MU-NLPC/Calc-aqua_rat huggingface dataset:
If n is a 36-digit positive integer, all of whose digits are the same, which of the following must be true?
I. n is divisible by 3
II. n is divisible by 9
III. n is divisible by 36	Choose the correct choice from the following answers:
A) I only
B) I and II only
C) I ,II and III only
D) II and III only
E) III

Solution: Rule for divisibility by 3: The sum of the digits of the number should be multiple of 3   Rule for divisibility by 9: The sum of the nos digits of the number should be divisible by 9 or the number should be divisible by 3 two times.   Rules for divisibility by 36: The sum of the digits should a multiple of 36   Consider no 11111111...36 times = The sum 36*1= 
36*1 = 36
36----> divisbible by 3,9 and 36   consider number to be 222....36 times, then sum of the no. 36*2=72 divisibly by 3,9 and 36   So why so because when you sum the numbers either you can add the digits 36 times or multiply the digit *36..   Note that since 36 is divisble by 36,9 and 3 and thus the sum of the nos will be divisible by all the nos.   Ans is I ,II and III only
Answer: C
The second largest prime number is?	Pick.
A) 1	B) 2	C) 3	D) 4	E) 5

Solution: The second largest prime number is 3.   3)
Answer: C
If there are 4 peanuts in a box and Mary puts 2 more peanuts inside, how many peanuts are in the box?	Choose the correct choice from the following options
A) 8  B) 9  C) 6  D) 11  E) 12

Solution: 2+4= 
2+4 = 6
6   correct answer is 6)6
Answer: C
Two-third of a positive number and 16/216 of its reciprocal are equal. The number is:
Choose the most appropriate option.
A) 5/12
B) 12/5
C) 1/3
D) 144/25
E) 146/25

Solution: Let the number be x. Then,   2/3 x = 16/216 * 1/x   x2 = 16/216 * 3/2 = 16/144 = 1/9   x = 1/3   ANSWER:1/3
Answer: C
A certain car increased its average speed by 5 miles per hour in each successive 5-minute interval after the first interval. If in the first 5-minute interval its average speed was 26 miles per hour, how many miles did the car travel in the third 5-minute interval?
Choose the correct choice from the following options.
A) 1.0
B) 1.5
C) 2.0
D) 2.5
E) 3.0

Solution: In the third time interval the average speed of the car was 22+5+5=36 miles per hour;   In 5 minutes (1/12 hour) at that speed car would travel   36*1/12= 
  36*1/12 = 3
3 miles.   Answer: 3.0.
Answer: E
A certain business produced x rakes each month form November through February and shipped x/2 rakes at the beginning of each month from March through October. The business paid no storage costs for the rakes from November through February, but it paid storage costs of $0.50 per rake each month from March through October for the rakes that had not been shipped. In terms of x, what was the total storage cost, in dollars, that the business paid for the rakes for the 12 months form November through October?  Choose the correct choice from the following options:  A) 0.40x  B) 1.20x  C) 1.40x  D) 1.60x  E) 3.20x

Solution: because we have a total of 4X   Also from Mar- Oct the rakes will be deducted by 1/8 X   so   In Apr they pay for the storage 0.5 * 4X * 7/8   In May they pay for the storage 0.5 * 4X * 6/8   In Jun they pay for the storage 0.5 * 4X * 5/8   In Jul they pay for the storage 0.5 * 4X * 4/8   In Aug they pay for the storage 0.5 * 4X * 3/8   In Sep they pay for the storage 0.5 * 4X * 2/8   In Oct they pay for the storage 0.5 * 4X * 1/8   total = 0.5 * 4X * 1/8 * [ 1+2+3+4+5+6+7]   = 0.5 * X/2 * (28)   = 7.0X   1.60x
Answer: D
There are 27 bicycles and 10 tricycles in the storage area at Stanley's flat building. Each bicycle has 2 wheels and each tricycle has 3 wheels. How many wheels are there in all?	Answers:
A) 84
B) 67
C) 39
D) 21
E) 11

Solution: Step 1: Find the number of bicycle wheels.   2 × 27 = 54   Step 2: Find the number of tricycle wheels.   3 × 10 = 30   Step 3: Find the total number of wheels.   54 + 30= 
54 + 30 = 84
84   There are 84 wheels in all.   84nswer is 84.
Answer: A
A grocer has a sale of Rs. 5400, Rs. 9000, Rs. 6300, Rs. 7200 and Rs.4500 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 5600?  Choose the correct choice:  A) s. 1200  B) s. 5400  C) s. 5400  D) s. 4999  E) s. 5000

