MU-NLPC/Calc-aqua_rat huggingface dataset:
We have boxes colored either red or blue. In each blue box there is a fixed number of blueberries. In each red box there is a fixed number of strawberries. If we dispose of one blue box for one additional red box, the total number of berries would increase by 15, and the difference between the total number of strawberries and the total number of blueberries would increase by 87. Each blue box contains how many blueberries?	Choose the correct choice from the following answers:
A) 28	B) 30	C) 32	D) 34	E) 36

Solution: Let x be the number of blueberries in each blue box.   Then there are x+15 strawberries in each red box.   x+(x+15)=87   x = 36   The answer is 36.
Answer: E
The units digit of (35)^(87) + (93)^(53) is:	Pick.
A) 2
B) 4
C) 6
D) 8
E) 0

Solution: The units digit of powers of 3, cycles in a group of 4: {3, 9, 7, 1}   53 has the form 4k+1, so the units digit of 93^53 is 3.   The units digit of powers of 5 is always 5.   3+5= 
3+5 = 8
8, so the units digit is 8.   The answer is 8.
Answer: D
A train covers a distance of 1000 km in 10hrs. Find the speed of the train?
Answers:
A) 100km/hr
B) 120km/hr
C) 150km/hr
D) 50km/hr
E) 75km/hr

Solution: Speed = 1000/10= 
1000/10 = 100
100km/hr   100km/hrnswer is 100km/hr
Answer: A
The distance light travels in one year is approximately 5,870,000,000,000 miles. the distance light in 100 year is Pick one
A) 587 x 10power9 miles B) 587 x 10power12 miles C) 587 x 10power8 miles D) 587 x 10power-12 miles E) 587 x 10power-9 miles

Solution: the distance of the light travels in 100 years is   5,870,000,000,000 x 100 miles= 587,000,000,000,000=587 x 10 power12 miles, correct answer will be (587 x 10power12 miles)
Answer: B
The breath of a rectangular landscape is 8 times its length. There is a playground in it whose area is 3200 square mtr & which is 1/9 rd of the total landscape. What is the breath of the landscape?  Choose the correct choice from the following options
A) 420
B) 430
C) 280
D) 360
E) 480

Solution: Sol. 8x * x =9* 3200   x = 60   Length = 8* 60= 
8* 60 = 480
480   480
Answer: E
If Re.50 amounts to Rs.250 over a period of 30 years. What is the rate of simple interest?	Choose the correct choice from the following answers
A) 13.99%	B) 13.66%	C) 13.33%	D) 13.44%	E) 13.55%

Solution: 200 = (50*30*R)/100   R = 13.33%   Answer:13.33%
Answer: C
A train 440 meters long is running with a speed of 45 kmph. The time taken by it to cross a tunnel 180 meters long is?	Choose the correct choice from the following options.
A) 40.6 sec B) 41.6 sec C) 42.6 sec D) 49.6 sec E) 44.6 sec

Solution: 49.6 sec = 440 + 180= 
440 + 180 = 620
620   S= 45 * 5/18= 
45 * 5/18 = 25/2 = around 12.5
12.5 mps   T= 620/12.5= 
620/12.5 = 49.6
49.6 sec   ANSWER:49.6 sec
Answer: D
The price of commodity X increases by 45 cents every year, while the price of commodity Y increases by 20 cents every year. In 2001, the price of commodity X was $5.20 and the price of commodity Y was $7.30. In which year will the price of commodity X be 10 cents less than the price of commodity Y?
Choose the correct choice from the following:
A) 2008
B) 2009
C) 2010
D) 2011
E) 2012

Solution: The price of commodity X increases 25 cents each year relative to commodity Y.   The price difference is $2.10 and commodity X needs to be 10 cents less than commodity Y.   $2.00 / 25 cents = 8 years   The answer is   2001 + 8= 
  2001 + 8 = 2_009
2009.   The answer is 2009.
Answer: B
If there are 80 red and blue marbles in a jar, and the ratio of red to blue marbles is 2:3, what is the probability that, drawing twice, you will select two red marbles if you return the marbles after each draw? Pick
A) 1/25	B) 2/25	C) 3/25	D) 4/25	E) 21/25

