MU-NLPC/Calc-aqua_rat huggingface dataset:
The average of temperatures at noontime from Monday to Friday is 60; the lowest one is 40, what is the possible maximum range of the temperatures?
Choose one.
A) 100
B) 25
C) 40
D) 45
E) 75

Solution: 100verage=60, Sum of temperatures=60*5= 
60*5 = 300
300   100s the min temperature is 40, max would be   300-4*40= 
  300-4*40 = 140
140 --> The range=140(max)-40(min)=100   100nswer: 100
Answer: A
Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter?
Options:
A) 299
B) 132
C) 269
D) 267
E) 262

Solution: 2 * 22/7 * 14= 
2 * 22/7 * 14 = 88
88   88 * 1 1/2= Rs.132   Answer:132
Answer: B
If the perimeter of square region Q and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3 then the ratio of the area of R to the area of Q  Select.
A) 25:16  B) 24:25  C) 5:6  D) 4:5  E) 4:9

Solution: We know Perimeter of a square (Pq) = 4*side   Perimeter of a rectangle (Pr) = 2(length+breath)   Let us assume 40 to be the perimeter of the square (since we know each side of a square is equal and the perimeter is divisible by 4, also take in to account the length and breadth of the rectangle is in the ration 2k:3k = 5k; we can assume such a number)   Therefore,   Pq = Pr = 40   Area of the square = 100 sq. units   We know 2(length+breadth) = 40   i.e. length + breadth = 20 (or 5k = 20 given that l:b (or b:l) = 2:3)   Therefore length = 8, breath = 12   Area of the rectangle = 8*12= 
8*12 = 96
96 sq. units   Question asked= Area of the rectangle : Area of the square = 96:100 ==> 24:25=24:25
Answer: B
A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?	Select
A) 2288	B) 2776	C) 5550	D) 3389	E) 2882

Solution: Total production of salt by the company in that year = 5000 + 5100 + 5200 + .... + 6100 = 66600.   Average monthly production of salt for that year = 66600/12= 
66600/12 = 5_550
5550.   Answer: 5550
Answer: C
Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter? Choose the most appropriate option
A) 288 B) 132 C) 882 D) 292 E) 261

Solution: 2 * 22/7 * 14= 
2 * 22/7 * 14 = 88
88   88 * 1 1/2= Rs.132   Answer: 132
Answer: B
The speed of a train is 120 kmph. What is the distance covered by it in 40 minutes?	Options.
A) 50 kmph  B) 60 kmph  C) 70 kmph  D) 80 kmph  E) 85 kmph

Solution: 120 * 40/60= 
120 * 40/60 = 80
80 kmph   Answer: 80 kmph
Answer: D
A courtyard 25 m long and 16 m broad is to be paved with bricks of dimensions 20 cm by 10 cm. The total number of bricks required is Select:
A) 15000
B) 18000
C) 20000
D) 25000
E) None

Solution: Solution   Number of bricks   = [ Area of courtyard / Area of 1 brick ]   = [2500×1600 / 20×10]   = 20000.   Answer 20000
Answer: C
What is the total number of Y integers between 100 and 200 that are divisible by 3?  Answers:
A) 33
B) 32
C) 31
D) 30
E) 29

Solution: yes there is a different way of arriving at that answer ....   u can also use airthmetic progression to get the answer   since the first term to be divisble by 3 is 102 ..take that as A .. the starting no   and since 198 is the last digit to be divisible by 3 take that as N ...   since the difference is 3 take that as D   no u have to find what term is 198 take that as nth term   the formula for that is N = 33 + (n-1) * d   198 = 102 +(n-1) * 3   from this u get n =33
Answer: A
The sum of three consecutive integers is 102. Find the lowest of the three?	Choices
A) 22	B) 99	C) 21	D) 33	E) 27

Solution: Three consecutive numbers can be taken as (P - 1), P, (P + 1).   So, (P - 1) + P + (P + 1) = 102   3P = 102 => P = 34.   The lowest of the three = (P - 1) = 34 - 1= 
34 - 1 = 33
33.Answer:33
Answer: D
In a rectangular metallic piece of paper that covers exactly the area of a cube. The length of the piece of paper is 48 inches and the width is 72 inches. What is the volume of the cube in cubic feet is 1 feet is 12 inches?
Choose the correct choice from the following choices:	A) a 8	B) b 24	C) c 27	D) d 40	E) e 51

