54 gms of A.   cross check:- A/B= 54/270 =2/10 (as given)   Ans 270
Answer: D
Two trains of equal lengths take 10 sec and 12 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction? Select: A) 22 B) 12 C) 77 D) 99 E) 11

Solution: Speed of the first train = 120/10= 
120/10 = 12
12 m/sec.   Speed of the second train= 120/12= 
120/12 = 10
10 m/sec.   Relative speed= 12 + 10= 
12 + 10 = 22
22 m/sec.   Required time= (120 + 120)/22 = 11 sec.   Answer: 11
Answer: E
What is the median from the below series 90, 90, 93, 88, 95, 88, 97, 87, and 98	Choose the correct choice from the following
A) 80  B) 85  C) 90  D) 97  E) 100

Solution: Ordering the data from least to greatest, we get:   87, 88, 88, 90, 90, 93, 95, 96, 98   The median quiz score was 90. (Four quiz scores were higher than 90 and four were lower.)   90
Answer: C
In 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 10 percent, but profits were 15 percent of revenues. The profits in 2009 were what percent of the profits in 2008?	Choose the most appropriate option.
A) 80%  B) 105%  C) 135%  D) 124.2%  E) 138%

Solution: the profit 0f 2009 in terms of 2008 = 0.9*15/10*100= 
0.9*15/10*100 = 135
135%   135%
Answer: C
A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Pick one
A) 7 B) 6 C) 8 D) 9 E) 2

Solution: Speed of train relative to man = (60 + 6) km/hr = 66 km/hr   [66 * 5/18] m/sec = [55/3] m/sec.   Time taken to pass the man = [110 * 3/55= 
110 * 3/55 = 6
6 sec   Answer: 6
Answer: B
A man rides at the rate of 20km/hr. But stops 20minutes to change horses at the end of every 30th kilometer. How long will he take to go a distance of 120 kilometers?  Options.
A) 5hr
B) 6hr 30min
C) 8hr 10min
D) 7hr
E) 9hr

Solution: speed of man = 20km/hr   number of rests = (120/30)-1= 
(120/30)-1 = 3
3   time taken for the man= (120/20)+3*(20/60)= 
(120/20)+3*(20/60) = 7
7 hr   Answer is 7hr
Answer: D
What is the difference between the local values of 2 in the number 52402?	Answers:
A) 2992  B) 2997  C) 2877  D) 2077  E) 1998

Solution: 1998xplanation:   2000 â€“ 2 = 1998   Answer:1998
Answer: E
At a particular graduation party with 300 guests, 70% of the guests brought gifts, and 40% of the female guests brought gifts. If 45 males did not bring gifts to the party, how many females did bring gifts?  Choose the most appropriate option
A) 18  B) 30  C) 42  D) 68  E) 70

Solution: the correct method   total = 300..   70% of 300 = 210 got gifts..   90 did not get gift, out of which 48 are males, so remaining 90-45=50 are females..   But 40% females brought gift, so 60% did not get it..   so 60% = 45, 100%= 45*100/60= 75..   ans 40% of 75 =30   30
Answer: B
What is the positive difference between the sum of the squares of the first 6 positive integers and the sum of the prime numbers between the first square and fourth square?
Options:
A) 11	B) 12	C) 13	D) 14	E) 50

Solution: Forget conventional ways of solving math questions. In PS, IVY approach is the easiest and quickest way to find the answer.   the sum of the squares of the first 4 positive integers = 1^2 + 2^2 + 3^2 +4^2+5^2+6^2 = 91   the sum of the prime numbers between the first square(=1) and fourth square(=16) = 2+3+5+7+11+13= 
2+3+5+7+11+13 = 41
41.   So the difference between 41 and 91 is 50.   So the answer is (50).
Answer: E
The sum of three numbers is 147. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8,then the second number is :	Answers:
A) 20	B) 30	C) 38	D) 45	E) None of these

Solution: A : B = 2 : 3 = 2 × 5 : 3 × 5 = 10 : 15   and B : C = 5 : 8 = 5 × 3 : 8 × 3 = 15 : 24   Therefore, A : B : C = 10 : 15 : 24   ∴ A : B : C = 10 : 15 : 24   Let the number be 10x, 15x and 24x.   Then, 10x + 15x + 24x = 147   or 49x = 147 or x = 3   ⇒ Second number = 15x = 15 × 3 = 45   Answer 45
Answer: D
The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 80 with him, what was the average amount with the group before his joining the group?  Answers:
A) s.12
B) s.10
C) s.15
D) s.29
E) s.19

