mathewhe/aqua_rat huggingface dataset:
Question: Two trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
(A) 10 sec
(B) 32 sec
(C) 82 sec
(D) 20 sec
(E) 89 sec
Rationale: Relative speed = (42 + 30) * 5/18 = 4 * 5 = 20 mps.
Distance covered in passing each other = 120 + 280 = 400 m.
The time required = d/s = 400/20 = 20 sec.
Answer:D
Answer: (D) 20 sec
Question: Two trains 110 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) 10.9
(B) 10.7
(C) 10.3
(D) 10.8
(E) 9.72
Rationale: Relative speed = 60 + 40 = 100 km/hr.
= 100 * 5/18 = 250/9 m/sec.
Distance covered in crossing each other = 110 + 160 = 270 m.
Required time = 270 * 9/250 = 243/25 = 9.72 sec.
'Answer: E
Answer: (E) 9.72
Question: In the kitchen of a busy restaurant, it takes M minutes to wash P pots. At this rate, how many hours does it take to wash 4P pots?
(A) M/15
(B) 15M
(C) 15/M
(D) 4M/15
(E) 15/4M
Rationale: The time it takes to wash 4P pots is 4M minutes which is 4M / 60 = M/15 hours.
The answer is A.
Answer: (A) M/15
Question: A division of a company consists of five men and seven women. If two of these twelve employees are randomly selected as representatives of the division, what is the probability that both representatives will be female?
(A) 5/22
(B) 7/22
(C) 5/33
(D) 7/33
(E) 5/66
Rationale: The total number of ways to choose two representatives is 12C2=66.
The number of ways to choose two females is 7C2=21.
P(choosing two female representatives)=21/66=7/22
The answer is B.
Answer: (B) 7/22
Question: On a business trip, 30 percent of 60 sales representatives will be given accommodations at Hotel XYZ and the remaining 70 percent will be given accommodations at Hotel ABC. However, 35 percent of the sales representatives prefer to stay at Hotel XYZ and 65 percent prefer to stay at Hotel ABC. What is the highest possible number of sales representatives NOT given accommodations at the hotel they prefer?
(A) 33
(B) 36
(C) 39
(D) 42
(E) 45
Rationale: 18 people stay in XYZ and 42 people stay in ABC.
21 people prefer XYZ and 39 people prefer ABC.
Let's put all 21 people who prefer XYZ in hotel ABC.
Then 18 people who prefer ABC will stay in XYZ.
The highest possible number who are not given their preference is 21+18=39.
The answer is C.
Answer: (C) 39
Question: Jane makes toy bears. When she works with an assistant, she makes 71 percent more bears per week and works 10 percent fewer hours each week. Having an assistant increases Jane’s output of toy bears per hour by what percent?
(A) 20%
(B) 80%
(C) 90%
(D) 180%
(E) 200%
Rationale: Let's assume just Jane 40 bears per 40/hrs a week, so that is 1 bear/hr. With an assistant she makes 68.4 bears per 36 hours a week or 1.9 bears/hr ([40 bears * 1.71] / [40 hrs * .90]).
[(1.9 - 1)/1] * 100% = 90%
ANSWER:C
Answer: (C) 90%
Question: The amount of an investment will double in approximately 70/ p years, where p is the percent interest, compounded annually. If Thelma invests $ 40,000 in a long-term CD that pays 5 percent interest, compounded annually, what will be the approximate total value of the investment when Thelma is ready to retire 28 years later?
(A) $ 160,000
(B) $ 320,000
(C) $ 360,000
(D) $ 450,000
(E) $ 540,000
Rationale: The amount of an investment will double in approximately 70/ p years, where p is the percent interest, compounded annually. If Thelma invests $ 40,000 in a long-term CD that pays 5 percent interest, compounded annually, what will be the approximate total value of the investment when Thelma is ready to retire 42 years later?
The investment gets doubled in 70/p years. Therefore, the investment gets doubled in 70/5= every 14 years. After 28 years, the investment will get doubled 28/14= 2 times.
