MU-NLPC/Calc-aqua_rat huggingface dataset:
John invested part of his savings into a investment X that earned a profit of 10% and the rest of the savings into an investment R that lost 15%. If John neither made a profit nor a loss, then what fraction of his savings was invested in investment X?
Pick:  A) a. 3/5  B) b.2/3  C) c.7/10  D) d.3/4  E) e.4/5

Solution: X(10) --- Net(0) --- R(-15) = -15/-10 = 3/2.   So, John invested 3/3+2= 
3/3+2 = 3
3/5 of his savings in investment X. a. 3/5ns (a. 3/5).
Answer: A
What is the total surface area in square meters of a rectangular solid whose length is 10 meters, width is 9 meters, and depth is 6 meters?
Pick one:
A) 400 m2  B) 404 m2  C) 408 m2  D) 401 m2  E) 412 m2

Solution: Surface Area of a cuboid = 2(lb+bh+lh) = 2(10*9+9*6+10*6)=2(90+54+60)=2*204= 
2*204 = 408
408 m2   Answer : 408 m2
Answer: C
An electric motor makes 3,000 revolutions per minutes. How many degrees does it rotate in one second?  Choose the correct answer:
A) 28,000 degrees / second	B) 58,000 degrees / second	C) 18,000 degrees / second	D) 38,000 degrees / second	E) 88,000 degrees / second

Solution: 3000 revolutions / minute   = 3000*360 degrees / 60 seconds   = 18,000 degrees / second   correct answer 18,000 degrees / second
Answer: C
The list price of an article is Rs.70. A customer pays Rs.61.74 for it. He was given two successive discounts, one of them being 10%. The other discount is?	Choose the correct choice from the following answers:
A) 8%
B) 7%
C) 10%
D) 2%
E) 4%

Solution: Explanation:   70*(90/100)*((100-x)/100) = 61.74   x = 2%   Option 2%
Answer: D
Find the area of circle whose radius is 5m?
Choose the most appropriate option:
A) 78.57 B) 81.54 C) 71.77 D) 72.88 E) 72.98

Solution: 22/7 * 5 * 5   = 78.57   78.57nswer:78.57
Answer: A
A rectangular-shaped carpet that measures x feet by y feet is priced at $33. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet) Answers.
A) xy/297 B) 11xy/3 C) 3xy/11 D) 297/(xy) E) 297xy

Solution: The area of the carpet in feet is xy.   The area in square yards is xy / 9.   The price per square yard is 33 / (xy/9) = 297/(xy).   The answer is 297/(xy).
Answer: D
Find the number of ways in which 3 different beads can be arranged to form a necklace.  Choices.
A) 30 B) 20 C) 1 D) 60 E) 80

Solution: Since in forming a necklace clockwise and anticlockwise arrangements are not different, therefore,3 beads can be arranged to form a necklace in(3-1)! /2ways   = 2/2= 
2/2 = 1
1 way   Answer is 1
Answer: C
Of the 30 employees of a certain company, twice as many are in the sales department as are in all of the other departments combined. What is the number of employees in the sales department?
Answers:  A) 15  B) 20  C) 30  D) 40  E) 45

Solution: This is ratio problem solving question.   I will prefer to use RMV box.   R M V   Sales 2 10 20   Other 1 10 10   Total 3 10 30   Answer is 20. i.e 20
Answer: B
If y is 80% greater than x, than x is what % less than y?	Choose the most appropriate option.
A) 20	B) 25	C) 33 1/3	D) 44 4/9	E) 80

Solution: Let x = 100   So y = 180   We want percentage change.   So, (100-180)/180   = -44.44%   = 44 4/9% lesser than y.   Hence option (44 4/9).
Answer: D
Look at this series: 26, 24, 20, 18, 14, __What number should come next?  Pick one:
A) 10 B) 12 C) 13 D) 17 E) 15

Solution: This series is alternatively subtracted first 2 is subtracted, then 4 is subtracted then 2, and so on.   Answer is option 12 (12)
Answer: B
If x^2 = y^3 , where x and y are non negative and non zero integers, what is the greatest possible value of x and y from options below? Choose the correct choice:  A) x=27 , y=7  B) x=27, y=9  C) x=25, y=5  D) x=9, y=3  E) x=121, y=11

