mathewhe/aqua_rat huggingface dataset:
Question: The cost of raw material of a product increases by 30, the manufacturing cost increases by 20 and the selling price of the product increases by 60. The raw material and the manufacturing cost, originally, formed 40 and 60 of the total cost respectively. If the original profit was one-fourth the original manufacturing cost, find the approximation new profit percentage.
(A) 48.38%
(B) 54.68%
(C) 62.48%
(D) 42.36%
(E) None of these
Rationale: Explanation :
Let, the total initial cost of the product be Rs 100.
Manufacturing cost = Rs 60
Raw materials cost = Rs 40
Also, original selling price
=> Rs100+(60/4)= Rs 115.
New raw material cost
=>Rs 40+30% of 40= Rs 52.
New manufacturing cost
=>Rs 60+20% of 60= Rs 72
New cost of the product = Rs124
New selling price
=>115+60% of 115=Rs 184
New profit percentage
=>60/124×100
=>48.38%.
Answer : A
Answer: (A) 48.38%
Question: The students of a particular class were given two tests for evaluation. Twenty Five percent of the class cleared both the tests and forty five percent of the students were able to clear the first test.
You have to calculate the percentage of those students who passed the first test and were also able to pass the second test. How will you do it?
(A) 50 %
(B) 60 %
(C) 70 %
(D) 80 %
(E) 90 %
Rationale: Solution:
60%
Explanation:
In all such cases where you have to find out the probability of anything with an already given situation, you have to use the formula for conditional probability.
In this case, you have to find out the probability that the second test was passed by a student given that he passed the first test already.
Therefore, P(Second/First) = P (First and Second)/ P (First)
= 0.25/0.42
=0.60
=60 %
Answer B
Answer: (B) 60 %
Question: Find the number of square tiles to cover the floor of a room measuring 3 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
(A) 340
(B) 476
(C) 472
(D) 471
(E) 445
Rationale: 2 1/2 * 8 1/2 = 1/4 * 1/4 * x => x
= 340
Answer:A
Answer: (A) 340
Question: The ratio of boys to girls in Class A is 3 to 4. The ratio of boys to girls in Class B is 3 to 5. If the two classes were combined, the ratio of boys to girls in the combined class would be 17 to 22. If Class A has one more boy and two more girls than class B, how many girls are in Class A?
(A) 8
(B) 9
(C) 10
(D) 11
(E) 12
Rationale: Since it is given that the ratio of boys to girls in Class A is 3 to 4 - so we can quickly eliminate the answer choices which are not multiples of 4.
so ans can either be 8 0r 12.
With 8 as answer - no of girls = 8
With 12 as answer - no of girls = 12
Now Class A has one more boy and two more girls than class B and also the ratio of boys to girls in Class B is 4 to 5.
So we are looking for number of girls in B to be divisible by 5.
With 8 as answer -> Girls = 8-2 = 6. (Not possible)
With 12 as answer -> Girls = 12-2 = 5.
So, answer = 8. ( A)
Answer: (A) 8
Question: An investment T gained an interest payment of $250 each month when the annual interest rate was 8%, how much more should we invest annually if we want to gain 12% more per month with a new annual interest rate of 7.5% ?
(A) $9,360
(B) $9,100
(C) $8,250
(D) $7,300
(E) $7,150
Rationale: Answer is D : 7,300
An investment T gained an interest payment of $250 each month when the annual interest rate was 8%,Interest per annum with 8% interest rate is = 250* 12 = Principal * Interest Rate(8/100)
This gives Principal as 37,500$
For an revised interest of 12% more and new interest rate of 7.5% , ie. 250* 12 * 1.12 = Principal * Interest Rate (7.5/100)
This gives the new Principal as 44,800.
The question is how much more should we invest, so 44,800 - 37,500 = 7,300.D
Answer: (D) $7,300
Question: A side of beef lost 35 percent of its weight in processing. If the side of beef weighed 550 pounds after processing, how many pounds did it weigh before processing?
