MU-NLPC/Calc-aqua_rat huggingface dataset:
Evaluate :
28% of 400 + 45 % of 250
Choose the correct option:  A) 224.8  B) 224.9  C) 224.5  D) 224.6  E) 224.1

Solution: Explanation:   28% of 400 + 45 % of 250   = (28/100 *400 + 45/100 * 250)   = (112 + 112.5)= 
(112 + 112.5) = 224.5
224.5   ANSWER:224.5
Answer: C
If r = 2^3 * 5^2 * 7 and s = 2^3 * 3^2 * 5^3, which of the following is equal to the greatest common divisor of r and s?  Choose the correct answer:
A) 2 * 5	B) 2^2 * 5	C) 2^3 * 5^2	D) 2*3*5*7	E) 2^3 * 3^2 *5^2 * 7

Solution: G2^3 * 5^2D = product of prime factors raised to the least power = 2^3 * 5^2   The answer is 2^3 * 5^2.
Answer: C
If the digit in the unit’s place of a two-digit number is halved and the digit in the ten’s place is doubled, the number thus, obtained is equal to the number obtained by interchanging the digits. Which of the following is definitely true? Select.
A) Digits in the unit’s place and the ten’s place are equal.  B) Sum of the digits is a two-digit number.  C) Digit in the unit’s place is half of the digit in the ten’s place.  D) Digit in the unit’s place is twice the digit in the ten’s place.  E) None of these

Solution: Suppose the two-digit number is   10 x + y   Then, 10 y + x = 20x + y⁄2   or 20y + 2x = 40x + y or, y = 2x   Answer Digit in the unit’s place is twice the digit in the ten’s place.
Answer: D
Tom read a book containing 480 pages by reading the same number of pages each day. If he would have finished the book 5days extra by reading 10 pages a day less, how many days did Tom spend reading the book?
Choices
A) 13
B) 15
C) 14
D) 13.19
E) 16

Solution: Actually u can set up 2 equation   P--stands for the pages   D--stands for the days   1) P*D=480 (we want to find the Days, soP=480/D)   2) (P-10)(D+5)=480 => PD+5P-10D-50=480   as the 1) stated u can put 1) into 2)   => 480+5P-10D-50=480 => 5P-10D=50   put the bold one into it => 5*480/D-10D=50   the we get the final equation 2400/D-10D=50   => D^2+5D-240=0   (D-15)(D+10)=0 so D=13.19days. Ans: 13.19
Answer: D
On a ranch, a rancher can place a loop of rope, called a lasso, once in every 2 throws around a cow’s neck. What is the probability that the rancher will be able to place a lasso around a cow’s neck at least once in 3 attempts? Choose the correct choice from the following:
A) 3/4
B) 5/8
C) 7/8
D) 9/16
E) 15/16

Solution: P(missing all 3)=(1/2)^3=1/8   P(success on at least one attempt)=1-1/8=7/8   The answer is 7/8.
Answer: C
A can do a piece of work in 40 days; B can do the same in 20 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in?  Select the correct option:  A) 24 days  B) 60 days  C) 86 days  D) 40 days  E) 17 days

Solution: 10/40 + 10/20 + 10/x = 1   x = 40 days   Answer:40 days
Answer: D
A and B start a business jointly. A invests Rs.16000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B?	Choices: A) 12819 B) 12800 C) 12801 D) 92801 E) 12802

Solution: 16*8: x*4 = 5:2   x = 12.8 => Rs.12800   Answer12800
Answer: B
A man engaged a servant on the condition that he would pay him Rs.500 and a uniform after one year service. He served only for 9 months and received uniform and Rs.250, find the price of the uniform? Choose the correct choice from the following choices
A) s.80	B) s.85	C) s.90	D) s.500	E) s.120

