SSC CGL Tier 1 Mock Test - 9 - SSC CGL MCQ

The triangles that we get from the given figure are,

BCG, BGH, BCH, BDH, BDG, BDC, ABD, AFD, AED, AEB, AFB, DEF, DBF, EBF and DFH

Thus we get 15 triangles.

U → 21 → 2 + 1 → 3
N → 14 → 1 + 4 → 5
I → 09 → 0 + 9 → 9
T → 20 → 2 + 0 → 2
Y → 25 → 2 + 5 → 7
Therefore,
M → 13 → 1 + 3 → 4
A → 01 → 0 + 1 → 1
N → 14 → 1 + 4 → 5
G → 07 → 0 + 7 → 7
O → 15 → 1 + 5 → 6

The question states that if the building has more than three floors then it has lifted. Then the buildings, which have to say five floors they have a second floor also, thus the first option is wrong. 2^nd is the right answer. The third option is wrong, using the same logic as in the case of the first option. The 4^th cannot be definitely true, because had it been the case, then even the building with two floors would have had lifts.

In this question, we show that the figure is given below –

We know that every square is a rectangle but every rectangle is not a square.

After observation the rectangles are –

ABDC, AELI, AFKI, ABJI, AEGC, AFHC, EFKL, EBJL, EBDG, EFHG, FBKJ, FBDH,

DJKH, DJLG, DJIC, HKLG, HKIC and CGLI.

So the total number of rectangles is 18

17th June, 1998 = 1997 years + Period from 1.1.1998 to 17.6.1998
Odd days in 1600 years = 0
Odd days in 300 years = (5 × 3) = 1
97 years has 24 leap years +73 ordinary years.
Number of odd days in 97 years = (24 x 2 + 73) = 121 = 2 odd days
Jan Feb March April May June
31+ 28 +31 +30+31+ 17 = 168 days = 24 weeks = 0 odd day
Total number of odd days = (0+1+2+0) = 3
It was wednesday on 17 th June 1998. 

Gandak, Mahananda and Kosi are the south-flowing rivers of Bihar. Son is the north-flowing river of Bihar. Son river originates from the Amarkantak plateau in the Anuppur district of Madhya Pradesh.

• Son River flows through Shahdol district in Madhya Pradesh state before turning sharply eastward where it encounters the southwest-northeast Kaimur Range.
• It flows through Madhya Pradesh, Chhatisgarh, Uttar Pradesh, Jharkhand, and finally joins Ganga in Bihar near Patna.
• Ghaghra, Johilla, Chhoti Mahanadi, Gopad, Rihand, Kanhar, and North Koel are the tributaries of the Son river.
• The Bansagar Dam in Madhya Pradesh is also on the Son river.
• The Mahananda River is a transboundary river that flows through the Indian states of Bihar and West Bengal, and Bangladesh. It is an important tributary of the Ganges.
  

The correct answer is Benzoic acid.

Key Points

• The weakest acid among the following is benzoic acid.
• Benzoic acid is an aromatic carboxylic acid with the chemical formula C₆H₅COOH.
• This compound is a weak acid that is known to naturally occur in many plants and also in gum benzoin.
• Salts of this weak acid are widely used in the food industry as preservatives.
• It can be noted that benzoic acid is also referred to as benzene carboxylic acid and carboxy benzene.
• Due to the presence of an aromatic system in the compound, benzoic acid is known to possess a faintly pleasant odour.

Additional Information

• A substance will be known as an acid if it gives out positive hydrogen ions, that is, H+ ions when dissolved in water.
  • An acidic compound donates a proton.
  • The acid is regarded as stable if and only if its conjugate base is also stable.
• A base is a substance that accepts hydrogen ions.
  • When a base is dissolved in water, the balance between hydrogen ions and hydroxide ions shifts the opposite way.
  • Because the base "soaks up" hydrogen ions, the result is a solution with more hydroxide ions than hydrogen ions.
  • This kind of solution is alkaline.

Permanent Settlement was introduced by Lord Cornwallis. Permanent Settlement is also known as Permanent Settlement of Bengal. It was an agreement between Bengali Landlords and East India Company to fix revenues to be raised from the agriculture activity and from other productivity in the country.

India's fiscal deficit for the first four months of the fiscal year 2023-24 reached 33.9% of the annual target.

