MU-NLPC/Calc-aqua_rat huggingface dataset:
A dishonest dealer claims to sell a product at its cost price. He uses a counterfeit weight which is 20% less than the real weight. Further greed overtook him and he added 40% impurities to the product. Find the net profit percentage of the dealer?  Choose the correct choice from the following options
A) 94%  B) 87.5%  C) 55%  D) 56.25%  E) 36%

Solution: The dealer uses weight which is 20% less than the real weight. or (1- 1/5) or 4/5 of real weight.   It means that he is selling $4 worth of product for $5.   The dealer then further added 50% impurities to the product.   It means that he is selling $5 worth of product for $7.5.   So his profit is $7.5-$4 = $3.5   and his profit percent is   (3.5/4)*100 7.5- 4= 
7.5- 4 = 3.5
$3.5   and his profit percent is    (3.5/4)*100= 
 (3.5/4)*100 = 87.5
87.5%   Answer:- 87.5%
Answer: B
If A exceeds B by 40%, B is less than C by20%, then A : C is :	Choose the correct choice from the following:
A) 28:25 B) 26:25 C) 3:2 D) 3:1 E) 28:27

Solution: A = B + 40% of B   A = 140/100 * B   Now,   A/B = 14/10   B = C - 20% of C   B = 80/100 *C   B/C = 8/10   SO,   A/C = (A/B) * (B/C) = (14 *8) / (10 *10) = 28 : 25.   answer - Option 28:25
Answer: A
How many 4-digit Z numbers (ABCD) can be formed such that |A – D| = 2?	Choose the correct choice from the following choices
A) 2,000
B) 1,900
C) 1,800
D) 1,600
E) 1,500

Solution: 1) A=0 and D-8   2) A and D as 1 and 9..so 3*100= 
3*100 = 300
300 extra ways ans  1800-300= 
 1800-300 = 1_500
1500.   we are looking for |A-D|=2 so any of the two can be bigger..   these two can have values (1,3) ; (2,4) so on till (7,9) so total 7*2 = 14..   another arrangement could be A as 2 and D as 0... D as 2 and A as 0 is not possible as number will become 3 digits..   so the ways A and D can be placed = 14+1= 
14+1 = 15
15 ways..   B and C can be placed in 10*10 ways..   Total Z= 15*10*10=1500.1,500
Answer: E
If f(x) =4* (x^4 - 1)/(x^2), what is f(1/x) in terms of f(x)?
Choose the correct choice from the following answers:
A) f(x)
B) -f(x)
C) -4*f(x)
D) -1/f(x)
E) 2*f(x)

Solution: 4*f(1/x) = 4*((1/x)^4 - 1) / ((1/x)^2)   = 4*((1/x^4) - 1) / (1/x^2)   = 4*((1-x^4)/(x^4)) / (1/x^2)   =4* (1-x^4)/(x^2)   = - 4*( (x^4) -1) / (x^2)   = -4f(x)   Answer is -4*f(x).
Answer: C
A cheetah can at 65 mph but only for a maximum of 6 minutes before it exhausts itself. How many miles can the cheetah run before tiring out? Round to the nearest hundredths place.
Answers:
A) 5 miles  B) 5.50 miles  C) 6 miles  D) 6.50 miles  E) 7 miles

Solution: 65 mph x (6/60)= 6.5 miles   Answer 6.50 miles
Answer: D
A man took a loan from a bank at the rate of 8% p.a. simple interest.After 3 years he had to pay Rs. 5400 interest only for the period.The principal amount borrowed by him was :  Choose the correct choice
A) Rs. 2000	B) Rs. 10,500	C) Rs. 15,500	D) Rs. 22,500	E) None

Solution: Solution   Principal = Rs.(100x5400/8x3)= Rs.22,500.   Answer Rs. 22,500
Answer: D
Six bells commence tolling together and toll at intervals of 1,2,3,4,5,6 seconds respectively. In 30 minutes, how many times do they toll together? Choose the most appropriate option:	A) 44	B) 31	C) 15	D) 16	E) 17

