MU-NLPC/Calc-aqua_rat huggingface dataset:
Find the surface area of a cuboid 16 m long, 8 m broad and 7 m high
Choose the correct choice from the following answers:	A) 868 sq.cm	B) 920 sq.cm	C) 727 sq.cm	D) 832 sq.cm	E) None of these

Solution: Explanation:   Surface area = [2 (16 x 8+ 8 x 7 + 16 x 7)] cm2 = (2 x 416)cm2 = 832 cm2.   Answer: 832 sq.cm
Answer: D
what is the smallest integer that is multiple of 7, 9 and 20	Choose the most appropriate option.
A) 141  B) 180  C) 130  D) 1260  E) 1420

Solution: Correct Answer :1260   It is the lcm of 7, 9 and 20 which is 1260
Answer: D
Mariah has decided to hire three workers. To determine whom she will hire, she has selected a group of 14 candidates. She plans to have one working interview with 3 of the 14 candidates every day to see how well they work together. How many days will it take her to have working interviews with all the different combinations of job candidates?  Choices.
A) 720	B) 120	C) 300	D) 30	E) 333

Solution: 333.   Answer 333
Answer: E
The value of a scooter depreciates in such a way that its value of the end of each year is 3/4 of its value of the beginning of the same year. If the initial value of the scooter is Rs.40,000, what is the value at the end of 4 years ?	Answers.
A) 3277	B) 2977	C) 12656	D) 6077	E) 17112

Solution: Explanation: 40,000*(3/4)^4   Answer:12656
Answer: C
A bus leaves Burbank at 9:00 a.m. traveling east at 50 miles per hour. At 1:00 p.m. a plane leaves Burbank traveling east at 300 miles per hour. At what time will the plane overtake the bus?  Select.
A) 12:45 p.m.	B) 1:10 p.m	C) 1:40 p.m	D) 1:48 p.m	E) 1:55 p.m

Solution: distance = speed * time   from 9:00 am to 1:00 pm total is 4 hrs   In 4 hrs bus travels a distance of  50 * 4= 
 50 * 4 = 200
200 miles   plane starts travelling in same direction so relative speed= 300 - 50= 
300 - 50 = 250
250 miles/hr   distance the plane needs to cover so as to overtake the bus is 200 miles   time= 200 /250 = 4/5 hrs = 48 minutes   so at 1:48 pm the plane overtakes the bus   Correct answer - 1:48 p.m
Answer: D
If log 27 = 1.431, then the value of log 9 is:  Select:
A) 0.934 B) 0.945 C) 0.954 D) 0.958 E) 0.998

Solution: log 27 = 1.431   log (3cube ) = 1.431   3 log 3 = 1.431   log 3 = 0.477   log 9 = log(3square ) = 2 log 3 = (2 x 0.477) = 0.954.   Answer: Option 0.954
Answer: C
A, B and C are pipes attached to a cistern. A and B can fill it in 10 and 15 minutes respectively, While C can empty it in 20 minutes. If A, B and C be kept open successively for one minute each, find the last integral number of minutes required for the cistern to get filled	Pick one
A) 24 min 40 sec.	B) 24 min 30 sec.	C) 24 min 20 sec.	D) 24 min 10 sec.	E) 24 min 50 sec.

Solution: 3 min filling=(1/10)+(1/15)-(1/20)=7/60   So upto   3*8= 
  3*8 = 24
24th min, cistern filled=7*8/60=56/60=14/15   Remaining=1/15, which is to be filled by 'A' again   time taken by A=(1/15)/(1/10)=2/3 min.=40 sec.   So total time required=24 min+ 40 sec.   24 min 40 sec.NSWER:24 min 40 sec.
Answer: A
In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100? Select
A) 16  B) 24  C) 25  D) 96  E) 28

