mathewhe/aqua_rat huggingface dataset:
Question: 600 x 223 + 600 x 77 = ?
(A) 180000
(B) 138800
(C) 658560
(D) 116740
(E) None of them
Rationale: =600 x (223+77) (by distributive law)
=600 x 300
=180000
Answer is A
Answer: (A) 180000
Question: Find the ones digit of 73^352
(A) 1
(B) 5
(C) 6
(D) 7
(E) 9
Rationale: The units digit of 73^352 will be the same as the units digit of 3^352.
3^1=3 --> the units digit is 3;
3^2=9 --> the units digit is 9;
3^3=27 --> the units digit is 7;
3^4=81 --> the units digit is 1;
3^5=243 --> the units digit is 3 AGAIN;
...
So, as you can see the units digit repeats in blocks of 4: {3, 9, 7, 1}, {3, 9, 7, 1}, ... Now, since 352=(multiple of 4)+0, since 3 is an odd number, the units digit of 3^352 will be 1.
Answer: A.
Answer: (A) 1
Question: In a class, 30% of the students offered English, 20% offered Hindi and 10% offered both. If a student is selected at random, what is the probability that he has offered English and Hindi
(A) 2/5
(B) 1/5
(C) 3/5
(D) 6/5
(E) 7/5
Rationale: P(E)=30/100,
P(H)=20/100
P(E and H)=10/100
P(E or H)=3/10+2/10-1/10
=2/5
ANSWER A
Answer: (A) 2/5
Question: A rectangular wall is covered entirely with two kinds of decorative tiles: regular and jumbo. 1/3 of the tiles are jumbo tiles, which have a length three times that of regular tiles and have the same ratio of length to width as the regular tiles. If regular tiles cover 40 square feet of the wall, and no tiles overlap, what is the area of the entire wall?
(A) 160
(B) 220
(C) 360
(D) 440
(E) 560
Rationale: The number of jumbo tiles = x.
The number of regular tiles = 2x.
Assume the ratio of the dimensions of a regular tile is a:a --> area = a^2.
The dimensions of a jumbo tile is 3a:3a --> area = 9a^2.
The area of regular tiles = 2x*a^2 = 40.
The area of jumbo tiles = x*9a^2 = 4.5(2x*a^2 ) = 4.5*40 = 180.
Total area = 40 + 180 =220.
Answer: B.
Answer: (B) 220
Question: An IT company pays an average salary of $2000 for its 30 team leads and $5000 for it 2 managers. What is the average salary for the company?
(A) $12,00
(B) $4,000
(C) $3,000
(D) $2,187.50
(E) $15,000
Rationale: Number of team leads is 30
Their average salary is $2000
Managers of the company are 2
Their average salary is $5000
Total salary of team leads is 30*20,00=$60,000
Total salary of the managers is 2*5000=$10,000
Total salary for the company is 60,000+10,000=70,000
Average salary for the company is 70,000/30+2=$2,187.50
Answer is D
Answer: (D) $2,187.50
Question: If a, b, c, d, e and f are integers and (ab + cdef) < 0, then what is the maximum number S of integers that can be negative?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Rationale: Minimuum should be 1
Maximum should be 4:
1 out of a or b to make the multiplication negative
3 out of c, d, e or f to make the multiplication negative.
Negative+Negative<0
Answer:C
maximum will be 5..
you dont require both the multiplicatin to be negative for entire equation to be negative...
any one a or b can be negative to make ab negative and it can still be more(away from 0) than the multiplication of 4 other -ve numbers...
actually by writing minimum required as 1 out of 6,you are actually meaning S= 5 out of 6 also possible as you will see 5 or 1 will give you same equation..
ans D
Answer: (D) 5
Question: What is the greatest possible length which can be used to measure exactly the lengths 18 m, 40 m and 6 m 50cm?