Solution: L.C.M of 1,2,3,4,5,6 is 180. i.e after each 1 min they will toll together.So in 30 min they will toll 30 times.As they have initially tolled once,The answer will be  30+1= 
 30+1 = 31
31.   ANSWER:31
Answer: B
The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:
A.
B.
C.
D.
Answer: Option D
Explanation:	Choose the correct choice from the following
A) 70 km/hr	B) 75 km/hr	C) 87.5 km/hr	D) 84 km/hr	E) 75.6 km/hr

Solution: Let the speed of two trains be 7x and 8x km/hr.   Then, 8x =	400/4= 
400/4 = 100
100   x=	100/8= 
100/8 = 25/2 = around 12.5
12.5   8 Speed of first train= (7 x 12.5) km/hr = 87.5 km/hr.   answer :87.5 km/hr
Answer: C
How many positive integers less than 26 are prime numbers, odd multiples of 5, or the sum of a positive multiple of 2 and a positive multiple of 4? Choose the correct option:
A) 27  B) 21  C) 24  D) 22  E) 20

Solution: 9 prime numbers less than 28: {2, 3, 5, 7, 11, 13, 17, 19, 23}   3 odd multiples of 5: {5, 15, 25}   10 numbers which are the sum of a positive multiple of 2 and a positive multiple of 4: {6, 8, 10, 12, 14, 16, 18, 20, 22, 24}   Notice, that 5 is in two sets, thus total # of integers satisfying the given conditions is  9+3+10-1= 
 9+3+10-1 = 21
21.   Answer: 21.
Answer: B
If the Average of 10 consecutive integers is 23.5 then the 10th integer is :-	Options
A) 15	B) 20	C) 23	D) 28	E) 25

Solution: The average falls between the 5th and 6th integers,   integer 5 = 23, integer 6 = 24.   Counting up to the tenth integer   we get 28.   ANSWER:28
Answer: D
How many 4's are there preceded by 7 but not followed by 3?
5 9 3 2 1 7 4 2 6 9 7 4 6 1 3 2 8 7 4 1 3 8 3 2 5 6 7 4 3 9 5 8 2 0 1 8 7 4 6 3  Choose the correct choice:
A) 4 B) 5 C) 6 D) 8 E) 9

Solution: 7 4 2   7 4 6   7 4 1   7 4 6   Only at these placees 4 is preceded by 7 but not followed by 3   4nswer: 4
Answer: A
Alex has 4 pens worth of {22, 25, 30, 40}, what is the total mean and median of the worth of pens ?
Choose one
A) 3.42  B) 6.16  C) 8.32  D) 2.0  E) 1.75

Solution: This is a good question to understand the difference between mean and median.   Mean: Average of all the numbers. (Sum of all the elements divided by the number of elements)   Median: Arrange the elements of the set in increasing order. If the number of terms is odd, the middle term is the median. If the number of terms is even, the average of middle two terms is the median   Coming to this question,   Mean = (22+ 25+ 30+ 40)/4= 
(22+ 25+ 30+ 40)/4 = 117/4 = around 29.25
29.25   Median= (25 + 30)/2= 
(25 + 30)/2 = 55/2 = around 27.5
27.5   Total= 1.75   Option 1.75
Answer: E
oy started cycling along the boundaries of a square field from corner point A. After half an hour he reached the corner point C, diagonally opposite to A. If his speed was 8km/hr, the area of the filed in square km is? Pick.
A) 64 B) 4 C) 16 D) 9 E) 5

Solution: Explanation :   Distance covered by Roy in 1/2hr = 4 kmTherefore, side of the square =4/2= 
4/2 = 2
2 kmHence, Area=2×2= 4 square km   Answer : 4
Answer: B
Water boils at 212°F or 100°C and ice melts at 32°F or 0°C . If the temperature of a pot of water is 45°C, what is the temperature of the pot of water in °F?	Choose the correct choice:
A) 92°F  B) 97°F  C) 104°F  D) 113°F  E) 118°F