(A)  191
(B)  355
(C)  737
(D)  846
(E)  1,560
Rationale: Let weight of side of beef before processing = x
(65/100)*x = 550
=> x = (550 * 100)/65 = 846
Answer D
Answer: (D)  846
Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 6 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
(A) 9 a.m
(B) 10 a.m
(C) 12 a.m
(D) 02 a.m
(E) 05 a.m
Rationale: Suppose they meet x hours after 6 a.m.
Distance covered by A in x hours = 20x km.
Distance covered by B in (x - 1) hours = 25(x - 1) km.
Therefore 20x + 25(x - 1) = 110
45x = 135
x = 3.
So, they meet at 9 a.m.
Answer:A
Answer: (A) 9 a.m
Question: A began business with Rs.45000 and was joined afterwards by B with Rs.5400. When did B join if the profits at the end of the year were divided in the ratio of 2:1?
(A) 8
(B) 2
(C) 7
(D) 5
(E) 3
Rationale: 45*12 : 54*x = 2: 1
x = 5
12 -5 = 7
Answer: C
Answer: (C) 7
Question: There are 10 dozen mangoes in a box. If there are 36
such boxes, how many mangoes are there in all the
boxes together?
(A) 516
(B) 3096
(C) 6192
(D) 628
(E) 4320
Rationale: Number of mangoes = 12 dozens
= 12 × 10 = 120
∴ Number of mangoes in 36 boxes
= 36 × 120 = 4320
Answer E
Answer: (E) 4320
Question: A merchant has 100 Kg of Sugar, part of which he sells at 7 % profit and the rest at 17 % profit. He gains 10 % in the whole. How much is sold at 17 % profit ?
(A) Rs. 70
(B) Rs. 36
(C) Rs. 27
(D) Rs. 67.5
(E) Rs. 77.5
Rationale: et x kg is sold at 7% profit
so (100-x)kg is sold at 17% profit
so the equation is formed as
(x*7/100)+{(100-x)*17/100}=100*10/100
=> x=70
so 100-x=100-70=30 kg is sold at 17% profit.
ANSWER:E
Answer: (E) Rs. 77.5
Question: The ratio of sodium chloride to ammonium in 100 kg of mixed ammonium normally used by three chemists is 3: 14. The amount of sodium chloride to be added to 100 kg of mixed ammonium to make the ratio 9 :25 is
(A) 12 kg
(B) 6.625 kg
(C) 6.25 kg
(D) 6.35 kg
(E) 6.55 kg
Rationale: sodium chloride in 100 kg = 3/17 x 100 = 17.64 kg
ammonium in 100 kg = 14/17 x 100 = 82.35 kg
Now 82.35 is 25 parts out of (25 + 9) = 34 parts.
Hence 9 parts = 9/25 x 82.35 =29.64
Amount to be added = 29.64 - 17.64= 12 Kg
ANSWER:A
Answer: (A) 12 kg
Question: John had a stock of 1300 books in his bookshop. He sold 75 on Monday, 50 on Tuesday, 64 on Wednesday, 78 on Thursday and 135 on Friday. What percentage of the books were not sold?
(A) 50.4%
(B) 23.8%
(C) 66.5%
(D) 69.0%
(E) 43.5%
Rationale: Let N be the total number of books sold. Hence
N = 75 + 50 + 64 + 78 + 135 = 402
Let M be the books NOT sold
M = 1300 - N = 1300 - 402 = 898
Percentage
Books not sold / total number of books = 898/1300 = 0.69 = 69%
correct answer D
Answer: (D) 69.0%
Question: What is the difference between the local values of 8 in the number 58408?
(A) 2992
(B) 7992
(C) 2877
(D) 2077
(E) 6229
Rationale: Explanation:
8000 â€“ 8 = 7992
Answer:B
Answer: (B) 7992
Question: 1297 x 1297 = ?
