MU-NLPC/Calc-aqua_rat huggingface dataset:
The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq.cm. Find the length of the rectangle?  Answers: A) 10 cm B) 40 cm C) 20 cm D) 30 cm E) 50 cm

Solution: Let the breadth of the given rectangle be x then length is 2x.   thus area of the given rect is \fn_jvn {\color{Black} 2x^{2}}   after dec 5cm from length and inc 5cm breadth , new lenght becomes 2x-5 and breadth is x+5.thus new area =(2x-5)(x+5)=\fn_jvn {\color{Black} 2x^{2}+5x-25}   since new area is 75 units greater than original area thus   \fn_jvn {\color{Black}2x^{2}+75= 2x^{2}+5x-25}   5x=75+25   5x=100   therefore x=20   hence length of the rectangle is 40 cm.   Answer: 40 cm
Answer: B
The cost price of 20 books is the same as the selling price of ’X’ books. If the profit is 50%, then the value of X is ?  Choose the correct choice from the following answers
A) 25	B) 18	C) 16	D) 15	E) 6.7

Solution: let S.P. of X books = Rs 100 = C.P. of 20 books   Therefore, C.P. of one book = Rs 10   Profit = 50 %   Therefore, S.P of one book = 15   S.P of X articles = 15 X   15 X = 100 => X = 6.7   ANSW6.7R:6.7
Answer: E
For any even integer P, 300 multiplied by P is square of an integer. What is the least value of P?
Answers:  A) 3  B) 4  C) 10  D) 12  E) 14

Solution: p∗3∗10^2=s^2   So, s=√p∗3∗10^2   So, if p = 3 we get a perfect square number !!   Hence answer will be (3) 3
Answer: A
3^13 + 3^13 + 3^13 = Options:	A) 3^11	B) 3^13	C) 3^14	D) 9^15	E) 9^30

Solution: Since we have 3^13 added together 3 times, we can factor out a 3 and we get 3(3^13) which is equal to 3^14.   The answer is 3^14.
Answer: C
If the annual increase in the population of a town is 10% and the present number of people is 12000, what will the population be in 2 years?  Choose the correct choice from the following.
A) 12100	B) 15240	C) 12456	D) 11452	E) 14520

Solution: The required population is = 12000 (1 + 10/100)^2   = 12000 * 11/10 * 11/10= 
12000 * 11/10 * 11/10 = 14_520
14520   Answer is 14520
Answer: E
Bil and Jill work at a hospital with 4 other workers. For an internal review, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that Bil and Jill will both be chosen?	Pick:
A) A)1/3 B) B)1/4 C) C)1/15 D) D)3/8 E) E)2/3

Solution: Total number of people = 6   Probability of selecting Bil first and then Jill is 1/6∗1/5=1/30   Probability of selecting Jill first and then Bil is 1/6∗1/5=1/30   Therefore probability of selecting Bil and Jill for the review is 1/30+1/30=1/15   Answer is 1/15
Answer: C
10 friends went to a hotel and decided to pay the bill amount equally. But 9 of them could pay Rs. 50 each as a result 10th has to pay Rs. 180 extra than his share. Find the amount paid by him.
Choose the correct choice from the following options
A) 130 B) 140 C) 110 D) 120 E) None

Solution: Explanation:   Average amount paid by 9 persons = Rs. 50   Increase in average due to Rs. 50 paid extra by the 10th men = Rs. 180/9= Rs. 20   Therefore, Average expenditure of 10 friends = Rs. 50 + Rs. 20 = Rs. 70   Therefore, Amount paid by the 10th men = Rs. 70 + Rs. 50 = Rs. 120   Correct Option: 120
Answer: D
Four people each roll a die once. Find the probability that at least two people will roll the same number? Choose the correct choice from the following:  A) 3/18  B) 13/18  C) 14/18  D) 15/18  E) 16/18

Solution: atleast 2 means   1-p(no one has same number)   p(no person has same number)=6*5*4*3/6^4=10/36   reqd probability=1-10/36   =26/36=13/18   ANSWER:13/18
Answer: B
The average of first 20 natural numbers is?  Choose the most appropriate option:
A) 5.6	B) 10.5	C) 10.1	D) 5.8	E) 5.2

Solution: Sum of 20 natural no.   = 420/2= 
420/2 = 210
210   Average= 210/20= 
210/20 = 21/2 = around 10.5
10.5   Answer:10.5
Answer: B
What approximate value should come in place of question mark (?) in the following equation
287.532 + 1894.029 – 857.48 = 743.095 + ? Select
A) 870
B) 790
C) 580
D) 770
E) 890