Solution: A. x=27 y=7 729 = 343 wrong   B. x=27, y=9 729 = 729 right   C. x=25, y=5 625 = 125 wrong   D. x=9, y =3 81 = 27 wrong   E. x=121, y =11 14641 = 1331 wrong   answer is x=27, y=9.
Answer: B
A mixture of 70 liters of wine and water contains 10% water. How much water must be added to make water 12 ½% of the total mixture?	Choices:
A) 7 B) 8 C) 4 D) 2 E) 9

Solution: 70 * (10/100)= 
70 * (10/100) = 7
7   Wine Water   87 1/2% 12 1/2%   87 1/2% ------- 63   12 1/2% -------?=> 9-7= 
9-7 = 2
2   Answer: 2
Answer: D
In a sample of patients at an animal hospital, 30 percent are cats and 60 percent are not dogs. What fraction of those patients who are not cats are dogs?
Pick one.
A) 1/7  B) 1/3  C) 2/5  D) 3/5  E) 4/7

Solution: Given :60% are not dogs, so 40% are dogs.   Cats are 30% so 70% are not cats.   Question is dogs to not cats=40/70 = 4/7   Answer is 4/7
Answer: E
Tough and Tricky questions: Decimals.
The value of x is derived by summing a, b, and c and then rounding the result to the tenths place. The value of y is derived by first rounding a, b, and c to the tenths place and then summing the resulting values. If a = 5.45, b = 3.05, and c = 3.76, what is y – x? Choose the correct choice from the following answers.
A) -0.1	B) 0.4	C) 0.05	D) 0.1	E) 0

Solution: To find x, we first sum a, b, and c, then round to the tenths place. 5.45 + 3.05 + 3.76 = 12.26, which rounds to 12.2.   To find y, we first round a, b, and c to the tenths place and them sum them. so 5.4 + 3.0 + 3.8 = 12.2.   We are looking for y - x, which gives us  12.2 - 12.2= 
 12.2 - 12.2 = 0
0, or answer choice 0.
Answer: E
A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 350 m long platform? Choose the most appropriate option:
A) 37 min  B) 55 min  C) 47 min  D) 67 min  E) 45 min

Solution: C   47 min   Let the length of the train be x m.   When a train crosses an electric pole, the distance covered is its own length.   So, x = 12 * 36 * 5 /18= 
12 * 36 * 5 /18 = 120
120 m.   Time taken to cross the platform= (120 +350)/ 36 * 5/18 = 47 min.
Answer: C
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 can have to pack and distribute?
Choose the correct choice from the following.
A) 25  B) 37  C) 54  D) 65  E) 50

Solution: Explanation : . The required number will be obtained by taking LCM of 2, 3 and 4 and adding 1 into it. The number so obtained is 25.   25nswer 25
Answer: A
In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:  Select:
A) 20m  B) 25m  C) 22.5m  D) 9m  E) None of these

Solution: Explanation:   Distance covered by B in 9 sec. =(100/45 x 9)m = 20m   A beats B by 20 metres.   20mnswer: 20m
Answer: A
A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?	Choose the correct choice:
A) 7 B) 6 C) 8 D) 2 E) 4

Solution: Speed of train relative to man = 60 + 6= 
60 + 6 = 66
66 km/hr.= 66 * 5/18 = 55/3 m/sec.   Time taken to pass the men = 110 * 3/55= 
110 * 3/55 = 6
6 sec.   Answer6
Answer: B
Two trains leave the train station at the same time. One train, on the blue line, heads east- while the other, on the red line, heads west. If the train on the blue line averages 40km/hr and the other train averages 40 km/hr- how long will it take for the trains to be 100 Km apart?  Choose the correct choice.
A) 2 hours	B) 2.25 hours	C) 1 hour	D) 1.25 hours	E) Not enough information

Solution: Each train is averaging 40 Km/Hour in an opposite direction. After 1 hour, they will be 80 Km apart, and after 1.25 hours, they will be 100 Km apart. (80*1.25=100)   Answer is 1.25 hours
Answer: D
Elvin's monthly telephone bill is the sum of the charge for the calls he made during the month and a fixed monthly charge for Internet service. Elvin's total telephone bill for January was $46 and Elvin's total telephone bill for February was 76$. If Elvin's charge for the calls he made in February was twice the charge for the calls he made in January, what is Elvin's fixed monthly charge for Internet service?
Choose the correct choice from the following options.
A) $5	B) $10	C) $14	D) $16	E) $28