Solution: A scores 60 while B score 40 and C scores 30.   The number of points that C scores when B scores 100 = (100 * 30)/40 = 25 * 3= 
25 * 3 = 75
75.   In a game of 100 points, B gives (100 - 75)= 
(100 - 75) = 25
25 points to C.   Answer: 25
Answer: C
There are 12 points marked on the circumference of a circle. How many hexagons can be formed by connecting 6 points of the 12 points?	Answers.
A) 908  B) 912  C) 916  D) 920  E) 924

Solution: 12C6=924   The answer is 924.
Answer: E
What approximate value will come in place of the question mark(?) in the following equation?
2070.50 ÷ 15.004 + 39.001 × (4.999)2 = ?
Choose the correct choice from the following answers:
A) 1005
B) 997
C) 1049
D) 1213
E) 1113

Solution: 2070.50 ÷ 15.004 + 39.001 × (4.999)2 = ?   or? ≈ 2070 ÷ 15 + 39 × 5 × 5   = 138 + 975= 
138 + 975 = 1_113
1113   Answer 1113
Answer: E
How many multiples of 7 are there between 9 and 89, 9 and 89 inclusive ? Choose the correct choice from the following options.
A) 11 B) 17 C) 16 D) 13 E) 12

Solution: 7 multiples are ...14,21,28,35,42,49,56,63,70,77,84,   ...   ,...,   the answer is =11   11nswer is 11
Answer: A
A straight line in the xy-plane has a slope of 2 and a y-intercept of 2. On this line, what is the x-coordinate of the point whose y-coordinate is 998 ?	Choose the correct choice from the following answers:
A) 249	B) 498	C) 676	D) 823	E) 1,002

Solution: slope of 2 and a y-intercept of 2   y-coordinate is 998   y = 2x + 2   996 = 2x   x = 498   Answer:   B. 498
Answer: B
How many distinct integer values of n satisfy the inequality||n-3| + 4| ≤ 11? Choose the correct choice:
A) 15
B) 16
C) 17
D) 8
E) 19

Solution: so i can write this as In-3I+4<=11   or In-3I<=7   so n can have -4 to 10 = 8 true values....   8
Answer: D
In a soccer bet,we play 4 teams.first team odd 1.27,second 5.23,third 3.25,fourth 2.05.we place the bet with 5.00 euros.
how much money we expect to win?
Choose the correct choice from the following choices
A) 219.5	B) 221.26	C) 235.01	D) 266.74	E) 669.0

Solution: in the case we won the bet,we have:   1.27* 5.23* 3.25* 2.0*5.00=219.50   we will win 221.26   so correct answer is 221.26
Answer: B
The length of rectangle is thrice its breadth and its perimeter is 112 m, find the area of the rectangle?
Choose the correct option.
A) 432 sq m  B) 356 sq m  C) 452 sq m  D) 588 sq m  E) 525 sq m

Solution: 2(3x + x) = 112   l = 42 b = 14   lb = 42 * 14= 
42 * 14 = 588
588   ANSWER:588 sq m
Answer: D
The length of a rectangle is halved, while its breadth is tripled. Whatis the % change in area? Choose the correct choice
A) 30%	B) 40%	C) 50percent	D) 60%	E) 70%

Solution: Let original length = x and original breadth   New length = x .   2   New breadth = 3y.   New area = x x 3y = 3 xy.   2 2   Increase % = 1 xy x 1 x 100 % = 50%.   2 xy   50percent
Answer: C
The diameter of a cylindrical tin is 14cm and height is 5 cm. Find the volume of the cylinder?  Choose the most appropriate option:
A) 230	B) 141	C) 66	D) 245	E) 21

Solution: r = 7 h = 5   π * 7 * 7 * 5 = 45 π cc   Answer:245
Answer: D
List I: { y, 2, 4, 7, 10, 11}
List II: {3, 3, 4, 6, 7, 10}
If the median E of List I is equal to the sum of the median of list II and the mode of list II, then y equals Answers.
A) 5 B) 7 C) 8 D) E=9 E) 10

