MU-NLPC/Calc-aqua_rat huggingface dataset:
The length of 3 rods are in the ratio 4 : 5 : 6. If the sum of the weights of the longest and the shortest rod is 10 metres more than the length of the third rod, what is the length of the shortest rod?	Select the correct option:	A) 21m	B) 20m	C) 8m	D) 18m	E) of these

Solution: Let the length of the three rods be 4k, 5k and 6k respectively.   4k + 6k = 5k + 10   => 5k = 10 => k = 2   Therefore the weight of the lightest boy   = 4k = 4(2) = 8 m.   ANSWER:8m
Answer: C
How many integers are between 5 and 74/5, inclusive?  Options:  A) 4  B) 5  C) 7  D) 8  E) 10

Solution: 74/5 = 14.xx   We are not concerned about the exact value of 74/5 as we just need the integers.   The different integers between 5 and 74/5 would be 5, 6, 7, 8, 9, 10, 11, 12,13,14.   Total number of integers = 10   Option 10
Answer: E
A diner is having lunch at a salad bar. There are three types of lettuce to choose from, as well as four types of tomatoes, and five types of olives. If the diner picks one type of lettuce, one type of tomato, and one type of olive for the salad, how many total options does the diner have for the salad? Choose the correct choice from the following options: A) 20 B) 30 C) 40 D) 50 E) 60

Solution: 3*4*5= 
3*4*5 = 60
60   The answer is 60.
Answer: E
There is a sequence A(n) such that A(n+1)=2A(n)-1 and A(1)=3, where n is a positive integer. What is the value of A(56)-A(55)?  Choices:
A) 2^22+1
B) 2^23
C) 2^23+1
D) 2^55
E) 2^23+1

Solution: A1= 3   A2= 2*3-1= 
2*3-1 = 5
5   A3= 2*5-1= 
2*5-1 = 9
9   A4= 2*9-1= 
2*9-1 = 17
17   We can notice that there is a squence   A2-A1= 2^1   A3-A2= 2^2   A4-A3= 2^3   Hence A56-A55= 2^55   2^55 is the answer
Answer: D
What is 3/7 of 7/8 of 1/3? Choices.
A) 1/4 B) 3/8 C) 9/16 D) 1/8 E) 16/9

Solution: 3/7 * 7/8 * 1/3= 1/8   Answer: 1/8
Answer: D
The average earning of a mechanic for the first-four days of a week is Rs. 18 and for the last four days is Rs. 22. If he earns Rs . 34 on the fourth day, his average earning for the whole week is ?	Choose the correct choice from the following answers: A) Rs . 15.95 B) Rs 16 C) Rs. 18 D) Rs. 25.71 E) None of these

Solution: Answer   Total earning for the week = Sum of earning of first four days + Sum of earning of last four days - Earning of 4th day   = 4 x18 + 4 x 22 -34   = Rs. 126   âˆ´ Average earning = 126 / 7   = Rs. 18   Rs. 18orrect Option: Rs. 18
Answer: C
UBA Capital recently bought Brand new vehicles for office use. UBA capital only went for Toyota and Honda and bought less of Toyota than Honda at the ratio of 4:6. If 40% of the Toyota bought and 60% of the Honda bought were SUVÃ¢â‚¬â„¢s. How many SUVÃ¢â‚¬â„¢s did UBA capital buy in the aforementioned purchase? Choices:
A) 66% B) 64% C) 68% D) 52% E) 72%

Solution: let total no of Vehicles bought be 100, Toyota 40 and Honda 60, so total number of SUV's bought for Toyota and Honda respectively  40* 40/100= 
 40* 40/100 = 16
16 and   60* 60/100= 
  60* 60/100 = 36
36   so total 52 SUV's were bought out of 100 Vehicles bought..so required % is 52%   ANSWER:52%
Answer: D
If R is between (4) and (-4), which of the following can be greatest?  Choose the correct choice from the following:
A) (7/(R+1))  B) R^2  C) R^3  D) R^4  E) 100^7

