MU-NLPC/Calc-aqua_rat huggingface dataset:
Akshay buys a motorcycle for Rs.25000. If he decides to sell the motorcycle for a profit of 7%, find the selling price.  Choose the correct choice from the following choices:
A) 26750
B) 26759
C) 26757
D) 26756
E) 26753

Solution: Explanation:   Profit = %profit/100 * cost price   P = 7/100 * 25000= 
7/100 * 25000 = 1_750
1750.   Selling price= cost price + profit   = 25000 + 1750   = Rs.26750   26750NSWER:26750
Answer: A
If 9 engines consume 24 metric tonnes of coal, when each is working 8 hours
day, how much coal will be required for 8 engines, each running 13hours a day, it being given that 3 engines of former type consume as much as 4 engines of latter type?	Choose the most appropriate option
A) 23 metric tonnes B) 24 metric tonnes C) 25 metric tonnes D) 26 metric tonnes E) 27 metric tonnes

Solution: We shall compare each item with the quantity of coal.   Less engines, less coal consumed (direct)   More working hours, more coal consumed (direct)   If 3 engines of former type consume 1 unit, then 1 engine will consume 1/3 unit.   If 4 engines of latter type consume 1 unit, then 1 engine will consume 1/4 unit.   Less rate of consumption, less coal consumed (direct).   Therefore, number of engines 9:8 :: 24:x   Working hours 8:13 :: 24:x   Rate of consumption 1/3:1/4 :: 24:x.   9*8*1/3*x= 8*13*1/4*24 or x= 26.   Therefore, required consumption of coal 26 metric tonnes.   ANSWER:26 metric tonnes
Answer: D
There are two pipes A and B.If A filled 10 liters in hour B can fills 20 liters in same time.likewise B can fill 10,20,40,80,160.... if B filled in (1/16)th of a tank in 3 hours.how much time will it take to fill completely?  Choose the correct option:
A) 7 hours B) 6 hours C) 5 hours D) 8 hours E) 9 hours

Solution: 1/16 in 3 hours   1/8 in 4 hours,as here rate of water filling is doubled   1/4 in 5 hours   1/2 in 6 hours   1 in 7 hours   ans will be 7 hours   7 hoursNSWER:7 hours
Answer: A
A runs 5/3 times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?
Choose the correct choice from the following answers
A) 200 m  B) 300 m  C) 270 m  D) 160 m  E) 360 m

Solution: Ratio of the speeds of A and B =	5	: 1 = 5 : 3.   3   Thus, in race of 5 m, A gains 2 m over B.   2 m are gained by A in a race of 5 m.   80 m will be gained by A in race of	5	x 80	m	= 200 m.   2   Winning post is 200 m away from the starting point.   200 mNSWER:200 m
Answer: A
A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is:  Choose the correct choice from the following answers
A) 12 B) 66 C) 73 D) 72 E) 8

Solution: 12nswer: 12) 12 pi cub.cm
Answer: A
g, b, c, and d are positive integers. If the remainder is 9 when g is divided by b, and the remainder is 5 when c is divided by d, which of the following is NOT a possible value for b + d?
Choose the correct choice:	A) 20	B) 19	C) 18	D) 16	E) 15

Solution: When g is divided by b remainder is 9 that means b is greater than or equals to 10, similarly d is greater than or equals to 6.   b + d cannot be 15, hence 15 is the answer.
Answer: E
A and B are two partially filled buckets of water. If 3 liters are transferred from A to B, then A would contain one-third of the amount of water in B. Alternatively, if 5 liters are transferred from B to A, B would contain one-half of the amount of water in A. Bucket A contains how many liters of water?  Choose the correct choice:
A) 11
B) 13
C) 39/5
D) 21
E) 23

Solution: Let A contains A, B contains B liters   so, (A-3)/(B+3)= 1/3.......(1)   again, (B-5)/(A+5)= 1/2..........(2)   from (1)(2) we find A= 39/5   ans: (39/5)
Answer: C
It takes printer A 4 more minutes than printer B to print 40 pages. Working together, the two printers can print 50 pages in 6 minutes. How long will it take printer A to print 80 pages? Choose the correct choice from the following
A) 12  B) 18  C) 20  D) 24  E) 30