Solution: Total sale for 5 months = Rs. (5400 + 9000 + 6300+ 7200 + 4500) = Rs. 32400.   Required sale = Rs. [ (5600 x 6) - 32400 ]   = Rs. (33600 - 32400)   = Rs.1200.   Option s. 1200
Answer: A
A dishonest person wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing 33 $ per litre so as to make a profit of 20% on cost when he sells the resulting milk and water mixture for 36$. In what ratio should he mix the water and milk?	Select: A) 1:20 B) 1:10 C) 1:8 D) 1:4 E) 1:2

Solution: He needs to make a profit of 20%, which means he needs to sell the milk +water combination for 39.6 (20% of 33 +33)   Now, he plans to sell 1 liter of this solution of milk and water for 36. which means he needs to sell 1.1 liters of this solution to earn 39.6. (36 for 1 liter and so 39.6 for 1.1 liters)   Hence the water added would be .1 liter.   Therefore the ratio of water to milk is .1/1 = 1/10   ANSWER:1:10
Answer: B
The length of a room is 7 m and width is 4.75 m. What is the cost of paying the floor by slabs at the rate of Rs. 900 per sq. metre. Select the correct option.
A) 25650 B) 25750 C) 26550 D) 26750 E) 29925

Solution: Area = 7 × 4.75 sq. metre.   Cost for 1 sq. metre. = Rs. 900   Hence total cost = 7 × 4.75 × 900   = 7 × 4275 = Rs. 29925   Answer is 29925
Answer: E
V is the volume of a cylinder; the radius of the cylinder is 4.5. The height of the cylinder is 550% more than the radius. Which of the following is true? Choose one
A) 100 < V < 300	B) 300 < V < 500	C) 500 < V < 700	D) 700 < V < 900	E) 900 < V < 1900

Solution: As we see the answers are in form of range we can use approximation   Volume of cylinder is πr^2h   Given π= 22/7 and r = 4.5 so r^2 ~ 20 and h = 6.5 * 4.5 ~ 29   So 22/7 * 20 * 29 ~ 1823   so answer should be   E. 900 < V < 1900   Answer : 900 < V < 1900
Answer: E
(212 + 222 + 232 + ... + 302) = ?	Choose the correct option
A) 385
B) 2485
C) 2570
D) 3255
E) none

Solution: Solution   (212 + 222 + 232 + ... + 302) = a+(n-1)d=last number .....so 212+(n-1)10=302.....so n=10. so sum= n/2(2a+(n-1)d) = 10/2(2*212+9*10) = 2570.   Answer 2570
Answer: C
If k is a positive integer, which of the following must be divisible by 22?  Choose the correct choice:	A) (k – 4)(k)(k + 3)(k + 7)	B) (k – 4)(k – 2)(k + 3)(k + 5)	C) (k – 2)(k + 3)(k + 5)(k + 6)	D) (k + 1)(k + 3)(k + 5)(k + 7)	E) (k – 3)(k + 1)(k + 4)(k + 6)

Solution: 22=11*2.   Note that the product of two consecutive even integers is always divisible by 8 (since one of them is divisible by 4 and another by 2). Only option B offers two consecutive even numbers for any integer value of k: k-4 and k-2, if k=even or k+3 and k+5 if k=odd.   Also from the following 3 consecutive integers:(k-4), (k-3),(k-2)one must be divisible by 3, if it's not k-4 or k-2 then it must be k-3 (if it's k-4 or k-2 option B is divisible by 3 right away). But if it's k-3 then (k-3)+6=k+3must also be divisible by 3.   So, option B: (k – 4)(k – 2)(k + 3)(k + 5) is divisible by 8 and 3 in any case.   Answer: (k + 1)(k + 3)(k + 5)(k + 7).
Answer: D
98 students represent x percent of the boys at a school. If the boys at the school make up 50% of the total school population of x students, what is x?  Choose the correct choice from the following options.
A) 110
B) 140
C) 220
D) 250
E) 500

Solution: Let B be the number of boys in the school.   98 = x140/100   140 = 0.5x   9800=0.5x^2   x^2 = 19600   x = 140   The answer is 140.
Answer: B
What is the sum of the greatest common factor and the lowest common multiple of 72 and 36? Choose the correct choice from the following answers
A) 192
B) 220
C) 224
D) 108
E) 284