Solution: 7/(R+1) - can be as large as possible.   for eg. if R = -1.000001 => 7/(R+1) = 7000000   (7/(R+1))ns (7/(R+1))
Answer: A
I flew my tiny seaplane to visit my mother. On the flight up, I flew at 110 mph. On the way home, I flew 88 mph. What was my average speed for the trip?	Choose the correct choice from the following answers:
A) 198 mph
B) 110 mph
C) 88 mph
D) 100 mph
E) 99 mph

Solution: (110 mph +88 mph)/2= 99 mph   Correct answer is: 99 mph
Answer: E
Bradley owns b video game cartridges. If Bradley’s total is one-fourth the total owned by James and three times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?  Choose the correct choice from the following options.
A) (16/3)b  B) (17/4)b  C) (13/4)b  D) (19/12)b  E) (16/3)b

Solution: b = Bradley’s total   4b = James’s total   (1/3)b = Charlie’s total   Add each total   b + 4b+ (1/3)b = 5b + (1/3)b = = (16/3)b   Answer : (16/3)b
Answer: E
In a school class of 30 youngsters , the average weight of male is 20 kg and the average weight of the female is 25 kg . The fraction of male out of the total youngsters of the class is Answers:
A) data insufficient	B) 1/2	C) 3/5	D) 6/5	E) 7/5

Solution: the number of male = B and number of female = G.   =>B + G = 30   total weight of male = W1 and total weight of female = W2   average weight of male = total weight of male/number of male   total weight of male/number of male= 20   W1/B = 20   W1 = 20B   average weight of female = total weight of female/number of female   25 = W2/G   W2 = 25G   Data is not sufficient to solve the equation   data insufficientNSWER data insufficient
Answer: A
A 300 metre long train crosses a platform in 39 seconds while it crosses a post in 18 seconds. What is the length of the platform?  Choose the correct answer
A) 150 m
B) 350 m
C) 420 m
D) 600 m
E) 700 m

Solution: Explanation:   Length of the train = distance covered in crossing the post = speed × time = speed × 18   Speed of the train = 300/18 m/s = 50/3 m/s   Time taken to cross the platform = 39 s   (300+x)/(50/3) = 39 s where x is the length of the platform   300+x = (39 × 50) / 3 = 650 meter   x = 650-300= 
650-300 = 350
350 meter   Answer: Option 350 m
Answer: B
If (2x + 1) times (3x + 1) is an odd integer, then x must be:	Select
A) an odd integer	B) an even integer	C) a prime number	D) a composite number	E) a negative integer

Solution: Solution:   (2x + 1) times (3x + 1) means (2x + 1)(3x + 1)   (2x + 1)(3x + 1) = 6x^2+5x+1   For 6x^2+5x+1 to be odd, 5x+1 must be odd since 6x^2 is always even.   So 5x must be even, hence x must be even.   Therefore x is an even integer.   Answer: an even integer
Answer: B
The probability of pulling a black ball out of a glass jar is 1/C. The probability of pulling a black ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar?
Pick one:
A) 1/(XY)
B) C/Y
C) Y/X
D) 1/(X+Y)
E) 1/(X-Y)

Solution: P of pulling a black ball out of a glass jar AND breaking the jar = 1/Y   P of pulling a black ball out of a glass jar is 1/C   Lets say P of breaking the jar = n   That means 1/C*n=1/Y   n= C/Y   C/Y is the answer
Answer: B
10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 2 women and 10 children take to complete the work?
Pick one
A) 4 B) 5 C) 7 D) 8 E) 10

Solution: 1 women's 1 day work = 1/70   1 child's 1 day work = 1/140   (2 women + 10 children)'s 1 day work   = (2/70 + 10/140) = 1/10   2 women and 10 children will complete the work in 10 days.   10
Answer: E
A work can be finished in 16 days by 5 women. The same work can be finished in 8 days by sixteen men. The ratio between the capacity of a man and a woman is  Choose one:
A) 1:3
B) 4:3
C) 2:3
D) 2:1
E) 5:8

