MU-NLPC/Calc-aqua_rat huggingface dataset:
An amount of money is to be divided between P, Q and R in the ratio of 3:7:12. If the difference between the shares of P and Q is Rs.2800, what will be the difference between Q and R's share?  Pick one.
A) 2788  B) 3500  C) 7282  D) 2782  E) 2729

Solution: 4 --- 2800   5 --- ? => 3500   Answer:3500
Answer: B
A father was as old as his son's present at the time of your birth. If the father's age is 38 years now, the son's age 5years back was?  Choose the correct choice from the following answers:	A) 10 years	B) 12 years	C) 14 years	D) 16 years	E) 20 years

Solution: Let the son's present age be x years. Then, (38 - x) = x   2x = 38.   x = 19.   Son's age 5 years back (19 - 5)= 
(19 - 5) = 14
14 years.   14 years
Answer: C
On average, the bottle-nosed dolphin comes up for air once every four minutes; the beluga whale, a close relative, comes up for air on average once every six minutes. The number of times a bottle-nosed dolphin would come up for air in a 24 hour period is approximately what percent greater than the number of times a beluga whale would come up for air in that same period? Select:
A) 50% B) 100% C) 150% D) 200% E) 250%

Solution: Dolphin once in 4 min;   Beluga once in 6 min;   So, dolphin comes up 1.5 times frequently than beluga, which is 100% (6-4)/2*100.   Answer: 100%.
Answer: B
What is the sum of all the composite numbers up to 8?  Select
A) 16 B) 6 C) 10 D) 12 E) 6

Solution: Explanation:   4 + 6+8 = 16   16nswer: 16
Answer: A
The mean of (54,822)^2 and (54,824)^2 =
Pick one
A) (54,821)^2  B) (54,821.5)^2  C) (54,820.5)^2  D) (54,823)^2 + 1  E) (54,821)^2 – 1

Solution: 54822^2 = (54823-1)^2 = 54823^2 + 1^2 - 2*54823*1   54824^2 = (54823+1)^2 = 54823^2 +1^2 + 2*54821*1   Taking the average of above 2 , we get (54823)^2 +1   hence the answer is (54,823)^2 + 1
Answer: D
A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania's intelligence agency has recently captured a message from the country Gonzalia indicating that an electronic transmitter has been installed in a Kerrania government vehicle with a license plate starting with 79. If it takes the police 40 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within three hours?
Choose the correct answer.
A) 18/79	B) 1/200	C) 1/25	D) 1/50	E) 1/900

Solution: So there are 900 cars that they have to search.. Each takes 40mins, total of 36000 mins.. Have to find in 180 mins.. Prob180/36000 = 1/200 (ANSWER 1/200)
Answer: B
Tina has 12 shirts and 9 pants. How many clothing combinations does Barbara have, if she doesn’t wear 5 specific shirts with 3 specific pants?	Choose the correct choice from the following options:
A) 93
B) 66
C) 36
D) 85
E) 108

Solution: Total no of combinations available is= 12 shirts X 9 pants = 108   Eliminate the 5 shirts X 3 pants combo = 15 which gives.......>> 108-15= 
108-15 = 93
93   93NSWER:93
Answer: A
The contents of a certain box consist of 14 apples and 12 oranges. How many oranges must be removed from the box so that 70 percent of the pieces of fruit in the box will be apples?	Choices.
A) 3  B) 6  C) 14  D) 17  E) 20

Solution: The objective here is that 70% of the fruit in the box should be apples.   Now, there are 14 apples at start and there is no talk of removing any apples, so number of apples should remain 14 and they should constitute 70% of total fruit, so total fruit = 14/0.7= 
14/0.7 = 20
20   So we should have 20-14= 
20-14 = 6
6 oranges.   Right now, there are 12 oranges, so to get to 6 oranges, we should remove 12 - 6= 
12 - 6 = 6
6 oranges.   Answer 6
Answer: B
X and Y put in 3,000 and 4,000 respectively into a business. X reinvests into the business his share of the first year?s profit of 2,100 whereas Y does not reinvest. In what ratio should they share the second year?s profit? Pick one:  A) 39 : 40  B) 3 : 4  C) 3 : 7  D) 40 : 79  E) None of these