Solution: We need time taken by printer A to print 80 pages. (Let's say this is 'a' mins)   We know A takes 4 more mins for 40 pages so it will take 8 more minutes for 80 pages.   Together, they print 50 pages in 6 mins so they will print 80 pages in 6*50/80 = 48/5 mins   Now, make your sum of rates equation:   1/a + 1/(a - 8) = 5/48   Now look at the options and substitute here. First check out the straight forward options.   Say, a = 12   1/12 + 1/4 = 4/12 Nope   I will not try 18 and 20 because (18, 10) and (20, 12) doesn't give me 48, the denominator on right hand side.   I will try 24 instead.   1/24 + 1/16 = 5/48 Yes.   Answer is 24.   ANSWER:24
Answer: D
How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 136 m length?
Choose the correct choice from the following answers:
A) 82.1 sec.
B) 12.3 sec
C) 19.1 sec.
D) 17.1 sec.
E) 42.1 sec.

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec   Total distance covered= 110 + 136= 
110 + 136 = 246
246 m.   Required time= 246/20= 
246/20 = 123/10 = around 12.3
12.3 sec.   Answer: 12.3 sec
Answer: B
The T train leaves station A moving at a constant speed, and passes by stations B and C, in this order. It takes the T train 7 hours to reach station B, and 5 additional hours to reach station C. The distance between stations A and B is m kilometers longer than the distance between stations B and C. What is the distance between stations A and C in terms of m?
Choose one:
A) 1.8m
B) 6m
C) 7m
D) 9m
E) 12m

Solution: The reason it is failing for you is that you chose incorrect numbers. If the question says T it took 7 hrs to reach from A to B and 5 hrs to reach from B to C at a constant speed. It shows that distance AB and BC should be in ratio of 7/5.   If you take such numbers you can solve problem.   A6m = 7, 6mC=5   Therefore   A6m-6mC = 2   6mut from question, A6m-6mC =m   => m=2   Now total distance = A6m+6mC= 12   Substitute 12 to get answer in terms of m   Total distance 6 +6= 
6 +6 = 12
12   Substitute 12 to get answer in terms of m   Total distance=12 =6m   Ans 6m
Answer: B
A and B can do a piece of work in 12 days and 16 days respectively. Both work for 3 days and then A goes away. Find how long will B take to complete the remaining work?  Choose the correct option:
A) 10 days
B) 17 days
C) 147 days
D) 9 days
E) 1478 days

Solution: 3/12 + (3 + x)/16 = 1   x = 9 days   Answer: 9 days
Answer: D
A bookshop had science and art books in the ratio of 2:5. By the end of the week, 20% of both type of books were sold and 2240 books were unsold. How many art books were there at the starting?  Choose the correct choice from the following options:
A) 1000	B) 1200	C) 1500	D) 1600	E) 2000

Solution: science books sold = 2x × 0.2 = 0.4x   science books unsold = 2x – 0.4x = 1.6x   art books sold = 5x × 0.2 = x   art books unsold = 5x – x = 4x   total books unsold = 1.6x + 4x = 5.6x   5.6x 1.6  + 4= 
1.6  + 4 = 5.6
5.6x   5.6x= 2240   x = 400   2x science = 800   and 5x art books = 2000   2000
Answer: E
The ratio of boys to girls is 6:4.60% of the boys and 40% of girls take lunch in the canteen.What % of class takes lunch?	Select the correct option:
A) 51%  B) 52%  C) 53%  D) 54%  E) 55%

Solution: let total no of students 100, boy 60 and girl 40, so lunch taken by boy and girl respectively 60* 60/100= 
60* 60/100 = 36
36 and   40* 40/100= 
  40* 40/100 = 16
16   so total 52 students takes lunch out of 100 students..so required % is 52%   ANSWER:52%
Answer: B
What is the smallest possible common multiple of three integers, all larger than 24? Choose the correct choice from the following answers
A) 27.	B) 54.	C) 25	D) 19,656.	E) 21,924.

