MU-NLPC/Calc-aqua_rat huggingface dataset:
A large box contains 21 small boxes and each small box contains 25 chocolate bars. How many chocolate bars are in the large box? Choose the correct option:
A) 250	B) 350	C) 450	D) 550	E) 525

Solution: The number of chocolate bars is equal to   21 * 25= 
21 * 25 = 525
525   correct answer 525
Answer: E
A glass was filled with 12 ounces of water, and 0.03 ounce of the water evaporated each day during a 22-day period. What percent of the original amount of water evaporated during this period? Answers:  A) 5.002%  B) 5.5%  C) 0.5%  D) 5%  E) 20%

Solution: In 22 days 22*0.03= 
22*0.03 = 0.66
0.66 ounces of water evaporated, which is 0.66/12âˆ—100=5.5 of the original amount of water.   Answer: 5.5%.
Answer: B
A, B, and C working alone can finish constructing a house in 4, 8, and 12 hours respectively. A starts alone and works for 1 hour. He is then joined by B and they work together for 1 hour. Finally C joins them and they all work together to finish the work. If they start working at 9 am, at what time will they finish? Choose the correct option:  A) 11:12 am  B) 11:32 am  C) 11:49 am  D) 12:07 pm  E) 12:35 pm

Solution: A completes 1/4 of the job each hour.   B completes 1/8 of the work each hour.   C completes 1/12 of the work each hour.   A completes 1/4 of the work in the first hour.   Working together, A and B complete another 3/8 for a total of 5/8.   Working together, A, B, and C can complete 11/24 of the work each hour.   To complete 3/8, the time required is (3/8) / (11/24) = 9/11 hours.   The work will be completed at 11:00 plus 9*60/11 minutes which is about 11:49 am.   The answer is 11:49 am.
Answer: C
An alloy of zinc and copper contains the metals in the ratio 5 : 3. The quantity of zinc to be added to 6 kg of the alloy so that the ratio of the metal may be 3 : 1 is:	Choose the correct choice:
A) 2
B) 9
C) 8
D) 7
E) 4

Solution: Explanation:   In sixteen kg of alloy 10 kg of zinc and 6 kg copper is present   To make the ratio 3:1 we must add 8 kg of zinc to make it 18 kg of zinc and 6 kg copper   So answer is 8.   Answer: 8
Answer: C
I. a3 - 988 = 740,
II. b2 - 72 = 72 to solve both the equations to find the values of a and b?
Choose the correct choice
A) a > b	B) a ≥ b	C) a < b	D) a ≤ b	E) a = b or the relationship between a and b cannot be established.

Solution: a3 = 1728 => a = 12   b2 = 144 => b = ± 12   a ≥ b   ANSWER:a ≥ b
Answer: B
If # is an operation which results in adding the digits of integer until a single digit is left, what is the probability B that a number picked up in first 90 positive integers will have the result of # as an odd digit ?	Choose the correct choice from the following choices: A) (a) 4/10 B) (b) 4/9 C) (c) 1/2 D) (d) 6/10 E) (e) 5/9

Solution: Here is how I did it. Probably there may be better way to do it.   First of all let us find out what is the maximum sum we will get by adding digits of numbers from 1 to 90.   That will be 17 (8+9+17) Why did I calculate this? I will come to that in a moment.   So to get an odd digit by carrying out the operation #, the sum of the digits of the integer should be 1, 3, 5, 7, 9, 10, 12, 14, and 16 (Why not 18? Because we know the maximum sum can be 17)   Number of integers, whose digits add to 1: 1 and 10 = 2   Number of integers, whose digits add to 3: 3, 12, 21, 30 = 4   Number of integers, whose digits add to 5: 5, 14, 23, 32, 41, 50 = 6   Number of integers, whose digits add to 7: 7, 16, 25, 34, 43, 52, 61, 70 = 8   Number of integers, whose digits add to 9: 10 multiples of 9 up to 90 = 10   Number of integers, whose digits add to 10: 19, 28, 37, 46, 55, 64, 73, 82 = 8   Number of integers, whose digits add to 12: 39, 48, 57, 66, 75, 84 = 6   Number of integers, whose digits add to 14: 59, 68, 77, 86 = 4   Number of integers, whose digits add to 16: 79, 88 = 2   So in total there are  2+4+6+8+10+8+6+4+2= 
 2+4+6+8+10+8+6+4+2 = 50
50 such numbers   Probability B= 50/90 = 5/9   Correct answer (e) 5/9
Answer: E
If 3a – 3b – 2c = 32 and √3a-√(2b+2c)=4, what is the value of a + b + c?
Choose the correct option:
A) 3  B) 9  C) 10  D) 12  E) 14

