MU-NLPC/Calc-aqua_rat huggingface dataset:
A train 132 m long pass a telegraph pole in 6 seconds. Find the speed of the train	Options.
A) 66 km/hr  B) 68.4 km/hr  C) 72 km/hr  D) 79.2 km/hr  E) None

Solution: Sol.   Speed = [132/6] m/sec = [22 * 18/5] km/hr = 79.2 km/hr.   Answer 79.2 km/hr
Answer: D
If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 3 kmph, then the speed of the boat in still water is : Pick
A) 2.5 km/hr	B) 4.2 km/hr	C) 5 km/hr	D) 10.5 km/hr	E) None of these

Solution: Solution   Speed of stream = 1/2 (13-8) km/hr= 2.5kmph . 2.5 km/hrnswer 2.5 km/hr
Answer: A
A man walks at a speed of 3 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running? Options
A) 2 1/7 hours	B) 2 1/2 hours	C) 2 7/2 hours	D) 4 1/2 hours	E) 2 1/5 hours

Solution: Required time = (5 1/4)/3 + (5 1/4)/7   = 2 1/2 hours.   Answer:2 1/2 hours
Answer: B
Consider the sequence of numbers beginning 23, 27, 28, 32, 33... It continues in such a way that by adding 5 to the nth term, one obtains the (n + 2)th term. What is the sum of the first 16 members of this sequence?	Choose the correct choice from the following answers: A) 878 B) 680 C) 788 D) 928 E) 1022

Solution: I would split them up like this.   23 28 33 and so on (8 terms)....the 10th term = 23+7*5= 
23+7*5 = 58
58   27 32 37 and so on (8 terms)......the 9th term= 27+7*5= 
27+7*5 = 62
62   Since the distance between any two numbers is the same we can use arithmetics   first+last/2 times no of numbers= the sum   (23+58)/2 * 8= 
(23+58)/2 * 8 = 324
324   (27+62)/2 * 8= 
(27+62)/2 * 8 = 356
356= 680   680
Answer: B
If a number between 10 and 60 (inclusive) at random. What is the probability that the tens digit is greater than ones digit? Choices:
A) 31/41
B) 1041
C) 14/41
D) 16/51
E) 11/41

Solution: If tens digi is 6 ---> ones digit : 0   If tens digi is 5 ---> ones digit : 0, 1, 2, 3, 4   If tens digi is 4 ---> ones digit : 0, 1, 2, 3   If tens digi is 3 ---> ones digit : 0, 1, 2   If tens digi is 2 ---> ones digit : 0, 1   If tens digi is 1 ---> ones digit : 0   So the number of numbers whose tens digit is greater than ones digit is 11.   The total number is   60-10+1= 
  60-10+1 = 51
51.   So the probability is 16/51. The answer is (16/51).
Answer: D
When x is divided by y, the quotient is s with remainder r. Which of the following is y in terms of r, x, and s? (Assume both y and s are nonzero.)  Choose the correct choice from the following answers:
A) x – r –s B) (x+r)/s C) x/s−r D) (x−r)/s E) xr – s

Solution: Given that when x is divided y, the quotient is s and remainder is r. This implies x-r is divisible by y and ys=(x-r) or y = (x-r)/s.   Answer (x−r)/s.
Answer: D
The original price of a camera was displayed as a whole dollar amount. After adding sales tax of 10 percent, the final price was also a whole dollar amount. Which of the following could be the final price of the camera?  Choose the most appropriate option:	A) $207	B) $209	C) $211	D) $213	E) $215

Solution: let original price be 100   Price after sales tax will be 110   Thus whatever be the final amount it will be divisible by 11   check the options , only 209 is divisible by 11 without leaving any remainder , hence this is our answer !!   ANSWER:$209
Answer: B
Given that a “12-inch pizza” means circular pizza with a diameter of 12 inches, changing from an 4-inch pizza to a 12-inch pizza gives you approximately what percent increase in the total amount of pizza? Options
A) 330	B) 500	C) 670	D) 800	E) 125

Solution: area of 4 inch pizza= 2*2*pi=4 pi   area of 12 inch pizza =6*6*pi=36 pi   32/4*100= 
32/4*100 = 800
800% increase   hence answer is 800
Answer: D
A clock loses a minute every three hours for 4 days and gains 1% in the subsequent 6 days. If it was set right on Friday at 10 AM, what will be the time at the end of 10 days? Answers:
A) 10:54:24 AM
B) 10:56:24 AM
C) 11:16:40 AM
D) 10:54:40 AM
E) 11:06:36 AM