Solution: Total members in the group = 7   Average amount = Rs. 20   Total amount with them = 7 * 20 = Rs. 140   One number has Rs. 80. So, the amount with remaining 6 people = 140 - 80 = Rs. 60   The average amount with them = 60/6   = Rs.10.   Answer:s.10
Answer: B
Raman mixed 54 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction? Choose the correct answer:
A) 129  B) 287  C) 196  D) 188  E) 112

Solution: Explanation:   CP per kg of mixture = [54(150) + 36(125)]/(54 + 36) = Rs. 140   SP = CP[(100 + profit%)/100]   = 140 * [(100 + 40)/100] = Rs. 196.   Answer:196
Answer: C
The Guests at a football banquet consumed a total of 325 pounds of food. if no individual guest consumed more than 2 pounds of food, What is the minimum number of guests that could have attended the banquet? Choose one:	A) 160	B) 161	C) 162	D) 163	E) 164

Solution: To minimize one quantity maximize other.   162*2 (max possible amount of food a guest could consume) = 324 pounds, so there must be more than 162 guests, next integer is 163.   Answer: 163.
Answer: D
1, 1, 3, 9, 11, 121,?	Choose the correct option:
A) 122 B) 123 C) 124 D) 125 E) 126

Solution: 1^2 = 1 ......... 1+2 = 3   3^2 = 9 ....... 9+2 = 11   11^2 = 121 ...... 121+2 = 123   ANSWER:123
Answer: B
A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. Such a least possible number K is Choose the correct choice from the following answers:
A) 74
B) K=75
C) K=175
D) K=680
E) 690

Solution: I solved this question by plugging in numbers from the answer choices.   A.) 74   Starting with answer choice A, I immediately eliminated it because 74 is not even divisible by 5.   B.) 75   I divide 75/5 and get 15 as an answer. I divide 75/34 and get a remainder of 7.   15-7= 
15-7 = 8
8 so I know the correct answer isK=75
Answer: B
If a and b are each greater than x and y, which of the following must be true?
I. ab > xy
II. a + b > x + y
III. |a| + |b| > |x| + |y|
Choose the correct choice from the following options.
A) I only	B) II only	C) I and II	D) I and III	E) I, II and III

Solution: I. a + b > x + y. Since a and b are each greater than x and y, then the sum of a and b will also be greater than the sum of x and y.   II. ab > xy. Not necessarily true, consider a = b = 0 and x = y = -1 --> ab = 0 < 1 = xy.   III. |a| + |b| > |x| + |y|. Not necessarily true, consider a = b = 0 and x = y = -1 --> |a| + |b| = 0 < 2 = |x| + |y|.   Answer: II only.
Answer: B
A train leaves Delhi at 9 a.m. at a speed of 35 kmph. Another train leaves at 2 p.m. at a speed of 40 kmph on the same day and in the same direction. How far from Delhi, will the two trains meet?  Pick one:
A) 229  B) 288  C) 600  D) 888  E) 1400

Solution: D = 35 * 5= 
35 * 5 = 175
175   RS= 40 – 35 = 5   T = 175/5= 
175/5 = 35
35   D= 40 * 35= 
40 * 35 = 1_400
1400 km   Answer: 1400
Answer: E
How many zeros does 1000! end with?
Choose the correct option.
A) 20o B) 24o C) 249 D) 30o E) 325

Solution: According to above 1000! has 1000/5+1000/25+1000/125+1000/625=200+40+8+1= 
200+40+8+1 = 249
249 trailing zeros.   Answer: 249
Answer: C
A shopkeeper purchased 77 kg of potatoes for Rs. 539 and sold the whole lot at the rate of Rs. 8.50 per kg. What will be his gain percent? Choices:
A) 18 1/9 % B) 28 9/3 % C) 28 1/3 % D) 32 1/3 % E) 21 3/7 %

