MU-NLPC/Calc-aqua_rat huggingface dataset:
In a colony of 70 residents, the ratio of the number of men and women is 4 : 3. Among the women, the ratio of the educated to the uneducated is 2 : 3. If the ratio of the number of educated to uneducated persons is 8 : 27, then find the ratio of the number of educated to uneducated men in the colony? Select:  A) A)1:6  B) B)1:1  C) C)1:8  D) D)1:3  E) E)1:9

Solution: Number of men in the colony = 4/7 * 70= 
4/7 * 70 = 40
40.   Number of women in the colony= 3/7 * 70 = 40.   Number educated women in the colony = 2/5 * 30= 
2/5 * 30 = 12
12.   Number of uneducated women in the colony= 3/5 * 50 = 24.   Number of educated persons in the colony = 8 /35 * 70= 
8 /35 * 70 = 16
16.   As 6 females are educated, remaining 10 educated persons must be men.   Number of uneducated men in the colony= 40 - 10= 
40 - 10 = 30
30.   Number of educated men and uneducated men are in the ratio 10 : 30 i.e., 1:3.   Answer:1:3
Answer: D
How many words can be formed from the letters of the word ‘DIRECTOR’ So that the vowels are always together?  Choose the correct choice from the following answers:
A) 3251
B) 2160
C) 1203
D) 2564
E) 5421

Solution: In the given word, we treat the vowels IEO as one letter.   Thus, we have DRCTR (IEO).   This group has 6 letters of which R occurs 2 times and others are different.   Number of ways of arranging these letters = 6!/2! = 360.   Now 3 vowels can be arranged among themselves in 3! = 6 ways.   Required number of ways = (360x6) = 2160.   Ans: 2160
Answer: B
In a garden, 26 trees are planted at equal distances along a yard 600 metres long, one tree being at each end of the yard. What is the distance between two consecutive trees?
Choose the correct choice from the following options:
A) 10  B) 8  C) 12  D) 24  E) 16

Solution: 26 trees have 25 gaps between them.   Length of each gap = 600/25= 
600/25 = 24
24   i.e., distance between two consecutive trees= 24   Answer is 24.
Answer: D
A sum of money becomes 7/6 of itself in 2 years at a certain rate of simple interest. The rate per annum is?	Answers:
A) 50/9
B) 50/7
C) 50/6
D) 50/8
E) 50/3

Solution: Let sum = x. Then, amount = 7x/6   S.I. = 7x/6 - x = x/6; Time = 2 years.   Rate = (100 * x) / (x * 6 * 2) = 50/6 %.   Answer:50/6
Answer: C
Gill drives 120 miles from Los Angeles to San Diego to fetch a package. On her way there she drives at 40 miles per hour. On her way back she drives 50% faster. What is Gill's average velocity W for the round trip?  Choose the correct choice from the following choices: A) 24 miles per hour B) 48 miles per hour C) 50 miles per hour D) 53 1/3 miles per hour E) 68 miles per hour

Solution: Here's an Average Speed question in which the prompt gives you almost all of the immediate numbers needed to work with.   Driving from LA to SD, we have a distance of 120 miles and a speed of 40 miles/hour.   D = (R)(T)   120 = (40)(T)   120/40= 
120/40 = 3
3= T   3 hours to drive to SD   On the way back, she drives 50% FASTER. Gill's return speed is (1.5)(40) = 60 miles/hour.   D = (R)(T)   120 = (60)(T)   120/60= 
120/60 = 2
2= T   2 hours to drive to SD   Total Distance = 240 miles   Total Time = 3+2= 
3+2 = 5
5 hours   Average Speed= 240/5= 
240/5 = 48
48 miles/hour   Final Answer:   48 miles per hour
Answer: B
Andrew went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choose one:  A) 18  B) 19  C) 19.7  D) 21  E) 21.3

