mathewhe/aqua_rat huggingface dataset:
Question: Working alone, John finishes cleaning half the house in a third of the time it takes Nick to clean the entire house alone. John alone cleans the entire house in 6 hours. How many hours will it take Nick and John to clean the entire house if they work together?
(A) 1.5
(B) 2
(C) 2.4
(D) 3
(E) 3.6
Rationale: Answer is 3.6 hours.
John does the complete house in 6 hours while Nick does it in 9 hours. 1/ (1/6+1/9)= 3.6
answer is E
Answer: (E) 3.6
Question: Line J has a y-intercept of 7 and passes through point (a,b). What is the slope of Line J in terms of a and b?
(A) (b-7)/a
(B) (a−b)/6
(C) (6−a)/b
(D) (6−b)/a
(E) (b−6)/a
Rationale: You know that the line goes through point (a,b) and the y-intercept of 7 tells you that the line also goes through point (0,7).
slope m = (y-y1)/(x-x1) = (b-7)/(a-0)
A
Answer: (A) (b-7)/a
Question: A candy company sells premium chocolate at $3 per pound and regular chocolate at $4 per pound in increment of whole pound only.If Barrett buys a pack of candies which costs him $31, how many pounds of premium chocolates are in the box?
(A) [A] 1
(B) [B] 2
(C) [C] 3
(D) [D] 4
(E) [E] 5
Rationale: This question is a bit of Special equations with a single set of unique values.
the Equation stands : 3X + 4Y = 31
Subtract multiple of 5 from 31 and check whether the remaining total is divisible by 4
31 - 5 = 26 -> Not divisible by 4
31 - 10 = 21 -> Not divisible by 4
31 - 15 =16 -> Divisible by 4
31 - 20 =11 -> Not divisible by 4
31 - 25 =6 -> Not divisible by 4
31 - 30 =1 -> Not divisible by 4
Any multiple of 5 hereon will give a negative value for regular chocolates bought and hence, inadmissible
Thus Amount spent on regular chocolate= $16
Amount spent on Premium chocolate= $15
Price per premium chocolate = $5
No. Of boxes of premium chocolate bought = 5 / 5 = 1
Correct Option : A
Answer: (A) [A] 1
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 5 sec. If one is moving twice as fast the other, then the speed of the faster train is?
(A) 26 km/hr
(B) 17 km/hr
(C) 60 km/hr
(D) 42 km/hr
(E) 46 km/hr
Rationale: Let the speed of the slower train be x m/sec.
Then, speed of the train = 2x m/sec.
Relative speed = ( x + 2x) = 3x m/sec.
(100 + 100)/5 = 3x => x = 20/3.
So, speed of the faster train = 40/3 = 40/3 * 18/5
= 42 km/hr.
Answer:D
Answer: (D) 42 km/hr
Question: If a certain number is divisible by 22 and 40, it is NOT necessarily divisible by which of the following?
(A) 4
(B) 11
(C) 20
(D) 42
(E) 44
Rationale: If a certain number is divisible by 22 and 40, it is NOT necessarily divisible by which of the following?
let the certain number be 440, which is both divisible by 22 and 40.
440/42 = 220/21
D. 42
Answer: (D) 42
Question: Which of the following options is an appropriate approximate value in the following equation’? 3 4/3 of 155.83+22% of 1547= ? - 504.7
(A) 1855.94
(B) 1557.94
(C) 1257.94
(D) 1837.94
(E) 1857.94
Rationale: 3 4/3 of 155.83+22% of 1547= ? - 504.7
1012.9+340.34= ? - 504.7
1012.9+340.34 +504.7= ?
≈ 1857.94
Answer E
Answer: (E) 1857.94
Question: Mario and Nina each have a bag of marbles, each of which contains 12 blue marbles, 10 red marbles, and 18 white marbles. If Mario and Nina each select one marble from their respective bags, what is the probability that either Mario or Nina select a red marble?
