MU-NLPC/Calc-aqua_rat huggingface dataset:
Which of the following equations has a solution in common with x^2 - 7x + 10 = 0 ?
Pick one
A) x^2 - 3x - 10 = 0  B) 4x^2 + 9x + 2 = 0  C) 4x^2 + 6x + 2 = 0  D) x^2 + 10x + 25 = 0  E) none of the above

Solution: Given : x^2 - 7x + 10 = 0 => (x-2) (x-5) = 0 => 2 and 5 are the roots..   A. x^2 - 3x - 10 = 0 => (x+2) (x-5)   B. 4x^2 + 9x + 2 = 0 => (4x+1) (x+2)   C. 4x^2 + 6x + 2 = 0 => (2x+1) (2x+2)   D. x^2 + 10x + 25 = 0 => (x+5) (x+5)   None of the answer equations have exactly both the same roots as the question equation, but at least one of them does share one of the two roots.   So IMO "A" is correct answer... because it shares the one root (part of the solution), 5, from the (x-5) portion of its simplification.
Answer: A
Find the difference between the local value and face value of 5 in the numeral 475240 is Choose one: A) 4990 B) 4890 C) 4995 D) 4885 E) 4775

Solution: Explanation:   (Local value of 5) - (Face value of 5)   = (5000 - 5)= 
(5000 - 5) = 4_995
4995   Answer: Option 4995
Answer: C
In a college, the ratio of the number of boys to girls is 8 : 5. If there are 100 girls, the total number of
students in the college is  Choose the correct answer:
A) 420	B) 520	C) 620	D) 260	E) None of these

Solution: Explanation:   Let the boy are 8x and Girls are 5x   => 5x = 100   => x = 20   Total students = 8x+5x = 13x 8 +5= 
8 +5 = 13
13x= 13(20) = 260   Answer: 260
Answer: D
There are 4 identical pens and 7 identical books. In how many ways can a person select at least one object from this set?
Select the correct option.
A) 11  B) 12  C) 39  D) (2^4 - 1)(2^7 -1)  E) 2^11 - 1

Solution: 7 items can be chosen in 8 ways- 0,1,2..7 at a time   similarly 4 items can be chosen way will be 5- choosing 0, choosing 1.. choosing 4   total ways = 8*5=40..   But we are looking for AT LEAST 1, so subtract 1 way when both are 0..   ans  40-1= 
 40-1 = 39
39.   ANSWER:39
Answer: C
x, y, and z are three positive integers whose average is 10. If x≤y≤z and z-x=3, which of the following could be the median R of x, y, and z?
I. 9
II. 10
III. 11  Pick one.
A) I only  B) II only  C) III only  D) I and II only  E) I and III only

Solution: Average gives us an idea that 3 nos. are close to 10.   so 10, 10, 10 is an unacceptable option because (z-x =3), but it helps in getting other combinations.   Let us see options.   If 9 has to be median R.   1st term has to less than 9 or equal to 9. (also maintain z-x = 3)   9 9 12 --> satisfies all conditions so 9 can be a median value.   If 11 has to be a median   3rd term has to be 11 or more than 11. (also maintain z-x = 3)   8 11 11 -->satisfies all conditions so 9 can be a median value.   Now for 10 to be median.   z+ x = 20 and z-x = 3, we wont have integer values of z.   10 cannot be a median   I and III only is the answer.
Answer: E
An article is bought for Rs.765 and sold for Rs.1000, find the gain percent?	Choose the correct choice from the following choices:
A) 30.6% B) 30.5% C) 30.7% D) 30.8% E) 30.9%

Solution: 765 ---- 235   100 ---- ? => 30.7%   Answer:30.7%
Answer: C
If x/y = 2 and (a - x)/(3b - y) = 2, then the value of a/b is?  Answers:
A) –3	B) -2	C) 6	D) 2	E) 3

Solution: x = 2y   a - 2y = 2(3b - y)   a - 2y = 6b - 2y   a = 6b   a/b = 6   Answer: 6
Answer: C
At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years?	Answers:	A) 5%	B) 3 1/2%	C) 4%	D) 5 1/2 %	E) 6 1/2 %

Solution: Explanation:   150 = (750*5*R)/100   R = 4%   ANSWER IS 4%
Answer: C
A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
A. 111.12 m	Pick
A) 111.12 m B) 221.12 m C) 271.12 m D) 611.12 m E) 191.12 m

