MU-NLPC/Calc-aqua_rat huggingface dataset:
A fruit vendor purchased 20 dozens of bananas at Rs. 15 per dozen. But one-fourth of the bananas were rotten and had to be thrown away. He sold two-third of the remaining bananas at Rs. 22.50 per dozen. At what price per dozen should he sell the remaining bananas to make neither a profit nor a loss?
Select the correct option:	A) 18	B) 15	C) 16	D) 19	E) 11

Solution: CP of 20 dozen of bananas = 15 * 20 = Rs. 300   Number of bananas which are rotten = 1/4 * 20= 
1/4 * 20 = 5
5 dozen.   SP of two-third of remaining bananas= (2/3 * 15) * 22.5 = Rs. 225   SP of remaining 5 dozens of bananas to make no profit and no loss =(300 - 225) = Rs. 75.   SP of 1 dozen bananas = 75/5 = Rs. 15.Answer:15
Answer: B
Express a speed of 42 kmph in meters per second?	Choose the correct choice
A) 10 mps  B) 18 mps  C) 19 mps  D) 17 mps  E) 12 mps

Solution: 42 * 5/18   = 12 mps   Answer:12 mps
Answer: E
How many 3 digit positive integers W exist that when divided by 7 leave a remainder of 5?  Options.
A) 128
B) 142
C) 143
D) 141
E) 129

Solution: Minimum three digit number is 100 and maximum three digit number is 999.   The first three digit number that leaves remainder 5 when divided by 7 is 103.   14 * 7= 
14 * 7 = 98
98 +5= 
98 +5 = 103
103   The second three digit number that leaves remainder 5 when divided by 7 is 110.   15 * 7= 
15 * 7 = 105
105 +5= 
105 +5 = 110
110   The third three digit number that leaves remainder 5 when divided by 7 is 117   and so on   The last three digit number that leaves remainder 5 when divided by 7 is 999   142 * 7= 
142 * 7 = 994
994 + 5= 
994 + 5 = 999
999   Therefore, we identify the sequence   103,110,117.....999   use the formula of last term   Last term= first term + (n - 1) * common difference   you will get the answer 129 that is definitely 129.
Answer: E
With respect to the division whose percent of total income exceeded its percent of total expenses by the greatest amount among the four divisions, by approximately what amount did the division's income exceed its own expenses ?
Division A :. 38%
Division B : 12%
Division C : 30%
Division D : 20% Choose the correct choice from the following answers.
A) $ 69,000  B) $ 90,000  C) $ 150,000  D) $ 185,000  E) $ 240,000

Solution: Division A's percent of total income exceeded its percent of total expenses by 38%-35%=3%;   Division B's percent of total income did not exceeded its percent of total expenses, 12%-26%38 -35= 
38 -35 = 3
3%;   Division B's percent of total income did not exceeded its percent of total expenses, 12%-26%=-14%;   Division C's percent of total income exceeded its percent of total expenses by 20%-14%=6%;   Division D's percent of total income exceeded its percent of total expenses by 30%-25%20 -14= 
20 -14 = 6
6%;   Division D's percent of total income exceeded its percent of total expenses by 30%-25%=5%;   Since division C's difference is the greatest then we should calculate the amount of this difference in $: 0.20*1,560,000-0.14*495,00030 -25= 
30 -25 = 5
5%;   Since division C's difference is the greatest then we should calculate the amount of this difference in $: 0.20*1,560,000-0.14*495,000=~240,000.   Answer: $ 240,000.
Answer: E
In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?
Choose the correct choice from the following:
A) 33
B) 389
C) 40
D) 38
E) 22