Solution: Loses 8 minutes each day.   so total loss = 4×8 = 32min   subsequent 6 days = 6×24×60 minutes   1% gain = ( 6×24×60)/100 = 86.4 minutes   so, total gain = 86.4 - 32= 
86.4 - 32 = 54.4
54.4 min= 54 + 0.4 min = 54 minutes + 0.4 × 60 seconds = 54min + 24seconds   10 days later the clock should be 54 min and 24seconds fast.   so time , 10:54:24 am (10:54:24 AMnswer 10:54:24 AM)
Answer: A
A train 125 m long passes a man, running at 3 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Choose one
A) 65 km/hr	B) 17 km/hr	C) 76 km/hr	D) 50 km/hr	E) 48 km/hr

Solution: Speed of the train relative to man = 125/10 = 25/2 m/sec.   = 25/2 * 18/5= 
25/2 * 18/5 = 45
45 km/hr   Let the speed of the train be x km/hr. Then, relative speed= (x - 3) km/hr.   x - 3 = 45 => x = 48 km/hr.   Answer: 48 km/hr
Answer: E
Let a, b, c be distinct digits. Consider a two-digit number ‘ab’ and a three-digit number ‘ccb’, both defined under the usual decimal number system, if (ab)2= ccb > 300, then the value of b is
Select:
A) 1  B) 0  C) 5  D) 6  E) 7

Solution: Explanation :   Given , (ab)2 = ccb.   [ Only 1 , 5 and 6 on squaring will result with same digits in units place. ]   Taking a =2, b =1,   => (21)^2 = 441 > 300.   Hence, the required value of b = 1   1nswer : 1
Answer: A
Can you find the missing number in the sequence given below?
10 17 24 11 18 ? 12 19 26 13 20 27
Choose the correct answer
A) 25  B) 23  C) 20  D) 18  E) 19

Solution: Let's break the given series as below:   10 17 24   11 18 ?   12 19 26   13 20 27   Now read the number from left hand side from top to bottom as :   So the number that will replace '?' is 25   25nswer : 25
Answer: A
A fort of 2000 soldiers has provisions for 50 days. After 10 days some of them left and the food was now enough for the same period of 50 days as before. How many of them left?
Choose the correct choice from the following
A) 400
B) 288
C) 266
D) 121
E) 158

Solution: 2000 ---- 50   2000 ---- 40   x ----- 50   x*50 = 2000*40   x=1600   2000   -------   400   400nswer: 400
Answer: A
In how many different ways can 4 physics, 2 math, and 4 chemistry books be arranged in a row so that all books of the same subject are together?  Choose the correct option
A) 5842	B) 6912	C) 7782	D) 8132	E) 9452

Solution: Let's think of each subject as a group so there are 3 groups.   The number of ways to arrange these 3 groups is 3!   Within each subject the books can be re-arranged.   So we need to multiply 3! by 4!*2!*4! which is 3!*4!*2!*4! = 6912   The answer is 6912.
Answer: B
How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?	Choose the correct choice.
A) 25
B) 30
C) 40
D) 45
E) 35

Solution: Speed of the train relative to man	= (63 - 3) km/hr   = 60 km/hr   =(60 x(5/18))	m/sec   =50/3 m/sec.   Therefore Time taken to pass the man   =(500 x(3/50))sec   = 30 sec.   Answer :30
Answer: B
A tin is full of wine. Out of this tin, 4 gallons of wine are taken out and 4 gallons of water are added. After this 4 gallons of mixture were taken out and again 4 gallons of water were added. Now the ratio of wine and water in the tin becomes 36:13. Find the volume of tin.
Select the correct option:
A) 25	B) 26	C) 27	D) 28	E) 29

Solution: We know wine/water = 36/13, therefore wine to total is 36/(36+13) or 36/49.   Out of the Total amount has been taken 4 gallons of wine, so the ratio of wine to total is (T-4)/T. The wine has been taken out twice, therefore, we put the ratio on a power of two and we make the following equation.   36/49 = ((T - 4)/T)^2   36 and 49 are both powers, so we can square the whole equation reaching the single equation of 6/7 = (T - 4)/T, solving it T=28.   ANSWER:28
Answer: D
The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:  Choose the correct choice from the following answers.
A) 3500
B) 4000
C) 4050
D) 5000
E) 5050

