MU-NLPC/Calc-aqua_rat huggingface dataset:
If money is invested at r percent interest, compounded annually, the amount of investment will double in approximately 70/r years. If Pat's parents invested $ 5000 in a long term bond that pays 8 percent interest, compounded annually, what will be the approximate total amount of investment 18 years later, when Pat is ready for college? Choose the correct choice from the following.
A) 20000 dollars  B) $15000  C) $12000  D) $10000  E) $9000

Solution: Since investment doubles in 70/r years then for r=8 it'll double in 70/8=~9 years (we are not asked about the exact amount so such an approximation will do). Thus in 18 years investment will double twice and become ($5,000*2)*2=$20,000 (after 9 years investment will become $5,000*2=$10,000 and in another 9 years it'll become $10,000*2=$20,000).   20000 dollarsnswer: 20000 dollars.
Answer: A
Two trains of length 120 m and 280 m are running towards each other on parallel lines at 32 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Select
A) 33 1/5 sec  B) 23 1/5 sec  C) 24 1/5 sec  D) 23 3/5 sec  E) 20 1/5 sec

Solution: Relative speed = (32 + 30) * 5/18 = 4 * 5 = 17.22 mps.   Distance covered in passing each other = 120 + 280= 
120 + 280 = 400
400 m.   The time required= d/s = 400/20 = 23 1/5 sec.   ANSWER:23 1/5 sec
Answer: B
The 201st term of the series a, b , b, c, c, c, d, d, d, d, e, e, e, e, e, .... is Choose the most appropriate option
A) r	B) s	C) t	D) u	E) v

Solution: a is one time, b,2 times so on...   so 201=n(n+1)/2..   0r n(n+1)= 402 ... now 19*20=380...20*21<402 so x= 20.. and 20th alphabet is T ans u
Answer: D
If the average (arithmetic mean) of the four numbers K, 3K + 3, 3K – 4 and 5K + 1 is 60, what is the value of K?	Choose the correct choice from the following:	A) 11	B) 15 3/4	C) 20	D) 23	E) 25 3/10

Solution: K + 3K +3 + 3K - 4 + 5K +1 = 12K   (12K)/4 = 60   12K = 60 * 4= 
60 * 4 = 240
240   K= 240/ 12= 
240/ 12 = 20
20.   Answer 20.
Answer: C
Will must choose a 3-character computer password, consisting of 3 letter from the alphabet , in any order.From how many different passwords can Will choose? Choose the correct choice from the following options.
A) 390	B) 2,340	C) 93,600	D) 7,020	E) 14,040

Solution: 26C1*25C1*24C1 = 15600   => 2340 * 3 ! = 93,600.   Option E is correct answer...but OA is 93,600.
Answer: C
John's Ice Cream Shop sells ice cream at m cents a scoop. For an additional n cents, a customer can add 2 toppings to his or her sundae. How much would a sundae with 2 scoops and 2 toppings cost, in terms of m and n?  Choose the correct option:
A) 2m+2n B) 2m+n C) 3m+n D) 4m+n E) 5m+n

Solution: Answer 2m+n 2m+n
Answer: B
From a pack of 52 cards, one card is drawn. What is the probability that the card drawn is a face card (Jack, Queen and King only)? Choose the correct choice
A) 1/13  B) 3/13  C) 13/13  D) 8/13  E) 6/13

Solution: Answer:	Solution   Let S be the sample space. Then,   n(S) = 52C1	= 52.   Let E = event of getting 1 face card.   n(E) = number of ways of choosing 1 face card out of 12   =12C1 = 12   P(E) = n(E) / n(S)	= 12 / 52   = 3/13.   Answer 3/13
Answer: B
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?  Options:
A) Rs.4329	B) Rs.4529	C) Rs.4520	D) Rs.4530	E) Rs.4523