Solution: Explanation:   Let the required number of days be x.   Less cows, More days (Indirect Proportion)   Less bags, Less days (Direct Proportion)   {\color{Blue} \left.\begin{matrix} Cows & 1:40\\ Bags& 40:1 \end{matrix}\right\}:: 40:x}   {\color{Blue} \therefore }1 x 40 x x = 40 x 1 x 40   {\color{Blue} \Rightarrow } x = 40.   Answer: 40) 40
Answer: C
On the coordinate plane , points M and Q are defined by the coordinates (-1,0) and (3,3), respectively, and are connected to form a chord of a circle which also lies on the plane. If the area of the circle is (25/4) π , what are the coordinates of the center of the circle ?	Choose the correct choice from the following answers:
A) (1.5,1) B) (2,-5) C) (0,0) D) (1,1.5) E) (2,2)

Solution: Although it took me 3 mins to solve this question using all those equations, later I thought this question can be solved easily using options.   One property to keep in mind - A line passing through the centre of the circle bisects the chord (or passes from the mid point of the chord).   Now mid point of chord here is (-1+3)/2, (3+0)/2 i.e. (1,1.5) now luckily we have this in our Ans. choice. so definitely this is the ans. It also indictaes that MQ is the diameter of the circle.   There can be a case when MQ is not a diameter but in that case also the y-coordinate will remain same as it is the midpoint of the chord and we are moving up in the st. line to locate the centre of the circle.   If ans choices are all distinct (y cordinates) ONLY CHECK FOR Y COR(1,1.5)INATE and mark the ans=(1,1.5)
Answer: D
How many multiples of 4 are there between 1 and 100, inclusive?
Choose the most appropriate option:	A) 25	B) 22	C) 23	D) 30	E) 36

Solution: 25   multiples of 4 between 1 and 100 inclusive.   from 4 * 1 upto 4 *25, (1,2,3,4,...,25). Hence, 25 multiples !   correct option is 25
Answer: A
21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement.	Pick one:
A) 3/41
B) 2/45
C) 9/42
D) 5/46
E) 5/47

Solution: The probability that first toy shows the even number,   =1021=1021   Since, the toy is not replaced there are now 9 even numbered toys and total 20 toys left.   Hence, probability that second toy shows the even number,   =920=920   Required probability,   =(1021)×(920)=(1021)×(920)   =9/42   9/42
Answer: C
3,7,12,18,25..............9th terms Pick:
A) 43
B) 53
C) 63
D) 65
E) 78

Solution: 3+4= 
3+4 = 7
7   7+5= 
7+5 = 12
12   12+6= 
12+6 = 18
18   18+7= 
18+7 = 25
25   25+8= 
25+8 = 33
33   33+9= 
33+9 = 42
42   42+10= 
42+10 = 52
52   52+11= 
52+11 = 63
63   ANSWER:63
Answer: C
If taxi fares were $1.00 for the first 1/5 mile and $0.45 for each 1/5 mile there after, then the taxi fare for a 3-mile ride was
Choose the correct choice.
A) $1.56 B) $2.40 C) $3.80 D) $4.20 E) $7.30

Solution: In 3 miles , initial 1/5 mile charge is $1   rest of the distance = 3 - (1/5) = 14/5   rest of the distance charge = 14(0.45) = $6.3 (as the charge is 0.45 for every 1/5 mile)   => total charge for 3 miles = 1+6.3= 
1+6.3 = 7.3
7.3   Answer is $7.30.
Answer: E
If A:B = 1/2: 1/4 B:C = 1/2:1/4 then A:B:C?  Choices.
A) 12:24:36	B) 1:2:3	C) 4:14:24	D) 12:8:16	E) 16:8:4

Solution: A:B = 1/2:1/4 = 4:2   B:C = 1/2:1/4 = 4:2   --------------------   A:B:C = 16:8:4   Answer: 16:8:4
Answer: E
A family consists of grandparents, parents and three grand children. The average age of the grandparents is 67 years, that of the parents is 39 years and that of the grandchildren is 6 years. What is the average age of the family?
Choose the correct choice
A) 28 4â„7 years  B) 31 5â„7 years  C) 32 6â„7 years  D) 27 1â„2 years  E) None of these