Solution: 9/12 = 3/4 * 500= 
3/4 * 500 = 375
375   250   -------------   125   1/4 -------- 125   1 --------- ?=> Rs.500   ANSWER:s.500
Answer: D
Last year, for every 100 million vehicles that travelled on a certain highway, 100 vehicles were involved in accidents. If 3 billion vehicles travelled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)
Choose the correct choice from the following answers.
A) 288	B) 320	C) 3,000	D) 3,200	E) 28,800

Solution: To solve we will set up a proportion. We know that “100 million vehicles is to 100 accidents as 3 billion vehicles is to x accidents”. To express everything in terms of “millions”, we can use 3,000 million rather than 3 billion. 3,000reating a proportion we have:   100/100 = 3,000/x   3,000ross multiplying gives us:   100x = 3,000 * 100   x = 30 * 100 = 3,000   3,000orrect answer is 3,000.
Answer: C
P and Q started a business investing Rs. 25,000 and Rs. 20,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively? Choose the correct choice from the following answers:
A) 5:4	B) 5:6	C) 4:3	D) 6:5	E) 17:4

Solution: P:Q = 25000 : 20000   = 5:4.   5:4nswer:5:4
Answer: A
Each week, Harry is paid x dollars per hour for the first 30 hours and 2x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 1.5x dollars for each additional hour worked that week. Last week James worked a total of 41 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ?  Choose the correct choice from the following answers.
A) 35.75
B) 36
C) 37
D) 38
E) 39

Solution: James worked for 41 hours hence he earned 40*x+1*1.5x=41.5x dollars;   We know that Harry also earned the same 41.5x dollars, out of which he earned 30x dollars for thefirst 30 hoursplus 11.5x additional dollars. Since for each additional hour he gets 3x dollars then he worked for 11.5x/2x= 5.75 additional hours, so Harry worked for total of 30+5.75  11.5 /2= 
  11.5 /2 = 5.75
5.75 additional hours, so Harry worked for total of 30+5.75= 
30+5.75 = 35.75
35.75 hours.   35.75nswer: 35.75.
Answer: A
Eesha bought two varities of rice costing 50Rs per kg and 60 Rs per kg and mixed them in some ratio.Then she sold that mixture at 70 Rs per kg making a profit of 20 % What was the ratio of the micxture?  Pick one:
A) 1 : 9  B) 1 : 5  C) 1 : 7  D) 1 : 3  E) 1 : 1

Solution: Selling price of the mixture = 70 and profit = 20%   Cost price of the mixture = 70×100120=70×5670×100120=70×56   1 : 5y applying alligation rule:   So ratio = 60−1753:1753−5060−1753:1753−50 = 1 : 5   Answer:1 : 5
Answer: B
A train 300 m long can cross an electric pole in 30 sec and then find the speed of the train?
Choose one:
A) 76 Kmph
B) 54 Kmph
C) 72 Kmph
D) 36 Kmph
E) 91 Kmph

Solution: Length = Speed * time   Speed = L/T   S = 300/30= 
300/30 = 10
10 M/Sec   Speed= 10*18/5 (To convert M/Sec in to Kmph multiply by 18/5)   Speed = 36 Kmph   Answer: 36 Kmph
Answer: D
Find the quotient when total no. Of divisors of 16! is divided by right most non-zero digit of 15! Choose the correct option:
A) 672	B) 682	C) 692	D) 745	E) 845

Solution: first find the factors of 16!   and then divide with non zero digit of 15!   factors of 16!   prime no below 16 are 2 3 5 7 11 13   now highest power of 2 in 16! is 15   3is 6,5 is 3,7 is 2,11,is 1,13 is 1   so no of factors is   16*7*4*3*2*2= 
  16*7*4*3*2*2 = 5_376
5376   now last digit in 15!   it can be written as 2^11*3^6*5^3*7^2*11^1*13*1   5^3*2^3 gives 0 so remaining is 2^3=8   therefore  5376/8= 
 5376/8 = 672
672   672NSWER:672
Answer: A
The product of the digits of the four-digit number R is 36. No two digits of are identical. How many different numbers are possible values of R ?	Choose the correct choice.
A) 6 B) 12 C) 24 D) 36 E) 48

