MU-NLPC/Calc-aqua_rat huggingface dataset:
The length of each side of square A is increased by 100 percent to make square B. If the length of the side of square B is increased by 75 percent to make square C, by what percent is the area of square C greater than the sum of the areas of squares A and B?  Choose the correct choice from the following:
A) 75% B) 80% C) 145% D) 150% E) 180%

Solution: Let length of each side of square A be 10   Area of A = 10^2 = 100   Since , length of each side of square A is increased by 100 percent to make square B   length of each side of square B = 2*10= 
2*10 = 20
20   Area of B= 20^2 = 400   Since , length of the side of square B is increased by 75 percent to make square 145%   length of each side of square 145%= 1.75*20= 
1.75*20 = 35
35   Area of 145%= 35^2 = 1225   Difference in areas of 145% and cummulative areas of A and B = 1225 -(400+100)= 
1225 -(400+100) = 725
725   percent is the area of square 145% greater than the sum of the areas of squares A and B= (725/500) * 100= 
(725/500) * 100 = 145
145%   Answer 145%
Answer: C
A girl sitting in a train which is travelling at 100 kmph observes that a goods train travelling in a opposite direction, takes 6 seconds to pass him. If the goods train is 560 m long, find its speed.  Select the correct option:
A) 230	B) 232	C) 234	D) 236	E) 238

Solution: Relative speed = (560/6)m/s = (560/6)*(18/5)= 
(560/6)*(18/5) = 336
336 kmph   speed of goods train= 336-100= 
336-100 = 236
236 kmph   Answer is 238
Answer: E
A certain deck of cards contains 2 blue cards, 2 red cards, 2 yellow cards, and 2 green cards. If two cards are randomly drawn from the deck, what is the probability that they will both be not Yellow? Select.
A) 15/28
B) 1/4
C) 9/16
D) 1/32
E) 1/16

Solution: The question asks they will both be not Yellow. Considering that these are draws without replacement there are following possibilities :   draw 1, draw 2   ===== =====   1) Not Yellow, Yellow;   2) Yellow, Not Yellow;   3) Yellow, Yellow;   4) Not Yellow, not Yellow;   The answer has to be either P(4) OR all exclusion of the 3 previous conditions i.e. 1- [P(1) + P(2) + P(3)] => neither of the draws are Yellow   P(4) = 6/8*5/7=15/28   1- [P(1) + P(2) + P(3)] = 1 - [ (6/8 * 2/7) + (2/8*6/7) + (2/8*1/7)] = 1 - [26/8*7] = 1 - [13/28] = 15/28   15/28
Answer: A
A set of numbers has an average of 30. If the largest element is 4 greater than 3 times the smallest element, which of the following values cannot be in the set?	Choose the correct choice from the following answers
A) 85	B) 95	C) 23	D) 50	E) 55

Solution: Ans: B   Solution: we are given the relation between smallest and the largest term. so let the smallest a and largest be 3a+4   so the avg = 50   which tells us that any value of a must be less than 30   so a<50 means, largest value 3a+4 <(3*30)+4   =largest value must be <94   so 95 can not be the value in the set.
Answer: B
John had a stock of 1400 books in his bookshop. He sold 75 on Monday, 50 on Tuesday, 64 on Wednesday, 78 on Thursday and 135 on Friday. What percentage of the books were not sold? Options:  A) 50.4%  B) 71.3%  C) 66.5%  D) 34.9%  E) 43.5%

Solution: Let N be the total number of books sold. Hence   N = 75 + 50 + 64 + 78 + 135= 
75 + 50 + 64 + 78 + 135 = 402
402   Let M be the books NOT sold   M= 1400 - N = 1400 - 402= 
1400 - 402 = 998
998   Percentage   71.3%ooks not sold / total number of books= 998/1400 = 0.713 = 71.3%   correct answer 71.3%
Answer: B
Ram borrowed some money at the rate of 6% p.a. for the first three years, 8% p.a.for the next six years and 10% p.a.for the period beyond nine years If the total interest paid by him at the end of 12 years is 19200, how much money did he borrow? Choose one
A) 18,000
B) 10,000
C) 25,000
D) 20,000
E) None of these