Solution: For first year, ratio of profit = 3 : 4   X?s profit of first year = 3?7 � 2100 = 900   Now, for second year,Now, for second year,   ratio of profit = 3000 � 12 + 900 � 12 : 4000 � 12   = 46800 : 48000 = 39 :40   39 : 40nswer 39 : 40
Answer: A
One computer can upload 100 megabytes worth of data in 3 seconds. Two computers, including this one, working together, can upload 1300 megabytes worth of data in 30 seconds. How long would it take for the second computer, working on its own, to upload 100 megabytes of data?  Choose the correct choice from the following answers:
A) 6
B) 10
C) 9
D) 11
E) 13

Solution: Since the first computer can upload 100 megabytes worth of data in 3 seconds then in   3*10= 
  3*10 = 30
30 seconds it can upload   10*100= 
  10*100 = 1_000
1000 megabytes worth of data, hence the second computer in 30 seconds uploads   1300-1000= 
  1300-1000 = 300
300 megabytes worth of data. The second computer can upload 100 megabytes of data in 10 seconds.   Answer: 10.
Answer: B
Liz drove from point A to point B at 40 Km/h. On her way back she drove at 50 Km/h and therefore her way back lasted one hour less. What is the distance (in Km) between A and B?	Choose the correct choice from the following options:
A) 150
B) 200
C) 450
D) 500
E) 600

Solution: Distance is same   S1t1=s2t2   40t= 50 (t-1)   t=5   distance= speed *time    40*5= 
 40*5 = 200
200   ANSWER:200
Answer: B
Pipe A can fill a tank in 12 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes?  Choose the correct choice from the following answers: A) 18 B) 27 C) 98 D) 27 E) 36

Solution: Let the pipe B be closed after x minutes.   30/12 - x/24 = 1 => x/24 = 30/12 - 1 = 3/2   => x = 3/2 * 24= 
3/2 * 24 = 36
36.   Answer:36
Answer: E
Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are
Choose the correct choice from the following:
A) 42,30
B) 42,31
C) 42,32
D) 42,33
E) 42,55

Solution: Explanation:   Let their marks be (x+9) and x.   Then, x+9 = 56/100(x + 9 +x)   => 25(x+9)   => 14 (2x + 9)   => 3x = 99   => x = 33.   So, their marks are 42 and 33   Answer: Option 42,33
Answer: D
In a throw of coin what is the probability of getting tails.
Choose the correct choice from the following:
A) 1  B) 2  C) 1/2  D) 0  E) None of these

Solution: Explanation:   Total cases = [H,T] - 2   Favourable cases = [T] -1   So probability of geƫng tails = 1/2   Answer: 1/2
Answer: C
A person's present age is one-fifth of the age of his mother. After 8years, he will be one - half of the age of his mother. How old is the mother at present ? Choices:  A) A)25  B) B)44  C) C)32  D) D)45  E) E)40

Solution: Let the mother's present age be x years   Then the person's present age = 2x/5   (3x/5)+8 = 1/2(x+8)   2(3x+40) = 5 (x+8)   x = 40   Answer is 40
Answer: E
If a fair coin is tossed six times, what is the probability of getting exactly four heads in a row? Select:
A) 5/64	B) 3/32	C) 3/16	D) 3/8	E) 1/8

Solution: Let X represent either H or T (it doesn't matter which).   P(HHHHTX) = 1/32   P(THHHHT) = 1/64   P(XTHHHH) = 1/32   The sum of these three probabilities is 5/64   The answer is 5/64.
Answer: A
The average of 35 students in a class is 16 years. The average age of 21 students is 14. What is the average age of remaining 14 students?	Pick.
A) 79 years
B) 18 years
C) 19 years
D) 19 years
E) 13 years

Solution: Sum of the ages of 14 students   = (16 * 35) - (14 * 21) = 560 - 294= 
560 - 294 = 266
266   Required average= (266/14)= 
(266/14) = 19
19 years.   Answer:19 years
Answer: D
An uneducated retailer marks all his goods at 60% above the cost price and thinking that he will still make 25% profit, offers a discount of 25% on the marked price. What is his actual profit on the sales?  Choices.
A) 20 %	B) 13.50 %	C) 14 %	D) 14.50 %	E) None

Solution: Sol.   Let C.P. = Rs. 100. Then, marked price = Rs. 160.   S.P. = 75% of Rs. 160 = Rs. 120.   ∴ Gain% = 20%.   20 %nswer 20 %
Answer: A
If x < z < -1, which of the following is true?  Pick one
A) x/z > xz	B) z/x > x+z	C) z/x > xz	D) z/x < x+z	E) z/x > x/z

