1
GATE CE 2022 Set 2
Numerical
+2
-0.67

The activities of a project are given in the following table along with their durations and dependency.

Activities Duration (day) Depends on
A 10 -
B 12 -
C 15 A
D 14 B
E 10 B, C

The total float of the activity E (in day) is _________. (in integer)

Your input ____
2
GATE CE 2022 Set 2
MCQ (Single Correct Answer)
+1
-0.33

Match all the possible combinations between Column X (Cement compounds) and Column Y (Cement properties) :

Column X Column Y
(i) $${C_3}S$$ (P) Early age strength
(ii) $${C_2}S$$ (Q) Later age strength
(iii) $${C_3}A$$ (R) Flash setting
(S) Highest heat of hydration
(T) Lowest heat of hydration

Which one of the following combinations is correct?

A
(i) - (P), (ii) - (Q) and (T), (iii) - (R) and (S)
B
(i) - (Q) and (T), (ii) - (P) and (S), (iii) - (R)
C
(i) - (P), (ii) - (Q) and (R), (iii) - (T)
D
(i) - (T), (ii) - (S), (iii) - (P) and (Q)
3
GATE CE 2022 Set 2
MCQ (More than One Correct Answer)
+1
-0

Let y be a non-zero vector of size 2022 $$\times$$ 1. Which of the following statements is/are TRUE?

A
yyT is symmetric matrix
B
yyT is invertible
C
yyT has a rank of 2022
D
yTy is an eigen value of yyT.
4
GATE CE 2022 Set 2
Numerical
+2
-0

A pair of six-faced dice is rolled twice. The probability that the sum of the outcomes in each roll equals 4 in exactly two of the three attempts is _________ (round off to three decimal places).

Your input ____
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