(A) 20 cm
(B) 23 cm
(C) 25cm
(D) 10 cm
(E) 28 cm
Rationale: Required length = HCF of 1800 cm, 4000 cm, 650 cm = 50 cm
Answer is D
Answer: (D) 10 cm
Question: A gym offers 11 levels of fitness classes, and in an attempt to reward those who progress toward higher levels of fitness it charges $50 less per course for each level of fitness. Jessica completed all 11 levels by taking one course at each level, and her total cost was $4675. What is the cost V for a course at the gym's highest level?
(A) $175
(B) $245
(C) $425
(D) $675
(E) $725
Rationale: Let the cost of a course in level 1 = x
=> Cost of level 2 = x-(50*1)... and so on
=> cost of level 11 = x-(50*10) = x-500
=> Total cost V of 1 course in each of the 11 levels = x+(x-50)+(x-100)+.....+(x-500)
= 11x -50 (1+2+....+10)
= 11x - (50*55)
=> 11x-2750 = 4675
11x = 7425
x= 675
x-500=175
Answer A
Answer: (A) $175
Question: If X and Y are sets of integers, X # Y denotes the set of integers that belong to set X or set Y, but not both. If X consists of 8 integers, Y consists of 18 integers, and 6 of the integers are in both X and Y, then X # Y consists of how many integers?
(A) 6
(B) 14
(C) 22
(D) 30
(E) 174
Rationale: The number of integers that belong to set X ONLY is 8-6=2;
The number of integers that belong to set Y ONLY is 18-6=12;
The number of integers that belong to set X or set Y, but not both is 2+12=14.
Answer: B.
Answer: (B) 14
Question: In a certain game, you perform three tasks. You flip a quarter, and success would be heads. You roll a single die, and success would be a four. You pick a card from a full playing-card deck, and success would be picking a spades card. If any of these task are successful, then you win the game. What is the probability of winning?
(A) 1/48
(B) 5/16
(C) 11/16
(D) 11/12
(E) 23/48
Rationale: First lets get the overview
Event 1(A) = Flipping the quarter( Probability of both winning/loosing = 1/2)
Event 2(B) = Rolling a dice( Probability of winning = 1/6 ;Probability of loosing= 1 - 1\6 =5\6)
Event 3(C) = Drawing a card( SPADES) Probability of winning = 13/52=3/4 ;Probability of loosing= 1 - 3/4 =1/4)
So now as above we have three events A,BC.
1st method(This is lengthy method)
Possible cases in which it's a win( the highlighted green event is a win and red is loose.
1.ABC= 1/2*5/6*3/4
OR
2.ABC= 1/2*1/6*3/4
OR
3.ABC= 1/2*5/6*1/4
OR
4.ABC= 1/2*1/6*3/4
OR
5.ABC= 1/2*5/6*1/4
OR
6.ABC= 1/2*5/6*1/4
OR
7.ABC= 1/2*1/6*1/4
As we now OR means add
Adding up all of them we'll get the probability of winning ie 11/16
Answer : C
Answer: (C) 11/16
Question: Difference between the length &breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?? We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103?
(A) 2000 m^2
(B) 2340 m^2
(C) 2520 m^2
(D) 2556 m^2
(E) 2534 m^2
Rationale: Solving the two equations, we get: l = 63 and b = 40.
Area = (l x b) = (63 x 40) m2 = 2520 m^2
C
Answer: (C) 2520 m^2
Question: A can contains a mixture of liquids A and B is the ratio 7:5. When 18 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many liter of liquid A was contained by the can initially?
(A) 32
(B) 52
(C) 62
(D) 42
(E) 48
Rationale: Ci*Vi = Cf*Vf
(7/12)*(V1 - 18) = (7/16)*V1
(V1 - 18)/V1 = 3/4
18 accounts for the difference of 1 on ratio scale so Initial volume = V1 = 4*18 = 72 litres.
7/12 of the initial mixture was liquid A so liquid A was (7/12)*72 = 42 litres.
