MU-NLPC/Calc-aqua_rat huggingface dataset:
A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is: Choose the correct choice from the following choices
A) 65 kg	B) 62 kg	C) 120 kg	D) 60 kg	E) 50 kg

Solution: Volume of water displaced	= (3 x 2 x 0.01) m3   = 0.06 m3.   Mass of man	= Volume of water displaced x Density of water   = (0.06 x 1000) kg   = 60 kg.   ANSWER 60 kg
Answer: D
The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 3 years hence? Choose the correct choice from the following answers
A) 58	B) 59	C) 62	D) 66	E) 74

Solution: Explanation:   A + B = 60, A = 2B   2B + B = 60 => B = 20 then A = 40.   3 years, their ages will be 43 and 23.   Sum of their ages = 43 + 23= 
43 + 23 = 66
66.   66)
Answer: D
A “Sophie Germain” prime is any positive prime number p for which 2p + 1 is also prime. The product of all the possible units digits of Sophie Germain primes greater than 5 is
Choose the correct choice from the following answers.
A) 3	B) 7	C) 21	D) 27	E) 189

Solution: A prime number greater than 5 can have only the following four units digits: 1, 3, 7, or 9.   If the units digit of p is 1 then the units digit of 2p+1 would be 3, which is a possible units digit for a prime. For example consider p=11=prime --> 2p+1=23=prime;   If the units digit of p is 3 then the units digit of 2p+1 would be 7, which is a possible units digit for a prime. For example consider p=23=prime --> 2p+1=47=prime;   If the units digit of p is 7 then the units digit of 2p+1 would be 5, which is NOT a possible units digit for a prime;   If the units digit of p is 9 then the units digit of 2p+1 would be 9, which is a possible units digit for a prime. For example consider p=29=prime --> 2p+1=59=prime.   The product of all the possible units digits of Sophie Germain primes greater than 5 is  1*3*9= 
 1*3*9 = 27
27.   Answer: 27.
Answer: D
A train covers a distance of 12 km in 10 minutes.If it takes 6 seconds to pass a telegraph post,then the length of the train is  Choose one:  A) 90m  B) 100m  C) 120m  D) 140m  E) None

Solution: Speed=(12/10*60)km/hr=(72*5/18)m/sec=20m/sec   Length of the train=(Speed *Distance)   =(20*6)= 
(20*6) = 120
120m   Answer:Option 120m
Answer: C
Sachin is younger than Rahul by 7 years. If the ratio of their ages is 7:9, find the age of Sachin Answers:
A) 24.5
B) 24.8
C) 24.21
D) 24.88
E) 24.19

Solution: Explanation:   If Rahul age is x, then Sachin age is x - 7,   so,   9x - 63 = 7x   2x = 63   x = 31.5   So Sachin age is   31.5 - 7= 
  31.5 - 7 = 24.5
24.5   24.5nswer: 24.5) 24.5
Answer: A
Pipe P can fill a tank in 8 hours, pipe Q in 12 hours and pipe R in 20 hours. If all the pipes are open, in how many hours will the tank be filled? Pick: A) 2 hours B) 2.4 hours C) 3.8 hours D) 3.5 hours E) 4.5 hours

Solution: Explanation:   Part filled by (P + Q + R) in 1 hour = (1/8 + 1/12 + 1/20) = 31/120   All the three pipes together will fill the tank = 120/31 = 3.8 hours   ANSWER 3.8 hours
Answer: C
A car covers a distance of 648 km in 6 ½ hours. Find its speed?  Choose the correct choice from the following choices.
A) 104 kmph  B) 176 kmph  C) 108 kmph  D) 186 kmph  E) 268 kmph

Solution: 648/6= 
648/6 = 108
108 kmph   Answer:108 kmph
Answer: C
What is the sum of all even numbers from 1 to 701?  Choose the most appropriate option.
A) 122821  B) 281228  C) 281199  D) 122850  E) 128111

Solution: Explanation:   700/2= 
700/2 = 350
350   350 * 351= 
350 * 351 = 122_850
122850   Answer: 122850
Answer: D
Find the area of the quadrilateral of one of its diagonals is 50 cm and its off sets 10 cm and 8 cm?	Choose the correct choice
A) 189 cm2 B) 150 cm2 C) 127 cm2 D) 450 cm2 E) 187 cm2

Solution: 1/2 * 50(10 + 8)   = 450 cm2   Answer: 450 cm2
Answer: D
If r and s are positive integers and r-s=6, which of the following has the greatest value E?
Choose the correct choice from the following answers.
A) 2r B) 2s C) r +s D) 2r-s E) 2s-r