(A) A)1682209
(B) B)1951601
(C) C)1951602
(D) D)1951603
(E) E)1951604
Rationale: 1297 x 1297	= (1297)2
= (1300 - 3)2
= (1300)2 + (3)2 - (2 x 1300 x 3)
= 1690000 + 9 - 7800
= 1690009 - 7800
= 1682209.
Answer:A
Answer: (A) A)1682209
Question: A dice is rolled 3 times. After each roll, the number on the top of the dice's face is noted. How many 3 digit numbers can be formed?
(A) 6
(B) 18
(C) 3
(D) 108
(E) 100
Rationale: A dice has 6 sides. First roll can give us any of the 6 sides on the top. So first number can be any of the six (1,2,3,4,5,6)
Similarly for the second roll, any of the six sides can turn up. So second number can be any of the six (1,2,3,4,5,6)
Same for the 3rd roll, 3rd number can be any of the six.
Total 3 digit numbers that can turn up are 6 * 6 * 6 = 108
Answer: D
Answer: (D) 108
Question: The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?
(A) 720
(B) 144
(C) 20
(D) 36
(E) 204
Rationale: The word MEADOWS has 7 letters of which 3 are vowels.
-V-V-V-
As the vowels have to occupy even places, they can be arranged in the 3 even places in 3! i.e., 6 ways. While the consonants can be arranged among themselves in the remaining 4 places in 4! i.e., 24 ways.
Hence the total ways are 24 * 6 = 144.
Answer: Option B
Answer: (B) 144
Question: A building contractor employs 20 male, 15 female and 5 child workers. To a male worker he pays Rs.25 per day, to a female worker Rs.20 per day and a child worker Rs.8 per day. The average wage per day paid by the contractor is?
(A) 12
(B) 21
(C) 87
(D) 16
(E) 12
Rationale: 20 15 5
25 20 8
500 + 300 + 40
= 840/40
= 21
Answer:B
Answer: (B) 21
Question: The banker's discount of a certain sum of money is Rs. 36 and the true discount on the same sum for the same time is Rs. 30. What is the sum due?
(A) Rs. 180
(B) Rs. 120
(C) Rs. 220
(D) Rs. 200
(E) None of these
Rationale: Explanation :
F = (BD ×TD)/(BD – TD)=(36×30)/(36–30)=(36×30)/6=36×5 = Rs. 180 Answer : Option A
Answer: (A) Rs. 180
Question: In a class, the average age of 30 boys is 13 years and the average of 20 girls is 12 years. what is the average age of the whole class?
(A) 12
(B) 12.6
(C) 13
(D) 13.34
(E) 14.5
Rationale: Total age of 50 students
(30X 13+20 X 12) = 630
Average = 630/50 = 12.6 Years
B
Answer: (B) 12.6
Question: If x, y, and z are consecutive positive integers greater than 1, not necessarily in that order, then which of the following is (are) true?
I. x > z
II. 2x+ 2y > 2z
III. yz > xz
IV. xy > y + z
(A)  I only
(B)  II only
(C)  II and III only
(D)  II and IV only
(E)  III and IV only
Rationale: we do not know the values or the relative values but that the three are consecutive..
so the max difference in any two number is 2 and min 1..
lets see the choices..
I. x > z...
we do not know the values or the relative values... need not be true..
II. 2x+ 2y > 2z or x+ y > z
we take the worst case that z is teh largest and x and y are lowest possible..... so 2+3>4.. 5>4.. always true
III. yz > xz
we do not know the values or the relative values between x and y..need not be true
IV. xy > y + z
xy-y>z or y(x-1)>z...
again lets take the worst scenario..
we take the worst case that z is the largest and x and y are lowest possible..... so (2-1)3>4.. 3>4.. not true
only ii is true
ans B
Answer: (B)  II only
Question: How many digits in the number '5279143' will be as far away from the beginning of the number as when the digits are rearranged in ascending order from left to right within the number?