Solution: mode of list ii =3   median E of list ii =4+6/2 =5   sum of mode + mean = 3+ 5= 
3+ 5 = 8
8   now to make 8 as the median we need to find a value of y such that if the no. of terms in list 1 are odd then y=8 else if even then 7+y /2=8   here its even so   7+y/2=8 from this y= 9 (E=9)
Answer: D
In a Express Train passengers traveling in A.C. Sleeper Class, First Class and Sleeper Class are in the ratio 1:2:3, and fare to each class in the ratio 5:4:2. If the income from this train is Rs. 57000, the income of A.C. Sleeper Class is  Answers
A) Rs. 8000	B) Rs. 12000	C) Rs. 15000	D) Rs. 6000	E) None

Solution: Income is divided in the ratio 1×5:2×4:3×2= 5:8:6.   Now 5x + 8x + 6x = 19x  5  + 8  + 6= 
 5  + 8  + 6 = 19
19x= 57000.   ∴ x =3000.   Therefore income from A.C. Sleeper Class = 30005=15000.   Answer:Rs. 15000.
Answer: C
A shopkeeper marks up the price of his goods by 20% and gives a discount of 10% to the customer. He also uses a 900g weight instead of 1Kg weight. Find his profit percentage.
Choose the correct choice
A) 8%
B) 12%
C) 20%
D) 30%
E) None of these

Solution: Let the 20%.P of 1000g of goods be Rs 1,000   Market price = Rs 1,200   Selling price = Rs 1,200 x 0.9 = Rs 1,080 (after discount of 10% )   If Rs 1080 is the selling price of 900g of goods ( as he cheats of 10 % while selling )   20%.P of 900g = Rs 900   Profit = Rs 180   Therefore, Profit % = (180/900 ) x 100 = 20 %   ANSWER:20%
Answer: C
What is the difference between the largest and the smallest number written with 7, 7, 0, 7? Select the correct option.
A) 337 B) 628 C) 987 D) 693 E) 281

Solution: Explanation:   7770   7077   -------------   693   Answer: 693
Answer: D
WHAT IS correct mathematical solution for the number of ways that the letters of the word BANANA could be arranged to create a six-letter code?  Choose the most appropriate option
A) A)6! B) − (3! + 2!) C) − (3! × 2!) D) + 2!) E) × 2!)

Solution: Number of letters in word 'BANANA' = 6.   The letters 'A' and 'N' appear 3 times and 2 times respectively in the word 'BANANA'.   Therefore the mathematical solution for number of ways that the letters of the word BANANA can be arranged to create six-letter code   = 6!/(3!*2!)   Answer: × 2!)
Answer: E
What is 15% of 2/3 of 0.6?	Pick:
A) 0.06  B) 0.9  C) 9  D) 90  E) None of the above

Solution: The best way to solve these questions is to convert every term into fraction   (15/100)*(2/3)*(6/10) = 180/3000= 
180/3000 = 3/50 = around 0.06
0.06   Option 0.06
Answer: A
In a garden, four are three blue flowers, four red flowers, four green flowers, and four pink flowers. What is the probability that a florist will choose three flowers of the same color when randomly picking three flowers?
Choose the correct choice:  A) 11/10  B) 1/55  C) 1/40  D) 3/55  E) 1/16

Solution: P(all the same color) = P(1st flower is ANY colorAND2nd flower is same as firstAND3rd flower is also the same color)   = P(1st flower is ANY color)xP(2nd flower is same as 1st)ANDP(3rd flower is the same color)   = 1x3/16x2/15   = 1/40   Answer: 1/40
Answer: C
Mary charges $8.50 per hour to clean a house. If she works 21 hours, how much
does she earn in one week? Choose the correct choice from the following answers.
A) $612.50
B) $278.50
C) $178.50
D) $418.50
E) $312.50