Solution: Required average = (67Ã—2+39Ã—2+6Ã—3/2+2+3)   =230/7   = 32 6â„7 years   Answer 32 6â„7 years
Answer: C
66 cubic centimeters of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:	Choose the correct answer:
A) 44 m  B) 84 m.  C) 89 m  D) 83 m  E) 42 m

Solution: Let the length of the wire be h.   Radius =1/2 mm=	1/20	cm.	Then,   = 22/7 x	1/20	x 1/20 x h = 66.   h =	66 x 20 x 20 x 7/22	= 8400 cm = 84 m.   Answer: 84 m.
Answer: B
A manufacturing plant produces 2 products (bolts and screws). 3% of all products are defective. If the ratio of products made is 3:2, respectively, and the percentage of bolts defective 5%, what percentage of screws are defective?  Choose the correct choice from the following answers:
A) 1/3%  B) 3%  C) 5%  D) 5/2%  E) 5/3%

Solution: Let B and S be number bolts and screws, respectively, and d represent defective.   B + S = total products.   B:S = 2:3   Bd/B = 5%   Sd/S = ?   [(2)(Bd/B) + (3)(Sd/S)]/(2 + 3) = 3%   [(2)(5%) + (3)(Sd/S)]/5 = 3%   Sd/S = 5/3%   Answer: 5/3%
Answer: E
Two vessels contains equal number of mixtures milk and water in the ratio 3:2 and 4:1. Both the mixtures are now mixed thoroughly. Find the ratio of milk to water in the new mixture so obtained? Choose the correct choice from the following options.
A) 1:3 B) 9:13 C) 5:11 D) 7:3 E) 15:4

Solution: The ratio of milk and water in the new vessel is = (3/5 + 4/5) : (2/5 + 1/5)   = 7/5 : 3/5 = 7:3   Answer is 7:3
Answer: D
An employer pays Rs.20 for each day a worker works and for feits Rs.3 for each day is ideal at the end of sixty days a worker gets Rs.280 . for how many days did the worker remain ideal? Choices:
A) 20	B) 30	C) 40	D) 50	E) 60

Solution: if he work for 20 days then he get =20*20=Rs.400   and left 40 days he will not work so for this employer feits Rs.120   now total earning of a worker =400-120= 
400-120 = 280
280   40 days he will be ideal   ANSWER:40
Answer: C
In how many ways, a committee of 5 members can be selected from 6 men and 5 ladies, consisting of 3 men and 2 ladies?	Choose the correct option.
A) 423  B) 456  C) 264  D) 200  E) 154

Solution: (3 men out 6) and (2 ladies out of 5) are to be chosen.   Required number of ways = (6c3x5c2)   = [6x5x4/3x2x1] x [5x4/2x1]   = 200.   Ans: 200
Answer: D
The product of x and y is a constant. If the value of x is increased by 20%, by what percentage must the value of y be decreased?	Pick.
A) 16.66%	B) 33.33%	C) 44.44%	D) 55.55%	E) 19.92%

Solution: x*y = constt.   Let x = y = 100 in beginning   i.e. x*y = 100*100= 
100*100 = 10_000
10000   x (100) ---becomes---> 1.2x (120)   i.e. 120*New 'y'= 10000   i.e. New 'y' = 10000/120 = 83.33   i.e. y decreases from 100 to 83.33 i.e. Decrease of 16.66%   16.66%nswer: option 16.66%
Answer: A
If there are 200 questions in a 3 hr examination. Among these questions are 50 type A problems, which requires twice as much as time be spent than the rest of the type B problems. How many minutes should be spent on type A problems? Choose the correct option
A) 72 min B) 62 min C) 70 min D) 74 min E) 76 min