(A) 8
(B) 1
(C) 4
(D) 6
(E) 09
Rationale: Answer: Option B
Answer: (B) 1
Question: The octahedron is an eight-faced geometric solid that can be thought of as two square-based pyramids with the squares glued together. All eight faces of the octahedron are congruent equilateral triangles. Given that an edge is where the side of one equilateral triangles is attached to the side of another equilateral triangle, how many edges does the octahedron have?
(A) 8
(B) 10
(C) 12
(D) 16
(E) 18
Rationale: Again, we will use the analogy of Earth’s geography to orient us. (This, in and of itself, is a useful trick to remember.) When we glue together the two square faces, call that the “square equator” of the octagon. That’s a square, so obviously it have four edges. The pyramid above that goes up to a “north pole vertex”, and four edges run down that vertex to the corners of the “square equator,” so that’s four more. Similarly and symmetrically, the upside-down pyramid underneath comes to a point at the “south pole vertex”, with an additional four edges running from that vertex to the “square equator.” That’s four edges on the “square equator”, four more above, four more below, for a total of twelve edges on the octahedron. Answer = C
Answer: (C) 12
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
(A) 45 km/hr
(B) 50 km/hr
(C) 54 km/hr
(D) 55 km/hr
(E) 60 km/hr
Rationale: Explanation:
Speed of the train relative to man = 125/10	m/sec
= 25/2	m/sec
= 25/2	x	18/5	km/hr
= 45 km/hr.
Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr.
x - 5 = 45 x = 50 km/hr.
ANSWER IS B
Answer: (B) 50 km/hr
Question: Divide $ 1162 among A, B, C in the ratio 35 : 28 : 20.
(A) 490,490,490
(B) 360,392,460
(C) 490,392,280
(D) 260,160,60
(E) 492,390,280
Rationale: Sum of ratio terms = (35 + 28 + 20) = 83.
A's share = $ (1162 x (35/83))= $ 490; B's share = $ (1162 x(28/83))= $. 392;
C's share = $ (1162 x (20/83))= $ 280.
ANSWER C 490,392,280
Answer: (C) 490,392,280
Question: In a ratio which is equal to 7:9, if the antecedent is 56, then the consequent is?
(A) 72
(B) 85
(C) 64
(D) 51
(E) 45
Rationale: We have 7/9 = 56/x
7x = 56*9
x = 72
consequent = 72
Answer is A
Answer: (A) 72
Question: The speed at which a man can row a boat in still water is 24 kmph. If he rows downstream, where the speed of current is 8 kmph, what time will he take to cover 40 metres?
(A) 4.49 seconds
(B) 8.89 seconds
(C) 26 seconds
(D) 12 seconds
(E) 16 seconds
Rationale: Speed of the boat downstream = 24+ 8
= 32 kmph
= 32 * 5/18 = 8.89 m/s
Hence time taken to cover 40 m = 40/8.89
= 4.49 seconds.
Answer:A
Answer: (A) 4.49 seconds
Question: Ramu rides his bike at an average speed of 45 km/hr and reaches his desitination in four hours. Somu covers the same distance in six hours. If Ramu covered his journey at an average speed which was 9 km/hr less and Somu covered his journey at an average speed which was 10 km/hr more, then the difference in their times taken to reach the destination would be (in minutes).
(A) 10 minutes
(B) 20 minutes
(C) 40 minutes
(D) 30 minutes
(E) 50 minutes
Rationale: D
30 minutes
Distance travelled by Ramu = 45 * 4 = 180 km
Somu travelled the same distance in 6 hours.
His speed = 180/6 = 30 km/hr
Hence in the conditional case, Ramu's speed = 45 - 9 = 36 km/hr and Somu's speed = 30 + 10 = 40km/hr.
Therefore travel time of Ramu and Somu would be 5 hours and 4.5 hours respectively. Hence difference in the time taken = 0.5 hours = 30 minutes.
Answer: (D) 30 minutes
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 72, then how old is B?