Solution: Let F and C denote the temperature in Fahrenheit and Celsius respectively.   (F - 32) /(212 - 32) = (C - 0)/(100 - 0)   F = 9C/5 + 32   F = 9(45)/5 + 32 = 113°F   The answer is 113°F.
Answer: D
Ayush was born two years after his father's marriage. His mother is five years younger than his father but 20 years older than Ayush who is 10 years old. At what age did the father get married ?
Answers:
A) 23 years
B) 25 years
C) 33 years
D) 35 years
E) 37 years

Solution: Explanation:   Ayush's present age = 10 years.   His mother's present age = (10 + 20)= 
(10 + 20) = 30
30 years.   Ayush's father's present age= (30 + 5)= 
(30 + 5) = 35
35 years.   Ayush's father's age at the time of Ayush's birth= (35 - 10)= 
(35 - 10) = 25
25 years.   Therefore Ayush's father's age at the time of marriage= (25 - 2)= 
(25 - 2) = 23
23 years.   23 yearsnswer: 23 years) 23 year
Answer: A
A man saves 25% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 10%, he is only able to save Rs. 175 per month. What is his monthly salary?
Answers
A) Rs.1000
B) Rs.2000
C) Rs.1500
D) Rs.3000
E) Rs.3100

Solution: Income = Rs. 100   Expenditure = Rs. 75   Savings = Rs. 25   Present Expenditure 75+75*(10/100) = Rs.82.5   Present Savings = 100 – 82.50 =Rs. 17.50   If savings is Rs. 17.50, salary = Rs. 100   If savings is Rs.175, salary = 100/17.5*175= 
100/17.5*175 = 1_000
1000   Rs.1000nswer : Rs.1000
Answer: A
All the milk in container A which was filled to its brim was poured into two containers B and C. The quantity of milk in container B was 62.5% less than the capacity of container A. If 158 liters was now transferred from C to B, then both the containers would have equal quantities of milk. What was the initial quantity of milk in container A?
Answers:  A) 1264  B) 1723  C) 1129  D) 2613  E) 1372

Solution: A   B has 62.5% or (5/8) of the milk in A. Therefore, let the quantity of milk in container A(initially) be 8k.   Quantity of milk in B = 8k - 5k = 3k.   Quantity of milk in container C 8  - 5= 
8  - 5 = 3
3k.   Quantity of milk in container C= 8k - 3k = 5k   Container: A B C   Quantity of milk: 8k 3k 5k   It is given that if 158 liters was transferred from container C to container B, then both the containers would have equal quantities of milk.   5k - 158 8  - 3= 
8  - 3 = 5
5k   Container: A B C   Quantity of milk: 8k 3k 5k   It is given that if 158 liters was transferred from container C to container B, then both the containers would have equal quantities of milk.   5k - 158= 3k + 158 => 2k =316 => k = 158   The initial quantity of milk in 1264 = 8k = 8 * 158= 
8 * 158 = 1_264
1264 liters.
Answer: A
In the formula Y = 1/(2x+2)^3, if x is halved, then Y is multiplied by	Select the correct option
A) 27 B) 27/8 C) 8/27 D) 8 E) 1/27

Solution: Say x=2 => Y1 = 1/108   when x=1; Y2 = 1/32   Y2 = 27/8*Y1.   Answer : 27/8
Answer: B
Find the no.of ways of arranging the boy and 7 guests at a circular table so that the boy always sits in a particular seat? Options:
A) 3!	B) 8!	C) 7!	D) 9!	E) 11!