Solution: The main question here is how can you arrange 4 different digits R. We don't even need to find the number. from the question itself we know that there are 4 different digits and none of them is 0 as the product is non-zero.   Therefore no of ways to arrange 4 diff. digits is 4! which is 24   hence 24
Answer: C
A deer takes 3 leaps for every 5 leaps of a fox. If one leap of the deer is equal to 3 leaps of the fox, the ratio of the speed of the deer to that of the fox is :	Choose the correct answer:
A) 8:5  B) 9:5  C) 8:7  D) 9:7  E) None of these

Solution: Explanation :   Deer : Fox = (3*3) leaps of fox : 5 leaps of fox = 9 : 5.   Answer : 9:5
Answer: B
A fill pipe can fill 1/2 of cistern in 35 minutes. In how many minutes, it can fill 1/2 of the cistern?  Choose the correct choice from the following answers:
A) 20 min B) 25 min C) 30 min D) 35 min E) 40 min

Solution: Required time = 35*2*1/2 = 20 minutes   Answer is 35 min
Answer: D
A gets 3 times as much money as B gets, B gets only Rs.25 more then what C gets. The three gets Rs.645 in all. Find the share of B? Choose the correct choice from the following.
A) 134
B) 120
C) 218
D) 140
E) 145

Solution: 134+B+C = 645   134 = 3B   3B+B+B-25 = 645   5B = 670   B = 134   134nswer: 134
Answer: A
Kelly invested Rs. 1850 at 82 to obtain an income of Rs. 172, calculate the dividend from his stock.
Choose the correct choice from the following answers:  A) 4.6  B) 7.6  C) 6.6  D) 3.6  E) 5.6

Solution: 7.6y investing Rs.1850, income = Rs.172   7.6y investing Rs.82, income = 172Ã—82/1850=7.6   ie, dividend = 7.6%   Answer is 7.6.
Answer: B
If the simple interest on a sum of money for 6 years at 12% per annum is Rs. 700, what is the compound interest on the same sum at the rate and for the same time? Select the correct option.
A) 746.77
B) 945.77
C) 946.77
D) 246.77
E) 926.77

Solution: Sum = (700 * 100) / (6 * 12) = Rs. 972.22   C.I. on Rs. Rs. 972.22 for 6 years at 12% = Rs. 1,918.99.   = Rs. 1,918.99 - 972.22 = Rs. 946.77   ANSWER:946.77
Answer: C
What is the angle between the two hands at 8.20 O'clock? Choose the correct choice from the following answers
A) 150 degree
B) 120 degree
C) 130 degree
D) 250 degree
E) 320 degree

Solution: angle=|11/2(min)-30(hrs)|   =|11/2(20)-30(8)|   =|110-240|   =130 deg   ANSWER:130 degree
Answer: C
The fourth proportional to 12, 14 and 12 is?  Choose the correct choice from the following
A) 14  B) 66  C) 77  D) 88  E) 99

Solution: (14*12)/12= 
(14*12)/12 = 14
14   14nswer: 14
Answer: A
The speed of a boat in still water is 24 kmph. What is the speed of the stream if the boat can cover 64 km downstream or 32 km upstream in the same time?  Options:
A) 8 kmph  B) 6 kmph  C) 7 kmph  D) 5 kmph  E) 4 kmph

Solution: X = the speed of the stream   (24 + X) / (24 - X) = 2/1   24+ X = 48 - 2X   3X = 24   X = 8 km/hour   If the speed of the stream is 8km/hour, then the 'downstream' speed of the boat is   24+8= 
  24+8 = 32
32km/hour and the 'upstream' speed of the boat is 24-8= 
24-8 = 16
16km/hour. In that way, if the boat traveled for 2 hours, it would travel 2x32= 64km downstream and 2x16 = 32km/hour upstream.   8 kmphnswer : 8 kmph
Answer: A
If -1 < a < 0 < b < 1, which of the following must be less than 0?
I.	a/b
II.	b/a
III.	ab
Choose the correct choice
A) I only
B) II only
C) III only
D) I,II and III
E) None of the above