Solution: The simplest way to do this is to assume values.   We are told that r and s are positive integers E.   Also, r-s = 6 => r = 6+s   Hence r is 6 more than s.   Let s be 10. Hence r = 16.   Option 2r: 2r = 2*16= 
2*16 = 32
32   Option B: 2s= 2 * 10= 
2 * 10 = 20
20   Option C: r + s= 16 + 10= 
16 + 10 = 26
26   Option D: 2r - s= 2(16) - 10 = 32 - 10= 
32 - 10 = 22
22   Option E: 2s - r= 2(10) - 16 = 20 - 16= 
20 - 16 = 4
4   Hence option 2r is the greatest.
Answer: A
In the city of San Durango, 60 people own cats, dogs, or rabbits. If 34 people owned cats, 40 owned dogs, 10 owned rabbits, and 12 owned exactly two of the three types of pet, how many people owned all three?	Choose the correct choice from the following:
A) 2
B) 6
C) 8
D) 12
E) 32

Solution: Total = C + D + R - (CD + DR + CR) - 2CDR   60 = 34 + 40 + 10 - (12) - 2x   x = 6   So, answer will be 6
Answer: B
Find the odd man out. 187, 264, 306, 473, 682, 781	Choose the most appropriate option
A) 187	B) 306	C) 781	D) 682	E) 473

Solution: In all numbers except 306, the middle digit is the sum of other two digits.Answer is 306
Answer: B
A store reported total sales of $385 million for February of this year. If the total sales for the same month last year was $320 million, approximately what was the percent increase I in sales?
Select:
A) 2%  B) 17%  C) 20%  D) 65%  E) 83%

Solution: Last year's sales = $320 million;   This year's sales = $385 million;   Increase I = $65 million.   Now, 20% of $320 million is $64 million, which is very close to actual increase of $65 million.   Answer: 20%.
Answer: C
The average salary/head of all the workers in a workshop is Rs.700, if the average salary/head of 5 technician is Rs.800 and the average salary/head of the rest is Rs.650, the total no. of workers in the work-shop is ? Choose the correct choice from the following options
A) 18  B) 19  C) 17  D) 16  E) 15

Solution: Let the total number of workers be y.So sum of salary for all workers = sum of salary of 5 technician + sum of salary for other y -5 workers.5 x 800 + 650(y -5) = 700 y⇒ 4000 + 650y - 3250 = 700y⇒ 50y = 750∴ y = 15 So total number of workers = 15 15
Answer: E
Out of five consonants and three vowels, how many words can be made so that each word contains two consonants and three vowels?	Answers:  A) 800  B) 1000  C) 1200  D) 1600  E) 2400

Solution: 512002 x 312003 x 5! = 1200   The answer is 1200.
Answer: C
The ratio of expenditure and savings is 3 : 2 . If the income increases by 15% and the savings increases by 6% , then by how much percent should his expenditure increases?
Pick.
A) 22 B) 21 C) 88 D) 76 E) 29

Solution: Answer: 21) 21
Answer: B
Tough and Tricky questions: Exponents.
If a and b are positive integers and x = 6^a and y = 9^b, which of the following is a possible units digit of xy?
Choices.
A) 1  B) 6  C) 5  D) 7  E) 8

Solution: Only Units digit of X and Y contribute to the Units digit of XY.   Finding all values of X for positive values ofa   When,   a=1; X=6   a=2; X=36   a=3; X=216........ Units digit repeat in a cycle of 6,6,6,6......   Similarly, Finding all values ofYfor positive values ofb   When,   b=1; Y=9   b=2; Y= 81   b=3; Y= 729....... Units digit repeat in cycle of 9,1,9,1....   So, possible value of Units digit of XY can be found by considering all possibilities of Units digit of X and Y   When X=6 and Y=9: Units digit of XY = 4   When X=6 and Y=1: Units digit of XY = 6   When X=6 and Y=9: Units digit of XY = 4   When X=6 and Y=1: Units digit of XY = 6   Only two possibilities for Units digit of XY i.e. 4 and 6.   Only 6 is given in answer choices, therefore answer is 6
Answer: B
10 years ago, the average age of a family of 4 members was 24 years. Two children having been born (with age diference of 2 years), the present average age of the family is the same. The present age of the youngest child is : Choose the correct choice from the following answers:  A) 1  B) 2  C) 3  D) 4  E) 5