Solution: Multiply 21 hours x $8.50 =   Answer: $178.50   correct answer $178.50
Answer: C
A trader mixes 80 kg of tea at 15 per kg with 20 kg of tea at cost price of 20 per kg. In order to earn a profit of 20%, what should be the sale price of the mixed tea?  Choose the most appropriate option:
A) 23.75
B) 22
C) 20
D) 19.2
E) None of these

Solution: C.P. of mixture = 80×15+20×20 /80+20=16   ∴ S.P. = (100+20)/100×16=19.2   Answer 19.2
Answer: D
Bruce purchased 8 kg of grapes at the rate of 70 per kg and 10 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper? Pick one
A) A)1040
B) B)1050
C) C)1055
D) D)1110
E) E)1075

Solution: Cost of 8 kg grapes = 70 × 8 = 560.   Cost of 10 kg of mangoes = 55 × 10 = 550.   Total cost he has to pay = 560 + 550= 
560 + 550 = 1_110
1110   1110
Answer: D
A group of 7 fishermen chartered a boat for a day to fish for flounder. The boat costs x dollars per day to rent. If the group can find 2 more fishermen on the docks who are willing to come aboard and share the rental costs, how much less will the rental cost be per person in terms of x?  Choices: A) x/70 B) 2x/63 C) 3x/70 D) 3x/10 E) 3x/7

Solution: cost of boat per day = x   cost per person =x/7   if three more persons afre there, cost =x/9   difference = x/7-x/9   =2x/63   Ans 2x/63
Answer: B
On a test, students receive 4 points for each correct answer and are penalized by losing one point for each incorrect answer. There are 6 questions on the test and each question has 4 answer options, A, B, C, and D. It is known that 5 of the questions have option B as the correct answer and one question has option C as the correct answer. If a student marks B for the first 3 questions and C for the last 3 questions, what is the minimum possible score that student can receive?  Pick
A) -4
B) -1
C) 0
D) 1
E) 4

Solution: For the minimum possible score, let us take the worst case scenario   Suppose, he gets all of the last 3 qs wrong whose correct answer options are B and one of the first 3 qs wrong whose correct option is C   In that case, he will get only 2 out of the first 3 qs right.   Therefore, minimum possible score=(4*2)-(4*1)= 
(4*2)-(4*1) = 4
4   Answer 4
Answer: E
A train covers a distance of 12 km in 10 min. If it takes 2 sec to pass a telegraph post, then the length of the train is? Choose the correct answer
A) 40  B) 80  C) 20  D) 100  E) 60

Solution: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec = 20 m/sec.   Length of the train = 20 * 2= 
20 * 2 = 40
40 m.   40nswer: Option 40
Answer: A
You collect pens. Suppose you start out with 5. Mike gives you another 20 pens. Since her father makes pens, Cindy decides to double your pens. Since you're nice, you give Sharon 10 pens. How many pens do you have at the end?
Answers
A) 39 B) 40 C) 41 D) 42 E) 43

Solution: Solution   Start with 5 pens.   Mike gives you 20 pens:  5 + 20= 
 5 + 20 = 25
25 pens.   Cindy doubles the number of pens you have: 25 Ã— 2= 50 pens.   Sharon takes 10 pens from you:  50 - 10= 
 50 - 10 = 40
40 pens.   So you have 40 at the end.   Correct answer: 40
Answer: B
A truck covers a distance of 550 metres in 1 minute whereas a train covers a distance of
33 kms in 45 minutes. What is the ratio of their speed?  Choices
A) 3:4  B) 2:1  C) 1:2  D) 4:3  E) 5:5

Solution: Speed of the truck = 550 metres/min   speed of the train = 33/45 km/min = 33000/45 metres/min   speed of the truck : speed of the train   =550:33000/45 = 55:3300/45 = 5:300/45   1:60/45 = 1:4/3 = 3:4   3:4NSWER 3:4
Answer: A
A small person is walking on the edge of a meter-stick. He can only take centi-meter sized steps. He repeats the following process of walking forward 12 steps and backwards 6 steps. How many steps in total will he walk until he falls off the meterstick? Choose the correct choice from the following
A) 179 B) 240 C) 280 D) 100 E) 155

