mathewhe/aqua_rat huggingface dataset:
Question: In a kilometer race, If Abhishek gives Bharti a 40 m start, Abhishek wins by 19 sec. But if Abhishek gives Bharti a 30 sec start, Bharti wins by 40 m. Find the time taken by Bharti to run 5,000 m?
(A) 150 sec
(B) 750 sec
(C) 450 sec
(D) 825 sec
(E) 920 sec
Rationale: If Abhishek takes x seconds and Bharti takes y seconds to run 1 km, then:
=>y=150 sec and x=125 sec
=>x+19=960y/1000 and
=(960x/1000)+30=y
=>y=150 sec and x=125 sec
Answer =(150/1000)×500
= 750 sec Answer : B
Answer: (B) 750 sec
Question: A man lent money of Rs. 2500 on simple interest for rate on interest being same as number of years. If he got Rs. 900 as interest amount at the end of the period then what is the rate of interest?
(A) 6%
(B) 4%
(C) 5%
(D) 3%
(E) 2%
Rationale: Explanation :
SI = pnr
SI = (2500*3r*3r)=900
r2 = 25
r = 5%
Answer : C
Answer: (C) 5%
Question: The ratio of the number of females to males at a party was 1:2 but when 5 females and 5 males left, the ratio became 1:3. How many people were at the party originally?
(A) 26
(B) 28
(C) 30
(D) 32
(E) 34
Rationale: The total number of people are x females + 2x males.
3*(x-5) = 2x - 5
x = 10
There were 3x = 30 people at the party originally.
The answer is C.
Answer: (C) 30
Question: Evaluate: 30 - |-x + 6| for x = 10
(A) 23
(B) 24
(C) 25
(D) 26
(E) 27
Rationale: Substitute x by 10 in the given expression and evaluate
30 - |- (10) + 6| = 30 - |-10 + 6|
= 30 - | - 4 | = 30 - 4 = 26
correct answer D)26
Answer: (D) 26
Question: The average (arithmetic mean) of the 5 positive integers k, m, r, s, and t is 16, and k < m < r < s < t. If t is 42, what is the greatest possible value of the median of the 5 integers?
(A) 17
(B) 18
(C) 19
(D) 20
(E) 22
Rationale: We need to find the median which is the third value when the numbers are in increasing order. Since k<m<r<s<t, the median would be r.
The average of the positive integers is 16 which means that in effect, all numbers are equal to 16. If the largest number is 42, it is 26 more than 16. We need r to be maximum so k and m should be as small as possible to get the average of 16. Since all the numbers are positive integers, k and m cannot be less than 1 and 2 respectively. 1 is 15 less than 16 and 2 is 14 less than 16 which means k and m combined are 29 less than the average. 42 is already 26 more than 16 and hence we only have 29 - 26 = 3 extra to distribute between r and s. Since s must be greater than r, r can be 16+1 = 17 and s can be 16+2 = 18.
So r is 17.
Answer (A)
Answer: (A) 17
Question: The difference between a two-digit number and the number after interchanging the position of the two digits is 45. What is the difference between the two digits of the number?
(A) 4
(B) 6
(C) 5
(D) Cannot be determined
(E) None of these
Rationale: Let the two-digit no. be l0x + y.
Then, (10x + y) â€“ (10y + x) = 45
or, 9(x â€“ y) = 45
or, x â€“ y = 5
Answer C
Answer: (C) 5
Question: A grocer has a sales of Euro 220, Euro 320, Euro 480, Euro 120and Euro 720 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Euro 620?
(A) uro 1691
(B) uro 4591
(C) uro 1860
(D) uro 7791
(E) uro 1991
Rationale: C
Euro 1860
Total sale for 5 months = Euro (220 + 320 + 480 + 120 + 720) = Euro 1860.
Required sale = Euro [ (620 x 6) - 1860]
= Euro (3720 - 1860)
= Euro 1860.
