Aptitude - Simplification
11.
20 + 8 x 0.520 − p = 12
Answer
Given expression : 20 + 420 − p = 12
∴ 240 − 12p = 24 ⇒ 12p = (240 − 24) = 216
⇒ p = 18
Answer :
Option CExplanation :
Given expression : 20 + 420 − p = 12
∴ 240 − 12p = 24 ⇒ 12p = (240 − 24) = 216
⇒ p = 18
12.
9 − 129 of 3311 ÷ 517 of 79 =
Answer
Given expression = 9 − 119 of 3611 ÷ 367 of 79 = 9 − 4 ÷ 4 = 9 − 1 = 8
Answer :
Option BExplanation :
Given expression = 9 − 119 of 3611 ÷ 367 of 79 = 9 − 4 ÷ 4 = 9 − 1 = 8
13.
If a + b + c = 11 and ab + bc + ca = 20, then (a3 + b3 + c3 − 3abc) =
Answer
(a3 + b3 + c3 − 3abc)
= (a + b + c)( a2 + b2 + c2 − ab − bc − ca)
= (a + b + c)[(a + b + c)2 − 3(ab + bc + ca)]
= 11 x [(11)2 − 3 x 20] = 11 x (121 − 60) = 11 x 61 = 671
Answer :
Option CExplanation :
(a3 + b3 + c3 − 3abc)
= (a + b + c)( a2 + b2 + c2 − ab − bc − ca)
= (a + b + c)[(a + b + c)2 − 3(ab + bc + ca)]
= 11 x [(11)2 − 3 x 20] = 11 x (121 − 60) = 11 x 61 = 671
14.
11 + 11 + 1p = 2, then p =
Answer
11 + 11 + 1p = 2
11 + p1 + p = 2
⇒ (p + 1)(2p + 1) = 2
⇒ p + 1 = 4p + 2 ⇒ 3p = −1
⇒ p = −13
Answer :
Option AExplanation :
11 + 11 + 1p = 2
11 + p1 + p = 2
⇒ (p + 1)(2p + 1) = 2
⇒ p + 1 = 4p + 2 ⇒ 3p = −1
⇒ p = −13
15.
How many 18's are there in 3712?
Answer
Reqd. number = 752 ÷ 18 =
752 x 8 
= 300
Answer :
Option AExplanation :
Reqd. number = 752 ÷ 18 =
752 x 8 = 300 Jump to page number :