Solution: Consider :   x= -3   z= -2   then put for every option. U'll get ans z/x > x+z.
Answer: B
The profit earned by selling an article for $ 832 is equal to the loss incurred when the same article is sold for $ 448. What should be the sale price for making 40% profit? Choose the correct choice from the following answers.
A) $480 B) $450 C) $896 D) $870 E) $660

Solution: Let C.P. = $ x.   Then, 832 - x = x - 448   2x = 1280 => x = 640   Required S.P. = 140% of $ 640 = $ 896.   $896
Answer: C
The average age of 60 students in a class is 10years. If teacher's age is also included then average increases 1year then find the teacher's age?	Pick one:
A) 71	B) 65	C) 61	D) 45	E) 36

Solution: Total age of 50 students = 60*10= 
60*10 = 600
600   Total age of 51 persons= 61*11= 
61*11 = 671
671   71ge of teacher= 671-600= 
671-600 = 71
71years   71nswer is 71
Answer: A
In a three digit number, the hundred digit is 2 more than the tens digit and the units digit is 2 less than the tens digit. If the sum of the digits is 15, find the number?  Choices: A) 867 B) 864 C) 753 D) 946 E) 549

Solution: 753   753   Let the three digit numbers be 100a + 10b + c   a = b + 2   c = b - 2   a + b + c = 3b = 15=> b = 5   So a = 7 and b = 3   Hence the three digit number is: 753
Answer: C
How many pieces of 0.36 meteres can be cut from a rod 26.5 meteres long	Select:	A) 30	B) 40	C) 50	D) 60	E) 73

Solution: Explanation:   We need so simple divide 26.5/0.36,   =(2650/36) = 73   Option 60
Answer: D
man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?	Choose the correct choice:
A) 12
B) 22
C) 30
D) 88
E) 13

Solution: US = 25   DS = 35   M = (35 + 25)/2= 
(35 + 25)/2 = 30
30   Answer:30
Answer: C
A man bought 6 pencils for Rs 5 and sold them at 5 pencils for Rs. 6. Calculate his gain percentage  Select:	A) 78	B) 26	C) 44%	D) 43	E) 82

Solution: Explanation:   No explanation is available for this question!   ANSWER:44%
Answer: C
When 30 is subtracted from a number, it reduces to seven-twelve of the number. What is the sum of the digit of the number	Choose the correct choice from the following options:  A) 40  B) 44  C) 46  D) 48  E) 72

Solution: Explanation:   Let the number be x. Then,   x -30 = 7x/12 => x - 7x/12 = 30   5x/12 = 30 => x = 72   Answer: Option 72
Answer: E
A line of 24 children walk single file down the 54-meter hallway of their school at a speed of 20 meter/min. If each child takes up 1/4 meter of space in line, how long does it take for all of them to traverse the full length of the hallway?  Choices:  A) 1 min  B) 2 min  C) 3 min  D) 4 min  E) 5 min

Solution: 3 min   3 min   d = 24 * 1/4 m + 54 m = 60 m   T = 60 meters / 20 meters/min = 3 min
Answer: C
Each of 16 individuals is to be given an identifying code consisting of one or more distinct digits in ascending order. What is the minimum number of distinct digits needed to give each individual a unique code?
Options:
A) 3 B) 4 C) 5 D) 6 E) 7

Solution: TWO WAYS-   1) we can do by looking at choices too   3-digits   since 3 is the lowest lets see how many can be nad ewith 3..   1) single digit - 3   2) 2 digits - different digits - 3*2/2 = 3.... 12,13,23   3) 3-digits - 123 - only 1   total = 3+3+1 =7...   4-digits   1) single digit - 4   2) 2 digits - different digits - 4*3/2 = 6.... 12,13,14,23,24,34   3) 3-digits - 4*3*2/3! = 4   4) 4-digits - 4*3*2/4! = 1   Total = 4+6+4+1= 
4+6+4+1 = 15
15   so 5 should be the answer   ANSWER:5
Answer: C
If it was two hours later, it would be half an hour as long until midnight as it will be if it were an hour later. What is the time now? Choose one
A) 9.10 pm B) 7.00 pm C) 9.00 pm D) 8.00 pm E) 9.30 pm

