A thermal chimney of circular cross section has outer and inner radii of 3m and 2m respectively. Find the cost of cement finishing for the inner and outer surface at Rs20 per sq.meter, if the height of the chimney is 56m.
A :
Rs 80000
B :
Rs 45760
C :
Rs 35200
D :
Rs 7040
Answer: C
Q. No. :
2
Question :
The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
Let Rs x be the cost price According to question Profit earned=(1920-x)*100/x Loss=(x-1280)*100/x Profit=loss (1920-x)*100/x=(x-1280)*100/x on solving x=1600 For selling at 25% profit=1600(1+ 25/100) =2000
Q. No. :
3
Question :
A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:
Four conditions:
4 Men 1 Woman
3 Men 2 Women
2 Men 3 Woman
1 Men 4 Woman
6C4 * 4C1 + 6C3 * 4C2 + 6C2 * 4C3 + 6C1 * 4C4 = 246
Q. No. :
7
Question :
A can do a work in 6 days and B in 8 days. With the help of a boy, the three complete the work in 3 days and get Rs 200. What is the boy's share, if the money is distributed in the ratio of work done?
A can do a work in 6 days and B in 8 days. So in 1 day A do 1/6 work and in 1 day B do 1/8 work
In 3 days work done by A = 3/6=1/2 In 3 days work done by A = 3/8
So work done by boy in 3 days = 1-(1/2+3/8) = 1-7/8 = 1/8 So boy's share = 200 * 1/8 = 25 Rs
Q. No. :
8
Question :
The regular hexagon of side 2m, inside which a circle is drawn by touching all its side. Find the area of the circle.
A :
pie
B :
2*pie
C :
3*pie
D :
pie/2
Answer: C
Q. No. :
9
Question :
To do certain work alone 'A' takes 4hrs, 'B' takes 5hrs and 'C' takes 6hrs. How long would A and B together take to do a work which C can do in 9/2 hrs?
A :
2 hrs 10 mins
B :
2 hrs 30 mins
C :
1hr 20 mins
D :
1hr 40 mins
Answer: D
Q. No. :
10
Question :
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:
We divide OPTICAL into two groups : consonants and vowels Consonants : PTCL Vowel : OIA Now vowels has to be together so we consider it as one group Different ways in which letters of the word 'OPTICAL' be arranged = 5!*3! =720
Q. No. :
13
Question :
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
Ways to choose 3 consonants out of 7 consonants =7C3Ways to choose 2 consonants out of 4 consonants =4C2 Ways to arrange 5 letters = 5! So total ways = 7C3 *4C2*5! = 25200
Q. No. :
14
Question :
Mr. X has to build a wall 1000 metres long in 50 days. He employs 56 men but at the end of 27 days finds that only 448 metres are built. How many more men must be employed so that the work may be finished in time?
In 27 days 448 meters are built by 56 men. So in rest 23 days 552 meters will be built by (56*25*552)/(23*448) = 81 men So 81-56 = 25 more men are required
Q. No. :
15
Question :
The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. The present worth is:
Let x be the T.D x*10*2/100=24 x=120 Present worth*10*2/100=120 Present worth=600
Q. No. :
16
Question :
The number of powder packs bought by Gopi is one more than the price, in rupees, of each pack. The amount of Rs 380 which Gopi had, fell short of the required amount. What is the minimum amount by which he might have fallen short?
A :
20
B :
21
C :
40
D :
42
Answer: C
Q. No. :
17
Question :
8 chairs are numbered from 1 to 8. Two women first choose two chairs from those marked 1 to 4 and 3 men selects 3 chairs from the remaining. Find the number of possible arrangements.
A :
288
B :
6720
C :
720
D :
1440
Answer: D
Q. No. :
18
Question :
In Arun opinion, his weight is greater than 65 kg but less than 72 kg. His brother doesnt not agree with Arun and he thinks that Aruns weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arun?