Solution: l = 48 /12= 
48 /12 = 4
4 ft   w= 72 / 12= 
72 / 12 = 6
6 ft   a 8rea of paper= 24   a 8rea of cube = 4 * side^2   side of cube = 2   V of cube = 8
Answer: A
If X is to be chosen at random from the integers between 1 to 7, inclusive, and Y is to be chosen at random from the integers between 7 and 11, inclusive, what is the probability that X + Y will be even?
Choose the correct choice.
A) 3/5	B) 4/7	C) 5/7	D) 18/35	E) 23/35

Solution: X+Y will be even if X and Y are both even or both odd.   P(X and Y are both even) = 3/7*2/5 = 6/35   P(X and Y are both odd) = 4/7*3/5 = 12/35   P(X+Y is even) = 6/35 + 12/35 = 18/35   The answer is 18/35.
Answer: D
Set #1 = {O, P, Q,R, E}
Set #2 = {A, U, M, N, T, P}
There are these two sets of letters, and you are going to pick exactly one letter from each set. What is the probability of picking at least one vowel? Pick one:	A) 1/2	B) 1/5	C) 1/6	D) 3/5	E) 1/8

Solution: At least questions are best solved by taking the opposite scenario and subtracting it from 1. Probability of choosing no vowel from set 1 is 3/5 and set 2 is 4/6. Multiply these to get 2/5. Therefore, probability of picking at least one vowel = 1-2/5= 3/5   ANSWER =3/5
Answer: D
If john makes a contribution to a charity fund at school, the average contribution size will increase by 50% reaching $75 per person. If there were 1 other contributions made before john's, what is the size of his donation? Options.
A) $100
B) $150
C) $200
D) $250
E) $450

Solution: Cavg = average contribution before John   Cavg*1.5 = 75, therefore the average cont is $50 before John.   If he needs to increase the average contribution by $25, he must put in $25 for each of the 1 people.   so $25.   But, he also has to put in the average for himself (the twoth person), so add $75.   So $100 is your answer.   $100nswer $100
Answer: A
Anne and Katherine are both saving money
from their summer jobs to buy bicycles. If
Anne had $150 less, she would have exactly 1/3
as much as Katherine. And if Katherine
had twice as much, she would have exactly
3 times as much as Anne. How much
money have they saved together?
(  Choices:
A) $300
B) $400
C) $450
D) $625
E) $750

Solution: If Anne had $150 less, Katherine would have three times more than Anne. Make this   statement into an equation and simplify:   3(a – 150) = k   3a – 450 = k   And if Katherine had twice as much, she would have three times more than Anne:   2k = 3a   Substitute 3a – 450 for k into the last equation and solve for a   2(3a – 450) = 3a   6a – 900 = 3a   –900 = –3a   300 = a   Now substitute 300 for a into the same equation and solve for k:   2k = 3(300)   2k = 900   k = 450   Thus, together Anne and Katherine have  300 + 450= 
 300 + 450 = 750
750   correct answer $750)$750
Answer: E
A car covers a distance of 360 km in 10 hrs. What is its speed in mps. Select
A) 10 m/s
B) 25 m/s
C) 20 m/s
D) 15 m/s
E) 16 m/s

Solution: Explanation:   Distance = Speed x Time   Speed = (360/10)= 
(360/10) = 36
36 kmph   Spees in mps= 36 x 5/18 = 2 x 5 = 10 mps.   10 m/snswer: Option 10 m/s
Answer: A
Exactly 15% of the reporters for a certain wire service cover local politics in Country X. If 25% of the reporters who cover politics for the wire service do not cover local politics in Country X, what percent of the reporters for the wire service do not cover politics?	Options:
A) 20%	B) 42%	C) 44%	D) 80%	E) 84%

Solution: Let's assume there are 100 reporters --> 15 reporters cover local politics.   Now, as 25% of the reporters who cover all politics do not cover local politics then the rest 75% of the reporters who cover politics do cover local politics, so if there are x reporters who cover politics then 75% of them equal to 15 (# of reporters who cover local politics): 0.75x=15--> x=20, hence 20 reporters cover politics and the rest 100-20= 
100-20 = 80
80 reporters do not cover politics at all.   Answer: 80%.
Answer: D
Two men start together to walk a certain distance, one at 4 kmph and another at 3 kmph.The former arrives half an hour before the latter. Find the distance.  Choose the correct choice:	A) 6 kilometre	B) 7 km	C) 8 km	D) 9 km	E) None of these