Answer is C
Answer: (C) uro 1860
Question: Carl is facing very difficult financial times and can only pay the interest on a $30,000 loan he has taken. The bank charges him a quarterly compound rate of 5%. What is the approximate interest he pays annually?
(A) $1200
(B) $2000
(C) $2150
(D) $6000
(E) $12000
Rationale: Usually, you are given the annual rate of interest and it is mentioned that it is annual rate.
The bank charges him a quarterly compounded ANNUAL rate of 20%.
Here you find per quarter rate as (20/4)% = 5%
I have actually never seen a question with quarter rate given but since this question did not mentionannual rate of interestand since the options did not make sense with 5% annual rate of interest, it is apparent that the intent was a 5% quarterly rate. So the bank charges 5% every quarter and compounds it in the next quarter. Had it been a simple quarterly rate, we would have just found 4 * 5% of 30,000 = $6000 as our answer.
But since, the interest is compounded, it will be a bit more than $6000. Option (D) looks correct.
Answer: (D) $6000
Question: The greatest possible (straight line) distance, in inches, between any two points on a certain cube is 10. If the cube is modified so that its length is doubled and its width is doubled while its height remains unchanged, then what is the greatest possible (straight line) distance, in inches, between any two points on the modified box?
(A) 10√2
(B) 10√3
(C) 20
(D) 30
(E) 30√3
Rationale: The greatest distance(straight line) between two points in a cube is its diagonal.
Here the length of the digaonal is 10. Side*sqrt(3) = 10
Side = 10/sqrt(3)
Since the length and breadth doubles, and height remains the same.
The new box is a cuboid with length = breadth = 20/sqrt(3) and height is 10/sqrt(3)
The straight line greatest distance is the diagonal.
Diagonal = sqrt(length^2 + breadth^2 + height^2)
Diagonal = sqrt(300) = 10*sqrt(3)
Ans : (Option B)
Answer: (B) 10√3
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 8 boys when No boy gets more than one prize?
(A) 212
(B) 214
(C) 317
(D) 336
(E) 427
Rationale: Sol. In this case, repetitions are not allowed. So, the first prize can be given in 8 ways. The second in 7 ways and the third in 6 ways. But fundamental principle, (8 x 7 x 6) ways = 336 ways
D
Answer: (D) 336
Question: The Jhon purchased 550 square feet of Kentucky Gem sod at $1.89 per square foot and 270 square feet of Blue sod at $1.38 per square foot. What was the approximate average price per square foot paid for all the sod?
(A) $1.63
(B) $1.64
(C) $1.72
(D) $1.74
(E) $1.76
Rationale: Answer D
Average price = (550*1.89)+(270*1.38)/550+270=1.72 (Approx)
C)
Answer: (C) $1.72
Question: The value of (4.7×13.26 + 4.7×9.43+4.7×77.31) is
(A) 0.47
(B) 47
(C) 470
(D) 4700
(E) None
Rationale: Solution
Given expression	= 4.7×(13.26+9.43+77.31)
= 4.7 ×100
= 470.
Answer C
Answer: (C) 470
Question: A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400?
(A) 2887
(B) 1900
(C) 1892
(D) 1987
(E) 1902
Rationale: 65 * 6 : 84 * 5 : 100 * 3
26:28:20
C share = 74000 * 95/100 = 7030 * 20/74
=> 1900
Answer:B
Answer: (B) 1900
Question: At present,the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun’s age will be 26 years. What is the age of Deepak at present ?
(A) 12 years
(B) 15 years
(C) 19½ years
(D) 21 years
(E) None of these
Rationale: Solution
Let the present ages of Arun and Deepak be 4x years and 3x years respectively.
Then, 4x +6 = 26 ⇔ 4x = 20 ⇔ x =5.
∴ Deepak's age =3x =15 years. Answer B
Answer: (B) 15 years
Question: Find the fourth proportional to 2.8, 4.6 and 7.6?