Solution: The Least common positive multiple would be for the immediate least number(s) after 24 i.e 25.   Since nowhere is it stated that the three integers must be different, the integers could be 25,25 and 25... leading to least possible positive common multiple to be 25. Answer 25.
Answer: C
An athlete runs 200 meters race in 48sec. His speed is? Pick
A) 20km/hr	B) 15km/hr	C) 30km/hr	D) 25km/hr	E) 40km/hr

Solution: speed = 200/48 = 25/6 m/sec   = 25/6 * 18/5 km/hr = 15km/hr   Answer is 15km/hr
Answer: B
If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is? Choose the correct answer.
A) 338 m
B) 778 m
C) 200 m
D) 276 m
E) 971 m

Solution: 2(l + 100)   = 600 => l   = 200 m   Answer:200 m
Answer: C
The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?	Choose the correct choice from the following
A) 58 B) 56 C) 51 D) 52 E) 59

Solution: 1 to 11 = 11 * 50= 
11 * 50 = 550
550   1 to 6= 6 * 49= 
6 * 49 = 294
294   6 to 11= 6 * 52= 
6 * 52 = 312
312   6th= 294 + 312 – 550   = 56   Answer: 56
Answer: B
In how many different number of ways 6 men and 3 women can sit on a shopa which can accommodate persons?
Choices:
A) 200
B) 230
C) 504
D) 250
E) 260

Solution: 9p3 = 9 Ã— 8 Ã— 7 = 504   504
Answer: C
A train passes a man standing on the platform. If the train is 210 meters long and its speed is 72 kmph, how much time it took in doing so?	Pick:  A) 10 ½ sec  B) 4 ½ sec  C) 9 ½ sec  D) 8 ½ sec  E) 2 ½ sec

Solution: D = 210   S = 72 * 5/18= 
72 * 5/18 = 20
20 mps   T= 210/20 = 10 ½ sec   10 ½ secnswer: 10 ½ sec
Answer: A
A cricketer scored 134 runs which included 12 boundaries and 2 sixes. What percent of his total score did he make by running between the wickets. Choose the correct choice from the following answers
A) 55.22%
B) 54.54 %
C) 63%
D) 70%
E) None of these

Solution: Explanation :   Number of runs made by running = 134 - (12 x 4 + 2 x 6)   = 134 - (60)= 
134 - (60) = 74
74   Now, we need to calculate 72 is what percent of 134.=> 74/134 * 100 = 55.22 %   55.22%nswer : 55.22%
Answer: A
Points A, B, and C lie, in that order, on a straight railroad track. The distance from point A to point B is twice the distance from point B to point C. A train traveled from point A to point C without stopping. The train's average speed when traveling from point A to point B was 200 miles per hour and the train's average speed when traveling from point B to point C was 150 miles per hour. What was the train's average speed, in miles per hour, when traveling from point A to point C? Options
A) 150	B) 200	C) 180	D) 190	E) 250

Solution: Average speed = distance/time   Because we are looking for average speed we can pick a distance for the variable d.   Speed A-B = 200   Speed B-180 = 150   Average Speed = total distance/total rate   rate = distance/time   A====================B==========180   If A-B is twice the length of B-180 then let A-B = 2d and let B-180 = d   Average speed = 3d/(2d/200) + (d/150)   3d/(6d/600) + (4d/600)   3d/(10d/600)   1800d/10d   Average speed = 180   ANSWER: 1801800 /10= 
1800 /10 = 180
180   ANSWER: 180
Answer: C
72,90, 80,85,90,105,105,130,130,130
The list consists of the times in seconds that it took each of the 10 school children to run a distance of 400 mts . If the standard deviation of the 10 running times is 22.4, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times.
Choose the correct choice:
A) 1  B) 2  C) 3  D) 4  E) 5

Solution: How many of the 10 running times are more than one SD below the meanmeans how many data points from given 10 are less thanmean-1SD.   We are given that SD=22.4, so we should find mean --> mean=100 --> there are only 1 data points below  100-22.4= 
 100-22.4 = 77.6
77.6, namely 72 .   1nswer: 1.
Answer: A
In a 300 m race A beats B by 22.5 m or 6 seconds. B's time over the course is:  Options: A) 80 sec B) 86 sec C) 76 sec D) 49 sec E) 50 sec

Solution: B runs 300 m in  (6*2/45*300)= 
  (6*2/45*300) = 80
80 sec   80 secNSWER 80 sec
Answer: A
1+2+2^2+2^3+2^4+2^5+2^6=？ Choose the most appropriate option
A) (2^3-1)(2^3+1)	B) 2^6+1	C) 2^7-1	D) 2^5+1	E) 2^5-2

