mathewhe/aqua_rat huggingface dataset:
Question: Which of the following is satisfied with |x-4|+|x-3|<3?
(A) 1<x<5
(B) 2<x<5
(C) 4/3<x<10/3
(D) 4/3<x<4
(E) 3<x<4
Rationale: --> If there is addition when there are 2 absolute values, you can just ignore the middle. That is, |x-4|+|x-3|<3 -> |x-4+x-3|<3 -> |2x-7|<3, -3<2x-7<3, 4<2x<10, 2<x<5->
Therefore, the answer is B.
Answer: (B) 2<x<5
Question: After deducting a commission of 5%, a T.V. set costs $9595. Its market price is ?
(A) 10000
(B) 10100
(C) 21200
(D) 21000
(E) 11000
Rationale: Let the marked price be x
then, x-5% of x = 9595
95% of x = 9595
x = 10100
Answer is B
Answer: (B) 10100
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
(A) 186 Sec
(B) 190 Sec
(C) 279 Sec
(D) 978 Sec
(E) 627 Sec
Rationale: L = S*T
S= 1200/120
S= 10 m/Sec.
Total length (D)= 1900 m
T = D/S
T = 1900/10
T = 190 Sec
Answer:B
Answer: (B) 190 Sec
Question: The length and breadth of a rectangle is increased by 10% and 30% respectively. What is the increase in the area?
(A) 43.0
(B) 44.0
(C) 43.5
(D) 45.0
(E) 42.0
Rationale: 100*100=10000
110*130=14300
----------
4300
10000-------4300
100-------43.00
Answer A
Answer: (A) 43.0
Question: A six-sided die is rolled once. What is the probability that the number rolled is an even number greater than 2?
(A) 1/4
(B) 2/4
(C) 1/2
(D) 1/3
(E) 2/3
Rationale: Out of the 6 possible numbers that may rolled, 3 are even: 2, 4 and 6 BUT only 4 and 6 are greater than 2. Hence the probability that the number rolled is an even number greater than 2 is given by
(number of even numbers greater than 2) / 6 = 2 / 6 = 1 / 3
correct answer D
Answer: (D) 1/3
Question: The average of 10 consecutive integers is 20. Then, 9 is deducted from the first consecutive number, 8 is deducted from the second, 7 is deducted form the third, and so on until the last number which remains unchanged. What is the new average?
(A) 14
(B) 14.5
(C) 15
(D) 15.5
(E) 16
Rationale: The total subtracted is (9+8+...+1) = (9*10) / 2 = 45
On average, each number will be reduced by 45/10 = 4.5
Therefore, the overall average will be reduced by 4.5
The answer is D.
Answer: (D) 15.5
Question: In a two-digit, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:
(A) 24
(B) 26
(C) 42
(D) 46
(E) 48
Rationale: Let the ten's digit be x.
Then, unit's digit = x + 2.
Number = 10x + (x + 2) = 11x + 2.
Sum of digits = x + (x + 2) = 2x + 2.
(11x + 2)(2x + 2) = 144
22x2 + 26x - 140 = 0
11x2 + 13x - 70 = 0
(x - 2)(11x + 35) = 0
x = 2.
Hence, required number = 11x + 2 = 24.
Answer:A
Answer: (A) 24
Question: A farmer spent $35 on feed for chickens and goats. He spent 40% money on chicken feed, which he bought at a 20% discount off the full price, and spent the rest on goat feed, which he bought at full price. If the farmer had paid full price for both the chicken feed and the goat feed, what amount would he have spent on the chicken feed and goat feed combined?
(A) $37.80
(B) $38.50
(C) $39.20
(D) $39.50
(E) $40.60
Rationale: A farmer spent 40% money on chicken feed, so he spent 0.4*$35=$14 on chicken feed, thus he spent the remaining 35-14=$21 on goat feed.
Now, since he bought chicken feed at a 20% discount then the original price of it was x*0.8=$14 --> x=$17.5.
Therefore if the farmer had paid full price for both the chicken feed and the goat feed, then he would he have spent 17.5+21=$38.5.
Answer: B.
Answer: (B) $38.50
Question: What is the average of xx, 2x2x, and 66?
(A) 2x+2
(B) x+2x-2
(C) x+2x+2
(D) x+2
(E) x+2x
Rationale: By the definition of an average, we get:
x+2x+63=3x+63x+2x+63=3x+63
=3(x+2)3=x+2.=3(x+2)3=x+2.