Solution: Area of the four walls = 2h(l + b)   Since there are doors and windows, area of the walls = 2 * 12 (15 + 25) - (6 * 3) - 3(4 * 3) = 906 sq.ft.   Total cost = 906 * 5   = Rs. 4530   Answer:Rs.4530
Answer: D
The least number which should be added to 9422 so that the sum is exactly divisible by 5, 6, 4 and 3 is?	Options
A) 59  B) 58  C) 48  D) 38  E) 28

Solution: L.C.M. of 5, 6, 4 and 3 = 60.   On dividing 9422 by 60, the remainder is 2.   Number to be added = (60 - 2)= 
(60 - 2) = 58
58   58)
Answer: B
A man rows his boat 90 km downstream and 55 km upstream, taking 3 hours each time. Find the speed of the stream?	Select.
A) 76 kmph	B) 6 kmph	C) 14 kmph	D) 8 kmph	E) 4 kmph

Solution: Speed downstream = d/t = 90/(3)= 
90/(3) = 30
30 kmph   Speed upstream= d/t = 55/(3)   = 18 kmph   The speed of the stream = (30 - 18)/2= 
(30 - 18)/2 = 6
6 kmph   Answer:6 kmph
Answer: B
If grapes are 90% water and raisins are 17% water, then how many kilograms did a quantity of raisins, which currently weighs 14 kilograms, weigh when all the raisins were grapes? (Assume that the only difference between their raisin-weight and their grape-weight is water that evaporated during their transformation.)	Choose the correct choice from the following
A) 108.6 B) 110.4 C) 112.6 D) 114.8 E) 116.2

Solution: Let x be the original weight of the grapes.   The weight of the grape pulp was 0.1x.   Since the grape pulp is 83% of the raisins, 0.1x = 0.83(14 kg).   Then x = 8.3*14= 
8.3*14 = 116.2
116.2 kg.   The answer is 116.2.
Answer: E
Chris age after 13years will be 5 times his age 5years back. what is the present age of Chris?  Choose the correct choice from the following answers.
A) A)20  B) B)25  C) C)15  D) D)22  E) E)12

Solution: Chris present age= x   after 13years = x+13   5years back = x-5   x+13= 5(x-5)   x=12   Answer is 12
Answer: E
3 candidates in an election and received 4136, 7636 and 11628 votes respectively. What % of the total votes did the winning candidate got in that election?  Options
A) 45%	B) 49%	C) 50%	D) 59%	E) 61%

Solution: Total number of votes polled = (4136 + 7636 + 11628)= 
(4136 + 7636 + 11628) = 23_400
23400   So, Required percentage= 11628/23400 * 100 = 50%   50%
Answer: C
Line m lies in the xy-plane. The y-intercept of line m is -2, and line m passes through the midpoint of the line segment whose endpoints are (2, 8) and (10,0). What is the slope of line m?
Choose the correct choice.
A) -1	B) 0	C) 1	D) 2	E) 3

Solution: The midpoint of (2,8) and (10,0) is (6,4).   The slope of a line through (0,-2) and (6,4) is (4-(-2))/(6-0) = 6/6= 
6/6 = 1
1   The answer is 1.
Answer: C
Anup was asked to find the value of 7/12 of a sum of money E. Instead of multiplying the same by 7/12,he divided it by 7/12 and his answer exceeded the correct answer by 95. The correct answer is:
Choose the correct choice:	A) 48	B) 89	C) 84	D) 69	E) 49

Solution: E=12/7*x-7/12*x=95 --> x=84 --> 7/12*x=49.   So if bythe correct answerquestion means 7/12 of the amount then the answer should be 49.
Answer: E
If x and y are positive integers such that x/y = 2.18, which of the following numbers could be y?  Choose the most appropriate option
A) 50
B) 5
C) 150
D) 2
E) 100