Answer : D
Answer: (D) 42
Question: A worker earns $20 on the first day and spends $15 on the second day. The worker earns $20 on the third day and spends $15 on the fourth day. If this pattern continues, on which day will the worker first reach a net total of $90?
(A) 28
(B) 29
(C) 31
(D) 34
(E) 36
Rationale: Every two days, the net total is $5.
After 28 days, the worker will have $70.
On day 29, the worker will receive $20 for a net total of $90.
The answer is B.
Answer: (B) 29
Question: I have a few sweets to be distributed. If I keep 2, 3 or 4 in a pack, I am left with one sweet. If I keep 5 in a pack, I am left with none. What is the minimum number of sweets I have to pack and distribute ?
(A) 25
(B) 37
(C) 54
(D) 53
(E) 65
Rationale: when divided 2,3,4 leaves remainder 1 and leaves remainder 0 while dividing 5
ANSWER:A
Answer: (A) 25
Question: The sequence of numbers a1, a2, a3, ..., an is defined by an = 1/n - 1/(n+2) for each integer n >= 1. What is the sum of the first 80 terms of this sequence?
(A) (1/81 +1/ 82)
(B) (1+1/2) + (1/81 +1/ 82)
(C) (1+1/2) / (1/81 +1/ 82)
(D) (1+1/2) + (1/81 -1/ 82)
(E) (1+1/2) – (1/81 +1/ 82)
Rationale: The answer would most certainly be[E]. But the question needs a slight modification.n>=1, since the answer does consider a1 under the sum.
The sequence is :
a1 = 1-1/3
a2 = 1/2 - 1/4
a3 = 1/3 - 1/5....
We can observe that the third term in the sequence cancels the negative term in the first. A similar approach can be seen on all the terms and we would be left with 1 + 1/2 from a1 and a2 along with -1/82 and -1/81 from a80 and a79 term which could not be cancelled.
Hence the sum = (1+1/2) – (1/81 +1/ 82)
Answer : E
Answer: (E) (1+1/2) – (1/81 +1/ 82)
Question: A train 2500 m long is running at the speed of 30 km / hr. Find the time taken by it to pass a man standing near the railway line in seconds
(A) 15 sec
(B) 16 sec
(C) 17 sec
(D) 18 sec
(E) 19 sec
Rationale: Explanation:
Speed of the train = (60 x 5/18m / sec = 50/3 m/ sec.
Distance moved in passing the standing man = 250 m.
Required time taken = 250/(50/3) = (250 Ã—(3/50)) sec =15 sec
Answer: Option A
Answer: (A) 15 sec
Question: Which number doesn't belong to the following sequence?
(A) 150
(B) 180
(C) 200
(D) 210
(E) 240
Rationale: All of the numbers are multiples of 2, 3, 5 and 10.
3 of the numbers are multiples of 20, but 2 are not.
Only one number isn't divisible by 30: 200.
Answer: C
Answer: (C) 200
Question: If the average of ten numbers is 30, then which of the following could be the standard deviation of the ten numbers?
I. 0
II. 30
III. 20
(A) I
(B) all three options
(C) II
(D) III
(E) I&II
Rationale: We know that we have 10 numbers (and they could be ANY values - including negatives and non-integers) and we know that the average of those numbers is 10. This is meant to say that there are an INFINITE number of possible sets of 10 numbers that fit this prompt.
IF all ten numbers were the same (meaning that we had ten 10s), then the SD would be 0. The more 'spread out' those ten numbers get, the higher the SD becomes. Since there's no limit to the 'spread', then there's no limit to what the SD could be either. Thus, it could be 10 or 20 or any other number.
B
Answer: (B) all three options
Question: The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A?
(A) 12
(B) 24
(C) C is elder than A
(D) Data inadequate
(E) None of these
Rationale: (A + B) - (B + C) = 12
A - C = 12
Answer: Option A
Answer: (A) 12
Question: A reduction of 15% in the price of wheat enables a house wife to obtain 3 kgs more for Rs.500, what is the reduced price for kg?