Solution: Let the sum be x. Then,   (x×3×6/100)+(x×6×8/100)+(x×3×10/100)=19200   ⇒ 18x + 48x + 30x = (19200 × 100)   ⇒ 96x = 1920000   ⇒ x = 20000.   Answer 20,000
Answer: D
If (d-5)(y+2) = 0 which of the following must be true?  Choose the correct answer
A) d = y B) d > y C) d < y D) dy = -10 E) None of the above

Solution: From (d-5)(y+2) = 0 it follows that either d=5 or y=-2.   (A) d = y --> not necessarily true. Consider d=5 and y=0.   (B) d > y --> not necessarily true. Consider d=5 and y=10.   (C) d < y --> not necessarily true. Consider d=5 and y=0.   (D) dy = -10 --> not necessarily true. Consider d=5 and y=0.   Thus, none of the statements must be true.   Answer: None of the above.
Answer: E
The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is:  Choose the most appropriate option:
A) 200 m	B) 225 m	C) 245 m	D) 250 m	E) 280 m

Solution: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (130 + X)/30 = 25/2 ==> 2(130 + X) = 750 ==> X = 245 m.   ANSWER:245 m
Answer: C
Can you find the missing number in the sequence given below?
10 14 18 11 15 ? 12 16 20 13 17 21
Choose one.
A) 25 B) 23 C) 20 D) 18 E) 19

Solution: Let's break the given series as below:   10 14 18   11 15 ?   12 16 20   13 17 21   Now read the number from left hand side from top to bottom as :   So the number that will replace '?' is 19   Answer : 19
Answer: E
A box contains 4 black, 3 red and 6 green marbles. 3 marbles are drawn from the box at random. What is the probability that both the marbles are of the same color?	Answers:
A) 24/286
B) 25/709
C) 25/286
D) 24/268
E) 24/226

Solution: Explanation:   Total marbles in a box = 4 black + 3 red + 6 green marbles = 13 marbles   3 marbles are drawn from 13 marbles at random. Therefore,   n(S) = 13C3= 286 ways   Let A be the event that 2 marbles drawn at random are of the same color. Number of cases favorable to the event A is   n(A) = 425/2863 + 325/2863+ 625/2863 = 4 +1 + 20= 
4 +1 + 20 = 25
25   Therefore, by definition of probability of event A,   P(A)= n(A)/n(S) = 25/286   ANSWER:25/286
Answer: C
The average score of a cricketer for five matches is 45 runs. If the average for first three matches is 30, then average for last two matches is
Choices:
A) 33.25
B) 32.25
C) 67.5
D) 60.5
E) 45.5

Solution: Explanation:   =(45×5)−(30×3)/2   =(225 −90)4=67.5   Answer: Option 67.5
Answer: C
By selling 16 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?	Choose the correct choice from the following choices.
A) 28	B) 25	C) 24	D) 23	E) 21

Solution: 80% --- 16   120% --- ?   80/120 * 16 = 24   Answer:24
Answer: C
What is the place value of 4 in the numeral 4125 Pick one:  A) 2500  B) 3400  C) 3500  D) 3000  E) 4000

Solution: Option '4000'    4 * 1000= 
 4 * 1000 = 4_000
4000
Answer: E
A man performs 1/2 of the total journey by rail, 1/3 by bus and the remaining 5km on foot. His total journey is	Choose the correct choice from the following answers
A) 16km
B) 10km
C) 12km
D) 30km
E) 25km

Solution: Explanation:   Let the journey be x km   Then, 1x/2 + 1x/3 +5 =x   5x +30 =6x   X = 30km   Answer: Option 30km
Answer: D
In a division sum, the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 17 to the thrice of the remainder. The dividend is	Choose the correct option:
A) 74 B) 146 C) 86 D) 92 E) 98

