mathewhe/aqua_rat huggingface dataset:
Question: The population of a town is 10000. It increases annually at the rate of 30% p.a. What will be its population after 2 years?
(A) 14000
(B) 14400
(C) 14500
(D) 14600
(E) 16900
Rationale: Formula :
10000 × 130/100 × 130/100 = 16900
Answer : E
Answer: (E) 16900
Question: John has $2500 in his bank account that earns 10% interest every year. How much will be in John's bank account after one year?
(A) $2600
(B) $3000
(C) $2250
(D) $2750
(E) $3500
Rationale: Final number = Initial number + 20%(original number) = 2500 + 10%(2500) = 2500 + 250 = 2750.
Answer D
Answer: (D) $2750
Question: Mary works in a restaurant a maximum of 45 hours. For the first 20 hours, she is paid $8 per hour. For each overtime hour, she is paid at a rate which is 25% higher than her regular rate. How much Mary can earn in a week?
(A) 300
(B) 420
(C) 410
(D) 320
(E) 400
Rationale: Mary receives $8(20)=$160 for the first 20 hours.
For the 25 overtime hours, she receives $8(0.25) +$8 = $10 per hour, that is $10(25)=$250.
The total amount is $160+$250 = $410
Answer C 410.
Answer: (C) 410
Question: What is the probability W of randomly selecting an arrangement of the letters of the wordMEDITERRANEANin which the first letter is E and the last letter is R?
(A) 1/13
(B) 1/20
(C) 1/26
(D) 1/50
(E) 1/100
Rationale: Why do you calculate the total combinations and everything, it is much easier to calculate as follows:
3/13 * 1 * 1 * 1 * 1 ..... * 2/12 = 6/156 = 1/26
This is because 3/13 = Probability that first letter will be E and 2/12 = probability that thefirstletter will be R. Between everything else cuts down to 1*1*1... e.g. probability W of the second letter is 11/11 = 1, > we do not care what's in between.C
Answer: (C) 1/26
Question: A sum of Rs 12,500 amounts to Rs. 15,500 in the 4 years at the rate of simple interest. Find the rate percent
(A) 6 %
(B) 7 %
(C) 8 %
(D) 9 %
(E) 10 %
Rationale: Explanation:
S.I.=P∗R∗T/100=>R=S.I.∗100/P∗T
So, S.I = 15500 - 12500 = 3000.
=>R=3000∗100/12500∗4=6%
Option A
Answer: (A) 6 %
Question: Chlorination is used in industry for the purification of water; 1gm solution of chlorine will remove half of the germs in 1 liter of water. If water containing less than 0.09% of germs is considered clean, what is the minimum amount of chlorine required to purify 150 liter of water containing 0.3 liter of harmful substances?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Rationale: Assuming that it's SUPPOSED to state "0.3" liters of harmful substances, here's how you can answer this question.
First, we have to figure out what .09% of 150 liters is...
1% = .01
.1% = .001
.09% = .0009
So, .0009(150) = .135 liters
We need enough doses of chlorine to get the 0.3 liters down to LESS than .135 liters. Each "dose" of chlorine will remove HALF of the harmful substances...
Start = 0.3 liters
After 1st dose = .15 liters
After 2nd dose = .075 liters
We're now below the .135 liters that we need to be less than.
Final Answer:B
Answer: (B) 2
Question: A luxury liner, Queen Marry II, is transporting several cats as well as the crew (sailors, a cook, and one-legged captain) to a nearby port. Altogether, these passengers have 14 heads and 41 legs. How many cats does the ship host?
(A) 5
(B) 6
(C) 7
(D) 8
(E) 9
Rationale: sa's +co +ca +cats = 14. sa's + 1 +1 +cats =14 or sa's +cats =12.
sa's(2) +2 +1 +cats*4 =41 sa's*2 +cats*4 = 38 or sa's +cats*2 =19 or 12-cats +cat*2 =19
then cats =7
C
Answer: (C) 7
Question: Two pipes A and B can fill a tank in 4 and 5 hours respectively. If they are turned up alternately for one hour each, the time taken to fill the tank is?