Solution: Let P, Q and R represent their respective monthly incomes. Then, we have:   P + Q = (5050 x 2) = 10100 .... (i)   Q + R = (6250 x 2) = 12500 .... (ii)   P + R = (5200 x 2) = 10400 .... (iii)   Adding (i), (ii) and (iii), we get: 2(P + Q + R) = 33000 or P + Q + R = 16500 .... (iv)   Subtracting (ii) from (iv), we get P = 4000.   P's monthly income = Rs. 4000.   Answer: Option 4000
Answer: B
A jar of 220 marbles is divided equally among a group of marble-players today. If 2 people joined the group in the future, each person would receive 1 marble less. How many people are there in the group today?  Choose the correct choice from the following choices:
A) 20  B) 21  C) 22  D) 23  E) 24

Solution: 220 = 20*11 = 22*10   There are 20 people in the group today.   The answer is 20.
Answer: A
How long does a train 110 meters long running at the speed of 72 km/hour take to cross a bridge 132 meters in length ?  Select the correct option
A) 22.1 seconds B) 12.1 seconds C) 17.1 seconds D) 12.9 seconds E) 11.1 seconds

Solution: Speed = 72 km/hour = 72*(5/18) m/sec   = 20 m/sec   Total distance to be covered = 110+132 = 142 meters   Time = Distance/Speed   = 242/20= 
242/20 = 121/10 = around 12.1
12.1 seconds   Answer: 12.1 seconds
Answer: B
The time it took car P to travel 800 miles was 2 hours less than the time it took car R to travel the same distance. If car P’s average speed was 10 miles per hour greater than that of car R, what was car R’s average speed, in miles per hour? Choose the correct choice from the following options.
A) 43 B) 58 C) 60 D) 70 E) 80

Solution: Let speed of car R be=x   Then speed of car P= x+10   A/Q,   (800/x)-(800/(x+10))=2   Solving for x=58 miles\hr.   58
Answer: B
The total cars in a Garage is 1000 out of which 500 are made by Honda. Out of every 100 Honda cars, 90 are red in color, but only 50% of the total cars is red. Find the % of non-Honda cars that are red
Options:  A) 10%  B) 20%  C) 30%  D) 25%  E) 15%

Solution: Total Honda brand red cars = 90/100 *500= 
90/100 *500 = 450
450   Total red cars= 50/100*1000= 
50/100*1000 = 500
500   No. of Non-Honda cars= 1000-500= 
1000-500 = 500
500   No. of Non-Honda red cars= 500 - 450= 
500 - 450 = 50
50   % of Non-Honda red cars= 50/500*100= 
50/500*100 = 10
10%   10%nswer : 10%
Answer: A
By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent?	Choose the correct answer.
A) 15%
B) 25%
C) 115%
D) 75%
E) 55%

Solution: Explanation:   SP = CP + g   150 SP = 150 CP + 30 SP   120 SP = 150 CP   120 --- 30 CP   100 --- ? => 25%   Answer: 25%
Answer: B
How long will it take a sum of money invested at 5% p.a. S.I. to increase its value by 100%?	Choose the correct choice
A) 15 years  B) 16 years  C) 25 years  D) 20 years  E) 18 years

Solution: Sol.   Let the sum be x. Then, S.I. = 100% of x = x; Rate = 5%.   âˆ´ Time = [100 * 2x/5 * 1/x*5] = 20 years.   Answer: 20 years
Answer: D
Of the three-digit integers greater than 400, how many have two digits that are equal to each other and the remaining digit different from the other two?	Choose the correct choice.
A) 90  B) 82  C) 80  D) 45  E) 36

Solution: To satify the given condition,   required no. of cases = total numbers - numbers with all digits different - numbers when all three digits are same,   number greater than 700;   total numbers = 1*10*10= 
1*10*10 = 100
100   numbers with all digits different= 1*9*8= 
1*9*8 = 72
72   numbers when all three digits are same (777)= 1   req. = 100- 72 - 1= 
100- 72 - 1 = 27
27   considering the numbers between 700999= 27*3=37   Answer is 36('cause 700 can't be included)   Answer (36).
Answer: E
A worker's daily wage is increased by 50% and the new wage is $42 per day. What was the worker's daily wage before the increase?  Choose the correct choice from the following answers: A) $22 B) $24 C) $28 D) $32 E) $36

Solution: Let x be the daily wage before the increase.   1.5x = $42   x = $28   The answer is $28.
Answer: C
Walking 7/6 of his usual rate, a boy reaches his school 4 min early. Find his usual time to reach the school? Choose the correct choice from the following choices
A) 26 min  B) 22 min  C) 21 min  D) 20 min  E) 28 min