Solution: Prime factorization of 36 = 2 x 2 x 3 x 3   Prime factorization of 72 =2 x 2 x 2 x 3 x 3   GCF = 36   LCM = 72   Sum = 108.   Answer 108.
Answer: D
A shopkeeper sold 30articles at the cost price of 25 articles. Then find the profit% or lost%  Choose the correct answer:	A) 15%	B) 18%	C) 20% loss	D) 25%	E) 30%

Solution: here 30 articles selling price = 25 articles cost price   so the difference = 25-30 =-5   % of loss = 5*100/25= 
5*100/25 = 20
20%   correct option is 20% loss
Answer: C
The average marks of a class of 30 students is 30 and that of another class of 50 students is 60. Find the average marks of all the students? Options:
A) 52.5
B) 52.9
C) 52.1
D) 48.75
E) 42.5

Solution: Sum of the marks for the class of 30 students = 30 * 30= 
30 * 30 = 900
900   Sum of the marks for the class of 50 students= 50 * 60= 
50 * 60 = 3_000
3000   Sum of the marks for the class of 80 students=   900 + 3000= 
900 + 3000 = 3_900
3900   Average marks of all the students= 3900/80= 
3900/80 = 195/4 = around 48.75
48.75   Answer:48.75
Answer: D
For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.21000, my total savings for the two-year is  Choose the correct choice from the following options.
A) Rs.9000 B) Rs.9700 C) Rs.9800 D) Rs.9900 E) Rs.10000

Solution: Sol. Income in first year = * x 42000 = Rs. 24000   Expenses in second year = \ x 21000 = Rs. 35000 Total savings = Total income - Total expenses = (42000 + 24000)- (21000 + 35000)   = 66000 - S6000 = Rs.10000   Rs.10000
Answer: E
Eggs are sold in packages of six or eleven only. If Doris bought 62 eggs exactly, what could be the number of large packs Doris bought?	Choose the correct choice from the following answers:
A) 6.	B) 2.	C) 3.	D) 5.	E) 4.

Solution: No strategy involved. Simple question demanding fast calculation.   11x4 = 44 => 62-44= 
62-44 = 18
18=> 18/6 is an integer   Ans E. 4.   Good luck
Answer: E
A number is said to be prime saturated if the product of all the different positive prime factors of w is less than the square root of w. What is the greatest two digit prime saturated integer ?
Choose one: A) 99 B) 98 C) 97 D) 96 E) 95

Solution: w 96 = 3 * 32 = 3 * 2^5   Answer is 96.
Answer: D
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . If they cross each other in 24 seconds, what is the ratio of their speeds?	Answers
A) 1:3  B) 3:1  C) 7:3  D) 3:2  E) 3:4

Solution: Let the speed of the trains be x and y respectively   length of train1 = 27x   length of train2 = 17y   Relative speed= x+ y   Time taken to cross each other = 24 s   = (27x + 17 y)/(x+y) = 24   = (27x + 17 y)/ = 24(x+y)   = 3x = 7y   =x/y = 7/3   Answer :7:3
Answer: C
A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?
Choose the correct choice from the following choices
A) 150 B) 200 C) 250 D) 300 E) 350

Solution: The number of ways to select two men and three women = ⁵C₂ * ⁶C₃   = (5 *4 )/(2 * 1) * (6 * 5 * 4)/(3 * 2)= 
(5 *4 )/(2 * 1) * (6 * 5 * 4)/(3 * 2) = 200
200   ANSWER:200
Answer: B
A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?
Choose the correct choice from the following options:  A) Rs. 4462.50  B) Rs. 8032.50  C) Rs. 8900  D) Rs. 8925  E) None of these

Solution: Principal   = (100 x 4016.25) /(9 x 5)   = 401625/45   = Rs. 8925.   Answer: Option Rs. 8925
Answer: D
If log10 2=0.30103,find the value of log10 50
Answers:
A) 1.69897
B) 2.69897
C) 1.99897
D) 0.69897
E) 5.69897

Solution: log10 50=log10(100/2)=log 100-log 2   =2log10-log 2=2(1)-0.30103=1.69897   1.69897NSWER:1.69897
Answer: A
What is the units digit of 2222^(333)*3333^(444)?	Options:
A) 0
B) 2
C) 4
D) 6
E) 8

