MU-NLPC/Calc-aqua_rat huggingface dataset:
One-third of a two digit number exceeds its one fourth by 6. What is the sum of the digits of the number?  Choose the correct answer:
A) seven  B) eight  C) nine  D) ten  E) eleven

Solution: Explanation:   x/3 – x/4 = 6 => x =72   7 + 2= 
7 + 2 = 9
9   nine
Answer: C
Which of the following numbers is between 2⁄3 and 3⁄4?
Choose the correct choice from the following choices.
A) .45
B) .35
C) .70
D) .22
E) .20

Solution: Isn't it .70?   2/3 = .66   3/4= 
3/4 = 3/4 = around 0.75
.75   The only answer between that is .70, .70.
Answer: C
At what rate percent on simple interest will Rs.800 amount to Rs.950 in 5 years?	Choose the correct choice
A) 3.75% B) 5.93% C) 4.75% D) 5.33% E) 6.33%

Solution: 150 = (800*5*R)/100   R = 3.75%   3.75%NSWER:3.75%
Answer: A
Evaluate 64 / .08 Options.
A) 800  B) 500  C) 505  D) None of these  E) 506

Solution: Explanation:   64/.08 = 6400/8= 
6400/8 = 800
800   Option 800
Answer: A
A collection of books went on sale, and 2/3 of them were sold for $3.50 each. If none of the 36 remaining books were sold, what was the total amount received for the books that were sold?  Choose the correct choice from the following choices
A) $252	B) $135	C) $90	D) $60	E) $54

Solution: Since 2/3 of the books in the collection were sold, 1/3 were not sold. The 36 unsold books represent 1/3 of the total number of books in the collection, and 2/3 of the total number of books equals 2(36) or 72. The total proceeds of the sale was 72($3.50) or $252. The best answer is therefore A.   $252nswer: $252.
Answer: A
6x − 12 = 6y
y + x = 15
Which of the following is the number of solutions to the system of equations shown above?	Answers
A) More than three	B) Exactly three	C) Exactly two	D) Exactly one	E) None

Solution: 6x − 12 = 6y   => 6x - 6y = 12   => x- y =2 -- 1   y + x = 15   =>x + y =15 -- 2   From equation 1 and 2 , we get   2x = 17   => x=8.5   y=6.5   Therefore , the given system will have Exactly one solution   Exactly one
Answer: D
John and Amanda stand at opposite ends of a straight road and start running towards each other at the same moment. Their rates are randomly selected in advance so that John runs at a constant rate of 2, 3, 4, or 5 miles per hour and Amanda runs at a constant rate of 3, 4, 5, 6, or 7 miles per hour. What is the probability that John has traveled farther than Amanda by the time they meet?  Choose the correct choice from the following
A) 1/5	B) 2/5	C) 3/10	D) 3/20	E) 7/20

Solution: John will run farther if he runs at 5 mph and Amanda runs at 4 mph or 3 mph.   In this case, P(John runs farther) = 1/4 * 2/5 = 2/20   John will run farther if he runs at 4 mph and Amanda runs at 3 mph.   In this case, P(John runs farther) = 1/4 * 1/5 = 1/20   P(John runs farther) = 2/20 + 1/20 = 3/20   The answer is 3/20.
Answer: D
A 30% alcohol mixture is added to a 50% alcohol mixture to form a 10 litre mixture of 45% alcohol. How much of the 30% mixture was used?	Pick one
A) 1.5 liters B) 2.5 liters C) 3.5 liters D) 4.5 liters E) 5.5 liters

Solution: solution A=50% solution solution b=30% solution   30%-45% =15% solution B   50%-45%=5% solution A   so the ratio is 3:1 for 30%:50% solutions   3/4 *10 liter50 -45= 
50 -45 = 5
5% solution A   so the ratio is 3:1 for 30%:50% solutions     3/4 *10= 
  3/4 *10 = 15/2 = around 7.5
7.5 for 30% solution and 2.5 for 50% solution..   ANSWER:2.5 liters
Answer: B
The number of permutations of the letters of the word 'MESMERISE' is?	Choose the correct choice from the following
A) 9!/(2!)2 3!  B) 6!/(2!)2 3!  C) 9!/(7!)2 3!  D) 7!/(2!)2 9!  E) 9!/(2!)4 3!