(A) 12.48
(B) 13.56
(C) 15.23
(D) 15.34
(E) 16
Rationale: Formula = Fourth propotional = (b Ã— c)/a
A = 2.8 , B = 4.6 and C = 7.6
(4.6 Ã— 7.6)/2.8 = 12.48
A
Answer: (A) 12.48
Question: In a certain boys camp, 20% of the total boys are from school A and 30% of those study science. If there are 21 boys in the camp that are from school A but do not study science then what is the total number of boys in the camp?
(A) 70
(B) 245
(C) 150
(D) 35
(E) 350
Rationale: Since 30% of the boys from school A study science, then 70% of the boys from school A do NOT study science and since 20% of the total number of boys are from school A, then 0.2*0.7 = 0.14, or 14% of the boys in the camp are from school A and do not study science.
We are told that this number equals to 21, so 0.14*{total} = 21 --> {total} = 150.
Answer: C.
Answer: (C) 150
Question: Tough and Tricky questions: Work/Rate Problems.
A group of 4 junior lawyers require 4 hours to complete a legal research assignment. How many hours would it take a group of three legal assistants to complete the same research assignment assuming that a legal assistant works at two-thirds the rate of a junior lawyer?
Source: Chili Hot GMAT
(A) 13
(B) 10
(C) 9
(D) 8
(E) 5
Rationale: # of people times the # of hours:
4*4 = 16 --> 4 lawyers do 16worksin 4 hours.
3*8/3 = 24/3 = 8 --> 3 assistants do 8 worksin 8/3 hours (2/3*5= 10/3)
So, since the amount of work the assistants do is half the work the lawyers do, the time will be double, soANS D
Answer: (D) 8
Question: Five people are on an elevator that stops at exactly 5 floors. What is the probability that exactly one person will push the button for each floor?
(A) 5!/5^5
(B) 5^5/5!
(C) 5/5!
(D) 5/5^5
(E) 1/5^5
Rationale: Each person out of 5 has 5 options, hence total # of outcomes is 5^5;
Favorable outcomes will be 5!, which is # of ways to assign 5 different buttons to 5 people
So basically # of arrangements of 5 distinct objects: 5!.
P=favorable/total=5!/5^5
Answer: A.
Answer: (A) 5!/5^5
Question: Income and expenditure of a person are in the ratio 5 : 4. If the income of the person is Rs. 15000, then find his savings?
(A) 3600
(B) 3607
(C) 3608
(D) 3602
(E) 3000
Rationale: Let the income and the expenditure of the person be Rs. 5x and Rs. 4x respectively.
Income, 5x = 15000 => x = 3000
Savings = Income - expenditure = 5x - 4x = x
So, savings = Rs. 3000.
Answer:E
Answer: (E) 3000
Question: In a jar there are 3 red gumballs and 2 blue gumballs. What is the probability of drawing at least one red gumball when drawing two consecutive balls randomly?
(A) 2/5
(B) 16/20
(C) 9/10
(D) 3/5
(E) 1/3
Rationale: P(at least one red) = 1 - P(no red, so 2 blue) = 1- 2/5*1/4 = 9/10.
Answer: C.
Answer: (C) 9/10
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
(A) 2.87
(B) 2.88
(C) 2.8
(D) 2.86
(E) 2.81
Rationale: M = 6
S = 1.2
DS = 6 + 1.2 = 7.2
US = 6 - 1.2 = 4.8
x/7.2 + x/4.8 = 1
x = 2.88
Answer: B
Answer: (B) 2.88
Question: For any numbers a and b, a#b = ab(5 − b). If a and a#b both represent positive numbers, which of the following could be a value of b?