(A) 4 hrs 54 min
(B) 4 hrs 24 min
(C) 4 hrs 14 min
(D) 4 hrs 34 min
(E) 4 hrs 04 min
Rationale: 1/4 + 1/5 = 9/20
20/9 = 2 2/9
9/20 * 2 = 9/10 ---- 4 hours
WR = 1 - 9/10 = 1/10
1 h ---- 1/4
? ----- 1/10
2/5 * 60 = 24 = 4 hrs 24 min
Answer:B
Answer: (B) 4 hrs 24 min
Question: What is the lowest possible common multiple of 2 distinct integers, each greater than 140?
(A) 141
(B) 142
(C) 282
(D) 141*141
(E) 141*142
Rationale: The least common multiple of two numbers greater than 140 is 2(141) = 282, where the two distinct integers are 141 and 282.
The answer is C.
Answer: (C) 282
Question: if i earn a profit 50$ in a day and I have 9 employees . After keeping 10 percent profit for me, and distribute remianing money equally among my employees then how much each employee would get?
(A) $3
(B) $7
(C) $1
(D) $5
(E) $9
Rationale: Since I earned $50 sp 10 percent would be 5$ and 45$ would remain. Dividing 45 by 9, each employee would get 5$ each and hince option D is correct.
Answer: (D) $5
Question: A box contains six bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.
(A) 125/167
(B) 14/15
(C) 125/126
(D) 125/186
(E) 125/128
Rationale: Required probability
= 1 - 1/15
= 14/15
Answer: B
Answer: (B) 14/15
Question: One day a car rental agency rented 3/4 of its cars, including 3/5 of its cars with CD players. If 3/5 of its cars have CD players, what percent of the cars that were not rented had CD players?
(A) 29/30
(B) 24/25
(C) 19/20
(D) 14/15
(E) 9/10
Rationale: The cars with CD players which were not rented is (2/5)(3/5) = 6/25 of all the cars.
The cars which were not rented is 1/4 of all the cars.
The percent of non-rented cars which had CD players is (6/25) / (1/4) = 24/25
The answer is B.
Answer: (B) 24/25
Question: In a certain sequence, the first term is 3, 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) 21/13
(C) 8/5
(D) 5/8
(E) 18/11
Rationale: let five terms in the sequence be a,b,c,d,e
a=3
b= 1+1/3=4/3
c=1+3/4= 7/4
d= 1+4/7 = 11/7
e= 1+7/11 = 18/11
hence answer should be E.
Answer: (E) 18/11
Question: A sock drawer contains 6 socks, each one a different solid color. The colors of the socks are red, orange, yellow, green, indigo, and violet. If a person reaches into the drawer and pulls out two socks, how many different color combinations are possible in the selected pair of socks?
(A) 12
(B) 15
(C) 21
(D) 36
(E) 42
Rationale: Since the order in which we select the socks does not matter, we can use combinations.
We can select 2 socks from 6 socks in 6C2 ways.
6C2 = 15
Answer : B
Answer: (B) 15
Question: Mrs. Napier has 23 stickers to give to 9 students for a reward. How many
stickers will each student get? Will there be any stickers left over?
(A) 2-5
(B) 2-4
(C) 2-6
(D) 2-3
(E) 2-8
Rationale: 23/9 = 2 R 5 Mrs. Napier will give each student 2 stickers and there
will be 5 left over.
correct answer A
Answer: (A) 2-5
Question: A rectangular garden is 12m by 5m, what is its area?
(A) 12 square meters
(B) 5 square meters
(C) 44 square meters
(D) 60 square meters
(E) 22 square meters
Rationale: Area of a Rectangle: A = w × h
D) 60 square meters
Answer: (D) 60 square meters
Question: How many ways are there to award a gold, silver and bronze medal to 11 contending teams?