Solution: n items of which p are alike of one kind, q alike of the other, r alike of another kind and the remaining are distinct can be arranged in a row in n!/p!q!r! ways.   The letter pattern 'MESMERISE' consists of 10 letters of which there are 2M's, 3E's, 2S's and 1I and 1R.   Number of arrangements = 9!/(2!)2 3!   9!/(2!)2 3!nswer: 9!/(2!)2 3!
Answer: A
Alka bought 15 books for Rs.2580 from one shop and 20 books for Rs.920 from another. What is the average price he paid per book ?
Select the correct option
A) 104 B) 181 C) 100 D) 35 E) 20

Solution: Average price per book   = (2580 + 920) / (15 + 20)   = 3500 / 35   = Rs.100   Answer:100
Answer: C
There was a grandmother in a village who had a grandchild. Upon asking her grandchild's age she told dat she is as older as many days old as her daughter's age in weeks and as many days as her own age in years. The sum of the three is 130. then how old is the child?
Choose the correct choice from the following options:
A) .3 year B) .4 year C) .5 year D) .7 year E) .9 year

Solution: There was a grandmother in a village who had two grandchild. Upon asking her younger grandchild's age she told that she is as older as many days old as her elder grandchild's age in weeks and as many days as her own age in years. The sum of the three is 130. then how old is the younger child?   answer:   grandmother age - 127 year.   elder grand child - 127 weeks ~ 2.5 year   younger child - 127 days ~ .5 year   ANSWER:.5 year
Answer: C
How many keystrokes are needed to type the numbers from 1 to 200?
Choose the correct option
A) 195
B) 280
C) 364
D) 492
E) 512

Solution: There are 9 one-digit numbers from 1 to 9.   There are 90 two-digit numbers from 10 to 99.   There are 101 three-digit numbers from 100 to 200.   9 + 90(2) + 101(3) = 492   The answer is 492.
Answer: D
In what time will a train 100 m long cross an electric pole, it its speed be 216 km/hr?	Choose the correct choice from the following options:  A) 2.5 sec  B) 1.6 sec  C) 8.5 sec  D) 2.2 sec  E) 4.5 sec

Solution: Speed = 216 * 5/18= 
216 * 5/18 = 60
60 m/sec   Time taken= 100/60   = 1.6 sec.   Answer:1.6 sec
Answer: B
A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in meters) is:
Pick.
A) 600	B) 750	C) 1000	D) 1250	E) None of these

Solution: Speed=(5*5/18)m/sec=25/18 m/sec.   Distance covered in 15 minutes = (25/18*15*60)= 
(25/18*15*60) = 1_250
1250m.   Correct Option: 1250
Answer: D
If a certain computer is capable of printing 4700 monthly credit card bills per hour, while a new model is capable of printing at a rate of 6800 per hour, the old model will take approximately how much longer than the new model to print 10000 bills?	Choose the correct choice from the following answers.
A) 19 mins  B) 29 mins  C) 39 mins  D) 38 mins  E) 37 mins

Solution: old model's 1 hr work = 4700   new model's 1 hr work = 6800   old model' time taken to print 10000 cards   for 1 hr -- 4700 cards   x   -- 10000= 
  -- 10000 = 10_000
10000/4700= 100/47   new model' time taken to print 10000 cards   for 1 hr -- 6800 cards   y   -- 10000= 
  -- 10000 = 10_000
10000/6800= 100/68   x= 10000/4700 = 100/47 = 2 6/47 hr   Difference is   100/47 - 100/68 = 6800 - 4700 /(47*68)   2100/3196 = 0.66 hrs => 39minutes   Old model ll take 39 minutes longer to print 10000 cards than new model   Ans : 39 mins   ANSWER:39 mins
Answer: C
What was the day of the week on 28th May, 2006?
Choose one
A) Thursday  B) Friday  C) Saturday  D) Sunday  E) Monday