(A) 3/4
(B) 2/4
(C) 1/4
(D) 1/8
(E) 1/16
Rationale: Mario and Nina each select one marble from their respective bags.
Probability that either Mario or Nina select a red marble = Probability that Mario selects a red marble + Probability that Nina selects a red marble
Probability that either Mario or Nina select a red marble = (10/40)*(10/40) + (10/40)*(10/40) = 2*(1/16)
Probability that either Mario or Nina select a red marble = 1/8
Answer would be D.
Answer: (D) 1/8
Question: The average weight of 10 person's increases by 5 kg when a new person comes in place of one of them weighing 60 kg. What is the weight of the new person?
(A) 85.5
(B) 86.5
(C) 87.5
(D) 110
(E) 89.5
Rationale: Total increase in weight =10 ×5 = 50
If x is the weight of the new person, total increase in weight = x−60
=> 50= x - 60
=> x = 50 + 60= 110
ANSWER:D
Answer: (D) 110
Question: Find the principle on a certain sum of money at 5% per annum for 3 1/5 years if the amount being Rs.580?
(A) Rs.500
(B) Rs.5100
(C) Rs.530
(D) Rs.540
(E) None of these
Rationale: Explanation:
580 = P [1 + (5*16/5)/100]
P= 500
Answer: Option A
Answer: (A) Rs.500
Question: The tax on a commodity is diminished by 20% and its consumption increased by 15%. The effect on revenue is?
(A) 9% decrease
(B) 8% decrease
(C) 6% decrease
(D) 1% decrease
(E) 2% decrease
Rationale: 100 * 100 = 10000
80 * 115 = 9200
-----------
10000-----------800
100-----------? => 8% decrease
Answer: B
Answer: (B) 8% decrease
Question: In order to fence a square Manish fixed 48 poles. If the distance between two poles, is 1 metres then what will be the area of the square so formed?
(A) 144 cm2
(B) 260 cm2
(C) 2500 cm2
(D) 302 cm2
(E) None of these
Rationale: Let the side of the square be x m.
∴ Perimeter of the square = 48 × 1 = 4x ∴ x = 12 m
∴ Area = (12)2 = 144 cm2
Answer A
Answer: (A) 144 cm2
Question: Tourist purchased a total of 30 travelers checks in $50 and $100 denominations. The total worth of the travelers checks is $1800. How many checks of $50 denominations can he spend so that average amount (arithmetic mean) of the remaining travelers checks is $70?
(A) 4
(B) 12
(C) 15
(D) 20
(E) 24
Rationale: you could set-up a quick table and brute force the answer.
A	4	*	50	200 1800	-200 1600	26 61.54
B	12	*	50	600 1800	-600 1200	18 66.67
C	15	*	50	750 1800	-750 1050	15 70.00
D	20	*	50	1000 1800	-1000 800	10 80.00
E	24	*	50	1200 1800	-1200 600	6 100.00
Answer is C
Answer: (C) 15
Question: The number of sequences in which 3 players can throw a ball, so that the youngest player may not be the last is ?
(A) 3
(B) 8
(C) 5
(D) 4
(E) 10
Rationale: x Not younger
The last ball can be thrown by any of the remaining 3 players. The first 6 players can throw the ball in 2P2 ways.
The required number of ways = 2(2!)
= 4
Answer:D
Answer: (D) 4
Question: There are 12 balls in a jar: 6 red, 2 blue and 4 green. If a single ball is drawn from the jar, what is the probability of that it is either blue or red?
(A) 1/12
(B) 1/4
(C) 1/2
(D) 2/3
(E) 3/4
Rationale: Blue + Red =8
Total number of balls is 6+2+4=12
So the answer is 8/12=2/3
Answer D
Answer: (D) 2/3
Question: How many pairs of letters in the word 'CHAIRS' have as many letters between them in the word as in the alphabet?