So the amount invested will get doubled thrice.
So, 40000 *2 = 80000
80000*2 = 160000
Hence, the answer is A.
Answer: (A) $ 160,000
Question: What percent of 5 letter combinations that can be made from the letters of the word HERMONT and in which each letter can be used only once are the combinations in which the first letter is a vowel and the last letter is a consonant?
(A) 20%
(B) 23.8%
(C) 25%
(D) 30.2%
(E) 35%
Rationale: a) noof combinations when all 5 letters are different = 7*6*5*4*3
b) noof combinations when first letter is vowel and last is consonant = 2c1*5c1*5*4*3
b/a = 5/21= 0.238
B
Answer: (B) 23.8%
Question: A car travels from point A to point B. The average speed of the car is 60 km/hr and it travels the first half of the trip at a speed of 45 km/hr. What is the speed of the car in the second half of the trip?
(A) 75
(B) 80
(C) 90
(D) 95
(E) 100
Rationale: Let D be the distance and let V be the speed in the second half.
The total time = T1 + T2
D/60 = D/90 + (D/2) / V
D/180 = D/2V and so V = 90 km/hr
The answer is C.
Answer: (C) 90
Question: If A^2 + B^2 = 30 and AB = 10, what is the value of the expression (A - B)^2 + (A + B)^2?
(A) 10
(B) 20
(C) 30
(D) 60
(E) 70
Rationale: (a-b)^2 = a^2 + b^2 - 2ab = 30-20=10
(a+b)^2 = a^2 + b^2 + 2ab = 30+20=50
so (a+b)^2 + (a-b)^2 = 50 +10 = 60
D
Answer: (D) 60
Question: The probability that a number selected at random from the first 50 natural numbers is a composite number is?
(A) 17/26
(B) 17/25
(C) 17/29
(D) 17/24
(E) 17/21
Rationale: The number of exhaustive events = ⁵⁰C₁ = 50.
We have 15 primes from 1 to 50.
Number of favourable cases are 34.
Required probability = 34/50 = 17/25.
Answer:B
Answer: (B) 17/25
Question: A group of 10 people plan to rent a van and agree to share equally the total cost of the rental, which is E dollars. If n of the people decide not to participate at the last minute, by how many dollars will each remaining person's share of the total cost increase?
(A)  E/(12 - n)
(B)  (12 - n)/E
(C)  nE / [10(10-n)]
(D)  E/[12(12-n)]
(E)  (12-n)E/(12n)
Rationale: total cost =E
no of people willing to participate initially =10
initial cost for each =E/10
when n people decided not to participate
Cost for each =E/10-n
C
Answer: (C)  nE / [10(10-n)]
Question: In a division, divident is 729, divisior is 38 and quotient is 19. Find the remainder.
(A) A)4
(B) B)3
(C) C)2
(D) D)5
(E) E)7
Rationale: Explanation:
729 = 38 x 19 + r
729 = 722 + r
r = 729 - 722 = 7
Answer: Option E
Answer: (E) E)7
Question: Tom found a box of 220 baseball cards. Being a thoughtful older brother, he wanted to save at least 20 percent of the cards for himself and split the remaining cards evenly among his 4 younger brothers. What is the lowest possible number of cards that Tom can save for himself that will also allow each of his 4 younger brothers to get an equal number of cards?
(A) 110
(B) 112
(C) 116
(D) 118
(E) 120
Rationale: This question can be easily solved by looking at the options.
Assuming number of cards to be x
We need to find the option for which (1/4)*(x/5) is an integer
Or x/20 is an integer.
Hence we need the lowest multiple of 20 from the given options.
Let us start from the lowest value:
Option A: 110. This is not a multiple of 20
Option E: 120 = 20*6. This is a multiple of 20. Hence the correct answer.