Solution: 28 May, 2006 = (2005 years + Period from 1.1.2006 to 28.5.2006)   Odd days in 1600 years = 0   Odd days in 400 years = 0   5 years = (4 ordinary years + 1 leap year) = (4 x 1 + 1 x 2) 6 odd days   Jan. Feb. March April May    (31 + 28 + 31 + 30 + 28 )= 
 (31 + 28 + 31 + 30 + 28 ) = 148
148 days   148 days= (21 weeks + 1 day) 1 odd day.   Total number of odd days = (0 + 0 + 6 + 1)= 
(0 + 0 + 6 + 1) = 7
7 0 odd day.   Given day is Sunday.   Answer: Option Sunday
Answer: D
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Choose the correct option
A) 60 sq.units	B) 158 sq.units	C) 187 sq.units	D) 607 sq.units	E) 815 sq.units

Solution: Given that the area of the square = 225 sq.units   => Side of square = √225 = 15 units   The radius of the circle = side of the square = 15 units   Length of the rectangle = 2/5 * 15= 
2/5 * 15 = 6
6 units   Given that breadth= 10 units   60 sq.unitsrea of the rectangle = lb = 6 * 10= 
6 * 10 = 60
60 sq.units   60 sq.unitsnswer: 60 sq.units
Answer: A
A work can be finished in 16 days by twenty women. The same work can be finished in fifteen days by sixteen men. The ratio between the capacity of a man and a woman is  Pick.
A) 1:3 B) 4:3 C) 2:3 D) 2:1 E) 2:4

Solution: Work done by 20 women in 1 day = 1/16   Work done by 1 woman in 1 day = 1/(16×20)   Work done by 16 men in 1 day = 1/15   Work done by 1 man in 1 day = 1/(15×16)   Ratio of the capacity of a man and woman =1/(15×16) : 1/(16×20) = 1/15 : 1/20   = 1/3 :1/4 = 4:3   Option 4:3
Answer: B
Sum of 3 consecutive even no.'s is 26 more than the 1st no. of the series. Find the middle no.? Pick one
A) 8  B) 12  C) 14  D) 16  E) 18

Solution: Let the numbers be x, x+2 and x+4 then   x + x+2 + x+4 = x+26   3x + 6 = x + 26   2x = 20   \inline \therefore x = 10   \inline \therefore Middle number = x + 2 = 10+2= 
10+2 = 12
12   12
Answer: B
The department received a bonus of $2075 to be split amongst the 25 employees in the department. The senior team members received $100 each while the junior team members received only $75 each. How many junior team members are in the department?  Choose the correct choice from the following answers:
A) 2	B) 4	C) 5	D) 8	E) 10

Solution: s = senior team members   j = junior team members   s + j = 25   j = 25 - s   100s +75j = 2075   100s + 75(25 - s) = 2075   100s + 1875 - 75s = 2075   25s = 200   s = 8   Answer: 8
Answer: D
For every even positive integer m, f(m) represents the product of all even integers from 2 to m, inclusive. For example, f(12) = 2 x 4 x 6 x 8 x 10 x 12. What is the greatest prime factor of f(24) ?	Choose the correct choice:  A) 23  B) 19  C) 17  D) 13  E) 11

Solution: f(24) = 2*4*6*8*10*12*14*16*18*20*22*24 = 2^12*(1*2*3*4*5*6*7*8*9*10*11) --> the greatest prime factor is 11.   Answer: 11.
Answer: E
The maximum number of students among them 890 pens and 630 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is:  Select the correct option
A) 10
B) 910
C) 1001
D) 1911
E) None of these