Solution: Total cost of the items he purchased = Rs.25   Given that out of this Rs.25, 30 Paise is given as tax   => Total tax incurred = 30 Paise = Rs.30/100   Let the cost of the tax free items = x   Given that tax rate = 6%   ∴ (25−30/100−x)6/100 = 30/100   ⇒ 6(25 −0.3 −x) = 30   ⇒ (25 − 0.3 − x) = 5   ⇒ x = 25 − 0.3 − 5 = 19.7   19.7
Answer: C
B invested $4000 in a business and C invested $3000 in a business. At the end of the year they got $14000 as the profit. Find their share?
Choose the most appropriate option
A) $8000,$6000  B) $7000,$5000  C) $6000,$4000  D) $6000,$8000  E) $5000,$6000

Solution: B:C = 4000:3000   $8000,$6000:B = 4:3   $8000,$6000's share = 14000*4/7= 
14000*4/7 = 8_000
$8000   B's share= 14000*3/7= 
14000*3/7 = 6_000
$6000   $8000,$6000nswer is $8000,$6000
Answer: A
40% of a number is more than 20% of 650 by 190. Find the number?
Choices
A) 997 B) 127 C) 800 D) 128 E) 189

Solution: (40/100) * X – (20/100) * 650 = 190   2/5 X = 320   X = 800   Answer: 800
Answer: C
In expressing a length 81.475 km as nearly as possible with three significant digits, find the percentage error?
Choose the correct choice from the following choices
A) 0.075%  B) 0.156%  C) 0.031%  D) 0.048%  E) 0.152%

Solution: Error = 81.5-81.475 = 0.028   Required percentage = (0.028/81.475)*100 = 0.031%   Answer is 0.031%
Answer: C
A person can row at 9 kmph and still water. He takes 7 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph? Answers.
A) 33  B) 28  C) 29  D) 54  E) 20

Solution: Let the distance between A and B be x km.   Total time = x/(9 + 1) + x/(9 - 1) = 7.5   => x/10 + x/8 = 15/2 => (4x + 5x)/40 = 15/2 => x   = 33 km.   33nswer:33
Answer: A
Set A contains all the even numbers between 8 and 50 inclusive. Set B contains all the even numbers between 108 and 150 inclusive. What is the difference between the sum of elements of set B and the sum of the elements of set A?	Choose the correct choice from the following options: A) 2200 B) 2550 C) 5050 D) 6275 E) 11325

Solution: Set A contains 8, 10, 12... 50   Set B contains 108 , 110 , 112 ... 150   Number of terms in each set = 22   Difference between corresponding terms in set 2200 and B = 100   Difference between Sum of set B and set 2200 = 100*22= 
100*22 = 2_200
2200   2200nswer 2200
Answer: A
The average of 10 numbers is 23. If each number is increased by 6, what will the new average be?	Choose the correct choice from the following choices:  A) 36  B) 29  C) 72  D) 29  E) 22

Solution: Sum of the 10 numbers = 230   If each number is increased by 6, the total increase =   6 * 10= 
6 * 10 = 60
60   The new sum= 230 + 60= 
230 + 60 = 290
290 The new average= 290/10= 
290/10 = 29
29.   Answer:29
Answer: B
Little Praveen had $50.50. He spent $12.25 on sweets and gave same money to his two friends and the amount left with him is $31.25. Find how much he spent to two of his friends?
Select the correct option:
A) $ 16.65  B) $ 18.65  C) $ 19.25  D) $ 16.55  E) $ 17.65

Solution: Praveen spent and gave to his two friends a total of   12.25 + 2x= $4.65, x is the amount spent to one friend.   Money left   50.50 -2x = $31.85. Then 2x=$18.65.   correct answer is $ 18.65) $ 18.65
Answer: B
There are six leopards and one sheep.
Leopard can eat sheep but since as the land is magical, the leopards who eats the sheep , turns into sheep and then can be eaten by the remaining leopard(s).
If we leave them for some time then how many sheep and leopard will be there , when we come back ?  Choose the correct choice from the following:	A) 7 leopard and 3 sheep	B) 4 leopard and 7 sheep	C) 6 leopard and 4 sheep	D) 5 leopard and 1 sheep	E) 2 leopard and 5 sheep