Solution: ? = 285 + 1895 – 855 – 745 or, ? = 580   Answer 580
Answer: C
A train 260 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long? Choose the correct option:
A) 40 sec
B) 50 sec
C) 32 sec
D) 49 sec
E) 60 sec

Solution: Speed = 45 * 5/18 = 25/2 m/sec   Total distance covered = 260 + 140= 
260 + 140 = 400
400 m   Required time= 400 * 2/25= 
400 * 2/25 = 32
32 sec   Answer:32 sec
Answer: C
Last year, for every 100 million vehicles that traveled on a certain highway, 40 vehicles were involved in accidents. If 2 billion vehicles traveled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000) Choose the most appropriate option
A) 800	B) 900	C) 100	D) 1000	E) 950

Solution: To solve we will set up a proportion. We know that “100 million vehicles is to 40 accidents as 2 billion vehicles is to x accidents”. To express everything in terms of “millions”, we can use 2,000 million rather than 2 billion. Creating a proportion we have:   100/40 = 2,000/x   Cross multiplying gives us:   100x = 2,000 * 40   x = 20 * 40= 
20 * 40 = 800
800   800nswer : 800
Answer: A
A coach must choose five starters from a team of 12 players. How many different ways can the coach choose the starters ?  Choose the correct choice from the following answers.
A) 237	B) 729	C) 277	D) 166	E) 181

Solution: Choose 5 starters from a team of 12 players. Order is not important.   12C_{5}}= 729   Answer: 729
Answer: B
For which of the following functions is f(d) = f(−d) for all values of d ? Choose the correct choice from the following choices.
A) f(x) = x^3 + 3
B) f(x) = −x
C) f(x) = 2x + 3
D) f(d) = −d^2 + 2
E) f(x) = 5x − 4

Solution: f(d) = f(−d)   The above is a property of an even function .   f(d) = f^(n)   f(d) = f(−d) will hold when n is an even integer .   The only case when d is even is option f(d) = −d^2 + 2   Answer f(d) = −d^2 + 2
Answer: D
Find Nikhil's present age, if
I. Five years ago, Nikhil's age was double that of his daughter's age at that time.
II. Present ages of Nikhil and his daughter are in the ratio of 11:6 respectively
III. Five years hence, the respective ratio of Nikhil's age and his daughter age will become 12:7  Pick one
A) Any two of the three
B) 8
C) 7
D) 6
E) 4

Solution: Explanation:   1) Present ages of Nikhil and his daughter will be 11x and 6x years respectively.   2) 5 years ago, Nikhil's age = 2 * His daughter's age   3) 5 years hence, Nikhil's age / daughter's age = 12/7   Clearly, any two of the above will give Nikhil's present age   Therefore, correct answer is (d).   Any two of the threeNSWER: Any two of the three
Answer: A
4 male and 6 female can cultivate a field in 8 days, 7 male and 3 female can cultivate a field in 10 days. then how many days will take to cultivate a field if 10 female works? Choose the correct option.
A) 120/19	B) 130/19	C) 140/19	D) 120/18	E) 120/17

Solution: 4 male+6female in 8 days=> 32 male+48 female in 1day   7male+ 3 female in 10 days =>70 male+30 female in 1 day   .:32 male+48 female=70 male+30 female   18 female=38 male   1 female= 38/18 male=19/9 male   now,4 male+6 female=4 male+6*(19/9)=50/3 male=150/9 male   we have to find for 10 female workers= 10*(19/9)=190/9 male   more men ,fewer days wud be req to finish work   male days   150/9 8   190/9 x   so, x/8=(150/9)/(190/9)   x=120/19   120/19NSWER:120/19
Answer: A
if x:y = 2:3, then find the value of
(7x+3y):(2x+y)	Select:
A) 23:7 B) 15:5 C) 16:5 D) 17:5 E) None of these

Solution: Explanation:   let x = 2k and y = 3k, so   =7(2k)+3(3k)/ 2(2k)+1(3k)   =23k/7k   =23:7   Option 23:7
Answer: A
There are 50 boys in a class. Their average weight is 45 kg. When one boy leaves the class, the average reduces by 100 g. Find the weight of the boy who left the class.  Choose the correct choice from the following choices
A) 40.9 kg  B) 42.9 kg  C) 49.9 kg  D) 39.9 kg  E) None of these