Solution: Let the present time be x, the time after one hour is (x+1) and the time after two hours is (x+2), the time at mid night is 12   The time from one hour later to midnight is 12-(x+1)   The time from two hours later to midnight is 12-(x+2)   Given, the time from one hour later is twice of the time from two hours later,   12-(x+1) is twice of 12-(x+2)   12-x-1 = 24-2x-4   x=9   The present time is 9.00 pm   The time after one hour is 10.00 pm( two hours to 12) and the time after two hours is 11.00 pm( one hour to midnight)   The answer is 9.00 pm   ANSWER:9.00 pm
Answer: C
If a and b are the two values of t that satisfy
the equation t^2 â€“ 8t + 12 = 0, with a > b, what is the value of a â€“ b?	Choose the correct choice from the following choices: A) 2 B) 4 C) 6 D) 8 E) 10

Solution: Factor the left side of the equation:   t^2 â€“ 8t + 12 = 0   (t â€“ 2)(t â€“ 6) = 0   t = 2, t = 6   Thus, a = 6 and b = 2. So a â€“ b = 6 â€“ 2 = 4.   The answer is 4.
Answer: B
Statements: Population increase coupled with depleting resources is going to be the scenario of many developing countries in days to come.
Conclusions:
1) The population of developing countries will not continue to increase in future.
2) It will be very difficult for the governments of developing countries to provide its people decent quality of life.
Choose the correct choice from the following options:
A) Only conclusion I follows  B) Only conclusion II follows  C) Either I or II follows  D) Neither I nor II follows  E) Both I and II follow

Solution: The fact given in I is quite contrary to the given statement. So, I does not follow. II mentions the direct implications of the state discussed in the statement. Thus, II follows.   Only conclusion II follows
Answer: B
A began business with Rs.45000 and was joined afterwards by B with Rs.27000. When did B join if the profits at the end of the year were divided in the ratio of 2:1?  Options
A) 1 B) 6 C) 7 D) 8 E) 2

Solution: 45*12 : 27*x = 2: 1   x = 10   12 -10= 
12 -10 = 2
2   Answer: 2
Answer: E
In a school of 450 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?  Choose the correct choice from the following choices:
A) 72
B) 75
C) 80
D) 81
E) 90

Solution: 44 + 28 + 10= 
44 + 28 + 10 = 82
82%   100 – 82= 18%    450 * 18/100= 
 450 * 18/100 = 81
81   ANSWER:81
Answer: D
An bus covers a certain distance at a speed of 230 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of?
Select:
A) 690 km/hr
B) 720 km/hr
C) 730 km/hr
D) 750 km/hr
E) 760 km/hr

Solution: Distance = (230 x 5) = 1150 km.   Speed = Distance/Time   Speed = 1150/(5/3) km/hr. [We can write 1 hours as 5/3 hours]   Required speed = 1150 x 3 km/hr = 690 km/hr.   690 km/hr
Answer: A
For any non-zero a and b that satisfy |ab| = ab and |a| = -a
|b - 4| + |ab + b| = ? Pick
A) a) ab - 4  B) b) 2b - ab - 4  C) c) ab + 4  D) d) ab - 2b + 4  E) e) 4 - ab

Solution: |a| = -a Suggests that 'a' is Negative   |ab| = ab Suggests that 'ab' is Positive   'ab' is Positive Suggests that 'a' and 'b' have same Sign i.e. either both positive or both negative   But since 'a' is Negative therefore 'b' is Negative too.   Since b is negative so |b - 4| = -b+4   Since ab is Positive and b is Negative so |ab - b| = ab + b   i.e. |b - 4| + |ab - b| = -b+4 + ab + b =ab + 4   Answer: Option c) ab + 4
Answer: C
The reduction in the speed of an engine is directly proportional to the square of the number of bogies attached to it. The speed of the train is 100 km/hr when there are 4 bogies and 55 km/hr when there are 5 bogies. What is the maximum number of bogies that can be attached to the train so that, even with those many numbers of bogies, it can just move?  Choose the correct choice from the following options.
A) 3
B) 4
C) 5
D) 6
E) 7

Solution: We know that S=Smax−K×(bogies)2   When there are 4 bogies speed of the train is 100km/hr 100=Smax−K×(4)2 ⇒100=Smax−K×16.......(1)   When there are 5 bogies speed of the train is 55km/hr   55=Smax−K×(5)2⇒ 55 = Smax−K×25 ........(2)   (2) - (1) gives 9K=45⇒K=5   By substituting K = 5 in either (1) or (2) we can find the maximum speed of the train = 180 km/hr   Assume, for N number of bogies the train does not move.   ⇒0=180−5(N)2⇒N=6   If the engine is attached to 6 bogies, it does not move. If we want the train to move we need to attach maximum of 5 bogies   Answer 5
Answer: C
The greatest number of four digits which is divisible by 12, 20, 36 and 60 is:	Choose the correct answer
A) 9000 B) 9900 C) 9500 D) 9800 E) 9700