(A) Rs.10
(B) Rs.15
(C) Rs.20
(D) Rs.25
(E) Rs.30
Rationale: Explanation:
500*(15/100) = 75 ---- 3
? ---- 1 => Rs.25
Answer: D
Answer: (D) Rs.25
Question: In a sample of associates at a law firm, 30 percent are second-year associates, and 60 percent are not first-year associates. What percentage of the associates at the law firm have been there for more than two years?
(A) 10
(B) 20
(C) 30
(D) 40
(E) 50
Rationale: Let the sample be 100.
Given 60% are not first year i.e. there could be second year (x) and more than 2 years(y) possibility.
60% = (x) + y
Given 30% = second year (x)
club both , we get y = 30%.
Answer: option C is correct answer.
Answer: (C) 30
Question: Alice is trying to plan her budget. She knows that she has $4000 to spend this month. She needs to budget equal amounts on rent, food, utilities, savings, and spending money. She also wants to divide her spending money into four equal categories: Books, Clothes, Gifts, and Restaurants. How much money should Alice budget for Books this month?
(A) $200
(B) $150
(C) $100
(D) $75
(E) $50
Rationale: A. Spending money is 1/5 of the total money. Books is 1/4 of the spending money. 1/4 of 1/5 is 1/20. 1/20 of $4000 is $200, so the answer is A.
Answer: (A) $200
Question: The amount of water (in ml) that should be added to reduce 9 ml. Lotion, containing 50% alcohol, to a lotion containing 20% alcohol, is?
(A) 13.5
(B) 14.5
(C) 15
(D) 16
(E) 17.5
Rationale: 4.5 4.5
20% 80%
20% ----- 4.5
80% ------? => 18 - 4.5 = 13.5 ml
ANSWER:A
Answer: (A) 13.5
Question: By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
(A) 42 6/8%
(B) 42 8/7%
(C) 48 6/7%
(D) 42 6/7%
(E) 12 6/7%
Rationale: SP = CP + g
50 SP = 50 CP + 15 SP
35 SP = 50 CP
35 --- 15 CP gain
100 --- ? => 42 6/7%
Answer:D
Answer: (D) 42 6/7%
Question: A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour iS?
(A) 7/15
(B) 7/16
(C) 7/143
(D) 7/18
(E) 7/11
Rationale: Drawing two balls of same color from seven green balls can be done in ⁷C₂ ways.
Similarly from eight white balls two can be drawn in ⁸C₂ ways.
P = 7C2/15C2 + 8C2/15C2 = 7/15
Answer: A
Answer: (A) 7/15
Question: In a apartment, 30% of the people speak English, 20% speak Hindi and 10% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?
(A) 1/3
(B) 2/3
(C) 2/5
(D) 2/7
(E) 3/7
Rationale: P (E) = 30 / 100 = 3 / 10 , P (H) = 20 / 100 = 1 / 5 and P (E ∩ H) = 10 / 100 = 1 / 10
P (E or H) = P (E U H)
= P (E) + P (H) - P (E ∩ H)
= (3 / 10) + (1 / 5) - (1 / 10) = 4 / 10 = 2/5
C
Answer: (C) 2/5
Question: 20, 19, 17, ?, 10, 5
(A) 14
(B) 15
(C) 13
(D) 18
(E) 17
Rationale: A
14
The Pattern is - 1, - 2, -3, ...