Solution: 28 min   28 m   Speed Ratio = 1:7/6 = 6:7   Time Ratio = 7:6   1 -------- 7   4 --------- ? 28 min
Answer: E
In a partnership for a business, Jay invests Rs.6000 for complete year & Viru invests Rs.3000 for 6 months. What is Viru’s share if they earn Rs.240 as profit?
Choose one:	A) 120	B) 80	C) 192	D) 48	E) 56

Solution: Explanation:   If A invests amount C1 for T1 time and his share of profit is P1, and B invests amount C2 for T2 time and his share of profit is P2, then, C1 * T1 / C2 * T2 = P1/P2   If P is the Viru’s share of profit, then Jay gets (240 – P)   Therefore, 6000 * 12 / 3000 * 6 = (240 - P) / P = 72/ 18= 
72/ 18 = 4
4   4P= (240 – P)   5P = 240   P = 48   ANSWER 48
Answer: D
The smallest 6 digit number exactly divisible by 111 is?  Choose the correct option.
A) 100009  B) 100010  C) 100011  D) 100015  E) 100017

Solution: The smallest 6-digit number 100000.   111) 100000 (900   999   -----   100   ---   Required number = 100000 + (111 - 100)= 
100000 + (111 - 100) = 100_011
100011   Option 100011
Answer: C
Two same class students appeared at an examination. One of them secured 9 marks more than the other and her marks was 56% of the sum of their marks. What are the marks obtained by them? Options.
A) 45,30
B) 42,33
C) 50,40
D) 55,45
E) 30,40

Solution: the marks secured by x => (x + 9)   Then sum of their = x + (x + 9) = 2x + 9   that (x + 9) was 56% of the sum of marks   =>(x+9) = 56/100(2x+9)   =>(x+9) = 14/25(2x+9)   => 25x + 225 = 28x + 126   => x = 33   => (x + 9) = 33 + 9= 
33 + 9 = 42
42   ->marks are 33 and 42   ANSWER 42,33
Answer: B
In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?  Pick one: A) 7 sec B) 8 sec C) 2 sec D) 6 sec E) 9 sec

Solution: T = 60/36 * 18/5= 
60/36 * 18/5 = 6
6 sec   Answer:6 sec
Answer: D
What is the different between the place value and face value of 6 in the numeral 5468?
Choose one
A) 45 B) 54 C) 60 D) 36 E) 44

Solution: place value of 6 = 6 * 10= 
6 * 10 = 60
60   face value of 6= 6   60 - 6= 
60 - 6 = 54
54   Answer is 54
Answer: B
The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)?
Choose the correct choice from the following options
A) 23.52 cm B) 23.87 cm C) 23.37 cm D) 22.57 cm E) 23.57 cm

Solution: Let the side of the square be a cm.   Parameter of the rectangle = 2(16 + 14) = 60 cm Parameter of the square = 60 cm   i.e. 4a = 60   A = 15   Diameter of the semicircle = 15 cm   Circimference of the semicircle   = 1/2(∏)(15)   = 1/2(22/7)(15) = 330/14 = 23.57 cm to two decimal places   Answer:23.57 cm
Answer: E
What is the difference between the place value of 2 in the numeral 7229?
Choose the correct option
A) 150
B) 160
C) 180
D) 190
E) 200

Solution: Option '180'    200 - 20= 
 200 - 20 = 180
180
Answer: C
A certain list consists of 21 different numbers. If n is in the list and n is 8 times the average (arithmetic mean) of the other 20 numbers in the list, then n is what fraction of the sum of the 21 numbers in the list?
Pick
A) 1/20	B) 1/6	C) 2/7	D) 4/21	E) 5/21

Solution: series : a1, a2....a20,n   sum of a1+a2+...+a20 = 20*x (x = average)   so, n = 8*x   Hence, a1+a2+..+a20+n = 28x   So, the fraction asked = 8x/28x = 2/7   2/7
Answer: C
What is the area of a square field whose sides have a length of 16 meters?	Choices.
A) 225 sq m	B) 286 sq m	C) 298 sq m	D) 256 sq m	E) 231 sq m

Solution: 16 * 16= 
16 * 16 = 256
256 sq m   The answer is 256 sq m.
Answer: D
Express a speed of 56 kmph in meters per second?
Choose the correct answer.
A) 10.2 mps
B) 05 mps
C) 09.1 mps
D) 12 mps
E) 15.5 mps

