3, 5, 7, 12, 17, 19
Question: 3, 5, 7, 12, 17, 19
[A].19
[B].17
[C].5
[D].12
Answer: Option D
[A].19
[B].17
[C].5
[D].12
Answer: Option D
Explanation:
Each of the numbers is a prime number except 12.
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A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance travelled on foot is:
Question:
A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance travelled on foot is:
[A].14 km [B].
15 km [C].
16 km [D].
17 km Answer: Option C
Explanation:
Let the distance travelled on foot be x km.
Then, distance travelled on bicycle = (61 -x) km.
So, x + (61 -x) = 9 4 9 9x + 4(61 -x) = 9 x 36
5x = 80
x = 16 km.
In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:
Question:
In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:
[A].60 m [B].
40 m [C].
20 m [D].
10 m Answer: Option C
Explanation:
To reach the winning post A will have to cover a distance of (500 – 140)m, i.e., 360 m.
While A covers 3 m, B covers 4 m.
While A covers 360 m, B covers 4 x 360 m = 480 m. 3 Thus, when A reaches the winning post, B covers 480 m and therefore remains 20 m behind.
A wins by 20 m.
A man can row 9 1/3 km/hr in still water and he finds that is thrice as much time to row u p than as to row down the same distance in river. The speed of the current is:________?
A man can row 9 1/3 km/hr in still water and he finds that is thrice as much time to row u p than as to row down the same distance in river. The speed of the current is:________?A. 3 1/3 km/hr
B. 3 1/9 km/hr
C. 1 ¼ km/hr
D. 4 2/3 km/hr
Explanation:
Let Speed upstream = x km/hr
Speed downstream = 3x km/hr
Speed in still water = ½ (x+3x) km/hr = 2x km/hr
Speed of current = ½ (3x-x) km/hr = x km/hr
2x = 28/3 or x = 14/3 = 4 2/3 km/hrTwo dice are tossed. The probability that the total score is a prime number is:
Question: Two dice are tossed. The probability that the total score is a prime number is:
[A].1 6 [B].
5 12 [C].
1 2 [D].
7 9 Answer: Option B
Explanation:
Clearly, n(S) = (6 x 6) = 36.
Let E = Event that the sum is a prime number.
Then E = { (1, 1), (1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (4, 1), (4, 3),
(5, 2), (5, 6), (6, 1), (6, 5) }n(E) = 15.
P(E) = n(E) = 15 = 5 . n(S) 36 12 4, 6, 8, 9, 10, 11, 12
Question:
4, 6, 8, 9, 10, 11, 12
[A].10 [B].
11 [C].
12 [D].
9 Answer: Option B
Explanation:
Each number is a composite number except 11.
If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?
Question:
If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?
[A].1 [B].
7 2 [C].
7 [D].
49 Answer: Option C
Explanation:
Let the required number days be x.
Less spiders, More days (Indirect Proportion)
Less webs, Less days (Direct Proportion)
Spiders 1 : 7 :: 7 : x Webs 7 : 1 1 x 7 x x = 7 x 1 x 7
x = 7.