Solution: From 1+2+2^2+2^3+2^4+2^5+2^6=1(2^7-1)/(2-1)=2^7-1, the correct answer is 2^7-1.
Answer: C
There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is? Select:
A) 60	B) 70	C) 80	D) 90	E) 100

Solution: Let the number of students in rooms A and B be x and y respectively.   Then, x - 10 = y + 10 x - y = 20 .... (i)   and x + 20 = 2(y - 20) x - 2y = -60 .... (ii)   Solving (i) and (ii) we get: x = 100 , y = 80.   The required answer A = 100.   100)
Answer: E
Mr. Babu ison tour and he has Rs. 360 for his expenses. If he exceeds his tour by 4 days. he must cut down his daily expenses by Rs. 3.For how many days is Mr. babu on tour? Pick:	A) 20	B) 30	C) 40	D) 90	E) 20

Solution: Suppose Mr. babu is on tour for x days . Then, 360/x-360/x+4   =1/x-1/x+4=1/120   x(x+4)=4x120 ( +4)= 
 ( +4) = 4
4x120=480   (x+24)(x-20)=0   x=20   20NSWER: 20
Answer: A
A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Answers:
A) 615 m
B) 240 m
C) 168 m
D) 197 m
E) 691 m

Solution: Speed = 54 * 5/18= 
54 * 5/18 = 15
15 m/sec.   Length of the train= 15 * 20= 
15 * 20 = 300
300 m.   Let the length of the platform be x m . Then,   (x + 300)/36= 15 => x   = 240 m   Answer: 240 m
Answer: B
Jonah drove the first half of a 200-mile trip in x hours and the second half in y hours. Which of the following is equal to Jonah’s average speed, in miles per hour, for the entire trip?	Choose the correct choice from the following:
A) 100/(x + y)  B) 200/(x + y)  C) 25/x + 25/y  D) 50/x + 50/y  E) 100/x + 100/y

Solution: Time taken by Jonah to cover first half i.e 100 miles of a 200 mile trip = x   time taken by Jonah to cover the second half i.e 100 miles of a 200 mile trip = y   Total time taken by Jonah = x+y   Jonah's average speed for the entire trip =total distance /total time   =200/(x+y)   Answer 200/(x + y)
Answer: B
If the length & width of a rectangle is decreased by 50% & then again increase the new length & width by 40%. Calculate the percentage difference between the area of New Rectangle & Original Rectangle.
Choose the correct choice: A) 50% B) 51% C) 52% D) 53% E) 54%

Solution: let length is l, width is w so area is wl   after decreament l is i/2 ,w is w/2   again inc by 40% so l is 7l/10 ,w is 7w/10 so area is 49wl/100   percentage change is wl-49wl/100=51wl/100   so 51%   ANSWER:51%
Answer: B
40% of a number is more than 20% of 650 by 190. Find the number?
Options.
A) 288  B) 278  C) 800  D) 267  E) 121

Solution: (40/100) * X – (20/100) * 650 = 190   2/5 X = 320   X = 800   Answer:800
Answer: C
Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $360 per week. How much does she earn in dollars per hour? Choose the correct choice from the following answers
A) 2 B) 8 C) 9 D) 10 E) 2

Solution: Explanation:   Total hours worked = 8 x 3 + 6 x 2 = 36   Total earned = 360. Hourly wage = 360 / 36= 
360 / 36 = 10
10   Answer: 10
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
A) 4000 B) 5000 C) 6000 D) 7000 E) None of these

Solution: Explanation:   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.   4000nswer 4000
Answer: A
A shipment of 8 television sets contains 2 black-and-white sets and 5 color sets. If 2 television sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black-and-white set?  Choose the correct choice:
A) 1/7	B) 1/4	C) 9/14	D) 11/28	E) 13/28

Solution: I get 9/14, which is not in the answer choices.   the probability of getting at least one b/w TV is 1-(the probability of getting 2 color TVs)   1-9/14(5,2)/9/14(8/2)=18/28=9/14   9/14
Answer: C
Raj invested an amount of Rs.17400 for two years. Find the rate of compound interest that will fetch him an amount of Rs.1783.50 at the end of two years?
Choose the correct choice from the following answers:	A) 9	B) 8	C) 7	D) 5	E) 3