Answer: (A) 14
Question: Of the 200 students at University XYZ majoring in one or more of the engineering disciplines, 150 are majoring in electrical and 150 are majoring in mechanical. If at least 30 of the students are not majoring in either electrical or mechanical, then the number of students majoring in both electrical and mechanical could be any number from
(A) 30 to 70
(B) 70 to 100
(C) 110 to 130
(D) 130 to 150
(E) 150 to 170
Rationale: if there are 150 students majoring in electrical then there must be 70 person not majoring electrical at all, since both of the student not majoring electrical and mechanical is at least 30, so the number of the student who are not majoring electrical but majoring mechanical will be at least 20.
if there are 150 students majoring in mechanical there must be 50 students who are not majoring mechanical at all, since the number of the student who are not majoring electrical but majoring mechanical will be at least 20, hence the number of students both majoring mechanical and electrical will be at least 70
so there must be at least 70 students who major in both
see the answers option the only possible answer is B !
Answer: (B) 70 to 100
Question: Express a speed of 720 kmph in meters per second?
(A) 120 mps
(B) 200 mps
(C) 181 mps
(D) 190 mps
(E) 125 mps
Rationale: 720 * 5/18 = 200 mps
Answer: B
Answer: (B) 200 mps
Question: 18 men can complete a piece of work in 20 days. In how many days can 12 men complete that piece of work?
(A) 23 days
(B) 30 days
(C) 22 days
(D) 29 days
(E) 20 days
Rationale: B
30 days
18 * 20 = 12 * x => x = 30 days
Answer: (B) 30 days
Question: 5 speakers gathered to deliver speeches on two topics. Even though 5 speeches were initially planned to be delivered, due to lack of time only 2 speeches were finally decided to be delivered. Topics are to be spoken in a specific order and the speeches differ with respect to speaker or topic. How many such two speeches are possible?
(A) 2
(B) 20
(C) 25
(D) 100
(E) 1024
Rationale: 1)there are 5 speeches in ONE topic and 5 in OTHER..
2)there is a specific order for topics, so
a) both the topics are to be spoken on- so ONE from each
b) the order does not matter since there is ONLY one specific order..
so 5C1∗5C1=5∗5=25
ANSWER:C
Answer: (C) 25
Question: Two kinds of Vodka are mixed in the ratio 1:2 and 2:1 and they are sold fetching the profit 10% and 25% respectively. If the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4/3 and 5/3 times respectively, then the mixture will fetch the profit of
(A) 18%
(B) 20%
(C) 25%
(D) 23%
(E) Cannot be determined
Rationale: Answer: C.
Answer: (C) 25%
Question: The ratio of the ages of Mini and Minakshi is 4 : 3. The sum of their ages is 28 years. The ratio of their ages after 8 years will be
(A) 4 : 3
(B) 12 : 11
(C) 7 : 4
(D) 6 : 5
(E) 6 : 11
Rationale: Let Mini’s age = 4x and Minakshi’s age = 3x
Then 4x + 3x = 28
x = 4
Mini’s age = 16 years
And Minakshi’s age = 12 years
Ratio of their ages after 8 years = (16 + 8) : (12 + 8) = 24 : 20 = 6 : 5
ANSWER:D
Answer: (D) 6 : 5
Question: The ratio of P's and Q's ages is 5 : 7. If the difference between the present age of Q and the age of P six years hence is 2 then what is the total of present ages of P and Q?
(A) 52 years
(B) 48 years
(C) 56 years
(D) Data inadequate
(E) None of these
Rationale: P⁄Q = 5⁄7
or, Q = 7⁄5P
Case I : Q – (P + 6) = 2
or, Q = P + 8
∴ 7⁄5P = P + 8
or, 7P = 5P + 40
∴ P = 40⁄2 = 20 and Q = 7⁄5 × 20 = 28
P + Q = 20 + 28 = 48
Case II : (P + 6) – Q = 2
or, P + 6 – 7⁄5P = 2
or, P = –10 and Q = 14
∴ P + Q = 10 + 14 = 24 years
Answer D
Answer: (D) Data inadequate
Question: David spends $320 buying his favorite dolls. If he buys only small Monkey dolls, which are $3 cheaper than the large Monkey dolls, he could buy 24 more dolls than if he were to buy only large Monkey dolls. How much does a large Monkey doll cost?