Solution: Here one boy is excluded and final average of the group decreases.   ∴ change in average is (–)ve = – 0.1 kg.   Using the formula   Sum of the quantities excluded   =(49.9 kghangein no.ofquantities×Origina lAverage)+(49.9 kghangeinAverage×Final no.ofquantities)   ⇒ weight of the boy who left = (1 × 45) – (– 0.1 × 49)   = 49.9 kg   Answer 49.9 kg
Answer: C
After a storm deposits 120 billion gallons of water into the city reservoir, the reservoir is 50% full. If the original contents of the reservoir totaled 280 billion gallons, the reservoir was approximately what percentage full before the storm? Choose the correct choice from the following choices:
A) 45% B) 48% C) 54% D) 58% E) 65%

Solution: When the storm deposited 115 billion gallons, volume of water in the reservoir = 280 + 120= 
280 + 120 = 400
400 billion gallons   If this is only 80% of the capacity of the reservoir, the total capacity of the reservoir= 400/0.5= 
400/0.5 = 800
800 billion gallons   Therefore percentage of reservoir that was full before the storm= (280/800)*100= 
(280/800)*100 = 35
35%   Option 54%
Answer: C
A envelop weight 8.5 gm,if 880 of these envelop are sent with an advertisement mail. How much wieght?	Select
A) 6.6kg	B) 6.8kg	C) 7.48kg	D) 6.9kg	E) 7.8kg

Solution: 880*8.5   7480.0gm   7.48kg   ANSWER:7.48kg
Answer: C
The product X of two prime numbers is between 15 and 90. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then X =  Options:
A) 18
B) 29
C) 37
D) 44
E) 85

Solution: Option BC can be ruled out as they themselves are prime numbers   18 = 2*9 = 3*6 >> Ignore   44 = 2 * 22 = 4 * 11 >> Ignore   85 = 5*17= 
5*17 = 85
85
Answer: E
How many integers from 0 to 50 inclusive have a remainder of 3 when divided by 6?	Choose the correct choice from the following answers.
A) 5  B) 6  C) 7  D) 8  E) 9

Solution: The numbers should be of the form 6c+3.   The minimum is 3 when c=0.   The maximum is 45 when c=7.   There are 8 such numbers.   The answer is 8.
Answer: D
If w is divisible by 15 and 9, w must be a multiple of which of the following?  Choose the most appropriate option:
A) 12  B) 18  C) 25  D) 36  E) 45

Solution: If w is divisible by 3*5 and 3*3, then w is divisible by 3*3*5= 
3*3*5 = 45
45.   The answer is 45.
Answer: E
A department of nine people - four men and five women - needs to send a team of five to a conference. If they want to make sure that there are no more than three members of the team from any one gender, how many distinct groups are possible to send? Choices:	A) 100	B) 120	C) 150	D) 180	E) 200

Solution: They can make a team of 3 men and 2 women.   The number of ways to do this is 4C3*5C2=4*10= 
4*10 = 40
40   They can make a team of 2 men and 3 women.   The number of ways to do this is 4C2*5C3=6*10= 
6*10 = 60
60   The total number of distinct groups is 100.   The answer is 100.
Answer: A
If m, n and r are positive integers greater than 1, and p and q are factors of r, which of the following must be the factor of r^(mn)?
I. m+n
II. n^m
III. m^2 * n^2  Choose the correct choice from the following answers:
A) I only	B) II only	C) III only	D) I and II	E) II and III

Solution: given that m and n are factors of r.   so we can picture it this way r=m*n*n (n-some another factor of r)   so, r^mn= (m*n*n)^mn   I. m+n .since the question is MUST BE TRUE, we eleminate this option   II. (m*n*n)^mn / n^m= integer YII and IIIS!   III.(m*n*n)^mn/ m^2 * n^2 YII and IIIs, since we are said that integer m>1 and integer n>1
Answer: E
A number when successively divided by 5, 3, 2 gives remainder 0, 2, 1 respectively in that order. What will be the remainder when the same number is divided successively by 2, 3, 5 in that order  Pick one:
A) 22
B) 87
C) 26
D) 25
E) 08

Solution: use this simple technique.[ (1 x 3) + 2] = 5   [(5 x 5) + 0] = 25   Answer:25
Answer: D
How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?	Choose one:
A) 13.9 sec
B) 12.1 sec
C) 17.9 sec
D) 61.9 sec
E) 47.98 sec