Solution: Bill = Fixed Charge + Charge of Calls made   in Jan, Bill = Fixed Charge(Let, y) + Charge of calls made in Jan (Let, x) = $46   in Feb, Bill = Fixed Charge (Let, y) + Charge of calls made in Feb (Then, 2x) = $76   i.e. x+y = 46   and 2x+y = 76   Take the difference if two equations   i.e. (2x+y) - (x+y) = 76 - 46   i.e. x = 30   i.e. Fixed Monthly Charge, y = 16   Answer: Option   $16
Answer: D
A and B walk around a circular track. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. If they start at 8 a.m. from the same point in opposite directions, how many times shall they cross each other before 8.30 a.m.?	Choose the correct choice.
A) 5	B) 6	C) 7	D) 8	E) 2

Solution: Relative speed = Speed of A + Speed of B (? they walk in opposite directions)   = 2 + 3= 
2 + 3 = 5
5 rounds per hour=> They cross each other 5 times in 1 hour SO 2 times in 1/2 hour   Time duration from 8 am to 8.30 am = 0.5 hour   Hence they cross each other 2 times before 8.30 am   Answer is 2
Answer: E
The ratio of the ages of three people is 4:6:7. Eight years ago, the sum of their ages was 78. Find their present ages.  Choose one:	A) 12,18,21	B) 16,24,28	C) 20,30,35	D) 24,36,42	E) 28,42,49

Solution: Let the present ages be 4x, 6x, 7x.   (4x-8) + (6x-8) + (7x-8) = 78   17x = 102   x = 6   Their present ages are 24, 36, and 42.   The answer is 24,36,42.
Answer: D
When a number is first increased by 20% and then reduced by 20%, The number is:
Choose the correct answer:	A) Does not change	B) Decreases by 4%	C) Increases by 4%	D) None of these	E) Cannot be determined

Solution: Explanation:   Formula = AFTER INCREASED 20%*AFTER REDUCED 20%/TOTAL 100%   = 120*80/100 = 94 %   = Decreases by 4%   Answer: Option Decreases by 4%
Answer: B
The L.C.M. of 2 numbers is 48. The numbers are in the ratio 2:3. Find their sum?	Pick one: A) 36 B) 40 C) 48 D) 32 E) 56

Solution: Let the numbers be 2x and 3x   L.C.M. = 6x   6x = 48   x = 8   The numbers are = 16 and 24   Required sum = 16+24= 
16+24 = 40
40   Answer is 40
Answer: B
If T is an integer greater than 6, which of the following must be divisible by 3? Choose the correct choice:
A) T(T+1)T-4)  B) N(N+2)(N-1)  C) N(N+3)(N-5)  D) N(N+4)(N-2)  E) N(N+5)(N-6)

Solution: Now take T = 3k , T = 3k+1 T = 3k+2..put in all the choices. If by putting all the values of T we get it is divisible by 3, then it is correct answer choice.   A is correct. It will hardy take 10 sec per choice as we have to consider only 3k+1 and 3k+2.
Answer: A
The length of a room is 5.5 m and width is 3.75 m. What is the cost of paying the floor by slabs at the rate of $400 per sq. metre. Options:	A) $8250	B) $8350	C) $8650	D) $8450	E) $8500

Solution: Area =5.5×3.75 sq. metre.   Cost for 1 sq. metre. = $400   Hence, total cost   =5.5×3.75×400= $8250   $8250
Answer: A
A and B invests Rs.2000 and Rs.4000 in a business. After 8 months, A withdraws half of his capital and B withdraws three-fourth of his capital. In what ratio should they share the profits at the end of the year?	Pick one
A) 8:9 B) 5:9 C) 7:9 D) 4:9 E) 3:7

Solution: A : 5:9   (2000*8)+(1000*4) : (4000*8)+(1000*4)   20000 : 36000   5 : 9   Answer: 5:9
Answer: B
A certain business school has 500 students, and the law school at the same university has 800 students. Among these students, there are 30 sibling pairs consisting of 1 business student and 1 law student. If 1 student is selected at random from both schools, what is the probability that a sibling pair is selected?	Choose the correct choice from the following answers: A) 3/40000 B) 3/20000 C) 3/4000 D) 9/400 E) 6/130

Solution: probability of selecting 1 student from Harvard's Business School---1/500   probability of selecting 1 student from Harvard's Law School---------1/800   probability that these two students are siblings----(1/500 * 1/800)   since there are 30 siblings, hence (1/500 * 1/800)*30.   3/40000   3/40000nswer:3/40000
Answer: A
A and B participate in a 5000 m bicycle race which is being run on a circular track of 500 m. If the speed of A and B are 20 m/s and 10 m/s respectively, what is the distance covered by A when he passes B for
the seventh time ?  Pick:
A) 2500
B) 2800
C) 4000 m
D) Situation is not possible
E) None of these