Correct Option: E
Answer: (E) 120
Question: A number is doubled and 13 is added. If resultant is trebled, it becomes 93. What is that number
(A) 8
(B) 9
(C) 12
(D) 14
(E) 16
Rationale: Explanation:
=> 3(2x+13) = 93
=> 2x+13 = 31
=> x = 9
Option B
Answer: (B) 9
Question: A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?
(A) 165 ways
(B) 178 ways
(C) 916 ways
(D) 156 ways
(E) 145 ways
Rationale: Total number of persons in the committee
= 5 + 6 = 11
Number of ways of selecting group of eight persons
= ¹¹C₈ = ¹¹C₃ = (11 * 10 * 9)/(3 * 2) = 165 ways.
Answer:A
Answer: (A) 165 ways
Question: Jake bought oranges at the supermarket for Y dollars an orange and sugar for M dollars per kilogram.
Then, he made lemonade using P oranges and Q kgs of sugar per liter and he sold Z liters of lemonade for X dollars per liter.
How much money has he made after selling all the lemonade?
(A) ZX(PY+QM)
(B) ZPM-ZQY
(C) XZ-PYZ-QMZ
(D) XZ-(MQ-YP)
(E) XQ-PY+ZM
Rationale: First, the cost of the lemonade per liter= PY+QM dollars
Since Jake sold Z liters of lemonade, the cost price= Z(PY+QM) dollars
The selling price=ZX dollars
Profit=ZX-Z(PY+QM)
=(X-PY-QM)Z
The answer is C!!
Answer: (C) XZ-PYZ-QMZ
Question: Joe works d days a month at 20 dollars per day for n months out of the year. Which of the following represents his monthly pay?
(A) n/(d20)
(B) d20
(C) 10nd/6
(D) d20/n
(E) 20dn
Rationale: Total income of Joe in a year = d*20*n dollars. Now Monthly income = Total/12 = d*20*n / 12 = 10nd/6 Answer is C
Answer: (C) 10nd/6
Question: This year, MBB Consulting fired 7% of its employees and left remaining employee salaries unchanged. Sally, a first-year post-MBA consultant, noticed that that the average (arithmetic mean) of employee salaries at MBB was 10% more after the employee headcount reduction than before. The total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction?
(A) 98.5%
(B) 100.0%
(C) 102.3%
(D) 104.5%
(E) 105.0%
Rationale: 100 employees getting 1000$ avg, so total salary for 100 ppl = 100000
7% reduction in employees lead to 93 employees and a salary increase of 10% of previous avg salary
Thus the new avg salary is = 10%(1000)+1000 = 1100
so total salary of 93 employees is 93*1100 = 102300
Now the new salary is more than previous salary by x%. x = (102300/100000)*100 = 102.3%
So the Answer is C
Answer: (C) 102.3%
Question: Find the surface area of a cuboid 16 m long, 14 m broad and 12 m high
(A) 868 sq.cm
(B) 1168 sq.cm
(C) 1152 sq.cm
(D) 900 sq.cm
(E) None of these
Rationale: Explanation:
Surface area = [2 (16 x 14 + 14 x 12 + 16 x 12)] cm2 = (2 x 584)cm2 = 1168 cm2.
Answer: B
Answer: (B) 1168 sq.cm
Question: 40 × ? + (12 + 8) × 3/5 = 1212
(A) A)7
(B) B)5
(C) C)4
(D) D)18
(E) E)30
Rationale: Explanation:
=> 40 × ? + (12 + 8) × 3/5 = 1212
=> 40 × ? = 1212 - (12 + 8) × 3/5
=> 40 × ? = 1212 - 20 × 3/5
=> 40 × ? = 1212 - 20 × 3/5 = 1200
=> ? = 1200/40 = 30
Answer: Option E
Answer: (E) E)30
Question: A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?
(A) 100 m
(B) 276 m
(C) 186 m
(D) 187 m
(E) 124 m
Rationale: Relative speed of the thief and policeman = 11 - 10 = 1 km/hr.
Distance covered in 6 minutes = 1/60 * 6 = 1/10 km = 100 m.
Distance between the thief and policeman = 200 - 100 = 100 m.