Solution: C.P. of 1 kg = 539/77 = Rs. 7S.P. of 1 kg = Rs. 8.50Gain % = 1.50/7 * 100 = 150/7 = 21 3/7 %Answer: 21 3/7 %
Answer: E
In a competitive examination in batch A, 8% candidates got selected from the total appeared candidates. batch B had an equal number of candidates appeared and 12% candidates got selected with 50 more candidates got selected than A. What was the number of candidates appeared from each batch? Choose the most appropriate option:
A) 1200 B) 650 C) 281 D) 587 E) 5000

Solution: Batch A and Batch B had an equal number of candidates appeared.   In Batch A, 8% candidates got selected from the total appeared candidates   In Batch B, 12% candidates got selected from the total appeared candidates   But in Batch B, 50 more candidates got selected than State A   From these, it is clear that 1% of the total appeared candidates in State B = 50   => total appeared candidates in Batch B = 50 x 100 = 5000   => total appeared candidates in Batch A = total appeared candidates in Batch B = 5000   Answer : 5000
Answer: E
Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 162. If the ratio of his marks in English and Maths is 4:5, find his marks in Science?  Choices.
A) 10.9  B) 20.9  C) 30.9  D) 35  E) 45

Solution: S:E = 1:3   E:M = 4:5   ------------   S:E:M = 4:12:15   4/31 * 162 = 20.9   ANSWER:20.9
Answer: B
A group of 4 doctors and 2 nurses recently frequented the Lolly's Restaurant. The total bill for the meal, including 20% gratuity, came to $1440. On average, how much did the meal of each individual cost before gratuity?  Select the correct option:
A) $160	B) $60	C) $200	D) $80	E) $55

Solution: 4 doctors and 2 nurses - so total 6 people   The bill $1440 includes 20% gratuity... so the actual cost of dinner was $1200   Now, the cost per person will be $1200/6 which is $200   Option $200
Answer: C
If an item that originally sold for z dollars was marked up by x percent and then discounted by y percent, which of the following expressions W represents the final price of the item?	Select the correct option.
A) W=(10,000z + 100z(x – y) – xyz)/10,000
B) W=(10,000z + 100z(y – x) – xyz)/10,000
C) W=(100z(x – y) – xyz)/10000
D) (100z(y – x) – xyz)/10000
E) 10000 /(x – y)

Solution: -W=(10,000z + 100z(x – y) – xyz)/10,000-   z=Original Price   x=MU   y= MD   New price with MU:   z(x/100+1)   New price with MD:   z[(x/100+1)(-y/100+1)]   Solvingâ€¦   =z[((x+100)/100)((-y+100)/100)]   =z(x100-xy+10000-100y)/10000   =(zx100-xyz+10000z-100yz)/10000 --> similar to W=(10,000z + 100z(x – y) – xyz)/10,000
Answer: A
A scale 10 ft. 5 inches long is divided into 5 equal parts. Find the length of each part.	Choose the most appropriate option:
A) 25 inches  B) 77 inches  C) 66 inches  D) 97 inches  E) 66 inches

Solution: Explanation:   Total length of scale in inches = (10*12) + 5= 
(10*12) + 5 = 125
125 inches   Length of each of the 5 parts= 125/5= 
125/5 = 25
25 inches   25 inchesNSWER:25 inches
Answer: A
If the sales tax reduced from 3 1/2 % to 3 1/3%, then what difference does it make to a person who purchases an article with market price of Rs. 6600 ?
Pick one
A) 11	B) 13	C) 14	D) 18	E) 10

Solution: Required difference = [3 ½ % of Rs.6600] – [3 1/3 % of Rs.6600]   = [(7/20-(10/3)]% of Rs.6600 =1/6 % of Rs.6600   = Rs. [(1/6)8(1/100)*6600] = Rs. 11.   11nswer is 11.
Answer: A
Linda and Angela contract to paint a neighbor's house. Even though Linda spends 70% more time painting the house than Angela, each receives a payment of m dollars when the work is completed. If Angela decides to pay Linda n dollars so that they would have received the same compensation per hour worked, what is n in terms of m ?	Choose the most appropriate option
A) 1/7 m B) 1/3 m C) 1/4 m D) 1/5 m E) 1/6 m