Hence, the answer is x+2x+2 or
Option C
Answer: (C) x+2x+2
Question: A courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof. What could be the weight in grams of a package for which the charge is $2.15?
(A) 980
(B) 1120
(C) 1260
(D) 1420
(E) 1670
Rationale: The charge is 65 cents for the first 250 grams.
This leaves a charge of $2.15 - $0.65 = $1.50
The charge for the next 1400 grams is $1.40 which leaves a charge of $0.10
The weight is somewhere between 1650 and 1750.
The answer is E.
Answer: (E) 1670
Question: If 4 men can colour 48 m long cloth in 2 days, then 6 men can colour 72 m long cloth in
(A) 1 day
(B) 2 days
(C) 3 days
(D) 4 days
(E) 5 days
Rationale: The length of cloth painted by one man in one day = 48 / 4 × 2 = 6 m
No. of days required to paint 36 m cloth by 6 men = 72/ 6 × 6 = 2 day.
B
Answer: (B) 2 days
Question: In a 400 member association consisting of men and women, exactly 20% of men and exactly 25 % women are homeowners. What is the least number of members who are homeowners?
(A) 81
(B) 147
(C) 145
(D) 143
(E) 141
Rationale: Solution simple
Out of 400 20% are male i.e 80 and 25% are female i.e 100 , so total homeowner is 180.
Now min number homeowner is 80 and max is 180 so question ask us to find least and 81 has least value among all option.
So ans is 81.
Answer : A
Answer: (A) 81
Question: A can work four times as fast as B. Together they can finish a job in 10 days. In how many days can A complete the job alone?
(A) 11.5
(B) 12.5
(C) 13.5
(D) 14.5
(E) 15.5
Rationale: B's rate is x and A's rate is 4x.
x + 4x = 1/10
x = 1/50
A's rate is 4x = 1/12.5
A can complete the job in 12.5 days.
The answer is B.
Answer: (B) 12.5
Question: On an order of 5 dozen boxes of a consumer product, a retailer receives an extra dozen free. This is equivalent to allowing him a discount of:
(A) 15%
(B) 16 1/6%
(C) 16 2/3%
(D) 20%
(E) 30%
Rationale: Clearly, the retailer gets 1 dozen out of 6 dozens free.
Equivalent discount = 1/6 * 100 = 16 2/3%.
ANSWER:C
Answer: (C) 16 2/3%
Question: An arithemetic sequence of numbers begins p, 2p + 1, 4p + 2... What is the 14th member of this sequence?
(A) A)37
(B) B)40
(C) + 13
(D) D)53
(E) + 13
Rationale: Common difference of an arithmetic series is constant.
2p+2-p=4p+3-2p-2
p=1
1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37
Ans:B
Answer: (B) B)40
Question: Tom found a box of 220 baseball cards. Being a thoughtful older brother, he wanted to save at least 50 percent of the cards for himself and split the remaining cards evenly among his 5 younger brothers. What is the lowest possible number of cards that Tom can save for himself that will also allow each of his 5 younger brothers to get an equal number of cards?
(A) 110
(B) 112
(C) 116
(D) 118
(E) 122
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 (1/5)*(x/2) is an integer
Or x/10 is an integer.
Hence we need the lowest multiple of 10 from the given options.
Let us start from the lowest value:
Option A: 110. This is not a multiple of 10. Hence the correct answer.
Correct Option: A
Answer: (A) 110
Question: What percentage of numbers from 1 to 60 have 1 or 9 in the unit's digit?
(A) 12
(B) 14.11
(C) 18.33
(D) 20
(E) 21
Rationale: Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1. Such numbers from 1 to 60 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59
Number of such number =11
ANSWER :C
Answer: (C) 18.33
Question: The H.C.F. of two numbers is 5 and their L.C.M. is 150. If one of the numbers is 25, then the other is:
(A) 30
(B) 28
(C) 24
(D) 20
(E) 35
Rationale: Product of two nos = product of HCF and LCM
Let one number = x
=> 25 * x = 5 * 150
x=5*150/25=30
ANSWER A
Answer: (A) 30
Question: The amount of an investment will double in approximately 70/ p years, where p is the percent interest, compounded annually. If Thelma invests $ 30,000 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?
(A) $ 240,000
(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 $ 30,000 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 42 years, the investment will get doubled 42/14= 3 times.
So the amount invested will get doubled thrice.
So, 30000 *2^3 = 240000
Hence, the answer is A.
