RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The difference between the simple interest received from two different sources on Rs.1700 for 3 years is Rs.13.50. The difference between their rates of interest is
A.0.16%
B.0.26%
C.0.36%
D.0.46%
Answer: B.0.26%
Explanation: (1700xR1x3)/100-(100xR2x3)/100 =13.50
5100(R1-R2)=1350
R1-R2 = 1350/5100=0.26%
answer : B
Question: Two vessels having volumes in the ratio 3:5 are filled with water and milk solutions. The ratio of milk and water in the two vessels are 1:2 and 3:2 respectively. If the contents of both the vessel are empties into a larger vessel, find the ratio of milk and water in the larger vessel.
A.99:61
B.1:1
C.61:160
D.61:99
Answer: B.1:1
Explanation: Vessel A = 300 gallons --> milk = 100, water = 200;
Vessel B = 500 gallons --> milk = 300, water = 200;
Vessel A + B = 800 gallons --> milk = 400, water 400.
The ratio = 400/400 --> 1:1
Answer: B
Question: The flowerman sale, all of the prices of the flowers sold were different. If the price of a radio sold at the flowerman sale was both the 17th highest price and the 42th lowest price among the prices of the slowers sold, how many flowers were sold at the flowerman sale?
A.38
B.34
C.58
D.63
Answer: C.58
Explanation: 16+41+1= 58
Answer: C
Question: The length of a rectangle is increased by 25% and its breadth is decreased by 15%. What is the effect on its area?
A.1288
B.1299
C.10625
D.10000
Answer: C.10625
Explanation: 100 * 100 = 10000
125 * 85 = 10625
Answer: C
Question: A person crosses a 1080 m long street in 12 minutes. What is his speed in km per hour?
A.4.1
B.4.5
C.4.8
D.5.4
Answer: D.5.4
Explanation: Speed = 1080/(12x60) m/sec
= 1.5 m/sec.
Converting m/sec to km/hr =1.5 x(18/5) km/hr
= 5.4 km/hr.
ANSWER :D
Question: A certain school implemented a reading program for its students, with the goal of getting each student to read 3 books per month year-round. If the school has c classes made up of s students in each class, how many books will the entire student body read in one year?
A.20cs
B.cs/2
C.36cs
D.(2cs)/12
Answer: C.36cs
Explanation: Ans: C
Solution: simple multiplication s students , c classes , 3 books/ month= 36 books a year
total number of books = 36cs
Question: the number of zeros at the end of product of prime numbers between 1 and 999999
A.1
B.2
C.3
D.4
Answer: A.1
Explanation: 1 zero at the end because multiplication of 2 and 5 leads to an answer which is a multiple of 10
ANSWER:A
Question: 7 girls earn equal to as many boys as are equal to 9 men. All of them earn Rs.105 only. Girl's earnings are?
A.6
B.5
C.2
D.7
Answer: B.5
Explanation: 7g=xb=9m
7g+xb+9m ----- 105Rs.
7g+7g+7g ----- 105 Rs.
21g ------ 105 Rs. => 1Mg= 5Rs.
Answer: B
Question: How many even multiples of 65 are there between 649 and 1301?
A.5
B.6
C.9
D.10
Answer: B.6
Explanation: 650 = 10*65
1300 = 20*65
The even multiples are 65 multiplied by 10, 12, 14, 16, 18, and 20 for a total of 6.
The answer is B.
Question: How many minutes does it take James to type 8 words if he types at the rate of 4 words per minute?
A.4
B.1
C.2
D.6
Answer: C.2
Explanation: time*rate=job --> time*4=8 --> time=8/4=2.
Answer: C.
Question: The sum of money at compound interest amounts to thrice itself in 3 years. In how many years will it be 9 times itself?
A.5
B.4
C.3
D.6
Answer: D.6
Explanation: 100 ---- 300 --- 3
900 --- 3
----
6 years
Answer: D
Question: In how many ways can you seat 7 people on a bench if one of them does not want to sit at either end?
A.3500
B.3600
C.3700
D.3800
Answer: B.3600
Explanation: One person can choose 5 possible chairs to sit. The remaining 6 people can sit in 6! ways.
The number of arrangements is 5*6! = 3600.
The answer is B.
Question: Nine persons went to a hotel for taking their meals. Eight of them spent 11 each on their meals and the ninth spend 8 more than the average expenditure of all the nine. What was the total money spent by them?