Solution: 30 red and blue marbles in a jar, and the ratio of red to blue marbles is 2:3   So, 5x=80 ---> x=16   Red marbles = 2*x = 2*16= 
2*16 = 32
32   Blue marbles= 3*x = 3*16= 
3*16 = 48
48   Prob to select a red marble= 32/80 = 2/5   Prob to select 2 red marbles with replacement = 2/5*2*5= 
2/5*2*5 = 4
4/25   Hence, answer will be 4/25.
Answer: D
John makes $45 a week from his job. He earns a raise andnow makes $75 a week. What is the % increase?
Choose the correct choice from the following answers.
A) 16% B) 46.66% C) 44.44% D) 36.98% E) 17%

Solution: Increase = (20/45)*100 = (4/9)*100 = 44.44%.   44.44%
Answer: C
If the price of gasoline increases by 25% and a driver intends to spend only 20% more on gasoline, by how much percent should the driver reduce the quantity of gasoline that he buys?	Choose the correct choice:	A) 2%	B) 3%	C) 4%	D) 5%	E) 6%

Solution: Let x be the amount of gasoline the driver buys originally.   Let y be the new amount of gasoline the driver should buy.   Let P be the original price per liter.   (1.25*P)y = 1.2(P*x)   y = (1.2/1.25)= 
(1.2/1.25) = 0.96
0.96x which is a reduction of 4%.   The answer is 4%.
Answer: C
A man walks at the speed of 5 km/hr and runs at the speed of 10 km/hr. How much time will the man require to cover the distance of 28 km, if he covers half (first 14 km) of his journey walking and half of his journey running ?	Choose the correct choice from the following answers
A) 3.2 hrs B) 5.2 hrs C) 4.2 hrs D) 8.2 hrs E) 9.2 hrs

Solution: 4.2 hrs   4.2 hrs   Total time required = 14/5+14/10   28+14/10 = 4.2 hrs
Answer: C
A and B invest money in the ratio 6:7 and they has loss of Rs.7800 at the end of year. what is the share of loss of B? Choose the most appropriate option:
A) Rs.4200	B) Rs.4300	C) Rs.4400	D) Rs.4500	E) None of the above

Solution: et ratio of Rs.4200 and B be 6x & 7x   so net loss = 6x+7x= 7800   x=600   Rs.4200=6x=6(600)=3600   B= 7x=7(600)=4200   so, B= 4200   Rs.4200NSWER:Rs.4200
Answer: A
Maddie has 15 apples, if she give 8 to mike, how many does she have left? Choose the correct choice from the following answers:
A) 1
B) 7
C) 3
D) 4
E) 5

Solution: 15-8= 
15-8 = 7
7   B. 7
Answer: B
During a certain two-week period, 72 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 6 times as many dramas as action movies. If no other movies were rented during that two-week period and there were A action movies rented, then how many comedies, in terms of A, were rented during that two-week period? Options:
A) 1/20 A
B) 10 A
C) 15 A
D) 18 A
E) 23 A

Solution: Movies: 72 % comedies. 28 % remaining genre.   Now in this 28 %, there are only 2 categories. Action movies and Drama Movies.   If Action = x; Drama movies = 6x. Total 7x.   7x = 28; x = 4   Action movies: 4 %   Drama movies: 24 %   we can say that out of 100z,:   comedies: 72z   action: 4z   drama: 24 z   Now action movies were A   This means:   A = 4z.   z = (A/4)   Comedies: 72z = 72 * (A/4)   18 A   18 A is the answer.
Answer: D
Ashok and Pyarelal invested money together in a business and share a capital of Ashok is 1/9 of that of Pyarelal.if the incur a loss of Rs 1200 then loss of Pyarelal?
Choose the correct option:
A) 600 B) 700 C) 1080 D) 900 E) 1000

Solution: Let the capital of Pyarelal be x, then capital of Ashok=x/9   So ratio of investment of Pyarelal and Ashok = x : x/9 =9x : x   Hence out of the total loss of 1200, loss of Pyarelal= 1200*9x/10x=1080   ANSWER:10801200*9 /10= 
1200*9 /10 = 1_080
1080   ANSWER:1080
Answer: C
The profit earned by selling an article for 832 is equal to the loss incurred when the same article is sold for 448. What should be the sale price of the article for making 50 per cent profit?	Choose the correct answer:
A) 960  B) 1060  C) 1,200  D) 920  E) None of these

Solution: Let the profit or loss be x   and 832 – x = 448 + x or, x = 384⁄2 = 192   \ Cost price of the article = 832 – x = 448 + x = 640   \ SP of the article = 640 × 150⁄100 = 960   960nswer 960
Answer: A
Twenty percent of Country Y's yearly exports come from fruit exports. One-sixth of all fruit exports from Country Y are orange exports. If country Y generates $2.5 million from its orange exports, how much money does it generate from its yearly total of exports?	Choose the correct choice:	A) $21.25m	B) $75m	C) $106.25m	D) $127.5m	E) $153m