Solution: when we look at the two equations, we can relize some similarity, so lets work on it..   3a – 2b – 2c = 32 can be written as √3a^2-√(2b+2c)^2=32   {√3a-√(2b+2c)}{√3a+√(2b+2c)}=32..   or 4*√3a+√(2b+2c)=32..   or √3a+√(2b+2c)=8..   now lets work on these two equations   1)√3a-√(2b+2c)=4..   2)√3a+√(2b+2c)=8..   A) add the two eq..   √3a+√(2b+2c)+√3a-√(2b+2c)=12..   2√3a=12..   or √3a=6..   3a=36..   a=12.   B) subtract 1 from 2..   √3a+√(2b+2c)-√3a+√(2b+2c)=4..   2√(2b+2c)=4..   √(2b+2c)=2..   2b+2c=4..   or b+c=2..   from A and B a+b+c=12+2=14..   10
Answer: C
The price of an item is discounted 10 percent on day 1 of a sale. On day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 5 percent. The price of the item on day 3 is what percentage of the sale price on day 1? Choose the correct choice from the following choices.
A) 28%	B) 40%	C) 85.5%	D) 70%	E) 72%

Solution: original price = 100   day 1 discount = 10%,price = 100-10= 
100-10 = 90
90   day 2 discount= 10%,price = 90-9= 
90-9 = 81
81   day 3 discount= 5%,price = 81-4.05= 
81-4.05 = 76.95
76.95   which is 76.95/90 *100 of the sale price on day 1= ~8   Answer 85.5%
Answer: C
The average monthly income of P and Q is Rs. 6050. The average monthly income of Q and R is Rs. 7050 and the average monthly income of P and R is Rs. 8000. The monthly income of P+Q+R is:  Choose the correct choice
A) 41100
B) 42000
C) 21100
D) 42200
E) 21000

Solution: Explanation:   Let P, Q and R represent their respective monthly incomes. Then, we have:   P + Q = (6050 x 2) = 12100 .... (i)   Q + R = (7050 x 2) = 14100 .... (ii)   P + R = (8000 x 2) = 16000 .... (iii)   Adding (i), (ii) and (iii), we get: 2(P + Q + R) = 42200 or P + Q + R = 21100 .... (iv)   (P+Q+R)'s monthly income = Rs. 21100.   Answer: 21100
Answer: C
$600 will become $720 in 4 years find the rate of interest?  Choices:	A) 10%	B) 15%	C) 5%	D) 7%	E) 20%

Solution: SI = simple interest = A-P = 720-600= 
720-600 = 120
$120   R= 100SI/PT = 100*120/600*4 =5%   Answer is 5%
Answer: C
Hardy and Andy start a two-length swimming race at the same moment but from opposite ends of the pool. They swim in lanes at uniform speeds, but Hardy is faster than Andy. They 1st pass at a point 18.5m from the deep end and having completed one length each 1 is allowed to rest on the edge for exactly 50 sec. After setting off on the return length, the swimmers pass for the 2nd time just 10.5m from the shallow end. How long is the pool? Choose one.
A) 65 B) 25 C) 35 D) 45 E) 55

Solution: let x=length of pool   at first meeting, combined distance=x   at second meeting, combined distance=3x   if andy swims 18.5 m of x, then he will swim  3*18.5= 
 3*18.5 = 55.5
55.5 m of 3x   andy's total distance to second meeting=x+10.5 m   x+10.5=55.5 m   x=45 m   45
Answer: D
A train covers a certain distance at a speed of 280kmph in 4 hours. To cover the same distance in 2 hours, it must travel at a speed of	Pick:  A) 500km/hr  B) 540km/hr  C) 560km/hr  D) 600km/hr  E) 650km/hr

Solution: Explanation:   Distance = 280×4 = 1120km   Required speed = (1120/2)= 
(1120/2) = 560
560km/hr   Answer: Option 560km/hr
Answer: C
If the units digit of n^27 is 7, which of the following could be the value of n?
I. n = 41
II. n = 43
III. n = 47  Select:
A) Only I
B) Only II
C) Only III
D) I and II
E) II and III

