4, 6, 8, 9, 10, 11, 12
4, 6, 8, 9, 10, 11, 12
[A].
[B].
[C].
[D].
Answer: Option B
Explanation:
Each number is a composite number except 11.
[B].
[C].
[D].
Answer: Option B
Explanation:
Each number is a composite number except 11.
[B].
[C].
[D].
Answer: Option A
Explanation:
Let Sn = (1 + 2 + 3 + … + 45)
This is an A.P. in which a = 1, d = 1, n = 45 and l = 45
| Sn = | n | (a + l) | = | 45 | x (1 + 45) = (45 x 23) = 1035 | 
| 2 | 2 | 
Required sum = 1035.
[B].
[C].
[D].
Answer: Option D
Explanation:
Let the required number of days be x.
Less men, More days (Indirect Proportion)
27 : 36 :: 18 : x 27 x x = 36 x 18
| x = | 36 x 18 | 
| 27 | 
x = 24.
[B].
| 7 | 
| 2 | 
[C].
[D].
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.
[B].
[C].
[D].
Answer: Option A
Explanation:
| 587 x 999 | = 587 x (1000 – 1) | 
| = 587 x 1000 – 587 x 1 | |
| = 587000 – 587 | |
| = 586413. | 
[B].
[C].
[D].
Answer: Option A
Explanation:
 4 | x            z = 6 x 1 + 4  = 10
 ———–
 5 | y -2         y = 5 x z + 3  = 5 x 10 + 3  = 53
 ———–
 6 | z – 3        x = 4 x y + 2  = 4 x 53 + 2  = 214
 ———–
   | 1 – 4
Hence, required number = 214.
[B].
[C].
[D].
Answer: Option B
Explanation:
                             4 x 162 = 648. Sum of decimal places = 6.
So, 0.04 x 0.0162 = 0.000648 = 6.48 x 10-4