Solution: 2/10*1/6*(total) = 2.5   1/30*(total) = 2.5   (total) = 2.5*30= 
2.5*30 = 75
75   Answer: $75m.
Answer: B
8 chess players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played?
Choose the most appropriate option:
A) 66
B) 52
C) 58
D) 55
E) 56

Solution: Though 2*(8C2) is the correct approcah to do this, but for people like me who find Perm, Comb n Prob a nightmare, an easy approach can be used.   The first guy has to play 2 matches with the rest of 7, so he'll play 14 matches.   Similarly, second guy has to play with the rest of 6 as his 2 games with the first guy are already played. So he plays 12 matches.   This continues like this and the total matches are 14+12+10...+2   14+12+...+2 = 2(7+6+...+1) = 2((7*8)/2) = 7*8= 
7*8 = 56
56.   ANSW56R:56
Answer: E
Set A = {1, 2, 3, 4, 5, 6, e}
Which of the following possible values for e would cause Set A to have the smallest standard deviation?  Choose the correct choice from the following options:
A) 1
B) 2.5
C) 3
D) 3.5
E) 7

Solution: I agree. The mean of the set e 1,2,3,4,5,6 is 3.5 . Now if we add one extra number to the set, in order for the standard deviation to be minimum, that number must be as close as possible to the original set (1,2,3,4,5,6). Therefore we have to choose the number closest to 3,5 from the options we have, leaving D as the best choice.   Answer 3.5.
Answer: D
7 people sit at the round table. In how many ways can we sit them so that Bob and Bill don't sit opposing each other?  Choose the most appropriate option.
A) 400
B) 420
C) 440
D) 460
E) 480

Solution: 7 People: Bob,Bill,Red,Blue,White,Pink,Purple   Round Table: T   7 Chairs: 1,2,3,4,5,6,7   Let chairs 1 and 4 be opposite each other;   Bob is sitting on 1 and Bill is sitting on 4;   The rest of the people on 2,3,5,6,7 - can rearrange themselves in 5! ways   Now, Bill and Bob swap their positions;   Bob is sitting on 4 and Bill is sitting on 1;   The rest of the people on 2,3,5,6,7 - can rearrange themselves in 5! ways   Thus total number of ways in which Bob and Bill are sitting opposite each other = 2*5! = 120*2= 
120*2 = 240
240   We have to find in how many ways they are NOT sitting opposite; subtract 240 from the total number of possible arrangements;   In circular permutation, Total number of arrangements of n people= (n-1)!   Here number of people = 7   Arrangements = (7-1)= 
(7-1) = 6
6!= 720   Number of ways Bob and Bill are NOT sitting opposite = 720-240= 
720-240 = 480
480.   Answer: 480
Answer: E
Johnny makes $6.75 per hour at his work. If he works 10 hours, how much money will he earn?
Options: A) $67.50 B) $54 C) $28.50 D) $12.50 E) $9.60

Solution: 6.75*10=67.50. $67.50nswer is $67.50.
Answer: A
Veena ranks 44rd from the top in a class of 182. What is her rank from the bottom if 22 students have failed the examination?  Choose the correct choice from the following answers
A) 88	B) 108	C) 110	D) 90	E) 117

Solution: total student=182   failed=22   paasd student=182-22= 
182-22 = 160
160   from bottom her rank is=160-44+1= 
160-44+1 = 117
117   ANSW117R:117
Answer: E
In a bag there are a certain number of black balls and blue balls. The probability of picking up exactly 1 blue ball when 2 balls are randomly drawn, is 1/2. Which of the following is the ratio of the number of black balls to blue balls in the bag  Select the correct option
A) 1:2	B) 1:4	C) 1:1	D) 1:5	E) 1:6

Solution: since the probability of drawing a blue ball out of two picks is 1/2.   the ratio of the blue ball to black balls should be 1:1   Answer : 1:1
Answer: C
In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?	Choose the correct answer.
A) 23676
B) 19766
C) 29172
D) 11750
E) 11267

Solution: Explanation:   200 + 130= 
200 + 130 = 330
330   800 - 330= 
800 - 330 = 470
470   200 ---- 5000   470 ---- ?=> 11750   Answer:11750
Answer: D
Vinay spends 30% of his salary on house rent and 55% of the remaining money on food and clothes. He saves the remaining amount. If he saves ?59724 yearly, how much amount does he spend on food and clothes per month ?	Select
A) 5316 B) 4792 C) 5817 D) 6080 E) 6083