Solution: Explanation:   Total age of 4 members, 10 years ago = (24 x 4) years = 96 years.   Total age of 4 members now = [96 + (10 x 4)] years = 136 years.   Total age of 6 members now = (24 x 6) years = 144 years.   Sum of the ages of 2 children = (144 - 136)= 
(144 - 136) = 8
8 years.   Let the age of the younger child be x years.   Then, age of the elder child= (X + 2)years.   So, x + (x + 2) = 8 ⇔ x = 3   Age of younger child = 3 years. Answer: 3
Answer: C
A boat running downstream covers a distance of 22 km in 4 hours while for covering the same distance upstream, it takes 5 hours. What is the speed of the boat in still water?	Choose the correct choice from the following answers
A) 5 kmph
B) 4.95 kmph
C) 4.75 kmph
D) 4.65
E) None of these

Solution: Explanation :   Speed downstream = 22/4= 
22/4 = 11/2 = around 5.5
5.5 kmph   Speed upstream= 22/5= 
22/5 = 22/5 = around 4.4
4.4 kmph   Speed of the boat in still water= (5.5 + 4.4)/2= 
(5.5 + 4.4)/2 = 4.95
4.95 kmph. Answer : Option 4.95 kmph
Answer: B
he average of 15 numbers is zero. Of them, at the most, how many may be greater than zero?	Choose the correct option
A) 0  B) 1  C) 14  D) 19  E) 8

Solution: Average of 15 numbers = 0.   Sum of 15 numbers (0 x 15) = 0.   It is quite possible that 14 of these numbers may be positive and if their sum is a the 15th number is (-a).   Answer: Option 14
Answer: C
a vase has 2 dozens of assorted flowers of which 8 are daisies. what is the ratio of the daisies to the whole arrangement? Options:
A) 1/2
B) 1/3
C) 1/12
D) 8/12
E) 1/24

Solution: 2 dz flowers=24; ratio of daisies to the whole flower arrangement is 8/24=1/3   ANSWER:1/3
Answer: B
A can do a piece of work in 15 days. A does the work for 5 days only and leaves the job. B does the remaining work in 16 days.In how many days B alone can do the work?	Options.
A) 5days  B) 7 days  C) 12 days  D) 24 days  E) 10 days

Solution: Explanation:   A’s 5 day work = 5*1/15=1/3   Remaining work = 1-1/3=2/3   B completes 2/3 work in 6 days   B alone can do in x days   2/3*x=16   X=24 days   Answer: Option 24 days
Answer: D
Which of the following CAN be the least common multiple of two positive integers 10 and 15?	Select the correct option.
A) 12 B) 30 C) 17 D) 18 E) 50

Solution: LCM of 10 & 15 is 30   Answer : 30
Answer: B
What is the compound interest paid on a sum of Rs.6000 for the period of 2 years at 10% per annum.  Choose the correct choice from the following options:	A) 1260	B) 1320	C) 1200	D) 1250	E) None of these

Solution: Solution= Interest % for 1st year= 10   Interest % for 2nd year= 10+ 10% of 10= 10+ 10 *10/100= 
10+ 10 *10/100 = 11
11   Total % of interest= 10 + 11= 
10 + 11 = 21
21   Total interest= 21 % 6000 = 6000 * (21/100)= 
6000 * (21/100) = 1_260
1260   1260nswer 1260
Answer: A
W is the set of the first n positive odd numbers, where n is a positive integer. Given that n > k, where k is also a positive integer, x is the maximum value of the sum of k distinct members of W, and y is the minimum value of the sum of k distinct members of W, what is x + y?  Pick
A) kn	B) kn + k^2	C) kn + 2k^2	D) 2kn – k^2	E) 2kn

Solution: Probably the easiest way to solve this question would be to assume some values for n and k.   Say n=3, so W, the set of the first n positive odd numbers would be: W={1, 3, 5};   Say k=1, so X, the maximum value of the sum of K distinct members of W would simply be 5. Similarly, Y, the minimum value of the sum of K distinct members of W would simply be 1.   X+Y=5+1= 
5+1 = 6
6.   Now, substitute n=3 and k=1 in the options provided to see which one yields 6. Only asnwer choice E fits: 2kn=2*3*1= 
2*3*1 = 6
6.   Answer: 2kn.
Answer: E
A train 250 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 150 m long?  Choose the correct choice from the following choices:
A) 45 sec
B) 42 sec
C) 32sec
D) 48 sec
E) 25 sec