Solution: Track length = 500 m   Speed of A and B are 20m/s and 10 m/s respectively   Time taken by them to meet = length/ relative speed = 500/(20-10) 50 sec.   Time taken to meet for the 7th time = 7 *50= 
7 *50 = 350
350 sec ……..(1)   Total duration of race= total legth of race/ speed   = 500/20 = 250 sec ……..(2)   From (1) and (2) we can find out that 7th time meeting is not possible.   Answer: Situation is not possible
Answer: D
The function f(K) represents the number of ways that prime numbers can be uniquely summed to form a certain number K such that K = a + b + c + d… where those summed variables are each prime and a ≤ b ≤ c ≤ d ... For instance f(8) = 3 and the unique ways are 2 + 2 + 2 + 2 and 2 + 3 + 3 and 3 + 5. What is f(12)? Options:
A) 4
B) 5
C) 6
D) 7
E) 8

Solution: Lets start with 2 and check whether sum of two primes is primes is even.   1) 2(6 times)   2) 2(3 times) + 3(2 times)   3) 2(2 times) + 3 + 5   4) 2 + 3 + 7   5) 2 + 5 + 5   6) 3(4 times)   7) 5 + 7   Answer: 7
Answer: D
Average age of students of an adult school is 44 years. 120 new students whose average age is 32 years joined the school. As a result the average age is decreased by 4 years. Find the number of students of the school after joining of the new students.
Choose the correct choice from the following choices.
A) 1200  B) 180  C) 360  D) 240  E) None of these

Solution: Explanation :   Let the original no. of students be x.   According to situation, 44x + 120*32 = (x + 120)36 ⇒ x = 60   So, Required no. of students after joining the new students   = x + 120 = 180   Answer : 180
Answer: B
A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 7000?  Pick one:
A) s. 4991
B) s. 5991
C) s. 6001
D) s. 6991
E) s. 7991

Solution: total fr 5 mnths=(6435+6927+6855+7230+6562)= 
(6435+6927+6855+7230+6562) = 34_009
Rs34009.   Reqd.sale=Rs.[(7000*6)-34009]   = Rs.(42000-34009)   = Rs.7991.   ANSWs. 7991R:s. 7991
Answer: E
If X is invested in a bank at a rate of simple interest of y% p.a. for two years, then the interest earned is 600. if X is invested at y% p.a., for two years when the interest is compounded annually, the interest is 615. What is the value of X?  Choose the correct choice from the following:	A) 8000	B) 6000	C) 5000	D) 4000	E) 3000

Solution: Simple way to solve this question is to use options.   From SI, we know that X*y=30,000.   Now, put the value of X = 6000, we will have y = 5%   To calculate CI,   Now, we know 1st year Amount= 6000+5% of 6000= 6300.   2nd year, Amount = 6300 + 5% of 6300 =6615   We can see after 2 years Interest = 6615-6000= 
6615-6000 = 615
615. hence, it satisfies the question. Hence 6000 is the correct answer
Answer: B
Find the third proportional to 10 and 30? Select the correct option:
A) 10	B) 60	C) 80	D) 90	E) 20

Solution: Formula = Third proportional = (b × b)/a   A = 10 and B = 30   (30 x 30)/ 10 = 900/10= 
900/10 = 90
90   90
Answer: D
A woman has $99999 in her savings account. What is the least amount of money (in whole number of dollars) that she must add to her account if she wants to split this money evenly among her nine children?  Choose the correct choice: A) 2 B) 1 C) 0 D) 3 E) 4

Solution: To find the least amount the woman should add to her saving account to split the money evenly among her 9 children,   she needs to make the total divisible by 9   Simply add the individual digits of the total = 9+9+9+9+9= 
9+9+9+9+9 = 45
45   45 divided by 9= 5 so answer is 0   Correct Option : 3
Answer: D
Four of the following five parts numbered (a), (b), (c), (d) and (e) are exactly equal. The number of the part which is not equal to the other four parts is your answer.
Pick.
A) 75 × 8 ÷ 6	B) 98 ÷ 2.5 + 15.2 × 4	C) √225 – 5 × 2(2)	D) 76 × 1.5 – 5.5 × 2.6	E) 48 × 1.2 + 127.2 ÷ 3