(A) 3,2
(B) 3,2,1
(C) 4,3,2,1
(D) 4.4
(E) 5,4
Rationale: a#b positive then b may be positive or negative. if positive then b< 5 may be 4,3,2 or 1 and if negative then it is more than or equal to -1 negative . ab will be -ve which is not possible as a and a#b should be positive.
ans 4 ,3,2 and 1
C
Answer: (C) 4,3,2,1
Question: The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is?
(A) 41 years
(B) 40 years
(C) 76 years
(D) 14 years
(E) 16 years
Rationale: Sum of the present ages of husband, wife and child
= (27 * 3 + 3 * 3) = 90 years.
Sum of the present age of wife and child
= (20 * 2 + 5 * 2) = 50 years.
Husband's present age
= (90 - 50) = 40 years.
Answer:B
Answer: (B) 40 years
Question: How many different positive integers exist between 10^5 and 10^6, the sum of whose digits is equal to 2?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Rationale: 100001
100010
100100
101000
110000
200000
TOTAL NO =6
D
Answer: (D) 6
Question: A and B go around a circular track of length 200 m on a cycle at speeds of 36 kmph and 72 kmph. After how much time will they meet for the first time at the starting point?
(A) 120 sec
(B) 198 sec
(C) 178 sec
(D) 20 sec
(E) 276 sec
Rationale: Time taken to meet for the first time at the starting point
= LCM { length of the track / speed of A , length of the track / speed of B}
= LCM { 200/ (36 * 5/18) , 200/ (72 * 5 /18) }
= LCM (20, 10) = 20 sec.
Answer:D
Answer: (D) 20 sec
Question: The quantities S and T are positive and are related by the equation S=K/T, where k is a constant. If the value of S increases by 40 percent, then the value of T decreases by what percent?
(A) 25%
(B) 33 ¹/₃%
(C) 25%
(D) 66 ²/₃%
(E) 75%
Rationale: We can assign numbers:
lets say S = 2, K = 6 (constant) and T = 3 (so that S=K/T)
Now increasing S by 40% gives S=4, K remains constant, so T = 2 (6/2=3)
decrease in T= 1, percent decrease in T = (1/4)*100 = 25%
Answer C
Answer: (C) 25%
Question: The average of 15 numbers is 75. Average of the first 8 of them is 68 and that of the last 8 is 77. Find the 8th number?
(A) 51
(B) 87
(C) 35
(D) 75
(E) 68
Rationale: Sum of all the 15 numbers = 15 * 75 = 1,125Sum of the first 8 of them = 8 * 68 = 544Sum of the last 8 of them = 8 * 77 = 616So, the 8th number = 544 + 616 - 1,125= 35.Answer: C
Answer: (C) 35
Question: An unbiased die is tossed. Find the probability of getting a multiple of 3
(A) 1/3
(B) 2/5
(C) 1/4
(D) 2/3
(E) 3/7
Rationale: Here S = {1,2,3,4,5,6}
E = event of getting a multiple of 3
E = {3,6}
P(E) = 2/6 = 1/3
Answer is A
Answer: (A) 1/3
Question: The radius of a semi circle is 6.4cm then its perimeter is?
(A) 32.9
(B) 32.4
(C) 22.4
(D) 32.8
(E) 32.1
Rationale: 36/7 r = 6.4 = 32.9
Answer:A
Answer: (A) 32.9
Question: if
111 = 09
444 = 12
777 = 15
then
888 = ???
(A) 18
(B) 11
(C) 17
(D) 19
(E) 15
Rationale: E
15
One+one+one(3+3+3)=09
Four+Four+Four(4+4+4)=12
Seven+Seven+Seven(5+5+5)=15
Therefore
Eight+Eight+Eight(5+5+5)=15
Answer: (E) 15
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 10 minutes, then the area of the park (in sq. m) is
(A) 153200
(B) 240000
(C) 153600
(D) 154000
(E) 154200
Rationale: Perimeter = Distance covered in 10 min. = 12000 x 10 m = 2000 m.