Solution: total length= 250+150= 
250+150 = 400
400   speed=45km/h=(45*5)/18= 25/2m/s   time=(400*2)/25= 
(400*2)/25 = 32
32 sec.   ANSWER:32sec
Answer: C
How many unique positive odd integers less than 100 are equal to the product of a positive multiple of 5 and an odd number?  Choose the correct choice from the following answers:  A) 4  B) 10  C) 11  D) 12  E) 15

Solution: The Question basically asks how many positive odd integers less than 100 are odd multiples of 5   So we have 5,15,25,35,45,55,65,75,85,95   =10   Ans 10
Answer: B
In a mixed college 160 students are there in one class. Out of this 160 students 1/2 students are girls. How many boys are there ? Choose the correct option.
A) A)40
B) B)60
C) C)80
D) D)120
E) E)140

Solution: Total Number of Students :160   Total Girls :   160*1/2= 
  160*1/2 = 80
80   Total Boys :  160-80= 
 160-80 = 80
80   Answer is 80
Answer: C
A sum of Rs. 1700 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B’s share is:  Choices: A) Rs. 120 B) Rs. 160 C) Rs. 240 D) Rs. 300 E) None

Solution: EXPLANATION   Let C’s share = Rs. x   Then, B’s share = Rs. x/4 , A’s share = Rs. (2/3 x x/4 ) = Rs. x/6   =x/6 + x/4 + x = 1700   => 17x/12 = 1700   => 1700 x 12/ 17 = Rs.1200   Hence, B’s share = Rs. (1200/4) = Rs. 300.   Answer Rs. 300
Answer: D
How many 6 digit positive integers exist such that no two consecutive digits are the same?	Choose the correct choice
A) 10*9*8*7*6*5
B) 9*8*7*6*5*4
C) 9*9*8*7*6*5
D) 9*9*8^4
E) 9^6

Solution: no two consecutive integers are same, so the digit is in the form of XY XY XY   so leftmost digit can be any digit but 0. we can choose in 9 ways. next digit can be chosen in 9 ways, remaining each digit can be chosen in 9 ways.   total digits are 9∗9∗9∗9∗9∗9=9^6   Ans. 9^6
Answer: E
Two cars were driven by W and B. They were 580 miles apart when they started driving towards each other.W's car had traveled at a speed of 20 miles per hour, 4 hours per day for 5 days when it had met B's car. If B had driven 3 hours per day for 5 days, what was B's speed in miles per hour?
Choose the correct option: A) 8 B) 9 C) 10 D) 11 E) 12

Solution: 1. At 20mph for 4 hours a day, then driver W was traveling 80 miles per day. When W met with B, W had already traveled 400 miles.   2. This means that driver B had traveled 580-400= 
580-400 = 180
180 miles upon meeting up with W. B traveled a total of 3 x 5= 15 hours (3hrs/day for 5 days). 180 miles / 15 hours = 12mph   3. Answer 12!
Answer: E
Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Select the correct option:
A) Rs.180	B) Rs.200	C) Rs.250	D) Rs.280	E) Rs.300

Solution: Let the amount paid to X per week = x   and the amount paid to Y per week = y   Then x + y = 550   But x = 120% of y = 120y/100 = 12y/10   ∴12y/10 + y = 550   ⇒ y[12/10 + 1] = 550   ⇒ 22y/10 = 550   ⇒ 22y = 5500   ⇒ y = 5500/22 = 500/2 = Rs.250   Option 'Rs.250'
Answer: C
There are 9 players in a chess group, and each player plays each of the others once. Given that each game is played by two players, how many total games will be played?
Choose the correct choice from the following answers
A) 10	B) 30	C) 36	D) 60	E) 90

Solution: 9 players are there.   two players play one game with one another.   so 9362=9x8/2=36   SO OPTION 36 is correct
Answer: C
By selling 150 apples, a fruit-seller gains the selling price of 30 apples. Find the gain percent?  Choose one:
A) 30%  B) 58%  C) 25%  D) 60%  E) 12%

Solution: Option 25%   Explanation:   SP = 25%P + g   150 SP = 150 25%P + 30 SP   120 SP = 150 25%P   120 --- 30 25%P   100 --- ? => 25%
Answer: C
A 150 meter long train crosses a man standing on the platform in 3 sec. What is the speed of the train? Answers.
A) 176 kmph
B) 108 kmph
C) 176 kmph
D) 134 kmph
E) 180 kmph