Solution: Each of the other explanations to this question has properly explained that you need to break down the calculation into pieces and figure out the repeatingpatternof the units digits.   Here's another way to organize the information.   We're given [(2222)^333][(3333)^222]   We can 'combine' some of the pieces and rewrite this product as....   ([(2222)(3333)]^222) [(2222)^111]   (2222)(3333) = a big number that ends in a 6   Taking a number that ends in a 6 and raising it to a power creates a nice pattern:   6^1 = 6   6^2 = 36   6^3 = 216   Etc.   Thus, we know that ([(2222)(3333)]^222) will be a gigantic number that ends in a 6.   2^111 requires us to figure out thecycleof the units digit...   2^1 = 2   2^2 = 4   2^3 = 8   2^4 = 16   2^5 = 32   2^6 = 64   2^7 = 128   2^8 = 256   So, every 4powers, the pattern of the units digits repeats (2, 4, 8, 6.....2, 4, 8, 6....).   111 = 27 sets of 4 with a remainder of 3....   This means that 2^111 = a big number that ends in an 8   So we have to multiply a big number that ends in a 6 and a big number that ends in an 8.   (6)(8) = 48, so the final product will be a gigantic number that ends in an 4.   Final Answer:   4
Answer: C
A man has Rs. 528 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 one:	A) 80	B) 90	C) 95	D) 99	E) 100

Solution: Let number of notes of each denomination be x.   Then x + 5x + 10x = 528   16x = 528   x = 33.   Hence, total number of notes = 3x = 99.   99
Answer: D
A pack of baseball cards consists of 12 outfielder cards and 8 infielder cards. What is the lowest number of outfielder cards that would have to be removed from the pack so that no more than 20 percent of the pack would be outfielder cards?
Pick one:
A) 10
B) 5
C) 6
D) 7
E) 8

Solution: let the number of O card to be removed=X   then remaning cards=12-X   now this 12-X cards should count less than 20% of toatal Ocards   12-X<.2*12   X>12-2.4   X>9.6   X=10   10ns 10
Answer: A
A train 200m long passes a standing man in 24 seconds. What is the speed of the train?
Choose one.
A) 30km/hr	B) 36km/hr	C) 42km/hr	D) 50km/hr	E) 32km/hr

Solution: Speed of the train = 200/24* 18/5= 
200/24* 18/5 = 30
30km/hr   30km/hrnswer is 30km/hr
Answer: A
A man rows his boat 80 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream? Answers:
A) 1 kmph	B) 6 kmph	C) 5 kmph	D) 8 kmph	E) 7 kmph

Solution: Speed downstream = d/t = 80/(2 1/2) = 32 kmph   Speed upstream = d/t = 45/(2 1/2) = 18 kmph   The speed of the stream = (32 - 18)/2= 
(32 - 18)/2 = 7
7 kmph   Answer:7 kmph
Answer: E
A class consists of 3 boys and 6 girls. Given that one kid can only hold one title, in how many ways can you pick 2 boys to be the class clown and the teacher's pet or 2 girls to be the most beautiful girl in class and the smartest kid on the block?
Choices
A) 9
B) 18
C) 36
D) 60
E) 240

Solution: Easiest way is to treat it like an arrangements question in the following manner:   From the boys we need to select 2 to be clown and pet: This can be done in 3*2 ways   Similarly for the girls, we have 6*5 ways.   Thus total = 30+6= 
30+6 = 36
36 ways. Thus 36 is the correct answer.
Answer: C
How much water must be added to 60 litres of milk at 11⁄2 litres for 20 so as to have a mixture worth 10 2⁄3 a litre?  Choose the correct option:  A) 10 litres  B) 12 litres  C) 15 litres  D) 18 litres  E) None of these

Solution: C.P. of 1 litre of milk = (20 × 2⁄3) = 40⁄3   ∴ Ratio of water and milk = 8⁄3 : 32⁄3 = 8 : 32 = 1 : 4   ∴ Quantity of water to be added to 60 litres of milk   = (1⁄4 × 60) litres = 15 litres.   Answer 15 litres
Answer: C
If X represents the product of the first 15 positive integers, then X is not a
multiple of:  Pick one
A) a) 99  B) b) 84  C) c) 72  D) d) 57  E) e) 67

Solution: a) 99 = 9*11   b) 84 = 4*7*3   c) 72 =9*11   d) 65 = 5*13   e) 57 =19*3   since 19 is not there in first 15 positive numbers it is the only possibility   d) 57)
Answer: D
A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containg 19% alcohol and now the percentage of alcohol was found to be 22%. What quantity of whisky is replaced ?  Choose the most appropriate option.
A) 1/3	B) 2/3	C) 2/5	D) 3/5	E) 4/5