Solution: Ans.(C)   Sol. Total number of persons = 8 Host can sit in a particular seat in one way. Now, remaining positions are defined relative to the host. Hence, the remaining can sit in 7 places in 7P7 = 7! Ways ... The number of required arrangements = 7! x 1= 7! = 7! ways
Answer: C
If W is a positive integer, and W/15 = 8.2, what is the remainder when W is divided by 15? Options.
A) A.1 B) B.2 C) C.3 D) D.4 E) E.8

Solution: If W were a multiple of 15, the quotient W/15 would be an integer. The fact that it's a decimal tells us that 15 goes into W eight whole times and some decimal part of a time. This decimal part, 0.2 is the remainder divided by the divisor. Let R be the remainder.   R/15 = 0.2 = 1/5   R = (15)*(1/5)= 
(15)*(1/5) = 3
3   Answer=(C.3)
Answer: C
How many positive integers less than 50 are multiples of 3 but NOT multiples of 5?
Answers:
A) 4	B) 6	C) 8	D) 10	E) 12

Solution: IMO the answer is C (8 numbers)   The LCM of 3 and 5 is 15.   If x <50 and x is divisible by 3 not by 5 --> x is NOT divisible by 15.   From 1--> 50, we have 3 numbers which is divisible by 15: 15, 30, 45.   From 1-->50, we have (45-3)/3 +1= 
(45-3)/3 +1 = 15
15 numbers divisible by 3.   Therefore, our answer is 15-3= 
15-3 = 12
12 numbers.   12
Answer: E
Find the surface area of a 10 cm x 4 cm x 2 cm brick. Choose one
A) 136 cu cm
B) 124 cu cm
C) 164 cu cm
D) 180 cu cm
E) None

Solution: Sol.   Surface area = [2(10 x 4 + 4 x 2 + 10 x 2)]   = (2 x 68)   = 136 cu cm   136 cu cmnswer 136 cu cm
Answer: A
In how many ways can a committee consisting of 4 men and 5 women be formed from a group of 7 men and 9 women? Choose one.
A) 7C4 9C5
B) 4C7 5C9
C) 7C5 9C4
D) 9C4 7C5
E) NONE

Solution: Group consisting of 7 men and 9 women   4 men can be selected from 7 men in 7C4 ways   5 women can be selected from 9 women in 9C5 ways   Therefore, Total number of ways= 7C4 9C5   7C4 9C5NSWER:7C4 9C5
Answer: A
A series of boxes are placed on a conveyor belt at one end and unloaded at the other. The boxes are each 0.5 meters on each side and are placed immediately adjacent to one another as they are loaded. If the conveyor belt is 30 meters long and moves the boxes at a speed of 0.25 m/s, how long does it take for 100 boxes to be loaded and unloaded?  Choose the correct choice from the following choices
A) 4 min 30 sec
B) 4 min 50 sec
C) 5 min 20 sec
D) 5 min 40 sec
E) 6 min 10 sec

Solution: 5 min 20 sec   5 min 20 sec   d = 100 * 0.5 m +30 m = 80 m   T = 80 m / 0.25 m/s = 320 s = 5 min 20 sec
Answer: C
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 . 6 on the fourth day, his average earning for the whole week is ?	Choose the correct choice from the following.
A) Rs . 18.95
B) Rs 16
C) Rs. 22
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 - 6   = Rs. 154   âˆ´ Average earning = 154 / 7   = Rs. 22   Rs. 22orrect Option: Rs. 22
Answer: C
The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.7 years. The ration of the number of boys to the number of girls in the class is?	Choose the correct option
A) 1:6	B) 2:3	C) 2:5	D) 2:1	E) 2:4

Solution: Let the ratio be k : 1. Then,   k * 16.4 + 1 * 15.7 = (k + 1) * 15.8   = (16.4 - 15.8)k = (15.8 - 15.7)   = k = 0.1/0.6 = 1/6   Required ratio = 1/6 : 1 = 1:6.   1:6nswer:1:6
Answer: A
In a certain egg-processing plant, every egg must be inspected, and is either accepted for processing or rejected. For every 96 eggs accepted for processing, 4 eggs are rejected. If, on a particular day, 12 additional eggs were accepted, but the overall number of eggs inspected remained the same, the ratio of those accepted to those rejected would be 99 to 1. How many E eggs does the plant process per day?	Choose one
A) 100 B) 300 C) 400 D) 3,000 E) 4,000