Solution: Let the distance be x km. Then,   x/3 - x/4 = 1/2   (4x - 3x)/12 = 1/2   x = 6 km   6 kilometreNSWER:6 kilometre
Answer: A
The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
Pick.
A) 240 B) 270 C) 295 D) 360 E) 252

Solution: Let the smaller number be x. Then larger number = (x + 1365).   x + 1365 = 6x + 15   5x = 1350   x = 270   Smaller number = 270.   ANSWER 270
Answer: B
At present, the ratio between the ages of Akbar and Denial is 4:3. After 6 years, Arun’s age will be 26 years. What is the age of Deepak at present?
Choose one:
A) 5
B) 10
C) 15
D) 20
E) 25

Solution: Sol.   Let the present ages of Akbar and Danial be 4x years and 3x years respectively. Then,   4x + 6 =26 ⇔ 4x = 20 ⇔ x = 5.   ∴ Deepak’s age = 3x =15 years.   Answer 15
Answer: C
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 R is a possible value for x + y?
I. 18
II. 19
III. 20	Choose the correct choice from the following choices:
A) I only B) II only C) R=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   R=III only
Answer: C
In how many different number of ways 6 men and 2 women can sit on a shopa which can accommodate persons?	Choose one:
A) 1680 B) 1800 C) 2000 D) 2100 E) 2300

Solution: 8p4 = 8 Ã— 7 Ã— 6 x 5 = 1680   1680nswer :1680
Answer: A
At 6'o clock clock ticks 6 times. The time between first and last ticks was 30sec. How much time it takes at 8'o clock.
Choose the correct option:
A) 54sec	B) 48sec	C) 42sec	D) 70sec	E) 60sec

Solution: At 6'0 clock, clock ticks 6 times.   So, there must be 5 intervals between clock ticks.   Time Between first and last ticks = 30sec   So, 1 interval = 30/5= 
30/5 = 6
6sec   So 6'o clock 5 *6= 
5 *6 = 30
30sec   7'o clock 6 *6= 
6 *6 = 36
36sec   8'o clock 7 *6= 
7 *6 = 42
42sec   So, 42sec at 8'o clock.   ANSWER:42sec
Answer: C
On a sum of money, the simple interest for 2 years is Rs. 327, while the compound interest is Rs. 340, the rate of interest being the same in both the cases. The rate of interest is
Select:	A) 15%	B) 14.25%	C) 7.95%	D) 10.5%	E) 11.5%

Solution: Explanation:   The difference between compound interest and simple interest on Rs. P for 2 years at R% per annum   = (R Ã— SI)/(2 Ã— 100)   Difference between the compound interest and simple interest = 340 - 327= 
340 - 327 = 13
13   (R Ã— SI)/(2 Ã— 100)= 13   (R Ã— 327)/(2 Ã— 100) = 13   R = 7.95%   Answer: Option 7.95%
Answer: C
How is 1/2 % expressed as a decimal fraction?  Choose the most appropriate option: A) 0.5 B) 0.05 C) 0.005 D) 0.0005 E) 5

Solution: as 1/2= 
1/2 = 1/2 = around 0.5
0.5 and its percent value will be  0.5/100= 
 0.5/100 = 0.005
0.005   ANSWER:0.005
Answer: C
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when No boy gets more than one prize?  Pick one:
A) 20
B) 21
C) 23
D) 24
E) 28

Solution: Sol. In this case, repetitions are not allowed. So, the first prize can be given in 4 ways. The second in 3 ways and the third in 2 ways. But fundamental principle, (4 x 3 x 2) ways = 24 ways   4: Or 4p = — 4:- 4X3X2X1- 24 ways   24
Answer: D
A box contains six light out of which 3 are defective. If three light are chosen at random, find the probability that all the three light are defective?  Choose the correct choice:
A) 2/25
B) 3/20
C) 1/30
D) 3/35
E) None of these