(A) 11 x 10 × 9
(B) 10!/(3!7!)
(C) 10!/3!
(D) 360
(E) 300
Rationale: we clearly know that there can be only one winning team which deserves the gold medal. we can do the selection in 11 ways
if gold medal is given to 1 of the teams then only possible 10 teams can be considered for silver medal. we can do selection in 10 ways
similarly if gold and silver medals are awarded then only remaining 9 teams can be considered for a bronze medal. we can do the selection in 9 ways
Total number of ways to select the 3 possible medal winners = 11*10 * 9
Correct answer - A
Answer: (A) 11 x 10 × 9
Question: If the true discount on s sum due 2 years hence at 14% per annum be Rs. 140, the sum due is:
(A) s. 768
(B) s. 640
(C) s. 1960
(D) s. 2400
(E) s. 2800
Rationale: td=pw*r*t/100 so 140=pw*14*2/100 so pw=500
sum=pw+td..
sum=500+140=640
ANSWER:B
Answer: (B) s. 640
Question: Souju's age is 131% of what it was 10 years ago, but 80 2/3% of what it will be after 10 years. What is her present age?
(A) 46 years
(B) 27 years
(C) 36 years
(D) 42 years
(E) 54 years
Rationale: Let the age before 10 years =x. Then,
131x/100=x+10
â‡’131x=100x+1000
â‡’x=1000/31=32
Present age =x+10=32+10=42
ANSWER:D
Answer: (D) 42 years
Question: By selling 175 apples, a shopkeeper gains the price of 25 apples. His gain per cent is
(A) 18.66%
(B) 17.66%
(C) 16.66%
(D) 15.66%
(E) 14.66%
Rationale: Suppose S.P of 175 apples = Rs 175
Therefore, Gain = Rs 25 => C.P = Rs 150
Gain % = 25/150 x 100 = 16.66%
Gain = 16.66%
ANSWER:C
Answer: (C) 16.66%
Question: Exactly 5% of the reporters for a certain wire service cover local politics in Country X. If 30% of the reporters who cover politics for the wire service do not cover local politics in Country X, what percent of the reporters for the wire service do not cover politics?
(A)  20%
(B)  42%
(C)  44%
(D)  92%
(E)  90%
Rationale: You are correct. People who cover local politics are a subset of people who cover politics.
30% of reporters who cover politics do not cover local politics so 70% DO cover local politics.
Reporters covering local politics= 70% of reporters covering politics= 5% of all reporters
Reporters covering politics/All Reporters = 5/70 = 1/14
Reporters not covering politics/All Reporters = 13/14 = 92%=D
Answer: (D)  92%
Question: If k is an integer and 2 < k < 7, for how many different values of k is there a triangle with sides of lengths 3, 6, and k?
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
Rationale: (6-3) < k < (6+3)
3 < k < 9
Thus k = 4, 5, 6, 7, 8
Since 2 < k < 7, then k can be 4, 5, or 6.
The answer is D.
Answer: (D) 3
Question: Worker A takes 8 hours to do a job. Worker B takes 10 hours to do the same job. How long it take both A & B, working together but independently, to do the same job?
(A) 40 days
(B) 40/9 days
(C) 39/9 days
(D) 30/9 days
(E) 60/9 days
Rationale: B
40/9 days
A's one hour work = 1/8.
B's one hour work = 1/10.
(A+B)'s one hour work = 1/8+1/10 = 9/40.
Both A & B can finish the work in 40/9 days
Answer: (B) 40/9 days
Question: A grocer has a sale of Rs. 4435, Rs. 4927, Rs. 4855, Rs. 5230 and Rs. 4562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 4500?
(A) s. 1991
(B) s. 2991
(C) s. 3991
(D) s. 4991
(E) s. 5991
Rationale: Explanation:
Total sale for 5 months = Rs. (4435 + 4927 + 4855 + 5230 + 4562) = Rs. 24009.
