MU-NLPC/Calc-aqua_rat huggingface dataset:
Find the value of x from the below equation: x^2−7x+10=0  Pick one:
A) 5 or 2
B) 3 or 5
C) 3 or 7
D) 4 or 6
E) None

Solution: Here we need to find out a and b such that a + b = -7 and ab = +10   a = -5 and b = -2 satisfies the above condition.   Hence   x^2−7x+10=(x−5)(x−2)   x2−7x+10=(x−5)(x−2)   x^2−7x+10   =0   ⇒(x−5)(x−2)   =0   x2−7x+10=0⇒(x−5)(x−2)=0   Step 3: Equate each factor to 0 and solve the equations   (x−5)(x−2)   =0   ⇒(x−5)   =0or (x−2)=0   ⇒x= 5 or 2   5 or 2
Answer: A
Vishal invested 10% more than Trishul. Trishul invested 10% less than Raghu. If the total sum of their investments is Rs. 7225, how much amount did Raghu invest ?
Choose the most appropriate option
A) 1287
B) 2887
C) 2500
D) 1129
E) 1192

Solution: Let money invested by Raghu = Rs. x   Money invested by Trishul = 9/10= 
9/10 = 9/10 = around 0.9
0.9x   Money invested by Vishal= 9/10x * 110/100 = 0.99x   Also, x+0.9x+0.99x 9/10  * 110/100= 
9/10  * 110/100 = 99/100 = around 0.99
0.99x   Also, x+0.9x+0.99x= 7225   = x= 7225/2.89= 
7225/2.89 = 2_500
2500   Therefore, amount invested by Raghu is Rs. 2500.   Answer: 2500
Answer: C
In how many ways can the letters of the word RAVED be arranged in a row so that the vowels appear in alphabetic order?	Options.
A) 60	B) 30	C) 90	D) 120	E) 180

Solution: Two letters can be arranged in 2! ways.   only one combination EIU is required.   5 letters can be arranged in 5! ways.   thus 5!/ 2! * 1 = 60.   60
Answer: A
If a man lost 4% by selling oranges at the rate of 72 a rupee at how many a rupee must he sell them to gain 44%?  Answers
A) 41
B) 48
C) 49
D) 44
E) 43

Solution: 96% ---- 72   144% ---- ?     96/144 * 72= 
  96/144 * 72 = 48
48   Answer: 48
Answer: B
In a meeting of 3 representatives from each of 5 different companies, each person shook hands with every person not from his or her own company. If the representatives did not shake hands with people from their own company, how many handshakes took place?	Choose the correct choice from the following answers
A) 125  B) 120  C) 110  D) 90  E) 100

Solution: In fact, all 15 people will shake hands with 12 others.   So, it SEEMS like the TOTAL number of handshakes = (15)(12)   HOWEVER, we need to keep in mind that we have counted each handshake TWICE.   To account for this DUPLICATION, we must divide (15)(12) by 2.   So, the TOTAL # of handshakes = (15)(12)/2 = 90   Answer : 90
Answer: D
Twelve men and six women together can complete a piece of work in four days. The work done by a women in one day is half the work done by a man in one day. If 12 men and six women started working and after two days, six men left and six women joined, then in hoe many more days will the work be completed? Choose the correct option
A) 1 (1/2) days	B) 5 (1/2) days	C) 3 (1/2) days	D) 7 (1/2) days	E) 2 (1/2) days

Solution: E   2 (1/2) days   Work done by a women in one day = 1/2 (work done by a man/day)   One women's capacity = 1/2(one man's capacity)   One man = 2 women.   12 men = 24 women.   12 men + 6 women = 30 women   30 women can complete the work in four days. In the first 2 days they can complete 1/2 of the work. Remaining part of the work = 1/2. If 6 men leave and 6 new women join, then new work force = 30 women - 12 women + 6 women = 24 women.   Time taken by them to complete the remaining work = 1/2 (Time taken by 24 women to complete the work) = 1/2 * (30 * 4)/24 = 2 (1/2) days.
Answer: E
. A car covers a distance of 1028 km in 4 hours. Find its speed?  Options.
A) 104
B) 255
C) 266
D) 257
E) 276

