If (64)2 – (36)2 = 20 x x, then x = ?
If (64)2 – (36)2 = 20 x x, then x = ?
[A].
[B].
[C].
[D].
Answer: Option D
Explanation:
20 x x = (64 + 36)(64 – 36) = 100 x 28
| x = | 100 x 28 | = 140 |
| 20 |
[B].
[C].
[D].
Answer: Option D
Explanation:
99 = 11 x 9, where 11 and 9 are co-prime.
By hit and trial, we find that 114345 is divisibleby 11 as well as 9. So, it is divisible by 99.
[B].
[C].
[D].
Answer: Option C
Explanation:
There are 6 letters in the given word, out of which there are 3 vowels and 3 consonants.
Let us mark these positions as under:
(1) (2) (3) (4) (5) (6)
Now, 3 vowels can be placed at any of the three places out 4, marked 1, 3, 5.
Number of ways of arranging the vowels = 3P3 = 3! = 6.
Also, the 3 consonants can be arranged at the remaining 3 positions.
Number of ways of these arrangements = 3P3 = 3! = 6.
Total number of ways = (6 x 6) = 36.
[B].
[C].
[D].
Answer: Option D
Explanation:
| Given Exp. = 8988 x | 1 | x | 1 | = | 2247 | = 280.875 |
| 8 | 4 | 8 |
A. 40 Minutes
B. 1 Hour
C. 1 hr 15 Min
D. 1 Hr 30 Min
Explanation:
Speed upstream = 2km/hr.
Speed downstream = 6 km/hr
Speed in stationary water = ½ (6 + 2) km/hr = 4 km/hr
Time is taken to cover 5 km in stationary water
= (1/4 x 5) 1 hr 15 min
[B].
[C].
[D].
Answer: Option C
Explanation:
Let the third number be x.
| Then, first number = 120% of x = | 120x | = | 6x |
| 100 | 5 |
| Second number = 150% of x = | 150x | = | 3x |
| 100 | 2 |
| Ratio of first two numbers = | 6x | : | 3x | = 12x : 15x = 4 : 5. | ||
| 5 | 2 |
[B].
| 13 | 1 | % |
| 3 |
[C].
[D].
Answer: Option C
Explanation:
P.W. = Rs. (2562 – 122) = Rs. 2440.
S.I. on Rs. 2440 for 4 months is Rs. 122.
| Rate = | 100 x 122 | % | = 15%. | |
|