Solution: We could solve this easily using examples.   I is true since a<0, b>0 therefore a/b<0   II is true since a<0, b>0 therefore b/a<0   III is true since a<0, b>0 therefore ab<0   So, the answer is I,II and III
Answer: D
A train running at the speed of 90 km/hr crosses a pole in 9 seconds. Find the length of the train.
Choose the correct choice from the following options
A) 150 meter B) 225 meter C) 186 meter D) 288 meter E) 265 meter

Solution: Speed = 90*(5/18) m/sec   = 25 m/sec   Length of Train (Distance)   = Speed * Time     25 * 9= 
  25 * 9 = 225
225 meter   Answer:225 meter
Answer: B
Today is Thursday. The day after 50 days will be?
Choose the correct answer
A) Monday
B) Tuesday
C) Saturday
D) Sunday
E) Friday

Solution: Fridayxplanation:   50 days = 7 weeks 1 days = 1 odd days   Hence if today is Thursday, After 50 days, it will be = (Thursday + 1 odd days)   = Friday   Answer: Option Friday
Answer: E
Two articles were sold at Rs. 480 each. On one, he gains 20% and on the other, he loses 12%. How much does he gain or lose in the whole transaction?
Choose the correct choice.
A) 0.54%
B) 1.54%
C) 2.54%
D) 3.54%
E) 4.54%

Solution: for the 1st article,cost price   =(100*480)/(100+20)= 
(100*480)/(100+20) = 400
400   for the 2nd article,cost price=(100*480)/(100-12)=545.45   total CP=400+545.45= 
400+545.45 = 945.45
945.45   total SP=480+480= 
480+480 = 960
960   so profit=960-945.45= 
960-945.45 = 14.55
14.55   %gain=(14.55*100)/945.45=1.54%   ANSWER:1.54%
Answer: B
In how many different ways can the letters of the word ‘HOPE’ be arranged ?  Select:
A) 40320
B) 720
C) 120
D) 100
E) 24

Solution: 24   24   Required number of arrangements = 4! = 24
Answer: E
Three pipes A, B and C can fill a tank in 7 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 9 hours. How many hours will take C alone to fill the tank?	Choose the correct choice from the following answers.
A) 42/5 B) 47/4 C) 56/3 D) 63/4 E) 70/8

Solution: The rate of A+B+C is 1/7 of the tank per hour.   After 2 hours, the tank is 2/7 full.   The rate of A+B is 5/7 * 1/9 = 5/63 of a tank per hour.   The rate of C is 1/7 - 5/63 = 4/63   C can fill the tank in 63/4 hours.   The answer is 63/4.
Answer: D
In how many ways can a group of 15 friends be seated round 2 tables if one of the tables can seat 10 and the other can seat 5 people?	Pick
A) 15C5 * 9! *4!	B) 15C3 * 8! *3!	C) 15C4 * 9! *3!	D) 15C2 * 10! *3!	E) 16C5 * 10! *4!

Solution: 10 people can be selected from 15 people in 15C10 ways.   Remaining 5 people can be selected from 5 people in 5C5 ways.   Now, arranging 10 people on a round table = (10-1)= 
(10-1) = 9
9!   15C5 * 9! *4!rranging 5 people on a round table= (5-1)= 
(5-1) = 4
4!   Hence, total number of ways= 15C10 * 9! * 5C5 * 4!   = 15C5 * 9! * 4!   15C5 * 9! *4!NSWER:15C5 * 9! *4!
Answer: A
The number of bacteria in a petri dish increased by 50 percent every 2 hours. If there were 108 million bacteria in the dish at 2: 00 p.m., at what time will there be 243 million bacteria in the dish? Choose the correct choice from the following answers:
A) 6: 00 p.m.
B) 8: 00 p.m.
C) 6: 00 a.m.
D) 8: 00 a.m.
E) 10: 00 a.m.