Solution: Divisor = (6 * 3) + 17= 
(6 * 3) + 17 = 35
35   5 * Quotient= 35   Quotient = 7.   Dividend = (Divisor * Quotient) + Remainder   Dividend = (20 * 7) + 6= 
(20 * 7) + 6 = 146
146.   146)
Answer: B
Calculate how many ways a woman who has 5 bags and 4 books can put the books in her bag?  Choose the correct choice: A) 625 B) 635 C) 615 D) 325 E) 125

Solution: First paper can be put in 5 ways, similarly second, third, and forth books also can be put in 5 ways.   So total number of ways = 5 x 5 x 5 x 5 = 625   625
Answer: A
Solve below question 2x + 1 = -17	Choices
A) -8
B) -9
C) 9
D) 8
E) -7

Solution: 1. Subtract 1 from both sides:   2x + 1 - 1 = -17 - 1   2. Simplify both sides:   2x = -18   3. Divide both sides by 2:   4. Simplify both sides:   x = -9   -9
Answer: B
A machine manufactures notebooks in a series of five colors: red, blue, black, white, and yellow. After producing a notebook of one color from that series, it produces a notebook of the next color. Once five are produced, the machine repeats the same pattern. If the machine began a day producing a red notebook and completed the day by producing a black notebook, how many notebooks could have been produced that day?
Choose the correct choice from the following answers: A) 27 B) 34 C) 50 D) 61 E) 78

Solution: A machine manufactures notebooks in a series of five colors: red, blue, black, white, and yellow.   Machine starts manufacturing Red and ended on Black.   This means that either machine has manufactured 3, 8, 13, 18, 23, 28, 33, 38, 43, 48, 53, 58, 63, 68, 73, 78   Only 78 is given in the options. So answer = 78   ANSW78R:78
Answer: E
The ratio of the amount of the oil bill for the month of February to the amount of the oil bill for the month of January was 5:4. If the oil bill for February had been $45 more, the corresponding ratio would have been 3:2. How much was the oil bill for January? Pick:	A) $60	B) $90	C) $120	D) $150	E) $180

Solution: 5:4 = 15:12 and 3:2 = 18:12.   An increase in $45 increases the ratio by 3:12.   Therefore an increase in $15 increases the ratio by 1:12.   Therefore, January's bill was 12($15) = $180.   The answer is $180.
Answer: E
The area of an isosceles trapezoid with sides of length 5 and bases of length 8 and 14 is? Options.
A) 22 B) 32 C) 44 D) 55 E) 56

Solution: we can divide the trapezoid into two triangles and a rectangle   sides of triangle , t1 --> h1 =5 , b1 =3 , s1= root(25-9) = 4 = s2 of triangle t2   area of triangle = (1/2)*4*3= 
(1/2)*4*3 = 6
6   side of the rectangle= 8*4= 
8*4 = 32
32   total area of the trapezoid= 32+6+6= 
32+6+6 = 44
44   ANSWER:44
Answer: C
A man can row with a speed of 15 kmph in still water. If the stream flows at 1 kmph, then the speed in downstream is?  Choose the correct choice:
A) 10 kmph B) 5 kmph C) 20 kmph D) 16 kmph E) 25 kmph

Solution: M = 15   S = 1   16 kmphS = 15 + 1= 
15 + 1 = 16
16   ANSWER:16 kmph
Answer: D
A person is traveling at 25km/hr and reached his destiny in 9hr find the distance?  Choose the correct answer
A) A)100km	B) B)95km	C) C)135km	D) D)80km	E) E)225km

