MU-NLPC/Calc-aqua_rat huggingface dataset:
The average of first 7 prime numbers is? Select
A) 10.11	B) 11.11	C) 8.29	D) 13.11	E) 14.11

Solution: Sum of 7 prime no. = 58   Average = 58/7 = 8.29   ANSWER: 8.29
Answer: C
In how many ways, a committee of 10 members can be selected from 8 men and 6 ladies, consisting of 6 men and 4 ladies?
Choose the correct answer
A) 150
B) 360
C) 420
D) 310
E) 455

Solution: (6 men out 8) and (4 ladies out of 6) are to be chosen   Required number of ways = 84206*64204 = 420   Answer is 420
Answer: C
The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is:	Choose the correct choice from the following choices
A) 23	B) 19	C) 22	D) 20	E) 21

Solution: Let the total number of workers be x. Then,   8000x = (12000 * 7) + 6000(x - 7)   = 2000x = 42000   = x = 21.   ANSW21R:21
Answer: E
The product of two positive integers is 1023 and their difference is 2. What is the bigger number?
Choose the correct option:
A) 29
B) 31
C) 33
D) 35
E) 37

Solution: Let's use trial and error to find the two numbers.   32*30= 
32*30 = 960
960 (too low)   33*31= 
33*31 = 1_023
1023   The answer is 33.
Answer: C
If x, y, and z are positive integers, and 4x = 5y = 6z, then the least possible value of x + y + z is
Options
A) 15 B) 28 C) 37 D) 42 E) 60

Solution: Take LCM of 4,5 and 6 = 60   Now 4x = 60 => x =15   5y = 60 => y = 12   6z = 60 => z =10   115+12+10 = 37.   Option 37.
Answer: C
Find out the wrong number in the given sequence of numbers.
36, 54, 18, 27, 9, 18.5, 4.5
Choose the most appropriate option: A) 18.8 B) 18.5 C) 18.0 D) 18.1 E) 18.7

Solution: Explanation:   The terms are alternatively multiplied by 1.5 and divided by 3. However, 18.5 does not satisfy it.   Answer: 18.5) 18.5
Answer: B
If “GREEN” is given number code as 49, what is the difference between the number codes of “VIOLET” and “PINK” ?  Choose the correct choice from the following options.
A) 55 B) 45 C) 33 D) 60 E) 40

Solution: Explanation:   Case – Codes : A - 1, B - 2, C - 3, D - 4, E - 5, F - 6, G - 7, H - 8, I - 9, J - 10, K - 11, L - 12, M - 13, N - 14, O - 15, P - 16, Q - 17, R - 18, S - 19, T - 20, U - 21, V - 22, W - 23, X - 24, Y - 25, Z - 26   GREEN = 7 + 18 + 5 + 5 + 14= 
7 + 18 + 5 + 5 + 14 = 49
49   Thus we get,   VIOLET= 22 +9 +15+12 + 5 + 20= 
22 +9 +15+12 + 5 + 20 = 83
83   PINK= 16 + 9 + 14 + 11= 
16 + 9 + 14 + 11 = 50
50   Thus, difference is 83 – 50= 33.   ANSWER 33
Answer: C
The average of a set of five distinct integers is 420. If each number is less than 2,000, and the median of the set is the greatest possible value, what is the sum of the two smallest numbers?  Choose the correct choice from the following:
A) -4,494 B) -3,997 C) -3,894 D) -3,194 E) The answer cannot be determined from the information given

Solution: Sum of the set = 420*5= 
420*5 = 2_100
2100 Each number is less than 2000 and median of the set is the greatest possible value.   Therefore last 3 numbers can be 1999,1998 and 1997. Their sum=5994.   Therefore sum of two smallest numbers= 2100-5994= -3894   Answer=-3,894
Answer: C
How long will a boy take to run round a square field of side 45 meters, if he runs at the rate of 9km/hr?	Choose one: A) 72sec B) 45sec C) 1min D) 32sec E) 25sec