Solution: 15.5 mps   15.5 mps   56 * 5/18 = 15.5 mps
Answer: E
The ratio of ages of A and B 1 year ago was 3:4.After 1 year it will be 5:6.what is the present age of A.	Choose the correct choice from the following answers.
A) 1	B) 2	C) 3	D) 4	E) 5

Solution: Solution:Let x be the age of A and y be the age of B   hen ratio of their ages one year ago (x-1):(y-1)=3:4   =>(x-1)/(y-1)=3/4............(1)   Ratio of their ages after one year (x+1):(y+1)=5:6   =>(x+1)/(y+1)=5/6..........(2)   Solving (1) and (2)   (1)=>4(x-1)=3(y-1)   =>4x-4=3y-3   =>4x-3y=1.......................(3)   (2)=>6(x+1)=5(y+1)   =>6x-5y=-1......................(4)   3*(3) - 2*(4)   12x - 9y=3 -   12x - 10y12  - 9= 
12  - 9 = 3
3 -   12x - 10y=-2   ___________   y = 5   ___________   (3)=>4x-15=1   =>4x=16   =>x=16/4= 
16/4 = 4
4   Answer 4
Answer: D
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?	Choose the correct choice.
A) 1/2	B) 2/5	C) 8/15	D) 9/20	E) 20/9

Solution: Here, S = {1, 2, 3, 4, ...., 19, 20}.   Let E = event of getting a multiple of 3 or 5 = {3, 6 , 9, 12, 15, 18, 5, 10, 20}.   P(20/9) =	n(20/9)/n(S)=9/20	.
Answer: E
In an examination, 20% of total students failed in Hindi, 70% failed in English and 10% in both. The percentage of these who passed in both the subjects is :	Choices.
A) 10%	B) 20%	C) 30%	D) 40%	E) 50%

Solution: pass percentage = 100 - (20+70-10) = 100-80= 
100-80 = 20
20   ANSWER:20%
Answer: B
A can do a job in 9 days and B can do it in 27 days. A and B working together will finish twice the amount of work in ------- days? Choose the most appropriate option.
A) 22 days  B) 18 days  C) 22 6/2 days  D) 27 days  E) 9 days

Solution: 1/9 + 1/27= 3/27 = 1/9   9/1= 
9/1 = 9
9*2= 
9*2 = 18
18 days   Answer: 18 days
Answer: B
A ladies hostel had provision of food for 300 women for 45 days. After 10 days, 25 women left the hostel. The number of days for which the remaining food will last is:	Pick one
A) 38.89
B) 39.18
C) 38.78
D) 38.0
E) 38.18

Solution: Explanation :   After 10 days : 300 women had food for 35 days.   Suppose 275 women had food for x days.   Now, Less women, More days (Indirect Proportion)   275 : 300 :: 35 : x   => 275 x x = 300 x 35   => x = 300 x 35 / 275   => x = 38.18   Answer : 38.18
Answer: E
If the number 992,132,24x is divisible by 11, what must be the value of x?	Answers.
A) 1
B) 2
C) 3
D) 4
E) 0

Solution: Multiplication rule of 11: (Sum of digits at odd places - Sum of digits at even places) should be divisible by 11   Given number: 992,132,24x   Sum of digits at odd places = 9 + 2 + 3 + 2 + x = 16 + x (i)   Sum of digits at even places = 9 + 1 + 2 + 4= 
9 + 1 + 2 + 4 = 16
16 (ii)   (i) - (ii)= 16 + x - 16 = x - 0= 
- 0 = 0
0 to make this a multiple of 11 (0) Option 0
Answer: E
The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?	Choose the correct option:	A) 11	B) 77	C) 16	D) 12	E) 10

Solution: Speed of the boat downstream = 15 + 3= 
15 + 3 = 18
18 kmph= 18 * 5/18= 
18 * 5/18 = 5
5 m/s   Hence time taken to cover 60 m= 60/5= 
60/5 = 12
12 seconds.Answer: 12
Answer: D
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one? Pick one: A) 22 B) 28 C) 48 D) 277 E) 12

Solution: Relative speed = 45 + 30= 
45 + 30 = 75
75 km/hr.   75 * 5/18= 125/6 m/sec.   Distance covered = 500 + 500= 
500 + 500 = 1_000
1000 m.   Required time= 1000 * 6/125= 
1000 * 6/125 = 48
48 sec.Answer:48
Answer: C
If the length of a rectangle is halved and its breadth is tripled, what is the percentage change in its area?	Choose the correct choice from the following choices.
A) 25% increase  B) 25% decrease  C) 50% increase  D) 50% decrease  E) None

