7 spider makes 7 webs in 7 days 1 spider makes 7 webs in 7*7 days 1 spider makes 1 webs in 7*7/7 days = 7 days
Q. No. :
2
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. :
3
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. :
4
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?
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. :
6
Question :
A set of 7 pens, 9 erasers and 11 sharpeners costs Rs 79 and 2 pens, 5 erasers and 8 sharpeners cost Rs 42. Find the total cost of one sharpeners, one eraser and one pen.
A :
Rs 9
B :
Rs 10
C :
Rs 11
D :
Rs 12
Answer: A
Q. No. :
7
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. :
8
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. :
9
Question :
Water flows out at the rate of 10 m/minute from a cylindrical pipe of diameter 5 mm. find the time taken to fill a conical tank whose diameter at the base is 40cm and depth is 24 cm.
A :
153.6 minutes
B :
51.2 minutes
C :
12.8 minutes
D :
128 minutes
Answer: B
Q. No. :
10
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. :
11
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. :
12
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.
A :
(x+y+z) is even and positive
B :
(x+y+z) is even and negative
C :
(x-y+z) is even and positive
D :
(x-y+z) is odd and positive
Answer: C
Q. No. :
13
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. :
14
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. :
15
Question :
A father of 6 children takes 2 of his children at a time to a circus as often as he can, without taking the same pair of children together more than once. How many times does the father go to the circus?
A :
10
B :
12
C :
15
D :
20
Answer: C
Q. No. :
16
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. :
17
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. :
18
Question :
How many triangles can be formed by joining 12 points, 7 of which are collinear?
Number of triangles = 12 C3 - 7 C3 = 12*11*10/6 - 7*6*5/6 =220 - 35 = 185
Q. No. :
19
Question :
The product of 4 consecutive even numbers is always divisible by
A :
384
B :
192
C :
792
D :
864
Answer: A
Q. No. :
20
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. :
21
Question :
Six men A,B,C,D,E,F agree with a seventh man G to provide a sum of money among them. A,B,C,D,E,F are to be subscribe Rs 10 each, and G is to pay Rs 3 more than the average of the seven. What is the whole sum to be provided?
A :
Rs 73.50
B :
Rs. 74
C :
Rs. 73
D :
Rs 72.50
Answer: A
Q. No. :
22
Question :
In how many ways can you put 9 coins of different values into 2 packets?
A :
2
B :
9
C :
92
D :
29
Answer: D
Q. No. :
23
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. :
24
Question :
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. :
25
Question :
A clock gains 5 minutes in 24 hours. It was set right at 10 am on Monday. What will be the true time when the clock indicates 10:30 am on the next Sunday?
A :
10 am
B :
11 am
C :
25 minutes past 10 am
D :
5 minutes to 11 am
Answer: A
Q. No. :
26
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:
Suppose number of students in A and B are x and y respectively According to question, x - 10 = y + 10 or x - y = 20 ............. (i)
and x + 20 = 2(y - 20) or 2y - x = 60 ............ (ii)
Solving (i) and (ii) we get, x = 100 Ans
Q. No. :
27
Question :
A trader allows a discount of 5% to his customers. What price should he mark on an article, the cost price of which is Rs 800 so as to make a clear profit of 25% on his outlay?
CP = 800 Profit % = 25% SP = 800 + 800 * 25/100 = 1000 Now Discount = 5% Let MP = x x-x*5/100 = 1000 or x = 1053 Rs.
Q. No. :
28
Question :
A is thrice as good a workman as B and so takes 60 days less than B for doing a job. Find the time in which they can do it together.
A :
20 days
B :
43/2 days
C :
45/2 days
D :
95/4 days
Answer: C
Q. No. :
29
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. :
30
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