Solution: speed = 25km/hr   time = 9hr   distance = 25*9= 
25*9 = 225
225km   Answer is 225km
Answer: E
Which of the following correctly lists the data sets in order of greatest to least standard deviation?
I. 8, 9, 10, 11, 12, 13
II. 12, 12, 12, 12, 12, 12
III. 47, 56, 58, 60, 64, 69 Select: A) I, II, III B) I, III, II C) III, I, II D) II, III, I E) II, I, III

Solution: out of three given sets,   II has all numbers same, so it has zero standard deviation hence it is Least   I has consecutive numbers , hence all are closedly spaced hence std deviation will be less   while in III,numbers are spread widely hence std deviation should be more than II   hence order should be II, I,III   IMO II, I, III
Answer: E
Given two fair dice, what is the probability E that the sum of their numbers is 4 if exactly one die shows a 3?
Choose the correct choice from the following answers:
A) a) 2/11 B) b) 1/18 C) c) 3/11 D) d) 2/39 E) e) 1/5

Solution: If exactly one die shows 3, there are 10 such combinations (given that we have 2 fair dice).   1:3, 2:3, 4:3, 5:3, 6:3,   3:1, 3:2, 3:4, 3:5, 3:6   The sum of numbers would be 4 for two events: 1:3, 3:1.   E=2/11 would be the answer if 'at least one of the die shows a 3'.a) 2/11
Answer: A
If a and b are odd integers which of the following must be an even integer?  Choose the correct choice from the following options: A) a/b B) ab C) (ab)^2 D) ab + b E) (a + b)/b

Solution: Certainly (ab + b)   ab+b=b(a+1)   Sine both a & b are Oab + bab + b , we can say ( a + 1 ) is EVEN as Oab + bab + b + 1 = EVEN   Hence there is no doubt that the OA must be (ab + b)   ANSWER:ab + b
Answer: D
if the price of a book is first decreased by 20% and then increased by 20%, then the net change in the price will be :	Pick:	A) 10	B) 388	C) 4	D) 29	E) 22

Solution: Explanation:   Let the original price be Rs. 100.   Decreased by 20% = 80   Then increased 20% on Rs 80 = 80 + 16= 
80 + 16 = 96
96   Net change in price= 100 - 96= 
100 - 96 = 4
4   Answer : 4
Answer: C
The ratio of three numbers is 6:7:5 and their sum is 108. The second number of the three numbers is? Pick one
A) 12
B) 42
C) 30
D) 36
E) None of these

Solution: Explanation:   6:7:5   Total parts = 18   18 parts --> 108   1 part ---->6   The second number of the three numbers is = 7   7 parts ----> 42   Answer: Option 42
Answer: B
If x and y are both odd prime numbers and x < y, how many distinct positive R integer factors does 2xy have? Choose the correct answer:
A) 3
B) 4
C) 6
D) 8
E) 12

Solution: Since 2xy prime R factors are x^1*y^1*2^1, its total number or factors must be (1+1)(1+1)(1+1)=2^3=8. Thus, I think 8 would be the correct answer.
Answer: D
Three students appear at an examination of Mathematics. The probability of their success are 1/3, 1/4, 2/5 respectively. Find the probability of success of at least two.	Select the correct option.
A) 1/4  B) 2/5  C) 3/4  D) 3/5  E) 4/5

Solution: The probability of success of at least two students will involve the following possibilities.   The first two students are successful, the last two students are successful, the first and third students are successful and all the three students are successful.   Therefore, the required probability = 1/3 x 1/4 x 3/5 + 1/4 x 2/5 x 2/3 + 1/3 x 2/5 x 3/4 + 1/3 x 1/4 x 2/5 = 1/4   1/4NSWER:1/4
Answer: A
Which of the following is closer to (24!+23!)/(24!-23!)?	Answers.
A) 49
B) 36
C) 25
D) 1
E) 16

Solution: Notice that 24! = (24)(23!), so we can factor out 23! from top and bottom.   (24!+23!)/(24!-23!)=[23!(24+1)]/[23!(24-1)]   = (24+1)/(23-1)   = 25/23   ≈ 1   Answer: 1
Answer: D
Molly can do a task in 15 days while Sandy can do the task in 30 days. How many days will it take to complete the task if both work together?  Answers
A) 8  B) 10  C) 11  D) 12  E) 14