60
Let length = 3x metres and breadth = 2x metres.
Then, 2(3x + 2x) = 2000 or x = 200.
Length = 600 m and Breadth = 400 m.
Area = (600 x 400) m2 = 240000 m2.
B
Answer: (B) 240000
Question: Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
(A) 10.5
(B) 10.0
(C) 10.3
(D) 10.8
(E) 10.2
Rationale: Relative speed = 60 + 40 = 100 km/hr.
= 100 * 5/18 = 250/9 m/sec.
Distance covered in crossing each other = 140 + 160 = 300 m.
Required time = 300 * 9/250 = 54/5 = 10.8 sec.
Answer: D
Answer: (D) 10.8
Question: Abhi roll a dice and he will get money 3 times the outcome. He gives K to shaylendar for every roll. Finally he gets profit of 3 rupees in every roll. what is the value of k?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Rationale: as for 1st roll he gets 3 rupees and if he give 3 to shylendar he will have =3
2 = 6, 6-3=3
3 = 9, 9-3=6
4 = 12, 12-3=9................
so he is getting profit of 3 in every roll....... ans=3
ANSWER:B
Answer: (B) 3
Question: There are three vessels of equal capacity .Vessel A contains Milk and water in the ratio 7:3 ;Vessel B contains Milk and water in the ratio 2:1 and Vessel C contains Milk and water in the ratio 3:2 .If the mixture in all the three vessels is mixed up.What will be the ratio of water to milk ?
(A) 31/59
(B) 59/31
(C) 18/62
(D) 62/18
(E) 22/63
Rationale: 7:3=>7x+3x=10x
2:1=>2y+1y=3y
3:2=>3z+2z=5z
10x=3y=5z
Take LCM of 10,3,5=30
Or simply;
x=3
y=10
z=6
So,
Ratio of Water:Milk= (3x+y+2z)/(7x+2y+3z)=31/59
Ans:A
Answer: (A) 31/59
Question: A scooter costs 25,000 when it is brand new. At the end of each year, its value is only 80% of what it was at the beginning of the year. What is the value of the scooter at the end of 3 years?
(A) 10,000
(B) 12,500
(C) 12,800
(D) 12,000
(E) None of these
Rationale: After first year, the value of the scooter = 20,000
After second year, the value of scooter = 16,000
After third year, the value of scooter = 12,800
Answer C
Answer: (C) 12,800
Question: If a certain number is divisible by 16 and 30, it is NOT necessarily divisible by which of the following?
(A) 8
(B) 12
(C) 21
(D) 24
(E) 60
Rationale: If a certain number is divisible by 16 and 30, it is NOT necessarily divisible by which of the following?
let the certain number be 240, which is both divisible by 16 and 30.
240/21 = 80/7
C. 21
Answer: (C) 21
Question: Sakshi can do a piece of work in 10 days.Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work :
(A) 8
(B) 16
(C) 18
(D) 25
(E) 10
Rationale: Solution
Ratio of times taken by Sakshi and Tanya = 125 : 100 = 5 : 4 .
Suppose Tanya taken x days to do the work.
5 : 4 : : 10 : x ⇒ x = (10x4/5) ⇒ x = 8 days.
Hence,Tanya takes 8 days is complete the work.
Answer A
Answer: (A) 8
Question: A man buys an article for $10. and sells it for $15. Find the gain percent?
(A) 25%
(B) 50%
(C) 20%
(D) 15%
(E) 30%
Rationale: C.P. = $10
S.P. = $15
Gain = $5
Gain% = 5/10 *100 = 50%
Answer is B
Answer: (B) 50%
Question: The number of new words that can be formed by rearranging the letters of the word 'RAM' is ?
(A) 5
(B) 6
(C) 10
(D) 13
(E) 15
Rationale: Number of words which can be formed = 3! - 1
= 6 - 1
= 5
Answer:A
Answer: (A) 5
Question: When 16 is divided by the positive integer k, the remainder is 1, for how many different values of k is this true?