Solution: Greatest number of 4-digits is 9999.   L.C.M. of 12, 20, 36 and 60 is 180.   On dividing 9999 by 180, the remainder is 99.   Required number  (9999 - 99)= 
 (9999 - 99) = 9_900
9900.   Answer: Option 9900
Answer: B
The amount of time that three people worked on a special project was in the ratio of 3 to 5 to 6. If the project took 140 hours, how many more hours did the hardest working person work than the person who worked the least? Select the correct option.
A) 32 hours  B) 40 hours  C) 35 hours  D) 30 hours  E) 36 hours

Solution: Let the persons be A, B, C.   Hours worked:   A = 3*140/14= 
3*140/14 = 30
30 hours   B= 5*140/14= 
5*140/14 = 50
50 hours   C= 6*140/14= 
6*140/14 = 60
60 hours   C is the hardest worker and A worked for the least number of hours. So the difference is  60-30= 
 60-30 = 30
30 hours.   Answer : 30 hours
Answer: D
If n is the product of the first 10 prime numbers, which of the following is an integer?
I. n/7
II. n/4
III. n/143
Choose the most appropriate option:
A) I only B) I and II only C) I and III only D) III only E) I, II, and III

Solution: The product of first 10 prime numbers is: 2*3*5*7*11*13*17*19*23*29 = n   I) n/7 is an integer --> Yes (It is a part of the product)   II) n/4 is an integer --> No (2 is present only once in the product, not twice)   III) n/143 is an integer --> Yes (Both 11 and 13 are a part of the product)   Answer: I and III only
Answer: C
A Flask contains a mixture of AB in the ratio 5:2. When 20 L of Mixture is replaced with liquid B, ratio becomes 4:1. How many liters of liquid A was present in mixture initially. Choose the correct choice from the following answers:
A) 10
B) 22
C) 15
D) 30
E) 8

Solution: Let the volume of the initial total mixture was V. When 20L of mixture is removed the volume becomes (V - 20). The concentration stays 5:2.   Next step, when you add 20 litres of B, the amount of A does not change.   So   Amount of A in original mix = Amount of A in final mix   C1 * V1 = C2 * V2   (5/7)*(V - 20) = (4/5)*V   V = 30.8   So volume of A in initial mixture was   (5/7) * 30.8= 
  (5/7) * 30.8 = 22
22 litres   Answer 22
Answer: B
The sum of the fourth and twelfth term of an arithmetic progression is 20. What is the sum of the first 16 terms of the arithmetic progression?  Choose the correct option
A) 300 B) 120 C) 150 D) 160 E) 270

Solution: n th term of A.P. is given by a+(n-1)d   4 th term = a+3d   12 th term = a+11d   Given a+3d+a+11d=20 --> 2a+14d=20 --> a+7d = 10   Sum of n term of A.P = n/2[2a+(n-1)d]   subsitiuing n = 16 ...we get 15/2[ 2a + 14d] = 16 [a+7d] = 16*10 = 160...   Answer is 160...
Answer: D
A piece of string is 40 centimeters long. It is cut into three pieces. The longest piece is 3 times as long as the middle-sized piece and the shortest piece is 23 centimeters shorter than the longest piece. Find the lengths of the three pieces.	Options: A) 27 B) 5 C) 4 D) 9 E) 8

Solution: Explanation :   Let the largest piece = 3x.   Middle = x.   Shortest = 3x – 23.   or 3x + x + (3x – 23) = 40.   or x = 9   or the shortest piece = 3(9) – 23 = 4   Check choices:   The shortest piece has to be < 20 cm.   27 is wrong choice.   The largest piece is a multiple of 3.   Or (23 + Shortest) should be a multiple of 3.   Hence ,the answer = 4 cm.   Answer : 4
Answer: C
A sum is divided among W, X and Y in such a way that for each rupee W gets, X gets 30 paisa and Y gets 20 paisa. If the share of W is RS. 10, what is the total amount?  Choose the correct answer:
A) 12
B) 13
C) 14
D) 15
E) 16