Solution: I tried in this way.   Given n^27 units digit is 7.   If at all we have to get 7 as units digits only 3 and 7 series has 7   3^! = 3 , 3^2 = 9 , 3^3 = 27 , 3^4 = 81   7^1 = 7, 7^2 = 49 , 7^3 = 3 (units ) , 7^4 = 1 (units)   We have n^27 - then divide 27 by 4 = reminder 3.   Then we have for only 7^3 - we have units digit as 3.   Hence 47^27 = 7 (units).   Option Only II is correct answer , and with 41^27 we always get 1 as units digit and 43^27 - we get units as 3.
Answer: B
Sound is said to travel in air at about 1100 feet per second. A man hears the axe striking the tree, 11/5 seconds after he sees it strike the tree. How far is the man from the wood chopper? Choose the most appropriate option:
A) 2197 feet
B) 2420 feet
C) 2500 feet
D) 2629 feet
E) None of these

Solution: Distance =(1100*11/5)= 
(1100*11/5) = 2_420
2420 feet.   Correct Option: 2420 feet
Answer: B
Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $200, what were her original savings?	Select the correct option
A) $900  B) $800  C) $1000  D) $700  E) $1500

Solution: If Linda spent 3/4 of her savings on furnitute, the rest   4 / 4 - 3 / 4 = 1 / 4 on a TV   But the TV cost her $200. So 1 / 4 of her savings is $200. So her original savings are 4 times $200 = $800   correct answer $800
Answer: B
I bought a book for Rs 60 , I sold off to a friend for Rs 70 but after a while i felt sorry , that i sold it and bought it back for Rs 80, how much loss did I incur?  Choose the correct option
A) 10 B) 15 C) 20 D) 25 E) 30

Solution: profit 70-60= 
70-60 = 10
10   b p=80-60= 
80-60 = 20
20   20-10= 
20-10 = 10
10 loss.   10NSWER:10
Answer: A
What is the sum of all 3 digit positive integers that can be formed using the digits 1, 5, and 8, if the digits are allowed to repeat within a number T?	Choose the correct choice from the following:
A) 126
B) 1386
C) 3108
D) 308
E) 13986

Solution: As we are using digits 1,5, 8 and digits are allowed to repeat. Each of the unit, tenth and hundredth digit can be used by each of three digits.   So,Total possible numbers with these digits=3 X 3 X 3 =27.   First, As we have 27 three digit number, Sum will be for sure more than 2700..Eliminate options A,B,D   Second, If you imagine numbers T with the given digits 1,5,8. We have numbers like 888,885,855,858,851. Sum is for sure more than 4000.Eliminate option C.   You are left withanswer 13986.
Answer: E
Due to 10% decrease in the price of sugar and John can buy 6kg more sugar in Rs100 , then find the CP of sugar? Select: A) s. 1(23/27) B) s. 2(2/9) C) s. 2(1/9) D) s. 3(2/7) E) s. 4(2/9)

Solution: Here r = 10 % ,x = 100 and A = 6 kg   Actual price of sugar = 10*100/((100-10 )*6) = Rs. 1(23/27)   s. 1(23/27)
Answer: A
If a copier makes 20 copies every 6 seconds, then continues at this rate, how many minutes will it take to make 2,000 copies? Choose the correct choice from the following answers
A) 13  B) 15  C) 12  D) 11  E) 10

Solution: 20 copies 6 seconds   2000 copies = (2000*6)/20= 
(2000*6)/20 = 600
600/60= 
600/60 = 10
10 minutes   Answer : 10
Answer: E
Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?	Pick:
A) Rs.200 B) Rs.250 C) Rs.290 D) Rs.300 E) Rs.310

Solution: Let the amount paid to X per week = x   and the amount paid to Y per week = y   Then x + y = 550   Rs.250ut x = 120% of y = 120y/100 = 12y/10   ∴12y/10 + y = 550   ⇒ y[12/10 + 1] = 550   ⇒ 22y/10 = 550   ⇒ 22y = 5500   ⇒ y = 5500/22 = 500/2 = Rs.250   Rs.250)
Answer: B
Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?  Choose the correct choice from the following options:
A) 2007  B) 2008  C) 2002  D) 2000  E) 2001

Solution: (10*10)/100= 
(10*10)/100 = 1
1%loss   100 --- 99   ? --- 1980=> Rs.2000   Answer: 2000
Answer: D
The ratio of the cost price and the selling price is 4:5. The profit percent is: Choose the most appropriate option.
A) 233	B) 37	C) 25	D) 27	E) 11