Solution: Given:   he number of bacteria in a petri dish increased by 50 percent every 2 hours   There were 108 million bacteria in the dish at 2: 00 p.m   Since the bacteria is increasing by 50% every 2 hours, this means that the number is multiplied by 1.5 every 2 hours.   Required: At what time will there be 243 million bacteria in the dish?   Assume that there are n intervals of 2 hours between 108 million and 243 million.   108 * (1.5)^n = 243   (3/2)^n = 243/108 = 9/4= (3/2)^2   Hence n = 2 intervals.   Each interval is of 2 hours. Therefore, the number of hours = 4   Adding 4 hours to 2 PM, we get 6 PM as the answer.   Option 6: 00 p.m.
Answer: A
An urn contains g green marbles and b blue marbles. If 1 green marbles and 5 blue marbles are added, and then one marble is selected at random from the urn, what is the probability that a blue marble will be drawn?	Choose the correct choice from the following answers.
A) b/(b+g) B) (b+5)/(g+3) C) (b+5)/(b+g+8) D) (b+5)/(b+g+6) E) b/(b+g+5)

Solution: no of fav outcomes i.e. blue MArbles = b+5   Total no of outcomes i.e. total Marbles = (b+5)+(g+1)= b+g+6   probability = (b+5) /(b+g+6)   Answer (b+5)/(b+g+6)
Answer: D
If 60! × 60!/60^n is an integer, what is the largest possible value of n? Pick
A) 1
B) 7
C) 14
D) 28
E) 32

Solution: 60! × 60!/60^n is an integer.   Or 60! × 60!/(6^2n*5^n)   This means we need to find the power of 5 in the numerator. We can safely say that the number of powers of 5 will be lower than the number of powers of 4 in the numerator.   Largest power of 5 in 60! = [60/5] + [60/25] = 14   Since there are 2 20!'s, power of 14 in the numerator = 2*14= 
2*14 = 28
28   Hence the largest value of b for which 60! × 60!/60^n is integer= 28   Correct Option : 28
Answer: D
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero? Choices:
A) 8	B) 10	C) 12	D) 15	E) 19

Solution: Average of 20 numbers = 0.   Sum of 20 numbers (0 x 20) = 0.   It is quite possible that 19 of these numbers may be positive and if their sum is a then 20th number is (-a).   Option 19
Answer: E
When 24 is divided by the positive integer c, the remainder is 4. Which of the following statements about c must be true?
I. c is even
II. c is a multiple of 5
III. c is a factor of 20
Select the correct option.
A) III only	B) I and II only	C) I and III only	D) II and III only	E) I, II, and III

Solution: 24= m*n + 4   m*n=20   put values of m   m=1 c=20   m=2 c=10   m=4 c=5   I. not true   II. true   III. true   D. correct
Answer: D
A starts at 11:00AM and travels at a speed of 4km/hr. B starts at 1:00PM and travels at 1km/hr for the first 1hr and 2km/hr for the next hr and so on. At what time they will meet each other ?	Choose the correct choice from the following choices
A) 9:38pm
B) 9:48pm
C) 9:58pm
D) 9:28pm
E) 9:18pm

Solution: though there is no mention of direction,we hav to consider that both A&B starts from same side.   let at the end of 10hr(i.e at 9pm from 11am),A travelled 40kms in 10hr and B travelled 36kms(1+2+..+8)in 8 hr.   we cant take 11 hr bcoz after 11hr(i.e at 10pm)B has crossed A.   so,A & B are  (40-36)= 
 (40-36) = 4
4kms far from each other.   now speed of A=4km/hr & B=9km/hr.   relative speed= 9-4= 
9-4 = 5
5km/hr.   so,time taken by them to meet= (4/5)hrs=48min.   so A and 9:48pm meet At 9:48pm   ANSWER:9:48pm
Answer: B
Replace the ? with an approximate value in the following equation? 95.921 + 35.421 × 5.2 + ? = 705.621 Choose the correct choice from the following answers.
A) 791.9  B) 783.9  C) 793.9  D) 973.9  E) 733.9