Solution: Straight pluggin in for me. As usual, I started with C and got the answer.   Lets' back calculate and see what we get   Let us consider eggs processed each day to be 400   So Initial ratio of eggs processed and rejected is 96:4 or 24:1   So out of 400 eggs, there will be 384 eggs processed and 16 rejected.   Now if the no. of eggs inspected remain and 12 more eggs get accepted that means there E=384+12= 
384+12 = 396
396 eggs accepted and 4 rejected...and the ratio will be 99:1   Bingo...this is what the questions says....   Its always a good idea to start with 400.
Answer: C
A man purchases 2 mobiles for $ 1400. He sells one at 20% profit and the other at a loss of 15%. He neither gains nor loses on the whole. Thus, the cost price of two watches are :	Choose the most appropriate option
A) $ 600 and $ 1400	B) $1400 and $ 600	C) $600 and $800	D) $800 and $600	E) $1400 and $ 800

Solution: x + y = 1400 --- (1)   1.20x + 0.85y = 1400 --- (2)   (2) - (1) --> 0.20x - 0.15y = 0   15x = 10y   x/y = 3/4= (3*200)/(4*200) = 600/800   Answer: $600 and $800
Answer: C
What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58?  Choose the correct choice from the following.
A) Rs.3944
B) Rs.3988
C) Rs.3928
D) Rs.3928
E) Rs.3943

Solution: Let the side of the square plot be a ft.   a2 = 289 => a = 17   Length of the fence = Perimeter of the plot = 4a = 68 ft.   Cost of building the fence = 68 * 58 =Rs.3944.   Rs.3944nswer: Rs.3944
Answer: A
A goods train runs at the speed of 72 km/hr and crosses a 300 m long platform in 26 sec. What is the length of the goods train?
Select the correct option
A) 278
B) 166
C) 151
D) 220
E) 109

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec.   Time= 26 sec.   Let the length of the train be x meters.   Then, (x + 300)/26 = 20   x = 220 m.   Answer:220
Answer: D
An athlete takes 10 seconds to run 100m. What is his avg. speed in miles per hour? Choose the correct choice.
A) 22.37
B) 26.66
C) 24.35
D) 36.0
E) 42.44

Solution: His average speed is 10m/s. which is 36 km/hr.   But 36km=22.37 miles. The average speed of the athlete is 22.37mph   22.37nswer: 22.37
Answer: A
There are 7 dozen mangoes in a box. If there are 29
such boxes, how many mangoes are there in all the
boxes together?  Select: A) 516 B) 2436 C) 6192 D) 628 E) None

Solution: Number of mangoes = 7 dozens   = 7 × 12 = 84   ∴ Number of mangoes in 29 boxes   = 29 × 84 = 2436   Answer 2436
Answer: B
If Q is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of Q? Choose the correct option:
A) 10
B) 12
C) 14
D) 16
E) 18

Solution: Q = 30!   8   Q = 30 x 29 x 28 x 27 x 26 x 25 x 24 x 24 x 22 x 21 x 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11 x 10 x 09 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1   Out of these 30 , 27 , 24 , 21 , 18, 15 , 12 , 09 , 06 , 3 are factors of 3   3 x 10 , 3 x 3 x 3 , 3 x 8 , 3 x 3 x 2, 3 x 5 , 3 x 4 , 3 x 3 x 3 , 3 x 2 , 3   So we have a total of 14 three's ...   Therefore the maximum value of K can be 14 (14)
Answer: C
.05% of cans of beans that go down a conveyor belt are sealed improperly and must be disposed of. How many cans of beans must pass down a conveyor belt for 5 cans to be sealed improperly?  Choose the correct choice from the following answers
A) 500  B) 5000  C) 4000  D) 2500  E) 10000

Solution: Let the number of total cans of beans be x   Then, .05% of x=5   (5/100)*(1/100)*x=5   x=10000   Answer is 10000
Answer: E
a light flashes every 15 seconds, how many times will it flash in ? of an hour? Select the correct option:
A) 550 B) 600 C) 240 D) 700 E) 750