(A) $8
(B) $8.2
(C) $9
(D) $10
(E) $11
Rationale: If large doll costs $8, then he can buy 320/8 = 40 large dolls and 320/5 =64 small dolls.
Difference is 24, which is we wanted.
Answer A.
Answer: (A) $8
Question: How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
(A) 20
(B) 30
(C) 40
(D) 50
(E) 60
Rationale: Speed of train relative to man = 63 - 3 = 60 km/hr.
= 60 * 5/18 = 50/3 m/sec.
Time taken to pass the man = 500 * 3/50 = 30 sec.
Answer: Option B
Answer: (B) 30
Question: The mean daily profit made by a shopkeeper in a month of 30 days was Rs. 350. If the mean profit for the first fifteen days was Rs. 265, then the mean profit for the last 15 days would be
(A) Rs. 435
(B) Rs. 350
(C) Rs. 275
(D) Rs. 425
(E) None of these
Rationale: Average would be : 350 = (265 + x)/2
On solving, x = 435.
Answer: A
Answer: (A) Rs. 435
Question: Michelle deposited a certain sum of money in a savings account on July 1st, 2007. She earns an 6.4% interest compounded semiannually. The sum of money in the account on December 31st, 2009 is approximately what percent of the initial deposit?
(A) 117%
(B) 120%
(C) 121%
(D) 135%
(E) 140%
Rationale: Since Michelle earns 6.4% interest compounded semiannually, then she earns 3.2% interest every 6 months.
Now, the simple interest earned in 5 periods (30 months = 5*6 months) would be 3.2%*5=16%. But, since the interest iscompoundedevery 6 months, then there would be interest earned on interest (very small amount) thus the actual interest earned would be a little bit more than 16%, only answer choice A fits.
Answer: A
Answer: (A) 117%
Question: How many times in a day, are the hands of a clock in straight line but opposite in direction?
(A) 22
(B) 23
(C) 24
(D) 25
(E) 26
Rationale: Sol.
Tha hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours (Because between 5 and 7 they point in opposite directions at 6 o’clock only). So, in a day, the hands point in the opposite directions 22 times.
Answer A
Answer: (A) 22
Question: A basketball team composed of 12 players scored 100 points in a particular contest. If none of the individual players scored fewer than 7 points, what is the greatest number of points E that an individual player might have scored?
(A) 7
(B) 13
(C) 16
(D) 21
(E) 23
Rationale: General rule for such kind of problems:
to maximize one quantity, minimize the others;
to minimize one quantity, maximize the others.
Thus to maximize the number of points of one particular player minimize the number of points of all other 11 players.
Minimum number of points for a player is 7, so the minimum number of points of 11 players is 7*11=77.
Therefore, the maximum number of points E for 12th player is 100-77=23.
Answer: E.
Answer: (E) 23
Question: If there are 664,579 prime numbers among the first 10 million positive integers, approximately what percent of the first 10 million positive integers are prime numbers?
(A) 0.0066%
(B) 0.066%
(C) 0.66%
(D) 6.6%
(E) 66%
Rationale: 664,579 = (x/100) * 10^7;
664, 579 = x * 10^5
=> x = 664, 579/10^5
= 6.64579 ~ 6.6%
Ans is (D).
Answer: (D) 6.6%
Question: Twenty four men can do a work in 35 days. How many men are required to complete the work in 21 days?
(A) 39
(B) 67
(C) 44
(D) 40
(E) 20
Rationale: D
40
We have M1 D1 = M2 D2
So, 24 * 35 = M2 * 21 => M2 = 40.
Answer: (D) 40
Question: An athlete runs 150 metres race in 24 seconds. What is his speed?
(A) 27
(B) 38
(C) 37
(D) 30
(E) 28
Rationale: Speed=Distance/Time = 150/20 = 7.5 m/s = 7.5 * 18/5 = 27 km/hr
Answer :A
Answer: (A) 27
Question: The radius of a circular wheel is 1.75 m, how many revolutions will it make in traveling 1 km?