Solution: w:x:y = 100:30:20   20:6:4   20 --- 10   30 --- ? => 15   Answer:15
Answer: D
If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?	Pick:	A) 120 cm2	B) 197 cm2	C) 876 cm2	D) 267 cm2	E) 268 cm2

Solution: The triangle with sides 26 cm, 24 cm and 10 cm is right angled, where the hypotenuse is 26 cm.   120 cm2rea of the triangle   = 1/2 * 24 * 10= 
1/2 * 24 * 10 = 120
120 cm2   120 cm2nswer: 120 cm2
Answer: A
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 10 overs to reach the target of 282 runs? Choose the correct choice.
A) 6.25  B) 5.5  C) 25  D) 15  E) 6

Solution: Explanation:   Runs scored in the first 10 overs = 10 × 3.2 = 32   Total runs = 282   Remaining runs to be scored = 282 - 32= 
282 - 32 = 250
250   Remaining overs= 10   Run rate needed = 250/10= 
250/10 = 25
25   Answer: Option 25
Answer: C
If the number 872,152,24x is divisible by 11, what must be the value of x? Select:
A) 1
B) 2
C) 3
D) 4
E) 5

Solution: Multiplication rule of 11: (Sum of digits at odd places - Sum of digits at even places) should be divisible by 11   Given number: 872,152,24x   Sum of digits at odd places = 8 + 2 + 5 + 2 + x = 17 + x (i)   Sum of digits at even places = 7 + 1 + 2 + 4= 
7 + 1 + 2 + 4 = 14
14 (ii)   (i) - (ii)= 17 + x - 14 = x - 3   Hence x should be = 3 to make this a multiple of 11 (0) Option 3
Answer: C
What is the measure of the radius of the circle inscribed in a triangle whose sides measure 8, 15 and 21 units?	Pick:
A) 8.5 units
B) 2.6 units
C) 3 units
D) 5 units
E) 12 units

Solution: Sides are 8, 15 and 21...thus it is right angle triangle Since 21^2 = 8^2 + 15^2   therefore, area = 1/2 * 15 * 8= 
1/2 * 15 * 8 = 60
60   We have to find in-radius   Therefore, area of triangle= S*r ....where S=semi-perimeter and r= in-radius   Now S=semi-perimeter = 21+15+8 /2 = 22   Thus , 60 =22*r   and hence r=in-radius= 2.6   Option 2.6 units
Answer: B
The average monthly salary of the employees of a firm is Rs.60 out of the employees 12 officers get an average of Rs.400 per month and the rest an average of Rs. 56 per month , Find the number of emp Choose the correct choice from the following choices:
A) 3278  B) 1028  C) 1022  D) 1029  E) 1032

Solution: Actual average salary of 12 officers = 400   Total salary of 12 officers = 400 x 12 = 4800   Average of these 12 officers as a whole =60   Total salary of 12 officers as a whole = 60 x 12 = 720   The total salary of rest = 4800 - 720= 
4800 - 720 = 4_080
4080   Difference in average of the rest of officers= 60 - 56= 
60 - 56 = 4
4   Rest of the officers= {4080}/{4}=1020   Total number of employees 4080 / 4= 
4080 / 4 = 1_020
1020   Total number of employees= 1020 + 12= 
1020 + 12 = 1_032
1032   Answer:1032
Answer: E
Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?	Choose the correct choice from the following answers:
A) 2400  B) 2429  C) 2980  D) 2707  E) 2872

Solution: First persons investment = x   Second persons investment = x + 1000   Third persons investments = x + 2000   x + x + 1000 + x + 2000 = 9000   3x = 6000   x = 2000   Ratio = 2000 : 3000 : 4000   2:3:4   4/9 * 54000 = 2400   2400nswer:2400
Answer: A
400 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees  Pick
A) 10  B) 12  C) 14  D) 16  E) 18

Solution: 26 trees have 25 gaps between them,   Required distance (400/25)= 
(400/25) = 16
16   16
Answer: D
If the sum of two numbers is 45 and the H.C.F and L.C.M of these numbers are 4 and 5 respectively, then the product of the reciprocals is equal to: Options:
A) 20/20	B) 1/1	C) 2/30	D) 11/20	E) 1/20

Solution: Let the numbers be a and b.   Then, a + b = 45 and ab = 5 * 4= 
5 * 4 = 20
20.   Required product= 1/a * 1/b = 1/ab = 1/20= 1/20.   ANSW1/20R:1/20
Answer: E