Solution: 1028/4= 
1028/4 = 257
257 kmph   Answer: 257
Answer: D
At the end of the day, February 14th, a florist had 90 roses left in his shop, all of which were red, white or pink in color and either long or short-stemmed. A third of the roses were short-stemmed, 15 of which were white and 10 of which were pink. The percentage of pink roses that were short-stemmed equaled the percentage of red roses that were short-stemmed. If none of the long-stemmed roses were white, what percentage of the long-stemmed roses were red?  Pick one
A) 20%	B) 75%	C) 50%	D) 33.3%	E) 80%

Solution: R + W + P = 90   S + L = 90   1/3 * 90= 
1/3 * 90 = 30
30   Short-Stemmed White= 15   Short-Stemmed Pink = 10   => Short-Stemmed Red = 5   10/P = 5/R   => R = P/2 , P=2R   So Total Long Stemmed = 60   And Long Stemmed Red + Long Stemmed Pink = 60   So Long Stemmed Red/Long Stemmed = ?   Total White = 15 (As no Long stemmed white)   => R + 2R + 15 = 90   => 3R = 75 and R = 25   Long Stemmed R = 25 - 5= 
25 - 5 = 20
20   So Long Stemmed Red/R= 20/60 = 33.3%   Answer - 33.3%
Answer: D
In a certain game, a player begins with a bag containing tiles numbered 1 through 11, each of which has an equal probability of being selected. The player draws one tile. If the tile is even, the player stops. If not, the player draws another tile without replacing the first. If this second tile is even, the player stops. If not, the player draws a third tile—without replacing either of the first two tiles—and then stops. What is the probability that at the conclusion of the game, the sum of the tiles that the player has drawn is odd?
Select
A) 5/18 B) 13/36 C) 3/8 D) 5/8 E) 23/36

Solution: player begins with containing tiles 1 to 11 and have equal probability of selecting means   Proabability of selecting one number =1/10. here 5 even numbers and 5 odd numbers are there.   Next , player draws one title , if number is even player stops or otherwise title is odd without replacement   player draws second title.   If second title is even , player stops or title is odd without replacement player draws third title.   in third title , without replacement of first and second title, player draws and stops it.   the sum of tilte probability is odd. here two conditions are possible.   1st condition is   1st title is odd+ 2nd title is even stops= probability of selecting one title is 1/10*5c1.   Here are we are not selecting 1st condition as even stops because sum of tile is odd.   Here 5 odd numbers are there we can select 1out of 5 odd numbers.   without replacement of fist we select second tilte is even. is 5/10*5c1/9c1.   here we are selecting one number out of remaining 9 numbers. so probability is 5/18.   we are selecting 1 even number out of 5.   2nd condition is 1stodd without replacement,2nd odd without replacement and 3rd one also odd to get odd as sum of title.   Then probability is 5/10*4/9*3/8=1/12.   Finally sum of probability of two conditions is 5/18+1/12   =23/36.   so option 23/36 is correct.
Answer: E
If 0 is the remainder when m is divided by 4, what is the remainder when 6m is divided by 4?  Options
A) 0	B) 1	C) 2	D) 3	E) 4

Solution: For any m that is divisible by 4, any multiple of m (such as 6m) will also be divisible by 4.   m = 4*a   6m = 6*4*a   The answer is, therefore, (0).
Answer: A
Which of the following is a pair of co–primes?
Choose the correct choice:
A) (16, 62)  B) (18, 25)  C) (21, 35)  D) (23, 92)  E) none

Solution: Solution   H.C.F. of 18 and 25 is 1. So, they are co-primes.   Answer (18, 25)
Answer: B
Krishan and Nandan jointly started a business. Krishan invested three times as Nandan did and invested his money for double time as compared to Nandan. Nandan earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was? Pick:
A) 28,009  B) 28,029  C) 28,019  D) 28,000  E) 28,0012