Solution: Work done by 5 women in 1 day = 1/16   Work done by 1 woman in 1 day = 1/(16×5)   Work done by 16 men in 1 day = 1/8   Work done by 1 man in 1 day = 1/(8×16)   Ratio of the capacity of a man and woman =1/(8×16) : 1/(16×5) = 1/8 : 1/5   = 1/8 :1/5 = 5:8   Option 5:8
Answer: E
Mr Yadav spends 60% of his monthly salary on consumable items and 50% of the remaining on clothes and transport. He saves the remaining amount. If his savings at the end of the year were 38400, how much amount per month would he have spent on clothes and transport?	Choose the correct choice.
A) 4038 B) 8076 C) 3200 D) 4845.6 E) None of these

Solution: ∵ Amount, he have spent in 1 month on clothes transport = Amount spent on saving per month   ∵ Amount, spent on clothes and transport   = 38400⁄12 = 3200   Answer 3200
Answer: C
The speed of a boat in upstream is 100 kmph and the speed of the boat downstream is 130 kmph. Find the speed of the boat in still water and the speed of the stream? Choose the correct choice from the following
A) 170, 10 kmph  B) 35, 27 kmph  C) 50, 60 kmph  D) 115, 15 kmph  E) 45, 65 kmph

Solution: Speed of the boat in still water = (100+130)/2= 
(100+130)/2 = 115
115 kmph. Speed of the stream= (100-130)/2 = 15 kmph   ANSWER:115, 15 kmph
Answer: D
A leak in the bottom of a tank can empty the tank in 6hrs. An pipe fills water at the rate of 4ltrs/ minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hrs. The capacity of the tank is?  Pick one:	A) 2345	B) 2350	C) 2457	D) 4657	E) 5760

Solution: 1/x - 1/6 = -1/8   x = 24 hrs    24 * 60 * 4= 
 24 * 60 * 4 = 5_760
5760   5760
Answer: E
Last year, sales at Company Dopler were 2% greater in February than in January, 4% less in March than in Feb, 20% greater in April than in March, 10% less in May than in April, and 10% greater in June than in May. In which month were sales closest to Jan? Select:  A) Mar  B) April  C) Feb  D) May  E) June

Solution: Jan = $100   2% greater in February than in January ---> Feb = $102   4% less in March than in Feb ---> Mar = $97.92   20% greater in April than in March ---> Apr = $117.50   10% less in May than in April ---> May $105.75   10% greater in June than in May --->Jun = $116.33   Answer : Feb
Answer: C
Tom wants to buy items costing $25.35, $100.69, and $85.96. He earns $6.50 an hour doing
odd jobs. If ten percent of his income is put aside for other purposes, how many hours must he
work to earn the money he needs for his purchases? Round your answer to the nearest whole
hour.
Choose the correct choice from the following:
A) 8 hours
B) 48 hours
C) 36 hours
D) 18 hours
E) 28 hours

Solution: $6.50 x .10 = $.65 is 10% of his hourly income   $  6.50 - .65= 
  6.50 - .65 = 5.85
$5.85 hourly amount available to spend   $25.35 + $100.69 + $85.96 = $212 total needed   $212 ÷ $5.85  25.35 +  100.69 +  85.96= 
 25.35 +  100.69 +  85.96 = 212
$212 total needed   $212 ÷ $5.85= 36.2... rounds to 36 hours   correct answer 36 hours
Answer: C
A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, how many birds A has killed?	Choose the most appropriate option:  A) 10  B) 20  C) 30  D) 40  E) 50