(A) 28 years
(B) 19 years
(C) 29 years
(D) 10 years
(E) 12 years
Rationale: Let C's age be x years.
Then, B's age = 2x years.
A's age = (2x + 2) years.
(2x + 2) + 2x + x = 72
5x = 70 => x = 14
Hence, B's age = 2x = 28 years.
Answer: A
Answer: (A) 28 years
Question: A man gains 60% by selling an article for a certain price. If he sells it at double the price, the percentage of profit will be.
(A) 130%
(B) 320%
(C) 150%
(D) 160%
(E) 170%
Rationale: Explanation:
Let the C.P. = x,
Then S.P. = (160/100)x = 8x/5
New S.P. = 2(8x/5) = 16x/5
Profit = 16x/5 - x = 16x/5
Profit% = (Profit/C.P.) * 100
=> (16x/5) * (1/x) * 100 = 320 %
Option B
Answer: (B) 320%
Question: William and Bonnie are opposing participants in an online auction. Each has a constant bidding strategy: William always bids up by raising $40 over any previous bid. Bonnie always bids up by doubling any previous bid. The auction begins with an initial bid by a third player, and progresses as follows: William bids up first, and Bonnie follows. William bids up again, and Bonnie follows and raises the bid to a final $600. What was the dollar value of the initial price?
(A) 58
(B) 57
(C) 35
(D) 89
(E) 90
Rationale: Initial bid = p$
William = p+40
Bonnie = 2p
The sequence is R---> B ---> R -----> B ---> 600
Thus per the sequence we have: p+40, 2(p+40), 2p+80+40 , 2(2p+120)
Now given, 2(2p+120) = 600----> p =90$. Thus E is the correct answer.
Answer: (E) 90
Question: Find out the wrong term in the series 2, 10, 20, 200, 4000, 6000
(A) 8000
(B) 80,000
(C) 6000
(D) 800,000
(E) 60,000
Rationale: Explanation:
Each number with in the series is the product of the two numbers that proceed it.
So, if (10 * 20 = 200) , then (200 * 4000 = 800000). 800,000 should replace 6000.
Answer: D) 800,000
Answer: (D) 800,000
Question: The average marks of a class of 30 students is 50 and that of another class of 50 students is 60. Find the average marks of all the students?
(A) 56.25
(B) 52.9
(C) 52.1
(D) 52.3
(E) 42.5
Rationale: Sum of the marks for the class of 30 students = 30 * 50 = 1500
Sum of the marks for the class of 50 students = 50 * 60 = 3000
Sum of the marks for the class of 80 students =
1500 + 3000 = 4500
Average marks of all the students = 4500/80
= 56.25
Answer:A
Answer: (A) 56.25
Question: A certain company reported that the revenue on sales increased 40 % from 2000 to 2003, and increased 80 % from 2000 to 2005. What was the approximate percent increase in revenue for this store from 2003 to 2005?
(A) 50 %
(B) 40 %
(C) 35 %
(D) 32 %
(E) 29 %
Rationale: Assume the revenue in 2000 to be 100. Then in 2003 it would be 140 and and in 2005 180, so from 2003 to 2005 it increased by (180-140)/140=40/140=2/7=~29%.
Answer: E.
Answer: (E) 29 %
Question: Ammu is 9 years older than Surya, and Jacob is four times older than Ammu. If S is Surya’s age and J is Jacob’s age, what is the relationship between S and J?
(A) J = 4S + 10
(B) J = 4S + 26
(C) J = 4S + 5
(D) J = 4S + 36
(E) J = 4S + 20
Rationale: A=S+9 and J=4A --> J=4S+36
Answer D
Answer: (D) J = 4S + 36
Question: Simplify: 1398 x 1398
(A) 1954404
(B) 1945404
(C) 1954044
(D) 1954440
(E) None of them
Rationale: = 1398 x 1398 - (1398)^2 = (1400 - 2)^2= (1400)^2 + (2)^2 - 2 x 1400 x 2
=1960000 + 4 - 5600 = 1954404.
