divelab/Sys2Bench huggingface dataset:
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?
Options:
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
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?
Options:
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
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?
Options:
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
Question: The value of (4.7×13.26 + 4.7×9.43+4.7×77.31) is
Options:
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
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?
Options:
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
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 ?
Options:
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
Question: Find the fourth proportional to 2.8, 4.6 and 7.6?
Options:
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
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?
Options:
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
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
Options:
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
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?
Options:
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
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?
Options:
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
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?
Options:
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
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?
Options:
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
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?
Options:
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
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?
Options:
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
Question: How many different positive integers exist between 10^5 and 10^6, the sum of whose digits is equal to 2?
Options:
A)3
B)4
C)5
D)6
E)7
Rationale: 100001
100010
100100
101000
110000
200000
TOTAL NO =6
D
Answer: D
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?
Options:
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
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?
Options:
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
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?
Options:
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
Question: An unbiased die is tossed. Find the probability of getting a multiple of 3
Options:
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
Question: The radius of a semi circle is 6.4cm then its perimeter is?
Options:
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
Question: if
111 = 09
444 = 12
777 = 15
then
888 = ???
Options:
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
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
Options:
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
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?
Options:
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
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?
Options:
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
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 ?
Options:
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
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?
Options:
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
Question: If a certain number is divisible by 16 and 30, it is NOT necessarily divisible by which of the following?
Options:
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
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 :
Options:
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
Question: A man buys an article for $10. and sells it for $15. Find the gain percent?
Options:
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
Question: The number of new words that can be formed by rearranging the letters of the word 'RAM' is ?
Options:
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
Question: When 16 is divided by the positive integer k, the remainder is 1, for how many different values of k is this true?
Options:
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
Question: Find the Unit’s digit in the product (76^41) * (41^14) * (14^87) * (87^76)
Options:
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
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
Options:
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
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?
Options:
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
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?
Options:
A)81000
B)81028
C)27772
D)29889
E)22312
Rationale: 64000* 9/8 * 9/8 = 81000.Answer:A
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 3 sec. What is the length of the train?
Options:
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
Question: 324 Ã· ? Ã— 15 + 270 = 405
Options:
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
Question: If 4 2/3 is subtracted form 10 1/2 and the difference is multiplied by 450, then what is the final answer?
Options:
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
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?
Options:
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
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?
Options:
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
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.
Options:
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
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?
Options:
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
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?
Options:
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
Question: How many litres of pure acid are there in 4 litres of a 35% solution
Options:
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
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?
Options:
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
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.
Options:
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
Question: The only people in each of rooms A and B are students, and each student in each of rooms A and B is either a junior or a senior. The ratio of the number of juniors to the number of seniors in room A is 4 to 5, the ratio of the number of juniors to the number of seniors in room B is 3 to 17, and the ratio of the total number of juniors in both rooms A and B to the total number of seniors in both rooms A and B is 5 to 7. What is the ratio of the total number of students in room A to the total number of students in room B ?
Options:
A)29/12
B)59/10
C)65/8
D)48/5
E)29/3
Rationale: Ratio in A: 4/5 so total students in A = 9x
Ratio in B: 3/17 so total students in B = 20y
(4x+3y)/(5x+17y) = 5/7
solving, x/y = 64/3
required ratio = 9x/20y = (64*9)/(3*20) = 48/5
ANSWER:D
Answer: D
Question: Ahmed, Babu, Chitra, David and Eesha each choose a large different number. Ahmed says, “ My number is not the largest and not the smallest”. Babu says, “My number is not the largest and not the smallest”. Chitra says, “My number is the largest”. David says, “ My number is the smallest”. Eesha says, “ My number is not the smallest”. Exactly one of the five children is lying. The others are telling the truth. Who has the largest number?