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec   Total distance covered= 110 + 132= 
110 + 132 = 242
242 m.   Required time= 242/20= 
242/20 = 121/10 = around 12.1
12.1 sec.   Answer:12.1 sec
Answer: B
The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?	Choose the correct option.
A) 18 2/19%	B) 18 2/11%	C) 18 2/41%	D) 18 4/11%	E) 48 2/11%

Solution: 13 CP = 11 SP   11 --- 2 CP   100 --- ? =>18 2/11%   Answer: 18 2/11%
Answer: B
If a hostal has eleven romos and two of those romos has view to the lake and others has view to the camp. What is the probability that you get a room with view to the lake?	Pick one: A) 2/8 B) 2/11 C) 1 D) none E) 12

Solution: the total number of rooms is 11   and the number of romos with view to the lake is 2   then, in one chance the probability to pick a room with view to the lake is   2/11   Answer 2/11
Answer: B
There were r red balls and y yellow balls in a bag. Three red balls and four yellow ones were added to the bag. What is the probability that a yellow ball and then a red ball will be selected if Jerry pulls out two balls at random, and puts the first ball back before pulling the second ball?
Choose the correct choice from the following answers: A) (y+4)/(y+r+7)*(r+3)/(y+r+7) B) (y+3)/(y+r+7) + (r+4)/(y+r+6) C) (y+3)/(y+r+7)*(r+4)/(y+r+6) D) (y+3)/(y+r+7)*(r+3)/(y+r+7) E) (y+3)/(y+r+7) + (r+3)/(y+r+6)

Solution: Currently we have r red and y yellow balls.   After adding new balls, we have   red = r + 3   Yellow = y + 4.   Total = r + y + 7   Now question says we are taking one ball first putting it back and then taking another ball. So, it means both the times, the number of ways of selecting one ball will be Total C 1 or (r+y+7)C1   So, Probability of selecting 1st as yellow and then 2nd as red = [(y+4)C1 / (r+y+7)C1] * [(r +3)C1 / (r+y+7)C1]   (y+4)/(y+r+7)*(r+3)/(y+r+7)nswer : option (y+4)/(y+r+7)*(r+3)/(y+r+7).
Answer: A
The area of a triangle is with base 4.5m and height 6m?	Pick
A) 11 m2  B) 10 m2  C) 13.5 m2  D) 19 m2  E) 12.5 m2

Solution: 1/2 * 4.5 * 6= 
1/2 * 4.5 * 6 = 13.5
13.5 m2   Answer: 13.5 m2
Answer: C
Anthony and Michael sit on the six member board of directors for company X. If the board is to be split up into 2 three-person subcommittees, what percent R of all the possible subcommittees that include Michael also include Anthony?  Pick one:  A) 20%  B) 30%  C) 40%  D) 50%  E) 60%

Solution: The answer is C. Let's look at a committee where Mike belongs (he's person # 1) on that committee. When we choose person #2, there is a 1/5 probability that it's going to be Anthony (then it doesn't matter who the third person is), and 4/5 probability that it's going to be someone else (then person #3 is going to be Anthony with probability 1/4). Total probability R= 1/5+4/5*1/4 = 2/5.40%
Answer: C
What is the scope including 1/31+1/32+1/33+......+1/40? Choose the correct choice:
A) 1/6~1/5	B) 1/5~1/4	C) 1/4~1/3	D) 1/3~1/2	E) 1/2~1

Solution: For Maximum value : It should be less than 1/31 + 1/31 +1/31... 10 times = 10/31 ~ 1/3   For Minimum Value : It should be greater than 1/40+ 1/40+ 1/40 .. 10 times = 10/40 = 1/4.   Thus, the answer should lie between 1/4 and 1/3. 1/4~1/3orrect ans : 1/4~1/3.
Answer: C
If x and y are positive integers, and 4x^2=3y, then which of the following must be a multiple of 8?
I. x^2
II. y^2
III. xy
Choose the correct answer:
A) I only
B) II only
C) III only
D) I and II only
E) I, II and III