Solution: x=time for type B prolems   2x=time for type 72 min problem   total time=3hrs=180min   150x+50*2x=180   x=180/250= 
180/250 = 18/25 = around 0.72
0.72   time taken for type 72 min problem=50*2*0.72= 
50*2*0.72 = 72
72min   72 minNSWER:72 min
Answer: A
Lily shop runs a sale on goldfish and platys. If one customer buys 13 goldfish and 12 platys for $5.60, and another buys 14 goldfish and 21 platys for $8.05, what is the ratio of the price of goldfish to platys? Choose the correct choice from the following options:  A) 0.8  B) 0.75  C) c) 8/9  D) 5/7  E) 6/8

Solution: The approach of plugging in the numbers is a fine approach. But, in this case, the answer was the first option and thus, by plugging in a number in the ration given, we arrived at the answer quickly!   However, what if the correct ratio was option D or C?   In any case, the algebraic solution isn't that complex if you realize a key concept:   The number 7 can be factored out of the second equation!   Here's the working: Lily shop runs a sale on goldfish and platys.   13x + 12y = 5.60 <<<<< Equation 1   14x + 21y = 8.05 <<<<< Equation 2   2x + 3y = 1.15 [Factor Out 7 from equation 2] <<<<< Equation 3   8x + 12y = 4.6 [Multiply Equation 3 with 4]   5x = 1.0 [Equation 1 - Equation 2]   x = 0.2   3y = 1.15 - 0.4= 
1.15 - 0.4 = 0.75
0.75 [Substitute for x in Equation 1]   y= 0.25   x/y = 0.2/0.25 = 20/25 = 4/5= 
4/5 = 4/5 = around 0.8
0.8 [Answer A]   The whole thing must have taken me about 45 s :5/7
Answer: D
If t is a positive integer and 10^t – 74 in decimal notation has digits whose sum is 440, what is the value of t?  Choose the correct choice:
A) 40
B) 44
C) 45
D) 46
E) 50

Solution: Answer E = 50   We have (10^t)-74, where the sum of the digits is 440.   100-74= 
100-74 = 26
26, so we already have   2+6= 
  2+6 = 8
8 from the 440.   Because we have a power of 10, we will have numbers like 100, 1000, 10000 and so on. This minus 74 rests 26 and a lot of 9s. E.g: 1000-74= 9926.   So dividing the  432/9= 
 432/9 = 48
48, that`s the number of 9s. and we have 2 other numbers (2 and 6) wich were 00 before the subtraction.   So we have   48 + 2= 
  48 + 2 = 50
50
Answer: E
The weight of a glass of jar is 15% of the weight of the jar filled with coffee beans. After some of the beans have been removed, the weight of the jar and the remaining beans is 60% of the original total weight. What fraction part of the beans remain in the jar? Pick:
A) 1/5
B) 1/3
C) 2/5
D) 9/17
E) 9/23

Solution: Let weight of jar filled with beans = 100 g   Weight of jar = 15 g   Weight of coffee beans = 85 g   Weight of jar and remaining beans = 60 g   Weight of remaining beans = 45 g   Fraction remaining = 45/85 = 9/17   Answer is 9/17.
Answer: D
3*12+3*13+3*16+11 = ?	Choose one
A) 122  B) 126  C) 134  D) 148  E) 151

Solution: 3*12+3*13+3*16+11 = 36 + 39 + 48 + 11= 
36 + 39 + 48 + 11 = 134
134   The answer is 134.
Answer: C
A, B and C started a business A's investment is 2 times of B's investment is 5 times of C's investment. Find the profit of B in the total profit of Rs. 8000. Select:
A) Rs. 2500
B) Rs. 8500
C) Rs. 7200
D) Rs. 8000
E) None of these

Solution: Explanation:   A = 2B and B = 5C   => A : B = 2 :1and B : C = 5 : 1   => A : B : C = 10 : 5 : 1   Ratio of capitals of A, B and C = 10 : 5 : 1   B's share = Rs.[(5/16) × 8000] = Rs. 2500   Rs. 2500nswer: Option Rs. 2500
Answer: A
if integer N has p factors ; how many factors will 4N have ?	Choose one:
A) p
B) 2p
C) P+1
D) 2p+1
E) Cannot be determined