Solution: With the given information, we are trying to find the value of y.   To achieve this we must convert the given decimal to a fraction and reduce it to it's lowest integer form.   Take the decimal x/y = 2.18 and because it's in the hundreds decimal place, put the given value (x/y = 2.18/1) and multiply it by 100.   Take the resulting fraction (x/y = 218/100) and reduce it to it's lowest form.   Both of the numbers are divisible by 2.   The result is x/y = 109/50.   Thus y = 50.   The correct answer is 50.
Answer: A
All of the citizens of a country have a four-character or five-character national identification code that is created using the 26 letters of the alphabet and the 10 digits from 0 to 9. What is the maximum number of citizens who can be designated with these codes?
Pick one:	A) 37(36^4)	B) 36^9	C) 35(36^5)	D) 37(36^5)	E) 35(36^9)

Solution: The number of possible 4-digit codes is 36^4.   The number of possible 5-digit codes is 36^5.   The total sum is 36^4 + 36^5 = 36^4(1+36) = 37(36^4)   The answer is 37(36^4).
Answer: A
When 1/20% of 4,000 is subtracted from 1/20 of 4,000, the difference is	Choices:
A) 50
B) 198
C) 380
D) 398
E) 400

Solution: 1/20 % of 4000 = 2   1/20 of 4000 = 200   200-2= 
200-2 = 198
198   Ans:198
Answer: B
Twelve telegenic contestants with a variety of personality disorders are to be divided into two “tribes” of five members each, tribe A and tribe B, for a competition. How many distinct groupings of two tribes are possible?  Choices
A) 120  B) 126  C) 792  D) 1200  E) 1260

Solution: My ans is 127925 = 792   792
Answer: C
If the number is decreased by 5 and divided by 7 the result is 7. What would be the result if 24 is subtracted and divided by 10? Select.
A) 4 B) 7 C) 8 D) 5 E) 3

Solution: Explanation:   Let the number be x. Then,   (x - 5)/7 = 7 => x - 5 = 49   x = 54   .: (x - 24)/10 = (54 - 24)/10= 
(54 - 24)/10 = 3
3   Answer: Option 3
Answer: E
The average age of a class of 40 students is 15 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
Choose the correct choice from the following answers
A) 30 Years
B) 56 Years
C) 32 Years
D) 34 Years
E) 49 Years

Solution: Total age of students is 40X15 = 600 Years   Total age inclusive of teacher = 41X (15+1) = 656   So, Teacher's age is 656-600= 
656-600 = 56
56 Yrs   There is a shortcut for these type of problems   Teacher's age is 15+(41X1)= 56 Years   56 Years
Answer: B
There is a sequence such that each term is positive integer and each digit of the terms in the sequence has 3 to be ordered, what is the value F of 100th term?	Choose the correct choice from the following choices:  A) 126  B) 192  C) 232  D) 252  E) 342

Solution: (1~99) 19, (100~199)  19, (200~299) 19. The 100th term should be 100-(19+19+19)= 
100-(19+19+19) = 43
43th number. Hence, the correct answer F is 342. The correct answer is 342.
Answer: E
Roberto has three children: two girls and a boy. All were born on the same date in different years. The sum of the ages of the two girls today is smaller than the age of the boy today, but a year from now the sum of the ages of the girls will equal the age of the boy. Five years from today, the difference between the age of the boy and the combined ages of the girls will be	Pick:
A) 1
B) 2
C) 3
D) –4
E) –1

Solution: Approach I (Plugin's)   Girl I ............... Girl II ................ Boy   1 ....................... 1 ........................ 3 (Assume the current ages)   1 + 1 < 3 .......... (Satisfies the given condition)   1 Year later there ages are   2 ....................... 2 ......................... 4   2 + 2= 
2 + 2 = 4
4 ............ (Satisfies the given condition)   After 5 years there ages are   6 ....................... 6 ............................ 8   –4ifference= 8 - (6+6) = 8 - 12 = -4   Answer = –4
Answer: D
Cars emerging from a motorway arrive at a junction that splits the road into two separate lanes. The number of cars per hour that continue in either lane is constant. If 490 cars per hour were diverted from the left lane to the right lane, the number of cars entering the right lane per hour would be twice as big as the number of cars entering the left lane per hour. Alternatively, if 490 cars per hour were diverted from the right lane to the left lane, the number of cars entering the left lane per hour would be four times as great as the number of cars entering the right lane per hour. How many cars enter the left lane per hour?	Pick one: A) 1190 B) 1200 C) 1400 D) 700 E) 900