Required sale = Rs. [ (4500 x 6) â€“ 24009 ]
= Rs. (27000 â€“ 24009)
= Rs. 2991.
Answer B
Answer: (B) s. 2991
Question: A straight line in the xy-plane has a slope of 2 and a y-intercept of 2. On this line, what is the x-coordinate of the point whose y-coordinate is 480 ?
(A) 249
(B) 498
(C) 239
(D) 823
(E) 1,002
Rationale: slope of 2 and a y-intercept of 2
y-coordinate is 480
y = 2x + 2
478 = 2x
x = 239
Answer:
C. 239
Answer: (C) 239
Question: 3^4+3^4+3^4=?
(A) a) 3^3
(B) b) 3^4
(C) c) 3^5
(D) d) 3^6
(E) e) 3^15
Rationale: The correct answer is C 3^5
3^5 = 3^4+3^4+3^4
Answer: (C) c) 3^5
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 8 kmph, what is the time taken to row a distance of 60 km downstream?
(A) 30/16 hours
(B) 80/13 hours
(C) 30/73 hours
(D) 15/7 hours
(E) 50/13 hours
Rationale: Speed downstream = 20 + 8 = 28 kmph.
Time required to cover 60 km downstream
= d/s = 60/28
= 15/7 hours.
Answer:D
Answer: (D) 15/7 hours
Question: There are 25 Kids in a classroom. 12 Kids are wearing socks and 8 are wearing Shoes. 6 Kids are wearing both.
How many are Bare Feet ?
(A) 10
(B) 20
(C) 40
(D) 50
(E) 11
Rationale: 12 kids wear socks
8 kids wear shoes
6 wear both.
12 â€“ 6 = 6 (wear only socks)
8 â€“ 6 = 2 (wear only shoes)
6 (wear both)
hence, 25 -14 = 11
11 kids are with bare feet.
E
Answer: (E) 11
Question: A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is:
(A) 48 km/hr
(B) 54 km/hr
(C) 66 km/hr
(D) 82 km/hr
(E) 85 km/hr
Rationale: Explanation:
Let the speed of the second train be x km/hr.
Relative speed	= (x + 50) km/hr
=(x + 50) x 5/18 m/sec
=250 + 5x	/18 m/sec
Distance covered = (108 + 112) = 220 m.
220/ [(250+5x)	/18]=6
250 + 5x = 660
x = 82 km/hr.
ANSWER IS D
Answer: (D) 82 km/hr
Question: A trained covered x km at 30 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 3x km.
(A) 20kmph
(B) 22.5kmph
(C) 25kmph
(D) 30kmph
(E) 35kmph
Rationale: Total time taken = x/30 + 2x/20 hours
= 8x/60 = 2x/15 hours
Average speed = 3x/(2x/15)
= 22.5 kmph
Answer:B
Answer: (B) 22.5kmph
Question: If each side of a square is increased by 25%, find the percentage change in its area.
(A) 26.5%
(B) 36.25%
(C) 46.25%
(D) 56.25%
(E) 66.25%
Rationale: Let each side of the square be a. Then, area = a2.
New side =(125a/100) =(5a/4). New area = (5a/4) 2=(25a2)/16.
Increase in area = ((25 a2)/16)-a2=(9a2)/16.
Increase% = [((9a2)/16)*(1/a2)*100] % = 56.25%.
ANSWER D 56.25%
Answer: (D) 56.25%
Question: In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal?
(A) 20
(B) 30
(C) 40
(D) 50
(E) 60
Rationale: Here given 120 men = 200 children
therefore 1 child = 3/5 of Man------ step I
Now given that the food was consumed by 150 children
From step I we get 150 children =90 Men ( 1 child = 3/5 Man ie , 150 X 3/5 = 90)
So the food is for (120-90) men = 30 Men
ANSWER:B
Answer: (B) 30
Question: A rectangular circuit board is designed to have a width of W inches, a length of L inches, a perimeter of P inches, and an area of D square inches. Which of the following equations must be true?