Solution: Each day, Molly can do 1/15 of the task.   Each day, Sandy can do 1/30 of the task.   Each day, they can do 1/15 + 1/30 = 1/10 of the task.   The task will be completed in 10 days.   The answer is 10.
Answer: B
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? Choose the correct choice from the following.
A) 288
B) 668
C) 240
D) 299
E) 121

Solution: Speed = [54 * 5/18] m/sec = 15 m/sec.   Length of the train = (15 * 20)= 
(15 * 20) = 300
300 m.   Let the length of the platform be x meters.   Then, x + 300 / 36= 15   x + 300 = 540   x = 240 m.   Answer:240
Answer: C
A store reduced the price of all items in the store by 15% on the first day and by another 10% on the second day. The price of items on the second day was what percent of the price before the first reduction took place?  Choose the correct choice from the following answers
A) 76.5
B) 80.9
C) 81.0
D) 81.1
E) 81.9

Solution: consider price of the all items as $100   after a initial reduction of 15% price becomes = 0.85 *100= 
0.85 *100 = 85
$ 85   after the final reduction of 10% price becomes= 0.9* 85= 
0.9* 85 = 76.5
$ 76.5   price of all items on second day is 76.5% of price on first day   correct answer option 76.5
Answer: A
What is his percentage profit made by Osborn if he purchased 30 dozen watches at Rs. 50 per dozen. He sold 12 dozens at 12% profit and the remaining 18 dozens with 17% profit?
Choose the most appropriate option:
A) 12.6%
B) 13.6%
C) 16.6%
D) 15.6%
E) 14.6%

Solution: Explanation :   C.P of 30 dozen = Rs.(50 x 30) = Rs.1500   C.P of 12 dozen = Rs. (50 x12) = Rs. 600.   C.P of 18 dozen =Rs. (50 x18) = Rs. 900   profit on 12 dozen at 12% = 12/100*600= 
12/100*600 = 72
72   profit on 18 remaining dozen at 18%= 18/100*900= 
18/100*900 = 162
162   total profit= 72 + 162= 
72 + 162 = 234
234   % profit= ?/100*1500 = 234   = 15.6%   Answer : 15.6%
Answer: D
A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
Choose the correct choice from the following answers.
A) 54	B) 58	C) 62	D) 64	E) 68

Solution: We may have(1 black and 2 non-black) or (2 black and 1 non-black) or (3 black).   Required number of ways	= (3C1 x 6C2) + (3C2 x 6C1) + (3C3)   = 3 x	6 x 5 + 3 x 2	x 6 + 1   2 x 1	2 x 1   = (45 + 18 + 1)= 
(45 + 18 + 1) = 64
64   Answer: 64.
Answer: D
A sock drawer contains five socks, each one a different solid color. The colors of the socks are red, orange, yellow, indigo, and violet. If a person reaches into the drawer and pulls out two socks, how many different color combinations are possible in the selected pair of socks?	Choose the most appropriate option
A) 10
B) 15
C) 21
D) 36
E) 42

Solution: Since here order of socks is not important then we'll have 5C2 i.e. 10 combinations.   10nswer : 10
Answer: A
A Fruit store sells four varieties of Mangoes. A,B,C & D. IF A Costs 15% less than B, and C costs 20% less than A,and D costs 25% less than C what percent of B's cost is D?
Select:
A) 40%
B) 38%
C) 44%
D) 46%
E) 51%

Solution: Soln:-   B=100   A 15% less than B = 85   C 20% less than A = 68   D 25% less than C = 51   D is what percent of B = D/B * 100   = 51/100 * 100= 
51/100 * 100 = 51
51%   ANSW51%R:51%
Answer: E
A number consists of two digits whose sum is 11. If 27 is added to the number, then the digits change their places. What is the number ?  Choose the correct choice:
A) 47
B) 65
C) 83
D) 92
E) 82