Solution: as per question 490 cars diverted from left lane to right lane. Thus we get equation R+490=2(L-490)   as per question 490 cars diverted from right lane to left lane .thus we get equation L+490=4(R-490)   by solving two equation i.e R +490 =2L-980 OR. R =2L -1470 1190ND L+490= 4R -1960 OR L= 4R -2450   BY SOLVING WE GET L= 4( 2L -1470) -2450 OR L= 8L -5880-2450 OR 8330 =7L THUS L =1190   1190
Answer: A
A certain company reported that the revenue on sales increased 30 % from 2000 to 2003, and increased 80 % from 2000 to 2005. What was the approximate percent increase in revenue for this store from 2003 to 2005? Choose the correct choice from the following answers
A) 50 % B) 40 % C) 35 % D) 32 % E) 39 %

Solution: Assume the revenue in 2000 to be 100. Then in 2003 it would be 130 and and in 2005 180, so from 2003 to 2005 it increased by (180-130)/130=50/130= 39%   Answer: 39 %.
Answer: E
A certain rectangular window is three times as long as it is wide. If its perimeter is 32 feet, what are its dimensions in terms of length by width?  Options
A) 12 by 2  B) 11 by 3  C) 10.5 by 3.5  D) 12 by 4  E) 9 by 3

Solution: 2x+2y=32   x+y=16   x+3x=16   4x=16   x=4   Answer 12 by 4
Answer: D
For what value of “k” will the equation (2kx2 + 5kx+2)=0 have equal roots?
Pick:
A) 2/7
B) 9/4
C) 16/25
D) 7/1
E) 7/2

Solution: For a 2nd degree equation ax2+bx_c=0 has equal roots the condition is b2-4ac=0   in the given equation   (5k)^2-4*2k*2=0   by solving this equation   we get k=0, k=16/25   ANSWER:16/25
Answer: C
From (1, 2, 3, 4, 5, 6), one number is picked out and replaced and one number is picked out again. If the sum of the 2 numbers is 5, what is the probability that the 2 numbers included the number 3?
Select the correct option.
A) 1/5	B) 1/2	C) 3/10	D) 3/5	E) 1/4

Solution: We know that the sum of two numbers picked was 8. So, there could be the following cases:   (1, 4);   (4, 1);   (2, 3);   (3, 2);   Total of 4 cases out of which 2 have 3, thus the probability is 2/4=1/2.   Ans 1/2
Answer: B
Mandrake has to choose from 4 from 12 people. There are 3 girls, 5 boys , 4 children. What is total probability that he will choose 1G , 2B , 1C?	Options
A) 1/7
B) 2/7
C) 3/7
D) 4/7
E) 8/33

Solution: (3C1 * 5C2 * 4C1)/ 12C4 = 3*10*4/495 = 120/495=8/33   ANSW8/33R:8/33
Answer: E
Two trains from opposite directions are to cross each other. The length of two trains are 100 meter and 200 meter respectively. The speed of first train is 100 km/hour and second train 200 km/hour. In how much time will they cross each other?
Choose the correct choice from the following options:	A) 2 second	B) 3.6 second	C) 5 second	D) 5.5 second	E) 6 second

Solution: The crossing moment starts when the head of first compartment of two trains meet or touch. The process of crossing each other continues till 100 + 200= 
100 + 200 = 300
300 meter is covered. The speed will be 100km/hour + 200 km/hour= 300 km/hour. 300x1000 meter covered in 3600 seconds. So, 300 meter covered in 3.6 seconds.   Answer: 3.6 second.
Answer: B
Which expression is the greatest Choices:  A) 3252/3257  B) 3456/3461  C) 3593/3598  D) 3346/3351  E) 3453/3458