Solution: Check all options one by one.   (a) 75×8/6=100   (b) 98⁄2.5 + (15.2 × 4) = 100   (c) (15 × 8) – (5 × 4) = 100   (d) (76 × 1.5) – (5.5 × 2.6) = 99.7   (e) (48 × 1.2) + 127.2⁄3 = 100   Answer 76 × 1.5 – 5.5 × 2.6
Answer: D
Baby Isabel plays with blocks. Each block is 5.6 inches tall. She has a collection of 38 blocks. If she could stack all of the blocks up one on top of the other, how many inches tall would her tower of blocks be?
Choose the correct answer:
A) 212.8" B) 90.8" C) 206.2" D) 120" E) 151.7"

Solution: 5.6"*38=212.8". 212.8"nswer is 212.8".5.6 *38= 
5.6 *38 = 212.8
212.8". 212.8"nswer is 212.8".
Answer: A
The sum of the ages of 5 children born at the intervals of years each is 50 years. What is the age of the youngest child?  Options.
A) 6 years	B) 8 years	C) 10 years	D) 12 years	E) 14 years

Solution: Let the ages of the children be x, (x + 2), (x + 4), (x + 6) and (x +8) years.   Then, x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 50   5x = 30 => x = 6.   Age of youngest child = x = 6 years.   6 yearsNSWER:6 years
Answer: A
A sum of money placed at compound interest doubles itself in 4 years. In how many years will it amount to 8 times?  Choose the correct option:
A) 10 years
B) 8 years
C) 6 years
D) 12 years
E) 13 years

Solution: Explanation:   Let the sum be Rs.1 which becomes Rs.2 after 4 years   ⇒ 2 = 1(1 + R/100 )4 --- (equation 1)   Let the sum of Rs.1 becomes Rs.8 after n years   ⇒ 8 = 1(1 + R/100)n --- (equation 2)   ⇒ (2)3 = 1(1+R/100)n   ⇒ [1(1+R/100)4]3 = 1(1+R/100)n (âˆµ replaced 2 with the value in equation 1) (1 + R/100)12 = (1+R/100)n   ⇒ n = 12   i.e., the sum amounts to 8 times in 12 years   Answer: Option 12 years
Answer: D
The scoring system in a certain football competition goes as follows: 3 points for victory, 1 point for a draw, and 0 points for defeat. Each team plays 20 matches. If a team scored 5 points after 5 games, what is the least number of the remaining matches it has to win to reach the 40-point mark by the end of the tournament? Choose the correct choice from the following:	A) 6	B) 7	C) 8	D) 9	E) 10

Solution: To get 40 points as end of season we need another 35 points or more from remaining 15 matches:   Option A= 6*3+9*1= 
6*3+9*1 = 27
27   Option B=7*3 + 8*1= 
7*3 + 8*1 = 29
29   Option C=8*3+7*1= 
8*3+7*1 = 31
31   Option D=9*3+6*1= 
9*3+6*1 = 33
33   Option 10=10*3+5*1= 
10*3+5*1 = 35
35   hence option 10-10
Answer: E
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one? Select.
A) 12 B) 24 C) 48 D) 60 E) 50

Solution: Answer: Option C   Explanation:   Relative speed = 45 + 30= 
45 + 30 = 75
75 km/hr.   75 * 5/18= 125/6 m/sec.   Distance covered = 500 + 500= 
500 + 500 = 1_000
1000 m.   Required time= 1000 * 6/125= 
1000 * 6/125 = 48
48 sec.   ANSWER 48
Answer: C
A cistern which could be filled in 8 hours takes one hour more to be filled owing to a leak in its bottom. If the cistern is full in what time will the leak empty it?
Choose the correct choice
A) 76 hrs	B) 99 hrs	C) 55 hrs	D) 90 hrs	E) 40 hrs

Solution: 1/8 - 1/x = 1/10   => 40 hrs   Answer: 40 hrs
Answer: E
Which of the following represents the profit from the investment of x dollars at n percent compound annual interest for 5 years?  Choices
A) x (1+n/100)^5 - x  B) 4x (1+n/100)^4 - x  C) 6x (1+n/100)^6 - x  D) 2x (1+n/100)^2 - x  E) x (1+n/100)^7 - x

Solution: Amount after 5 years compounded yearly = x (1+n/100)^5   Thus profit = Final amount - original principle = x (1+n/100)^5 - x . x (1+n/100)^5 - xnswer : x (1+n/100)^5 - x
Answer: A
If 15 workers can build a wall in 48 hours, how many workers will be required to do the same work in 30 hours? Pick one:
A) 22
B) 24
C) 26
D) 25
E) 23