Solution: Let us assume the total original amount of whiskey = 10 ml ---> 4 ml alcohol and 6 ml non-alcohol.   Let x ml be the amount removed ---> total alcohol left = 4-0.4x   New quantity of whiskey added = x ml out of which 0.19 is the alcohol.   Thus, the final quantity of alcohol = 4-0.4x+0.19x ----> (4-0.21x)/ 10 = 0.26 ---> x = 20/3 ml.   Per the question, you need to find the x ml removed as a ratio of the initial volume ---> (20/3)/10 = 3/5.   Hence, 3/5 is the correct answer.
Answer: D
A pupil's marks were wrongly entered as 83 instead of 63. Due to the average marks for the class got increased by half. The number of pupils in the class is?	Choose the correct choice from the following answers
A) 33	B) 38	C) 40	D) 21	E) 25

Solution: Let there be x pupils in the class.   Total increase in marks = (x * 1/2)   = x/2   x/2 = (83 - 63) => x/2 = 20 => x   = 40.   Answer:40
Answer: C
In a box of 10 pens, a total of 3 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?  Answers
A) 4/9
B) 5/11
C) 7/15
D) 9/22
E) 12/35

Solution: # defective pens = 3   # good pens = 7   Probability of the 1st pen being good = 7/10   Probability of the 2nd pen being good = 6/9   Total probability = 7/10 * 6/9 = 7/15   The answer is 7/15.
Answer: C
The probabilities of solving a question by 3students A, B & C are 1/2,1/3 &1/4, respectively. The probability that the problem will be solved is?	Choices:
A) 1/2 B) 3/4 C) 3/5 D) 4/7 E) 5/3

Solution: Sol. First, we find the probability of not solving the problem x PTO x = (1 — D x - D x - D   1 2 3 1 =iXiX71=4;   1 3 Required probability 3/4   3/4
Answer: B
How many steel rods, each of length 14 m and diameter 4 cm can be made out of 1.76 cm3 of steel?  Pick: A) 80 B) 90 C) 100 D) 110 E) 120

Solution: Volume of 1 rod = (22/7)x(2/100) x (2/100) x 14 ) m3 =11/625 m3   Volume of steel = 1.76 m3   Number of rods =(1.76 x 625/11) =100   answer :100
Answer: C
The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is?
Choose the correct choice from the following answers
A) 21  B) 23  C) 31  D) 33  E) 35

Solution: L.C.M. of 5, 6, 4 and 3 = 60.   On dividing 2497 by 60, the remainder is 37.   Number to be added = (60 - 37)= 
(60 - 37) = 23
23   23)
Answer: B
Sides of a rectangular park are in the ratio 3: 2 and its area is 3750 sq m, the cost of fencing it at 50 ps per meter is?	Pick:
A) 287  B) 1287  C) 125  D) 988  E) 271

Solution: 3x * 2x = 3750 => x = 25   2(75 + 50) = 250 m   250 * 1/2 = Rs.125   Answer: 125
Answer: C
A hall is 6 meters long and 6 meters wide. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, what is the volume of the hall (in cubic meters)?	Options
A) 96  B) 100  C) 104  D) 108  E) 112

Solution: 2HL + 2= 
+ 2 = 2
2LW   H= LW / (L+W)   Volume = LWH = (LW)^2 / (L+W) = 108   The answer is 108.
Answer: D
Rakesh credits 15% of his salary in his fixed deposit account and spends 30% of the remaining amount on groceries. If the cash in hand is Rs.2380, what is his salary?
Select:
A) Rs.3500  B) Rs.4000  C) Rs.4500  D) Rs.5000  E) None

Solution: Explanation:   Let salary be Rs.x. Then,   x-15% of x -30% of 85% of x = 2380   or x- 15x/100−30×85×x/100×100=2380   or 200x-30x-51x=2380×2002380×200   or 119x = 2380×2002380×200 or x 2380×200/119=4000   Correct Option: Rs.4000
Answer: B
Merry and Michelle play a card game. In the beginning of the game they have an equal number of cards. Each player, at her turn, gives the other a third of her cards. Michelle plays first, giving Merry a third of her cards. Merry plays next, and Michelle follows. Then the game ends. Merry ended up with 28 more cards than Michelle. How many cards did each player have originally?	Choose one:  A) 45  B) 27  C) 54  D) 36  E) 38