Solution: Explanation:   Let C.P. = Rs. 4x. Then, S.P. = Rs. 5x   Gain = (5x - 4x) = Rs. x   Gain % = (x * 100)/ 4x = 25%.   Answer: 25
Answer: C
If a book is sold at 6% profit instead of 6% loss, it would have brought Rs 15 more. Find out the cost price of the book  Pick:
A) 75
B) 72
C) 60
D) 70
E) 125

Solution: Let C.P. of the book be Rs. ’X’   Given, 1.06 X - 0.94X = 15   => 0.12 X = 15 = 15/0.12= 
15/0.12 = 125
Rs 125   ANSW125R:125
Answer: E
A man walking at 3/4th of the speed, reaches his office late by 2 hours. What is the usual time? Choose the most appropriate option.
A) 5 hours	B) 3 hours	C) 6 hours	D) 12 hours	E) 15 hours

Solution: at 3/4th of speed he is late by' 2hrs'   x-3/4(x)=2   x=8   so 8-2= 
8-2 = 6
6hrs(since 2 hrs late)   ANSWER:6 hours
Answer: C
The end of a blade on an airplane propeller is 10 feet from the center. If the propeller spins at the rate of 660 revolutions per second, how many miles will the tip of the blade travel in one minute? (1 mile = 5,280 feet) Choose one:
A) 150π B) 240π C) 300π D) 480π E) 1,200π

Solution: Distance traveled in 1 revolution = 2πr= 2π10/5280   Revolutions in one second= 660   Revolutions in 60 seconds (one minute)= 660*60   Total distance traveled= total revolutions *distance traveled in one revolution   660*60 *2π10/5280= 150π   150π is the answer
Answer: A
A man sells two flats at the rate of Rs.1.995 lakhs each. On one he gains 5% and on the other, he loses 5%. His gain or loss percent in the whole transaction is	Choose the correct choice from the following choices
A) 0.25% loss	B) 0.25% gain	C) 2.5% loss	D) 25% loss	E) None

Solution: Solution   Loss %	= (5/ 10) ²%   =(0.5) ²%   = 0.25%.   0.25% lossnswer 0.25% loss
Answer: A
Five machines at a certain factory operate at the same constant rate. If four of these machines, operating simultaneously, take 40 hours to fill a certain production order, how many fewer hours does it take all five machines, operating simultaneously, to fill the same production order?
Choose the correct choice from the following.
A) 3	B) 5	C) 6	D) 8	E) 24

Solution: Total work = 4*40 machine hrs   Time taken = 4* 40 /5= 
4* 40 /5 = 32
> 32 hours...   Thus all five machines, operating simultaneously will take ( 40 - 32 ) 8 hours..   Answer will be (8) 8
Answer: D
Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank? Select the correct option.
A) 15 min  B) 20 min  C) 25 min  D) 30 min  E) 12 min

Solution: A in 1 min = 1/20   B in 1 min = 1/30   (A+B) in 1 min = 1/12   both pipes fill in =>12 min   ANSW12 minR 12 min
Answer: E
If (2^x)(3^y) = 576, where x and y are positive integers, then (2^x-1)(3^y-2) equals:
Choices
A) 16	B) 24	C) 32	D) 96	E) 144

Solution: So I would start attacking this problem by quickly performing the prime factorization of 288. With that it is easy to count the 5 twos and the 2 threes that are the prime factors. So x=6, y=2. now quickly 2^5(3^0)=32. Than answer should be number 3.   32
Answer: C
find cp when sp=rs51.70:loss=12%
Choose the correct choice from the following options
A) Rs 58.75 B) Rs 88.75 C) Rs 68.75 D) Rs 98.75 E) Rs 78.75

Solution: cp=Rs{(100/88)*51.87}=Rs58.75   Rs 58.75nswer is Rs 58.75.
Answer: A
If 72 men can do a piece of work in 25 hours, in how many hours will 15 men
do it ?  Choose the correct answer: A) 120 hours B) 110 hours C) 100 hours D) 90 hours E) 80 hours

Solution: Let the required number of hours be x. Then,   Less men, More hours	(Indirect Proportion)   15 : 72 : : 25 : x<=>(15 x x) =(72 x 25)<=>(72 x 25)/15 = 120   Hence, 15 men can do it in 60 hours   120 hoursnswer is 120 hours.
Answer: A
The sum of the even numbers between 1 and n is 85*86, where n is an odd number, then n=?	Choose the correct choice from the following answers
A) 163 B) 171 C) 179 D) 185 E) 191