Solution: 5 leopard and 1 sheep   5 leopard and 1 sheep   since all animal are rational , once 1st leopard eats the sheep all the rest of leopard would know about this.
Answer: D
At 1:00 pm, there were 10.0 grams of bacteria. The bacteria increased to x grams at 4:00 pm, and 19.6 grams at 7:00 pm. If the amount of bacteria present increased by the same fraction during each of the 3-hour periods, how many grams of bacteria were present at 4:00 pm?	Choose the correct answer
A) 13.7	B) 14.0	C) 14.3	D) 14.6	E) 14.9

Solution: Let x be the factor by which the bacteria increases every three hours.   At 4:00 pm, the amount of bacteria was 10x and at 7:00 pm it was 10x^2.   10x^2 = 19.6   x^2=1.96   x=1.4   At 4:00 pm, the amount of bacteria was 10(1.4)=14 grams.   The answer is 14.0.
Answer: B
Over the course of a year, a certain microbrewery increased its beer output by 70 percent. At the same time, it decreased its total working hours by 20 percent. By what percent did this factory increase its output per hour?	Choose the correct option:  A) 50%  B) 90%  C) 112.5%  D) 210%  E) 212.5%

Solution: Let's take the original output to be 100 and the new output to be 170% or 170.   Let's take the original work hours to be 100 hours and the new work hours to be 80% or 80 hours.   The old output per work hour = 100/100 hours or 1.   The new output per work hour = 170/80 or 2.125. So the resulting increase is actually new minus old or 1.125 or 112.5%.   112.5%hoice 112.5%
Answer: C
If it is possible to from a word with the first, fourth, seventh and eleventh letters in the word
'SPHERVLVODS' write the second letter of thet word. Otherwise, X is the answer.?	Choose the correct choice from the following answers.
A) T  B) E  C) R  D) HG  E) K

Solution: The first, fourth, seventh and eleventh letters of the word 'SPHERVLVODS'   The word formed is LESS   The second letter is E.   Answer: Option 'E'
Answer: B
In a camp, there is a meal for 100 men or 200 children. If 130 children have taken the meal, how many men will be catered to with remaining meal?
Select the correct option
A) 20
B) 30
C) 35
D) 10
E) 40

Solution: There is a meal for 200 children. 130 children have taken the meal.   Remaining meal is to be catered to 70 children.   Now, 200 children 100 men.   70 children (100/200)	* 70 = 35 men   Answer is 35. (100/200) * 70= 
 (100/200) * 70 = 35
35 men   Answer is 35.
Answer: C
A carpenter is building a frame for a wall painting. The painting is in the shape of a rectangle. If the sides of the rectangle are in the ratio of 3:2 and the shorter side has a length of 19 inches, how many inches of framing material does the carpenter need to frame the painting?	Answers:
A) 12	B) 22 1/2	C) 37 1/2	D) 50	E) 25

Solution: (19/2) ( 2+3) * 2 = 25=25
Answer: E
15 men can complete a work in 10 days while 20 boys can complete the same work in 15 days .How many days will 10 men and 10 boys together take to complete the same work	Choose the correct choice from the following: A) 10 days B) 11 days C) 12 days D) 13 days E) None of these

Solution: Solution:   Work done by one man in one day=1/(15*10)   Work done by one boy in one day=1/(20*15)   Work done by 10 men and 10 boys in one day=10[ 1/(15*10) + 1/(20*15)]   Days taken=1/Work done by 10 men and 10 boys in one day   =10 days   10 daysnswer 10 days
Answer: A
A code is to be made by arranging 8 letters. Three of the letters used will be the letter A, two of the letters used will be the letter B, two of the letters used will be the letter C, and one of the letters used will be the letter D. If there is only one way to present each letter, how many different codes are possible?
Select:  A) 42  B) 210  C) 420  D) 840  E) 6,720