(A) 2W^2 + PW + 2D = 0
(B) 2W^2 − PW − 2D = 0
(C) 2W^2 − PW + 2D = 0
(D) W^2 + PW + D = 0
(E) W^2 − PW + 2D = 0
Rationale: P = 2(L+W)-----------------1)
A= LW------------------------2)
option A is not possible why ?? because all the terms are positive.
lets try option B , put value of P and A from 1 and 2 we have,
2W^2-2(L+W)W + 2(LW)
2W^2 - 2LW - 2W^2 + 2LW=0.
hence answer is C.
Answer: (C) 2W^2 − PW + 2D = 0
Question: Rs.2500 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.140. How much was lent at 5%?
(A) 2888
(B) 2999
(C) 2799
(D) 1000
(E) 2881
Rationale: (x*5*1)/100 + [(2500 - x)*6*1]/100 = 140
X = 1000
Answer: D
Answer: (D) 1000
Question: When a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a rate of 0.7 meters per hour. Which of the following best approximates the radius of the tank in meters?
(A) √10/2
(B) √10
(C) 4
(D) 5
(E) 10
Rationale: V = pi(R^2)(H)
We have the Volume (22 cubic meters) and the Height (0.7 meters)...
22 = pi(R^2)(0.7)
pi = about 3.14
.7(pi) = about 2.2
22 = 2.2(R^2)
10 = R^2
\sqrt{10} = R
Final Answer:
B
Answer: (B) √10
Question: On a bright morning, Ashley and Cecilia decided to take out their old cars from the garage and check their speeds. Just to make things for interesting, they decided to race and find out whose car was fast. So they halted their car at the starting point and began with full throttle till the finish line.
When both the car crossed the finishing line, they realized that Ashley's car was 1.2 times faster than Cecelia. Also, Cecelia had reached the finishing line 1 minutes 30 seconds later than Ashley. Ashley's car had reached the finishing line at an average speed of 60 Km/h.
With all this data given, can you find out the total distance between the starting and the finishing lines?
(A) 6.5Km
(B) 8.5Km
(C) 7.4Km
(D) 7.5Km
(E) 7.7Km
Rationale: D
7.5Km
Explanation:
Denoting Ashley with A and Cecelia with C
Speed A = 60 km/hr = 1.2 x Speed C [km/hr] = 1 km/ min
Hence Speed C = 60/1.2 [km/hr] = 50 [km/hr] = 5/6 km/ min
Time C = D [km] /Speed C [km/min] = D/Speed C [min] = D/(5/6) min = 6D/5 min = 1.2 D min
Time A = D [km] /Speed A [km/min] = D/Speed A [min] = D/(1) min = D min
Since Time C � Time A = 1.5 min
Then (1.2 � 1)D min = 0.2D min = 1.5 min
Hence D = 1.5/0.2 km = 1.5*5 = 7.5 km
The total distance as calculated above is 7.5 Km.
Answer: (D) 7.5Km
Question: What is greatest positive integer n such that 2^n is a factor of 12^14?
(A) a)10
(B) b)12
(C) c)16
(D) d)20
(E) e)28
Rationale: The given number is 12^14
=(2*2*3)^14
=(2^28)*(3^14)
So the greatest possible value for n such that 2^n can be factor of given number is 28.
Answer E
Answer: (E) e)28
Question: On a certain plane, 2/5 of the passengers speak French and 3/4 speak Hebrew. If all of the passengers on the plane speak at least one of these languages, what is the smallest number of passengers that could be on the plane?
(A) 12
(B) 15
(C) 40
(D) 54
(E) 60
Rationale: Assume the total members = x
French = .4x
Hebrew = .75x
French + Hebrew = 1.15x, but this is not possible hence 15 people speak both languages.