Solution: Explanation:   Length is halved.   i.e., length is decreased by 50%50%   Breadth is tripled   i.e., breadth is increased by 200%200%   Change in area   =(−50+200−50×200/100)%=50%   i.e., area is increased by 50%   Answer: Option 50% decrease
Answer: D
Frank is 12 years younger then John. In 5 years John will be twice as old as Frank. How old will Frank be in four years?
Choose the correct choice from the following answers
A) 8 B) 11 C) 12 D) 14 E) 16

Solution: Frank is 15 years younger then John --> F+12=J;   In 5 years John will be twice as old as Frank (in 5 year John will be J+5 years old and Frank will be F+5 years old) --> J+5=2*(F+5) --> (F+12)+5=2*(F+5) --> F=7;   In 4 years Frank will be 7+4= 
7+4 = 11
11 years old.   Answer: 11.
Answer: B
How many such 3's are there in the following number sequence which are immediately Preceded by an odd number and immediately followed by an even number ? 5 3 8 9 4 3 7 2 3 8 1 3 8 4 2 3 5 7 3 4 2 3 6 Choose the most appropriate option
A) 1  B) 2  C) 3 three  D) 4  E) More than four

Solution: A is followed by B means : A comes first,B comes next   A preceded by B means : B comes first, A comes next   The sets which satisfy the condition is: 5 3 8   1 3 8   7 3 4   ANSWER:3 three
Answer: C
Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:
Choose the correct choice from the following answers: A) 9 B) 11 C) 13 D) 15 E) 17

Solution: Let the three integers be x, x + 2 and x+ 4.   Then,   3x = 2(x + 4) + 3   x = 11   Third integer = x + 4 = 15.   ANSWER:15
Answer: D
By investing in 1623% stock at 64, one earns Rs. 1700. The investment made is
Choose the correct option
A) s. 9600 B) s. 7500 C) s. 5640 D) s. 6528 E) s. 6760

Solution: Explanation :   Market Value = Rs.64   Face Value is not given and hence take it as Rs.100   16 2/3% of the face value = 50/3   ie, to earn 50/3, investment = Rs.64   Hence, to earn Rs.1700, investment needed = 64×3×1700/50= 6528   Answer : Option s. 6528
Answer: D
At a circular table for eight will sit six adults and two small children. The two children will sit next to each other, and the two parents of the children will sit next to the children so that there is one parent on each side of the two children. If rotating their positions around the table is not considered changing the arrangement, in how many different ways can the eight people be arranged around the table. Select the correct option:	A) 24	B) 96	C) 1440	D) 5040	E) 4032

Solution: Lets consider P|C|C|P as one unit.   Number of people sitting in the circular table = 4 + 1= 
4 + 1 = 5
5   Number of ways of arranging the above 5 units seated in the circular table= (5 - 1)= 
(5 - 1) = 4
4!= 24   But children can interchange the positions between them in 2 ways and the parents can interchange their positions in 2 ways.   Total number of ways = 24 * 2 * 2= 
24 * 2 * 2 = 96
96   Answer: 96
Answer: B
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:  Choose the correct choice from the following answers.
A) 650	B) 690	C) 698	D) 700	E) 720

Solution: S.I. for 1 year = Rs. (854 - 815) = Rs. 39.   S.I. for 3 years = Rs.(39 x 3) = Rs. 117.   Principal = Rs. (815 - 117) = Rs. 698 Answer: 698
Answer: C
Robert ate 12 chocolates, Nickel ate 3 chocolates. How many more chocolates did Robert ate than nickel?	Select.
A) A)4
B) B)7
C) C)9
D) D)5
E) E)2

Solution: 12-3= 
12-3 = 9
9. Answer is 9
Answer: C
One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,00,000 as total savings, how much has he saved in Public Provident Fund ?  Select:
A) 80000	B) 40000	C) 50000	D) 75000	E) 90000

Solution: Let savings in N.S.C and P.P.F. be Rs. x and Rs. (100000 - x) respectively. Then,   =1/3 x = 1/2 (100000 - x)   =x/3 + x/2 = 50000   =5x/6 = 50000   =x = 50000 x 6 /5	= 60000   Savings in Public Provident Fund = Rs. (100000 - 60000) = Rs. 40000   Answer is 40000.
Answer: B