Solution: Let the total number of shots=x   Shots fired by A=5x/8   Shots fired by B=3x/8   Killing shots by A=5x/8×1/3=5x/24   Missing shots by B=3x/8×1/2=3x/16   B has missed 27 times⇒3x/16=27   ⇒x=27×16/3=144   Hence, killing shots by A=5x/24=(5×144)/24=5×12/2=30   i.e., A has killed 30 birds   Answer is 30.
Answer: C
The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 20% profit?  Answers.
A) 2000
B) 2778
C) 2299
D) 1920
E) 2771

Solution: Let C.P. be Rs. x.   Then, (1920 - x)/x * 100 = (x - 1280)/x * 100   1920 - x = x - 1280   2x = 3200 => x = 1600   Required S.P. = 120 % of Rs. 1600 = 120/100 * 1600 = Rs. 1920.   Answer:1920
Answer: D
A and B can finish a work in 16 days while A alone can do the same work in 24 days. In how many days B alone will complete the work?	Choose the most appropriate option.
A) 76 days	B) 48 days	C) 98 days	D) 31 days	E) 22 days

Solution: 48 days = 1/16 – 1/24 = 1/48 => 48 days   Answer: 48 days
Answer: B
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?	Select:
A) 741	B) 756	C) 787	D) 988	E) 576

Solution: We may have (3 men and 2 women) = (7C3 x 6C2) = 525   or (4 men and 1 woman) = (7C4 x 6C1) = 210   or (5 men only) = (7C5) = 21   Required ways = 756   ans - 756
Answer: B
If 20% of a number = 300, then 120% of that number will be?
Choices: A) 20 B) 120 C) 360 D) 1800 E) 1820

Solution: Let the number x. Then,   20% of x = 300   x = (300 * 100)/20= 
(300 * 100)/20 = 1_500
1500   120% of x= (120/100 * 1500)= 
(120/100 * 1500) = 1_800
1800.   ANSWER:1800
Answer: D
At what rate percent on simple interest will Rs.750 amount to Rs.900 in 2 years?
Choose the correct choice from the following answers:
A) 10%  B) 2%  C) 4%  D) 5%  E) 3%

Solution: 150 = (750*2*R)/100   R = 10%   10%nswer: 10%
Answer: A
The sum of two numbers is 16, and twice their difference is 4. What are the two numbers? Choose the correct choice
A) 6,7 B) 6,8 C) 5,11 D) 7,9 E) 10,6

Solution: Let the two numbers be x and y.   Equation (i): x + y = 16   Equation (ii): 2(x - y) = 4   Solve system of equations:   x=16-y   2(16-y-y)=4   16-2y=2 --- y=7   x+7=16 --- x=9   The two numbers are 7 and 9, so answer 7,9 is correct.
Answer: D
Pat's watch gains an extra 10 seconds every 2 hours. Kim's watch loses 5 seconds every 3 hours. If both watches are set to correct time at 8 o'clock in the morning and run without interruption, after 60 hours, what will be the difference in time between Pat's watch and Kim's watch?  Choose the correct choice from the following options
A) 2 min 40 sec B) 3 min 40 sec C) 4 min 40 sec D) 5 min 40 sec E) 6 min 40 sec

Solution: In 60 hours Pat's watch will gain an extra   60/2*10= 
  60/2*10 = 300
300 seconds.   In 60 hours Kim's watch will lose   60/3*5= 
  60/3*5 = 100
100 seconds.   Hence the difference will be   300 + 100= 
  300 + 100 = 400
400 seconds.   Answer: 6 min 40 sec.
Answer: E
P and Q started a business investing Rs 10000 and Rs 15000 resp. In what ratio the profit earned after 2 years be divided between P and Q respectively.	Choose the correct choice
A) 2:7 B) 2:6 C) 17:6 D) 2:3 E) 7:8

Solution: Explanation:   In this type of question as time frame for both investors is equal then just get the ratio of their investments.   P:Q = 10000:15000   = 10:15   = 2:3   Option 2:3
Answer: D
How many 3-digit even numbers are possible such that if one of the digits is 3, the next/succeeding digit to it should be 7?	Choose the correct option:	A) 495	B) 305	C) 365	D) 405	E) 5