Solution: 95.921 + 35.421 × 5.2 + ? = 705.621   or, ? = 705.621 – 95.921 + 35.421 × 5.2   ? = 705.621 – 95.921 + 184.1892   ≈ 793.9   Answer 793.9
Answer: C
Monica planned her birthday party. She prepared 5 muffins for each of her guests and kept aside two additional muffins in case someone will want extra. After the party, it turned out that one of the guests didn't come but every one of the guests that did come ate six muffins and 6 muffins remained. How many guests did Monica plan on?
Pick one
A) 2.	B) 4.	C) 5.	D) 6.	E) 7.

Solution: Let x be the number of guests.   Number of muffins prepared = 5x + 2   Number of muffins eaten + Number of muffins remaining = Number of muffins prepared   6(x - 1) + 6 = 5x + 2   6x = 5x + 2   x = 2   2.nswer: 2.
Answer: A
Which of the following has most number of divisors?	Select the correct option:
A) 99	B) 101	C) 176	D) 182	E) 186

Solution: Divisors of 99=1,3,9,11,33,99   Divisors of 101=1,101   Divisors of 176=1,2,4,8,11,22,44,88,176   Divisors of 182=1,2,7,13,14,26,91,182   Therefore 176 has most number of divisors.   Option(176)
Answer: C
The difference between C.I. and S.I. on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the rate of interest per annum?  Choose the correct choice from the following choices
A) 8
B) 9
C) 7
D) 6
E) 5

Solution: Explanation:   [15000 * (1 + R/100)2 - 15000] - (15000 * R * 2)/100 = 96   15000[(1 + R/100)2 - 1 - 2R/100] = 96   15000[(100 + R)2 - 10000 - 200R]/10000 = 96   R2 = (96 * 2)/3= 
(96 * 2)/3 = 64
64=> R = 8   Rate = 8%   8nswer:8
Answer: A
When the positive integer e is divided by 5 and 7, the remainder is 3 and 4, respectively. When the positive integer f is divided by 5 and 7, the remainder is 3 and 4, respectively. Which of the following is a factor of e-f? Choices:	A) 12	B) 24	C) 35	D) 16	E) 30

Solution: If I have a number n which when divided by 5 gives a remainder 3 and when divided by 7 gives a remainder 4, the number is of the form:   n = 5e + 3   n = 7f + 4   I will need to check for the smallest such number.   I put f= 1. n = 11. Is it of the form 5e + 3? No.   Put f= 2. n = 18. Is it of the form 5e + 3? Yes.   When 18 is divided by 5, it gives a remainder of 3. When it is divided by 7, it gives a remainder if 4.   Next such number will be 35 + 18 because 35 will be divisible by 5 as well as 7 and whatever is the remainder from 18, will still be the remainder   Next will be 35*2 + 18   and so on...   Difference between such numbers will be a multiple of 35 so your answer is 35.   your answer is 35
Answer: C
By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 50%? Select the correct option.
A) s.429 B) s.480 C) s.320 D) s.128 E) s.419

Solution: SP = 800   Profit = 25%   s.320P = (SP)*[100/(100+P)]   = 800 * [100/125]   = 640   Loss 800 *  100/125= 
800 *  100/125 = 640
640   Loss= 50% = 50% of 640 = Rs.320   SP = s.320P - Loss = 640 - 320   = Rs.320   Answer:s.320
Answer: C
Two persons A and B start moving at each other from point P and Q respectively which are 1400 Km apart. Speed of A is 50 Km/hr and that of B is 20 Km/hr. How far is A from Q when he meets B for the 22nd time?  Choose the correct choice.
A) 1000 Km  B) 400 Km  C) 800 Km  D) 1400 Km  E) 2400 Km