Solution: Case 1:   Let N = 6 => 2 x 3 (prime factorization) => p = 4;   4N = 24 => no. of factors = 8; (p*2)   Case 2:   Let N = 9 => 3^2 (prime factorization) => p = 3;   4N = 36 => > no of factors = 9; (3p)   For different N different results are observed. So, shouldn't Cannot be determined be the right answer?
Answer: E
A batsman scored 130 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets? Choices
A) 53.85%  B) 40%  C) 60%  D) 70%  E) 80%

Solution: Number of runs made by running = 130 - (3 x 4 + 8 x 6)   = 130 - (60)= 
130 - (60) = 70
70   Now, we need to calculate 70 is what percent of 130.=> 70/130 x 100 = 53.85 %   53.85%NSWER:53.85%
Answer: A
Mary works in a restaurant a maximum of 70 hours. For the first 20 hours, she is paid $8 per hour. For each overtime hour, she is paid at a rate which is 25% higher than her regular rate. How much Mary can earn in a week? Choose the correct choice from the following answers:
A) 600
B) 620
C) 660
D) 320
E) 400

Solution: Mary receives $8(20)=$160 for the first 20 hours.   For the 50 overtime hours, she receives $8(0.25) +$8 = $10 per hour, that is $50(20)=$500.   The total amount is $160+$500 = $660   Answer 660 660.160+ 500= 
160+ 500 = 660
$660   Answer 660 660.
Answer: C
IN Common Wealth Games an athlete runs 200 meters in 36 seconds. Hisspeed is ? Select
A) 25 km/hr  B) 27 km/hr  C) 30 km/hr  D) 20 km/hr  E) None of these

Solution: Explanation :   (200/1000)/(36/3600)= 
(200/1000)/(36/3600) = 20
20 km/hr   Answer : 20 km/hr
Answer: D
A train passes a platform in 25 seconds. The same train passes a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, The length of the platform is  Pick
A) 75 B) 25 C) 26 D) 23 E) 22

Solution: Speed of the train = 54 km/hr = (54×10)/36 m/s = 15 m/s   Length of the train = speed × time taken to cross the man = 15×20 = 300 m   Let the length of the platform = L   Time taken to cross the platform = (300+L)/15   => (300+L)/15 = 20   => 300+L = 15×25 = 375   => L = 375-300= 
375-300 = 75
75 meter   75nswer is 75.
Answer: A
Calculate the percentage increase in the area of a square if each of its sides is increased by 15%?  Options
A) 32.25%
B) 39.25%
C) 36.25%
D) 35.25%
E) 31.25%

Solution: 32.25%ssume original length = 100m by 50m   original area = 100*50= 
100*50 = 5_000
5000   15% increase on each side   l= 100 + 15= 
100 + 15 = 115
115   w= 50 + 7.5= 
50 + 7.5 = 57.5
57.5   new area= 115*57.5= 
115*57.5 = 6_612.5
6612.5   increase in area= 6612.5 - 5000= 
6612.5 - 5000 = 1_612.5
1612.5   %increase=21%   32.25%nswer 32.25%
Answer: A
Laura has a deck of standard playing cards with 12 of the 60 cards designated as aheart.If Laura shuffles the deck thoroughly and then deals 10 cards off the top of the deck, what is the probability that the 10th card dealt is a heart? Choose the correct choice from the following options: A) 1/4 B) 1/5 C) 5/26 D) 12/42 E) 13/42