Solution: If number is xy , then x +y =11   and   10x+y +27 = 10y+x   solving these eqns, we get   x=4 and y =7   so number is 47.   47NSWER:47
Answer: A
8 x 5.4 - 0.6 x 10/1.2 = ?
Select.
A) 30 B) 45 C) 50 D) 31 E) 21

Solution: Given Expression   = (43.2 - 6)/1.2   = 37.2/1.2= 
37.2/1.2 = 31
31   Answer is 31.
Answer: D
A circular well with a diameter of 2 meters, is dug to a depth of 14 meters. What is the volume of the earth dug out.  Choose the correct choice from the following answers:
A) 40m3  B) 42m3  C) 44m3  D) 46m3  E) 48m3

Solution: Explanation:   Volume=πr2h   Volume=((22/7)∗1∗1∗14)m3   =44m3   ANSWER IS 44m3
Answer: C
A walks at 10 kmph and 6 hours after his start, B cycles after him at 20 kmph. How far from the start does B catch up with A?
Choose the most appropriate option.
A) 100km  B) 150km  C) 50km  D) 120km  E) 200km

Solution: Suppose after x km from the start B catches up with A. Then, the difference in the time taken by A to cover x km and that taken by B to cover x km is 6 hours.   x/10 - x/20 = 6   x = 120 km   Answer is 120km
Answer: D
The radius of a semi circle is 6.3 cm then its perimeter is?	Pick one:
A) 35.4 cm
B) 32.4 cm
C) 32 cm
D) 30 cm
E) 35 cm

Solution: Explanation:   36/7 r = 6.3 = 32.4   ANSWER IS 32.4 cm
Answer: B
The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
Choose the correct answer.
A) 16 seconds  B) 76 seconds  C) 26 seconds  D) 12 seconds  E) 18 seconds

Solution: Speed of the boat downstream = 15 + 3= 
15 + 3 = 18
18 kmph= 18 * 5/18= 
18 * 5/18 = 5
5 m/s   Hence time taken to cover 60 m= 60/5= 
60/5 = 12
12 seconds.   Answer: 12 seconds
Answer: D
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 8 sec. What is the length of the fast train? Pick
A) 44 7/6 m B) 44 4/9 m C) 44 7/2 m D) 44 7/9 m E) 44 7/7 m

Solution: Relative speed = (40 - 20)= 
(40 - 20) = 20
20 km/hr.= 20 * 5/ 18 = 50/9 m/sec.   Length of faster train = 50/9 * 8 = 400/9 = 44 4/9 m.Answer:44 4/9 m
Answer: B
In a 4 person race, medals are awarded to the fastest 3 runners. The first-place runner receives a gold medal, the second-place runner receives a silver medal, and the third-place runner receives a bronze medal. In the event of a tie, the tied runners receive the same color medal. (For example, if there is a two-way tie for first-place, the top two runners receive gold medals, the next-fastest runner receives a silver medal, and no bronze medal is awarded). Assuming that exactly three medals are awarded, and that the three medal winners stand together with their medals to form a victory circle, how many C different victory circles are possible?	Choose the correct answer:
A) 24 B) 52 C) 96 D) 144 E) 648

Solution: Possible scenarios are:   1. Gold/Silver/Bronze/No medal (no ties) - 4!=24;   2. Gold/Gold/Silver/No medal - 4!/2!=12;   3. Gold/Silver/Silver/No medal - 4!/2!=12;   4. Gold/Gold/Gold/No medal - 4!/3!=4.   Total:  24+12+12+4= 
 24+12+12+4 = 52
52   Answer: 52.
Answer: B
A train crosses a platform of 130 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Choose the correct choice from the following choices:
A) A)150m
B) B)170m
C) C)230m
D) D)158m
E) E)350m