Answer: (A) $ 240,000
Question: x, y, a, and b are positive integers. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 12. Which of the following is NOT a possible value for y + b?
(A) 24
(B) 21
(C) 18
(D) 17
(E) 15
Rationale: Important note: remainder is ALWAYS less than divisor, thus y>6 and b>12 --> y+b>18.
Answer: C.
Answer: (C) 18
Question: 8 men, working 8 hours a day can complete a work in 24 days. How many hours a day must 12 men work to complete the same work in 16 days?
(A) 6
(B) 7
(C) 8
(D) 9
(E) 10
Rationale: The number of hours required to complete the work is 8*8*24 = 1536
12 × 16 × (x) = 1536
x = 8
The answer is C.
Answer: (C) 8
Question: I. j; k; m; n; p
II. j - 10; m; m; m; p + 15
III. j + 2; k + 1; m; n - 1; p - 2
If j, k, m, n, and p are consecutive positive integers such that j < k < m < n < p, the data sets I, II, and III above are ordered from greatest standard deviation Z to least standard deviation in which of the following?
(A)  I, III, II
(B)  II, I, III
(C)  II, III, I
(D)  III, I, II
(E)  III, II, I
Rationale: Range of 1st Set = (p-j)
Range of 2nd Set = P+15 - j +10 = (p-j) +25
Range of 3rd Set = P -2 - j - 2 = (p-j) - 4
R2 > R1 > R3 ==> SD2 > SD1 > SD3
Since, Z=Higher the Range -> More Dispersion in the Set -> More Standard Deviation.B
Answer: (B)  II, I, III
Question: Find the remainder of 1421 x 1423 x 1425 when divided by 12
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
Rationale: 1421 x 1423 x 1425 / 12
= (12*118+5)*(12*118+7)*(12*118+9)/ 12
=> rem[(5*7*9)/12]
=> rem[(35*9)/12]
=> rem[(36-1)*9/12]
=> rem[(-9)/12]
=> rem = 3
ANSWER:D
Answer: (D) 3
Question: 1000 men have provisions for 15 days. If 300 more men join them, for how many days will the provisions last now?
(A) 11.5
(B) 12.5
(C) 12.6
(D) 12.2
(E) 12.1
Rationale: 1000*15 = 1300*x
x = 11.5
Answer: A
Answer: (A) 11.5
Question: 9548 + 7314 = 3362 + (?)
(A) 8300
(B) 8400
(C) 13500
(D) 8700
(E) 9000
Rationale: 9548 16862 = 3362 + x
+ 7314 x = 16862 - 3362
----- = 13500
16862
-----
C)
Answer: (C) 13500
Question: The distance between A&B is 450km. A person is traveling from A to B at 70km/hr started at 9AM and another person is traveling from B to A at 80km/hr and started at same time. Then at what time they meet together.?
(A) A)12PM
(B) B)4PM
(C) C)1PM
(D) D)3PM
(E) E)5PM
Rationale: Let x hours be they will meet together
distance covered by 1st person+distance covered by 2nd person = 450km
70x+80x = 450
x= 3 hr
They will meet = 9AM +3hr = 12PM
Answer is A
Answer: (A) A)12PM
Question: In how many ways can you seat 8 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?
(A) 720
(B) 1720
(C) 25200
(D) 5040
(E) 10080
Rationale: Since Rohit does not want to sit on the middle seat or at either end (3 chairs), then he can choose 5 chairs to sit. The remaining 7 people can sit in 7! ways. Thus the # of arrangements is 5*7! = 25,200.
Answer: C.
Answer: (C) 25200
Question: If 3x−y=27 and 3x+y=243, then find the value of x
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Rationale: Explanation:
3x−y=27=33<=>x−y=3... (i)3x+y=243=35<=>x+y=5... (ii) adding (i) and (ii)=>2x=8=>x=4
Option D
Answer: (D) 4
Question: John, Mac and Tonny together can do a work in 20 days. John alone can do the work in 80 days and Mac alone can do the same work in 70 days. Find in what time Tonny alone can do that work?
(A) 50days
(B) 43.08days
(C) 53.80days
(D) 35days
(E) 44.50days
Rationale: The required answer is = 20*80*70 / 80*70-20(80+70)
= 112000/2600 = 43.08days
Answer is B
Answer: (B) 43.08days
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
(A) 120 meters
(B) 180 meters
(C) 324 meters
(D) 150 meters
(E) None of These
Rationale: Speed=(60 x(5/18)m/sec	=(50/3)m/sec.