Solution: Speed = 9 km/hr = 9*5/18 = 5/2 m/sec   Distance = 45*4= 
45*4 = 180
180m   Time taken= 180*2/5= 
180*2/5 = 72
72sec   72secnswer is 72sec
Answer: A
A customer pays 50 dollars for a coffee maker after a discount of 20 dollars
What is the original price of the coffe maker?
Choose the correct option
A) 70  B) 80  C) 90  D) 50  E) 60

Solution: Solution   Let x be the original price.   x - 20 = 50   x - 20 + 20 = 50 + 20   x + 0 = 70   x = 70   70nswer 70
Answer: A
How many positive integers between 1 and 100 are there such that they are multiples of 15?
Choose the correct choice from the following choices.
A) 5  B) 4  C) 7  D) 1  E) 6

Solution: Multiples of 15 = 15,30,45,-----90   Number of multiples of 15 => 90-15/15+1= 6   Answer is 6
Answer: E
A man took some money for borrowed, for 3 years the total will be Rs.4000 and 5 years it will be Rs.5000/-. Then how much amount he borrowed?  Pick:
A) Rs.2000/- B) Rs.2500/- C) Rs.2770/- D) Rs.2800/- E) Rs.2820/-

Solution: 3 years --------> Rs.4000/-   5 years --------> Rs.5000/-   ~ ~   ------------------------------   2 years ---------> Rs.1000/-   1 year ----------> Rs.500/-   3years * Rs.500/- = Rs.1500/-   P = Rs.4000/- - Rs.1500/- = Rs.2500/-   P = Rs.2500/-   Rs.2500/-
Answer: B
Trains A and B start simultaneously from stations 350 miles apart, and travel the same route toward each other on adjacent parallel tracks. If Train A and Train B travel at a constant rate of 40 miles per hour and 30 miles per hour, respectively, how many miles will Train A have traveled when the trains pass each other, to the nearest mile?	Choose the correct option:  A) 112  B) 133  C) 150  D) 167  E) 200

Solution: Since we know the distance (350) and the combined rate (70), we plug it into the formula:   Distance = Rate * Time   350 = 70 * Time   We can solve for the time they will meet cause we added the rate of Train A and Train B together.   So the time will be 350/70 from dividing 70 on both sides to isolate Time in the equation above.   Time will be 5 hours so now you can plug that in for Train A’s distance.   Distance = Rate * Time   Distance = 40 * 5= 
40 * 5 = 200
200 according to answer choice 200.
Answer: E
A single discount equivalent to the discount series of 20%, 15% and 5% is?  Select.
A) 31.5 B) 31.8 C) 31.6 D) 35.4 E) 31.1

Solution: 100*(80/100)*(85/100)*(95/100)= 
100*(80/100)*(85/100)*(95/100) = 323/5 = around 64.6
64.6   100 - 64.6= 
100 - 64.6 = 35.4
35.4   Answer:35.4
Answer: D
A, B and C start a business with each investing Rs 20,000. After 5 months A withdraws Rs 5000, B withdraws Rs 4000 and C invests Rs 6000 more. At the end of the year, a total profit of Rs 69900 was recorded. Find the share of A.  Choose the correct choice from the following answers:	A) 20000	B) 21500	C) 20500	D) 22000	E) 21000

Solution: A : B : 20500   =(20000×5+15000×7)   :(20000×5+16000×7)   :(20000×5+26000×7)   =(20×5+15×7)   :(20×5+16×7)   :(20×5+26×7)   =205:212:282   A's share =69900×205/(205+212+282)   =69900×205/699   =20500   Answer is 20500.
Answer: C
The current of a stream runs at the rate of 4 kmph. A boat goes 10 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
Select the correct option:	A) A)7	B) B)2	C) C)8.9	D) D)11.4	E) E)3