Solution: Explanation:   Required number of students = H.C.F of 890 and 630 = 10. 10nswer: 10
Answer: A
Factor: 3x4y3 – 48y3 Select
A) 3y3(x2 + 4)(x + 2)(x -2) B) 2y3(x2 + 4)(x + 2)(x -2) C) 3y3(x2 + 4)(x + 2)(x -3) D) 3y3(x2 + 4)(x + 3)(x -2) E) 3y3(x2 + 4)(x + 2)(x -4)

Solution: 3x4y3– 48y3.   = 3y3(x4 – 16).   = 3y3[(x2)2 - 42].   = 3y3(x2 + 4)(x2 - 4).   = 3y3(x2 + 4)(x2 - 22).   = 3y3(x2 + 4)(x + 2)(x -2).   3y3(x2 + 4)(x + 2)(x -2)nswer: (3y3(x2 + 4)(x + 2)(x -2)) 3y3(x2 + 4)(x + 2)(x -2)
Answer: A
From a number of mangoes, a man sells half the number of existing mangoes plus 1 to the first customer, then sells 1/3rd of the remaining number of mangoes plus 1 to the second customer, then 1/4th of the remaining number of mangoes plus 1 to the third customer and 1/5th of the remaining number of mangoes plus 1 to the fourth customer. He then finds that he does not have any mangoes left. How many mangoes did he have originally?	Pick one.
A) 12	B) 14	C) 15	D) 13	E) 16

Solution: Let the No. of mangoes that the man had originally = X   No. of mangoes sold balance   1st customer = (X/2) + 1 (X - 2)/2   2nd customer = (X - 2)/6 + 1 (X - 5)/3   3rd customer = (X - 5)/12 + 1 (X - 9)/4   4th customer = (X - 9)/20 + 1 0   (X - 9)/20 + 1= (X - 9)/4 => X = 14   ANSWER:14
Answer: B
A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Choose the correct option
A) 150  B) 78  C) 268  D) 268  E) 298

Solution: Length of the train be ‘X’   X + 150/15 = X + 250/20   4X + 600 = 3X + 750   X = 150m ]   150nswer: 150
Answer: A
The first five numbers in a regular sequence are 1, 4, 10, 22 and 46. What is the next number in the sequence?  Choose the correct choice from the following options:
A) 142  B) 154  C) 94  D) 182  E) 190

Solution: it is a good Q to learn to pick up number properties in the given set, even if we do not get a Q on these line in actuals..   when we see the sequence 1, 4, 10, 22 and 46 we see that each succeeding number is some value more than twice the previous number..   10=2*4+2..   22=2*10+2..   and so on..   so next number= 2*46+2=94..   94
Answer: C
Two pipes A and B can separately fill a tank in 12 and 15 minutes respectively. A third pipe C can drain off 42 liters of water per minute. If all the pipes are opened, the tank can be filled in 15 minutes. What is the capacity of the tank?  Answers
A) 542
B) 504
C) 548
D) 829
E) 279

Solution: 1/12 + 1/15 - 1/x = 1/15   x = 12   12 * 42= 
12 * 42 = 504
504   Answer: 504
Answer: B
A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.200 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?	Choose the correct choice from the following.
A) 12227  B) 2787  C) 2500  D) 2778  E) 2789

Solution: A:B:2500 = 2/3:1/6:1/6 = 4:1:1   x * 2/100 * 2/3 = 200   B capital = 15000*1/6= 
15000*1/6 = 2_500
2500   Answer: 2500
Answer: C
In a sports club with 27 members, 17 play badminton and 19 play tennis and 2 do not play either. How many members play both badminton and tennis? Choose the correct choice from the following answers:
A) 7  B) 8  C) 9  D) 10  E) 11