A.108
B.117
C.119
D.122
Answer: A.108
Explanation: Let the average expenditure of all the nine be x.
Then, 11 × 8 + (x + 8) = 9x or 8x = 96 or x = 12.
∴ Total money spent = 9x = (9 × 12) = 108.
Answer A
Question: Two trains of length 120 meter and 150 meter crosses a stationary man in 10 and 15 seconds respectively. In what time they will cross each other when they are moving in same direction.
A.120 sec
B.125 sec
C.135 sec
D.140 sec
Answer: C.135 sec
Explanation: Explanation :
120 = a*10, a = 12 m/sec (speed of first train)
150 = b*15, b = 10 m/sec (speed of second train)
270 = (2)*T, T = 135 seconds
Answer – C
Question: In an election between two candidates first candidate got 60% of votes polled and second Candidate got 280 votes. The total number of votes polled was?
A.700 votes
B.900 votes
C.1000 votes
D.1100 votes
Answer: A.700 votes
Explanation: Total = 100 %,
First person got 60%
second person got remaining 40 % of votes.
than 40 % = 280
40% = 40×7 = 280
100% =100×7 =700 votes
A)
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
A.30/18 hours
B.37/13 hours
C.80/13 hours
D.30/13 hours
Answer: D.30/13 hours
Explanation: Speed downstream = 20 + 6 = 26 kmph.
Time required to cover 60 km downstream
= d/s = 60/26
= 30/13 hours.
Answer: D
Question: Find the odd man out. 6, 13, 18, 25, 30, 37, 40
A.40
B.30
C.37
D.25
Answer: A.40
Explanation: Explanation :
The difference between two successive terms from the beginning are 7, 5, 7, 5, 7, 5
Hence, in place of 40, right number is 37+5=42
Answer : Option A
Question: A gardener grows cabbages in her garden that is in the shape of a square. Each cabbage takes 1 square feet of area in her garden. This year, she has increased her output by 191 cabbages as compared to last year. The shape of the area used for growing the cabbages has remained a square in both these years. How many cabbages did she produce this year?
A.7,251
B.8406
C.9216
D.10,348
Answer: C.9216
Explanation: Let the side for growing cabbages this year be X ft. Thus the area is X^2.
Let the side for growing cabbages last year be Y ft. Thus, the area was Y^2.
The area would have increased by 191 sq ft as each cabbage takes 1 sq ft space.
X^2 - Y^2 = 191
(X + Y)(X - Y) = 191
191 is a prime number and thus it will be (96+95)*(96-95).
Thus X = 96 and Y = 95
X^2 = 96^2 = 9216
The answer is C.
Question: If x = 3z, where z is a prime number greater than 2, how many different positive even divisors does x have, including x?
A.0
B.1
C.2
D.3
Answer: A.0
Explanation: z is prime greater than 2 thus z is odd
3z is odd
Thus no even factors
Ans:A
Question: If the ratio of the roots of the equation x2 – 2ax + b = 0 is equal to that of the roots x2 – 2cx + d = 0, then:
A.a2b = c2d
B.a2c = b2d
C.a2d = c2b
D.d2 b = c2 a
Answer: C.a2d = c2b
Explanation: x^2-2ax+b=0 for this eqn..roots r....R1=2a/1,R2=b/1;
x^2-2cx+d=0 for this eqn ..roots r...R3=2c/1,R4=d;
As per question ,2a/b=2c/d
=>2ad=2bc
ANSWER:C
Question: Which of the following CAN be the least common multiple of two positive integers 5 and 25?
A.5
B.10
C.15
D.25
Answer: D.25
Explanation: LCM of 5, 25 is 25
Answer : D
Question: Aqua regia is a mixture containing 50 per cent concentrated HCL and 70 per cent concentrated HNo3 in the ratio 1 : 3 respectively. Aqua regia is to be formed with 15 l of HCl of 80 percent concentration and 56 l of HNO3 of 90 per cent concentration by adding water as a diluting agent. Another mixture ’X’ having 40 percent concentrated HCL and 30 percent concentrated H2SO4 in the ratio 5 : 7 respectively is added to the Aqua regia to form a solution of 111 l. Find the ratio of HCL to water in the solution. Only water is used as a diluting agent
A.3 : 8
B.4 : 7
C.1 : 3
D.2 : 5
Answer: C.1 : 3
Explanation: 80 % concentrated HCL is to be diluted to form a 50% concentrated HCL solution.