Solution: S = 4   M = x   11.4S = x + 4   US = x - 4   10/(x + 4) + 10/(x - 4) = 2   x = 11.4   Answer:11.4
Answer: D
The speeds of 3 trains in the ratio 2:6:14. The ratio between time taken by them to travel the same distance is? Select:
A) 6:4:3
B) 21:7:3
C) 4:8:9
D) 6:5:2
E) 4:8:7

Solution: Ratio of time taken is = 1/2 : 1/6 : 1/14 = 21:7:3   Answer is 21:7:3
Answer: B
A box contains 6 pairs of shoes (12 shoes in total). If two shoes are selected at random, what it is the probability that they are matching shoes? Pick one:  A) 1/11  B) 1/20  C) 1/19  D) 1/10  E) 1/9

Solution: The problem with your solution is that we don't choose 1 shoe from 12, but rather choose the needed one AFTER we just took one and need the second to be the pair of it. So, the probability would simply be: 1/1*1/11as after taking one at random there are 11 shoes left and only one is the pair of the first one)=1/11   1/11nswer: 1/11.
Answer: A
If the sixth day of a month is two days earlier than Wednesday, What day will it be on the 20th day of the month?
Choose the correct choice from the following answers:
A) Saturday
B) Monday
C) Sunday
D) Wednesday
E) Friday

Solution: Explanation:   Given that sixth day of a month is two days earlier than Wednesday   => Sixth day is Monday   => 13th is Monday   => 20th is Monday   Answer: Option Monday
Answer: B
One side of the bottom layer of a triangular pyramid has 12 balls. How many are there in the whole pyramid?Note that the pyramid is equilateral and solid.
Choose the most appropriate option.
A) 286	B) 364	C) 504	D) 164	E) 154

Solution: As there are 12 balls along one side, it means that there are 12 layers of balls. The top most layer has 1 ball. The second layer has 3 (1+2) balls. The third layer has 6 (1+2+3) balls. The fourth layer has 10 (1+2+3+4) balls. The fifth layer has 15 (1+2+3+4+5) balls. Similarly, there are 21, 28, 36, 45, 55, 66 and 78 balls in the remaining layers.   Hence, the total number of balls are   = 1 + 3 + 6 + 10 + 15 + 21 +28 + 36 + 45 + 55 + 66 + 78= 
1 + 3 + 6 + 10 + 15 + 21 +28 + 36 + 45 + 55 + 66 + 78 = 364
364 balls   ANSWER:364
Answer: B
A train travelling at a speed of 75 mph enters a tunnel 3 1/2 miles long. The train is 1/4 mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?	Choose the correct choice from the following answers:
A) 2.5 min  B) 3 min  C) 3.2 min  D) 3.5 min  E) None

Solution: Solution   Total distance covered	= (7/2 + 1/4) miles   = 15 / 4 miles   = (18 x 5 /18) km/hr   Time taken	= (15 / 4 x 75) hrs   = 1 /20 hrs   = (1 / 20 x 60)   = 3 min.   Answer 3 min
Answer: B
Shipment ------No. of Defective Chips/shipment---Total Chips in shipment
S2 -------------- 5 ------------------------ ----------------------12000
S3 -------------- 6 ----------------------------------------------- 18000
S4 -------------- 4 ----------------------------------------------- 16000
A computer chip manufacturer expects the ratio of the number of defective chips to be total number of chips in all future shipments equal to the corresponding ratio for shipmemts S1,S2,S3 and S4 comined as shown in the table above. What is the expected number Y of defective chips in a shipment of 60000 chips?  Options.
A) 14  B) 20  C) 22  D) 24  E) 25