Solution: Out of nine light , five are good and four are defective.   Required probability = 3C3/6C3 = 1/20   3/20
Answer: B
A shopkeeper loses 15%,if an article is sold for Rs. 102. What should be the selling price of the article to gain 20%?	Answers:
A) Rs. 150
B) Rs. 144
C) Rs. 138
D) Rs. 132
E) None of these

Solution: Given that SP = Rs. 102 and loss = 15%   CP = [100(SP)]/(100 - l%) = (100 * 102)/85 = 20 * 6 = Rs. 120.   To get 20% profit, New SP = [(100 + p%)CP]/100 = (120 * 120)/100 = Rs. 144   ANSWER:Rs. 144
Answer: B
A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?	Choose the correct choice from the following
A) 277 m
B) 776 m
C) 500 m
D) 187 m
E) 1678 m

Solution: Speed = 78 * 5/18 = 65/3 m/sec.   Time = 1 min = 60 sec.   Let the length of the train be x meters.   Then, (800 + x)/60 = 65/3   x = 500 m.   Answer:500 m
Answer: C
Mohan ranks twenty-first in a class of sixty-five students. What will be his (Mohan's)rank if the lowest candidate is assigned rank 1? Pick
A) 44th	B) 45th	C) 46th	D) Data inadequate	E) None of these

Solution: 65=21+x-1   ans 45   ANSWER:45th
Answer: B
Two boys are standing side-by-side. One boy, which is 3 feets tall, casts a shadow that is 4.5
feets long. The other boy is 4 feets tall. Compute, in feets, the length of the shadow that
the taller boy casts.
Select the correct option
A) 8
B) 10
C) 6
D) 4
E) 12

Solution: The ratio of shadow to height is constant, so if x is the length of the shadow, then   3/4.5 = 4/x and x = 6 .   correct answer 6
Answer: C
What proximate value should come in place of the question mark (?) in the following question?
6.795 Ã— 1084 + 2568.34 â€“ 1708.34 = ?
Choose the correct choice.
A) 6,000
B) 12,000
C) 10,340
D) 8,204
E) 9,000

Solution: ? â‰ˆ 6.8 Ã— 1080 + 2560 â€“ 1700 â‰ˆ 7344 + 860 â‰ˆ 8204   Answer 8,204
Answer: D
How much is 80% of 40 is greater than 4/5 of 25? Options:
A) 4	B) 6	C) 9	D) 12	E) 15

Solution: Explanation:   (80/100) * 40 â€“ (4/5) * 25   32 - 20= 
32 - 20 = 12
12   ANSWER IS 12
Answer: D
If the area of circle is 1256 sq cm then its circumference?	Options:
A) 125
B) 135
C) 140
D) 110
E) 145

Solution: 22/7 r2 = 1256 => r =20   2 * 22/7 * 20 = 125   Answer: 135
Answer: B
The organizers of a week-long fair have hired exactly nine security guards to patrol the fairgrounds at night for the duration of the event. Exactly four guards are assigned to patrol the grounds every night, with no guard assigned consecutive nights. If the fair begins on a Monday, how many different groups of 4 guards will be available to patrol the fairgrounds on the following Saturday night? Choose the correct choice from the following answers: A) 3 B) 5 C) 7 D) 9 E) 11

Solution: For any given day, only the guards patrolling on the previous day won't be available. So, 4 guards who patrolled on Friday won't be available. We are thus left with 5 guards.   To choose 4 out of 5, we will have 5C4 = 5 different groups.   The answer is 5.
Answer: B
A student is ranked 16th from right and 6th from left. How many students are there in totality ?	Options:
A) 18
B) 19
C) 20
D) 21
E) 22

Solution: From right 16 , From left 6   Total = 16+6-1= 
16+6-1 = 21
21   ANSWER:21
Answer: D
The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is -. Select the correct option:
A) (6!)2
B) 6! * ⁷P₆
C) 2(6!)
D) 6! * 7
E) None of these

Solution: We can initially arrange the six boys in 6! ways.   Having done this, now three are seven places and six girls to be arranged. This can be done in ⁷P₆ ways.   Hence required number of ways = 6! * ⁷P₆   ANSWER:6! * ⁷P₆
Answer: B
In a village of 100 households, 85 have at least one DVD player, 90 have at least one cell phone, and 55 have at least one MP3 player. If x and y are respectively the greatest and lowest possible number of households that have all three of these devices, x – y is:	Choose the correct choice from the following choices:
A) 65
B) 55
C) 45
D) 35
E) 25