The quantity of water to be added to the l5 l solution is i.e 5:3
Thus, (3/5) X 15 = 9
9 litres of water is added to HCL solution Similarly 16 l of water is added to 90%
concentrated solution of HNO3 to dilute it to 70% concentration.
The total quantity of HCL and HNO3 solutions are 24 l and 72 l respectively and that of the
aqua regia formed is 96 I and that of water in it is 33.6 l
The quantity of mixture ’X’ is 11 I - 96 = 15.
In the mixture X, the quantity of HCL is [(5/12) X 0.6 + (7/12) X 0.7] X 15=(0.25 + 0.41) X 15 = 9.91.
The required ratio is (12 + 2.5)/(33.6 + 9.9) = 14.5/43.5 = 1/3
ANSWER:C
Question: JOHN and ANDREW can finish John work 30 days if they work together. They worked together for 20 days and then ANDREW left. JOHN finished the remaining work in another 20 days. In how many days JOHN alone can finish the work?
A.30 days
B.60 days
C.70 days
D.80 days
Answer: B.60 days
Explanation: Amount of work done by JOHN and ANDREW in 1 day = 1/30
Amount of work done by JOHN and ANDREW in 20 days = 20 × (1/30) = 20/30 = 2/3
Remaining work – 1 – 2/3 = 1/3
JOHN completes 1/3 work in 20 days
Amount of work JOHN can do in 1 day = (1/3)/20 = 1/60
=> JOHN can complete the work in 60 days
B
Question: What is the remainder when 1271 * 1275 * 1279 *1285 is divided by 12?
A. 0
B. 1
C. 11
D. 3
Answer: D. 3
Explanation: 1271*1275*1277*1285 = (1272 - 1)(1272 + 3)(1284 - 5)(1284 + 1) = (multiple of 12 - 1)(multiple of 12 + 3)(multiple of 12 - 7)(multiple of 12 + 1)
Now, if we expand this expression all terms but the last one will have a multiple of 12 in them, thus will leave no remainder upon division by 12, the last term will be (-1)(3)(-5)(1) = 15. Thus the question becomes: what is the remainder upon division of 15 by 12? The answer to this question is 3
Answer: D.
Question: Under whose chairmanship did RBI constitute a Working Group for making balance of payments manual?
A.Anand Sinha
B.Harun Rashid Khan
C.Kamalesh Chandra Chakrabarty
D.Deepak Mohanty
Answer: D.Deepak Mohanty
Explanation: Explanation:
Deepak Mohanty is the highest ranked economist in Reserve Bank of India.
ANSWER: D
Question: Jim and Cara begin running at the same time and they start at the same place on a straight path. Jim runs at 6 miles per hour, and Cara runs at 5 miles per hour. After 30 minutes, Jim stops to stretch. If it takes Jim 18 minutes to stretch and Cara continues to run during this time, how many minutes will it take Jim to catch up to Cara?
A.40
B.50
C.60
D.70
Answer: C.60
Explanation: In 30 minutes, Jim runs 3 miles.
In 48 minutes, Cara runs 4 miles.
Jim can catch Cara at a rate of 1 mile per hour.
Since Cara is ahead by 1 mile, it will take Jim 1 hour = 60 minutes to catch Cara.
the answer is C.
Question: John bought a 1-year, $20,000 certificate of deposit that paid interest at an annual rate of 10 percent compounded semiannually. What was the total amount of interest paid on this certificate at maturity?
A.$2150
B.$2050
C.$2250
D.$2350
Answer: B.$2050
Explanation: 10 percent compounded semiannually --> 5% in 6 moths.
For the first 6 moths interest was 5% of $20,000, so $1000;
For the next 6 moths interest was 5% of $21,000, so $1050
Total interest for 1 year was $1000+$1050=$2050
Answer : B
Question: If a survey shows that 30 citizens out of a sample of 300 support a particular Senate bill, what percent of the sample does not support the bill?
A. 90%
B. 64%
C. 72%
D. 82%
Answer: A. 90%
Explanation: 30 out of 300 supports the bill and we are asked to find the percent who the does not support the bill.
30 out of 300 supports the bill = 10 out of 100 supports the bill ( taking in % terms )
14 out of 100 supports the bill = 10 (100-10) doesn't support the bill
So, answer is (A) 90%
Question: Albert and Bob are painting rooms at constant, but different rates. Albert takes 1 hour longer than Bob to paint n rooms. Working side by side, they can paint a total of 3n/5 rooms in 4/5 hours. How many hours would it take Albert to paint 3n rooms by himself?