Length of the train = (Speed x Time).
Length of the train =	((50/3)x 9)m = 150 m
D
Answer: (D) 150 meters
Question: For any integer k greater than 1, the symbol k* denotes the product of all the fractions of the form 1/t, where t is an integer between 1 and k, inclusive. What is the value of 3*/4* ?
(A) 5
(B) 5/4
(C) 4/5
(D) 1/4
(E) 1/5
Rationale: When dealing with 'Symbolism' questions, it often helps to 'play with' the Symbol for a few moments before you attempt to answer the question that's asked. By understanding how the Symbol 'works', you should be able to do the latter calculations faster.
Here, we're told that K* is the PRODUCT of all the fractions of the form 1/T, where T is an integer between 1 and K, inclusive.
Based on this definition....
IF....
K = 2
K* = (1/1)(1/2) = 1/2
IF....
K = 3
K* = (1/1)(1/2)(1/3) = 1/6
We're asked to find the value of 5*/4*
Now that we know how the Symbol 'works', solving this problem shouldn't be too difficult. You can actually choose to do the math in a couple of different ways....
5* = (1/1)(1/2)(1/3)(1/4)(1/5)
Don't calculate this just yet though....since we're dividing by 4*, many of those fractions will 'cancel out.'
4* = (1/1)(1/2)(1/3)(1/4)
We're looking for the value of:
(1/1)(1/2)(1/3)(1/4)(1/5) / (1/1)(1/2)(1/3)(1/4)
Since the first four fraction in the numerator and denominator cancel out, we're left with just one fraction:
5/4
B
Answer: (B) 5/4
Question: The ratio of the volumes of two cubes is 27 : 125. What is the ratio of their total surface areas?
(A) 9 : 25
(B) 9 : 35
(C) 81 : 124
(D) 81 : 126
(E) 81 : 129
Rationale: Ratio of the sides = 3√27: 3√125 = 3 : 5
Ratio of surface areas = 3^2 : 5^2 = 9:25
Answer: Option A
Answer: (A) 9 : 25
Question: a+2b=6,ab=4
2/a + 1/b=?
(A) 3/2
(B) 5/2
(C) 7/2
(D) 9/2
(E) 11/2
Rationale: 2/2+1/2=1+1/2=3/2
ANSWER:A
Answer: (A) 3/2
Question: In a competitive examination in State ASS, 3% candidates got selected from the total appeared candidates. State BI had an equal number of candidates appeared and 5% candidates got selected with 12 more candidates got selected than ASS. What was the number of candidates appeared from each State?
(A) 500
(B) 250
(C) 300
(D) 1200
(E) 789
Rationale: State ASS and State BI had an equal number of candidates appeared.
In state ASS, 3% candidates got selected from the total appeared candidates
In state BI, 5% candidates got selected from the total appeared candidates
But in State BI, 12 more candidates got selected than State ASS
From these, it is clear that 1% of the total appeared candidates in State BI = 12
=> total appeared candidates in State BI = 12 x 100 = 1200
=> total appeared candidates in State ASS = total appeared candidates in State BI = 1200
Answer : D
Answer: (D) 1200
Question: There are 250 female managers in a certain company. Find the total number of female employees in the company, if 2/5 of all the employees are managers and 2/5 of all male employees are managers.
(A) 325
(B) 425
(C) 625
(D) 700
(E) None of these
Rationale: as per question stem 2/5M (Portion of Men employees who are managers) + 250 (Portion of Female employees who are managers) = 2/5T (Portion of Total number of employees who are managers), thus we get that 2/5M+250 = 2/5T, or 2/5(T-M)=250, from here we get that T-M=625, that would be total number of female employees and the answer (C)
Answer: (C) 625
Question: Let the function W(n) represent the product of the first n prime numbers, where n > 0. If x = W(n) + 1, which of the following must be true?
(i) x is always odd
(ii) x is always prime
(iii) x is never the square of an integer
(A) ii only
(B) iii only
(C) i and ii only
(D) i and iii only
(E) ii and iii only
Rationale: W(n) is always even, because the first prime is 2 and no matter what n is, 2 always will be a divisor of W(n). Thus, W(n) + 1 = even + 1 = odd. So, (i) is always true.
Now, use logic:
If (ii) is true (so if x is always prime), then (iii) must automatically be true: no prime is the square of an integer. So, the correct answer must be i only; i, ii, and iii only; or i and iii only. since onlyi and iii onlyis among the options, then it must be true.