(A) 2
(B) 5
(C) 6
(D) 8
(E) 3
Rationale: Explanation:
Letters in the word Letters in the alphabet
Answer: A) 2
Answer: (A) 2
Question: A bag contains 25 paise, 50 paise and 1 rupee coins in the ratio 7:4:3 . total no. of coins is 360. sum of total coins is Rs. 99 so how many 25 paise coins?
(A) 160
(B) 170
(C) 180
(D) 190
(E) 200
Rationale: total coins=360
25 p coins =(7/14)*360=180
ANSWER:C
Answer: (C) 180
Question: Three people each took 5 tests. If the ranges of their scores in the 5 practice tests were 20, 28 and 35, what is the minimum possible range in scores of the three test-takers?
(A) 30
(B) 35
(C) 25
(D) 15
(E) 28
Rationale: I simply looked at the 3 different possible scores for each individual test: 20,35,28
We have to find the minimum range:
35-20=15
35-28=7
28-20=8
The find the minimum range, you have to make the set of the 5 scores as small as possible.
Which means that 4 of the 5 scores of each individual person is zero.
7*5 = 35
Answer:B
Answer: (B) 35
Question: Which of the following numbers is between 1⁄5 and 1⁄6?
(A) .45
(B) .35
(C) .29
(D) .22
(E) .18
Rationale: 1/5 = .2
1/6 = .1666...
The only number between these two is 0.18.
The answer is E.
Answer: (E) .18
Question: A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 90 km/hr. What is the length of the platform?
(A) 229
(B) 240
(C) 400
(D) 277
(E) 221
Rationale: Speed = 90 * 5/18 = 25 m/sec.
Length of the train = 25 * 20 = 500 m.
Let the length of the platform be x m . Then,
(x + 500)/36 = 25 => x = 400 m.
Answer: C
Answer: (C) 400
Question: Which is smallest prime number?
(A) 5
(B) 3
(C) 7
(D) 19
(E) 4
Rationale: Answer :B
Answer: (B) 3
Question: Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of oxygen are there in 126 grams of water?
(A) 110
(B) 112
(C) 114
(D) 116
(E) 118
Rationale: (16/18)*126 = 112 grams
The answer is B.
Answer: (B) 112
Question: P and Q started a business investing Rs 85000 and Rs 10000 resp. In what ratio the profit earned after 2 years be divided between P and Q respectively.
(A) 17:5
(B) 17:3
(C) 17:6
(D) 17:2
(E) 17:8
Rationale: Explanation:
In this type of question as time frame for both investors is equal then just get the ratio of their investments.
P:Q = 85000:10000
= 85:10
= 17:2
Option D
Answer: (D) 17:2
Question: The area of a circle is increased by 300%. By what percent has the radius of the circle increased?
(A)  400%
(B)  200%
(C)  100%
(D)  600%
(E)  800%
Rationale: The area of the circle is increased by 300%, thus the area is increased 4 times.
The area of a circle it proportional to the square of the radius (area=πr^2), therefore the radius must increase 2 times (diameter increase 2 times = area increase 4 times), which is increase by 100%.
Answer: C
Answer: (C)  100%
Question: If the number 54773*4 is completely divisible by 8, then the smallest whole number in place of * will be?
(A) 1
(B) 2
(C) 3
(D) 4
(E) None of these
Rationale: The number 3x4must be divisible by 8.
x=4 as 344 is divisible by 8.
Correct Option : D
Answer: (D) 4
Question: On multiplying a number F by 153, the result obtained was 102325. However, it is found that both the 2's are wrong. Find the correct result.
(A) 104345
(B) 107375
(C) 108385
(D) 109395
(E) 105355
Rationale: The only thing you actually know about the correct number F is that it is divisible by 153 and has 5 as a factor.
You should immediately try to find the factors of 153 and look for them in the options.
153 = 9*17
Divisibility by 9 is easy to check. Only (D) satisfies.
Answer: (D) 109395
Question: The number of livestock in a farm at the beginning of year 2000 was 110,000. During the year, the number increased by p%. During the next year 2001, there was a famine and the number decreased by q%. A census at the end of year 2001 revealed that the number of livestock in the farm was 110,000. Which of the following expressions is correct?