Answer: A
Answer: (A) 100 m
Question: 5359 x 51 = ?
(A) 273232
(B) 273243
(C) 273247
(D) 273250
(E) 273309
Rationale: 5359 x 51	= 5359 x (50 + 1)
= 5359 x 50 + 5359 x 1
= 267950 + 5359
= 273309
E)
Answer: (E) 273309
Question: A focus group of three people is to be chosen from four pairs of boss-subordinate for a study. What is the number of different focus groups that can be chosen if two people who are boss-subordinate cannot both get in the group ?
(A) 16
(B) 24
(C) 26
(D) 30
(E) 32
Rationale: Each pair can send only one representative to the focus group. Let's see in how many ways we can choose 3 individuals (as there should be 3 members) out of 4 to send only one representatives to the group : 4C3=4.
But each of these 3 pairs can send two persons (boss or subordinate): 2*2*2=2^3=8.
Total # of ways: 4C3*2^3=32.
Answer: E.
Answer: (E) 32
Question: Combine terms: 10a + 26b -4b – 16a.
(A) 4a + 22b
(B) -28a + 30b
(C) -6a + 22b
(D) 28a + 30b
(E) 5a + 30b
Rationale: Solution:
10a + 26b -4b – 16a.
= 10a – 16a + 26b – 4b.
= -6a + 22b.
Answer: (C)
Answer: (C) -6a + 22b
Question: Find the resultant profit if A sells a cupboard at a profit of 6% to B and B sells the same to C at a profit of 9%.
(A) 15%
(B) 16%
(C) 14.5%
(D) 15.54%
(E) None of these
Rationale: Explanation:
The resultant profit = 1.06 * 1.09 = 1.1554 = 15.54%
Alternatively, the resultant profit = [x + y + xy/100]
= 6 + 9 + (6*9)/100
= 15 + 0.54
= 15.54%
ANSWER D
Answer: (D) 15.54%
Question: Three numbers are in the ratio of 2 : 3 : 4 and their L.C.M. is 300. What is their H.C.F.?
(A) 20
(B) 25
(C) 30
(D) 60
(E) 75
Rationale: Let the numbers be 2x, 3x, and 4x.
LCM of 2x, 3x and 4x is 12x.
12x = 300
x = 25
HCF of 2x, 3x and 4x = x = 25
The answer is B.
Answer: (B) 25
Question: In a group of 25 factory workers, 18 have brown eyes. Six of the women do not have brown eyes. How many of the 11 men have brown eyes.
(A) 10
(B) 9
(C) 8
(D) 7
(E) 4
Rationale: Total number of worker (M+W): 25
No. of men (M): 11 (Inferred fromHow many of the 11 men)
No. of women (W): 14
Total no. of workers who have brown eyes (B): 18
No. of women who do not have brown eyes: 6
Therefore, no. of women who have brown eyes: W - 6 = 14 - 6 = 8
Remaining 10 are men. (B - 8= 18 - 8= 10)
So 10 out of 11 men have brown eyes.
A
Answer: (A) 10
Question: If a square and a rhombus stand on the same base, then the ratio of the areas of the square and the rhombus is
(A) greater than 1
(B) equal to 1 / 2
(C) equal to 1
(D) equal to 1 / 4
(E) None
Rationale: Solution
A square and a rhombus on the same base are equal in area.
Answer C
Answer: (C) equal to 1
Question: Three numbers are in the ratio 3:5:7. The largest number is 28. What is the difference between smallest and largest number?
(A) 12
(B) 14
(C) 16
(D) 18
(E) 20
Rationale: The three numbers are 3x, 5x, and 7x.
The largest number is 28 = 7*4, so x = 4.
The smallest number is 3*4 = 12.
28 - 12 = 16
The answer is C.
Answer: (C) 16
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
(A) 20/9 sec
(B) 23/9 sec
(C) 20/7 sec
(D) 29/7 sec
(E) 21/9 sec
Rationale: They are moving in opposite directions, relative speed is equal to the sum of their speeds.