Answer is A.
Answer: (A) 1954404
Question: A boat can travel with a speed of 15 km/hr in still water. If the speed of the stream is 5 km/hr. find the time taken by the boat to go 68 km downstream?
(A) 2 hours
(B) 3 hours
(C) 4 hours
(D) 3 hours 24 minutes
(E) None
Rationale: Solution
Speed Downstream	= (15 + 5) km/hr
= 20 km/hr.
Time taken to travel 68 km downstream	=(68 / 20)hrs
= 3 hrs 24 minutes.
Answer D
Answer: (D) 3 hours 24 minutes
Question: Priya, Harini and Kalyani's pets costs Rs. 6000, Rs. 4000 and Rs. 8000 respectively. An addition of Rs. 300 tax added to Harini's pet cost. The difference between the tax costs of Priya and Kalyani is?
(A) 180
(B) 150
(C) 250
(D) 500
(E) 140
Rationale: Pet costs of Priya, Harini and Kalyani is 6000 : 4000 : 8000 = 3 : 2 : 4
And also given that, tax of Harini's pet is Rs. 300
=> 2 parts out of 9 parts is Rs. 300
Now, required difference is 4 - 3 = 1 part
Required difference = 1/2 (300) = Rs. 150.Answer: B
Answer: (B) 150
Question: There are 10000 students in the particular school out of that 60% students are like science subject and of these , 20% are also like maths.If 20% of the students who like science and maths are girls students.then find out the number of girls student who like maths and science?
(A) 300
(B) 120
(C) 240
(D) 280
(E) 360
Rationale: total number of students=10000; Out of these 60% like science subject are =6000; Out of these 20% like maths subject=1200 ; out of these 1200 students 20% students are girls= 240
Answer: (C) 240
Question: A fair price shopkeeper takes 10% profit on his goods. He lost 70% goods during theft. His loss percent is:
(A) 72%
(B) 42%
(C) 32%
(D) 67%
(E) 22%
Rationale: Explanation:
Suppose he has 100 items. Let C.P. of each item be Re. 1.
Total cost = Rs. 100. Number of items left after theft = 30.
S.P. of each item = Rs. 1.10
Total sale = 1.10 * 30 = Rs. 33
Hence, loss % = 67/100 * 100 = 67%
Answer:D
Answer: (D) 67%
Question: In how many ways can the letters of the word ghLOMN be rearranged such that the upper case letters always appear together?
(A) 232
(B) 198
(C) 111
(D) 123
(E) 144
Rationale: ghLOMN
LOMN will come together as a group which can be arranged in 4!=24ways.
LOMN,g,h can be arranged in 3!=6 ways.
total possible arrangements = 6*24=144ways
ANSWER:E
Answer: (E) 144
Question: A circular rim 28 inches in a diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. If the smaller rim makes C revilutions per second, how many revilutions per minute does the larger rim makes in terms of C?
(A) a) 48pi/C
(B) b) 75m
(C) c) 48C
(D) d) 24C
(E) e) C/75
Rationale: distance covered by a circular wheel per sec* = 2*pi* r * n
where n is number of revolution
So we know the smaller rim makes C rev per sec so the inches coverd SR per sec = 28 * pi* C
the problem the say SR rotates the same number of inches as the LR.
The inches covered by the LR per sec = 35 * pi*Y
So equate both u will get Y = 4/5 C
Theis is in sec we need the answer in min so 48C
answer is C
Answer: (C) c) 48C
Question: Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
(A) 19 1/7 min
(B) 15 1/7 min
(C) 17 1/7 min
(D) 7 1/7 min
(E) 7 2/7 min
Rationale: 1/20 + 1/30 - 1/40 = 7/120
120/7 = 17 1/7
ANSWER:C
Answer: (C) 17 1/7 min
Question: A symmetric number of an another one is a number where the digit are reversed. For instance, 123 is the symmetric of one of 321. Thus the difference of a number and its symmetrical must be divisible by which of the following?