Solution: I agree with your solution = 20. But the question is:   There are different combination to get 60,000 chips. For example: 1*S3 + 2*S4 + 2*S2. In this way, we ship 60,000 chips with only   6 + 4*2 + 2*2= 
  6 + 4*2 + 2*2 = 18
18 defective chips, better than the average of 20.   The question is to find the expected number Y of defective chips, i guess it assume the minimum #, therefore it might not be 20.
Answer: B
If 12 men or 20 women can do a piece of work in 54 days, then in how many days can 9 men and 12 women together do the work?	Options.
A) 10 days B) 30 days C) 20 days D) 80 days E) 40 days

Solution: E   40 days   Given that 12m = 20w => 3m = 5w   9 men + 12 women = 15 women + 12 women = 27 women   20 women can do the work in 54 days. So, 27 women can do it in   (20 * 54) /27= 
  (20 * 54) /27 = 40
40 days.
Answer: E
At a monthly meeting, 3/5 of the attendees were males and 7/8 of the male attendees arrived on time. If 4/5 of the female attendees arrived on time, what fraction of the attendees at the monthly meeting did not arrive on time?  Choose the most appropriate option.
A) 47/200	B) 31/200	C) 17/100	D) 11/100	E) 7/50

Solution: Males who did not arrive on time are 1/8*3/5 = 3/40 of the attendees.   Females who did not arrive on time are 1/5*2/5 = 2/25 of the attendees.   The fraction of all attendees who did not arrive on time is 3/40 + 2/25 = 31/200   The answer is 31/200.
Answer: B
A man spends 2/5 of his salary on house rent,3/10 of his salary on food and 1/8 of his salary on conveyence.if he has Rs.1400 left with him,find his expenditure on food and conveyence.  Answers:
A) 800
B) 900
C) 100
D) 700
E) 500

Solution: let the salary be x ,therefore house rent =2x/5,food=3x/10,conveyence=x/8.   it is given that left over salary is 1400/-   so,x-(2x/5+3x/10+x/10)=1400   by solving x=8000   expenditure on food=3200 and conveyence=1000   ANSWER:100
Answer: C
Four milkmen rented a pasture. A grazed 24 cows for 3 months; B 10 for 5 months; C 35 cows for 4 months and D 21 cows for 3 months. If A's share of rent is Rs. 7200, find the total rent of the field.
Select the correct option:  A) 37500  B) 35500  C) 42500  D) 22500  E) 32500

Solution: Ratio of shares of A, B, C, D = (24 x 3) : (10 x 5) : (35 x 4) : (21 x 3) = 72 : 50 : 140 : 63.   Let total rent be Rs. x. Then, A’s share = Rs. (72x)/325   (72x)/325=7200 = x=(7200 x 325)/72 = 32500   Hence, total rent of the field is Rs. 32500.   Answer is 32500.
Answer: E
6th March, 2005 is Monday, what was the day of the week on 6th March, 2004?	Answers:
A) Friday
B) Saturday
C) Wednesday
D) Sunday
E) Monday

Solution: Number of days from 6th March, 2004 to 5th March 2005 = 365 days   (Though Feb 2004 has 29 days as it is a leap year, it will not come in the required period)   365 days = 1 odd day   Given that 6th March, 2005 is Monday   Hence 6th March, 2004 = (Monday - 1 odd day) = Sunday   Answer: Option Sunday
Answer: D
Five years ago a father was thrice as old as his son. Five years hence the son will only half the age of his father. Find their present ages.  Options.
A) 25, 25  B) 35, 15  C) 15, 35  D) 15, 35  E) 10, 40

Solution: Explanation:   Let the present ages of father,and son be 'a' and 'b' respectively.   a - 5= 3(b-5) =>a-3 b =-10 --------(1)   a-2b =5 ------------(2) solving (1) and (2), we get b =15   Substituting b = 15 in second equation,   we get a=35   Answer: 35, 15
Answer: B
If a particular is never chosen, in how many ways can a cricketbe chosen out of 15 players?  Choose the correct choice from the following.
A) 327
B) 340
C) 364
D) 499
E) 456