Solution: His overall steps are +6   take 100 - 6   take 94/6 to lowest divisible number - 90/6   This means that it will take 15 "overall" actions to reach the 90th centimeter. -15*18 steps added later   Set steps at 90. walk 10 steps. fall off - add 10 to total   15*18 + 10= 
15*18 + 10 = 280
280 steps in total   Double checking, 6*15= 90, meaning that it took 15 forwards and backwards to reach.   It is dangerous to oversimplify so take context. For each average steps, adding 12 each time will ensure that it is a valid process that will not resulting in falling off the meter stick. At 15 overall, he falls off. but at 14, 6*14 = 84, adding 12 we get 96 which does not result in him falling off. It is completely safe to say 15 overall steps do not result in falling off.   From there, take 10 steps an on the 11th, not counted, he falls off since he was at 90.   All that's left is to count the total steps.   each overall step has 18 steps, 12 forward and 6 backward   18*15= 
18*15 = 270
270   then add the final steps  270 +10= 
 270 +10 = 280
280   Answer: 280
Answer: C
If 1 + x^4 + x^3 + x^2 + x = 80, then the average (arithmetic mean)E of x, x^2, x^3, x^4 and x^5 is equal to which of the following?	Choose the correct answer:
A) 12x
B) 13x
C) 14x
D) 16x
E) 20x

Solution: 1 + x^4 + x^3 + x^2 + x = 81   i.e. 1 +x+ x^2+ x^3+ x^4 = 81   x+ x^2+ x^3+ x^4 = 80   x(1 +x+ x^2+ x^3) = 80   x(81-x^4) = 80   81x - x^5 = 80   x^5 = 81x -80   Now x+ x^2+ x^3+ x^4+ x^5 = 80 + 81x -80 = 81x   Average of E{x, x^2, x^3, x^4, x^5} 80 + 81  -80= 
80 + 81  -80 = 81
81x   Average of E{x, x^2, x^3, x^4, x^5}= 81x/5 ~ 16x   Answer16x
Answer: D
Victor gets 90% marks in examinations. If these are 405 marks, find the maximum marks.	Pick one:  A) 334  B) 500  C) 376  D) 450  E) 271

Solution: Let the maximum marks be m   Then 90 % of m = 405   ⇒ 90/100 × m = 405   ⇒ m = (405 × 100)/90   ⇒ m = 40500/90= 
40500/90 = 450
450   Therefore, maximum marks in the examinations are 450   Answer: 450
Answer: D
A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee. Find his net profit or loss percent? Choose the correct choice:
A) 33 4/3 %	B) 33 1/7 %	C) 33 1/3 %	D) 32 1/3 %	E) 33 2/3 %

Solution: The total number of mangoes bought by the shopkeeper be 12.   If he buys 4 a rupee, his 33 1/3 %P = 3   He selling at 3 a rupee, his SP = 4   Profit = SP - 33 1/3 %P = 4 - 3= 
4 - 3 = 1
1   Profit Percent= 1/3 * 100 = 33 1/3 %   Answer:33 1/3 %
Answer: C
A takes twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 6days. B can do the work alone in?	Choose the correct choice from the following options.
A) 18
B) 20
C) 25
D) 32
E) 36

Solution: Suppose A,B,C takes x,x/2,x/3 hours to finish the work   Then, 1/x + 2/x + 3/x = 1/6   6/x = 1/6   x = 36   Answer is 36
Answer: E
The value of a 10.5% stock, in which an income of Rs.756 is derived by investing Rs.9000, brokerage being% is :
Choose the most appropriate option.
A) Rs. 120	B) Rs. 121.3	C) Rs. 124.75	D) Rs. 125.50	E) Rs. 126.87

