GATE BM 2026 Question Paper (14-Feb-2026) (Shift 2)

Question 1

The team ______ more than 300 runs in 20 overs ___________ rains. However, some players needed to improve their batting skills.'Choose the option with the correct sequence of words to fill the blanks.

Accepted Answer

scored; despite

Answer

score; despite

Answer

scoring; instead of

Answer

scoring; in spite of

Question 2

If a positive real $x$ satisfies the following equation$$\log_2 x + \log_{\sqrt{2}} x = 48,$$then the value of $x$ is _________________

Accepted Answer

$2^{16}$

Answer

$4^{16}$

Answer

$2^{14}$

Answer

$4^{14}$

Question 3

The next figure (indicated by '?') in the sequence is

Accepted Answer

""

Answer

Answer

Answer

Question 4

All the mangoes in the basket are good.'If the above statement is false, then which one of the following statements is necessarily true?

Accepted Answer

There exists at least one mango in the basket that is not good.

Answer

All the mangoes in the basket are not good.

Answer

No mango in the basket is good.

Answer

In the basket, some of the mangoes are good and some are not good.

Question 5

Consider the following statements about four numbers:
(S1) The average of the four numbers is 25
(S2) Each number is at most 40
(S3) Each number is at least 20
Choose the option that is necessarily correct.

Accepted Answer

(S1) and (S3) together imply (S2)

Answer

(S1) and (S2) together imply (S3)

Answer

(S2) and (S3) together imply (S1)

Answer

(S1) implies (S3)