Solution: 1flash=15sec   for 1 min=4flashes   so for 1 hour=4*60= 
4*60 = 240
240 flashes.   ANSWER:240
Answer: C
Solve for x and check: 6x = 54 Choose the correct choice: A) 12 B) 15 C) 5 D) 9 E) None of these

Solution: Solution : 9ividing each side by 6, we obtain   (6x/6)=(54/6)= 
(54/6) = 9
9   Check :   6x=54   (6*9)= 
(6*9) = 54
54   54=54   ANSWER : 9
Answer: D
If the complement of a certain angle is seven times the measure of that certain angle, then what is the measure of that certain angle?
Choose the correct choice from the following answers
A) 45°  B) 30°  C) 22.5°  D) 18°  E) 11.25°

Solution: Thecomplementof angle A is the angle which, when added to angle A, gives 90 degrees. The two acute angles of a right triangle are complements, for example.   The original angle is x, so the complement is 7x, and together, these add up to 90 degrees.   x + 7x = 90   8x = 90   x = 11.25°   Answer = (11.25°)
Answer: E
How much time will it take for an amount of 500 to yield 100 as interest at 5% per annum of simple interest? Pick:
A) 3 year	B) 4 year	C) 6 year	D) 5 year	E) 7 year

Solution: Time = (100 x 100)/(500 x 5) years = 4 years.   answer 4 year
Answer: B
find the average of first 40 natural numbers?
Choose the correct choice from the following choices:
A) 12.3
B) 15.4
C) 63.2
D) 45.2
E) 20.5

Solution: sum of first n natural numbers=n(n+1)/2;   So,sum of 40 natural numbers=(40*41)/2= 
(40*41)/2 = 820
820.   Therefore the required average=(820/40) =20.5.   Ans: 20.5
Answer: E
Each light bulb at a hotel is either incandescent or fluorescent. At a certain moment, thirty percent of the incandescent bulbs are switched on, and eighty percent of the fluorescent bulbs are switched on. If 70 percent of all the bulbs are switched on at this moment, what percent of the bulbs that are switched on are incandescent?
Choose the correct choice from the following answers:
A) 4.5%  B) 8.6%  C) 12.3%  D) 16.7%  E) 20%

Solution: Let I be the number of incandescent bulbs.   Let F be the number of fluorescent bulbs.   0.3I + 0.8F = 0.7(I+F)   0.1F = 0.4I   F = 4I   This means that for every 1 incandescent bulb, there are 4 fluorescent bulbs.   The percent of bulbs that are switched on which are incandescent is:   0.3I / (0.3I + 0.8F) = 0.3I / (0.3I + 0.8*4I) = 0.3I / 3.5I = 3/35 which is about 8.6%.   The answer is 8.6%.
Answer: B
Which of the following is not a multiple of 3!+4?  Options:
A) 5!+20
B) 4!+1
C) 5!-60
D) 4!+36
E) 5!+20

Solution: The factorial 3! means 3*2   therefore 3!+4=(3*2)+4   Which gives 6+4= 
6+4 = 10
10   all the options except option b) 4!+1 are multiples of 3!+4   The correct option is 4!+1)
Answer: B
A tradesman by means of his false balance defrauds to the extent of 22%? in buying goods as well as by selling the goods. What percent does he gain on his outlay? Choose the correct option.
A) 56.25%  B) 49.56%  C) 84.46%  D) 24.50%  E) 45.35%

Solution: g% = 25 + 25 + (25*25)/100= 
25 + 25 + (25*25)/100 = 225/4 = around 56.25
56.25%   56.25%nswer: 56.25%
Answer: A
Two trains are running in opposite directions with the same speed. If the length of each train is 225 m and they cross each other in 18 sec, then the speed of each train is?	Answers:
A) 22
B) 77
C) 36
D) 88
E) 45