Solution: Let n-1 = 2a.   2+4+...+2a = 2*(1+2+...+a) = 2*(a)(a+1)/2 = (a)(a+1) = 85*86   Then a = 85 and n = 171.   The answer is 171.
Answer: B
5% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning?	Choose the correct option.
A) 2277  B) 2987  C) 4400  D) 2678  E) 2681

Solution: X * (95/100) * (85/100) = 3553   X = 4400   Answer:4400
Answer: C
The difference between simple and compound interest on Rs. 1200 for one year at 10% per annum reckoned half-yearly is?	Answers:  A) 7  B) 3  C) 4  D) 5  E) 1

Solution: S.I. = (1200 * 10 * 1)/100 = Rs. 120   C.I. = [1200 * (1 + 5/100)2 - 1200] = Rs. 123 Difference = (123 - 120) = Rs. 3.   Answer: 3
Answer: B
The Royal Hawaiian Hotel decorates its Rainbow Christmas Tree with non-flashing white lights and a series of colored flashing lights - red, blue, green, orange, and yellow. The red lights turn red every 20 seconds, the blue lights turn blue every 30 seconds, the green lights turn green every 45 seconds, the orange lights turn orange every 60 seconds, and yellow lights turn yellow every 1 minute and 20 seconds. The manager plugs the tree in for the first time on December 1st precisely at midnight and all lights begin their cycle at exactly the same time. If the five colored lights flash simultaneously at midnight, what is the next time T all five colored lights will all flash together at the exact same time?	Choose one
A) 0:03 AM  B) 0:04 AM  C) 0:06 AM  D) 0:12 AM  E) 0:24 AM

Solution: Time taken by each light to on   Red = 20 secs   Blue = 30 secs   Green = 45 secs   Orange = 60 secs   Yellow = 80 secs   We need to take LCM to find the time all five colored lights will flash together.   LCM = 720 secs   =12 mins   =0.12 AM   Ans = 0:12 AM
Answer: D
Three investors, M, N, and O, divide the profits from a business enterprise in the ratio of 5 : 7 : 8, respectively. If investor M earned $ 3,500, how much money did investors N and O earn in total? Pick one.
A) $4,000  B) $4,900  C) $5,600  D) $9,500  E) $10,500

Solution: Let profit for M = 5x   profit for N = 7x   profit for O = 8x   Investor A earned = 3500   5x = 3500   Total profit for N and O = 7x+ 8x = 15x   Therefore , 15x 7 + 8= 
7 + 8 = 15
15x   Therefore , 15x= 5x * 3 = 3500 * 3 = 10,500   Answer $10,500
Answer: E
The ages of two person differ by 20 years. If 5 years ago, the elder one be 5 times as old as the younger one, their present ages(in years) are respectively Choose the correct answer.
A) 30, 10	B) 25, 5	C) 29, 9	D) 50, 30	E) 20,10

Solution: Let their ages be x and (x + 20) years.   Then, 5(x - 5) = (x + 20 - 5)   => 4x = 40   =>x =10   Their present ages are 30 years and 10 year.   30, 10NSWER:30, 10
Answer: A
How many different positive integers are factors of 125 ? Choices
A) 1  B) 2  C) 3  D) 4  E) 5

Solution: 125=5*25   Answer : 2
Answer: B
Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?  Answers:
A) Rs.150 B) Rs.200 C) Rs.250 D) Rs.350 E) Rs.400

Solution: Let the amount paid to X per week = x   and the amount paid to Y per week = y   Then x + y = 550   But x = 120% of y = 120y/100 = 12y/10   ∴12y/10 + y = 550   ⇒ y[12/10 + 1] = 550   ⇒ 22y/10 = 550   ⇒ 22y = 5500   ⇒ y = 5500/22 = 500/2 = Rs.250   Rs.250)
Answer: C
A bag contains 4 red and 3 black balls. A second bag contains 2 red and 4 black balls. One bag is selected at random. From the selected bag, one ball is drawn. Find the probability that the ball drawn is red	Choose the correct choice from the following answers.
A) 23/42
B) 19/42
C) 7/32
D) 16/39
E) 17/39