Solution: Am I missing something here??? it seems straightforward......   The obvious maximum that have all 3 is 55, because you are limited by the SMALLEST number.   The minimum is simply the sum of the max of each people who DONT have the product, so:    100-90= 
 100-90 = 10
10 don't have Cell    100-85= 
 100-85 = 15
15 don't have DVD   and  100-55= 
 100-55 = 45
45 don't have MP3   SO a total of   10+15+45= 
  10+15+45 = 70
70 combined who might NOT have SOME combination of the 3 products. So subtract that from 100, to give you the minimum of the people who COULD have all 3 and you get  100-70= 
 100-70 = 30
30.   55-30= 
55-30 = 25
25   25
Answer: E
A room of 8m 44cm long and 3m 50cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor.	Choose the most appropriate option:
A) 73850 B) 73805 C) 844 D) 350 E) 2

Solution: Explanation:   area of the room = 844 * 350 sq cm   size of largest square tile = H.C.F of 844cm and 350cm= 2cm   area of 1 tile = 2*2 sq cm   no. of tiles required = (844*350) / (2* 2)= 
(844*350) / (2* 2) = 73_850
73850   73850nswer: 73850) 73850
Answer: A
2^8×39+31=?	Choices
A) 34545
B) 65657
C) 65567
D) 45677
E) 56782

Solution: 256*39+31   65567   65567
Answer: C
When x is divided by y, the quotient is p with remainder r. Which of the following is y in terms of r, x, and p? (Assume both y and p are nonzero.) Choose the correct choice from the following options:
A) x – r – p B) (x+r)/p C) x/p−r D) (x−r)/p E) xr –p

Solution: Given that when x is divided y, the quotient is p and remainder is r. This implies x-r is divisible by y and yp=(x-r) or y = (x-r)/p.   Answer (x−r)/p.
Answer: D
In one hour, a boat goes 11 km along the steram and 5 km against the stream. The speed of the boat in still waer (in km/hr) is:
Pick.
A) 2 B) 4 C) 8 D) 12 E) 15

Solution: Sol.   Speed in still water = 1/2 (11+5) kmph = 8 kmph.   Answer 8
Answer: C
A and B enter into a partnership with respective capitals of Rs. 20,000 and Rs. 40,000. At the end of the year, the total profit is Rs. 30,000. If A receives Rs. 15,000 as both his salary and profit, then what is his salary?	Choose the correct choice from the following options:
A) Rs. 2000	B) Rs. 4000	C) Rs. 5000	D) Rs. 3000	E) None of these

Solution: Explanation:   A's capital : B 's capital   20000 : 40000 = 1 : 2   Since, the time period is fixed, the profit is distributed in the ratio of capital 1 : 2   Profit of A = (1/3) * 30,000 = Rs. 10,000   Salary of A = Rs. (15000 – 10000) = Rs. 5000   ANSWER: Rs. 5000
Answer: C
Martha is 4 times the age of her daughter,Lyndra 4 years ago she was 8 times her daughters age,after how may years will martha be twice lyndra's age Choose the correct answer:	A) 14y	B) 28y	C) 7y	D) 21y	E) 22y

Solution: Let m and l be the present ages of Martha and Lyndra   Then m=4l   4 years ago   (m-4)=8(l-4)   m = 8l-28   Equate "m"   4l = 8l - 28   4l = 28   l = 7   m = 28   14yfter x years , Martha ll be twice of Lyndra   (m+x) = 2(l+x)   28+x = 2*7+2x   28+x = 14+2x   x = 14   So after 14 years martha and lyndra ages ll be 42 and 21   14yNSWER:14y
Answer: A
A man can row 3.3 km/hr in still water. It takes him twice as long to row upstream as to row downstream. What is the rate of the current ?
Choose the correct choice from the following.
A) 1.9
B) 1.7
C) 1.2
D) 1.5
E) 1.1