Solution: S = 150/3 * 18/5= 
150/3 * 18/5 = 180
180 kmph   Answer: 180 kmph
Answer: E
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 1500 resolutions?
Select the correct option: A) 2187 m B) 2112 m C) 2179 m D) 2127 m E) 2197 m

Solution: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 1500 resolutions.   = 1500 * 2 * 22/7 * 22.4= 
1500 * 2 * 22/7 * 22.4 = 211_200
211200 cm= 2112 m   Answer:2112 m
Answer: B
In an election between two candidates, the first candidate got 60% of the votes and the second candidate got 480 votes. What was the total number of votes?	Choose the correct choice from the following options:
A) 900
B) 1200
C) 1500
D) 1800
E) 2100

Solution: Let V be the total number of votes.   0.4V = 480   V = 1200   The answer is 1200.
Answer: B
Two tains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
Select:	A) 12	B) 14	C) 16	D) 20	E) 18

Solution: Sol.   Speed of the first train = [120 / 10] m/sec = 12 m/sec.   Speed of the second train = [120 / 15] m/sec = 8 m/sec.   Relative speed = (12 + 8) = m/sec = 20 m/sec.   ∴ Required time = (120 + 120) / 20= 
(120 + 120) / 20 = 12
12 sec.   12nswer 12
Answer: A
A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 20 per metre of cloth. What is the cost price of one metre of cloth?	Choose the correct choice from the following answers
A) 21	B) 28	C) 90	D) 85	E) 11

Solution: Explanation:   SP of 1m of cloth = 8925/85 = Rs. 105   CP of 1m of cloth = SP of 1m of cloth - profit on 1m of cloth   = Rs. 105 - Rs. 20 = Rs. 85.   Answer: 85
Answer: D
A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
Choices.
A) 150 m
B) 125 m
C) 130 m
D) 100 m
E) 120 m

Solution: A can give B (5 min - 4 1/2 min) = 30 sec start.   The distance covered by B in 5 min = 1000 m.   Distance covered in 30 sec = (1000 * 30)/300= 
(1000 * 30)/300 = 100
100 m.   A can give B 100m start.   ANSWER:100 m
Answer: D
Janet invited her Boy and Girl friends to her party at the ratio of 3:7. If 30% of the Boys and 70% of the Girls will be coming for the party from Texas, How many Janet invited friends will be coming from Texas.  Answers:
A) 62%  B) 52%  C) 57%  D) 56%  E) 58%

Solution: let total no of Janet invited friends be 100, boys 30 and girls 70, so total number of Janet's invited guests coming from Texas for both Boys and Girls respectively   30* 30/100= 
  30* 30/100 = 9
9 and   70* 70/100= 
  70* 70/100 = 49
49   so total 58 of Janet's invited guest out of the 100 invited guests will be coming from Texas..so required % is 58%   ANSW58%R:58%
Answer: E
In how many different number of ways 5 boys and 2 girls can sit on a shopa which can accommodate persons?
Choose the correct choice from the following.
A) 180	B) 190	C) 200	D) 210	E) 220

Solution: Option '210'   7p3 = 7 × 6 × 5 = 210
Answer: D
Liam is pulled over for speeding just as he is arriving at work.He explains to the police officer that he could not afford to be late today, and has arrived at work only four minutes before he is to start. The officer explains that if Liam had driven 5mph slower for his whole commute, he would have arrived at work exactly on time. If Liam's commute is 60 miles long,how fast was he actually driving?(Assume that Liam drove at a constant speed for the duration of his commute.)	Choices:
A) 50 mph  B) 45 mph  C) 48 mph  D) 52 mph  E) 70 mph

Solution: Let t be the number of hours he would need to reach office on time.   when he is driving with over speed, he reached office 4 min earlier! so the equation for this is s(t - 4/60) = 60   where s is the speed and 30 is the distance.   if he decreases his speed by 5mph then he would have reached his office on time: (s-5)t = 60   if you solve above equations, you will arrive at t = 2/3 hr and s = 70mph   therefore answer is 70 mph
Answer: E
If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is? Select the correct option:
A) 288 B) 125 C) 88 D) 76 E) 232

Solution: D = 90 * 5/18 * 5= 
90 * 5/18 * 5 = 125
125 m   Answer: 125
Answer: B
5, 7, 11, 18, 33, (...) Select.
A) 22  B) 35  C) 27  D) 63  E) 25

Solution: Explanation :   5   5 × 2 - 3 = 7   7 × 2 - 3 = 11   11 × 2 - 3 = 18   18 × 2 - 3 = 33   33 × 2 - 3 = 63   Answer : Option 63
Answer: D
A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work? Choose the correct answer:
A) 10 days.	B) 30 days.	C) 60 days.	D) 20 days.	E) 50 days.