(A) q>p
(B) p > q
(C) p = q
(D) With the exception of 1 instance, p will be equal to q
(E) There is no relation between p and q
Rationale: Number plugging in will be best strategy for this question.
Let p = 5%,
Per the question 100000(1.05)(1-q/100) = 100000 ---> q = 4.7%. Thus p > q and hence B is the correct answer.
Answer: (B) p > q
Question: Salesperson A's compensation for any week is $360 plus 6 percent of the portion of A's total sales above $2,000 for that week. Salesperson B's compensation for any week is 8 percent of A's total sales for that week. For what amount of total weekly sales would both salepeople earn the same compensation?
(A) $12,000
(B) $18,000
(C) $15,000
(D) $ 4,500
(E) $4,000
Rationale: sometime, setting up an equation is an easy way to go with:
360 + 0.06 (x - 2000) = 0.08 x
x = 12000
Ans : A
Answer: (A) $12,000
Question: Panjali walked for 3 days. She walked 18 miles on the first day, walking 3 miles per hour. On the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. On the third day she walked the same number of hours as on the first day, but at the same speed as on the second day. How many miles in total did she walk?
(A) 24
(B) 44
(C) 58
(D) 60
(E) 62
Rationale: Panjali walked 18 miles on the first day, walking 3 miles per hour i.e. total time of walk on Day-1 = 18/3 = 6 Hours
Second day time of walk = 6-1 = 5 hours and Speed = 3+1=4 miles per hour i.e. Distance walked on second day = 5*4 = 20 miles
Third day time of walk = 6 hours and Speed = 4 miles per hour i.e. Distance walked on second day = 6*4 = 24 miles
Total Distance travelled on three days = 18+20+24 = 62
Answer: Option E
Answer: (E) 62
Question: A sum fetched a total simple interest of 4016.25 at the rate of 9 %.p.a. in 5 years. What is the sum?
(A) 5768
(B) 8925
(C) 2345
(D) 6474
(E) 8723
Rationale: B
8925
Principal = (100 x 4016.25)/(9 x 5)
= 401625/45
= 8925.
Answer: (B) 8925
Question: How many liters of water must be evaporated from 50 liters of a 2 percent sugar solution to get a 4 percent sugar solution?
(A) 20
(B) 25
(C) 30
(D) 35
(E) 40
Rationale: Let x be the amount that needs to be evaporated.
0.02(50) = 0.04(50-x)
0.04x = 2 - 1
x = 1/0.04 = 25 liters
The answer is B.
Answer: (B) 25
Question: A solution is 90% glycerin. If there are 4 gallons of the solution, how much water, in gallons must be addded to make a 75% glycerin solution
(A) 1.8
(B) 1.4
(C) 1.2
(D) 1.0
(E) 0.8
Rationale: In 4 gallons of the solution there are 0.9∗4=3.80 gallons of glycerin. We want to add ww gallons of water to 4 gallons of solution so that these 3.6 gallons of glycerin to be 75% of new solution: 0.9∗4=0.75(4+w) --> w=0.8
Answer: E.
Answer: (E) 0.8
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 18 kmph, find the speed of the stream?
(A) 8 kmph
(B) 9 kmph
(C) 7 kmph
(D) 6 kmph
(E) 5 kmph
Rationale: The ratio of the times taken is 2:1.
The ratio of the speed of the boat in still water to the speed of the stream = (2+1)/(2-1) = 3/1 = 3:1
Speed of the stream = 18/3 = 6 kmph.
Answer: D
Answer: (D) 6 kmph
Question: 2 oranges, 3 bananas and 4 apples cost Rs.15 . 3 oranges 2 bananas 1 apple costs Rs 10. what is the cost of 3 oranges, 3 bananas and 3 apples?