Solution: Explanation:   A runs 1000 m while B runs 900 m and C runs 800 m.   The number of meters that C runs when B runs 1000 m,   = (1000 * 800)/900 = 8000/9 = 888.88 m.   B can give C = 1000 - 888.88= 
1000 - 888.88 = 111.12
111.12 m.   111.12 mnswer:111.12 m
Answer: A
A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit.  Choose the most appropriate option:
A) 2205
B) 3387
C) 2882
D) 2997
E) 1278

Solution: 2205 = 2000(21/20)2 = 2205   2205nswer: 2205
Answer: A
A number whose fifth part increased by 4 is equal to its fourth part diminished by 4 is ?
Select:
A) 160 B) 180 C) 200 D) 220 E) None

Solution: Answer   Let the number be N.   Then, (N/5) + 4 = (N/4) - 4   â‡’ (N/4) - (N/5) = 8   â‡’ (5N - 4N)/20 = 8   âˆ´ N = 160   Option: 160
Answer: A
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any no. of prizes?  Choose one:
A) 53 B) 58 C) 64 D) 69 E) 72

Solution: Ans.(C)   Sol. In this case, repetitions are allowed, so all the three prizes can be given in 4 ways, i.e. (4 x 4 x 4) ways = 43 ways = 64 ways Or nr ways = 43 ways = 64 ways
Answer: C
A bullet train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the bullet train is 54 km/hr, what is the length of the platform?  Choose the correct option.
A) 240 m	B) 220 m	C) 260 m	D) 224 m	E) 239 m

Solution: A   240 M   Speed = 54 x 5/18 = 15 m/s   Length of the bullet train = (15 x 20)m = 300 m.   Let the length of the platform be x metres.   Then, (x + 300)/36 = 15   --> x + 300 = 540   x = 240m.
Answer: A
The timing of a college is from 12 p.m to 5.00 p.m. Five lectures are held in the given duration and a break of 5 minutes after each lecture is given to the students. Find the duration of each lecture.	Choose one.
A) 56 minutes  B) 45 minutes  C) 30 minutes  D) 48 minutes  E) 44 minutes

Solution: Explanation:   Total time a student spends in college = 5 hours 00 minutes = 300 minutes   As there are 5 lectures, the number of breaks between lectures is 4. Total time of the break = 20 minutes   Hence, the duration of each lecture is = (300 â€“ 20)/5   = 56 minutes   56 minutesNSWER 56 minutes
Answer: A
If n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 8, what is the least possible value of n? Select.
A) 7
B) 4
C) 5
D) 3
E) 6

Solution: We need 3 factors of 2, so n must be at least 4. Therefore, the answer is 4.
Answer: B
A third of Paul's marks in Mathematics exceeds a half of his marks in English by 30. If he got 240 marks in the two subjects together, how many marks did he get in English? Choose the correct choice from the following answers.
A) 50
B) 40
C) 45
D) 60
E) 55

Solution: Let Paul's marks in Mathematics and English be x and y respectively.   Then, x/3 - y/2 = 30, the LCM of 3,2 is 6 by cross multiplying we get 2x - 3y = 180 -- (I)and we know (x + y = 240) * 2 ==>   2x +2y = 480 --(II)   subtract (I) from (II) we get 5y = 300 ==> y = 60.   so Paul's marks in English is 60.   The correct answer is option 60) 60.
Answer: D
If A : B : C = 3 : 4 : 7, then what is the ratio of (A / B) : (B / C) : (C / A)? Options:  A) 63 : 48 : 196  B) 66 : 49 : 190  C) 56 : 40 : 186  D) 46 : 38 : 160  E) 43 : 20 : 170

Solution: EXPLANATION:   Hint: If a = kb for some constant k, then we can say that a is directly proportional to b.   63 : 48 : 196 : B : C = 3 : 4 : 7   63 : 48 : 196ssume, 63 : 48 : 196 = 3 k, B = 4 k, C = 7 k   Therefore,   63 : 48 : 196/B	=	(3k)/(4K)	,	B/C	=	(4k)/(7K)	,	C/63 : 48 : 196	=	(7k)/(3K)   63 : 48 : 196/B	=	(3)/(4)	,	B/C	=	(4)/(7)	,	C/63 : 48 : 196	=	(7)/(3)   L.C.M of 3, 4, 7 is 84   (3 x 84) / 4 = 63   (4 x 84) / 7 = 48   (7 x 84) / 3 = 196   Ratio of (63 : 48 : 196/B) : (B/C) : (C/63 : 48 : 196) = 63:48:196   63 : 48 : 196NSWER IS 63 : 48 : 196
Answer: A
In how many ways 4 boys and 1 girls can be seated in a row so that they are alternate.
Choose the correct choice from the following options
A) 144
B) 288
C) 24
D) 256
E) None