Solution: 4x^2 = 3y   since x,y are positive integers, x^2 = x*x is divisible by 3 -> x is divisible by 3 and y is divisible by x^2   -> x^2 and y is divisible by 9 -> y^2 is divisible by 9   (1),(2), and (3) must be true   Answer is III only
Answer: C
Bert and Rebecca were looking at the price of a condominium. The price of the condominium was 110% more than Bert had in savings, and separately, the same price was also 20% more than Rebecca had in savings. What is the ratio of what Bert has in savings to what Rebecca has in savings.
Choose the correct choice from the following
A) 1:5
B) 1:4
C) 2:3
D) 4:7
E) 1:2

Solution: Suppose bert had 100 so price becomes 210 , this 210 = 1.2 times R's saving .. so R's saving becomes 175   So required ratio is 100:175=4:7   ANSWER:4:7
Answer: D
In how many years does a sum of Rs. 5000 yield a simple interest of Rs. 16500 at 15% p.a.?
Choose the correct option:
A) 22 years
B) 17 years
C) 97 years
D) 16 years
E) 14 years

Solution: T = (100 * 16500)/(15 * 5000)= 
(100 * 16500)/(15 * 5000) = 22
22 years   22 yearsnswer: 22 years
Answer: A
On the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. On the particular day 160 children were absent and as a result each child got two extra bananas. Find the actual number of children in the school? Choose the correct choice from the following
A) 600
B) 320
C) 500
D) 520
E) 720

Solution: Let the number of children in the school be x. Since each child gets 2 bananas, total number of bananas = 2x.   2x/(x - 160) = 2 + 2(extra)   => 2x - 320 = x => x = 320.   ANSWER:320
Answer: B
Find the least number which when divided by 38 and 3 leaves a remainder of 1 in each case. Choose the correct choice
A) 107	B) 109	C) 111	D) 113	E) 115

Solution: The least number which when divided by different divisors leaving the same remainder in each case   = LCM(different divisors) + remainder left in each case.   Hence the required least number   = LCM(38, 3) + 1 = 115.   ANSW115R:115
Answer: E
On a sum of money, the S.I. for 2 years is $600, while the C.I. is $630, the rate of interest being the same in both the cases. The rate of interest is? Choose the correct answer
A) 8% B) 10% C) 12% D) 14% E) 16%

Solution: Difference in C.I. and S.I for 2 years = $630 - $600 = $30   S.I for one year 630 -  600= 
630 -  600 = 30
$30   S.I for one year= $300   S.I. on $300 for 1 year = $30   Rate = (100 * 30)/(300)= 
(100 * 30)/(300) = 10
10%   The answer is 10%.
Answer: B
Which of the following options must be positive, given 2 negative integers e and f? Choose the most appropriate option:
A) ef  B) e/f  C) (e + f)^3  D) B and C  E) A and B above

Solution: A.ef   -ve*-ve= +ve   will be positive   B. e/f   -ve/-ve=+ve   will be positive   C. (e + f)^3=-ve   D. (e + f)^5   = -ve   E. A and B option are positive so both are correct   Answer A and B above
Answer: E
kamal finish a work in 15 days.vimal is 50% more efficient than kamal.then how much time vimal take to finish the work?
Select:
A) 10 days
B) 21/2 days
C) 12 days
D) 14 days
E) 11 days

Solution: work of kamal in 1 days=1/15   work of vimal in 1 days=1/15*150%=[1/15*150/100]=1/10   hence,vimal take 10 days to finish the work   answer 10 days
Answer: A
When Rahul was born, his father was 35 years older than his brother and his mother was 27 years older than his sister. If Rahul's brother is 6 years older than him and his mother is 3 years younger than his father, how old was Rahul's sister when he was born ? Choose the correct choice from the following choices.
A) 10 years B) 11 years C) 9 years D) 8 years E) 7 years

Solution: When Rahul was born, his brother's age = 6 years; his father's age = (6 + 35)= 
(6 + 35) = 41
41 years,   his mother's age= (41 - 3)= 
(41 - 3) = 38
38 years;   his sister's age= (38 - 27)= 
(38 - 27) = 11
11 years.   Answer: Option 11 years
Answer: B
A certain protective additive increases from 45 days to 60 days the time between required maintenance checks on an industrial vehicle. By what percent is the time between maintenance checks increased by using the additive?	Options
A) 25%  B) 33 1/3%  C) 50%  D) 66 2/3%  E) 75%

Solution: General formula for percent increase or decrease, (percent change):   percent=Change/Original∗100   So, the time between maintenance checks increased by 60−45/45∗100=33 1/3   Answer: 33 1/3%.
Answer: B
Robert spent $55 in buying raw materials, $125 in buying machinery and 10% of the total amount he had as cash with him. What was the total amount?
Choose the correct option.
A) A)$150 B) B)$210 C) C)$250 D) D)$160 E) E)$200