Solution: 3:1   2:1   ------   6:1   1 ----- 4000   7 ----- ? => Rs.28,000   Answer: 28,000
Answer: D
One type of liquid contains 10% of water and the second type of liquid contains 15% of water. A glass is filled with 5 parts of 1st liquid and 2 parts of 2nd liquid. The percentage of water in the new mixture in the glass is? Select:	A) 5.6%	B) 11.4%	C) 15.6%	D) 21.3%	E) 18.9%

Solution: Required percentage = (10% of 5 + 15% of 2)/5+2 *100   = 0.8/7 * 100 = 11.4%   Answer is 11.4%
Answer: B
Which of the following numbers is closest to 100 on the number line? Choose the correct choice from the following: A) 98 B) 95 C) 103 D) 107 E) 110

Solution: We place each of the five answers and 100 on a number line.   Of the five answers given, the two closest numbers to 100 are 98 and 103.   Since 98 is 2 units away from 100 and 103 is 3 units away from 100, then 98 is closest to 100.   Since the smallest positive dierence is 2, then 98 is the closest to 100 on the number line   correct answer 98
Answer: A
Three numbers are in the ratio 3:5:7. The largest number is 35. What is the difference between smallest and largest number?
Choose the correct option:
A) 16  B) 18  C) 20  D) 22  E) 24

Solution: The three numbers are 3x, 5x, and 7x.   The largest number is 35 = 7*5, so x = 5.   The smallest number is   3*5= 
  3*5 = 15
15.   35 - 15= 
35 - 15 = 20
20   The answer is 20.
Answer: C
A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 8 men leave the bus and four women enter. Now, number of men and women is equal. In the beginning, how many passengers entered the bus ? Choose the correct choice from the following answers:
A) 15
B) 30
C) 36
D) 45
E) 46

Solution: Explanation:   Originally, let number of women = x. Then, number of men = 2x.   So, in city Y, we have : (2x - 8) = (x + 4) or x = 12.   Therefore Total number of passengers in the beginning = (x + 2x) = 3x = 36.   Answer: 36
Answer: C
Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 13 cm  Pick one
A) 178 cm2	B) 179 cm2	C) 285 cm2	D) 247 cm2	E) 197 cm2

Solution: Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them)   = 1/2 (20 + 18) * (13)   = 247 cm2   Answer: 247 cm2
Answer: D
It takes Avery 2.5 hours to build a brick wall while Tom can do it in 4 hours. If the two start working together and after an hour Avery leaves, how much time will it take Tom to complete the wall on his own?  Pick one
A) 1 hour and 24 minutes.
B) 50 minutes.
C) 1 hour and 40 minutes.
D) 2 hours and 10 minutes
E) 1 hour and 20 minutes

Solution: 1 hour and 24 minutes.very's efficiency is 100/2.5= 
100/2.5 = 40
40%   Tom's= 100/4= 
100/4 = 25
25%   they worked together for 1 hour and finished 65% of the job   remaining= 35 %   Tom will complete 25 % in 60 minutes , and   10% in   60*10/25= 
  60*10/25 = 24
24 minutes   Time taken by Tom to finish the remaining on his own= 60+24= 
60+24 = 84
84 minutes   1 hour and 24 minutes.NSWER:1 hour and 24 minutes.
Answer: A
The circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 45 ft long. What is the distance traveled by the cart, when the front wheel has done five more revolutions than the rear wheel? Choose the correct choice:
A) 20 ft	B) 25 ft	C) 450 ft	D) 900 ft	E) 1000 ft