Solution: Length of the train be ‘X’   X + 130/15 = X + 250/20   4X + 520 = 3X + 750   X = 230m   Answer: 230m
Answer: C
Father is aged three times more than his son Sunil. After 8 years, he would be two and a half times of Tharak's age. After further 6 years, how many times would he be of Tharak's age?	Pick:
A) 1.52 times
B) 1.83 times
C) 2.83 times
D) 0.83 times
E) 6.2 times

Solution: Assume that Tharak's present age =x.   Then, father's present age =3x+x=4x   After 8 years, father's age=2 1/2 times of Tharak' age   ⇒(4x+8)=2 1/2(x+8)   ⇒4x+8=5/2(x+8)   ⇒8x+16=5x+40   ⇒3x=40−16=24   ⇒x=24/3= 
24/3 = 8
8   After further 6 years,   Sunil's age=x+6+6=8+6+6= 
8+6+6 = 20
20   Father's age=4x+6+6=4×8+6+6=44   Father's age/Sunil's age   =44/24   =1.83   ANSWER:1.83 times
Answer: B
If a * b * c =(√(a + 2)(b + 3)) / (c + 1), find the value of 6 * 15 * 11.
Choose the correct choice from the following choices.
A) 8
B) 5
C) 1
D) 3
E) 4

Solution: 6 * 15 * 11 = (√(6 + 2)(15 + 3) )/ (11 + 1)   = (√8 * 18) / 12   = (√144) / 12   = 12 / 124 ( 144) / 12= 
( 144) / 12 = 12
12 / 124= 1.   Answer is 1
Answer: C
For dinner at a restaurant, there are x+ 1 choices of appetizers, y main courses, and z choices of dessert. How many total possible choices are there if you choose 1 appetizer, 1 main course, and 1 dessert for your meal?  Choose the correct option:	A) x + y + z + 1	B) xyz + xz	C) xy + z + 1	D) xyz + 1	E) xyz + yz

Solution: x + 1 appetizers,   y main courses,   z dessert   Required: 1 appetizer, 1 main course, and 1 dessert   Number of ways possible = yC1*(x+1)C1*zC1 {NC1 = N! / (N-1)!*1! = N}   Hence, number of ways = y(x+1)z = xyz + yz   Correct Option: xyz + yz
Answer: E
A number when divided by a certain divisor left remainder 255, when twice the number was divided by the same divisor, the remainder was 112. Find the divisor?	Choose the correct choice from the following choices:  A) 370  B) 365  C) 398  D) 456  E) 460

Solution: Easy solution:   N= Dq1+255   2N = 2Dq1 + 51 0- (1)   2N = Dq2 + 112 - (2)   As (1) = (2) = 2N   D*(q2-2q1) = 398   D * Some integer = 398   Checking all options only (C) syncs with it.   Answer 398
Answer: C
In covering a distance of 24 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is: Choices
A) 4 kmph  B) 6 kmph  C) 6.25 kmph  D) 7.5 kmph  E) 7.8 kmph

Solution: Let Abhay's speed be x km/hr.   Then,	24/X	-	24/2X	= 3   6x = 24   x = 4 km/hr. 4 kmphnswer: Option 4 kmph
Answer: A
A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17thinnings?  Choices:
A) 39  B) 12  C) 11  D) 37  E) 89

Solution: Explanation:   16x + 85 = 17(x + 3)   x = 34 + 3= 
34 + 3 = 37
37   Answer: Option 37
Answer: D
20 people attend a party. 7 men are single and the rest are there with their wives. There are no children in the party. In all 10 women are present. Then the number of married men at the party is ?	Choose the correct choice from the following answers:
A) 5
B) 3
C) 7
D) 8
E) 9

Solution: Total people = number of men + number of women   20 = 7 + number of married men + 10   number of married men = 20-10-7= 
20-10-7 = 3
3 men   ANSWER:3
Answer: B