Solution: Solution: Let the Arrangement be,   B B B B G   4 boys can be seated in 4! Ways.   Girl can be seated in 1! Ways.   Required number of ways,   = 4!*1! = 24.   Answer: Option 24
Answer: C
How long will it take for a sum of money to grow from Rs.5000 to Rs.20,000, if it is invested at 10% p.a simple interest? Choose the correct option
A) 30 years B) 64 years C) 72 years D) 56 years E) None

Solution: In this case, Rs. 5000 has become Rs.20,000.   Therefore, the interest earned = 20,000 – 5000 =15000   Interest for Rs 5000 @ 10% for 1 year = 500   500 - 1   15000 - ? => 30 years   30 yearsnswer : 30 years
Answer: A
Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?
Choose the most appropriate option.
A) 128 cm2	B) 150 cm2	C) 172 cm2	D) 177 cm2	E) 167 cm2

Solution: 1/2 * 20(9 + 6)   = 150 cm2   Answer:150 cm2
Answer: B
By selling an article for $100 a man gains $20 then his gain%?
Choose one:
A) 25%	B) 30%	C) 50%	D) 20%	E) 10%

Solution: S.P. = $100   Gain = $20   C.P. = 100-20= 
100-20 = 80
80   Gain%= 20/80 * 100= 
20/80 * 100 = 25
25%   25%nswer is 25%
Answer: A
A cab driver 5 days income was $200, $150, $750, $400 , $500. Then his average income is?
Choose one
A) $420 B) $410 C) $400 D) $390 E) $380

Solution: avg = sum of observations/number of observations   avg income=(200+150+750+400+500)/5= 
(200+150+750+400+500)/5 = 400
400   Answer is $400
Answer: C
At a school, three-fifths of the male students and two-thirds of the female students speak a foreign language. If the number of males is equal to the number of females, what fraction of the students speak a foreign language?
Choose the correct choice from the following choices: A) 17/30 B) 19/30 C) 11/15 D) 7/15 E) 2/5

Solution: Let x be the number of students in the school.   The number of males who speak a foreign language is (3/5)(1/2)x = (3/10)x   The number of females who speak a foreign language is (2/3)(1/2)x = (1/3)x   The total number of students who speak a foreign language is (3/10)x + (1/3)x = (19/30)x   The answer is 19/30.
Answer: B
In a urban village of india named "owlna" , 90% people have refrigerator , 86% people have television , 80% people got computers and 80% got Air-conditionor. how many people(minimum) got all these luxury. Choose the correct choice from the following choices.
A) 23%  B) 36%  C) 30%  D) 34%  E) 42%

Solution: 36%   10%   100 - [ (100-90)+(100-86)+(100-80) +(100-80)]   =100-(10+14+20+20)   =100-64
Answer: B
If a man lost 1% by selling oranges at the rate of 16 a rupee at how many a rupee must he sell them to gain 44%?	Choices
A) 12
B) 14
C) 7
D) 11
E) 10

Solution: 99% ---- 16   144% ---- ?     99/144* 16= 
  99/144* 16 = 11
11   Answer: 11
Answer: D
A man purchased 2 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
Select:
A) A)300  B) B)350  C) C)450  D) D)470  E) E)550

Solution: 550xplanation:     10 * 150= 
  10 * 150 = 1_500
1500   2 * 100 + 5 * 150= 
2 * 100 + 5 * 150 = 950
950   1500 – 950= 550   550
Answer: E
If a farmer wants to plough a farm field on time, he must plough 340 hectares a day. For technical reasons he ploughed only 85 hectares a day, hence he had to plough 2 more days than he planned and he still has 40 hectares left. What is the area of the farm field and how many days the farmer planned to work initially?	Choose the correct choice from the following answers:
A) 280	B) 490	C) 720	D) 435	E) 679

Solution: Let x be the number of days in the initial plan. Therefore, the whole field is 340â‹…x hectares. The farmer had to work for x+2 days, and he ploughed 85(x+2) hectares, leaving 40 hectares unploughed. Then we have the equation:   340x=85(x+2)+40   255x=210   x=0.823   So the farmer planned to have the work done in 6 days, and the area of the farm field is 340(0.823)=280 hectares   correct answer 280
Answer: A
What percent is 120 of 90?	Choose the correct option:
A) 133 1/3 %  B) 132 1/3%  C) 132 2/3%  D) 132 2/5%  E) 131 1/5%