Solution: Let the rate of interest be R% p.a.   17400[1 + R/100]2 = 17400 + 1783.50   [1 + R/100]2 = (17400 + 1783.50)/17400   = 1 + 1025/10000 = 1 + 41/400   = 441/400 = [21/20]2   [1 + R/100] = 21/20   R/100 = 1/20   Therefore R = 5   Answer:5
Answer: D
In a two digit number, the digit in the units place is six times the digit in ten's place and sum of the digits is equal to 7. What is the number?	Answers:  A) 16  B) 28  C) 32  D) 36  E) 38

Solution: Solution   Let the ten digits be x. Then,units digit=6x   Therefore x + 6x = 7   ‹=›7x = 7   ‹=›x= 1.   So, ten's digit = 1, unit's digit = 6.   Hence, the required number is 16.   16nswer 16
Answer: A
The Pinedale bus line travels at an average speed of 60 km/h, and has stops every 5 minutes along its route. Yahya wants to go from his house to the Pinedale Mall, which is 10 stops away. How far away, in kilometers, is Pinedale Mall away from Yahya's house?	Select.
A) 20 km B) 30 km C) 40 km D) 50 km E) 60 km

Solution: Number of stops in an hour: 60/5= 
60/5 = 12
12   50 kmistance between stops:   60/12= 
  60/12 = 5
5 km   50 kmistance between Yahya's house and Pinedale Mall: 5 x 10= 50 km   IMO, correct answer is "50 km."
Answer: D
On a test consisting of 30 questions. No. of wrong answers is 50% less than number of right answers. Each answer was either right or wrong. What is the ratio of right answers to wrong answers?	Choose the correct choice from the following answers: A) 1 : 3 B) 1 : 5 C) 2 : 1 D) 3 : 1 E) 4 : 5

Solution: Sol. Let the number of wrong answer - x and number of right answer = 30-x x = 50/100 of (30-x) x = 10   Required ratio = 20 : 10 = 2 : 1   2 : 1
Answer: C
If each edge of cube increased by 10%, the percentage increase in	Choose the correct choice from the following choices.
A) 21
B) 22
C) 25
D) 19
E) 15

Solution: 100 × (110)/100 × (110)/100 = 121 => 21%   21nswer is 21.
Answer: A
12, 14, x, 10
The median of the list of positive integers above is 11. Which of the following could be the average (arithmetic mean) of the list?  Choose the correct answer
A) 3 B) 5.5 C) 11 D) 7 E) 7.5

Solution: GivenThe median of the list of positive integers above is 11   So arranging the numbers from lowest to highest, avg of 2 middle terms needs to be 11   so the sequence will be x 10 12 14   Lets say x = 8, which gives us mean = sum/4 = 11   11 is correct
Answer: C
Two cars are 15 kms apart. One is turning at a speed of 50kmph and the other at 40kmph . How much time will it take for the two cars to meet?
Answers:
A) 12min
B) 10min
C) 14min
D) 15min
E) 16min

Solution: if they are moving in same direction then solution will be   (50-40)*t=15   ans=1.5hours   if they are moving in opposite direction then ans   (50+40)*t=15   ans=1/6 hours=10min   ANSWER:10min
Answer: B
When positive integer m is divided by positive integer x, the reminder is 7 and when positive integer n is divided by positive integer y, the reminder is 11. Which of the following W is a possible value for x + y?
I. 18
II. 19
III. 20	Choose the most appropriate option.
A) I only  B) II only  C) W=III only  D) II and III only  E) None

Solution: TIP FOR SUCH QUESTIONS:Make Algebraic Equation in the beginning to understand how to proceed further. Then Start thinking the possible values of variables asked about   i.e.When positive integer m is divided by positive integer x, the reminder is 7can be understood as   m = ax +7which means thevalue of x must be greater than 7as the remainder 7 is possible only when the Divisor is bigger than the Remainder 7   i.e. Min Value of x = 8   AND   i.e.When positive integer n is divided by positive integer y, the reminder is 11can be understood as   n = by +11which means thevalue of y must be greater than 11as the remainder 11 is possible only when the Divisor is bigger than the Remainder 11   i.e. Min Value of y = 12   i.e. Minimum Value of x+y = 8+12= 
8+12 = 20
20   Hence III only can be True   Answer: Option   W=III only
Answer: C
If A : B : C = 2 : 3 : 4, then A⁄B : B⁄C : C⁄A is equal to : Choose one:	A) 4 : 9 : 16	B) 8 : 9 : 12	C) 8 : 9 : 16	D) 8 : 9 : 24	E) None of these