Relative speed = (54 + 72)*5/18 = 7*5 = 35 mps.
The time required = d/s = 100/35 = 20/7 sec.
Answer:C
Answer: (C) 20/7 sec
Question: What is the least number should be added to 1056, so the sum of the number is completely divisible by 27?
(A) 21
(B) 22
(C) 23
(D) 24
(E) 25
Rationale: (1056 / 27) gives remainder 3
24 + 3 = 27, So we need to add 24
D
Answer: (D) 24
Question: Of the votes cast on a certain proposal, 66 more were in favor of the proposal than were against it. If the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast? (Each vote cast was either in favor of the proposal or against it.)
(A) 290
(B) 310
(C) 330
(D) 350
(E) 370
Rationale: Let x be the total number of votes cast.
0.6x = 0.4x + 66
0.2x = 66
x = 330
The answer is C.
Answer: (C) 330
Question: A two digit number is 18 less than the sum of the squares of its digits. How many such numbers are there?
(A) 22
(B) 67
(C) 200
(D) 288
(E) 111
Rationale: Option 2
Only 47 and 67 satisfy the condition
Answer:B
Answer: (B) 67
Question: A train 100m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
(A) 46
(B) 50
(C) 40
(D) 36
(E) 41
Rationale: Speed of the train relative to man =100/10 m/sec
=10m/sec.
=10x18/5km/hr
= 36 km/hr.
Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr.
x - 5 = 36 =41km/hr.
Answer:E
Answer: (E) 41
Question: A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
(A) 12
(B) 15
(C) 16
(D) 18
(E) 19
Rationale: one day work done by A=1/20
work done by A in 2 days=1/10
work done by A,B,C on 3rd day=1/10+1/10=1/5
1/5th of the work will be completed at the end of 3 days
the remaining work =1-1/5=4/5
1/5 of work is completed in 3 days
total work wiil be done in 3*5=15 days
ANSWER:B
Answer: (B) 15
Question: HOW MANY KGS OF TEA WORTH RS.25/KG MUST BE BLENDED WITH 30 KGS OF TEA WORTH RS.30/KG SO THAT BY SELLING THE BLENDED VARIETY AT RS.30/KG THERE SHOULD BE A GAIN OF 3%
(A) 36
(B) 8
(C) 7
(D) 6
(E) 6.3
Rationale: (x+30)*30=(103/100)(25x+30*30)
Solving we get 6.3.
Answer is E.
Answer: (E) 6.3
Question: If 5 ministers are to be seated at a round table conference, then how many different ways can they be seated?
(A) 240
(B) 60
(C) 24
(D) 720
(E) 180
Rationale: Simple formula:
There are (n - 1)! ways to arrange n distinct objects in a circle.
so its (5-1)! =4! = 24=C
Answer: (C) 24
Question: Last week Vartan spent 15 percent of his wages on recreation. This week, his wages are 10 percent less than last weekʼs wages and he spent 30 percent of his wages on recreation. The amount he spends on recreation this week is what percent of the amount he spent on recreation last week?
(A) 100%
(B) 160%
(C) 180%
(D) 200%
(E) 220%
Rationale: Say Vartan's wages last week were $100, so he spent 0.15*100=$15 on recreation;
This week's wages is 0.9*100=$90, so he spends 0.3*90=$27 on recreation;
27/15=1.8, hence the amount he spends on recreation this week is 180% of the amount he spent on recreation last week: 15*1.8=27.
Answer: C.
Answer: (C) 180%
Question: Maria drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 9 hours. When Maria drove home, there was no traffic and the trip only took 4 hours. If her average rate was 40 miles per hour faster on the trip home, how far away does Maria live from the mountains?