Solution: we have 8 letters out of which 3 are of one kind, 1 are of another kind..   so total ways = 8!/3!1!=6720   ans 6,720
Answer: E
If pq represents a positive two digit number, where p and q are single digit integers, which of the following cannot be true? Select:
A) p+q =9 B) (p)(q)=9 C) p-q = 9 D) q-p= 9 E) p/q = 9

Solution: (A) pq = 45 or 63 or 27   (B) pq = 33 or 19   (C) 90   (D) impossible   (E) pq = 91   (D) is impossible because 09 is not a valid two digit number --- if there's a zero in the ten's place, that's just 9, a single digit number. Therefore, no valid two digit number would satisfy (D).   ans q-p= 9
Answer: D
Two pipes can fill a tank in 18 minutes and 20 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?  Choose the correct choice from the following:
A) 1/15
B) 1/16
C) 1/11
D) 1/10
E) 1/12

Solution: Part of the filled by all the three pipes in one minute   = 1/18 + 1/21 - 1/45 = 1/12   So, the tank becomes full in 12 minutes.   Answer:1/12
Answer: E
A single discount equivalent to the discount series of 20%, 10% and 5% is?
Choose one:	A) 31.9	B) 31.1	C) 31.6	D) 31.2	E) 31.5

Solution: :   100*(80/100)*(90/100)*(95/100)= 
100*(80/100)*(90/100)*(95/100) = 342/5 = around 68.4
68.4   100 - 68.4= 
100 - 68.4 = 31.6
31.6   Answer: 31.6
Answer: C
Eight mobsters have arrived at the theater for the premiere of the film “Goodbuddies.” One of the mobsters, Frankie, is an informer, and he's afraid that another member of his crew, Joey, is on to him. Frankie, wanting to keep Joey in his sights, insists upon standing behind Joey in line at the concession stand, though not necessarily right behind him. How many ways can the six arrange themselves in line such that Frankie’s requirement is satisfied?  Options
A) 20160
B) 2400
C) 12000
D) 36002
E) 7200

Solution: Arrangement of 8=8!. In half of the cases Frankie will be behind Joey and in half of the cases Joey will be behind Frankie (as probability doesn't favor any of them). So, the needed arrangement is 8!/2=20160.   20160nswer: 20160
Answer: A
Line Q has the equation 5y – 3x = 90. If Line S is perpendicular to Q, has an integer for its y-intercept, and intersects Q in the second quadrant, then how many possible Line S’s exist? (Note: Intersections on one of the axes do not count.)	Select:
A) 58 B) 61 C) 64 D) 67 E) 70

Solution: 5y - 3x = 90 and so y = 3x/5 + 18   When x = 0, then y = 18.   When y = 0, then x = -30   The slope is 3/5, so the slope of line S is -5/3.   Through the point (-30, 0), 0 = -5(-30)/3 + c   The y-intercept is c = -50.   Thus the perpendicular line S can have y-intercepts from -49 up to 17.   The number of possible lines is   49 + 17 + 1= 
  49 + 17 + 1 = 67
67   The answer is 67.
Answer: D
If there is an equal probability of a child being born a boy or a girl, what is the probability that a couple who have 5 children have two children of the same sex and one of the opposite sex?	Choose one
A) 1/3 B) 2/3 C) 1/4 D) 5/16 E) 3/5

Solution: No of ways of selecting a gender - 2C1   No of ways of selecting any 2 children out of 5 = 5C2   Total possible outcomes - 2^5 (each child can be either a girl or a boy)   Probability=2C1*5C2/2^5= 2*5/2*2*2*2*2=10/32=5/16   Ans=5/16
Answer: D
If r and y are different prime numbers less than ten, what must be true about the sum of r and y? Select:
A) the sum is even B) the sum is odd C) the sum is less than ten D) the sum is greater than ten E) the sum is less than 13