Solution: 120/90 = 4/3   4/3 × 100 = 400/3 = 133 1/3 %   133 1/3 %)
Answer: A
The average age of students of a class is 15.8 years. The average age of boys in the class is 16.5 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is:
Choose one.
A) 2:5 B) 2:3 C) 2:4 D) 2:1 E) 4:7

Solution: Let the ratio be k : 1. Then,   k * 16.5 + 1 * 15.4 = (k + 1) * 15.8   = (16.5 - 15.8)k = (15.8 - 15.4)   = k = 0.4/0.7 = 4/7   Required ratio = 4/7 : 1 = 4:7.   Answer:4:7
Answer: E
A boy sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
Choose the correct choice from the following answers
A) 860  B) 880  C) 900  D) 920  E) 940

Solution: CP = SP + 1CP = SP - g   800 + x = 980 - 2x   3x = 180 => x = 60   CP = 800 + 60= 
800 + 60 = 860
860   860
Answer: A
If the cost price of 50 articles is equal to the selling price of 40 articles, then the gain or loss percent is?
Options.
A) 27%
B) 75%
C) 95%
D) 35%
E) 25%

Solution: Given that, cost price of 50 article is equal to selling price of 40 articles.   Let cost price of one article = Rs. 1   Selling price of 40 articles = Rs. 50   But Cost price of 40 articles = Rs. 40   Therefore, the trader made profit.\Percentage of profit = 10/40 * 100= 
10/40 * 100 = 25
25%   Answer: 25%
Answer: E
How many bricks each measuring 25cm x 11.25cm x 6cm, will be needed to build a wall 8m x 6m x 22.5m Choose the correct choice from the following options.
A) 5600
B) 600
C) 6400
D) 7200
E) None of these

Solution: Explanation:   no. of bricks= volume of the wall/volume of 1 brick = (800 x 600 x 22.5) / (25 x 11.25 x 6) = 6400   Answer: 6400
Answer: C
79 laboratories raise the bacterium, the laboratory have 48 culture dishes on average, which has about 25,070 bacteria each. How many bacteria are there approximately?  Pick
A) 10^7	B) 10^8	C) 10^9	D) 10^10	E) 10^11

Solution: 79 laboratories raise the bacterium, the laboratory have 48 culture dishes on average, which has about 25,070 bacteria each. How many bacteria are there approximately?   A. 10^7   B. 10^8   C. 10^9   D. 10^10   E. 10^11   -> Due to approximately, 79=80, 48=50, 25,070=25,000 are derived, which makes (79)(48)(25,075)=(80)(50)(25,000)=10^8. The answer is 10^8.
Answer: B
A and B can do a piece of work in 10 days, while B and C can do the same work in 15 days and C and A in 25 days. they started working together, after 4 days A left. After another 4 days B left. In how many days C can finish the remaining work?
Choose the correct answer
A) 16  B) 32  C) 64  D) 96  E) None of These

Solution: Let the rates of A, B and C be a, b, and c respectively.   A and B can do a piece of work in 10 days: a + b = 1/10;   B and C can do the same work in 15 days: b + c = 1/15;   C and A can do the same work in 25 days: c + a = 1/25.   Sum the above 3 equations: 2(a + b + c) = 31/150 --> a + b + c = 31/300   Subtract a + b = 1/10 from above to get c = 1/300.   For 4 days all 3 worked and completed 4*(a + b + a) = 124/300 of the work.   For the next 4 days B and C worked and they completed 4(b + c) = 4/15 = 80/300 of the work.   So, by the time C is left alone 1 - (124/300 + 80/300) = 96/300 of the work is left to be completed by C alone.   Time = Job/Rate = (96/300)/(1/300)= 
(96/300)/(1/300) = 96
96 days.   Answer: 96
Answer: D
What is the smallest integer k for which 64^k > 4^16?	Select:
A) 4
B) 5
C) 6
D) 7
E) 8

Solution: 64^k > 4^16   4^(3k) > 4^16   3k > 16   k = 6   The answer is 6.
Answer: C
Find the average of all prime numbers between 30 and 50? Choose one.
A) 24.7	B) 39.8	C) 12.3	D) 41.3	E) 15.8

