SSC MTS Mock Test - 7 - SSC MTS / SSC GD MCQ

Analysis of the graph: From the graph it is clear that

1. The amount of exports of Company X (in crore Rs.) in the years 1993, 1994, 1995, 1996, 1997, 1998 and 1999 are 30, 60, 40, 70, 100, 50 and 120 respectively.

2. The amount of exports of Company Y (in crore Rs.) in the years 1993, 1994, 1995, 1996, 1997, 1998 and 1999 are 80, 40, 60, 60, 80, 100 and 140 respectively.

3. The amount of exports of Company Z (in crore Rs.) in the years 1993, 1994, 1995, 1996, 1997, 1998 and 1999 are 60, 90,, 120, 90, 60, 80 and 100 respectively.

Average annual exports (in Rs. crore) of Company Y during the given period 

Average annual exports (in Rs. crore) of Company Z during the given period

Given Data:

• The average of 8 numbers is 25:
  • Sum of all 8 numbers = 8 × 25 = 200
• The average of the first two numbers is 20:
  • Sum of the first two numbers = 2 × 20 = 40
• The average of the next three numbers is 26:
  • Sum of the next three numbers = 3 × 26 = 78
• The sixth number (x) is:
  • 4 less than the seventh (y): y = x + 4
  • 6 less than the eighth (z): z = x + 6

Step-by-Step Solution:

Step 1: Sum of the last three numbers

From the total sum:

Sum of the last three numbers = 200 - (Sum of the first five numbers)

Sum of the last three numbers = 200 - (40 + 78) = 200 - 118 = 82

Step 2: Equation for the last three numbers

The last three numbers are x, y, and z. Using their relationships:

x + y + z = 82

Substitute y = x + 4 and z = x + 6 into the equation:

x + (x + 4) + (x + 6) = 82

3x + 10 = 82

3x = 72 ⇒ x = 24

Step 3: Find y and z

Using x = 24:

• y = x + 4 = 24 + 4 = 28
• z = x + 6 = 24 + 6 = 30

Verification:

The sum of the last three numbers is: 24 + 28 + 30 = 82

This matches the required sum, confirming our calculations.

Final Answer:

The last number is 30.

Total age of family 3 years ago = 17x5 = 85 years

Total age of family now = 17x 6 = 102 years

Total age of family excluding the child now = (85 + 15) = 100 years

Age of child = 2 years

5% for 3 years (SI) = 15% of the amount; At the same time 4% SI for 4 years means 16% of the amount. The difference between the two is 1% of the amount. 1% of 500 = Rs. 5

x² = 529 * 324 ⇒ x = 23 * 18 = 414

So Option B is correct

LCM of 12, 15, 25 and 30 is 300
least number of 4-digit divided by 300 is 1200

12% percent didn’t cast their vote. 45% of total votes get by the winning candidates, so remaining 43% will be scored by his rival. So, (45/100 -43/100)*P = 2000
P = 100000

Average of set A elements = x + 4.5
Average of set B elements = y + 7
So,  = 9/14
⇒ 14x + 63 = 9y + 63
⇒ x/y = 9/14

 Height of the cylinders = 42 cm
Radius of the outer cylinder = r₁ = 16/2 = 8 cm
Radius of the inner cylinder = r₂ = 14/2 = 7 cm
Therefore, volume of the cork dust required = Volume of the outer cylinder – Volume of the inner cylinder

= 1980 cm³

Average rate of tap = 2/3 drops/sec
Total number of drops in the completely filled vessel = 2080
So, time taken by the tap to drip 2080 drops 
i.e. Time required to fill the vessel = 3120 sec
∴ Number of times that the vessel be filled in this manner in 13 hours 

• C is the wife of B, B has a son F and a daughter A
• As A is the granddaughter of G. So, G is the mother of B.
• As D is the father-in-law of C, hence D is the husband of G and D is the father of B and E.
• Also, E is a professor, D is a lawyer (G’s husband is a lawyer), G is a housewife, A is an engineer & C is a doctor.
• So D is the lawyer.