Solution: DETAILED SOLUTION   Total distance travelled by both of them for 22nd meeting = 1400 + 21 x 2 x 1400 = 43 x 1400   Distance travelled by each will be in proportion of their speed:-   Therefore, distance travelled by A = 50/(50 + 20) x 43 x 1400 = 43000 (Note - Always do complicated calculations at last because things cancel out generally)   Now, for every odd multiple of 1400, A will be at Q and for every even multiple of 1400 A will be at P. So, at 42000 Km (1400 x 30, even multiple) A will beat P. So at their 22 meeting, A will be 1000 Km from P, therefore, 400 Km from Q.   CORRECT ANSWER 400 Km.
Answer: B
An inspector rejects 10% of the meters as defective. How many will he examine to reject 20? Choose the correct choice from the following answers.
A) A)100
B) B)120
C) C)250
D) D)200
E) E)160

Solution: Then, 10% of x= 20   (10/100)x = 20   x = (20*100*)/10= 200   Answer is 200
Answer: D
A man buys a cycle for Rs.1400 and sells it at a loss of 10%. What is the selling price of the cycle?
Choose the correct choice from the following
A) Rs.1090	B) Rs.1160	C) Rs.1190	D) Rs.1202	E) NONE

Solution: Solution   S.P	= 90% of Rs.1400   = Rs.(90/100×1400)   Rs.1260.   Answer CNONE
Answer: E
If 144/x is an integer and 180/x is an integer, which of the following must be true?
I. 9/x is an integer.
II. 12/x is an integer.
III. 36/x is an integer.	Select the correct option:
A) I, II, and III
B) I and II only
C) II and III only
D) III only
E) I only

Solution: The largest possible value of x is 36 (the greatest common factor of 108 and 180), and if x=36 then   III only
Answer: D
Two bottles A and B contain diluted ammonium nitric acid. In bottle A, the amount of water is double the amount of acid while in bottle B, the amount of acid is 3 times that of water. How much mixture Should be taken from each bottle in order to prepare 5 litres of diluted sulphuric acid containing equal amount of acid and water?	Pick:
A) 1, 4
B) 3, 2
C) 2, 3
D) 4, 1
E) 1,5

Solution: A B   Acid water Acid water   1 : 2 3 : 1   Acid=1/3 Acid=3/4   Mixture=Acid:Water=1:1 Required acid=1/2   Now,Required ratio=(1/4):(1/6)=3:2   So the required quantity is 3 and 2 litres respectively.   ANSWER:3, 2
Answer: B
How many liters of water must be evaporated from 50 liters of a 3-percent sugar solution to get a 5-percent solution?  Choose the correct option.
A) 35
B) 22.5
C) 27
D) 16 2/3
E) 15

Solution: How many liters of water must be evaporated from 50 liters of a 3-percent sugar solution to get a 5-percent solution?   3% of a 50 liter solution is 1.5L. So you are trying to determine how many liters must a solution be for the 1.5L to represent 5% of the solution. Set up an inequality and solve for x:   1.5/x = 1/5   x = 7.5   Since you need a 15L solution, you must evaporate 22.5 of the original 50L solution to get a 5% solution.   Answer is 22.5.
Answer: B
A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9% p.a. in 5 years. What is the sum? Choose the correct choice from the following
A) 22887 B) 2677 C) 2987 D) 8925 E) 17711

Solution: Principal = (100 * 4016.25) / (9 * 5)   = Rs. 8925.   Answer:8925
Answer: D
The value of x + (xx) when x = 3 is:	Choose the correct choice from the following choices:
A) A)36
B) B)12
C) C)18
D) D)64
E) E)10

Solution: x + (xx)   Put the value of x = 2 in the above expression we get,   3 + (33)   = 3 +(3 × 3)   = 3 + (9)   = 3 + 9= 
3 + 9 = 12
12   12
Answer: B