A.7
B.9
C.11
D.25
Answer: D.25
Explanation: rate of bob to paint n rooms is n/T(bob)
rate of Albert to paint n rooms is n/T(albert).
albert paints the room 1 hour slower than bob, so T (albert) = T(bob) -1
Together they paint the 3n/5 rooms in 4/3 hours. Rate is equal to work over time
Therefore
n/x + n/x-1 = (3n/5)/(4/3) =
n/x + n/x-1 = 9n/20. Fastest way for me is to think how would make the denominator 20. 4*5 = 20 and it fits x and x-1 or you can solve the quadratic
4n/20 + 5n/20 = 9n/20. Therefore you know it takes Albert 5 hours to paint n room, since Albert's rate is n/5.
5*5 = 3n
25 = 3n.
Answer is D
Question: The majority owner of a business received 25% of the profit, with each of 4 partners receiving 25% of the remaining profit. If the majority owner and two of the owners combined to receive $39,375, how much profit did the business make?
A.$54,000
B.$57,000
C.$60,000
D.$63,000
Answer: D.$63,000
Explanation: Let P be the total profit.
P/4 + 1/2*(3P/4) = P/4 + 3P/8 = 5P/8 = $39,375
P = $63,000
The answer is D.
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. What is the total distance traveled by the man?
A.5.99 km
B.5.88 km
C.5.76 km
D.5.83 km
Answer: C.5.76 km
Explanation: M = 6
S = 1.2
DS = 7.2
US = 4.8
x/7.2 + x/4.8 = 1
x = 2.88
D = 2.88 * 2 = 5.76
Answer:C
Question: Last year the price per share of Stock Y increased by m percent and the earnings per share of Stock Y increased by n percent, where m is greater than n. By what percent did the ratio of price per share to earnings per share increase, in terms of m and n?
A.100 (m-n)%
B.100*(m-n)/(100+n) %
C.m/n%
D.100 (m+n)%
Answer: B.100*(m-n)/(100+n) %
Explanation: Let P = the old price per share; E = the old earning per share. Thus P/E is the price to earning ratio before the increases
After the increase the new price is: P*(1+m/100) and the new earning is: E*(1 + n/100)
The new P/E is: (1+m/100)P/(1+n/100)E
The Percent of P/E increase = (new P/E - P/E)/(P/E). Subsititute new P/E to the equation we have:
[(1+m/100)/(1+n/100)*P/E - P/E]/(P/E)*100%. Simplifly the expression and you should get the answer to be:
100*(m-n)/(100+n) %
Answer : B
Question: In Net's hair salon 45% of the customers dye their hair blond, 36% dye their eyebrows blond and 35% straighten their hair. 20% of the customers have none of these three procedures, while 12% take all of these three procedures. What percent of the customers come for exactly 2 of these 3 procedures?
A.5%
B.9%
C.12%
D.15%
Answer: C.12%
Explanation: Let a total of 100 people visit the salon.
Total = 100
Dye hair blonde (A) = 45 % = 45
Dye Eyebrows blonde (B) = 36% = 36
Straighten Hair (C) = 35% = 35
Neither = 20% = 20
All Three = 12% =12
Total = A+B+C - (Sum of Exactly Two group overlaps) - 2*(All three) + Neither
100 = 45+36+35 - (Sum of Exactly Two group overlaps) - 2*12 + 20
(Sum of Exactly Two group overlaps) = 9
%of customers coming for exactly 2 of the 3 procedures = 12%
C
Question: If an item that originally sold for t dollars was marked up by r percent and then discounted by s percent, which of the following expressions represents the final price of the item?
A.(10,000t + 100t(r – s) – rst)/10,000
B.(10,000t + 100t(s – r) – rst)/10,000
C.(100t(r – s) – rst)/10000
D.(100t(s – r) – rst)/10000
Answer: A.(10,000t + 100t(r – s) – rst)/10,000
Explanation: Assume t=100, r=10, s=10. So final price is 99. Now put these value each option. Only option A will give right answer.
Question: The present worth of a certain sum due sometime hence is Rs. 1600 and the true discount is Rs. 160. Then banker’s gain is:
A.16
B.18
C.20
D.21
Answer: A.16
Explanation: Sol.
B.G. = (T.D.)² / P.W. = Rs.[160 * 160 / 1600] = Rs. 16.