Solution: (A + B)'s 20 day's work =(1/30 x 20)	=2/3	.   Remaining work =(1 -2/3)=1/3.   Now,	1/3	work is done by A in 20 days.   Therefore, the whole work will be done by A in (20 x 3) = 60 days.   Answer: Option 60 days.
Answer: C
The ratio 2:10 expressed as percent equals to Options.
A) 50 %  B) 30 %  C) 25 %  D) 20 %  E) 90%

Solution: Explanation:   Actually it means 2 is what percent of 10, which can be calculated as,   (2/10)*100 = 2* 10= 
2* 10 = 20
20   Answer: Option 20 %
Answer: D
An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is
Choose one.
A) 4.04%	B) 4.14%	C) 4.23%	D) 4.26%	E) 4.5%

Solution: 100 cm is read as 102 cm.   A1 = (100 x 100) cm2 and A2 (102 x 102) cm2.   (A2 - A1) = [(102)2 - (100)2]   = (102 + 100) x (102 - 100)   = 404 cm2.   Percentage error = 404	x 100	%	=   100 x 100   4.04%)
Answer: A
If Dinesh is 1/3rd the age of his father Kiran now, and was 1/4th the age of his father 5 years ago, then how old will his father Kiran be 5 years from now? Select:  A) 20 years  B) 45 years  C) 40 years  D) 50 years  E) None of these

Solution: Let the present age of Dinesh and his father be ’x’ and ’y ’respectively. Then   x = 1/3y   (x - 5) = 1/4(y - 5)   y = 45 years   Hence required age = (y + 5) = 50 years   ANSWER:50 years
Answer: D
In the graduating class of a certain college, 48 percent of the students are male and 52 percent are female. In this class 40 percent of the male and 50 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?
Select
A) A)0.9 B) B)0.5 C) C)0.45 D) D)0.3 E) E)0.25

Solution: Percent of students who are 25 years old or older is 0.4*48+0.5*52=~45, so percent of people who are less than 25 years old is   100-45= 
  100-45 = 55
55.   Answer: 0.5.
Answer: B
The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?  Select
A) 11.9 B) 14.2 C) 11.9 D) 11.5 E) 11.2

Solution: 1 to 11 = 11 * 10.9= 
11 * 10.9 = 119.9
119.9   1 to 6= 6 * 10.5= 
6 * 10.5 = 63
63   6 to 11= 6 * 11.4= 
6 * 11.4 = 68.4
68.4   63 + 68.4= 
63 + 68.4 = 131.4
131.4 – 119.9= 11.5   6th number = 11.5   Answer:11.5
Answer: D
In a contest, a bowl contains 8 keys, one of which will open a treasure chest and Seven of which will not. If a contestant selects the key that opens the treasure chest, she wins the contents of that chest. If Kiran is allowed to draw two keys, simultaneously and at random, from the bowl as the first contestant, what is the probability that he wins the prize?
Choose the correct option.
A) 1/4  B) 1/2  C) 1/3  D) 1/5  E) 1/6

Solution: The total possibilities existing while withdrawing two keys are: 8C2 = 28   For Kiran to win, 7 combinations exist assuming Key 1 to unlock the treasure E.g(1,2), (1,3)....(1,7)   P = 7/28= 1/4   Option 1/4
Answer: A
Convert the 15/36 m/s into kilometers per hour?	Choose the correct choice:
A) 3.5 kmph. B) 2.5 kmph. C) 1.2 kmph. D) 1.5 kmph. E) 1.9 kmph.

Solution: 15/36 m/s = 13/36 * 18/5 = 15/10= 
15/10 = 3/2 = around 1.5
1.5 kmph.   ANSWER:1.5 kmph.
Answer: D
If xerox paper costs 5 cents a sheet and a buyer gets 10% discount on all xerox paper one buys after the first 2000 papers and 20% discount after first 10000 papers, how much will it cost to buy 35000 sheets of xerox paper?	Choose the correct option:  A) $1250  B) $1060  C) $1450  D) $900  E) $1000

Solution: 30 sec approach - solve it using approximation   35000 sheet at full price, 5 cent = 1750   35000 sheet at max discount price, 4 cent = 1400   Your ans got to be between these two.   Ans $1450 it is.
Answer: C