Solution: There are five prime numbers between 30 and 50.   They are 31,37,41,43 and 47.   Therefore the required average=(31+37+41+43+47)/5 = 199/5 = 39.8.   Ans: 39.8
Answer: B
The average of first six prime numbers greater than 3 is?  Answers
A) 16  B) 10  C) 12  D) 19  E) 17.8

Solution: 5 + 7 +11 + 13 + 17 + 19= 
5 + 7 +11 + 13 + 17 + 19 = 72
72/6= 
72/6 = 12
12   Answer: 12
Answer: C
The average expenditure of a man for the first five months is Rs.60 and for the next seven months it is Rs.130. If he saves Rs.290 in that year, his monthly average income is :
Choose one:  A) Rs.125  B) Rs.150  C) Rs.165  D) Rs.170  E) none

Solution: Explanation:   Total income = Rs.(60Ã—5+130Ã—7+290)=Rs.1500   Average monthly income   = Rs. (1500/12)=Rs.125   Correct Option: Rs.125
Answer: A
A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 50 sq. feet, how many feet of fencing will be required? Options:	A) 34	B) 40	C) 25	D) 88	E) 78

Solution: We have: l = 20 ft and lb = 50 sq. ft.   So, b = 2.5 ft.   Length of fencing = (l + 2b) = (20 + 5)= 
(20 + 5) = 25
25 ft.   ANSWER:25
Answer: C
In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together?	Pick.
A) 720  B) 740  C) 760  D) 780  E) 800

Solution: Option '720'
Answer: A
A bag contains 3 red, 4 black and 2 white balls. What is the probability of drawing a red and a white ball in two successive draws, each ball being put back after it is drawn?	Options: A) 2/27 B) 1/9 C) 1/3 D) 4/27 E) 2/9

Solution: P=2∗3/9∗2/9=4/27   We are multiplying by 2 as there are two possible wining scenarios RW and WR.   Answer: 4/27.
Answer: D
A car rental company charges for mileage as follows: 9 dollars per mile for the first n miles and 10 dollars per mile for each mile over n miles. How much will the mileage charge be, in dollars, for a journey of d miles, where d > n ?  Choose the correct answer
A) d-n	B) 6d-n	C) 10d-n	D) 8d-n	E) 12d-n

Solution: Total Distance in miles = d   Millage Charge = 9n + (d-n) 10   9n --> For the first n Miles   (d-n)10--> Total no of miles after traveling the first n miles is d-n and the rate after n miles is 10 .   If we solve the equation , We will get 10d-n   Answer : 10d-n
Answer: C
The cost price of a radio is Rs.1500 and it was sold for Rs.1335, find the loss %?  Choose the correct choice from the following options
A) 18  B) 16  C) 26  D) 17  E) 11

Solution: 11xplanation:   1500 ---- 165   100 ---- ? => 11%   Answer:11
Answer: E
In the rectangular coordinate system, what is the x-intercept of a line passing through (10, 3) and (−10, −7)? Choose the correct choice from the following: A) 4 B) 2 C) 0 D) −2 E) −4

Solution: slope = rise/run = 10/20 = 1/2   The equation of the line is y = (1/2)x + b   3 = (1/2)(10) + b   b = -2   The equation of the line is y = (1/2)x - 2   To find the x-intercept, let y = 0:   0 = (1/2)x - 2   x = 4   The answer is 4.
Answer: A
Find the 15th term of an arithmetic progression whose first term is 2 and the common difference is 3.  Choose the correct choice from the following answers:
A) 45  B) 38  C) 44  D) 40  E) 46

Solution: n th term of A.P = a +(n-1) *d   = 2+(15-1)*3 , = 2 + 42= 
2 + 42 = 44
44.   ANSWER:44
Answer: C
Ravi can do a piece of work in 20 days while Prakash can do it in 40 days. In how many days will they finish it together?  Choose the correct option: A) 5 7/9 days B) 6 7/9 days C) 5 1/9 days D) 5 7/2 days E) 4 7/9 days

Solution: 1/20 + 1/40 = 3/40   40/7 = 5 7/9 days   5 7/9 daysNSWER:5 7/9 days
Answer: A
In a dairy farm, 46 cows eat 46 bags of husk in 46 days. In how many days one cow will eat one bag of husk ?  Choose the correct choice from the following answers:
A) 34 days B) 40 days C) 46 days D) 50 days E) None of these

Solution: Explanation:   Less 46 daysows, More days (Indirect Proportion)   Less bags, Less days (Direct Proportion)   [46 daysows1 46   Bags 46 1]::46:x   =>x∗46∗1=46∗1∗46   =>x=46   Option 46 days
Answer: C
Tap A runs 3 liters of water per minute into a bucket that has a total volume of 36 liters. Tap B fills a third of the bucket in 20 mins.
Working together how long will it take both taps to fill the bucket ?	Choose the correct choice from the following choices.
A) 10 minutes	B) 1.5 hours	C) 9 hours and 12 minutes	D) 15 hours	E) 1 hour and 48 minutes.