(A) 1
(B) 2
(C) 3
(D) 5
(E) 6
Rationale: When 16 is divided by k, remainder is 1 i.e. there is 1 ball leftover after grouping. so k must be greater than 1.
It also means that 15 is completely divisible by k.
Factors of 15 are 1, 3, 5, 15
Out of these, k can be 3, 5 and 15.
Answer (C)
Answer: (C) 3
Question: Find the Unit’s digit in the product (76^41) * (41^14) * (14^87) * (87^76)
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Rationale: units digit of 87^76 = 1 because 87^3n+1 has units place as 1
units digit of 14^87 = 4 because 14^(some odd no.) has units place as 4
units digit of 41^14 = 1 because 41^(some even no. )has units place as 1
units digit of 76^41 = 6 because 76^(any positive no.)has units place as 6
so , units digit of the product is = " 4 " (units digit of 1*4*1*6)
ANSWER:D
Answer: (D) 4
Question: If ABC is a quarter circle and a smaller circle is inscribed in it; if radius of quarter circle is 1.414units. Find the radius of smaller circle
(A) 0.48
(B) 0.58
(C) 0.68
(D) 0.78
(E) 0.88
Rationale: if r be radius of smaller circle then
distance b/n centres = √2 * r
so, r + r√2 = R here,R = 1.414 =√2
=> r=(√2 -1)R
r = 0 .586 unit
ANSWER:B
Answer: (B) 0.58
Question: 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 = 7. What are the coordinates of P?
(A) (5/8, 5/8)
(B) (15/8, 15/8)
(C) (45/8, 45/8)
(D) (21/8, 21/8)
(E) (53/8, 53/8)
Rationale: The equation of the straight line is y = x, so the x- and y-coordinates of P are the same.
The x, y coordinates are 7/8 of the distance from 3 to 6.
x = 3 + (6-3)*(7/8) = 3 + 21/8 = 45/8 = y
The answer is C.
Answer: (C) (45/8, 45/8)
Question: Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.64000?
(A) 81000
(B) 81028
(C) 27772
(D) 29889
(E) 22312
Rationale: 64000* 9/8 * 9/8 = 81000.Answer:A
Answer: (A) 81000
Question: A train running at the speed of 60 km/hr crosses a pole in 3 sec. What is the length of the train?
(A) 56
(B) 78
(C) 27
(D) 79
(E) 50
Rationale: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 3 = 50 m
Answer: E
Answer: (E) 50
Question: 324 Ã· ? Ã— 15 + 270 = 405
(A) 24
(B) 25
(C) 36
(D) 39
(E) 43
Rationale: Explanation:
324 Ã· ? Ã— 15 = 405 - 270 = 135
(324 Ã— 15)/? = 135
? = (324 Ã— 15)/135 = 36
Answer: Option C
Answer: (C) 36
Question: If 4 2/3 is subtracted form 10 1/2 and the difference is multiplied by 450, then what is the final answer?
(A) 3389
(B) 3800
(C) 2378
(D) 2203
(E) 2625
Rationale: Final answer = (10 1/2 - 4 2/3) * 450
= 5 5/6 * 450 = 5 * 450 + 5/6 * 450
= 2250 + 375 = 2625.
Answer: E
Answer: (E) 2625
Question: The average of ten numbers is 7. If each number is multiplied by 11, then what is the average of the new set of numbers?
(A) 11
(B) 18
(C) 77
(D) 110
(E) 121
Rationale: The sum of the ten numbers is 7*10 = 70
If each number is multiplied by 11, the new sum is 11*(70).
The average is then 11*7 = 77
The answer is C.
Answer: (C) 77
Question: Two cars cover the same distance at the speed of 80 and 84 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car?