Only French = .25x, Only Hebrew = .6x, both = .15x
Since these are all people, all of these should be whole numbers.
Checking the options:
A. 12. Only Hebrew = 12*0.6 = 7.2 We do not get the people as whole numbers. INCORRECT
B. 15. Only French = 0.25*15 Again we do not get the people as whole numbers. INCORRECT
C. 40 Only Farsi = .25*40 = 10, Only Hebrew = .6*40 = 24, both = .15*40 = 6. We have the people as whole numbers. CORRECT
D. 54
E. 60
Since we have to find the lowest number, no need to calculate for the rest of the options.
Correct Option: C
Answer: (C) 40
Question: If there are 6 seats and 3 students, in how many ways can they be seated?
(A) 120
(B) 124
(C) 128
(D) 132
(E) 136
Rationale: The first student has 6 choices, the second student has 5 choices, and the third student has 4 choices. The number of ways to sit is 6*5*4 = 120.
The answer is A.
Answer: (A) 120
Question: Can N and can В are both right circular cylinders. The radius of can N is twice the radius of can B, while the height of can N is half the height of can B. If it costs $4.00 to fill half of can B with a certain brand of gasoline, how much would it cost to completely fill can N with the same brand of gasoline?
(A)  $1
(B)  $2
(C)  $4
(D)  $8
(E)  $16
Rationale: Let x be the radius of b and 2h be the height of B. Therefore, radius of N = 2x and height = h
Vol of b = 3.14*x^2*2h
Vol of a = 3.14*4x^2*h
cost to fill half of B = $4 --> cost to fill full B = $8
--> 3.14*x^2*2h = 8 --> 3.14*x^2*h = 4 --> 4*(3.14*x^2*h) = $16
Ans E
Answer: (E)  $16
Question: If the wheel is 14 cm then the number of revolutions to cover a distance of 880 cm is?
(A) A)15
(B) B)10
(C) C)14
(D) D)12
(E) E)11
Rationale: 2 * 22/7 * 14 * x = 880 => x = 10
ANSWER:B
Answer: (B) B)10
Question: A desalination process is able to remove 2/3 of salt in each cycle. If we have 1 liter of sea water that has 5% salt (i.e. 5 g in a liter), how much salt would have been removed from the liter of water after 3 cycles of the desalination process?
(A) 4.15
(B) 4.21
(C) 4.52
(D) 4.81
(E) 4.93
Rationale: X is the initial quantity of salt in the water.
After a cycle of desalination the quantity of salt left would be X1=X-2/3X i.e. X1=1/3X
Same thing for X2, X3 respectively representing the quantity of salt left after 2, 3 cycles of desalination.
So we have:
X1=1/3 X
X2=1/3 X1
X3=1/3 X2
By multiplying both ends of the equations we get:
X1*X2*X3 = (1/3)^3 X*X1*X2
Simplification leaves us with:
X3 = (1/3)^3 X
X3 is the quantity of salt left after three cycles. So the cumulative quantity of salt (Q3) which has been removed after 3 cycles is: Q3= X-X3=X-(1/3)^3 X i.e. Q3 = X (1-(1/3)^3)
In this case, given X was: X=5 g
So we have Q3=5 * (1-1/27) = 5 * 26/27 = 4.814 g rounded Q3=4.81
Answer: D
Answer: (D) 4.81
Question: The expression pq+p is odd when the p and q are integers. Which of the following expressions must be even?
(A) p
(B) q
(C) p + q
(D) pq - p
(E) p + q^2
Rationale: pq+p is odd
p and q are integers
If p were even pq+p would be even despite any value of q.
q can't be odd, so q must be even.
Ans : B
Answer: (B) q
Question: What will be the ratio of simple interest earned by certain amount at the same rate of interest for 12 years and that for 28 years?