Solution: Point to note: Both the wheels would have traveled the same distance.   Now consider, no. of revolutions made by back wheel as x, which implies that the number of revolutions made by the front wheel is (x+5).   Equating the distance traveled by front wheel to back wheel: (x+5)*30 = x * 45. (Formula for calculating the distance traveled by each wheel is: # of revolutions * circumference.)   Solving this eqn. gives x=10.   Sub x=10 either in (x+5)*30 or in x * 45 to get the distance, which is 450. So the correct choice is 450 ft.
Answer: C
Gary’s Gas Station serves an average of 12 cars per hour on Saturdays, 10 cars per hour on Sundays, and 9 cars per hour on all other days of the week. If the station is open from 6 a.m. to 10 p.m. every day, how many cars does Gary’s station serve over the course of a typical week?
Choose the correct choice from the following answers.
A) 1,072
B) 1,200
C) 1,240
D) 1,280
E) 1,320

Solution: 6 a.m. to 10 p.m. = 16 hours   Number of cars serviced on weekdays = (16 * 9 * 5)   Number of cars serviced on Saturday = (16 * 12)   Number of cars serviced on Sunday = (16 * 10)   Number of cars served in a week = 16(45 + 12 + 10) = 16 * 67= 
16 * 67 = 1_072
1072   1,072nswer: 1,072
Answer: A
Which of the following could not be the lengths of the sides of a right angled triangle? Choose the correct choice from the following answers:
A) 3, 4, 5
B) 5, 12, 13
C) 8, 15, 17
D) 12, 15, 18
E) 9, 12, 15

Solution: A. 5^2 = 3^2+ 4^2   B. 13^2 = 12^2+ 5^2   C. 17^2 = 15^2 + 8^2   D. 18^2 not = 12^2 + 15^2   E. 15^2 = 12^21 + 9^2   Hence answer will be (12, 15, 18)
Answer: D
A man can row upstream at 10kmph and downstream at 24 kmph. The speed of the stream is Choose one:
A) 2.5 km/hr
B) 4.2 km/hr
C) 7 km/hr
D) 10.5 km/hr
E) None

Solution: Sol.   Speed of stream = 1/2(24 -10) kmph = 7 kmph.   Answer 7 km/hr
Answer: C
A side of beef lost 40 percent of its weight in processing. If the side of beef weighed 240 pounds after processing, how many pounds did it weigh before processing? Choose the correct choice from the following answers
A) 191	B) 400	C) 737	D) 840	E) 1,560

Solution: Let weight of side of beef before processing = x   (60/100)*x = 240   => x = (240 * 100)/60= 
(240 * 100)/60 = 400
400   Answer 400
Answer: B
To save money, Arkadelphia Cream Cheese will reduce each dimension of its rectangular box container (which is entirely full of cream cheese) by 25%, and reduce the price it charges its consumers by 25% as well. By what percentage does this increase the price-per-cubic-inch that each consumer will pay for cream cheese?
Choose the correct choice from the following options
A) 1. No change	B) 2. 78%	C) 3. 100%	D) 4. 300%	E) 5. 400%

Solution: Answer is 2. 78%   Take smart numbers   Let,   L = 20: 2. 78% = 10: H= 10 of initial box and Price = 100$   Therefore Price / cubic inch = 100 / (20*10*10)= 
100 / (20*10*10) = 1/20 = around 0.05
0.05   Now, when dimensions are reduced by 25% and price also reduced by 25%   L= 15; 2. 78%=7.5; H=7.5 and Price = 75$   Therefore price / cubic inch = 75 / (15*7.5*7.5) =0.089   Percentage change = (0.089 - 0.05) *100/ 0.025 = 78%
Answer: B
A can do a piece of work in 7 days of 9 hours each and B can do it in 6 days of 7 hours each. How long will they take to do it, working together 8 hours a day?
Pick:	A) 2 days	B) 3 days	C) 4 days	D) 5 days	E) 6 days

Solution: A can complete the work in (7 x 9) = 63 hours.   B can complete the work in (6 x 7) = 42 hours.   A’s 1 hour's work = (1/63) and B's 1 hour's work =(1/42)   (A + B)'s 1 hour's work =(1/63)+(1/42)=(5/126)   Both will finish the work in (126/5) hrs.   Number of days. of (42/5) hrs each =(126 x 5)/(5 x 42)=3 days   ANSWER 3 days 3 days
Answer: B
Can anyhow help me with an easy solution for this
2, 5, 25, 4, 8, 36, 6, 14, ?  Answers
A) 121  B) 100  C) 144  D) 169  E) 225