Solution: Let A = 2x, B = 3x and C = 4x. Then,   A⁄B = 2x⁄3x = 2⁄3, B⁄C = 3x⁄4x = 3⁄4 and C⁄A = 4x⁄2x = 2⁄1   ⇒ A⁄B : B⁄C : C⁄A = 2⁄3 : 3⁄4 : 2⁄1 = 8 : 9 : 24   Answer 8 : 9 : 24
Answer: D
Rob has 8 toy trucks. He gives 3 trucks to his best friend as a gift. How many trucks does Rob have left?	Select.
A) 5  B) 20  C) 2  D) 5  E) 8

Solution: A. 5
Answer: A
A car during its journey travels 30 minutes at a speed of 30 kmph, another 30 minutes at a speed of 60 kmph, and 1 hours at a speed of 80 kmph.The average speed of the car is	Options: A) 63.07 kmph B) 64 kmph C) 62.5 kmph D) 64.02 kmph E) None of these

Solution: First car travels 30 min at speed of 30 kmph   distance = 30 x 1/2 = 15 m   Then car travels 30 min at a speed of 60 kmph   distance = 30 min at speed of 60 kmph   distance = 60 x 1/2 = 30 m   at last it travels 1 hours at speed of 80 kmph   distance = 80 x 1 = 80 m   Total distance = 15 + 30 + 80= 
15 + 30 + 80 = 125
125   Total time= 1/2 + 1/2 + 1= 
1/2 + 1/2 + 1 = 2
2   Average speed of the car= 125/2= 
125/2 = 125/2 = around 62.5
62.5   ANSWER:62.5 kmph
Answer: C
The area of a rectangle is equal to the area of right-angles triangle. What is the length of the rectangle?
I.	The base of the triangle is 40 cm.
II.	The height of the triangle is 50 cm. Select.
A) I alone sufficient while II alone not sufficient to answer  B) II alone sufficient while I alone not sufficient to answer  C) Either I or II alone sufficient to answer  D) Both I and II are not sufficient to answer  E) Both I and II are necessary to answer

Solution: EXPLANATION   Given: Area of rectangle = Area of a right-angles triangle.   ⇒l x b =1-div-1/2x B x H   II gives, H = 50 cm.I gives, B = 40 cm.   Thus, to find l, we need b also, which is not given.   Given data is not sufficient to give the answer.   answer is (Both I and II are not sufficient to answer).
Answer: D
Chirag was conducting an experiment in which the average of 11 observation came to be 90. Average of first five observation was 87, and that of the last five was 84. What was the measure of the 6th observation?	Choose the most appropriate option
A) 165 B) 125 C) 145 D) 135 E) None of these

Solution: Explanation :   11 * 90 - 5 * 87 - 5 * 84 = 900 - 435 - 420 = 135.   Answer : 135
Answer: D
During the break of a football match, the coach will make 3 substitutions. If the team consists of 16 players among which there are 2 forwards, what is the probability that none of the forwards will be substituted?	Choose the correct choice from the following choices: A) 21/55 B) 18/44 C) 3/20 D) 28/44 E) 36/55

Solution: Required probability = no. of favorable outcome/ total no. of outcomes   out of 16 players any 3 can be selected in 163/203 ways   after removing 2 forwards any 3 players can be selected from the remaining 9 players in 93/203 ways   thus required probability = 93/203/163/203 =3/20
Answer: C
In a primary school, the ratio of the number of girls to boys is 5 : 8. If there are 160 girls, the total number of students in the college is:  Pick
A) 100	B) 250	C) 260	D) 300	E) 350

Solution: Let the number of girls and boys be 5x and 8x.   Total number of students = 13x = 13 x 32 = 416.   Answer : 300
Answer: D
A box contains seven bulbs out of which 5 are defective. If five bulbs are chosen at random, find the probability that all the five bulbs are defective?	Choices
A) 1/12
B) 1/21
C) 1/19
D) 1/13
E) 1/16

Solution: Out of seven, two are good and five are defective. Required probability   = 5C5/7C5   = 1/21   Answer:1/21
Answer: B