Options:
A)Eesha
B)David
C)Chitra
D)Babu
E)EEEW
Rationale: Largest ->	A	B	C	D	E
A	F	T/F	T/F	T/F	T/F
B	T/F	F	T/F	T/F	T/F
C	F	F	T	F	F
D	T/F	T/F	T/F	F	T/F
E	T/F	T/F	T/F	T/F	T
Ans: A
Answer: A
Question: What will come in place of the x in the following Number series? 11, 14, 19, 22, 27, 30, x
Options:
A)23
B)26
C)36
D)35
E)45
Rationale: (D)
The pattern is + 3, + 5, + 3, + 5, …………
So the missing term is = 30 + 5 = 35.
Answer: D
Question: Meera purchased two three items from a shop. Total price for three items is Rs.6000/- She have given Rs. 10000/- What is the balance amount meera got?
Options:
A)6000
B)3500
C)5000
D)4000
E)7500
Rationale: Total cost of Items : 6000/-
amount Paid : 10000/-
Balance receivable : 10000- 6000= 4000/-
Answer is D
Answer: D
Question: Ifaequals the sum of the even integers from 2 to 40, inclusive, andbequals the sum of the odd integers from 1 to 39, inclusive, what is the value of a - b ?
Options:
A)1
B)10
C)19
D)20
E)21
Rationale: This is a solution from Beatthegmat:
even numbers:
(40-2)/2 + 1 = 20 even integers.
(40+2)/2 = 21 is the average of the even set.
sum = avg*(#of elements) = 21*20 =420 = a
odd numbers:
(39-1)/2 + 1 = 20 odd integers.
(39+1)/2 = 20 is the average of the odd set.
sum = avg*(#of elements) = 20*20 = 400 = b
a-b = 420 - 400 = 20.
Answer : D
Answer: D
Question: A father said his son , " I was as old as you are at present at the time of your birth. " If the father age is 48 now, the son age 5 years back was
Options:
A)14
B)17
C)11
D)19
E)99
Rationale: Let the son's present age be x years .Then, (48 - x) = x x= 24.
Son's age 5 years back = (24 - 5) = 19 years
Answer: D
Answer: D
Question: Mr.Jones gave 40% of the money he had to his wife. he also gave 20% of the remaining amount to his 3 sons. half of the amount now left was spent on miscellaneous items and the remaining amount of Rs.12000 was deposited in the bank. how much money did Mr.Jones have initially?
Options:
A)100
B)1000000
C)1000
D)1
E)10000
Rationale: Let the initial amount with Mr.Jones be Rs.x
Then, (1/2)[100-(3*20)]% of x=12000
 (1/2)*(40/100)*(60/100)*x=12000
x=((12000*25)/3)=100000
ANSWER B
Answer: B
Question: What number has a 5:1 ratio to the number 10?
Options:
A)42
B)50
C)55
D)62
E)65
Rationale: Explanation:
5:1 = x: 10
x = 50
ANSWER IS B
Answer: B
Question: An analyst will recommend a combination of 4 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 8 stocks are possible?
--
Options:
A)12
B)19
C)90
D)180
E)720
Rationale: 5C4 * 4C2 * 3C2 = 5*6*3 = 90.
Answer: C.
Answer: C
Question: 3-3*6+2=
Options:
A)2
B)-13
C)-18
D)-17
E)none of the above
Rationale: It is easy and you have to follow BODMAS..
3-3*6+2 = 5-18 = -13...
Your OA -17 would be if the equation is 3-(3*6+2)....
so the answer is -13.
ANSWER:B
Answer: B
Question: A construction company wants to number new houses using digit plates only. If the company puts an order for 312 plates, how many houses are to be given numbers? (The numbers of houses are consecutive and the number of the first house is 1).
Options:
A)140
B)150
C)160
D)170
E)180
Rationale: You know that the answer is going to be three digits, and it's easy to figure out how many 1 and 2 digit numbers (9 and 90), so the real question is how many 3 digit number are there?
99+(312-9-90*2)/3=140
Answer : A
Answer: A
Question: Find the average of all prime numbers between 12 and 24.
Options:
A)30
B)33.6
C)18
D)20
E)None
Rationale: Sol.
There are five prime numbers between 12 and 24.
They are 13, 17, 19, 23
âˆ´ Required average = [13+ 17+ 19+ 23 / 4] = 72/ 4 = 18
Answer C
Answer: C