Or, since (i) is always true, then from options the answer must be either C or D. C cannot be correct because if (ii) is true, then so must be (iii). Thus only D remains.
Answer: D.
Answer: (D) i and iii only
Question: What should come in place of the question mark (?) in each of the following questions ?
12 + 22 + 32 + ... + 102 = ?
(A) 400
(B) 625
(C) 380
(D) 385
(E) 370
Rationale: Explanation :
Sum of the squares of first 'n' natural number = n(n+l)(2n+l)/6 Put n = 10. 10x 11x21/6=55x7=385.
Answer : Option D
Answer: (D) 385
Question: A certain country is divided into 4 provinces. Each province consists entirely of Progressives and Traditionalists. If each province contains the same number of Traditionalists and the number of Traditionalists in any given province is 1/12 the total number of Progressives in the entire country, what fraction of the country is Traditionalist?
(A) 1/5
(B) 1/3
(C) 1/2
(D) 2/3
(E) 3/4
Rationale: Let P be the number of Progressives in the country as a whole.
In each province, the number of traditionalists is P/12
The total number of traditionalists is 4P/12 = P/3.
The total population is P + P/3 = 4P/3
P / (4P/3) = 3/4
The answer is E.
Answer: (E) 3/4
Question: The product of all the prime numbers less than 50 is closest to which of the following powers of 10 ?
(A)  10^9
(B)  10^8
(C)  10^7
(D)  25*10^6
(E)  10^5
Rationale: 2*3*5*7*11*13*17*19
2*19*3*17*5*13*7*11
38*51*65*77
By approximation
40*50*70*70
2000*4900
By approximation
5000*5000
25,000,000
D
Answer: (D)  25*10^6
Question: 108.	Triangle A’s base is 20% greater than the base of triangle B, and A’s height is 20% less than the height of triangle B. The area of triangle A is what percent less or more than the area of triangle B?
(A)  0.25 % less
(B)  1 % less
(C)  Equal to each other
(D)  1 % more
(E)  9 % more
Rationale: Wish the question specified that we are talking about corresponding height.
Base of A = 21/20 * Base of B
Height of A = 19/20 * Height of B
Area of A = (1/2) * Base of A * Height of A = 21/20 * 19/20 * Area of B = 399/400 * Area of B
Area of A is 0.25% less than the area of B.
Answer (A)
Answer: (A)  0.25 % less
Question: An employee’s annual salary was increased $15,000. If her new annual salary now equals $90,000, what was the percent increase?
(A) 15%
(B) 16 2⁄3%
(C) 20%
(D) 22%
(E) 24%
Rationale: New annual salary = $90,000
Salary increase = $15,000.
Original salary = $90,000 - $15,000.
= $75,000
%Increase = ($15,000/ $75,000 )*100
=20%
Hence C.
Answer: (C) 20%
Question: A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
(A) 87 seconds
(B) 67 seconds
(C) 40 seconds
(D) 67 seconds
(E) 54 seconds
Rationale: Speed = 45 Km/hr = 45*(5/18) m/sec = 25/2 m/sec
Total distance = 360+140 = 500 meter
Time = Distance/speed
= 500 * (2/25) = 40 seconds
Answer: C
Answer: (C) 40 seconds
Question: If Yury has been writing programming code for 13 hours at a rate of 5 lines of code per 20 seconds, how many lines of code has he written?
(A) 117(10^2)
(B) 126(10^3)
(C) 12.6(10^5)
(D) 1.26(10^7)
(E) .126(10^9)
Rationale: 5 LINES IN 20 SECONDS
SO FOR 1 MINUTE ( 5 X 3 = 15 LINES )
I HOUR = 60 MINUTES
15 X 60 = 900 LINES IN AN HOUR
13 HOURS = 900 X 13 = 117(10^2)
ANSWER A
Answer: (A) 117(10^2)
Question: Without stoppages a train travels a certain distance with an average speed of 60 kmph and with stoppages it covers the same distance with an average speed of 20 kmph. What is the time in minutes per hour for which train stops?
(A) 30 min/hr
(B) 35 min/hr
(C) 40 min/hr
(D) 45 min/hr
(E) 50 min/hr
Rationale: Pick a smart number for the distance. lets say LCM 60
Without = 60/60 = 1 hours
With = 60/20= 3 hours
So in a trip of 3 hours, 2 hour is spent in stoppages
Hence, 120/3 = 40 min/hr on stoppages
Answer : C
Answer: (C) 40 min/hr
Question: The average age of father and his two sons is 18 Years. Five years ago, the average age of the two sons was 11 Years. If the difference between the ages of the two sons is four years, what is the present age of the father?
