[B].
[C].
[D].
Answer: Option C
Explanation:
Go on multiplying the number by 2 and adding 1 to it to get the next number.
So, 27 is wrong.
[B].
[C].
[D].
Answer: Option B
Explanation:
| Speed of the train relative to man | = (63 – 3) km/hr | |||||||
| = 60 km/hr | ||||||||
|
||||||||
|
||||||||
| Time taken to pass the man |
|
|||||||
| = 30 sec. |
[B].
| 36 | 2 |
| 3 |
[C].
| 37 | 1 |
| 2 |
[D].
Answer: Option D
Explanation:
Let distance = x km and usual rate = y kmph.
| Then, | x | – | x | = | 40 | 2y(y + 3) = 9x ….(i) |
| y | y + 3 | 60 |
| And, | x | – | x | = | 40 | y(y – 2) = 3x ….(ii) |
| y -2 | y | 60 |
On dividing (i) by (ii), we get: x = 40.
[B].
[C].
[D].
Answer: Option C
Explanation:
| 107 x 107 + 93 x 93 | = (107)2 + (93)2 |
| = (100 + 7)2 + (100 – 7)2 | |
| = 2 x [(100)2 + 72] [Ref: (a + b)2 + (a – b)2 = 2(a2 + b2)] | |
| = 20098 |
[B].
[C].
[D].
Answer: Option B
Explanation:
Each number is the proceeding number multiplied by -2.
So, the required number is -128.
[B].
[C].
[D].
Answer: Option C
Explanation:
Since first and second varieties are mixed in equal proportions.
| So, their average price = Rs. | 126 + 135 | = Rs. 130.50 | ||
| 2 |
So, the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say, Rs. x per kg in the ratio 2 : 2, i.e., 1 : 1. We have to find x.
By the rule of alligation, we have:
|
Cost of 1 kg of 1st kind Cost of 1 kg tea of 2nd kind |
||
| Rs. 130.50 | Mean Price Rs. 153 |
Rs. x |
| (x – 153) | 22.50 | |
| x – 153 | = 1 | |
| 22.50 |
x – 153 = 22.50
x = 175.50
[B].
[C].
[D].
Answer: Option C
Explanation:
The word ‘LEADING’ has 7 different letters.
When the vowels EAI are always together, they can be supposed to form one letter.
Then, we have to arrange the letters LNDG (EAI).
Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways.
The vowels (EAI) can be arranged among themselves in 3! = 6 ways.
Required number of ways = (120 x 6) = 720.
Video Explanation: https://youtu.be/WCEF3iW3H2c