Solution: Pipe A has a rate of 3 liters per minute which equals a rate of 180 liters per hour.   Pipe B has a rate of 36 liters per hour.   180 + 36 (A+B) = Together they have a rate of 2000 liters per hour.   36 (The bucket) / 216 = 1/6 = 10 minutes   10 minutesnswer -10 minutes
Answer: A
A person can row upstream 20 kmph and downstream 30 kmph. Find the person rate in still water and rate of the stream.
Answers
A) 25,5 B) 10,5 C) 5,5 D) 10,5 E) 1,5

Solution: Explanation:   Please remember,   If a is rate downstream and b is rate upstream   Rate in still water = 1/2(a+b)   Rate of current = 1/2(a-b)   => Rate in still water = 1/2(30+20) = 25 kmph   => Rate of current = 1/2(30-20) = 5 kmph   Option 25,5
Answer: A
The cost price of 18 articles is equal to the selling price of 11 articles. Find the profit percent? Answers
A) 68 2/91%  B) 63 7/11  C) 68 9/11%  D) 68 2/91%  E) 62 2/11%

Solution: 18 CP = 11 SP   11 --- 2 CP   100 --- ? =>63 7/11%   Answer:63 7/11
Answer: B
Anand and Deepak started a business investing Rs. 12,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 10,800, Deepak's share is?  Choose the most appropriate option.
A) Rs. 9400 B) Rs. 8900 C) Rs. 8400 D) Rs. 3400 E) Rs. 7957.9

Solution: Ratio of their shares = 12500 : 35000 = 5:14   Deepak's share = 10800 * 14/19 = Rs. 7957.9   Answer:Rs. 7957.9
Answer: E
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?  Choose the correct choice from the following answers.
A) Rs.18
B) Rs.15
C) Rs.11
D) Rs.19
E) Rs.12

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:Rs.15
Answer: B
The diagonals of a rhombus are 14 cm and 18 cm. Find its area?	Choose the correct choice from the following choices:  A) 176  B) 190  C) 150  D) 126  E) 292

Solution: 1/2 * 14 * 18= 
1/2 * 14 * 18 = 126
126   Answer:126
Answer: D
Mr. Yutaro’s class contains 4 boys and 12 girls. If two students are chosen, one at a time, from the class, what is the probability that a boy and a girl are chosen?	Choose the correct choice from the following choices:
A) 9/48	B) 2/15	C) 11/24	D) 27/48	E) 13/16

Solution: Probability of a boy being chosen first, then a girl:   4/16 * 12/15   Probability of a girl being chosen first, then a boy:   12/16 * 4/15   Probability of a boy and a girl being chosen:   (4*12+12*4) / (15*16)   =2/15   Answer:2/15
Answer: B
A tour group of 25 people paid a total of $600 for entrance to a museum. If this price included a 5% sales tax, and all the tickets cost the same amount, what was the face value of each ticket price without the sales tax?
Choices
Choose the correct choice.
A) $22.8 B) $23.94 C) $24 D) $25.20 E) $30

Solution: $22.8.
Answer: A
Find the missing figures :
?% of 50 = 2.125	Options: A) 8.55 B) 6.55 C) 8.75 D) 7.75 E) 4.25

Solution: (i)	Let x% of 50 = 2.125. Then , (x/100)*50 = 2.125   X = (2.125 * 2)= 
(2.125 * 2) = 4.25
4.25   Answer is 4.25.
Answer: E
A diet contains 400 grams of a mixture of two foods, food X and food Y. Food X contains 10 percent protein and food Y contains 15 percent protein. If a diet provides exactly 46 grams of protein daily, how many grams of food X are in the mixture?  Choices
A) 280 B) 300 C) 320 D) 340 E) 360

Solution: Let x be the number of grams of food X in the mixture.   0.1x + 0.15(400-x) = 46   0.05x = 14   x = 280   The answer is 280.
Answer: A