Solution: This has to be solved by checking for each option:   Prime numbers less that 10 = 2, 3, 5, 7   A. the sum is even   May or may not be true. r = 3, y, = 5 -> True.   r = 2, y = 3 - True   B. the sum is odd   May or may not be true. r = 3, y, = 5 -> False.   r = 2, y = 3 - True   C. the sum is less than ten   May or may not be true r= 5, y = 7, Sum = 12   r = 2, y = 3. Sum = 5   D. the sum is greater than ten   May or may not be true r= 5, y = 7, Sum = 12   r = 2, y = 3. Sum = 5   E. the sum is less than 13   This will always be true.   Maximum sum = 7 + 5= 
7 + 5 = 12
12.   This is always less than 13.   Correct Option: the sum is less than 13
Answer: E
The total circumference of two circles is 25. If the first circle has a circumference that is exactly twice the circumference of the second circle, then what is the approximate sum of their two radii?	Choose the correct choice from the following choices:  A) 5.7  B) 6.0  C) 4.0  D) 9.7  E) 18.0

Solution: Let r= Radius of smaller circle. Let R = Radius of larger circle   Therefore:   2πr + 2πR = 25   where 2r = R   Thus:   2πr + 4πr = 25   6πr = 25   r = approx 1.33   πR + 2Rπ = 25   3πR = 25   R = approx 2.65   r + R = approx 3.98 = 4.0   Answer : 4.0
Answer: C
The salary of a person was reduced by 14%. By what percent should his reduced salary be raised so as to bring it at par with his original salary?	Choose the correct choice from the following choices.
A) 10% B) 16.3% C) 13.7% D) 15.1% E) 12.3%

Solution: Let the original salary be $100   New salary = $86   Increase on 86=14   Increase on 100 = 14/86* 100 = 16.3%   Answer is 16.3%
Answer: B
A and B can complete a work in 30days and 15day. They started doing the work together but after 5days B had to leave and A alone completed the remaining work. The whole work was completed in? Choose the correct choice from the following
A) 10days B) 12days C) 20days D) 18days E) 25days

Solution: A+B 1day work = 1/30 + 1/15 +  1= 
+  1 = 1
1/30 + 1/15= 1/10   Work done by A and B in 10days = 1/10 * 5 = 1/2   Remaining work = 1-1/2 = 1/2   Now 1/30 work is done by A in 1day   1/2 work will be done by A in 30*1/2= 
30*1/2 = 15
15days   Total time taken= 15+5= 
15+5 = 20
20days   Answer is 20days
Answer: C
Let a1, a2, . . . , ar be r not necessarily distinct positive integers such that
(x + a1)(x + a2) · · · (x + ar) = xr + 230xr−1 + · · · + 2007,
where each missing term on the right has degree between 1 and r − 2
inclusive. What is the value of r ?
Answers
A) 4
B) 12
C) 63
D) 669
E) 2007

Solution: The conditions imply a1 + a2 + · · · + ar = 230 and a1a2 · · · ar = 2007. One checks that   2007 = 32 · 223, where 223 is prime. We deduce that some aj is 223, two aj’s are 3, and the   remaining aj’s are 1. Since their sum is 230 = 223 + 3 + 3 + 1, we obtain r = 4.   correct answer 4
Answer: A
In a school with 652 students, the average age of the boys is 12 years and that of the girls is 11 years. If the average age of the school is 11 years 9 months, then the number of girls in the school is	Choose the correct option.
A) 150	B) 200	C) 250	D) 163	E) None

Solution: Sol.   Let the number of grils be x.   Then, number of boys = (652 - x).   Then, (11 3/4 × 652)   ⇔ 11x + 12(652 - x) ⇔ x = 7824 - 7661 ⇔ 163.   Answer 163
Answer: D
Find the annual income derived by investing $ 6800 in 30% stock at 136.
Pick one.
A) 550  B) 1500  C) 250  D) 1300  E) 400