Solution: 370, 572, 374, 376, and 378, so total 5. Hence Option 5.
Answer: E
The unit digit in the product 7858*1086*4582*9783 is?	Choose the correct choice from the following options
A) 0
B) 1
C) 8
D) 3
E) 4

Solution: Unit digit in the given product = unit digit in 8*6*2*3 = 8   Answer is 8
Answer: C
A contest will contain n questions each of which is to be answered either true or false. Anyone who answers all n questions correctly will be a winner what is the least value of n for which the probability is less then 1/1000 then a person who randomly guesses the answer to each q's will be a winner? Choose the correct choice from the following answers:  A) 5  B) 10  C) 50  D) 100  E) 1000

Solution: The probability that a person will randomly guess all nn questions correctly is 1/2n1, so we want the value of nmin for which 1/2n<1<11000 --> 2n>1000 as nn is an integer nmin==10 (2^10=1024>1000).   Answer: 10.
Answer: B
Solve the equation for x : 6x - 27 + 3x = 4 + 9 - x	Pick one
A) 1 B) 2 C) 3 D) 4 E) 5

Solution: 4   4   9 x + x = 13 + 27   10 x = 40 => x = 4
Answer: D
An article is bought for Rs.600 and sold for Rs.350, find the loss percent?  Pick:
A) 16 1/8%
B) 41 1/3%
C) 19 2/3%
D) 41 2/3%
E) 16 8/3%

Solution: 600 ---- 250   100 ---- ? => 41 2/3%   Answer: 41 2/3%
Answer: D
A train 140 m long, running with a speed of 63 km/hr will pass a tree in? Pick:  A) 15 sec  B) 16 sec  C) 18 sec  D) 11 sec  E) 8 sec

Solution: Speed = 63 * 5/18 = 35/2 m/sec   Time taken = 140 * 2/35= 
140 * 2/35 = 8
8 sec   ANSW8 secR: 8 sec
Answer: E
If n is the smallest integer such that 72 times n is the square of an integer, what is the value of n?  Choose the most appropriate option: A) 2 B) 3 C) 6 D) 12 E) 24

Solution: 72 can written as = 2 * 2 * 2 * 3 * 3 --> 2^3 * 3^2---(1)   so for 72 * n to be a square of an integer, the integer should have even powers to the prime numbers it composed of.   here 2 already has even power -> So n has to be 3 to make the power of 2 in (1) even   Option 2 is correct
Answer: A
Find the smallest +ve mathematical number which is spelled in an alphabetical order ?	Options:
A) Fifty B) Twenty C) Forty D) Thirty E) Ten

Solution: Forty   Forty
Answer: C
If 6 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is:  Choose the correct choice from the following answers
A) 20:15:33 B) 20:25:33 C) 20:15:12 D) 20:15:09 E) 20:15:11

Solution: Explanation:   6A = 8B = 10 20:15:12   A:B:20:15:12 = 1/6:1/8:1/10   = 20:15:12   Answer: 20:15:12
Answer: C
A train passes a station platform in 42 seconds and a man standing on the platform in 22 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?	Answers:	A) 299	B) 277	C) 240	D) 300	E) 112

Solution: Speed = [54 * 5/18] m/sec = 15 m/sec.   Length of the train = (15 * 22)= 
(15 * 22) = 330
330 m.   Let the length of the platform be x meters.   Then, x + 330 / 42= 15   x + 330 = 630   x = 300 m.   Answer:300
Answer: D
The Product of two number is 20. The sum of square of the two number is 81. Find the sum of the numbers Choose the correct choice from the following options.
A) 21	B) 19	C) 9	D) 11.	E) 8