(A) 1350
(B) 1000
(C) 1200
(D) 1400
(E) 1100
Rationale: 80(x + 1) = 84x
X = 20
60 * 20 = 1200 km
Answer:C
Answer: (C) 1200
Question: 8 years ago there were 5 members in the Arthur's family and then the average age of the family was 36 years. Mean while Arthur got married and gave birth to a child. Still the average age of his family is same now. What is the age of his wife at the time of his child's birth was.If the difference between the age of her child and herself was 26 years.
(A) 15 years
(B) 26 years
(C) 16 years
(D) 11 years
(E) 12 years
Rationale: Explanation:
Since we know that the difference b/w the age of any two persons remains always constant, while the ratio of their ages gets changed as the time changes.
so, if the age of his child be x (presently)
Then the age of wife be x + 26 (presently)
Thus the total age = x + ( x + 26) = 32 [\inline \because 252-220 =32]
\inline \Rightarrow x = 3
\inline \therefore The age of her child is 3 years and her self is 29 years. Hence her age at the time of the birth of her child was 26 years.
Answer: B
Answer: (B) 26 years
Question: In order to fulfill a local school’s request for x cakes, B parents agreed to each bake an equal number of cakes. If p of the parents did not bake any cakes, which of the following represents the additional number of cakes that each of the other parents had to bake in order for the school’s request for x cakes to be fulfilled?
(A) px/B
(B) px/(B(B - P))
(C) x/(B - P)
(D) p/(B - Px)
(E) p/(B(B - p))
Rationale: No of cakes each parent has to bake : x/B
No of parents did not bake cake = p
No of cakes that were not baked by p parents = p*x/B
No of parents has to bake additional cakes = B-p
additional number of cakes that each of the other parents had to bake in order for the school’s request for x cakes = px/(B(B - P))
Answer B
Answer: (B) px/(B(B - P))
Question: Twenty percent of the skiers that tried out for the ski patrol were selected. Of those that were not selected, 25 skiers were CPR certified and 31 were not. How many skiers tried out for the ski patrol?
(A) 40
(B) 50
(C) 60
(D) 70
(E) 80
Rationale: Not Selected = 80%
If total is x.
Then 0.8x=25+31=56
x=70
Hence answer is D.
Answer: (D) 70
Question: How many litres of pure acid are there in 4 litres of a 35% solution
(A) 1.5
(B) 1.6
(C) 1.7
(D) 1.8
(E) 1.4
Rationale: Explanation:Question of this type looks a bit typical, but it is too simple, as below... It will be 8 * 20/100 = 1.4 Answer: Option E
Answer: (E) 1.4
Question: A car starts from X and moves towards Y. At the same time another car starts from Y and moves towards X. Both travel at a constant speed and meet after 5 hours. During that time, the faster car traveled 2/3 of the distance XY. How long would it take the slower car to travel the distance XY?
(A) 6 hours
(B) 8 hours
(C) 10 hours
(D) 12 hours
(E) 15 hours
Rationale: If one car travelled 2/3, then the other car must have travelled only 1/3, as they are meeting after 5 hours in a certain point. So:
(1/3)XY= 4*y --> It took the car 5 hours to travel 1/3 of the distance at a constant speed y.
So if we solve this last equation:
XY= 3*5*y= 15*y --> It will take this car 15 hours in total to reach its final destination.
Answer: E
Answer: (E) 15 hours
Question: Gopi gives Rs. 90 plus one turban as salary to his servant for one year. The servant leaves after 9 months and receives Rs. 45 and the turban. Find the price of the turban.
(A) 27
(B) 36
(C) 29
(D) 90
(E) 11
Rationale: Let the price of turban be x.
Thus, for one year the salary = (90 + x)
For 9 months he should earn 3434 (90 + x).
Now he gets one turban and Rs. 45.
Thus, 3434 (90 + x) = 45 + x or 270 + 3x = 180 + 4x or x = 90
Answer:D
Answer: (D) 90