Solution: GameMichelleMerry   Initially 54 54 assume   After game 1 36 72   After game 2 60 48   After game 3 40 68   Now Merry has 28 cards more than Michelle. This option gives us exactly what number of cards they had initially.   So the answer is 54
Answer: C
For all positive integers f, f◎ equals the distinct pairs of positive integer factors. For example, 16◎ =3, since there are three positive integer factor pairs in 16: 1 x 16, 2 x 8, and 4 x 4.
What is the greatest possible value for f◎ if f is less than 100? Choose the correct choice from the following answers:	A) 6	B) 7	C) 8	D) 9	E) 10

Solution: I took numbers in reverse order from 99 and got 6 distinct pairs in 96.   I thought it may be because 96=(2^5*3) has   (5+1)*(1+1)= 
  (5+1)*(1+1) = 12
12(perhaps maximum) factors.   1*96,2*48*4*24,8*12,16*6,32*3   However, I was not sure while answering this. Please let us know if there is a better way.   6ns: "6"
Answer: A
There are 8 red, 7 blue and 6 green balls, 1 ball is picked up randomly thenwhat is the probability that neither blue nor green?	Options.
A) 2/13  B) 3/31  C) 4/41  D) 5/31  E) 8/21

Solution: Total number of balls = (8 + 7 + 6)= 
(8 + 7 + 6) = 21
21   Let E= event that the ball drawn is neither blue nor green =e vent that the ball drawn is red.   Therefore, n(E) = 8.   P(E) = 8/21.   8/21
Answer: E
In a rectangular coordinate system, what is the area of a quadrilateral whose vertices have the coordinates (3,-1), (3, 8), (14, 2), (14,-5)?
Choose the most appropriate option
A) 76	B) 88	C) 100	D) 112	E) 124

Solution: By graphing the points, we can see that this figure is a trapezoid. A trapezoid is any quadrilateral that has one set of parallel sides, and the formula for the area of a trapezoid is:   Area = (1/2) × (Base 1 + Base 2) × (Height), where the bases are the parallel sides.   We can now determine the area of the quadrilateral:   Area = 1/2 × (9 + 7) × 11 = 88.   The answer is 88.
Answer: B
It was calculated that 75 men could complete a piece of work in 20 days. When work was scheduled to commence, it was found necessary to send 25 men to another project. How much longer will it take to complete the work? Choose the most appropriate option:
A) 10
B) 30
C) 20
D) 15
E) 40

Solution: Before:   One day work = 1 / 20   One man’s one day work = 1 / ( 20 * 75)   Now:   No. Of workers = 50   One day work = 50 * 1 / ( 20 * 75)   The total no. of days required to complete the work = (75 * 20) / 50= 
(75 * 20) / 50 = 30
30   ANSWER:30
Answer: B
A company consists of 5 senior and 3 junior staff officers. If a committee is created with 3 senior and 1 junior staff officers, in how many ways can the committee be formed?	Answers:	A) 12	B) 30	C) 45	D) 80	E) 200

Solution: Choose 3 senior from 5 senior and choose 1 junior from 3 junior:   3C5 * 1C3 = 10*3= 
10*3 = 30
30   Ans: 30
Answer: B
A patient was given a bottle of tablets by the doctor and he was asked to take five tablets in a gap of 20 minutes. In how much time will he be able to take all the five tablets? Choose one:
A) 1 hour 10 min  B) 1 hour  C) 1 hour 20 min  D) None  E) Cannot be determined

Solution: Suppose he takes the first tablet at 8:00 pm. Then the second will be consumed by him at 8:20, third at 8:40, fourth at 9:00 and fifth at 9:20.   Time = 1 hour 20 min   Answer 1 hour 20 min
Answer: C
The cost of cultivating a square field at the rate of Rs.135 per hectare is Rs.1215. The cost of putting a fence around it at the rate of 75 paise per meter would be :	Pick:	A) Rs.360	B) Rs.810	C) Rs.900	D) Rs.1800	E) Rs.1900

Solution: Area= Total cost/ Rate= (1215/135) hectares= (9*10000) sq.m.   Therefore, side of the square= Ö90000=300m.   Perimeter of the field= (300*4)= 
(300*4) = 1_200
1200m   Rs.900ost of fencing= Rs.(1200*3/4)= Rs.900   ANSWER:Rs.900
Answer: C
You have been given a physical balance and 7 weights of 45, 50, 53, 46, 52, 46 and 80 kgs. Keeping weights on one pan and object on the other, what is the maximum you can weigh less than 188 kgs. Choices:
A) 183  B) 185  C) 182  D) 184  E) 181

Solution: 80 + 52 + 53= 
80 + 52 + 53 = 185
185   Answer: 185
Answer: B