Question : When two circles of radii $r_1$ and $r_2$ have their centres at a distance $d$ apart, the length of the common transverse tangent is:

Option 1: $\sqrt{d^2-\left(r_1-r_2\right)^2}$

Option 2: $\sqrt{d^2+\left(r_1-r_2\right)^2}$

Option 3: $\sqrt{d-\left(r_1-r_2\right)^2}$

Option 4: $\sqrt{d^2-\left(r_1+r_2\right)^2}$

Question : Directions: Select the option that is related to the fifth letter cluster in the same way as the second letter cluster is related to the first letter cluster and the fourth letter cluster is related to the third letter cluster.
IDEOLOGY : YGILIYDC :: HARDWARE : YRUWDRUH :: ISOLATED : ?

Option 1: XCVFWIA

Option 2: BUSIMAQS

Option 3: JOKLERD

Option 4: DYTULISC

Question : Who established the Indian Civil Liberties Union in 1936 ?

Option 1: Subhash Chandra Bose

Option 2: Bal Gangadhar Tilak

Option 3: Jawahar Lal Nehru

Option 4: Rajendra Prasad

Question : Direction: Arrange the following words in a meaningful order.

1. Brother

2. Husband

3. Father

4. Son

5. Son-in-law

Option 1: 3, 2, 1, 5, 4

Option 2: 4, 1, 2, 5, 3

Option 3: 4, 1, 5, 2, 3

Option 4: 3, 1, 4, 2, 5

Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".

The Chairman appointed her (as a secretary) as she is efficient.

(1) a secretary

(2) as secretary 

(3) secretary

(4) No Improvement

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Question : In which city of Assam is the Tea Festival celebrated every year?

Option 1: Guwahati

Option 2: Silchar

Option 3: Jorhat

Option 4: Dibrugarh

Question : The table given below shows the production of bike and truck by five companies.

What is the ratio of the production of truck by company H and I together to the production bike by company J and K together?

Option 1: 14 : 17

Option 2: 15 : 14

Option 3: 14 : 19

Option 4: 14 : 15

Question : Directions: Select the option that represents the letters that will complete the letter series when sequentially placed from left to right in the blanks below.
MN _ _ SM _ PO _ _ N _ OSM _ P _ S

Option 1: PONSMPNO

Option 2: PNOSMPNO

Option 3: PONMSPNO

Option 4: PONSNOMP

Question : A watch dealer pays a 10% customs duty on a watch which costs Rs. 500 abroad. He desires to make a profit of 20% after giving a discount of 25% to the buyer. The marked price should be:

Option 1: Rs. 950

Option 2: Rs. 800

Option 3: Rs. 880

Option 4: Rs. 660

Question : Comprehension:
Read the following passage and answer the questions given after it.
The blowout of an Oil India Limited (OIL) gas well in Assam’s Tinsukia district last week is causing extensive damage to biodiversity and wildlife in the region, including the endangered hoolock gibbons and Gangetic dolphins.
Baghjan, where the gas well blowout occurred on 27 May, is close to the Dibru-Saikhowa National Park, the Maguri-Motapung wetlands, and the forest villages of Barekuri which are habitat to the hoolock gibbon. Uncontrollable gas flow is continuing from the gas well. “What we are seeing is complete horror. Condensed oil is leaking continuously. The Maguri-Motapung wetlands (an important bird and biodiversity area) are very badly affected. There is a thick layer of crude oil on the water. Fish are dying and some cattle that graze in the adjacent wetlands are also dead,” said Mridupaban Phukon, a student and wildlife activist.
“We have been informed by people in Barekuri villages that condensed oil coating leaves have started affecting the hoolock gibbon habitat. If not contained immediately the wetlands and national park will be devastated,” he said. Around 650 families have been evacuated from the affected areas and continue to be camped in three relief camps. “I visited the area on Sunday but it was barricaded. I could see the damage everywhere. Deadfish were floating and the vegetation was brown now. One Gangetic dolphin died soon after the leak. Usually, the Maguri jheel is rich with birdlife, but I could hardly spot any birds that day. I appeal for immediate help,” said Nabamita Ray, a doctor and wildlife enthusiast. Oil India’s crisis management team (CMT) members have started pumping water through the casing valve. Water is pumped continuously through the valve into the wellhead. Oil India has also contacted global experts to control the blowout. The water pumps are being installed in the nearby river (source of water) and pipeline-laying work is in progress. A blowout is the uncontrolled release of crude oil or natural gas from an oil well or gas well after pressure control systems have failed. Dibru-Saikhowa has recorded over 40 mammals, 500 species of birds, 104 fish species, 105 butterfly species and 680 types of plants. It harbours tigers, elephants, wild buffalos, leopards, hoolock gibbons, capped langurs, slow lorises, and Gangetic dolphins, besides critically endangered bird species such as the Bengal florican, white-winged duck, greater adjutant stork, white-rumped vulture, slender-billed vulture, and the very rare and endemic black-breasted parrotbill. All these are facing threats from the uncontrolled flow of oil.
Question:
Match the words (a, b, c) with their meaning (1, 2, 3).
a. extensive 1. adjoining
b. adjacent 2. thickened
c. condensed 3. widespread

Option 1: a-3, b-2, c-1

Option 2: a-1, b-3, c-2

Option 3: a-2, b-3, c-1

Option 4: a-3, b-1, c-2