Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is:
The product of the first two is 551. So the first two numbers are 19 and 29. The product of the last two is 1073. So the last two numbers are 29 and 37.
Sum of the numbers = 19 + 29 + 37 = 85
Q. No. :
2
Question :
A trader bought 10kg of apples for Rs.405 out of which 1kg of apples were found to be rotten. If he wishes to make a profit of 10%, at what rate should he sell the remaining apples per kg?
A :
Rs 45
B :
Rs 49.50
C :
Rs 50
D :
Rs 51
Answer: B
Q. No. :
3
Question :
In a 200 metres race A beats B by 35 m or 7 seconds. A's time over the course is:
A :
44 sec
B :
47 sec
C :
33 sec
D :
31 sec
Answer: C
Q. No. :
4
Question :
Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is:
A :
10
B :
12
C :
14
D :
16
Answer: C
Q. No. :
5
Question :
A person sells two machines at Rs.396 each. On one he gains 10% and on the other he loses 10% .His profit or loss in the whole transaction is :
Let Cost Price of first and second machine be x and y respectively. He gains 10% profilt on first. So, x(1+10/100) = 396 He loses 10% on first. So, y(1-10/100) = 396 Solving these we get, x = 360 and y = 440
Now Total Cost Price = x + y = 800 Total Selling Price = 2 * 396 = 792 So loss = (CP- SP) = 8 Rs Loss% = (8/800)*100 = 1%
Q. No. :
6
Question :
A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:
Angle traced by hour hand in 5 hrs 10 min. i.e., 31 /6 hrs = ((360/12) x 31/6) º = 155º.
Q. No. :
7
Question :
A secret can be told only 2 persons in 5 minutes .the same person tells to 2 more persons and so on . How long will take to tell it to 768 persons ?
A :
47.5 min
B :
50min
C :
51 min
D :
49 min
Answer: A
Q. No. :
8
Question :
One boy can eat 100 chocolates in half a minute, and another can eat half as many in twice the length of time. How many chocolates can both boys eat in 15 seconds?
A :
62
B :
62.5
C :
63
D :
64
Answer: B
Q. No. :
9
Question :
. In a group of persons travelling in a bus, 6 persons can speak Tamil, 15 can speak Hindi and 6 can speak Gujarati. In that group , none can speak any other language. If 2 persons in the group can speak two languages and one person can speak all the three languages, then how many persons are there in the group ?
A :
21
B :
22
C :
23
D :
24
Answer: C
Q. No. :
10
Question :
There are three departments having students 64,58,24 .In an exam they have to be seated in rooms such that each room has equal number of students and each room has students of one type only (No mixing of departments. Find the minimum number rooms required ?
A :
69
B :
70
C :
71
D :
73
Answer: D
Q. No. :
11
Question :
Given that 10^0.48 = x, 10^0.70 = y and x^z = y^2, then the value of z is close to:
100.48 = x or, log10 x = 0.48 100.70 = y or, log10 y = 0.70 xz = y2 or z log10 x = 2 log10 y or z = 2 * 0.70/0.48 = 2.91
Q. No. :
12
Question :
Argentina had football team of 22 player of which captain is from Brazilian team and goalki from European team. For remaining player they have picked 6 from Argentinean and 14 from European. Now for a team of 11 they must have goalki and captain so out of 9 now they plan to select 3 from Argentinean and 6 from European. Find out number of methods available for it.
A :
160600
B :
160000
C :
160900
D :
160400
Answer: A
Q. No. :
13
Question :
The area of playground is 1600 m2. What is the perimeter?
I. It is a perfect square playground.
II.It costs Rs. 3200 to put a fence around the playground at the rate of Rs. 20 per metre.
A :
I alone sufficient while II alone not sufficient to answer
B :
II alone sufficient while I alone not sufficient to answer
C :
Both I and II are necessary to answer
D :
Either I or II alone sufficient to answer
Answer: D
Q. No. :
14
Question :
. An angry Arjun carried some arrows for fighting with Bheeshm. With half the arrows, he cut down the arrows thrown by Bheeshm on him and with six other arrows he killed the Chariot driver of Bheeshm. With one arrow each he knocked down respectively the Chariot, the flag and the bow of Bheeshm. Finally, with one more than four times the square root of arrows he laid Bheeshm unconscious on an arrow bed. Find the total number of arrows Arjun had
A :
100
B :
121
C :
169
D :
196
Answer: A
Q. No. :
15
Question :
The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
A :
4 year
B :
8 year
C :
10 year
D :
none of these
Answer: A
Q. No. :
16
Question :
An observer 1.6 m tall is 20√3 away from a tower. The angle of elevation from his eye to the top of the tower is 30°. The heights of the tower is:
A :
21.6 m
B :
23.2 m
C :
24.72 m
D :
none of these
Answer: A
Q. No. :
17
Question :
A son and father goes for boating in river upstream . After rowing for 1 mile son notices the hat of his father falling in the river. After 5 min. he tells his father that his hat has fallen. So they turn round and are able to pick the hat at the point from where they began boating after 5min. Tell the speed of river?
A :
5.5 miles/hr
B :
6 miles/hr
C :
6.5 miles/hr
D :
7 miles/hr
Answer: B
Q. No. :
18
Question :
The difference between compound interest and simple interest on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the rate of interest per annum?
Let r be the rate of interest
Compound interest =P(1+r/100)2 - P
=15000(1+r/100)2-15000
Simple Interest =15000*r*2/100
Difference between C.I And S.I=96
ON solving we get r=8
Q. No. :
19
Question :
A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
We may have(1 black and 2 non-black) or (2 black and 1 non-black) or (3 black).
Required number of ways = (3C1 x 6C2) + (3C2 x 6C1) + (3C3)
= (45 + 18 + 1)
= 64.
Q. No. :
20
Question :
Out of a total of 120 musicians in a club , 5% can play all the three instruments- Guitar, violin and Flute. It so happens that the number of musicians who can play any two and only two of the above instruments is 30. The number of musicians who can play the guitar alone is 40. What is the total number of those who can play violin alone or flute alone ?
A :
30
B :
38
C :
44
D :
45
Answer: C
Q. No. :
21
Question :
From a point P on a level ground, the angle of elevation of the top tower is 30º. If the tower is 100 m high, the distance of point P from the foot of the tower is:
A :
149 m
B :
156 m
C :
173 m
D :
200 m
Answer: C
Q. No. :
22
Question :
When I was married 10 years ago my wife is the 6th member of the family. Today my father died and a baby born to me.The average age of my family during my marriage is same as today. What is the age of Father when he died?
A :
68
B :
69
C :
70
D :
71
Answer: C
Q. No. :
23
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?
A :
35
B :
40
C :
45
D :
50
Answer: B
Q. No. :
24
Question :
A man invests some money partly in 9% stock at 96 and partly in 12% stock at 120. To obtain equal dividends from both, he must invest the money in the ratio:
A :
3:4
B :
3:5
C :
4:5
D :
16:15
Answer: D
Q. No. :
25
Question :
Find the value of ? in the equation given below:-
(25)^7.5 x (5)^2.5 ÷ (125)^1.5 = 5^?