Solution: By investing $ 136, income obtained = $ 30.   By investing $ 6800, income obtained = $ [(30/136)*6800= 
(30/136)*6800 = 1_500
$ 1500.   Answer 1500.
Answer: B
A sum of money at simple interest amounts to $ 680 in 3 years and to $710 in 4 years. The sum is: Pick one:
A) $153	B) $698	C) $590	D) $549	E) $675

Solution: C   $590   S.I. for 1 year = $(710- 680)= 
(710- 680) = 30
$30.   S.I. for 3 years= $(30 x 3) = $90.   Principal = $(680 - 90)= 
(680 - 90) = 590
$590.
Answer: C
Which number can we add to 987654 to get a number exactly divisible by 456? Pick
A) 18  B) 24  C) 30  D) 36  E) 42

Solution: 987654 / 456 = 2165 with a remainder of 414.   We need to add 456 - 414= 
456 - 414 = 42
42   The answer is 42.
Answer: E
A car covers a distance of 984 km in 6 ½ hours. Find its speed?
Choose one:
A) 104 kmph
B) 187 kmph
C) 164 kmph
D) 175 kmph
E) 106 kmph

Solution: 984/6= 
984/6 = 164
164 kmph   Answer: 164 kmph
Answer: C
A straight line is formed using two points A(3,3) and B(6,6). Another point P(x,y) lies between A and B such that AP/BP = 9. What are the coordinates of P?
Pick:
A) (57/10, 57/10)  B) (3/10, 3/10)  C) (63/10, 63/10)  D) (27/10, 27/10)  E) (9/10, 9/10)

Solution: The equation of the straight line is y = x, so the x- and y-coordinates of P are the same.   x = 3 + (6-3)*(9/10) = 3 + 27/10 = 57/10 = y   The answer is (57/10, 57/10).
Answer: A
At a certain fruit stand, the price of each apple is 40 cents and the price of each orange is 60 cents. Mary selects a total of 10 apples and oranges from the fruit stand, and the average (arithmetic mean) price of the 10 pieces of fruit is 48 cents. How many oranges must Mary put back so that the average price of the pieces of fruit that she keeps is 45 cents?  Answers
A) 1	B) 2	C) 3	D) 4	E) 5

Solution: Let number of Apples = A   number of oranges = 2   A+2=10 --- 1   .48 =(.4A + .6 2)/10   => 48 = 4A + 62 ----2   Solving 1 and 2, we get   A= 6   2= 4   Let the number of oranges put back = C   45*(10-c) = 40*6 + 60(4-C)   => C= 2   Answer 2
Answer: B
If the average (arithmetic mean) of five consecutive negative integers is 10k – 1, what is the difference between the greatest and least of the five integers?
Answers.
A) 4K	B) 4k^2 -4k	C) 4-4k	D) 4	E) 4k+4

Solution: (n-2 + n - 1 + n + n + 1 + n + 2)/5 = 10k - 1   => n = 50k - 5   Greatest = n + 2 = 50k - 5 + 2 = 50k - 3   Least = n - 2 = 50k - 5 - 2   => 4ifference = 50k - 3 - (50k - 7)   = 4   Answer - 450  - 3 - (50  - 7)= 
50  - 3 - (50  - 7) = 4
4   Answer - 4
Answer: D
In some code, letters, a, b, c, d and e represent numbers 2, 4, 5, 6 and 10. However, we don’t know which letter represent which number.
Consider the following relationships:
i. a + c = e
ii. b – d = d
iii. e + a = b Choose one:
A) b = 4, d = 2 B) a = 4, e = 6 C) b = 6, e = 2 D) a = 4, c = 6 E) None