Israel, a Middle Eastern country on the Mediterranean Sea, is regarded by Jews, Christians, and Muslims as the biblical Holy Land. Its most sacred sites are in Jerusalem. Within its Old City, the Temple Mount complex includes the Dome of the Rock shrine, the historic Western Wall, Al-Aqsa Mosque, and the Church of the Holy Sepulchre. Israel's financial hub, Tel Aviv, is known for its Bauhaus architecture and beaches.

The Israeli New Shekel (ILS) is the currency of the State of Israel and is issued by the Bank of Israel. The name “Shekel” derives from an ancient unit of weight of approximately one ounce or 12 grams. The currency is fully convertible and is traded on currency futures contracts in the foreign exchange market.

The capital city of Paraguay is Asuncion. The city is located on the left bank of the Paraguay River, it is also the largest city in the country.

The presence of glucose in the urine is called glycosuria or glucosuria. Glucosuria in the urine results from the glomerular filtration of more glucose than the renal tubule can absorb. It occurs in all normal individuals in amounts up to 25 mg/dl (1–5).

In general, Glycosuria is the excretion of glucose into the urine.

When a water drop falls on the surface of the oil, it will be in spherical shape because two forces come into play i.e, the cohesion forces within the water molecules and the other adhesion forces between oil and water. As we know that oil is hydrophobic in nature, the adhesive forces between oil and water are much weaker compared to the cohesive between water and water. Therefore, the water drop on the surface of oil has a tendency to maintain its spherical shape in order to minimize the surface energy.

Given:

In ΔPQR,

PQ = 15 cm, QS = 5 cm, SR = 8 cm

PS is the bisector of ∠P.

According to the question, 

PS is the angle bisector of ∠P.

So, According to the angle bisector theorem

PR

∴ PR is 24 cm.

Given:

Initial ratio of acid and base = 17 : 3

Final mixture of acid and base = 1 : 1

Calculation:

Let us take the acid 17x litres and 3x litres

Total mixture = 20x

let the drawn part of the mixture be y

According to the question

Acid in (20 - x) litres mixture = (17/20) × (20x - y)

⇒ 17x - 17y/20 = (340x - 17y)/20      ----(i)

on adding x litres of base, base in mixture = (3/20) × (20x - y) + y

⇒ 3x - 3y/20 + y = (60x + 17y)/20      ----(ii)

the ratio of resultant mixture = 1 : 1

equating the (I) and (ii) in the ratio 1 : 1

(340x - 17y)/20  × 1 = 1 ×  (60x + 17y)/20

340x - 17y = 60x + 17y 

34y = 280x

y/x = 280/34 ⇒ 140/17

the required ratio = (140/17)/20 = 140/340 ⇒ 7/17

∴ 7/17 fraction of the mixture must be drawn off and substituted by the base so that the ratio of acid and base in the resultant mixture in the solution becomes  1 : 1
 Shortcut Trick

Let us remove some quantity of the mixture from the solution.

After that

                   Acid         Base

Initial ratio     17    :       3

Final ratio       1    :       1

We are adding the Base so the quantity of Acid will remain the same.

So multiply the second ratio by 17.

                   Acid         Base

Initial ratio     17    :       3

Final ratio     17    :      17

So Base added = 17 - 3 = 14 units

Here note that the initial quantity of mixture = Final quantity of mixture

So

Initial quantity of mixture = 17 + 17 = 34 units

the required ratio = 14/34 = 7/17

Given,

As we know,

From equation (i) and (ii), we get

= 4

Given:

Discount = 35%

If, there was no discount, Raj would have paid Rs. 238 more

SP = MP

SP = Selling price

MP = Marked price

D = Discount

Let the M.P be 100x

S.P after 35% discount = 100x × 

⇒ 65 x

Now, According to question,

⇒ 35 x = Rs. 238

⇒ 65 x = Rs. 238 × 

⇒ Rs. 34 × 13

⇒ Rs. 442

∴ Raj paid Rs. 442 for the chair.

Given,

Squaring on both sides

Given:
a⁴ + b⁴ = a²b²
As we know,
x³ + y³ = (x + y)(x² + y² - xy)
a⁴ + b⁴ = a²b²
a⁴ + b⁴ - a²b² = 0...... (1)
Now,
a⁶ + b⁶
⇒ (a²)³ + (b²)³
⇒ (a² + b²) (a⁴ - a²b² + b⁴)
From equation (1),
⇒ (a² + b²) × 0 = 0
.. The value of Expression is 0.