Solution: Let the speed of each train be x m/sec.   Then, relative speed of the two trains = 2x m/sec.   So, 2x = (225 + 225)/18 => x = 25/2   Speed of each train = 25/2 m/sec.   = 25/2 * 18/5 =- 45 km/hr.Answer: 45
Answer: E
Divide $1000 among A,B in the ratio 1:3. How many $ that A get?	Choose one
A) $50
B) $500
C) $150
D) $250
E) $600

Solution: Sum of ratio terms = 1+3= 
1+3 = 4
4   A= 1000*1/4= 
1000*1/4 = 250
$250   Answer is $250
Answer: D
Elena’s bread recipe calls for 3 ounces of butter for each 4 cups of flour used. She needs to make 4 times the original recipe. If 12 ounces of butter is used, then how many cups of flour are needed?	Choose the correct choice from the following answers:
A) 1 B) 4 C) 9 D) 13 E) 16

Solution: Number of cups flour needed for 3 ounces of butter = 4   Number of cups flour needed for 1 ounce of butter = 4/3   Number of cups flour needed for 12 ounces of butter = 4/3 * 12= 
4/3 * 12 = 16
16   Answer 16
Answer: E
Average temperature of first 4 days of a week is 6°C and that of the last 4 days is 40.3°C. If the average temperature of the week be 39.1°C, the temperature on 4th day is? Pick:
A) 36.7°C
B) 38.6°C
C) 39.8°C
D) 41.9°C
E) 51.9°C

Solution: Let temperature on 4th day be X°C   Therefore, 4 x 38.6 + 4 x 40.3 - X = 7 x 39.1   => X = 41.9   Therefore, temperature on 4th day = 41.9°C.   ANSWER:41.9°C
Answer: D
If the price of an item is decreased by 40% and then increased by 40%, the net effect on the price of the item is  Choose one.
A) A decrease of 99%  B) No change  C) A decrease of 16%  D) A increase of 1%  E) none

Solution: initially assume 100 rupees   40% discount in 100 gives price of 60 rupees   then 40% raise in 60 is only 24 rupees.   therefore total price =84 rupees.   hence 16% is the loss   ANSWER:A decrease of 16%
Answer: C
What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 4 Years?
Choose the correct choice:
A) 5%
B) 8%
C) 9%
D) 4%
E) 1%

Solution: 160 = (180*4*R)/100   R = 5%   5%nswer: 5%
Answer: A
In a box, there are 20 red, 15 blue and 10 green balls. One ball is picked up randomly. What is the probability that it is green?
Choose the correct choice from the following options.
A) 1/3
B) 2/5
C) 3/7
D) 2/9
E) 1/5

Solution: Total number of balls = 20+15+10= 
20+15+10 = 45
45   E= event that the ball drawn is green = 10   n(E) = 10   P(E) = 10/45 = 2/9   Answer is 2/9
Answer: D
A cab driver 5days income was $40, $50, $60, $65 , $80. Then his average income is?
Pick: A) A)$58 B) B)$42 C) C)$65 D) D)$59 E) E)$62

Solution: avg = sum of observations/number of observations   avg income=(40+50+60+65+80)/5= 
(40+50+60+65+80)/5 = 59
59   Answer is $59
Answer: D
The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
Choose the correct choice from the following choices.
A) 5 : 12  B) 5 : 13  C) 5 : 167  D) 5 : 19  E) 5 : 16

Solution: Let the length and the breadth of the rectangle be l cm and b cm respectively. Let the side of the square be a cm.   a2 = 4096 = 212   a = (212)1/2 = 26 = 64   L = 2a and b = a - 24   b : l = a - 24 : 2a = 40 : 128 = 5 : 16   Answer: Option 5 : 16
Answer: E
An article was bought for 2000 and sold for 2200. Find the gain or loss.
Choose the correct choice from the following:
A) 200 B) 300 C) 400 D) 500 E) 600

Solution: Sol. C.P. of the article = 2000   S.P. of the article = 2200   Since S.P. > C.P. So there is gain.   Gain (profit) = S.P. – C.P.   =2200 –2000 =200 200nswer 200
Answer: A