Solution: Let his monthly salary be x.   House rent expenditure = 30/100 x = 3x/10   âˆ´ Remaining = 7x/10   6083xpense of food = 7x/10 x 55/100 = 77x/200   âˆ´ Remaining = 7x/10 - 77x/200   = 140x - 77x/200 = 63x/200   Monthly saving = 59724/12= 
59724/12 = 4_977
4977   âˆ´ 63x/200= 4977 = x = 4977 x 200/63 = 15800   6083xpenditure on food and clothes = 77x/200   = 6083
Answer: E
If x^2+(1/x^2)=6, x^4+(1/x^4)=?	Answers
A) 10 B) 11 C) 12 D) 34 E) 15

Solution: -> x^4+(1/x^4)=(x^2)^2+(1/x^2)^2=(x^2+1/x^2)^2-2x^2(1/x^2)=6^2-2=34.   Thus, the answer is 34.
Answer: D
If the length of a rectangle is doubled and its breadth is tripled, what is the percentage change in its area?	Select
A) 200% increase
B) 345% increase
C) 400% increase
D) 125% increase
E) 25% decrease

Solution: Length is halved.   i.e., length is increased by 200%   Breadth is tripled   i.e., breadth is increased by 200%   400% increasehange in area=(−200+200+(200×200)/100)%=400%   i.e., area is increased by 400%   ANSWER:400% increase
Answer: C
A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning?  Choose the most appropriate option:
A) 39  B) 88  C) 3  D) 7  E) 62

Solution: Let the average after 7th inning = x   Then average after 16th inning = x - 3   \inline \fn_jvn \therefore 16(x-3)+87 = 17x   \inline \fn_jvn \therefore x = 87 - 48= 
87 - 48 = 39
39   39nswer:39
Answer: A
A jar contains 3 red marbles, 7 green marbles and 10 white marbles. If a marble is drawn from the jar at random, what is the probability that this marble is white? Choose the correct choice.
A) 0.2	B) 0.3	C) 0.5	D) 0.7	E) 0.4

Solution: color frequency   red 3   green	7   white 10   Let P(E) be the event of getting white marble   P(E) = Frequency for white color / Total frequencies in the above table   = 10 / (3+7+10)   = 10 / 20= 
10 / 20 = 1/2 = around 0.5
0.5   My answer is (0.5)
Answer: C
Two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 42 kmph respectively. In how much time will they cross each other, if they are running in the same direction? Choose the correct choice from the following
A) 72 sec
B) 132 sec
C) 192 sec
D) 252 sec
E) None

Solution: Solution   Relative Speed	= (42 - 40 )= 
(42 - 40 ) = 2
2 kmph=(2 x 5 / 18)m/sec   = (10 / 18 ) m/sec   Time taken	= (350 x 18 / 10) sec   = 630 sec.   Answer None
Answer: E
Points A, B, C, and D, in that order, lie on a line. If AB = 3 cm, AC = 4 cm, and BD = 8 cm, what is CD, in centimeters?	Answers
A) 7	B) 2	C) 3	D) 4	E) 5

Solution: Putting a value to each point, lets use the following:   A - 0   B - 3 (AB = 3)   C - 4 (AC = 4)   D - 11 (BD = 8)   CD is 11-4= 
11-4 = 7
7.   7ns 7
Answer: A
Find the odd man out.
1, 9, 25, 4, 36, 65, 49
Choose the correct choice from the following choices:
A) 1
B) 25
C) 9
D) 65
E) 49

Solution: Explanation:   Each of the numbers except 65 is a perfect squares.   Answer: 65) 65
Answer: D
here are 6 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period? Choose the correct choice from the following answers
A) 2100
B) 1800
C) 1245
D) 3210
E) 4521

Solution: 5 subjects can be arranged in 6 periods in 6P5 ways.   Any of the 5 subjects can be organized in the remaining period (5C1 ways).   Two subjects are alike in each of the arrangement. So we need to divide by 2! to avoid overcounting.   Total number of arrangements   = 6P5× 5C1 /2!=1800   Ans: 1800
Answer: B
A train travels from New York to Chicago, a distance of approximately 540 miles, at an average rate of 60 miles per hour and arrives in Chicago at 6:00 in evening, Chicago time. At what hour in the morning, New York time, did the train depart for Chicago? (Note : Chicago time is one hour earlier than New York time) Choose one
A) 3:00  B) 4:00  C) 5:00  D) 6:00  E) 10:00