(A) 22
(B) 24
(C) 25
(D) 28
(E) 49
Rationale: The total present age of father and two sons is 3x18 = 54 yrs
The total present age of sons is (11+5) X 2 = 32Years
so, present age of father is 54 â€“ 32 = 22 yrs
Answer A
Answer: (A) 22
Question: A sum was put at simple interest at a certain rate for 3 years. Had it been put at 2% higher rate, it would have fetched Rs. 360 more. Find the sum.
(A) 3000
(B) 6000
(C) 2000
(D) 4000
(E) None of them
Rationale: Let sum = P and original rate = R.
Then, [ (P*(R+2)*3)/100] – [ (P*R*3)/100] = 360.
= 3PR + 6P - 3PR = 36000  6P=36000  P=6000
Hence, sum = Rs. 6000.
Answer is B.
Answer: (B) 6000
Question: The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 26,000 is made?
(A) Rs. 1,10,000
(B) Rs. 1,20,000
(C) Rs. 1,22,000
(D) Rs. 1,21,000
(E) None of these
Rationale: The value of the machine after two years = 0.8 * 0.8 * 1,50,000 = Rs. 96,000
SP such that a profit of Rs. 24,000 is made = 96,000 + 26,000 = Rs. 1,22,000
ANSWER:C
Answer: (C) Rs. 1,22,000
Question: A man is 16 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is
(A) 21 years
(B) 14 years
(C) 16 years
(D) 18 years
(E) 26 years
Rationale: Explanation:
Let's Son age is x, then Father age is x+16.
=> 2(x+2) = (x+16+2)
=> 2x+4 = x+18
=> x = 14 years
Option B
Answer: (B) 14 years
Question: If p/q =4/5, then the value of 4/7 + {(2q - p) / (2q + p)} is ?
(A) 3 / 7
(B) 34
(C) 1
(D) 2
(E) 3
Rationale: Answer
Given Exp. = 4 / 7 + {(2q - p) / (2q + p)}
Dividing numerator as well as denominator by q,
Exp = 4/7 + {2-p/q) / (2 + p/q)}
= 4/7 + {(2 - 4/5) / (2 + 4/5)}
= 4/7 + 6/14
= 4/7 + 3/7
=7/7
=1.
Correct Option: C
Answer: (C) 1
Question: A person was going through train from Bombay to Pune. After every five minutes he finds a train coming from opposite direction. Velocity of trains are equal of either direction. If the person reached Pune in one hour then how many trains he saw in the journey ?
(A) 9
(B) 10
(C) 11
(D) 12
(E) 13
Rationale: 11
ANSWER:C
Answer: (C) 11
Question: Rahim bought 65 books for Rs.1150 from one shop and 50 books for Rs.920 from another. What is the average price he paid per book ?
(A) 28
(B) 18
(C) 27
(D) 29
(E) 21
Rationale: Average price per book
= (1150 + 920) / (65 + 50)
= 2070 / 115
= Rs.18
Answer:B
Answer: (B) 18
Question: How much water must be added to 56 litres of milk at 1 1⁄2 litres for 20 so as to have a mixture worth 10 2⁄3 a litre?
(A) 10 litres
(B) 12 litres
(C) 14 litres
(D) 18 litres
(E) None of these
Rationale: C.P. of 1 litre of milk = (20 × 2⁄3) = 40⁄3
∴ Ratio of water and milk = 8⁄3 : 32⁄3 = 8 : 32 = 1 : 4
∴ Quantity of water to be added to 56 litres of milk
= (1⁄4 × 56) litres = 14 litres.
Answer C
Answer: (C) 14 litres
Question: Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 5 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week?
(A) 30
(B) 20
(C) 18
(D) 12
(E) 6
Rationale: 21-12 < no of hrs < 21-5
9< no of hrs < 16.
D
Answer: (D) 12
Question: Increasing the original price of an article by 5 percent and then increasing the new price by 5 percent is equivalent to increasing the original price by
(A) 10.25%
(B) 12.5%
(C) 14.75%
(D) 15.15%
(E) 16.25%
Rationale: 1.05*1.05*x = 1.1025*x
The answer is A.
Answer: (A) 10.25%