Solution: Let the number of workers employed to build the wall in 30 hours be y   48 * 15 = 30 * y   (48 *15)/30=y   y=24   Answer:24
Answer: B
Of the 120 passengers on Flight 750, 55% are female. 10% of the passengers sit in first class, and the rest of the passengers sit in coach class. If 1/3 of the passengers in first class are male, how many females are there in coach class?	Options
A) 44
B) 48
C) 50
D) 52
E) 58

Solution: Number of passengers on flight = 120   Number of female passengers= .5*120 = 66   Number of passengers in first class = (10/100)* 120= 
(10/100)* 120 = 12
12   Number of passengers in coach class= (90/100)* 120= 
(90/100)* 120 = 108
108   Number of male passengers in first class= 1/3 * 12= 
1/3 * 12 = 4
4   Number of female passengers in first class= 12-4= 
12-4 = 8
8   Number of female passengers in coach class= 66 - 8= 
66 - 8 = 58
58   Answer 58
Answer: E
In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together.
Pick one.
A) 720
B) 740
C) 760
D) 770
E) 790

Solution: Option '720'
Answer: A
How many factors of 30 are odd numbers greater than 1?  Choose the correct choice from the following choices.
A) 3 B) 3 C) 5 D) 6 E) 7

Solution: prime factors of 30 are 2^1,3^1,5^1   total divisors = (power if a prime factor+1)   total no. of odd factors(3,5,) = (1+1)(1+1) =4   since we need odd divisors other than 1 =>4-1= 
4-1 = 3
3 odd divisors   3 is the answer
Answer: B
3 + 33 + 333 + 3.33 = ? Choose the correct option.
A) 324.56	B) 372.33	C) 436	D) 633	E) 662

Solution: 3   + 33   + 333   + 3.33   ------   372.33   ------   Correct Option is 372.33
Answer: B
17 times a number gives 187. The number is Choose the correct choice
A) 11 B) 12 C) 13.2 D) None E) Cannot be determined

Solution: Explanation:   Let the number be 'N'   17×N=187⇒N=11   Correct Option: 11
Answer: A
Find the odd man out. 2, 4, 6, 12, 19, 28
Choose one:
A) 12
B) 19
C) 1
D) 3
E) 19

Solution: 19 is an odd number.All other given numbers are even   Answer : Option 19
Answer: B
Large amounts of cheques are processed by using	Choose the correct choice from the following options:
A) kilobytI  B) kilobyt2  C) kilobyte  D) kilobytK  E) kilobytW

Solution: Answer: Option 'kilobyte'
Answer: C
If 2 persons can do 2 times of a particular work in 2 days, then, 5 persons can do 5 times of that work in? Choose the correct option:	A) 2 days	B) 3 days	C) 5 days	D) 7 days	E) 9 days

Solution: That is, 1 person can do one time of the work in 2 days.   Therefore, 5 persons can do 5 times work in the same 2 days itself.   2 days)
Answer: A
In Sam's hanger there are 23 boxes, 16 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 5 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale?	Choose the correct answer
A) 1.
B) 2
C) 3
D) 4
E) 5

Solution: Total boxes = 23   Filled with toys = 16   Filled with appliance = 7   Total boxes for sale = 8   Toy boxes for sale = 5   Appliance boxes for sale = 3   Appliance boxes not for sale = 7 - 3= 
7 - 3 = 4
4   Correct Option: 4
Answer: D
How many different arrangements of letters are possible if three letters are chosen from the letters A through G and the letters E and A must be among the letters selected? Choose the correct choice from the following options:
A) 28
B) 30
C) 32
D) 34
E) 36

Solution: Besides A and E, there are 5 letters and we can choose one of them.   5C1 = 5   Three letters can be arranged in 3! ways.   The number of arrangements is 5*3! = 30   The answer is 30.
Answer: B
If (a-6)(b-2) =0, which of the following must be true ?
I. a=6 and b=2
II. if a is not 6, then b=2
III. if a=6, then b is not=2	Choose the correct choice from the following answers:
A) I only B) II only C) III only D) I and II E) II and III

Solution: (a-6)(b-2)=0   So either a=6 or b=2 or both. It is 'or' not 'and', so it could be any of the three possibilities. Thus I and III are not necessarily true.   The answer is II only.
Answer: B