Solution: Options can be re-written as (x-5)x => 1-(5/x)   A) 1- (5/3257)   B) 1- (5/3461)   C) 1- (5/3598)   D) 1- (5/3351)   E) 1- (5/3458)   To get the largest among these second half should be the least and so denominator to be largest. Hence '3593/3598'.
Answer: C
The sequence {A(n)} is defined by A(1) = 2 and A(n+1)=A(n)+2*n what is the value of A(100)? Choose one.
A) 9902  B) 9900  C) 10100  D) 9904  E) 9906

Solution: n=1, A(1)=2   n=2, A(2)=A(1+1)=A(1)+2*1=2+2= 
2+2 = 4
4   n=3, A(3)=A(2+1)=A(2)+2*2=4+4= 
4+4 = 8
8   n=4, A(4)=A(3+1)=A(3)+2*3=8+6= 
8+6 = 14
14   if n=1, A(1)=2   if n=2, A(2)=4, i.e 2*2-0=4   if n=3, A(3)=8, i.e 3*3-1=8   if n=4, A(4)=14 i.e 4*4-2=14   ..........   if n=100, 9902(100)=100*100-98=10000-98= 
10000-98 = 9_902
9902   9902NSWER:9902
Answer: A
A certain sum amounts to Rs.640 in 4 years and Rs.760 in 6 years. Find the rate % per annum?  Choices:
A) 9%  B) 5%  C) 3%  D) 1%  E) 8%

Solution: 4 --- 640   6 --- 760   --------------   2 --- 120   N = 1 I = 60 R = ?   P = 640 - 240= 
640 - 240 = 400
400   60= (400*1*R)/100   R = 15%   Answer: 8%
Answer: E
Rodrick mixes a martini that has a volume of 'n' ounces having 30% Vermouth and 60% Gin by volume. He wants to change it so that the martini is 25% Vermouth by volume. How many ounces of Gin must he add?  Select:
A) n/6
B) n/3
C) n/5
D) 5n/6
E) 8n/5

Solution: total V G   1 ounce 0.3 0.6   n ounce 0.3n 0.6n -------------initial expression   lets say g ounces of gin is added to this mixture   n+g 0.3n 0.6n+g --------------final expression   given that after adding g ounces of gin , V should become 25% of the total volume.   =>Volume of V/total volume = 25/100   => 0.3n /n+g = 1/4   => 1.2n = n+g   => g = n/5   Answer is C.   Note that after we add pure Gin, the volume of Vermouth will remain the same. Based on this set the equation:   0.3n=0.25(n+g) --> g=n/5   Answer: n/5.
Answer: C
Look at this series: 15, 15, 27, 27, 39, 39,? ... What number should fill the blank?  Choose the correct choice from the following answers.
A) 51
B) 39
C) 23
D) 15
E) None

Solution: Explanation: In this simple addition with repetition series, each number in the series repeats itself, and then increases by 12 to arrive at the next number.   51nswer: Option 51
Answer: A
The value of x + x(x^x) when x = 6 is	Select.
A) 279942  B) 245872  C) 434323  D) 278879  E) 342333

Solution: Solution:   x + x(x^x)   Put the value of x = 6 in the above expression we get,   6 + 6(6^6)   = 6 + 6(6 x 6 x 6 x 6 x 6 x 6)   = 6 + 6(46656)   = 6 + 279936= 
6 + 279936 = 279_942
279942   279942nswer: (279942)
Answer: A
In how many ways can 5 different rings be worn in four particular fingers? (Some fingers may get more than one ring and some may get no rings.)
Can somebody explain?
Choose one:
A) 6720  B) 7720  C) 7820  D) 7950  E) 8120