Solution: Solution   Let the numbers be x, y   = x2+y2= 81   =2(x+y)=40   => (x+y)2=81+40= 
81+40 = 121
121,=> x+y=sqrt(121)=11.   Answer 11.
Answer: D
A rectangular tank needs to be coated with insulation. The tank has dimensions of 4 feet, 5 feet, and 3 feet. Each square foot of insulation costs $20. How much will it cost to cover the surface of the tank with insulation?
Answers.
A) $1220 B) $1330 C) $1550 D) $1770 E) $1880

Solution: The total surface area is 2(3*4 +4*5 + 3*5) = 94 square feet   The total cost is 94*$20 = $1880   The answer is $1880.94* 20= 
94* 20 = 1_880
$1880   The answer is $1880.
Answer: E
A young girl counted in the following way on the fingers of her left hand. She started collang the thumb 1, the index finger 2, the middle finger 3, the ring finger 4, the little finger 5, then reversed direction calling the ring finger 6, the the middle finger 7, the index finger 8, the thumb 9 then back to the index finger for 10, the middel finger for 11, and so on. She counted up to 1998. She ended on her	Choose the correct choice from the following answers:
A) a) thumb B) b) the index finger C) c) the middle finger D) d) the ring finger E) e) the little finger

Solution: Notice the pattern. The thumb lansd up at numbers 1,9,17,25,33,... so every 8th number   By this patter the thumb is also at number 1993 (multiple of 8 + 1)   Hence 1998 has to be the middle finger   Answer is (c) the middle finger)
Answer: C
A light has a rating of 60 watts, it is replaced with a new light that has 12% higher wattage. How many watts does the new light have?	Choose the correct choice from the following:
A) 105 B) 67 C) 80 D) 60 E) 100

Solution: Final number = Initial number + 12%(original number) = 60 + 12%(60) = 60 + 7= 
60 + 7 = 67
67   Answer 67
Answer: B
A reduction of 10% in the price of a pen enabled a trader to purchase
9 more for Rs. 540. What is the reduced price of the pen?  Pick:
A) 8
B) 6
C) 5
D) 4
E) 9

Solution: Due to 10% tot cost req to purchase the same no of pens will dec by rs 54   and tot add 9 pen eql this amt   =>54/9= 
54/9 = 6
6   ANSWER 6
Answer: B
The C.I. on a certain sum for 2 years Rs.41 and the simple interest is Rs.40. What is the rate percent?
Choose the correct choice from the following answers.
A) 4 B) 5 C) 6 D) 1 E) 9

Solution: SI = 20 + 20   CI = 20 + 21   20 ---- 1   100 ---- ? => 5%.Answer: 5
Answer: B
In February Wilson’s earnings were 40 percent of his family’s total income. In March Wilson earned 25 percent less than in February. If the rest of his family’s income was the same in both months, then, in March, Wilson’s earnings were approximately what percent Q of his family’s total income?  Choose one
A) 15%  B) 17%  C) 24%  D) 30%  E) 33%

Solution: Lets suppose the Total Family income in Feb = 100x   Wilson's earning in Feb = 40% of 100x = 40x   33%arnings of remaining family in Feb = 100x - 40x = 60x   Wilson's earning in March 100  - 40= 
100  - 40 = 60
60x   Wilson's earning in March= 75% of Wilson's Feb earnings = 75% of 40x = 30x   33%arnings of remaining family in March = 33%arnings of remaining family in Feb = 60x   Thus Wilson's earning as % of Total family income in March Q= 30x/ (30+60)x = 30x/90x = 33.33%   Thus Answer is 33%
Answer: E
Initially 150. Reduced by 20%. How it is to be reduced to become 108? Choose the correct choice from the following answers
A) 10%
B) 20%
C) 30%
D) 40%
E) 50%

Solution: 150*20/100= 
150*20/100 = 30
30   so now we have 150-30= 
150-30 = 120
120 in hand   to make it 108, reduce 12   12=120*x/100,   x% is to be reduced   x=10%   10%NSWER:10%
Answer: A
For the past n days, the average (arithmetic mean) daily production at a company was 50 units. If today's production of 95 units raises the average to 55 units per day, what is the value of n?	Choose the correct choice from the following answers.
A) 6	B) 7	C) 8	D) 9	E) 10