Solution: 6:00 in evening in Chicago = 7:00 in evening in New York. So, the train was in Chicago 7:00 in the evening, New York time.   The trip took T=D/R=540/60= 
540/60 = 9
9 hours. Therefore, the train depart from New York at 7:00 - 9 hours= 10:00 in the morning, New York time.   Answer: 10:00.
Answer: E
A pack of baseball cards consists of 12 outfielder cards and 8 infielder cards. What is the lowest number of outfielder cards that would have to be removed from the pack so that no more than 60 percent of the pack would be outfielder cards?
Choose the correct choice from the following options.
A) 4	B) 5	C) 6	D) 7	E) 8

Solution: let the number of O card to be removed=X   then remaning cards=12-X   now this 12-X cards should count less than 60% of toatal Ocards   12-X<.6*12   X>12-7.2   X>4.8   X=5   Ans 5
Answer: B
A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
Select:
A) 287 sec
B) 288 sec
C) 48 sec
D) 16 sec
E) 17 sec

Solution: D = 540 + 180= 
540 + 180 = 720
720   S= 54 * 5/18= 
54 * 5/18 = 15
15 mps   T= 720/15= 
720/15 = 48
48 sec   Answer: 48 sec
Answer: C
Given f(x) = 3x – 5, for what value of x does 2*[f(x)] + 2 = f(3x – 6) Choices
A) 0 B) 4 C) 5 D) 7 E) 13

Solution: Answer = 5 = 5   f(x) = 3x – 5   2*[f(x)] + 2 = f(3x – 6)   2(3x-5) + 2 = 3 (3x-6) - 5   6x - 8 = 9x - 23   x = 5
Answer: C
The 19th of September 1987 was a Saturday. If 1988 was a leap-year, what day of the week was the 21st of September 1990?	Choose the correct choice
A) Monday B) Tuesday C) Wednesday D) Thursday E) Friday

Solution: There are 365 days in an ordinary year and 366 days in a leap-year.   365 divided by 7 (a week period) yields a remainder of 1, thus the same date after an ordinary year would fall on the next day of a week;   366 divided by 7 (a week period) yields a remainder of 2, thus the same date after a leap-year would fall two days after in a week;   Thus 3 years, 1988, 1989 and 1990, will accumulate   2+1+1= 
  2+1+1 = 4
4 days, plus 2 days of difference between 19th and 21st, which gives total of 6 days of difference (6 days shift). Thus, 21st of September 1990 was Saturday+6 days=Friday.   Answer: Friday.
Answer: E
Last year, for every 100 million vehicles that travelled on a certain highway, 94 vehicles were involved in accidents. If 3 billion vehicles travelled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)  Choose the correct choice from the following answers: A) 288 B) 320 C) 2,820 D) 3,200 E) 28,800

Solution: To solve we will set up a proportion. We know that “100 million vehicles is to 94 accidents as 3 billion vehicles is to x accidents”. To express everything in terms of “millions”, we can use 3,000 million rather than 3 billion. 2,820reating a proportion we have:   100/94= 3,000/x   2,820ross multiplying gives us:   100x = 3,000 * 94   x = 30 * 94 = 2,820   2,820orrect answer is 2,820.
Answer: C
X is able to do a piece of work in 14 days and Y can do the same work in 20 days. If they can work together for 5 days, what is the fraction of work completed? Choose the correct choice from the following answers.
A) 15/28 B) 17/28 C) 13/28 D) 19/28 E) 11/28

Solution: Explanation :   Amount of work X can do in 1 day = 1/14   Amount of work Y can do in 1 day = 1/20   Amount of work X and Y can do in 1 day = 1/14+ 1/20= 17/140   Amount of work X and Y can together do in 5 days = 5 × (17/140) = 17/28   Answer : Option 17/28
Answer: B
If six persons sit in a row, then the probability that three particular persons are always together is ?  Pick:
A) 1/6 B) 1/0 C) 1/5 D) 1/4 E) 1/1

Solution: Six persons can be arranged in a row in 6! ways. Treat the three persons to sit together as one unit then there four persons and they can be arranged in 4! ways. Again three persons can be arranged among them selves in 3! ways. Favourable outcomes = 3!4! Required probability = 3!4!/6! = 1/5   Answer: 1/5
Answer: C
#p is defined as 2p+20 for any number p. What is p, if #(#(#p))=12?  Select the correct option
A) –16
B) –44
C) 10
D) 16
E) 18