Solution: 2, 5, 25, 4, 8, 36, 6, 14, ?     5-2= 
  5-2 = 3
3 and   3+2= 
  3+2 = 5
5 and 5^2=25   8-4= 
8-4 = 4
4 and   4+2= 
  4+2 = 6
6 and 6^2=36   14-6= 
14-6 = 8
8 and   8+2= 
  8+2 = 10
10 and 10^2=100   ANSWER:100
Answer: B
How much 60% of 50 is greater than 40% of 30?
Choose the correct choice: A) 18 B) 91 C) 11 D) 17 E) 12

Solution: (60/100) * 50 – (40/100) * 30   30 - 12= 
30 - 12 = 18
18   18nswer: 18
Answer: A
A cistern has three pipes, A, B and C. The pipes A and B can fill it in 20 and 15 hours respectively and C can empty it in 30 hours. If the pipes are opened in order at 1, 2 and 3 A.M. When will the cistern be empty? Select:
A) 7 AM B) 5 AM C) 6 AM D) 4 AM E) 11 AM

Solution: 1 to 2 = 1/20   2 to 3 = 1/20 + 1/15 = 7/60   After 3 AM = 1/20 + 1/15 - 1/30= 5/60   1/20 + 7/60 = 1/6   1 h ---- 5/60   ? ----- 1/6   2hours ==> 5 AM   Answer:5 AM
Answer: B
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. In how much time will the trains cross each other?	Choose the correct option.
A) 80/6
B) 80/7
C) 80/9
D) 80/2
E) 80/1

Solution: Relative speed = (54 + 72)* 5/18 = 7 * 5= 
7 * 5 = 35
35 mps.   The time required= d/s = (100 + 100 + 200)/35   = 400/35 = 80/7 sec.   Answer:80/7
Answer: B
At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.25000? Choose the correct choice from the following answers.
A) 8275  B) 1879  C) 2779  D) 2672  E) 2782

Solution: 8275 = 25000(11/10)^3   = 33275   = 25000   ----------   8275   8275nswer: 8275
Answer: A
If 9 men and 2 boys working together, can do eight 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 most appropriate option:
A) 2:5
B) 1:3
C) 5:8
D) 6:1
E) 7:2

Solution: 9M + 2B =8(1M + 1B)   9M + 2B = 8M + 8B   1M = 6B   The required ratio of work done by a man and a boy =6:1   Answer:6:1
Answer: D
Stephanie, Regine, and Brian ran a 20 mile race. Stephanie and Regine's combined times exceeded Brian's time by exactly 2 hours. If nobody ran faster than 8 miles per hour, who could have won the race?
I. Stephanie
II. Regine,Brian,Stephanie
III.Regine  Pick:
A) I only  B) II only  C) III only  D) I or II only  E) I or III only

Solution: Given that S+R=B+2, where S, R, and B are times in which Stephanie, Regine, and Brian completed the race.   Min time one could complete the race is  20/8= 
 20/8 = 5/2 = around 2.5
2.5 hours. Let's see if Brian could have won the race: if he ran at the fastest rate, he would complete the race in 2.5 hours, so combined time needed for Stephanie and Regine would be S+R=B+2=4.5 hours, which is not possible as sum of two must be more than or equal the twice the least time: 2*2.5= 
2*2.5 = 5
5. So Brian could not have won the race.   There is no reason to distinguish Stephanie and Regine so if one could have won the race, another also could. So both could have won the race.   Answer: I or III only.
Answer: E
The banker’s gain on a sum due 3 years hence at 12% per annum is Rs. 270. Then banker’s discount is :  Choose the correct choice from the following answers:
A) 500
B) 750
C) 890
D) 1020
E) None