Let, Speed of Boat = A

and Speed of water = B

so downstream speed, A + B = 50 km/hr....... (1)

and upstream speed A - B = 20 km/hr.... (2)

on adding equation (1) and (2)

(A + B + A - B) = 70 km/hr

2A = 70

so speed of boat in still water (A) = 35 km/hr

x² + y² = (asinθ – bcosθ)²(acosθ – b + sinθ)² = a²sin² + b²cos²θ - 2absinθcosθ + a²cos²θ + b²sin²θ + 2absinθcosθ
= a²(sin²θ + cos²θ) + b²(cos²θ + sin²θ)
= a² + b²[sin²θ + cos²θ] = 1

The last quotient is 2 and the last Divisor is 105 .
So, last Dividend = 105 x 2 = 210
210 will also be the second last divisor with 8 as quotient and 105 as remainder.
Thereore, second last dividend = 210 x 8 + 105 = 1785
Now, 1785 will be the first divisor with 1 as quotient and 210 being remainder,
The other number = 1785 x 1 + 210 = 1995
So, the numbers are 1785 and 1995
Required sum = 1785 + 1995 = 3780

2 sin²θ + 3cos²θ
The minimum value is 2,
[ If x sin²θ + y cos²θ, If x > y, they x will be always the maximum value and y is minimum if y > x, vice versa will happen] 

The correct answer is 'DECAB'.

Key Points

• The given question is an example of a Para Jumble.
• We know that the first statement of a para jumbled question is usually an independent general statement, a noun, a universal fact, starting of an incident, or it starts with 'most' or 'once'.
• The correct sequence to form a coherent paragraph is: DECAB.
  • D. The Dead Sea is one of the saltiest bodies of water on the planet, with about ten times the salt content of typical saltwater.
  • E. This is because water flows into the Dead Sea from a single primary tributary, the Jordan River.
  • C. It is then unable to exit the lake and is forced to evaporate.
  • A. Because of the region's scorching heat and aridity, a considerable amount of water evaporates.
  • B. As a result, the salt and other minerals become increasingly concentrated.
• This arrangement also makes sense. It begins by stating the uniqueness of the Dead Sea's saltiness (D) and then explains the reason behind this high salt content (E). Subsequently, it describes the inability of water to exit and the subsequent evaporation (C), which is due to the extreme heat and aridity of the region (A).
• Finally, it concludes by linking the consequence of water evaporation to the increased concentration of salt and minerals (B). This sequence creates a logical flow of information, explaining the characteristics and factors contributing to the Dead Sea's high salinity. 
• Thus, the correct answer is Option 1.
   

Correct Answer: The Dead Sea is one of the saltiest bodies of water on the planet, with about ten times the salt content of typical saltwater. This is because water flows into the Dead Sea from a single primary tributary, the Jordan River. It is then unable to exit the lake and is forced to evaporate. Because of the region's scorching heat and aridity, a considerable amount of water evaporates. As a result, the salt and other minerals become increasingly concentrated.

Namita thanked her and expressed her (5) gratitude.

Gratitude means 'the feeling of being grateful or of wanting to give your thanks to somebody'.

Example: He smiled at them with gratitude.

Namita did not have enough cash. She did not (1) have a credit card either.

We know that after 'did' the base form of the verb is used. Here, 'have' is the base form of the verb. It means 'to own or to hold something; to possess'.

Example: Dogs have better personalities than cats.

The most appropriate option to fill in blank no. (2) is:

A: trouble

The sentence would then read: "She found herself in trouble."

The error lies in Part (B) of the sentence.

The Correct Sentence: Although she was late, she stopped on the way to have lunch with her family.

In a sentence, the use of the conjunction 'but' is incorrect. The conjunction 'Although' is used to express two contrary qualities or actions of a person. Although is never followed by 'but.'

For example: Although he was late, he stopped to buy a sandwich. 

Therefore, the use of 'but' in Part (B) of the sentence should be removed.

Cluster = a group of similar things or people positioned or occurring closely together.

Assemblage = a collection or gathering of things or people.

as the meaning of "Cluster" and "Assemblage" is the same.

The correct word suitable to fill in the blank space is the reply.

Reply- Say something in response to something someone has said.

Behavior means- The way in which one acts or conducts oneself, especially towards others.

Quiz- A test of knowledge, especially as a competition between individuals or teams as a form of entertainment.

Request- An act of asking politely or formally for something.