Solution: For an income of Rs.756, investment = Rs.9000   For an income of Rs., investment = = Rs.125   For a Rs.100 stock, investment = Rs.125.   Market value of Rs. 100 stock = = Rs. 124.75   Rs. 124.75
Answer: C
Which of these following integers is the square of an integer?
Choose the correct choice from the following choices
A) 20579623936 B) 20325623947 C) 20946623822 D) 20459623463 E) 20232623378

Solution: The unit digit of any perfect square can not be 2, 3, 7, or 8.   The answer is 20579623936.
Answer: A
In a certain circle there are 10 points. What is the number of the triangles connecting 2 points of the 10 points?	Options:  A) 40  B) 45  C) 108  D) 120  E) 132

Solution: IMO : B   HERE we have to select 2 points out of 10 points. Order is not important   So the answer will be 10c2 = 45   Answer 45
Answer: B
Can you find out how many prime numbers that are less than 75 will leave an odd reminder when divided by 5?	Pick one.
A) 15  B) 10  C) 11  D) 13  E) 18

Solution: 11   We are looking at the numbers in the form of 5k +1 or 5k + 3   i.e The number ends in 1 or 3   If we jot down all such numbers, there are 16 in total:   1, 3, 11, 13, 21, 23, 31, 33, 41, 43, 51, 53, 61, 63, 71 and 73   Now, let us remove the ones that are not prime and we have the answer as:   3, 11, 13, 23, 31, 41, 43, 53, 61, 71 and 73
Answer: C
During a special promotion, a certain filling station is offering a 8 percent discount on gas purchased after the first 10 gallons. If Kim purchased 20 gallons of gas, and Isabella purchased 25 gallons of gas, then Isabella‟s total per-gallon discount is what percent of Kim‟s total per-gallon discount?	Choose the most appropriate option:
A) 80%
B) 105%
C) 115%
D) 120%
E) 140%

Solution: Kim purchased 20 gallons of gas. She paid for   4 + 0.9*16= 
  4 + 0.9*16 = 18.4
18.4 gallons, so the overall discount she got was 1.6/20= 8%.   Isabella purchased 25 gallons of gas. She paid for   4 + 0.9*21= 
  4 + 0.9*21 = 22.9
22.9 gallons, so the overall discount she got was 2.1/25= 8.4%.   8.4/8*100= 
8.4/8*100 = 105
105% .   Answer: 105%.
Answer: B
Find the next number in the series below ?
298 209 129 58 ?  Choose the correct choice from the following: A) 5 B) 10 C) -4 D) -10 E) 0

Solution: -4   -4   298 less 209 is 89   209 less 129 is 80   129 less 58 is 71   58 less -4 is 62   The result of each subsequent equation is 9 less than the previous one.
Answer: C
An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
Choose the correct choice from the following choices:	A) 33 1/6	B) 33 1/9	C) 33 1/3	D) 33 1/2	E) 33 1/23

Solution: 675 ---- 225   100 ---- ? => 33 1/3%   Answer: 33 1/3
Answer: C
What should come in place of the question mark (?) in the following number series?
11 18 27 38 51 ?	Choose the correct choice from the following options.
A) 63
B) 64
C) 65
D) 66
E) 67

Solution: The numbers increase by 7, 9, 11, 13,...   The next number should be   51+15= 
  51+15 = 66
66   The answer is 66.
Answer: D
A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?	Choose the correct choice from the following answers:
A) Rs. 500
B) Rs. 1500
C) Rs. 2000
D) Rs. 2500
E) none of the above

Solution: Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.   Then, 4x - 3x = 1000   x = 1000.   B's share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000.   Answer = Rs. 2000
Answer: C
What is the smallest number Q which when increased by 5 is completely divisible by 8, 11 and 24?	Choose the most appropriate option
A) 264	B) 259	C) 269	D) 270	E) 282