Solution: First ring can be worn in 4 ways (on any of the four fingers);   Second ring can be worn in 5 ways (as it can go on any of four fingers - 4 ways; plus it can go below the first one - 1);   Third ring can be worn in 6 ways (the same logic as for the second ring);   Fourth ring can be worn in 7 ways;   Fifth ring can be worn in 8 ways;   Total:  4*5*6*7*8= 
 4*5*6*7*8 = 6_720
6720. 6720NS:6720
Answer: A
If A : B = 4 : 7 and B : C = 4 : 9 then A : B : C is :	Pick
A) 20 : 35 : 63
B) 35 : 36 : 63
C) 16 : 28 : 63
D) 25 :34: 68
E) None of these

Solution: Expl : A : B = 4 : 7   B : 16 : 28 : 63 = 4 :9 = 4*7/4 : 9 *7/4 = 7 : 63/4   A : B : 16 : 28 : 63 = 4 : 7 : 63/4 = 16 : 28 : 63   Answer: 16 : 28 : 63
Answer: C
A person is 24 years older than his daughter. In 2 years, the person’s age will be 2 times the age of his daughter. Then, the current age of the daughter is: Answers:  A) 22  B) 42  C) 32  D) 41  E) 56

Solution: Let the daughter’s current age be A years. Then, the person’s current age = (A +24) years.   (22 + 24) + 2 = 2 (22 + 2)   22 + 26 = 222 + 4   22 = 22
Answer: A
A small company employs 3 men and 4 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 women?  Choose the correct option.
A) 1/14	B) 1/7	C) 20/70	D) 18/70	E) 1/2

Solution: Total ways to choose 4 employees from 8 employees = 8C4   Two women = 4C2   Two Men = 3C2   P = (5C2 * 3C2)/8C2 = 18/70 hence 18/70.
Answer: D
A certain ski shop sells pairs of gloves in 12 different colors. If one pair of each color is dropped in a bag and a store clerk reaches in to draw two individual gloves simultaneously and at random, what is the probability that she draws two gloves of the same color?  Choose the correct choice from the following answers
A) 1/144 B) 1/143 C) 1/24 D) 1/23 E) 1/12

Solution: Chance of getting a color from the 12 different colored gloves = 24/24= 
24/24 = 1
1   Chance of picking the same color as first sock out of the remaining 12∗2−1=23 socks = 1/23   Probability of 1st x Probability of 2nd = 1∗1/23=1/23   Answer is 1/23
Answer: D
In an office, totally there are 2200 employees and 40% of the total employees are males. 30% of the males in the office are at-least 50 years old. Find the number of males aged below 50 years?  Choose the most appropriate option: A) 661 B) 600 C) 620 D) 616 E) None of these

Solution: Number of male employees = 2200* 40/100= 
2200* 40/100 = 880
880   Required number of male employees who are less than 50 years old= 880* (100 - 30)%   = 880* 75/100 = 616.   ANSWER:616
Answer: D
A man is 20 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is?	Choose the most appropriate option:	A) 11	B) 25	C) 27	D) 18	E) 91

Solution: Let the son's present age be x years.   Then, man's present age = (x + 20) years.   (x + 20) + 2 = 2(x + 2) x + 22 = 2x + 4 => x = 18.   Answer: 18
Answer: D
The volume of a certain substance is always directly proportional to its weight. If 48 cubic inches of the substance weigh 112 ounces, what is the volume, in cubic inches, of 53 ounces of this substance?	Choices
A) 27
B) 36
C) 42
D) 22
E) 147

Solution: 112 ounces of a substance has a volume of 48 cubic inches   53 ounces of a substance has a volume of (48/112)*53 = 22 cubic inches   Answer 22
Answer: D
There are 750 male and female participants in a meeting. Half the female participants and one-quarter of the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female? Choose one:
A) 75	B) 100	C) 125	D) 175	E) 225