(A) 787 miles
(B) 772 miles
(C) 287 miles
(D) 979 miles
(E) 288 miles
Rationale: Explanation:
Time taken for trip from home to mountains = 9 h
Time taken for trip from mountains to home = 4 h
Let distance from home to mountains = x miles
let avg speed from home to mountains = y miles/h
Given avg speed on the trip home is 40 m/h faster than speed from home to mountains = y + 40 m/h
⇒ (x/9) = y and (x/4) = y + 40
by solving this, we get y = 32 m/h and the distance x=32 × 9 = 288 miles.
Answer:E
Answer: (E) 288 miles
Question: A man rows his boat 85 km downstream and 25 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
(A) 6
(B) 12
(C) 5
(D) 8
(E) 9
Rationale: Speed downstream = d/t = 85/(2 1/2) = 34 kmph
Speed upstream = d/t = 25/(2 1/2) = 10 kmph
The speed of the stream = (34 - 10)/2
= 12 kmph
Answer: B
Answer: (B) 12
Question: In a business, A and C invested amounts in the ratio 5 : 3 , whereas the ratio between amounts invested by A and B was 3 : 2 . If Rs 1863200 was their profit, and they invest half of profit in business again, then how much amount did B receive?
(A) 245000
(B) 480200
(C) 274000
(D) 248600
(E) None of these
Rationale: Explanation :
Assume that investment of C = 3x
Then, investment of A =5x
Investment of B = 10x/3
A:B:C = 5x : 10x/3 : 3x = 5 : 10/3 : 3 =15 : 10 : 9
Amount divided between them = 1863200/2 = 931600
B's share = 931600 * 10/(15+10+9) = 931600*10/34
= 27400*10 = 274000.
Answer : Option C
Answer: (C) 274000
Question: On Wednesday, the original price of a shirt was discounted by 20%. On Monday, the price of the shirt was marked up B percent so that the new price on Monday was 20% more than the original price before the discount. What is the value of B?
(A) 20%
(B) 30%
(C) 33 1⁄3%
(D) 40%
(E) 50%
Rationale: Let the original price be 100
discounted Price = 80
New Price = 20 +100 =120
B=(40/80)*100
Ans:E
Answer: (E) 50%
Question: Subtracting 3% of A from A is equivalent to multiplying A by how much ?
(A) 0.97
(B) 9.4
(C) 0.094
(D) 94
(E) None
Rationale: Answer
Let A - 3% of A = AB.
⇒ (97 x A) / 100 = AB
∴ B = 0.97
Correct Option: A
Answer: (A) 0.97
Question: A is twice as good a work man as B and together they finish the work in 12 days. In how many days A alone can finish the work?
(A) 12 days
(B) 14 days
(C) 28 days
(D) 18 days
(E) 16 days
Rationale: WC = 2:1
2x + x = 1/12 => x = 1/36
2x = 1/18
A can do the work in 18 days.
ANSWER:D
Answer: (D) 18 days
Question: A group consists of 4 men, 6 women and 3 children. In how many ways can 2 men , 3 women and 1 child selected from the given group?
(A) 400
(B) 360
(C) 287
(D) 278
(E) 281
Rationale: Explanation:
Two men, three women and one child can be selected in â´Câ‚‚ * â¶Câ‚ƒ * âµCâ‚ ways
= (4 * 3)/(2 * 1) * (6 * 5 * 4)/(3 * 2) * 3
= 360 ways.
Answer:B
Answer: (B) 360
Question: A boat can move upstream at 50 kmph and downstream at 20 kmph, then the speed of the current is?
(A) 5
(B) 9
(C) 5
(D) 15
(E) 12
Rationale: US = 50
DS = 20
M = (50- 20)/2 = 15
Answer: D
Answer: (D) 15
Question: In how many ways can 4 different resistors be arranged in series?
(A) 6
(B) 24
(C) 120
(D) 360
(E) 720
Rationale: 4! = 4 * 3 * 2 * 1 = 24
Ans - B
Answer: (B) 24
Question: How many two-element subsets of <1, 2,3,4,5> are there that do not contain the pair of elements 2 and 4?