Solution: This question includes a number of great Number Property shortcuts that you can take advantage of:   1) The question asks for the SMALLEST number that, when increased by 5 is divisible by 8, 11 and 24. Since the answers are numbers, we can TEST THE ANSWERS.   2) Any number that is divisible by 24 is ALSO divisible by 8, so we really just need to consider the 11 and the 24.   3) To be divisible by 24, the end number MUST be EVEN. Since we're adding 5 to get to that end number, the starting number MUST be ODD.   The last shortcut allows us to eliminate Answers A, D and E. Between Answers B and C, TESTING B first will prove that, when increased by 5, the end sum is divisible by both 11 and 24.   Final Answer:   259
Answer: B
In a 600 m race, the ratio of the speeds of two contestants A and B is 5 : 4. A has a start of 100 m. Then, A wins by: Choose the correct choice from the following options:
A) 200 m B) 20 m C) 403 m D) 20 m E) 23 m

Solution: To reach the winning post A will have to cover a distance of (600 - 100)m, i.e., 500 m.   While A covers 5 m, B covers 4 m.   While A covers 500 m, B covers 4 x 500/5	m	= 400 m.   Thus, when A reaches the winning post, B covers 400 m and therefore remains 200 m behind.   A wins by 200 m.   200 mnswer:	200 m
Answer: A
The ratio of incomes of two person P1 and P2 is 5 : 4 and the ratio of their expenditures is 3 : 2. If at the end of the year, each saves Rs.2200, then what is the income of P1?
Options: A) s.800 B) s.2400 C) s.4000 D) s.5500 E) s.4200

Solution: Let the income of P1 and P2 be Rs. 5x and Rs.4x respectively and let their   expenditures be Rs.3y and 2y respectively.   Then, 5x – 3y = 2200 …(i) and 4x – 2y = 2200 ……..(ii)   On multiplying (i) by 2, (ii) by 3 and subtracting, we get : 2x = 2200 -> x = 1100   P1’s income = Rs 5*1100 = Rs.5500   ANSWER:s.5500
Answer: D
(935421 x 625) = ?	Choose the correct option: A) 584638125 B) 542622125 C) 584632125 D) 544638125 E) 584638125

Solution: Explanation :   935421×625=935421×5^4=935421×(10/2)^4=(935421×10000)/16=584638125   584638125nswer is 584638125
Answer: A
The number m yields a remainder p when divided by 10 and a remainder q when divided by 7. If p = q + 7, then which one of the following could be the value of m ? Choose the correct choice from the following choices:
A) 45
B) 57
C) 72
D) 85
E) 100

Solution: I solved this question in the following way:   Q<7 so Q can be from 0 to 6 and P<10 so P can be from 0 to 9, BUT the constraint is P=Q +7 so this will mean that P can be in the range from 7 to 9.   m=10k + P or m= 10k + 7 to 9 and look at the answer as, place different values for k, 57 will give 57 which is 10*5 + 7, the other answers are out of the range
Answer: B
Which of the following is a parallelogram?  Choose the correct choice from the following options: A) 120,60,120,60(angle in deg) B) 120,30,130,20(angle in deg) C) 95,95,90,90(angle in deg) D) a & c E) none

Solution: sum of adjacent angles is 180 degrees.   120,60,120,60(angle in deg)NSWER:120,60,120,60(angle in deg)
Answer: A
Billy worked for three straight hours on his homework questions. If he solved 132 questions in the third hour, which was twice as many as he solved in the second hour, and three times as many questions as he solved in the first hour, how many questions did he solve total?	Choose the correct option:
A) 242
B) 312
C) 424
D) 525
E) 622

Solution: Total questions solved= questions solved in 3rd hr+ in 2nd hr +in 1st hr     132 +132/2 +132/3= 
  132 +132/2 +132/3 = 242
242   242 is the answer
Answer: A