The Ministry of Defence (MoD) has initiated a project to create an interactive virtual museum of the country’s Gallantry award winners. MoD will implement the project in partnership with which of the following?

For any integers a and b, and positive integer n, consider the following statement: Statement: 1 If a ≡ b mod n and c ≡ d mod n then a + c ≡ b + d mod n. Statement: 2 If a ≡ b mod n, and c is a positive integer, then ca ≡ cb mod cn Statement: 3 If ab ≡ ac mod n and if gcd(a, n) = 1, then we have b ≡ c mod n. Which of the following statement is/are correct.

A

(1) and (2)

B

(1) and (3)

C

Only (2)

D

(1), (2) & (3)

Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the number of students who went to the museum by car. If the ratio of students traveled by three different modes i.e. bus, train and car is 5 ∶ 14 ∶ 8? I. Number of male students who went to the museum is 45 more than the number of female students who went to the museum. All the female went to the museum by train only and 30 males went by train. II. Total males who went to museum by bus and car is 195.

A

If the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.

B

If the data in statement II alone is sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.

C

If the data either in statement I alone or in statement II alone is sufficient to answer the question.

D

If the data even in both the statements I and II together are not sufficient to answer the question.

E

If the data in both statements I and II together are needed to answer the question.

Which among the following ministers has inaugurated an interactive Virtual Museum hosted by the Gallantry Awards portal, on 20 January 2022?

A

Piyush Goyal

B

Rajnath Singh

C

Amit Shah

D

Ajay Bhatt

Defence Minister Rajnath Singh has approved increasing the funding to MSMEs and startups under the Technology Development Fund (TDF) scheme of the Ministry of Defence (MoD). What is the new upper limit as announced by the MoD?

A

Rs.10 crore

B

Rs. 50 crore

C

Rs. 25 crore

D

Rs. 30 crore

In August 2021, Ministry of Defence (MoD) has concluded a contract with Mahindra Defence Systems Limited (MDSL) for procurement of how many Integrated Anti-Submarine Warfare (ASW) Defence Suites (IADS)?

A

10

B

12

C

14

D

16

E

18

In a school, a Science project has been assigned to three students Rajat, Rohan, and Bishal and it was told that they should work together on that project. Working alone Rohan can finish the project in 20 days, it is also given that if Rajat and Bishal work on the project they will take 9 days to complete the project. Bishal alone can complete the project in 15 days. Rohan started working on the project from Monday but after 8 days he left and after that Rajat and Bishal started working on it but Bishal also left 6 days before completion of the work and Rajat completed the remaining project, in how many days will the project be completed and on which day will it be completed?

A

17 days, Thursday

B

15 days, Tuesday

C

16 days, Wednesday

D

18 days, Friday

E

14 days, Monday

Which among the following is not correctly matched? Rani Mahal Museum, Jhansi - 1971 State Museum, Lucknow - 1865 Government Bauddha Museum, Gorakhpur - 1986 Sarnath Museum, Sarnath - 1904

A

Statement III

B

Statement I

C

Statement II

D

Statement IV

Which of the following pairs is/are correctly matched? Sr. No. Place Museum 1. Kolkata Nehru Museum 2. Ahemdabad Calico Museum 3. Mumbai Salar Jung 4. Delhi Ashutosh Museum

A

Both 1 and 2

B

Only 2

C

Only 3

D

Only 3 and 4

Which of the following departments comes under the Ministry of Defence? Department of Defence Department of Defence Production Department of Defence Research & Development Department of Border Management

A

Only 1 and 2

B

1, 2 and 3

C

2, 3 and 4

D

1, 2, 3 and 4

Consider the following pairs: Programme/Project Ministry 1. Drought-Prone Area Programme Ministry of Agriculture 2. Desert Development Programme Ministry of Environment and Forests 3. National Watershed Development Project for Rainfed Areas Ministry of Rural Development Which of the above pairs is/are correctly matched?

A

1 and 2 only

B

3 only

C

1, 2 and 3

D

None

The Ministry of Defence (MoD) has initiated a project to create an interactive virtual museum of the country’s Gallantry award winners. MoD will implement the project in partnership with which of the following?

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