Solution: female = x   Male = 750-x   x/2 + 750-x/4 = 1/3* (750)= 
1/3* (750) = 250
250   x= 250   x/2 = 125 is supposed to be the answer   ANSWER:125
Answer: C
If (y - 2)(z - 3) + 5(z - 3) = 0, then which of the following must be true? Pick one:
A) y = -4 and z = -3
B) y = -4 or z = -3
C) y = -4 or z = 3
D) y = 1 and z = 2
E) y = 1 or z = -1

Solution: by taking out common factor,   (z-3)(y-2+5)=0   (z-3) (y+3) = 0   So by checking options we get ,   Ans - y = -4 or z = 3
Answer: C
A and B can do a work in 2 days, B and C in 6 days and C and A in 8 days. In how many days will the work be completed, if all three of them work together?
Pick one.
A) 12/28
B) 48/19
C) 16/48
D) 18/48
E) 12/64

Solution: One day work of A and B = 1/2   One day work of B and C = 1/6   One day work of C and A = 1/8   2(A + B + C) = 1/2 + 1/6 + 1/8   2(A + B + C) = 19/24   (A + B + C) = 19/48   Number of days required = 48/19 days.   Answer: 48/19
Answer: B
What will come in place of the x in the following Number series? 12, 38, 116, 350, 1052, x Pick one:
A) 2545 B) 2640 C) 3000 D) 4000 E) 3158

Solution: 12   12 × 3 + 2 = 38   38 × 3 + 2 = 116   116 × 3 + 2 = 350   350 × 3 + 2 = 1052   1052 × 3 + 2 = 3158   3158
Answer: E
How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 7 ? Pick
A) 3
B) 1
C) 4
D) 0
E) 2

Solution: A number ending with 7 can never be a perfect square.   Answer: 0
Answer: D
A man walks at a speed of 3 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?	Choose the correct choice from the following answers:	A) 2 1/5	B) 2 1/6	C) 2 1/3	D) 2 1/2	E) 2 1/1

Solution: Required time = (5 1/4)/3 + (5 1/4)/7   = 2 1/2 hours.   Answer: 2 1/2
Answer: D
Each writer for the local newspaper is paid as follows: a dollars for each of the first t stories each month, and a + b dollars for each story thereafter, where a > b. How many more dollars will a writer who submits t + a stories in a month earn than a writer who submits t + b stories?
Choices:
A) (a – b)( a + b + t)
B) a – b
C) a^2 – b^2
D) t( a – b)
E) at + bt – at

Solution: total earned for t+a stories =a + a(a+b)   total earned for t+b stories =a+ b(a+b)   difference = a+a(a+b) -a -b(a+b)   =(a+b)(a-b) =a^2-b^2   answer is a^2 – b^2
Answer: C
A trader bought a car at 20% discount on its original price. He sold it at a 60% increase on the price he bought it. What percent of profit did he make on the original price?
Choose the most appropriate option.
A) A)10% B) B)12% C) C)14% D) D)20% E) E)28%

Solution: Original price = 100   CP = 80   S = 80*(160/100)= 
80*(160/100) = 128
128   100 - 128= 28%   28%)
Answer: E
If a sum on compound interest becomes three times in 4 years, then with the same interest rate, the sum will become 81 times in:	Answers:
A) 12 years  B) 18 years  C) 16 years  D) 14 years  E) 15 years

Solution: Explanation:   The sum P becomes 3P in 4 years on compound interest   3P = P(1+R/100)4   ⇒ 3 = (1+R/100)4   Let the sum P becomes 81P in n years   81P = P(1+R/100)n   ⇒ 81 = (1+R/100)n   ⇒ (3)4 = (1+R/100)n   ⇒ ((1+R/100)4)4 = (1+R/100)n   ⇒ (1+R/100)16 = (1+R/100)n   n=16   i.e, the sum will become 81 times in 16 years   Answer: Option 16 years
Answer: C