All except Whales lay eggs
 

1 * 2 + 18 = 20
20 * 2 + 18 = 58
58 * 2 + 18 = 134
134 * 2 + 18 = 286

Sub-series formed by the difference between consecutive terms is 2, 10, 30 and 68.

This sub-series follows the below pattern.

1³ + 1, 2³ + 2, 3³ + 3 and 4³ + 4.

So the next term of the difference sub-series will be 5³ + 5 = 130. Final answer will be 113 + (5³ + 5) = 113 + 130 = 243.

Hence, answer is 243. Below is a detailed representation of the entire series.

3 + (1³ + 1) = 3 + 2 = 5
5 + (2³ + 2) = 5 + 10 = 15
15 + (3³ + 3) = 15 + 30 = 45
45 + (4³ + 4) = 45 + 68 = 113
113 + (5³ + 5) = 113+130 = 243.

32.4 * 8 * 5 + 4 = 1300
1300 ÷ 26 + 14 = 64 => x = 8

C    O    U    N    S    E    L
↓    ↓    ↓    ↓    ↓    ↓    ↓
–1    –6    –1    –5    –1    –4    –1
↓    ↓    ↓    ↓    ↓    ↓    ↓
B    I    T    I    R    A    K
Similarly;
 
G    U    I    D    A    N    C    E
↓    ↓    ↓    ↓    ↓    ↓    ↓    ↓
–1    –6    –1    –5    –1    –4    –1    –3
↓    ↓    ↓    ↓    ↓    ↓    ↓    ↓
F    O    H    Y    Z    J    B    B

In the solid and liquid phase, water molecules are bonded to each other by virtue of an interaction between hydrogen atoms on one molecule and the oxygen atom of another — the process is referred to as "hydrogen bonding." The result is a kind of "skin" on liquid water's surface.

Cytokinins are a group of hormones that promote cell division in plant roots and MOD shoots and the growth of buds Cytokinins increase cell division by stimulating the duction of proteins needed for mitosis. 

Lumbini, the birthplace of Lord Buddha, is marked by a commemorative pillar erected by Mauryan Emperor Ashoka of India during his pilgrimage to the holy site in 249 BC. The inscription on the Ashoka Pillar indentifies the Sacred Garden spread over 9 sq. km -as the spot where the Enlightened One was born. Lumbini was known as Rummindei in Asoka's time.

The MoC between India and Japan for the development of the Integrated Mast aims to achieve multiple objectives. It focuses on reducing the radar cross-section (RCS) by combining different antennas into a single structure. This improves the platform's stealth capabilities. Additionally, the MoC aims to enhance defense capabilities and strengthen regional stability through joint efforts in defense technology.

• Meaning of Adversity: A difficult or unpleasant situation.
• Meaning of Failure: Lack of success
• Meaning of Helplessness: Inability to defend oneself
• Meaning of Content: In a state of peaceful happiness 

Quiescent : In a state or period of inactivity or dormancy.
Active : Ngaging or ready to engage in physically  energetic pursuits.
Dormant : Having normal physical functions suspended or slowed down for a period of time.
Weak : Lacking the power to perform physically demanding tasks.
Unconcerned : Showing a lack of worry or interest.

Antonym of Quiescent is Active.

There is a simple grammatical question. What thing/things is/are common? Praise is common. Praise is singular, so we say ‘is common’. That leaves us with choice D. It is correct to say that we associate x with y, not to y. ‘To’ often implies movement. As a plural noun ‘statistics’ requires the third person plural verb ‘show’. Choice D is the correct answer.

According to the given context we can see that we are talking about the decision to purchase a home and it is one of the most important and significant decisions in the financial life of a person. Among the given options, we can use the word important to fill the blank and make the sentence meaningful. Other words are irrelevant and can be eliminated from consideration.

This makes Option A the correct choice among the given options. 

Statements I and III have not been mentioned in the passage and are incorrect.

Statement II is correct as can be seen from the first paragraph of the passage.

Hence, option A is correct.

The given word "womanish" refers to someone who has habits or characteristics typically associated with women. The word that can be substituted for "womanish" is "effeminate." Option B, "effeminate," means having qualities or characteristics typically associated with women. Therefore, the correct answer is B.