(A) 15
(B) 16
(C) 17
(D) 18
(E) 19
Rationale: 2o+3b+4a=15 (1)
3o+2b+1a=10 (2)
add eq (1)&(2),
5o+5b+5a=25
o+b+a=5
3o+3b+3a=15rs
ANSWER:A
Answer: (A) 15
Question: The function g(y) is defined for integers y such that if y is even, g(y) = y/2 and if y is odd, g(y) = y + 5. Given that g(g(g(g(g(y))))) = 19, how many possible values for y would satisfy this equation?
(A) 1
(B) 5
(C) 7
(D) 8
(E) 11
Rationale: Let me define terms:
in g(y) = R
y is argument, R is result, g() is function,
in g(g(g(g(g(y))))), g1 is inner most, g5 is outermost for identification.
From definition of function g, we can deduce that:
If Result is even then two possibilities for argument = 1 Even 1 Odd
If Result is odd then one possibility for argument = 1 Even
Since final result = 19 = Odd
Possibilities:
g1:1 Even
g2: 1*(Even,Odd ) =1 Even 1 Odd
g3: 1*(Even,Odd) + 1 Even =2 Even 1 Odd
g4: 2*(Even, Odd) + 1 Even =3 Even 2 Odd
g5: 3*(Even, Odd) + 2 Even =5 Even 3 Odd = Total 8
Ans D it is!
Answer: (D) 8
Question: After his first semester in college, Thomas is applying for a scholarship that has a minimum Grade Point Average (GPA) requirement of 3.5. The point values of pertinent college grades are given in the table below. If Thomas took 2 courses, each with an equal weight for GPA calculations, and received two grades of A-, one grade of B+, and one grade of B, what is the lowest grade that Thomas could receive for his fifth class to qualify for the scholarship?
Point Values of Select Grades
Grade: A | A- | B+ | B | B- | C+ | C | C-
Value: 4 | 3.7 | 3.3 | 3 | 2.7 | 2.3 | 2 | 1.7
(A)  A
(B)  B+
(C)  B
(D)  B-
(E)  C+
Rationale: Grade: A | A- | B+ | B | B- | C+ | C | C-
Value: 4 |3.7|3.3|3| 2.7 | 2.3 | 2 | 1.7
7.4 + 3.3 + 3 + x = 3.5 * 5
x = 17.5 - 13.7 = 3.8
Grade A is required to qualify
Answer = B-
D
Answer: (D)  B-
Question: A train starts full of passengers at the first station it drops 1/3 of the passengers and takes 280 more at the second station it drops one half the new total and takes twelve more. On arriving at the third station it is found to have 242 passengers. Find the no of passengers in the beginning?
(A) 292
(B) 270
(C) 192
(D) 144
(E) 168
Rationale: Let no of passengers in the beginning be X
After first station no passengers=(X-X/3)+280=2X/3 +280
After second station no passengers =1/2(2X/3+280)+12
1/2(2X/3+280)+12=242
2X/3+280=2*230 = 460 - 280 = 180
2X/3=180
X=270. So the answer is option B) 270.
Answer: (B) 270
Question: A meeting has to be conducted with 4 managers. Find the number of ways in which the managers be selected from among 7 managers, if 2 managers will not attend the meeting together?
(A) 25
(B) 20
(C) 35
(D) 36
(E) 38
Rationale: we can either choose all 4 people from 5 manager who have no problems or choose 3 from the 5 and 1 from the 2 managers who have a problem sitting together
so 5C4 + (5C3 * 2C1)
this is 5 + 20=25
Answer : A
Answer: (A) 25
Question: On taking delivery of a consignment of eggs the market stall owner was furious to find that several were cracked. In fact, on counting them up in order to assess the damage he found that 72 were cracked, which was 12 per cent of the total consignment. How many eggs in total were in the consignment?
(A) 500
(B) 600
(C) 700
(D) 800
(E) 900
Rationale: Sol.
= 72 ÷ 12 × 100
= 600.
Answer :B
Answer: (B) 600
Question: The radius of the two circular fields is in the ratio 3: 5 the area of the first field is what percent less than the area of the second?