Solution: A particular players is never chosen, it means that 11 players are selected out of 14 players.   => Required number of ways = 1436411   = 14!/11!x3! = 364   364
Answer: C
A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.5000, find their shares?  Pick.
A) 2000,8000  B) 2000,4000  C) 2000,3000  D) 1000,3000  E) 4000,3000

Solution: The ratio of their profits A:B = 8:12 =2:3   Share of A in the total profit = 2/5 * 5000 = Rs.2000   Share of B in the total profit = 3/5 * 5000 = Rs.3000   Answer:2000,3000
Answer: C
Rectangular tile each of size 25cm by 16cm must be laid horizontally on a rectangular floor of size 180cm by 120cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is:
Answers
A) 52
B) 54
C) 55
D) 65
E) 48

Solution: Area of tile = 25*16= 
25*16 = 400
400   Area of floor= 180*120= 
180*120 = 21_600
21600   No of tiles= 21600/400= 
21600/400 = 54
54   So, the no of tile= 54   ANSWER:54
Answer: B
Two brothers were expected to return here on the same day. Rajat returned 3 days earlier but Rohit returned 4 days later. If Rajat returned on Friday, what was the expected day when both the brothers were to return home and when did Rohit Return?	Choose the correct answer
A) Wednesday, Sunday	B) Thursday, Monday	C) Monday, Friday	D) Monday, Friday	E) none

Solution: Rajat returned on Friday -i.e. 3 days earlier   so actual day to return home is Monday.   Rohit returned after days so Friday   ANSWER:Monday, Friday
Answer: C
Each of the products produced yesterday was checked by worker x or worker y. 0.5% of the products checked by worker x are defective and 0.8% of the products checked by worker y are defective. If the total defective rate of all the products checked by worker x and worker y is 0.55%, what fraction of the products was checked by worker y?
Choose the correct choice from the following answers.
A) 1/3 B) 1/4 C) 1/5 D) 1/6 E) 1/8

Solution: x: 0.5% is 0.05%-points from 0.55%.   y: 0.8% is 0.25%-points from 0.55%.   Therefore the ratio of products checked by y:x is 1:5.   Thus, worker y checked 1/6 of the products.   The answer is 1/6.
Answer: D
The difference between the ages of two persons is 20 years. Fifteen years ago, the elder one was twice as old as the younger one. The present age of the younger person is? Select:
A) 30
B) 35
C) 25
D) 28
E) 32

Solution: Let their ages be x years and (x+20) years   Then, (x+20) - 15 = 2(x-15)   x +5 = 2x-30   x = 35   Answer is 35
Answer: B
20-5*4^2+15 = ?
Choices.
A) 287	B) -13	C) -45	D) 13	E) None

Solution: 20-5*4^2+15   = 20-5*16+15   =20-48+15=-45..   -45
Answer: C
A car rental company charges for mileage as follows: 3 dollars per mile for the first n miles and 4 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 ?
Pick: A) 5d-n B) 6d-n C) 7d-n D) 8d-n E) 4d-n

Solution: Total Distance in miles = d   Millage Charge = 3n + (d-n) 4   3n --> For the first n Miles   (d-n)4--> Total no of miles after traveling the first n miles is d-n and the rate after n miles is 4 .   If we solve the equation , We will get 4d-n   Answer : 4d-n
Answer: E
In an examination series, which consists of 5 exams, Arvind scored an average of 60 marks in
the first 3 exams and an average of 70 in the last 4 exams, what is the average score of
Arvind for the first and last two exams if his average scores of all the five exams are 65?  Pick.
A) 31
B) 32
C) 63
D) 64
E) 65