Answer A
Question: Look at this series: 53, 53, 46, 46, 39, 39, ... What number should come next?
A.A)12
B.B)14
C.C)27
D.D)32
Answer: D.D)32
Explanation: In this series, each number is repeated, then 7 is subtracted to arrive at the next number.
Answer: D
Question: Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 47 years. What will be the age of the B ten years hence?
A.94
B.23
C.28
D.96
Answer: A.94
Explanation: Let the present ages of A, B and C be a, b and c respectively.
Given, [(a - 5) + (b - 5)] / 2 = 40 => a + b = 90 --- (1)
(b + c)/2 = 47 => b + c = 94 --- (2)
Answer: A
Question: In a certain sequence, the first term is 7, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term in this sequence?
A.13/8
B.39/24
C.8/5
D.5/8
Answer: B.39/24
Explanation: let five terms in the sequence be a,b,c,d,e
a=7
b= 1+1/7=8/7
c=1+7/8= 15/8
d= 1+8/15 = 24/15
e= 1+15/24 = 39/24
hence answer should be B.
Question: A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?
A.78
B.77
C.76
D.79.2
Answer: D.79.2
Explanation: Let the length of the train be x m and its speed be y m/sec.
Then, x/y = 8 => x = 8y
(x + 264)/20 = y
y = 22
Speed = 22 m/sec = 22 * 18/5 = 79.2 km/hr.
Answer: Option D
Question: A certain scholarship committee awarded scholarships in the amounts of $1250, $2500 and $4000. The Committee awarded twice as many $2500 scholarships as $4000 and it awarded three times as many $1250 scholarships as $2500 scholarships. If the total of $67500 was awarded in $1250 scholarships, how many $4000 scholarships were awarded?
A.5
B.6
C.9
D.10
Answer: C.9
Explanation: Since the starting point is given as the $4000 scholarship,
Assume $4000 scholarships to be x
By the given information, $2500 scholarships = 2x
and $1250 scholarships = 6x
Gievn: Total $1250 scholarships = $67500
6x*1250 = 67500
Solve for x = 9
Option C
Question: A person want to give his money of $2700 to his 3 children A,B,C in the ratio 2:3:4. What is the B's share?
A.$200
B.$900
C.$700
D.$600
Answer: B.$900
Explanation: B's share = 2700*3/9 = $900
Answer is B
Question: An officers identification code consists of a vowel followed by a 3-digit number greater than 200. Exactly 2 of the 3 digits in the code should be identical. How many different codes is it possible to form?
A.211
B.216
C.1075
D.1080
Answer: C.1075
Explanation: An officers identification code will be of the type -,-,-,-
first digit can be selected from any of the 5 vowels in 5C1 ways
now for the remaining three digit lets consider the following two cases
case 1: when the number is greater than 200 but less than 300
number will be of the type 2,_,_. now suppose repeating number is same as first digit number i.e. 2. and the third number is one of the remaining 9 numbers (we are rejecting 2 here, because it will result in 222, which is not acceptable as per the given condition). thus these two number can arrange themselves in two blank spaces in 2! ways. hence total number of numbers in which repeating digit is same as the first digit = 1.9.2! =18
now, suppose that repeating number is different than first digit. thus possible case in this case are 8 as listed below:
211
233
244
255
266
277
288
299
here again we have rejected 200( because number must be greater than 200) and 222 ( exactly two repeating digits are allowed)
thus total possible cases are 18 + 8 =26
case 2: number ranging from 300 to 999
here for first digit we have 7 cases (3,4,5,6,7,8,9)
now if the repeating number is same as the first number then we will have 18 cases ( same reasoning as mentioned in the previous case)
if the repeating number is different than first digit number then we will have 9 cases ( because here number ending with two zeros are allowed)
hence total number of ways = 7(18+9) = 189
thus different number of codes = 5(189+26) = 1075
hence C
Question: In a bag there are 10 black balls and 25 blue balls and 15 white balls. A ball is drawn at random. What is the probability of getting a white or a black ball?
A.3/2
B.1
C.1/2
D.5/2
Answer: C.1/2
Explanation: total draws =10+25+15=50
probability of getting a white ball = 15/50 . probability of getting a black ball=10/50. probability of getting a white or black ball=15/50+10/50=25/50=1/2. Correct Answer : C
Question: Find: S.l. on Rs 6250 at 14% per annum for 146 days.