(A) 67%
(B) 62%
(C) 24%
(D) 64%
(E) 66%
Rationale: r = 3 πr2 = 9
r = 5 πr2 = 25
25 π – 16 π
100 ---- ? => 64%
Answer: D
Answer: (D) 64%
Question: There is a sequence such that each term is positive integer and each digit of the terms in the sequence has 3 to be ordered, what is the value W of 100th term?
(A) 126
(B) 192
(C) 232
(D) 252
(E) 342
Rationale: (1~99) 19, (100~199)  19, (200~299) 19. The 100th term should be 100-(19+19+19)=43th number. Hence, the correct answer W is 342. The correct answer is E.
Answer: (E) 342
Question: Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
(A) 19:4
(B) 19:2
(C) 19:8
(D) 19:5
(E) 19:6
Rationale: Explanation:
Quantity of alcohol in vessel P = 62.5/100 * 2 = 5/4 litres
Quantity of alcohol in vessel Q = 87.5/100 * 4 = 7/2 litres
Quantity of alcohol in the mixture formed = 5/4 + 7/2 = 19/4 = 4.75 litres
As 6 litres of mixture is formed, ratio of alcohol and water in the mixture formed = 4.75 : 1.25 = 19 : 5.
Answer: Option D
Answer: (D) 19:5
Question: Kunal bought a suitcase with 15% discount on the labelled price. He said the suitcase for Rs.2880 with 20% profit on the labelled price. At what price did he buy the suitcase?
(A) Rs.2040
(B) Rs.2400
(C) Rs.2604
(D) Rs.2640
(E) None
Rationale: Solution
Let the labelled price be Rs.x. Then, 120% of x = 2880
Therefore	x=(2880×100/120)
= 2400.
C.P = 85% of Rs.2400	= Rs(85/100x2400)
=Rs.2040.
Answer A
Answer: (A) Rs.2040
Question: The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8215 for a computer table, then what was the cost price of the computer table?
(A) 6727
(B) 6887
(C) 6728
(D) 6625
(E) 2871
Rationale: :
CP = SP * (100/(100 + profit%))
= 8215(100/124) = Rs. 6625.
Answer: D
Answer: (D) 6625
Question: How many of the positive factors of 36 are not factors of 72
(A) 0
(B) 3
(C) 4
(D) 5
(E) 1
Rationale: Factors of 36 - 1,2,3,4,6,9,12,18,36,
factors of 72 - 1,2,3,4,6,8,9,12,18,24,36,72,
Comparing both, we have no factors of 36 which are not factors of 72 - 0
Answer(A)
Answer: (A) 0
Question: A, B and C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 245, how much must C pay as his share of rent?
(A) 45
(B) 50
(C) 55
(D) 63
(E) none
Rationale: Sol.
A : B : C = 10 * 7 : 12 * 5 : 15 * 3 = 70 : 60 : 45 = 14 : 12 : 9.
âˆ´ Câ€™s rent = Rs. [245 * 9/35] = Rs. 63.
Answer D
Answer: (D) 63
Question: Find the missing figures :
?% of 25 = 20125
(A) 8.5
(B) 6.5
(C) 8.7
(D) 7.7
(E) 4.5
Rationale: (i)	Let x% of 25 = 2.125. Then , (x/100)*25 = 2.125
X = (2.125 * 4) = 8.5
Answer is A.
Answer: (A) 8.5
Question: Simplify: 250 x 250 - 100 x 100
(A) 761200
(B) 761400
(C) 52500
(D) 761500
(E) None of them
Rationale: (250)^2 - (100)^2 = (250 + 100) (250 - 100) = 350 x 150 = 52500.
Answer is C.
Answer: (C) 52500
Question: A trader has 70 kg of rice, a part of which he sells at 14% profit and rest at 6% loss. On the whole his loss is 4% . What is the quantity sold at 14% profit and that at 6% loss?