Solution: Speed of boat in still water (b) = 3.3 km/hr. Speed of boat with stream (Down Stream), D = b + u Speed of boat against stream (Up stream), U = b – u It is given upstream time is twice to that of down stream. ⇒ Downstream speed is twice to that of upstream. So b + u = 2(b – u) ⇒ u =b/3 = 1.1 km/hr.   Answer: 1.1
Answer: E
The 80-milliliter solution of sugar and water is 20% sugar. How much water (in milliliters) must be added to make a solution that is 5% sugar?	Choose the correct choice from the following choices:
A) 240
B) 280
C) 320
D) 360
E) 400

Solution: In the original solution the amount of sugar is 0.2*80= 
0.2*80 = 16
16 ml.   Let the volume of the new solution be V.   0.05V=16 ml.   V=320 ml.   The amount of water we need to add is   320 - 80= 
  320 - 80 = 240
240 ml.   The answer is 240.
Answer: A
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 24 hours and 8 hours respectively. The ratio of their speeds is  Choose the correct choice from the following options:
A) 4 : 9
B) 4 : 3
C) 1 : 3
D) 4 : 8
E) 4 : 5

Solution: Let us name the trains as A and B. Then, (A's speed) : (B's speed) = b : a = 8 : 24 = 1 : 3.Answer: 1 : 3
Answer: C
The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train? Select the correct option:
A) 22 Kmph	B) 68 Kmph	C) 56 Kmph	D) 11 Kmph	E) 76 Kmph

Solution: Length of the two trains = 600m + 400m   Speed of the first train = X   Speed of the second train= 48 Kmph   1000/X - 48 = 180   1000/x - 48 * 5/18 = 180   50 = 9X - 120   X = 68 Kmph   Answer: 68 Kmph
Answer: B
An aeroplane covers a certain distance of 450 Kmph in 4 hours. to cover the same distance in 3 2/3 hours, it Must travel at a speed of	Choose the correct choice from the following.
A) 440 B) 490 C) 640 D) 740 E) 250

Solution: Speed of aeroplane = 450 Kmph   Distance travelled in 4 hours   = 450 * 4= 
450 * 4 = 1_800
1800 Km   Speed of aeroplane to acver 1800 Km in 11/3= 1800*3/11 = 490 Km   Answer 490.
Answer: B
Rs. 20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same? Choose the correct choice:
A) 10.49  B) 10.4  C) 10.42  D) 10.41  E) 10.46

Solution: S.I. on Rs. (260 - 20) for a given time = Rs. 20.   S.I. on Rs. 240 for half the time = Rs. 10.   T.D. on Rs. 250 = Rs. 10.   T.D. on Rs. 260 = Rs. 10	x 260 = Rs. 10.40   250   Answer: 10.4
Answer: B
A train 300 m long can cross an electric pole in 20 sec and then find the speed of the train?	Choose the correct choice from the following choices:
A) 987 B) 54 C) 72 D) 27 E) 28

Solution: Length = Speed * time   Speed = L/T   S = 300/20= 
300/20 = 15
15M/Sec   Speed= 15*18/5 (To convert M/Sec in to Kmph multiply by 18/5)   Speed = 54Kmph   Answer:54
Answer: B
X and Y are two towns. Ganesh covers the distance from X to Y at an average speed of 43 Km/hr. However, he covers the distance from Y to X at an average speed of 34 Km/hr. His average speed during the whole journey in km/hr. is :	Choose the correct option:
A) 34  B) 43  C) 40  D) 38  E) 29

Solution: Solution: Average speed = 2XY / X+Y   = 2*43*34 / 43+34   = 2924 / 77   = 37.974... = 38   Answer : 38
Answer: D
Preeti covers a distance in 40 min , if she drives at a speed of 60 km/h on an average. Find the speed at which she must drive at to reduce the time of the journey by 50%.  Answers:
A) 60 km/h	B) 70 km/h	C) 117.64 km/h	D) 100 km/h	E) 125.25 km/h

Solution: Given Speed = 60 Kmph.   It means Preeti covered 60 km in 60 min (1 hour). So, in 40 min he will cover 40 km.   50% time reduced = 40 - 50% of 40 = 20 min.   Thus, Preeti needs to cover 40 km in 20 min (0.34 hour).   Speed * Time = Distance.   Speed * 0.34 = 40   Speed = 117.64 kmph.   ANSWER : OPTION 117.64 km/h
Answer: C