Solution: No replacement there, 10 cards are dealt and we are asked to find the probability that 10th card is a heart.   If there is no replacement then how is the (P) that the 10th card is 12/60 ??   there are many cases here to be considered here if there is no replacement such as:   H- Denotes heart X-may be any diamond, spade or club.   1. HXXXXXXXXH   2. HHXXXXXXXH   3. HHHXXXXXXH   .   .   .   .   .   9. HHHHHHHHHH   10. XXXXXXXXXH   All cases from 1 to 10 will have different probabilities for heart to be at the 10th place and it will take hell lot of time to calculate all of them.   For according to me the above solution by Ian is only valid if cards are replaced (Every card has a 12/60 = 1/6 chance of being a heart; it doesn't matter if it's the top card in the deck or the tenth card in the deck.)If that's the case that brings back me to my original question ----how do we determine that the cards are replaced or not?? based on the question given ....   1/5
Answer: B
How many pieces of 8.6 metres length cloth can be
cut out of a length of 455.8 metres cloth?
Choose the correct choice from the following
A) 43
B) 48
C) 55
D) 53
E) 68

Solution: Number of pieces =455.8 /8.6= 
455.8 /8.6 = 53
53   Answer 53
Answer: D
In store A there are 30 pairs of pants for every 60 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores A earned to the total amount store B earned?	Choose the correct choice from the following options
A) 3:16.
B) 2:3.
C) 1:3.
D) 3:4.
E) 2:5.

Solution: 1st statement : ratio of pants   Store A : Store 2:3.   30x : 60x   X:2X   Price :   4y:3y   Total revenue   4xy : 6xy   2:3   Answer is 2:3.
Answer: B
how many four digits numbers are formed such that the digits are in decreasing order
Choose the correct choice from the following answers
A) 210  B) 220  C) 230  D) 240  E) 250

Solution: START with 3 = 3_ _ _. You can fill in with digits 0,1,2. Hence 3C3 = 1   START with 4 = 4_ _ _. (0,1,2,3). hence 4C3= 4   START with 5, you have (0,1,2,3,4) to fill in the blanks behind 5, hence 5C3 = 10   START with 6, 6C3=20   7... = 7C3 = 35   8...=8C3 = 56   9...= 9C3 = 84   so ans=1+4+10+20+35+56+84= 
1+4+10+20+35+56+84 = 210
210   210NSWER:210
Answer: A
A certain company’s profit in 1996 was 10 percent greater than its profit in 1995, and its profit in 1997 was 20 percent greater than its profit in 1996. The company’s profit in 1997 was what percent greater than its profit in 1995? Choose the correct answer:
A) 5%
B) 18%
C) 32%
D) 35%
E) 38%

Solution: Profit in 1995 - 100   Profit in 1996 - 110   %increae Profit in 1997 in comparison to 1995 = 10 + 110*20%= 32   32%orrect Option : 32%
Answer: C
Best friends Sprite and Icey have are playing a game of marbles. They invite 1 of their friends to play with them. There are 36 marbles in the bag. If all 3 people are playing, how many marbles does each person get? Choices:
A) 3  B) 12  C) 5  D) 6  E) 7

Solution: Answer= 12   36 / 3= 
36 / 3 = 12
12   Answer= 12
Answer: B
A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 50, the runs scored by B are?
A. 15 B. 18
Select the correct option
A) 12 B) 18 C) 99 D) 77 E) 24

Solution: 12:B = 2:3   B:C = 2:5   12:B:C = 4:6:15   6/25 * 50= 
6/25 * 50 = 12
12   12nswer: 12
Answer: A
For how many integers pair (x,y) satisfies the result
(1/x)+((1/y)=1/17	Select.
A) a) 12 B) b) 6 C) c) 10 D) d) 17 E) e) 32

Solution: It seems that the accepted answer is wrong, according to WolframAlpha. The answer should be 27, which isn't even listed as a selectable answer.   d) 17
Answer: D
Find the largest 4 digit number which isexactly divisible by 88?
Select the correct option:
A) 3454 B) 4586 C) 9944 D) 10564 E) 18664