(A) 4
(B) 5
(C) 6
(D) 7
(E) 9
Rationale: Let's consider the example of three digit symmetric numbers {abc} and {cba}. Three digit number can be represented as: {abc}=100a+10b+c and {cba}=100c+10b+a. The difference would be:
{abc}-{cba}=100a+10b+c-(100c+10b+a)=99a-99c=99(a-c).
Two digit: {ab} and {ba}. {ab}-{ba}=10a+b-(10b+a)=9a-9b=9(a-b)
Hence the difference of two symmetric numbers (2 digit, 3 digit, ...) will always be divisible by 9.
Answer: E.
Answer: (E) 9
Question: 1-1/2 of 2 = ?
(A) 1
(B) 2
(C) ¾
(D) ¼
(E) none of these
Rationale: Ans will be 0
ANSWER:E
Answer: (E) none of these
Question: If x is an integer, then x(x - 1)(x - k) must be evenly divisible by three when k is any of the following values except
(A) -4
(B) -6
(C) -1
(D) 2
(E) 5
Rationale: if we put k=-1 we get:
X(x-1)(X+1) rearrange:(x-1)X(X+1)
so it looks like a sequenc,
if we assume that X =2 and put number from the answer then we get:
(x – 1)x(x – k)
k=5 =1.2.-3
k=2 =1.2.0
k=-1 =1.2.3
k=-4 =1.2.6
but when we put
k=-6 =1.2.8 not satisfied
so,answer is B
Answer: (B) -6
Question: There are 24 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?
(A) 39
(B) 40
(C) 51
(D) 58
(E) 63
Rationale: {Total} = {M} + {N} - {Both}
{Total} = 24 + 28 - 12 = 40.
Answer: B.
Answer: (B) 40
Question: Dacid obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
(A) 87
(B) 99
(C) 68
(D) 82
(E) 75
Rationale: Average = (76 + 65 + 82 + 67 + 85)/5
= 375/5
= 75.
Answer:E
Answer: (E) 75
Question: Five carpenters can individually complete a particular task in 3, 4, 5, and 7 hours, respectively. What is the maximum fraction of the task that can be completed in forty-five minutes if four of the carpenters work together at their respective rates ?
(A) 11/15
(B) 3/5
(C) 11/30
(D) 47/75
(E) 5/9
Rationale: Farmer A, B, C, and D
A's rate: 1/3 job/hour
B's rate: 1/4 job/hour
C's rate: 1/5 job/hour
D's rate: 1/7 job/hour
By intuition we know that the three fastest farmers are A B and C.
As such
(1/3 + 1/4 + 1/5)*(4/5) = ?
47/75 or (D)
Answer: (D) 47/75
Question: If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station?
(A) 4/5 km
(B) 9/5 km
(C) 4/8 km
(D) 4/9 km
(E) 4/1 km
Rationale: Explanation:
x/3 – x/4 = 4/60
x = 4/5 km
Answer: Option A
Answer: (A) 4/5 km
Question: What is x if x + 2y = 100 and y = 25?
(A) 25
(B) 50
(C) 75
(D) 100
(E) 4
Rationale: Substitute y by 25 in x + 2y = 100
x + 2(25) = 100
x + 50 = 100
If we substitute x by 50 in x + 50 = 100, we have 50 + 50 = 100. Hence
x = 50 correct answer B
Answer: (B) 50
Question: Determine a man’s present age if his present age is 125% of his age 10 years ago and 83.333% of his age 10 years from now.
(A) 76
(B) 97
(C) 50
(D) 99
(E) 82
Rationale: Explanation:
According to the question current age of the man is:
1.	125% of his age 10 years ago
2.	83.333% of his age 10 years from now
Let the current age of the man be x.
Therefore, equating the two equations generated:
125/100(x-10) = 250/3(x+10)
x = 50
ANSWER: C
Answer: (C) 50