Solution: Let the total amount be x   then, (100-10)% of x = 55+125   90% of x = 180   90x/100 = 180   x = $200   Answer is $200
Answer: E
If the wheel is 14 cm then the number of revolutions to cover a distance of 1056 cm is?	Choose the most appropriate option:
A) 14
B) 86
C) 16
D) 12
E) 18

Solution: 2 * 22/7 * 14 * x = 1056 => x   = 12   Answer:12
Answer: D
The mean of 25 values was 190. It was detected on rechecking that one value 165 was wrongly copied as 130 for the computation of the mean. Find the correct mean.  Choose the correct choice:
A) 151
B) 149
C) 152
D) 191.4
E) None of the above

Solution: Corrected mean = 190×25−130+165/25   = 4750+35/25   =4785/25= 
4785/25 = 957/5 = around 191.4
191.4   Answer 191.4
Answer: D
A project manager needs to select a group of 3 people from a total of 3 men and 3 women. How many possible group combinations exist such that no group has all men or all women? Choices:
A) 18	B) 24	C) 74	D) 82	E) 48

Solution: Since the order in which the group is selected does not matter, we are dealing with a combinations problem (and not a permutations problem).   The formula for combinations is:   N!/((N-K)!K!)   Where N = the total number of elements from which we will select, 6 people in this case.   Where K = the total number of elements to select, 3 people in this case.   The total number of combinations is therefore:   6!/((6-3)!3!) = 20   However, two of these combinations are not valid since they have all members of one gender.   The correct answer is  20-2= 
 20-2 = 18
18. 18ns 18
Answer: A
A part-time employee whose hourly wage was increased by 20 percent decided to reduce the number of hours worked per week so that the employee's total weekly income would remain unchanged. By what percent should the number of hours worked be reduced? Choose the correct choice from the following answers
A) 11	B) 15	C) 16.66	D) 17	E) 18

Solution: Let original hourly wage be x and let the no of hours worked be y   Total wage will be =x*y   After the increment the wage will be=1.2 x   Now we need to find number of hours worked so that   x*y=1.2x*z i.e z= 1/1.2 y   %decrease = (y-1/1.2y)/y *100=16.66   Thus my answer is 16.66.
Answer: C
If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same sum at the rate and for the same time?
Choose the correct choice:
A) Rs. 51.25
B) Rs. 51.22
C) Rs. 51.219
D) Rs. 51.18
E) Rs. 51.11

Solution: Explanation:   Sum = (50 * 100) / (2 * 5) = Rs. 500   Amount = [500 * (1 + 5/100)2] = Rs. 551.25   C.I. = (551.25 - 500) = Rs. 51.25.   Rs. 51.25nswer:Rs. 51.25
Answer: A
In a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 180 gm mixture, 36 gms of pure milk is added, what would be the percentage of milk in the mixture formed?	Select:	A) 80	B) 83.33	C) 85	D) 90	E) 42

Solution: Percentage of milk in the mixture formed = [80/100 (180) + 36] / (180 + 36) * 100% = (144 + 36)/216 * 100% = 5/6 * 100% = 83.33%.   ANSWER 83.33
Answer: B
A, B and C have Rs.500 between them, A and C together have Rs.200 and B and C Rs.340. How much does C have?  Answers:
A) 50	B) 40	C) 267	D) 29	E) 27

Solution: A+40+C = 500   A+C = 200   40+C = 340   --------------   A+40+2C = 540   A+40+C = 500   ----------------   C = 40   Answer: 40
Answer: B
How many pieces of 85 cm length can be cut from a rod of 38.25 meters long?
Choose one: A) 25 B) 35 C) 45 D) 55 E) 65

Solution: Number of pieces = 3825/85= 
3825/85 = 45
45   The answer is 45.
Answer: C
A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger? Choose the correct answer:
A) 12 B) 27 C) 36 D) 28 E) 23

Solution: Speed of train relative to jogger = 45 - 9= 
45 - 9 = 36
36 km/hr.= 36 * 5/18= 
36 * 5/18 = 10
10 m/sec.   Distance to be covered= 240 + 120= 
240 + 120 = 360
360 m.   Time taken= 360/10= 
360/10 = 36
36 sec.   Answer: 36
Answer: C