Solution: The average daily production was raised by 5 units for n days, which has a weighting of 5n.   5n = 95-55= 
95-55 = 40
40   n= 8   The answer is 8.
Answer: C
The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers?
Choose the correct choice from the following choices:  A) 9, 10  B) 10, 11  C) 11, 12  D) 12, 13  E) None of these

Solution: Let the two consecutive positive integers be x and x + 1   x2 + (x + 1)2 - x(x + 1) = 91   x2 + x - 90 = 0   (x + 10)(x - 9) = 0 => x = -10 or 9.   As x is positive x = 9   Hence the two consecutive positive integers are 9 and 10.   9, 10NSWER:9, 10
Answer: A
5 identical snow plows can clear an iced parking lot in 6 hours. How long would it take 6 such snow plows to clear the same parking lot?  Choose the correct option:
A) 1 hour, 15 minutes
B) 2 hours, 30 minutes
C) 3 hours
D) 7 hours, 30 minutes
E) 5 hourss

Solution: 6/5 as many plows will take 5/6 as many hours --> 6*5/6=5 hours.   Answer: 5 hourss.--  6*5/6= 
--  6*5/6 = 5
5 hours.   Answer: 5 hourss.
Answer: E
The average of five consecutive odd numbers A, B, C, D and E is 13. What percent of B is C ? Choose the correct answer:	A) 98.2	B) 102.8	C) 108.2	D) 118.2	E) 122.8

Solution: Explanation :   In such a case the middle number (C) is the average   ∴ C = 13 and B = 11   Required percentage = 13/11 x 100 = 118.2   Answer : Option 118.2
Answer: D
Cost of 16 mirror and 8 comb is Rs.336 and the cost of 4 mirror and 4 comb is Rs.96. Find the cost of each mirror?
Choose the correct choice from the following answers:
A) 10 B) 18 C) 20 D) 21 E) 22

Solution: Let the cost of each pen and pencil be 'p' and 'q' respectively.   16m + 8c = 336 --- (1)   4m + 4c = 96   8m + 8c = 192 --- (2)   (1) - (2) => 8p = 144   => m = 18   18
Answer: B
In Goshawk-Eurasian nature reserve 30 percent of the birds are Hawks, and 40 percent of the non-Hawks are Paddyfield-Warblers. If there are 25 percent as many Kingfishers as Paddyfield-Warblers in the reserve, then what percent of the birds R in the nature reserve are not Hawks, Paddyfield-Warblers, or Kingfishers?  Pick:  A) 25%  B) 35%  C) 45%  D) 70%  E) 80%

Solution: 1. We are given the following percentages: 30 (70), 40 (60), 25 (75). There are two threads from here. First starts at 30% and finishes there. Second one starts at 70, then 40, and then 25. We need a value that is divisible by 7, 2, and 5 at least once. lets pick a number now, say 700. So say if Non Hawks are 700 (this is 70% of the total, so total = 1000), then Paddy Warbs are 2/5 x 700 = 1400/5= 
1400/5 = 280
280. Kingfishers, therefore, are   280/4= 
  280/4 = 70
70. Lets add them up. 300 hawks + 280 Peddy Warbs + 70 kingsifhers= 650. So all others are  1000 - 650= 
 1000 - 650 = 350
350 or 35% of total birds.   The main job here to to identify the smart number to start the question with. This can be time consuming, but once identified, this question can be solved fairly quickly.   2. Another method: If X is total --> Non Hawks= 0.7X --> Warbs = 0.4(0.7X) --> KFs = 0.25(0.4(0.7X)).   Our job is to find out R: (0.3X + 0.28X + 0.07X)/ X. OR 0.65X/X = 0.65. We need to find   1-0.65= 
  1-0.65 = 0.35
0.35 or 35%.35%
Answer: B