According to Arun his weight can be 66, 67, 68, 69, 70, 71 According to his brother: 61, 62, 63, 64, 65, 66, 67, 68, 69 According to his mother: 68, 67, 66, 65, ....
All are correct, so possible weight: 66, 67, 68 Average = 67 Hence A
Q. No. :
19
Question :
Determine the angle between the two hands of a clock at 15 minutes past 4pm.
A :
40o
B :
37.5o
C :
35o
D :
42o
Answer: B
Q. No. :
20
Question :
50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m3, then the rise in the water level in the tank will be( in cm):
Total volume of water displaced = (4 x 50) m3 = 200 m3. Let in water be x 40*20*x=50*4 x=0.25m= 25cm
Q. No. :
21
Question :
Two solutions of 90% and 97% purity are mixed resulting in 21 litres of mixture of 94% purity. How much is the quantity of the first solution in the resulting mixture?
A :
15 litres
B :
12 litres
C :
9 litres
D :
6 litres
Answer: C
Q. No. :
22
Question :
A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is:
Let time required by the first pipe = x hrs So time taken by second pipe = (x-5) hrs And time taken by third pipe = (x-5-4) = (x-9) hrs Now, The first two pipes operating simultaneously fill the tank in the same
time during which the tank is filled by the third pipe alone So 1/x + 1/(x-5) = 1/(x-9) or x = 15 hrs
Q. No. :
23
Question :
The product of 4 consecutive even numbers is always divisible by
A :
384
B :
192
C :
792
D :
864
Answer: A
Q. No. :
24
Question :
A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:
Short Method: Since clock gains 5sec in 3 mins. So it will gain 100 sec in 60mins (1 hour) So it will gain 900 sec in 9 hours. i.e clock will be 900 sec (15 mins ) fast when actual time is 4 o'clock i.e. clock will show quarter past 4 when actual time is 4.
Actual Method: Suppose clock gains t sec when it shows 4 mins 15 sec. So the actual time should be (75-t/60) minutes past 3 o'clock. So the duration of time in which clock shows quarter past 4 = 8 hrs + (75 - t/60) mins = (550-t/60) minutes
In (550-t/60) minutes clock will gain = 5/3 * (550-t/60) So 5/3 * (550-t/60) = t or t = 900 sec i.e. 15 minutes So actual time will be quarter past 4'oclock- 15 minutes = 4'oclock
Q. No. :
25
Question :
A sphere is cut into 4 identical pieces after it was painted. What is the ratio of the painted area to the unpainted area?
A :
1:1
B :
1:2
C :
2:3
D :
3:2
Answer: A
Q. No. :
26
Question :
The average age of a committee of seven trustees is the same as it was five years ago, a younger man having been substituted for one of them. How much younger was he than the trustee whose place he took?
Let the average age be x Sum of ages = 7x Sum of ages of previous members five year ago = 7x - (y+5) + z - 30 where y and z are ages of new and substituted member 5 years ago. 7x = 7x - y + z -35 or, z - y = 35
Q. No. :
27
Question :
Cask A contains wine and water in the ratio 6:7 and cask B in the ratio 9:4. In what ratio must the contents of the two casks be mixed to give a mixture of wine and water in the ratio 8:5?
A :
1:3
B :
2:3
C :
1:2
D :
None of these
Answer: C
Q. No. :
28
Question :
4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?
Let one men completes work in x days and one women in y days (4*8)/x+(6*8)/y=1 =>4/x+6/y=1/8 and (3*10)/x+(7*10)/y=1 => 3/x+7/y=1/10 On solving y=400 One women completes work on 400 days therefore 10 women completes work in = 400/10 =40 days
Q. No. :
29
Question :
A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is:
A :
1/3
B :
2/3
C :
2/5
D :
3/5
Answer: B
Q. No. :
30
Question :
Of three distinct integers x,y,z. x and yare odd and negative and z is even and positive. Which of the following statements must always be true, if x>y.
Volume of the box = (32 x 20 x 8) m3 = 5120 m3.