Solution: let a,b,c,d,e be the five exams   (a+b+c+d+e)/5=65   a+b+c+d+e=325   first 3 exams avg is (a+b+c)/3=60   a+b+c=180   d+e=325-180= 
325-180 = 145
145   avg of last 4 exams is (b+c+d+e)/4=70   b+c+d+e=280   a=325-280= 
325-280 = 45
45   avg of first and last two exams are(a+d+e)/3=(45+145)/3=(190)/3=63.33   ANSWER:63
Answer: C
A bakery has 6 employees. It pays annual salaries of $15,000 to each of 2 employees, $17,000 to 1 employee, and $18,000 to each of the remaining 3 employees. Which number is closest to the average (arithmetic mean) annual salary of these employees?
Choose the correct choice from the following options:
A) $16,200
B) $16,500
C) $16,800
D) $17,000
E) $17,400

Solution: average = 2(15000)+(17000)+3(18000) / 6 = $16,833   The answer is $16,800.
Answer: C
Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Answers
A) 9.30 a.m B) 10 a.m C) 10.40 a.m D) 11 a.m E) 11.40 am

Solution: Suppose they meet x hours after 7 a.m.   Distance covered by A in x hours = 20x km.   Distance covered by B in (x - 1) hours = 25(x - 1) km.   20x + 25(x - 1) = 110   45x = 135   x = 3.   So, they meet at 10 a.m.   answer 10 a.m
Answer: B
A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 350 m long platform?	Choose the correct choice from the following:
A) 87 min B) 82 min C) 86 min D) 47 min E) 72 min

Solution: Let the length of the train be x m.   When a train crosses an electric pole, the distance covered is its own length.   So, x = 12 * 36 * 5 /18= 
12 * 36 * 5 /18 = 120
120 m.   Time taken to cross the platform= (120 +350)/ 36 * 5/18 = 47 min.   Answer:47 min
Answer: D
The greatest number by which the product of three consecutive multiples of 4 is always Choose the correct choice from the following answers:
A) 384 B) 81 C) 162 D) 243 E) None of these

Solution: Explanation:   4*8*12= 
4*8*12 = 384
384   Option 384
Answer: A
In a sample of 800 high school students in which all students are either freshmen, sophomores, juniors, or seniors, 23 percent are juniors and 75 percent are not sophomores. If there are 160 seniors, how many more freshmen than sophomores are there among the sample of students?  Choose the correct option:
A) 42  B) 48  C) 56  D) 64  E) 72

Solution: 200 are sophomores.   The number of freshmen is 600 - 160 - 0.23(800) = 256   The answer is 56.
Answer: C
A shopkeeper sold an article at $1110 and gained a 20% profit. What was the cost price? Choose the correct choice.
A) $850
B) $875
C) $900
D) $925
E) $950

Solution: Let x be the cost price.   1.2x = 1110   x = 1110/1.2= 
1110/1.2 = 925
925   The answer is $925.
Answer: D
A traveller makes 3/4 of his journey by train and 2/3 of the rest by car. If he walks the remaining 12 Kms, the total distance traveled by him is
Choose the correct choice from the following answers:
A) 124 Kms
B) 134 Kms
C) 144 Kms
D) 244 Kms
E) None of the above

Solution: (1-(3/4))(1-(2/3)of distance = 12 km   (1/12) of distance = 12 km   Hence distance = 144 km   ANSWER:144 Kms
Answer: C
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:  Choose the correct choice from the following answers
A) 35
B) 10
C) 40
D) 50
E) 55

Solution: Sum of the present ages of husband, wife and child = (27 * 3 + 3 * 3)= 
(27 * 3 + 3 * 3) = 90
90 years.   Sum of the present age of wife and child= (20 * 2 + 5 * 2)= 
(20 * 2 + 5 * 2) = 50
50 years.   Husband's present age= (90 - 50)= 
(90 - 50) = 40
40 years.   ANSWER 40
Answer: C
In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?  Choose the correct choice from the following:  A) 7 : 2  B) 7 : 3  C) 7 : 5  D) 7 : 7  E) 7 : 9