Solution: After the final transaction:   Angela received $(m-n) for t hours;   Linda received $(m+n) for 1.5t hours;   We are told that after that transaction they received the same compensation per hour: (m-n)/t=(m+n)/1.5t --> 1.5m-1.5n=m+n -->m=5n --> n=m/7.   1/7 mnswer: 1/7 m.
Answer: A
A room contains 150 people, 12 percent of whom are women. A group of people, 30 percent of whom are women, leaves the room. Of the people remaining in the room, 10 percent are women. How many people left the room?	Select the correct option: A) 40 B) 50 C) 60 D) 70 E) 80

Solution: Say group of x people left the room.   # of women in the room was 0.12*150= 
0.12*150 = 18
18;   # of women in the group that left 0.15x;   # of women in the room after the group left it is 0.1(150-x);   So, 18-0.15x= 0.1(150-x) --> x=60.   Answer: 60.
Answer: C
Cole drove from home to work at an average speed of 75 kmh. He then returned home at an average speed of 105 kmh. If the round trip took a total of 2 hours, how many minutes did it take Cole to drive to work?	Answers.
A) 66
B) 70
C) 72
D) 75
E) 78

Solution: Let the distance one way be x   Time from home to work = x/75   Time from work to home = x/105   Total time = 2 hrs   (x/75) + (x/105)= 2   Solving for x, we get x = 175/2   Time from home to work in minutes= (175/2)*60/75= 
(175/2)*60/75 = 70
70 minutes   Ans= 70
Answer: B
Murali travelled from city A to city B at a speed of 40 kmph and from city B to city C at 60 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 3?  Choose the correct option.
A) 50 kmph
B) 520 kmph
C) 56 kmph
D) 59 kmph
E) 53 kmph

Solution: A   50 kmph   Let the distances between city A to B and B to C be 2x km and 3x km respectively.   Total time taken to cover from 50 kmph to C   = (2x)/40 + (3x)/60 = (6x + 6x)/120 = 12x/120 = x/10 50 kmphverage speed = (2x + 3x)/(x/10) = 50 kmph.
Answer: A
A 15 by 20 rectangle is inscribed in circle. What is the circumference of the circle?  Answers.
A) 5π  B) 10π  C) 15π  D) 20π  E) 25π

Solution: The diagonal of the rectangle will be the diameter of the circle.   and perimeter= 2*pi*r   Ans: 25π
Answer: E
A shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 400. Find the total worth of the stock?	Select the correct option.
A) 20088  B) 20000  C) 67892  D) 28826  E) 25781

Solution: Let the total worth of the stock be Rs. x.   The SP of 20% of the stock = 1/5 * x * 1.1 = 11x/50   The SP of 80% of the stock = 4/5 * x * 0.95 = 19x/25 = 38x/50   Total SP = 11x/50 + 38x/50 = 49x/50   Overall loss = x - 49x/50 = x/50   x/50 = 400 => x = 20000   Answer: 20000
Answer: B
At what angle the hands of a clock are inclined at 15 minutes past 5? Choose the correct choice from the following answers
A) 65° B) 67.8° C) 67.5° D) 69.5° E) 67.2°

Solution: Hence the angle   =30(5-15/5)+15/2   =30(5-3)+7.5   =30 X 2 + 7.5+=67.5 °   Answer 67.5°
Answer: C
There are some goats in James farm. If they don't die for any reason James can make new farm in 6 years with baby goat and older goats. But goats die for many reason, if no baby goats are born the farm will be empty in 12 years. If new babies are born and older die in same time , how many time needed for make a new farm?
Choose the correct answer.
A) 10  B) 15  C) 5  D) 12  E) 20

Solution: Goats die in every year = 1/12   Goats born in every year = 1/6   Total growth in every year = 1/6 - 1/12 = 1/12   So James can make a new farm in = 12 years   ANSWER:12
Answer: D
The population of a town increases 10% and 20% respectively in two consecutive years. After the growth the present population of the town is 1320. Then what is the population of the town 2 years ago?	Select:
A) 1100 B) 1001 C) 1010 D) 1000 E) 1002

Solution: Explanation:   Formula: (After =100 denominator   Ago = 100 numerator)   1320 * 100/110 * 100/120= 
1320 * 100/110 * 100/120 = 1_000
1000   Answer: Option 1000
Answer: D