Solution: Let x play both badminton and tennis so 17-x play only badminton and 19-x play only tennis. 2 play none and there are total 30 students. hence,   (17-x)+(19-x)+x+2=27   38-2x+x=27   38-x=27   x=11   So 8 members play both badminton and tennis.   11
Answer: E
An article is bought for Rs.675 and sold for Rs.900, find the gain percent?	Choose the correct choice from the following choices:
A) 16 2/3%  B) 30%  C) 33 1/3%  D) 33 1/6%  E) 33 4/6%

Solution: 675 ---- 225   100 ---- ? => 33 1/3%   ANSWER:33 1/3%
Answer: C
A retail appliance store priced a video recorder at 20 percent above the wholesale cost of $200. If a store employee applied the 30 percent employee discount to the retail price to buy the recorder, how much did the employee pay for the recorder? Options:
A) $198  B) $216  C) $220  D) $230  E) $168

Solution: Wholesale cost of video recorder = 200 $   Video recorder was priced at 20 percent above 200 = 240 $   % discount given by store employee = 30   $168mlpoyee paid = .7 * 240= 
.7 * 240 = 168
168 $   Answer $168
Answer: E
There are 9 people in the room. There are two pairs of siblings within that group. If we choose two people, what is the probability that they will not be siblings?
Choose the correct option.
A) 12/18	B) 17/18	C) 2/9	D) 1/18	E) 4/18

Solution: we have XXXXXBBCC   We have to take into the account when we have XX, XB, XC   So 5/9*4/8 5/9*2/8 and 5/9*2/8 note we need to multiply these by 2 (except the first) b/c we can have BX and CX.   20+20+20 --> 60/72 --> 30/36 --> 15/18   then next is   17/18C 2/9*2/8 --> 4/72 2/36 1/18 --> multiply this by 2 b/c of C17/18   so 2/18+15/18 --> 17/18   ANSWER:17/18
Answer: B
Ramesh purchased a refrigerator for Rs. 12500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 10% if no discount was offered?  Answers.
A) Rs. 16500	B) Rs. 15525	C) Rs. 17000	D) Rs. 17600	E) None of these

Solution: Price at which the TV set is bought = Rs. 12,500   Discount offered = 20%   Marked Price = 12500 * 100/80 = Rs. 15625   The total amount spent on transport and installation = 125 + 250 = Rs. 375\Total price of TV set = 15625 + 375 = Rs. 16000   The price at which the TV should be sold to get a profit of 10% if no discount was offered = 16000 * 110/100 = Rs. 17600   ANSWER:Rs. 17600
Answer: D
X starts a business with Rs.35000. Y joins in the business after 3 months with Rs.25000. What will be the ratio in which they should share the profit at the end of the year?
Pick
A) 28:15 B) 29:16 C) 25:23 D) 14:15 E) None of these

Solution: Explanation :   Ratio in which they should share the profit   = Ratio of the investments multiplied by the time period   = 35000 * 12: 25000 * 9   = 35 * 12: 25 * 9   = 7*4: 5 * 3   = 28:15. 28:15nswer : Option 28:15
Answer: A
A, B and C can do a piece of work in 7 days, 14 days and 28 days respectively. How long will they taken, if all the three work together?  Choose the correct choice from the following answers:  A) 4  B) 3  C) 5  D) 6  E) 2

Solution: 1/7 + 1/14 + 1/28 = 7/28 = 1/4 => 4 days   4NSWER 4
Answer: A
Three 6 faced dice are thrown together. The probability that all the three show the same number on them is? Select the correct option.
A) 1/32
B) 1/36
C) 1/33
D) 1/38
E) 1/34

Solution: It all 3 numbers have to be same basically we want triplets. 111, 222, 333, 444, 555 and 666. Those are six in number. Further the three dice can fall in 6 * 6 * 6= 
6 * 6 * 6 = 216
216 ways.   Hence the probability is 6/216= 1/36   Answer: 1/36
Answer: B
If 5 men and 2 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time?	Choose the correct choice from the following answers:  A) 3:2  B) 2:1  C) 3:3  D) 1:2  E) 6:1