Solution: A red ball can be drawn in two mutually exclusive ways   (i) Selecting bag I and then drawing a red ball from it.   (ii) Selecting bag II and then drawing a red ball from it.   Let E1, E2 and A denote the events defined as follows:   E1 = selecting bag I,   E2 = selecting bag II   A = drawing a red ball   Since one of the two bags is selected randomly, therefore   P(E1) = 1/2 and P(E2) = 1/2   Now, P[A/E1] =Probability of drawing a red ball when the first bag has been selected = 4/7   P[A/E2] = Probability of drawing a red ball when the second bag has been selected = 2/6   Using the law of total probability, we have   P(red ball) = P(A) = P(E1)P(A/E1)+ P(E2)P(A/E2)   = 1/2x4/7x + 1/2x2/6 = 19/42   Answer is 19/42
Answer: B
In a contest, a bowl contains 5 keys, one of which will open a treasure chest and Four of which will not. If a contestant selects the key that opens the treasure chest, she wins the contents of that chest. If priya is allowed to draw two keys, simultaneously and at random, from the bowl as the first contestant, what is the probability that she wins the prize? Choose the most appropriate option:	A) 2/7	B) 2/5	C) 2/9	D) 2/11	E) 2/13

Solution: The total possibilities existing while withdrawing two keys are: 5C2 = 10   For priya to win, 4 combinations exist assuming Key 1 to unlock the treasure E.g(1,2), (1,3)....(1,4)   P = 4/10= 2/5   Option 2/5
Answer: B
A person has uncovered a secret that was a mystery for ages. He transfers the data into his hard drive and encrypts the drive with a password. Then, he writes a line on a paper to remember the password.
The line says 'You force heaven to be empty'.
Can you decrypt the line to reveal the password if you know that the password is seven characters long that comprise of just letters and numbers?
Choose the correct answer:	A) M472BMT	B) U472BMT	C) S472BMT	D) D472BMT	E) V472BMT

Solution: B   The password is U472BMT.   Read aloud the line and you will sound something like "U Four Seven 2 U472BMT M T".
Answer: B
Bill has d animals, 24 of which were sold at a profit of 10% each while the rest were sold at a loss of 20% each. Overall, Bill made neither a profit nor a loss. Which of the following is equal to d?	Choose the correct choice:
A) 6
B) 12
C) 18
D) 24
E) 36

Solution: Total d animals, suppose each has price of x - total price = dx   now 24 were sold at profit of 10%, making equation - - 24*1.1x   now d-24 were sold at loss of 20%, making eqn --- (d-24)*0.8x   Now he made no profit or loss so,   dx = 24*1.1x + (d-24)*0.8x   solving for d, we get d=36   Ans 36
Answer: E
Given that 2x + 7 > 5 and 5x - 13 < 7, all values of x must be between which of the following pairs of integers?
Choose the correct choice from the following
A) -4 and -1  B) -1 and 4  C) -4 and 1  D) -2 and 5  E) 2 and 5

Solution: 2x + 7 > 5   i.e 2x >5-7   i.e. 2x > -2   i.e. x > -1   Also, 5x - 13 < 7   i.e. 5x <7+13   i.e 5x < 20   i.e x < 4   i.e. -1 < x < 4   Answer: Option -1 and 4
Answer: B
A Man is on the escalator moving down wards and in a hurry he also steps down 10 steps manually and by the time he has 10 steps he is on the ground floor.Then by hearing some noise in the escalator he ran back in the same escalator with 10 times speed than the 1st time and he has 25 steps to reach the 1st floor. Then the question is how many steps will be visible if escalator is switched off? Choose the most appropriate option:  A) 10  B) 11  C) 12  D) 13  E) 14

Solution: When man is moving downwards =10+n (n and x=steps taken by escalator)   When man is running upwards =25 - x   according to question,   when man walks 10 step in down then he should take 100 steps in up,   so,   10+n = 25-(n/4)   n=12   So, no. of steps will be 12.   ANSWER:12
Answer: C
In three annual examinations, of which the aggregate marks of each was 500, a student secured
average marks 45% and 55% in the first and the second yearly examinations respectively. To secure 55% average total marks, it is necessary for him in third yearly examination to secure marks : Choose the most appropriate option:
A) 300 B) 325 C) 400 D) 450 E) 500

Solution: total marks:1500 for three exams   55% of 1500=825   first exam marks=45% of 500=225   second exam marks=55% of 500=275   let X be the third exam marks   225 + 275 + X =825   X=325   ANSWER:325
Answer: B
Two persons starting from the same place walk at a rate of 12kmph and 18kmph respectively. What time will they take to be 18km apart, if they walk in the same direction?
Options: A) 17 hrs B) 3 hrs C) 5 hrs D) 2 hrs E) 16 hrs

Solution: The relative speed of the boys = 18kmph – 12kmph   = 6 kmph   Distance between them is 18 km   Time= 18km / 6 kmph = 3 hrs   Answer : 3 hrs
Answer: B