Solution: Explanation :   From the given equations, we see that , b=10 and d=5.   Now 'a' and 'c' must be 4 and 2 respectively.   So, e = 6.   Answer : a = 4, e = 6
Answer: B
The cost price of a radio is Rs.2400 and it was sold for Rs.2100, find the loss %?	Pick one:
A) 12.5%  B) 11%  C) 13%  D) 15%  E) 12.8%

Solution: 2400 ---- 300   100 ---- ? => 12.5%   12.5%nswer:12.5%
Answer: A
6 men and 8 women can complete a work in 10 days. 26 men and 48 women can finish the same work in 2 days. 15 men and 20 women can do the same work in - days.	Select the correct option.
A) 4 days  B) 6 days  C) 2 days  D) 8 days  E) 10 days

Solution: Explanation :   Let work done by 1 man in 1 day = m and work done by 1 woman in 1 day = b   Work done by 6 men and 8 women in 1 day = 1/10   => 6m + 8b = 1/10   => 60m + 80b = 1 --- (1)   Work done by 26 men and 48 women in 1 day = 1/2   => 26m + 48b = Â½   => 52m + 96b = 1--- (2)   Solving equation 1 and equation 2. We get m = 1/100 and b = 1/200   Work done by 15 men and 20 women in 1 day   = 15/100 + 20/200 =1/4   => Time taken by 15 men and 20 women in doing the work = 4 days   4 daysnswer IS 4 days
Answer: A
A fruit shop on its opening in a day, had 400 mangoes and 600 oranges. If 57 percent of the mangoes and 42 percent of the oranges got sold during the day, what percent of the total number of planted fruits were sold ?
Select:
A) 45.5% B) 46.5% C) 48.0% D) 49.5% E) 51.0%

Solution: 57% of 400 mangoes sold, hence 0.47*200 = 228 sold.   42% of 600 oranges sold, hence  0.42*600= 
 0.42*600 = 252
252 sold.   Thus (germinated)/(total)= (228 + 252)/(400 + 600) = 480/1000 = 48% fruits sold.   Answer: 48.0%.
Answer: C
Walking 7/6 of his usual rate, a boy reaches his school 6 min early. Find his usual time to reach the school?
Select the correct option
A) 22
B) 28
C) 99
D) 42
E) 66

Solution: Speed Ratio = 1:7/6 = 6:7   Time Ratio = 7:6   1 -------- 7   6 --------- ?   =42 m   Answer:42
Answer: D
Which of the following statements is definitely true , if A is the brother of B and C. Q is B's son and R is A's father.
Pick one: A) A is B's son B) A is C's son C) A is B's nephew D) A is B's niece E) A is Q's uncle

Solution: A is Q's unclexplanation:   A, B, C are brothers, so since Q is B's son, A is his uncle   Answer A is Q's uncle
Answer: E
A shopkeeper sold an article for Rs 2524.36. Approximately what was his profit percent if the cost price of the article was Rs 2400	Pick one
A) 4%
B) 5%
C) 6%
D) 7%
E) 8%

Solution: Explanation:   Gain % = (125.36*100/2400) = 5.2 % = 5% approx   Option 5%
Answer: B
Sheela deposits Rs. 3800 in bank savings account. If this is 32% of her monthly income. What is her monthly income in? Choose the correct answer: A) 22000 B) 20000 C) 11875 D) 12340 E) None of these

Solution: Explanation :   32% of income = Rs. 3800   100% of income = 3800 X 100/32 = Rs. 11875   Answer : 11875
Answer: C
How many prime numbers between 1 and 100 are factors of 210? Select:
A) 5	B) 4	C) 3	D) 2	E) 1

Solution: factor of 210= 2*3*5*7--- 4 prime numbers   4
Answer: B
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 (8,-2). What is the slope of line m?  Pick
A) -2	B) -1	C) 0	D) 1	E) 2

Solution: The midpoint of (2,8) and (8,-2) is (5,3).   The slope of a line through (0,-2) and (5,3) is (3-(-2))/(5-0) = 5/5= 
5/5 = 1
1   The answer is 1.
Answer: D