Solution: Largest 4 digit number is 9999   After doing 9999 ÷ 88 we get remainder 55   Hence largest 4 digit number exactly divisible by 88 = 9999 - 55= 
9999 - 55 = 9_944
9944   9944
Answer: C
After 6 games, team B had an average of 75 points per game. If it got only 47 points in game 7, how many more points does it need to score to get its total above 500?  Choose the most appropriate option:
A) 5
B) 4
C) 7
D) 3
E) 8

Solution: (6*75) + 47 +x >500   450+47+x > 500   497+x >500   => x>3   Option 3
Answer: D
If the area of a circle is 81pi square feet, find its circumference.  Choose the correct answer.
A) 8  B) 28  C) 18  D) 48  E) 38

Solution: The area is given by pi × r × r. Hence   pi × r × r = 81 pi   r × r = 81 ; hence r = 81 feet   The circumference is given by   2 × pi × r = 2 × pi × 9 = 18 pi feet   correct answer 18
Answer: C
The average age 7 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?	Select:
A) 14 years B) 17 years C) 18 years D) 12 years E) 11 years

Solution: 7 * 2= 
7 * 2 = 14
14   14 yearsnswer:14 years
Answer: A
If n = 2cd, where c and d are distinct prime numbers greater than 2, how many different positive even divisors does n have, including n ? Pick one:
A) Two  B) Three  C) Four  D) Six  E) Eight

Solution: Answer - 'C' - Four.   For a number 2cd with primes cd,there will be four even divisors - 2,2*c,2*d,2*c*d
Answer: C
Mike needs 30% to pass. If he scored 212 marks and falls short by 13 marks, what was the maximum marks he could have got?  Choose the correct choice from the following choices.
A) 343
B) 377
C) 750
D) 367
E) 232

Solution: If Mike had scored 13 marks more, he could have scored 30%   Therefore, Mike required 212 + 13= 
212 + 13 = 225
225 marks   Let the maximum marks be m.   Then 30 % of m= 225   (30/100) × m = 225   m = (225 × 100)/30   m = 22500/30= 
22500/30 = 750
750   Answer:750
Answer: C
Pankajam bought an electric drill at 80% of the regular price.
She paid $32.80 for the drill. What was the regular price? Pick
A) $28.69	B) $18.69	C) $38.69	D) $58.69	E) $41.00

Solution: Regular price = 32.80/80*100= 
32.80/80*100 = 41
41   Answer : $41.00
Answer: E
What is the lowest possible common multiple M of 2 distinct integers, each greater than 329? Answers: A) 330·331 B) 330^2 C) 33·331 D) 660 E) 330

Solution: Lowest possible common multiple M of 2 distinct integers will have to be multiple of the number greater than 329...which 330..   so one number will be 330...another one will be 660..   Ans is 660.
Answer: D
A cubical block of metal weighs 5 pounds. How much will another cube of the same metal weigh if its sides are twice as long?
Answers.
A) 48 B) 40 C) 24 D) 18 E) 12

Solution: For example our cube have a side 1 meter, so we have 1 cubical meter in this cube   and this cubical meter weigth 5 pounds   If we take cube with side 2 meters we will have 8 cubical meters in this cube   8 meters * 5 pounds = 40 pounds   So answer is 40   And similar but more theoretical approach:   if we have sides a and b than they have equal ration with their areas:   a/b = a^2/b^2   and they have equal ration with their volumes:   a/b = a^3/b^3   we have two sides 1/2 so their volume will be in ratio 1/8   weight of one cube * volume of another cube     5 * 8= 
  5 * 8 = 40
40   So answer is 40
Answer: B
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is: Select the correct option.
A) 200 m B) 225 m C) 245 m D) 250 m E) 240 m

Solution: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30 = 25/2 => 2(130 + x) = 750 => x = 245 m.   ANSWER:245 m
Answer: C