Solution: #p = 2p+20 --->#(#p) = 2(2p+20)+20 = 4p+60 and thus #(4p+60) = 2(4p+60)+20 = 8p+140 = 12 ---> 8p= -128 ---> p = -16, –16 is the correct answer.
Answer: A
Two motor bikes cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower bike takes 1 hour more than the faster bike ?  Answers
A) 860 km  B) 870 km  C) 960 km  D) 260 km  E) 840 km

Solution: Explanation:   60(x + 1) = 64x   X = 15   60 x 16 = 960 km   Answer: 960 km
Answer: C
Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 1 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?
Choose the most appropriate option.
A) 40 gallons B) 100 gallons C) 120 gallons D) 180 gallons E) 130 gallons

Solution: Work done by the waste pipe in 1 minute = 1/15 - (1/20 + 1/24) = - 1/40   Volume of 1/40 part = 1 gallons\   Volume of whole = 1 * 40= 
1 * 40 = 40
40 gallons.   40 gallonsNSWER:40 gallons
Answer: A
A contractor is engaged for 30days on the condition thathe receives Rs.25 for each day he works &is fined Rs.7.50 for each day is absent. He gets Rs.620 in all. For how many days was he absent?	Choose one:
A) 8 B) 10 C) 15 D) 7 E) 4

Solution: 30 * 25= 
30 * 25 = 750
750   620   -----------   130   25 + 7.50= 
25 + 7.50 = 32.5
32.5   130/32.5= 
130/32.5 = 4
4   4
Answer: E
If the first day of a year (other than leap year) was Thursday, then which was the last day of that year?  Pick one:
A) Saturday	B) Thursday	C) Tuesday	D) Monday	E) None of these

Solution: Explanation :   Given that first day of a normal year was Thursday   Odd days of the mentioned year = 1 (Since it is an ordinary year)   Hence First day of the next year = (Thursday+ 1 Odd day) = Friday   Therefore, last day of the mentioned year = Thursday. Answer : Option Thursday
Answer: B
A sum of money lent out at S.I. amounts to Rs. 720 after 2 years and to Rs. 1020 after a further period of 5 years. The sum is? Choose the most appropriate option: A) 299 B) 600 C) 77 D) 266 E) 222

Solution: S.I for 5 years = (1020 - 720) = Rs. 300.   S.I. for 2 years = 300/5 * 2 = Rs. 120.   Principal = (720 - 120) = Rs. 600.   Answer: 600
Answer: B
Average of five consecutive even numbers is 35. Find the greatest number in these five numbers?  Pick one
A) 27 B) 29 C) 39 D) 42 E) 45

Solution: 39   Option '39'
Answer: C
The mean of 50 observations was 36. It was found later that an observation 28 was wrongly taken as 23. The corrected new mean is :	Choose the most appropriate option:
A) 36.0
B) 36.5
C) 36.1
D) 36.2
E) 36.8

Solution: Explanation:   Correct Sum = (36 * 50 + 28 - 23) = 1825.   36.1orrect mean = = 1805/50= 
1805/50 = 361/10 = around 36.1
36.1   Answer: 36.1) 36.1
Answer: C
There is 7 friends (A1, A2, A3....A7).If A1 have to have shake with all without repeat. How many handshakes possible? Pick one: A) 6 B) 21 C) 28 D) 7 E) 5

Solution: a1 with (a2, a3,a4,a5,a6,a7)   6 handshakes   6NSWER:6
Answer: A
A box measuring 27 inches long by 15 inches wide by 6 inches deep is to be filled entirely with identical cubes. No space is to be left unfilled. What is the smallest number of cubes that can accomplish this objective?  Pick.
A) 90
B) 180
C) 210
D) 240
E) 864

Solution: least number of cubes will be required when the cubes that could fit in are biggest.   3 is the biggest number that could divide all three, 27, 15 and 6.   Thus side of cube must be 3, and total number of cubes = 27/3 * 15/3*6/3= 
27/3 * 15/3*6/3 = 90
90   90ns 90 it is.
Answer: A
If the least common subtraction of two prime numbers x and y is 10, where x < y , then the value of 2x + y is	Choose the correct choice from the following
A) 7
B) 9
C) 11
D) 21
E) 31

Solution: (x-y) = 10 and both x an y are prime.   The only values of x and y can be 7 and 17 (x = 7 and y = 17)   2x + y = 2*7 + 17= 
2*7 + 17 = 31
31   Correct Option: 31
Answer: E