A.Rs.350
B.Rs.450
C.Rs.550
D.Rs.650
Answer: A.Rs.350
Explanation: Explanation:
P = Rs. 6250, R = 14 % & T = (146/365) years = 2/5 years .
S.I=(6250 *14 * 2/5)/100=Rs.350
ANSWER IS A
Question: Of the 600 residents of Clermontville, 35% watch the television show Island Survival, 40% watch Lovelost Lawyers and 50% watch Medical Emergency. If all residents watch at least one of these three shows and 18% watch exactly 2 of these shows, then how many Clermontville residents B watch all of the shows?
A. 150
B. 108
C. 42
D. 21
Answer: D. 21
Explanation: OA is D.
100= A+B+C-AB-AC-BC+ABC, which is the same as the following formula
100= A+B+C+(-AB-AC-BC+ABC+ABC+ABC)-2ABC.
The term between parantheses value 18% so the equation to resolve is
100=35+40+50-18-2ABC
therefore the value of ABC is 3.5% of 600,B is 21. D is the correct answer
Question: The difference between simple interest and compound interest on Rs. 1200 for one year at 10% per annum reckoned half yearly is
A.2
B.7
C.3
D.0
Answer: B.7
Explanation: Explanation:
S.I
= Rs.(1200x10x1/100)
= Rs.120.
C.I
= Rs[(1200x1+5/100)² -1200]
= Rs.123.
Difference
= Rs.[123-120]
= Rs. 3.
Answer: B
Question: Find the value of 2.5 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)]
A.2000
B.500
C.900
D.1600
Answer: A.2000
Explanation: Answer
2.5 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)]
= 2.5 x [(36 x 48 x 250) / (12 x 9 x 5)]
= 2.5 x 4 x 4 x 50 = 2000
Correct Option: A
Question: A women purchased 3 towels @ Rs.100 each, 5 towels @ Rs.150 each and two towels at a certain rate which is now slipped off from his memory. But she remembers that the average price of the towels was Rs.145. Find the unknown rate of two towels?
A.A)400
B.B)450
C.C)500
D.D)550
Answer: A.A)400
Explanation: 10 * 145 = 1450
3 * 100 + 5 * 150 = 1050
1450 – 1050 = 400
A
Question: Calculate 85184 ÷ ? = 352
A.241
B.242
C.244
D.247
Answer: B.242
Explanation: Answer
Let 85184 ÷ X = 242
Then X = 85184/242 = 352.
Option: B
Question: A train 900 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
A.200 m
B.379 m
C.400 m
D.589 m
Answer: C.400 m
Explanation: Speed = 78 * 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of the train be x meters.
Then, (900 + x)/60 = 65/3
x = 400 m.
Answer: C
Question: The sum of the present ages of father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be?
A.27 years
B.28 years
C.29 years
D.20 years
Answer: D.20 years
Explanation: Let the present ages of son and father be x and (60 - x) years respectively.
Then, (60 - x) - 6 = 5(x - 6)
6x = 84 => x = 14
Son's age after 6 years = (x + 6)
= 20 years.
Answer:D
Question: Bert and Rebecca were looking at the price of a condominium. The price of the condominium was 80% more than Bert had in savings, and separately, the same price was also 20% more than Rebecca had in savings. What is the ratio of what Bert has in savings to what Rebecca has in savings.
A.1:4
B.4:1
C.2:3
D.3:2
Answer: C.2:3
Explanation: Suppose bert had 100 so price becomes 180 , this 180 = 1.2 times R's saving .. so R's saving becomes 150
So required ratio is 100:150=2:3
ANSWER:C
Question: Of 70 players on a football team, 43 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total?
A.54
B.59
C.61
D.71
Answer: C.61
Explanation: Total = 70
Thrower = 43
Rest = 70 - 43 = 27
Left Handed = 27/3 = 9
Right handed = 18
If all Thrower are right handed then total right handed is 43 + 18 = 61
so C. 61 is the right answer
Question: A man sold 20 articles for $60 and gained 20%. How many articles should he sell for $90 to incur a loss 10%?
A.45
B.41.2
C.40
D.50
Answer: B.41.2
Explanation: Production cost per article: $60*(100%-20%) / 20 = $2.40
Required production costs for a loss of 20%: $90*(100% + 10%) = $99
Number of articles to be sold for $108 to incur a 20% loss: $99 / $2.40 = 41.2
Thus, solution B is correct.