(A) 5 : 7
(B) 4 : 7
(C) 3 : 7
(D) Data inadequate
(E) None of these
Rationale: Let the principal be P and rate of interest be R%.
∴ Required Ratio = [(P×R×12/100) /(P×R×28/100)]=12PR/28PR=12/28=3:7
Answer C
Answer: (C) 3 : 7
Question: Two trains are moving in opposite directions with speed of 110 km/hr and 90 km/hr respectively. Their lengths are 1.10 km and 0.9 km respectively. the slower train cross the faster train in --- seconds
(A) 26
(B) 48
(C) 47
(D) 36
(E) 25
Rationale: Explanation:
Relative speed = 110+90 = 200 km/hr (Since both trains are moving in opposite directions)
Total distance = 1.1+.9 = 2km
Time = 2/200 hr = 1/100 hr = 3600/100 = 36 seconds
Answer: Option D
Answer: (D) 36
Question: There are 15 points in a given plane, no three of which are on the same line. If one of the points is represented as 'P, then how many triangles can be determined with the 15 points that contain the point P?
(A) 91
(B) 105
(C) 182
(D) 210
(E) 455
Rationale: Fist point is P which is fixed so can be selected in 1 way
Second point can be selected in 14 ways
Third point can be selected in 13 ways
so total ways = 1x14x13 = 182
but answer is 91 which is 182/2=C
Answer: (C) 182
Question: A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 42 years now, the son's age 5 years back was?
(A) 12yr
(B) 15yr
(C) 14yr
(D) 16yr
(E) 20yr
Rationale: Let the son's present age be x years
Then, 42-x = x
x = 21
Son's age 5 years back = 21-5 = 16years
Answer is D
Answer: (D) 16yr
Question: How many odd prime numbers are there less than 50?
(A) 15
(B) 1
(C) 2
(D) 14
(E) 17
Rationale: Odd prime number less than 50 :3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47
There is 14 the odd prime number
Answer is D
Answer: (D) 14
Question: The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 5 years hence?
(A) 100
(B) 80
(C) 70
(D) 20
(E) 40
Rationale: A + B = 60, A = 2B
2B + B = 60 => B = 20 then A = 40.
5 years, their ages will be 45 and 25.
Sum of their ages = 45 + 25 = 70.
answer is C.
Answer: (C) 70
Question: A person crosses a 600m long street in 4 minnutes. What is his speed in km per hour?
(A) 5.8km/hr
(B) 7.2km/hr
(C) 9km/hr
(D) 2.5km/hr
(E) 3km/hr
Rationale: Speed = 600/4*60 = 2.5m/sec
=2.5*18/5
=9km/hr
Answer is C
Answer: (C) 9km/hr
Question: P alone can complete a job in 7 days. The work done by Q alone in one day is equal to one-sixth of the work done by P alone in one day. In how many days can the work be completed if P and Q work together?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Rationale: P's rate is 1/7
Q's rate is 1/42
The combined rate is 1/7 + 1/42 = 1/6
If they work together, the job will take 6 days.
The answer is E.
Answer: (E) 6
Question: A man rows his boat 90 km downstream and 5` km upstream, taking 3 hours each time. Find the speed of the stream?
(A) 7 kmph
(B) 5 kmph
(C) 2 kmph
(D) 8 kmph
(E) 1 kmph
Rationale: Speed downstream = d/t = 90/(3) = 30 kmph
Speed upstream = d/t = 51/(3) = 17 kmph
The speed of the stream = (30 - 17)/2 = 7 kmph
Answer:A
Answer: (A) 7 kmph
Question: Two persons start running simultaneously around a circular track of length 200 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
(A) 11
(B) 10
(C) 18
(D) 27
(E) 12
Rationale: Time taken to meet for the first time anywhere on the track
= length of the track / relative speed
= 200 / (15 + 25)5/18 = 200* 18 / 40 * 5 = 18 seconds.
Answer: C
Answer: (C) 18