Solution: 2:1   2:1   5M + 22:1 = 4(1M + 12:1)   5M + 22:1 = 4M + 42:1   1M = 22:1   The required ratio of work done by a man and a boy = 2:1
Answer: B
A number x is multiplied by 7, and this product is then divided by 5. If the positive square root of the result of these two operations equals x, what is the value of x if x≠0 ? Options:
A) 25/9  B) 9/5  C) 5/3  D) 7/5  E) 9/25

Solution: sqrt(7x/5) to be perfect square x has to 7/5   Ans: 7/5
Answer: D
A single discount equivalent to the discount series of 20%, 10% and 5% is?	Choose the correct choice: A) 31.9 B) 31.7 C) 31.6 D) 31.5 E) 31.1

Solution: 100*(80/100)*(90/100)*(95/100)= 
100*(80/100)*(90/100)*(95/100) = 342/5 = around 68.4
68.4   100 - 68.4= 
100 - 68.4 = 31.6
31.6   Answer:31.6
Answer: C
There are some pigeons and hares in a zoo. If heads are counted, there are 120. If legs are counted, there are 580. The number of hares in the zoo is?
Choose the correct choice from the following answers
A) 20	B) 82	C) 190	D) 137	E) 170

Solution: 120*2= 
120*2 = 240
240   580   -----   340   1----2   ?----340=170   Answer:170
Answer: E
At a small company, 58 percent of the employees are women, and 60 percent of the employees are married. If 2/3 of the men are single, what fraction of the women are married?	Choose the correct choice from the following answers.
A) 5/16 B) 1/3 C) 23/29 D) 7/10 E) 5/7

Solution: Lets take total employees are 100.   Given that,Total Women= 58 and Total Married = 60.   Total Men = 100 - 58= 
100 - 58 = 42
42 and Single men= 2/3*42= 
2/3*42 = 28
28.   Married men= total men - single men = 42 - 28= 
42 - 28 = 14
14.   Married women= Total married - Married men = 60 - 14= 
60 - 14 = 46
46.   Fraction of women are married= Married women / Total Women = 46 / 58 = 23/29. ANS 23/29
Answer: C
Find the C.I. on a sum of Rs.10000 for 9 months at 20% per annum, interest being compounded quarterly?  Pick: A) 2000 B) 10025 C) 1025 D) 2015 E) 2025

Solution: 1025.I.= 10000(21/20)^3-10000   = 1025   Answer: 1025
Answer: C
What is theleast number should be added to 1056, so the sum of the number is completely divisible by 23?  Choose the correct choice:
A) 1  B) 2  C) 4  D) 5  E) 6

Solution: (1056 / 23) gives remainder 21   21 + 2= 
21 + 2 = 23
23, So we need to add 2   2
Answer: B
A set consists of 20 numbers, all are even or multiple of 5. If 9 numbers are even and 12 numbers are multiple of 5, how many numbers is multiple of 10? Choose the correct choice from the following answers: A) 0 B) 1 C) 2 D) 3 E) 5

Solution: {Total} = {Even} + {Multiple of 5} - {Both} + {Nether}.   Since{Neither}=0(allare even or multiple of 5) then:   20 = 9 + 12 - {Both} + 0;   {Both}=1(so 1 number is both even AND multiple of 5, so it must be a multiple of 10).   Answer: 1.
Answer: B
Walking with 4/5 of my usual speed, I miss the bus by 4 minutes. What is my usual time?	Select the correct option
A) 16 min B) 26 min C) 34 min D) 20 min E) 12 min

Solution: Speed Ratio = 1:4/5 = 5:4 Time Ratio   = 4:5 1 -------- 4 4 --------- ? è 16   16 minnswer: 16 min
Answer: A
How many of the positive divisors of 720 are also multiples of 4 not including 720? Answers:
A) 11 B) 12 C) 17 D) 18 E) 24