Solution: By the rule of alligation:   Cost of 1 kg pulses of 1st kindCost of 1 kg pulses of 2nd kind   Rs. 15	Mean Price   Rs. 16.50	Rs. 20   3.50	1.50   Required rate = 3.50 : 1.50 = 7 : 3.   Option 7 : 3
Answer: B
A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number?  Pick:
A) 3
B) 4
C) 6
D) 8
E) 9

Solution: Sol.   Let the number be x.   Then, 3(2x +9) = 75   ⇔ 2x + 9 = 25   ⇔ 2x = 16   ⇔ x = 8   Answer 8
Answer: D
A woman swims downstream 54 km and upstream 6 km taking 6 hours each time, what is the speed of the woman in still water?  Choose the most appropriate option:
A) 2	B) 3	C) 4	D) 5	E) 6

Solution: 54 --- 6 5S = 9   ? ---- 1   6 ---- 6 US = 1   ? ---- 1 M = ?   M = (9 + 1)/2= 
(9 + 1)/2 = 5
5   Answer:5
Answer: D
can you find the last number in the number sequence given below
10: 10 : 20 : 45 : 110 : 300 :? Select the correct option.
A) 870	B) 930	C) 540	D) 630	E) 730

Solution: Correct Answer : 930   ? = last no * multiplication factor (increase by 0.5 every time) + sum factor (Increase by 5 every time)   10*0.5+5= 
10*0.5+5 = 10
10   10*1.0+10= 
10*1.0+10 = 20
20   20*1.5+15= 
20*1.5+15 = 45
45   45*2.0+20=300   300*3.0+30= 
300*3.0+30 = 930
930
Answer: B
A pump can fill a tank with water in 4 hours. Because of a leak, it took 20 hours to fill the tank. The leak can drain all the water of the tank in? Choose the correct choice from the following options.
A) 1 B) 3 C) 5 D) 4 E) 2

Solution: P --> Pump, L ---> Leak   Pipe----------P---------L------------(P-L)--   Time---------4---------x-------------20   *   Rate---------5---------x-------------1   Work-------20---------20-----------20   Time required to empty the tank if leakage present = 20/((5) - 1)   = (20)/(4)= 
(20)/(4) = 5
5   Ans -5
Answer: C
On what sum of money will be difference between the simple interest and compound interest for 2 years at 5% p.a be equal to Rs. 25 Choose the correct choice from the following.
A) Rs.10000	B) Rs. 20000	C) Rs. 22000	D) Rs. 12000	E) Rs. 14000

Solution: p(r/100)^2 =25 p(5/100)^2 =25=Rs.10000 Rs.10000nswer : Rs.10000
Answer: A
A chemist mixes one liter of pure water with x liters of a 40% salt solution, and the resulting mixture is a 20% salt solution. What is the value of x?  Select the correct option.
A) 1/4	B) 1/3	C) 1/2	D) 1	E) 3

Solution: Concentration of salt in pure solution = 0   Concentration of salt in salt solution = 40%   Concentration of salt in the mixed solution = 20%   The pure solution and the salt solution is mixed in the ratio of --> (40 - 20)/(20 - 0) = 1/1   1/x --  (40 - 20)/(20 - 0)= 
--  (40 - 20)/(20 - 0) = 1
1/1   1/x= 1/1= 
1/1 = 1
1   Answer: 1
Answer: D
A boy was asked to find 7/9 of a x. But he divided the x by 7/9, Thus he got 32 more than theanswer. Find the x.	Choose the correct choice from the following answers:  A) 60  B) 61  C) 62  D) 63  E) 65

Solution: x/7/9 = 9x/7 = 32 + y   Actualy he should do 7x/9 = y   y = (9x/7) - 32   y = (9x - 224)/7   (9x - 224)/7 = 7x/9   81x - 2016 = 49x   81x - 49x = 2016   32x = 2016   x = 63   63
Answer: D