Solution: Sol.   T.D. = [B.G. * 100 / R * T] = Rs.[270 * 100 / 12 * 3] = Rs.750.   ∴ B.D. = Rs. (750 + 270) = Rs.102   Answer 1020
Answer: D
Salad dressing P is made up of 30% vinegar and 70% oil, and salad dressing Q contains 10% vinegar and 90% oil. If the two dressings are combined to produce a salad dressing that is 12% vinegar, dressing P comprises what percentage of the new dressing?  Choose one
A) 50%
B) 40%
C) 30%
D) 20%
E) 10%

Solution: Let x be the percentage of dressing P in the new dressing.   0.3x + 0.1(1-x) = 0.12   0.2x = 0.02   x = 0.1 = 10%   The answer is 10%.
Answer: E
In an apartment building that has 490 units, 4 out of every 7 units are currently rented, including 1/4 of the one-bedroom units. If, of the rented apartments, there is a 6:1 ratio of two-bedroom units to one-bedroom units, and the building only consists of two-bedroom and one-bedroom units, how many two-bedroom units are not rented?	Choose one:
A) 50  B) 90  C) 100  D) 105  E) 140

Solution: Rented = 4/7*490= 
4/7*490 = 280
280.   Rented two-bedroom= 6/7*280= 
6/7*280 = 240
240;   Rented one-bedroom= 1/7*280= 
1/7*280 = 40
40 (or 280-240= 
280-240 = 40
40).   Rented one-bedroom units are 1/4 of all one-bedroom: 1/4*{All one bedroom}= 40 --> {All one-bedroom} = 160   {All two-bedroom} = 490 - 160= 
490 - 160 = 330
330   Two-bedroom not rented= 330 - 240= 
330 - 240 = 90
90   90
Answer: B
After successive discounts of 20%, 10% and 5% a certain good is sold for Rs. 6840. Find the actual price of the good.  Choose the correct choice: A) Rs. 6000 B) Rs. 9000 C) Rs. 10800 D) Rs. 10000 E) Rs. 9980

Solution: Let actual price was 100.   After three successive discount this will become,   100 ==20% discount => 80 ==10% discount => 72 ==5% discount = 68.4   Now Compare,   68.4 = 6840   1 = 6840/68.4   100 = (6840 *100)/68.4 = Rs. 10,000.   Answer: Option Rs. 10000
Answer: D
Ravi and Kavi start a business by investing â‚¹ 3000 and â‚¹ 72000, respectively. Find the ratio of their profits at the end of year. Select
A) 2 : 24	B) 5 : 24	C) 7 : 24	D) 1 : 24	E) 3 : 24

Solution: Ratio of profit = Ratio of investments   = 3000 : 72000 = 1 : 24   Answer : 1 : 24
Answer: D
The average of first five prime numbers greater than 20 is?
Choose the correct choice from the following choices:
A) 32.6	B) 32.9	C) 32.3	D) 32.2	E) 32.7

Solution: 23 + 29 + 31 + 37 + 41= 
23 + 29 + 31 + 37 + 41 = 161
161/5= 
161/5 = 161/5 = around 32.2
32.2   Answer: 32.2
Answer: D
80 370 860 1550 ? 3530
Choose the most appropriate option:
A) 900 B) 2440 C) 750 D) 244 E) 960

Solution: 10^2 - 20 = 80   20^2 - 30 = 370   30^2 - 40 = 860   40^2 - 50 = 1550   50^2 - 60 = 2440   60^2 - 70 = 3530.   ANSWER:2440
Answer: B
Which one of the following is divisible by 9?
Choices
A) 23, 50, 821
B) 28, 70, 052
C) 42, 13, 533
D) 64, 000, 80
E) 65, 000, 90

Solution: Explanation:   (a) 2350821 = 2+3+5+0+8+2+1= 
2+3+5+0+8+2+1 = 21
21, not divisible by 9   (b) 2870052= 2+8+7+5+2= 
2+8+7+5+2 = 24
24, not divisible by 9.   (c) 4213533= 4+2+1+3+5+3+3 = 19, not divisible by 9.   (d) 6400080 = 6+4+8= 
6+4+8 = 18
18, divisible by 9.   Answer: 64, 000, 80
Answer: D
A train is moving at 4/5 of its usual speed. The train is 30 minutes too late. What is the usual time (in hours) for the train to complete the journey?
Choose the correct choice:
A) 1	B) 1.5	C) 2	D) 2.5	E) 3