(A) 7 and 63 kg
(B) 10 and 40 kg
(C) 15 and 35 kg
(D) 20 and 30 kg
(E) 40 and 30 kg
Rationale: Alligation Method
I PART II PART
14 (x1) -6 (x2)
\ /
x
/ \
(x2-x) (x-x1)
2 18
1 9
Ratio of quantities sold at 14% profit and 6% loss = 1: 9
Quantity sold at 14% profit = 70/1+9 *1 = 7 kg
Quantity sold at 6% loss = 70/1+9 *9 = 63 kg
ANSWER:A
Answer: (A) 7 and 63 kg
Question: A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?
(A) 3
(B) 6
(C) 9
(D) 7
(E) 2
Rationale: M = 4
S = 2
US = 4 - 2 = 2
D = 6
T = 6/2 = 3
Answer:A
Answer: (A) 3
Question: The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
(A) 16
(B) 20
(C) 24
(D) 28
(E) 30
Rationale: Explanation:
20 + 24 + 8 * 2 = 60/2 = 30
E
Answer: (E) 30
Question: P is a prime number. If 6p is between 15 and 95, which of the following J can be a value of 7p + 2?
(A) 15
(B) J=79
(C) 121
(D) 65
(E) 21
Rationale: [3,5,7,11,13] are prime numbers that fits this equation 15< 6X <95. Afterwards subtract 2 from all the answer n see if it's divisible by 7. Therefore A and E are out. Leaves out with B C D.
B =11
C =17
D = 9
Only 11 is the set of prime numbers that fit between 15 and 95. Therefore 79 is the answer.B
Answer: (B) J=79
Question: In a lottery there are 100 prizes and 300 blanks. A lottery is drawn at random. What is the probability of getting a prize?
(A) 1/2
(B) 5/400
(C) 1/5
(D) 1/3
(E) 1/4
Rationale: total draws = prizes+blanks= 100+300=400
probability of getting a prize = 100/400 = 1/4
correct option is E
Answer: (E) 1/4
Question: A man buys Rs. 56 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
(A) s. 12
(B) s. 15
(C) s. 18
(D) s. 21
(E) s. 42
Rationale: Dividend on Rs. 56 = Rs.	9/100	x 56 =Rs.	5.04	.
Rs. 12 is an income on Rs. 100.
Rs.	5.04	is an income on Rs.100/12 x 5.04	= Rs. 42.
Answer: Option E
Answer: (E) s. 42
Question: An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 4 utility stocks, how many different combinations of 7 stocks are possible?
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(A) 12
(B) 19
(C) 360
(D) 580
(E) 720
Rationale: 5C3 * 4C2 * 4C2 = 10*6*6 = 360.
Answer: C.
Answer: (C) 360
Question: A can run 160 metre in 28 seconds and B in 32 seconds. By what distance A beat B?
(A) 38 metre
(B) 28 metre
(C) 20 metre
(D) 15 metre
(E) 28 metre
Rationale: Clearly, A beats B by 4 seconds
Now find out how much B will run in these 4 seconds
Speed of B = Distance/Time taken by B=160/32=5 m/s
Distance covered by B in 4 seconds = Speed Ã— time =5Ã—4=20 metre
i.e., A beat B by 20 metre
Answer is C
Answer: (C) 20 metre
Question: A train running at the speed of 30 km/hr crosses a pole in 6 sec. What is the length of the train?
(A) 20 m
(B) 70 m
(C) 50 m
(D) Cannot be determined
(E) None of these
Rationale: Speed = 30 * 5/18 = 25/3 m/sec
Length of the train = speed * time = 25/3 * 6 = 50 m
ANSWER:C
Answer: (C) 50 m
Question: x, y, a, and b are positive integers of Q. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Which of the following is NOT a possible value for y + b?
(A) 24
(B) 21
(C) 20
(D) 17
(E) 15
Rationale: x, y, a, and b are positive integers of Q. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Answer: E.
Answer: (E) 15