(A) 1000
(B) 817
(C) 278
(D) 268
(E) 280
Rationale: 2 * 22/7 * 1.75 * x
= 11000
x = 1000
Answer: A
Answer: (A) 1000
Question: Left shifting a number by 1 is always equivalent to multiplying it by 2.
(A) True
(B) False
(C) neither True nor a false
(D) none of the above
(E) Cannot be determined
Rationale: Explanation :
0001 => 1
0010 => 2
0100 => 4
1000 => 8
Answer : A
Answer: (A) True
Question: An outlet pipe can empty 2/3 rd of a cistern in 12 minutes. In 8 minutes, what part of the cistern will be emptied?
(A) 4/9
(B) 4/3
(C) 4/1
(D) 6/9
(E) 2/9
Rationale: 2/3 ---- 12
? ----- 8 ==> 4/9
Answer: A
Answer: (A) 4/9
Question: Isaac’s salary is reduced by 60% and then reduced salary is increased by 60%. Find ,how many percentage his present salary is less as compared to his previous salary?
(A) 36%
(B) 37%
(C) 38%
(D) 39%
(E) 40%
Rationale: 60*60
-------- = 36%
100
Answer: A
Answer: (A) 36%
Question: 14 different biology books and 8 different chemistry books lie on a shelf. In how many ways can a student pick 2 books of each type?
(A) 80
(B) 160
(C) 720
(D) 1100
(E) 2548
Rationale: No. of ways of picking 2 biology books(from 14 books) = 14c2 = (14*13)/2 = 91
No. of ways of picking 2 chemistry books(from 8 books) = 8c2 = (8*7)/2 = 28
Total ways of picking 2 books of each type = 91*28 =2548
(Option E)
Answer: (E) 2548
Question: A car going at 40 miles per hour set out on an 60-mile trip at 9:00 A.M. Exactly 10 minutes later, a second car left from the same place and followed the same route. How fast, in miles per hour, was the second car going if it caught up with the first car at 10:30 A.M.?
(A)  45
(B)  60
(C)  53
(D)  55
(E)  50
Rationale: Let Car A = car that starts at 9 AM
Car B = car that starts at 9:10 AM
Time for which car A travels at speed of 40 m per hour = 1.5 hours
Distance travelled by Car A = 40 *1.5 = 60 miles
Since Car B catches up Car A at 10:30 , time = 60 mins =1 hour
Speed of Car B = 60/(1) = 60 miles per hour
Answer B
Answer: (B)  60
Question: A man sells two articles for Rs.3600 each and he gains 30% on the first and loses 30% on the next. Find his total gain or loss?
(A) 9% loss
(B) 400
(C) 4000
(D) 324
(E) 200
Rationale: (30*30)/100 = 9%loss
Answer: A
Answer: (A) 9% loss
Question: Each of the following numbers has a remainder of 1 when divided by 7 except:
(A) 1
(B) 8
(C) 15
(D) 23
(E) 43
Rationale: It's D
23 = 7*3+2
Answer: (D) 23
Question: What is the smallest integer R greater than 1 that leaves a remainder of 1 when divided by any of the integers 6, 8, and 10?
(A) 21
(B) 41
(C) R=121
(D) 241
(E) 481
Rationale: Or u can just use the answer choices here. Since the answers are already arranged in ascending order, the first number which gives remainder R as 1 for all three is the correct answer. In the given question, the first number which gives a remainder of 1 for 6,8 and 10 is 121.C
Answer: (C) R=121
Question: If the length of the longest chord of a certain circle is 20, what is the radius of that certain circle?
(A) 2.5
(B) 5
(C) 10
(D) 15
(E) 20
Rationale: Longest chord of a circle is the diameter of the circle
diameter = 2 * radius
If diameter of the circle is given as 20 = 2 * 10
so radius of the circle =10
correct answer - C
Answer: (C) 10