Solution: 720 = 2^6 * 3 * 5 = (4) * 2^2 * 3^2 * 5   Besides (4), the exponents of 2, 3, and 5 are 2, 2, and 1.   There are (2+1)(2+1)(1+1) = 18 ways to make multiples of 4.   We must subtract 1 because one of these multiples is 720.   The answer is 17.
Answer: C
A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?
Choose the correct choice from the following choices:
A) 12.6 kmph B) 17.5 kmph C) 12.8 kmph D) 12.5 kmph E) 14.5 kmph

Solution: Let the speed of the man in still water be a kmph and let the speed of the stream be b kmph.   Now 30/(a + b) + 20/(a - b) = 4 and 45/(a + b) + 40/(a - b) = 7   Solving the equation, the speed of man in still water is 12.5 kmph.   Answer: 12.5 kmph
Answer: D
Average expenditure of a person for the first 3 days of a week is Rs. 330 and for the next 4 days is Rs. 420. Average expenditure of the man for the whole week is:	Options
A) 350  B) 370  C) 390  D) 430  E) None

Solution: Explanation:   Assumed mean = Rs. 330   Total excess than assumed mean = 4 × (Rs. 420 - Rs. 350) = Rs. 280   Therefore, Increase in average expenditure = Rs. 280/7 = Rs. 40   Therefore, Average expenditure for 7 days = Rs. 330 + Rs. 40 = Rs. 370   Correct Option: 370
Answer: B
By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%? Choose one
A) 8  B) 7  C) 6  D) 4  E) 9

Solution: 80% --- 12   120% --- ?     80/120 * 12= 
  80/120 * 12 = 8
8   8nswer:8
Answer: A
An article is bought for Rs.775 and sold for Rs.900, find the gain percent? Choose the correct choice from the following choices
A) 11.1%  B) 12.1%  C) 13.1%  D) 15.1%  E) 16.1%

Solution: 775 ---- 125   100 ---- ? => 16.1%   Answer:16.1%
Answer: E
Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs. 100 of money?	Choose the correct choice.
A) 1500	B) 6000	C) 2500	D) 1400	E) 2000

Solution: P = 100(100/10)2 => P = 2000   Answer: 2000
Answer: E
The area of a triangle is with base 10m and height 5m?
Choose the correct choice.
A) 11
B) 25
C) 787
D) 122
E) 12

Solution: 1/2 * 10 * 5= 
1/2 * 10 * 5 = 25
25 m2   Answer: 25
Answer: B
Two tains of equal lengths take 10 seconds and 12 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?  Answers:
A) 12 B) 14 C) 10.9 D) 20 E) 18

Solution: Sol.   Speed of the first train = [120 / 10] m/sec = 12 m/sec.   Speed of the second train = [120 / 12] m/sec = 10 m/sec.   Relative speed = (12 + 10) = m/sec = 22 m/sec.   ∴ Required time = (120 + 120) / 22 secc = 10.9 sec.   Answer 10.9
Answer: C
On a Monday in a certain restaurant, 40 percent of the 180 customers ordered the daily special. On Tuesday, only 10 percent of the 120 customers ordered the special. For the two days combined, what percent of the customers ordered the daily special?
Choose the correct choice from the following choices
A) 15%
B) 16%
C) 18%
D) 28%
E) 30%

Solution: 40% of 180= 72   10% of 120=12   Total =84   percent for 2 days combined =84/300 =0.28. so it should be less than 0.28 so it is 28%   Answer:28%
Answer: D
Sum of three numbers 292, If the first number be twice then second and third number be one third of the first, then the second number is	Options.
A) A)80  B) B)71  C) C)72  D) D)73  E) E)74

Solution: Explanation:   Let the second number is x, then first is 2x, and third is 1/3(2x)   =>2x+x+2x/3=292   <=>11x/3=292   =>x=80   80nswer: Option 80
Answer: A