(A) 1
(B) 2
(C) 4
(D) 5
(E) 9
Rationale: 5C2 - 1 = 9 Answer is E
Answer: (E) 9
Question: Ramesh spends 20% of his monthly salary on food, 10% of the remaining on conveyance and clothes and saves 75% of the remaining amount. If his monthly salary is Rs.20,000, how much money does he save every month ?
(A) Rs.2645
(B) Rs.7945
(C) Rs.3694
(D) Rs. 10080
(E) Rs.1589
Rationale: Explanation:
Ramesh's monthly income = Rs.20,000
He spends 20% on food.
The total money spent on food = 20/100 * 20000 = Rs. 4000
Now, his monthly remaining income = Rs.20000 – Rs.4000 = Rs. 16000
Out of Rs. 16000, he spends 10% on conveyance and clothes.
The total money spent on conveyance and clothes = 10/100 * 16000 = Rs. 1600
Now, his monthly remaining income = Rs.16000 – Rs.1600 = Rs. 14400
Out of Rs. 14400, he saves 70%.
Amount saved = 70/100 * 14400 = Rs. 10080
ANSWER:D
Answer: (D) Rs. 10080
Question: Find the next no.
82, 51, 28, 20, ?
(A) 14
(B) 24
(C) 34
(D) 44
(E) 54
Rationale: 82=9^2+1
51=7^2+2
28=5^2+3
20=4^2+4
then next no is
3^2+5=14
ANSWER:A
Answer: (A) 14
Question: n people were sitting on a circular manner , if each of two present in the party except the pairs were adjacent sang a song , if a song lasted for 2 mins and 28 minutes was taken for singing song , find n
(A) 11
(B) 12
(C) 13
(D) 14
(E) 15
Rationale: each of 2 present in the party =>no. of pairs possible=nc2
possible adjacent pairs=n
total required combinations=nc2-n
time taken by each combination to sing a song=2 min
total time taken=2(nc2-n)=28
on solving the above equation, we get n=14
ANSWER:D
Answer: (D) 14
Question: At a conference table, 4 employees gather around a table. One of the employees is the manager and he sits at the head of the table. Two of the employees sit on either side of the table. How many different seating arrangements can be made with these 4 employees?
(A) 12
(B) 10
(C) 14
(D) 8
(E) 6
Rationale: Head's sit is fixed. Now 3 people is left with 3 seats.
3 people can sit on 3 seats in 3! ways or 6 ways.
Ans is E
Answer: (E) 6
Question: Three boys are ages 4, 6 and 7 respectively. Three girls are ages 5, 8 and 9, respectively. If two of the boys and two of the girls are randomly selected and the sum of the selected children's ages is e, what is the difference between the probability that e is even and the probability that e is odd?
(A)  1/9
(B)  1/6
(C)  2/9
(D)  1/4
(E)  1/2
Rationale: Age of Boys e:4, 6, 7
Sum of ages taken 2 at a time: 10,13,11
Ages of Girls:5, 8, 9
Sum of ages taken 2 at a time: 13,17,14
9 Combinations of sum between sets(10,12,11)(13,17,14)
=23,27,24- 16,30,17- 24,28,25
Prob(Even)= 5/9
Prob(Odd) =4/9
Answer=5/9 - 4/9 = 1/9
Answer: (A)  1/9
Question: Set A is {1, 3, 5, 7, 9}
Set B is {10, 12, 14, 16, 18}
For the sets of numbers above, which of the following is true?
I. The mean of Set B is greater than the mean of Set A.
II. The median of Set B is greater than the median of Set A.
III. The standard deviation of Set B is greater than the standard deviation of Set A.
(A) I only
(B) I and II only
(C) I and III only
(D) II and III only
(E) I, II, and III
Rationale: The mean and median of Set A is 5.
The mean and median of Set B is 14.
Thus statements I and II are both true.
The standard deviation is related to the distance from the mean.
Since the elements of both sets are spaced identically around the mean (+/- 2, +/- 4), the standard deviations of both sets are equal.
The answer is B.
Answer: (B) I and II only