Solution: new time = d / (4v/5) = 5/4 * usual time   30 minutes represents 1/4 of the usual time.   The usual time is 2 hours.   The answer is 2.
Answer: C
Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.3600. How much third person will get?  Select the correct option:  A) 1600  B) 2878  C) 2699  D) 2662  E) 1821

Solution: First persons investment = x   Second persons investment = x + 1000   Third persons investments = x + 2000   x + x + 1000 + x + 2000 = 9000   3x = 6000   x = 2000   Ratio = 2000 : 3000 : 4000   2:3:4   4/9 * 3600= 
4/9 * 3600 = 1_600
1600   1600nswer: 1600
Answer: A
Find the area of a rhombus whose side is 25 cm and one of the diagonals is 33 cm?	Options.
A) 276 sq.cm
B) 268 sq.cm
C) 618 sq.cm
D) 660 sq.cm
E) 600 sq.cm

Solution: Consider the rhombus ABCD. Let the diagonals intersect at E. Since diagonals bisect at right angles in a rhombus.   BE2 + AE2 = AB2   252 = 152 + AE2 AE = √(625 - 225)= 
(625 - 225) = 400
√400= 20,   AC = 20 + 20= 
20 + 20 = 40
40 cm.   Area of a rhombus= 1/2 * d1d2   = 1/2 * 40 * 33= 
1/2 * 40 * 33 = 660
660 sq.cm.   Answer:660 sq.cm
Answer: D
The average weight of three boys P, Q and R is 54 kg, while the average weight of three boys Q, S and T is 60 kg. What is the average weight of P, Q, R, S and T?
Options
A) 66.4 kg
B) 63.2 kg
C) 58.8 kg
D) Data Inadequate
E) None of these

Solution: Explanation:   Total weight of (P + Q + R) = {54*3= 
54*3 = 162
162 kg   Total weight of(Q + S + T)= (60 *3)= 
(60 *3) = 180
180 kg   Adding both, we get : P + 2Q + S + R + T= (162 + 180)= 
(162 + 180) = 342
342 kg   So, to find the average weight of P, Q, R, S & T, we ought to know Q's weight, which is not given.   The data is inadequate   ANSWER: Data Inadequate
Answer: D
In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?	Choose the correct answer
A) 1/10
B) 2/5
C) 2/7
D) 5/7
E) NONE OF THESE

Solution: P (getting a prize) =	10/(10 + 25)	=	10/35	=	2/7	.   Answer :2/7
Answer: C
A tree increases annually by 1⁄5 th of its height. If its height today is 50 cm, what will be the height after 2 years?
Choose the most appropriate option.
A) 64 cm  B) 84 cm  C) 72 cm  D) 64 cm  E) 74 cm

Solution: Explanation:   This problem is similar to the problems we saw in compound interest.   We can use the formulas of compound interest here as well.   Rate of increase = 1/5 × 100 = 20%   Height after 2 years = P(1+R/100)T   = 50(1 + 20/100)2 = 50(1 + 1/5)2   = 50(6/5)2 = (50 × 6 × 6)/(5 × 5) = 2 × 6 × 6 = 72 cm   Answer: Option 72 cm
Answer: C
When 0.232323..... is converted into a fraction, then the result is Choose the correct choice from the following answers:
A) 23/99
B) 2/9
C) 1/5
D) 23/100
E) 23/98

Solution: 0.232323... = 0.23   =	23/99   23/99nswer is 23/99.
Answer: A
If the perimeter of a rectangular garden is 1800 m, its length when its breadth is 400 m is?
Select the correct option:
A) 500
B) 600
C) 700
D) 800
E) 900

Solution: 2(l + 400) = 1800 => l = 500 m 500nswer: 500
Answer: A