RRB NTPC (CBT I) Full Mock Test - 10 - RRB NTPC/ASM/CA/TA MCQ

Explanation:

BODMAS RULE:

Let's check each option:

Option A. +, -, =, ÷, +

Given equation: (440 * 11) * 85 * 57 * (34 * 3)

After replacing the signs, we get:

⇒ (440 + 11) - 85 = 57 ÷ (34 + 3)

⇒ 451 - 85 = 57 ÷ 37

⇒ 366 ≠ 1.54

Option B. ×, =, -, ÷, +

Given equation: (440 * 11) * 85 * 57 * (34 * 3)

After replacing the signs, we get:

⇒ (440 × 11) = 85 - 57 ÷ (34 + 3)

⇒ 4840 = 85 - 57 ÷ 37

⇒ 4840 = 85 - 1.54

⇒ 4840 ≠ 83.46

Option C. +, ×, =, ÷, +

Given equation: (440 * 11) * 85 * 57 * (34 * 3)

After replacing the signs, we get:

⇒ (440 + 11) × 85 = 57 ÷ (34 + 3)

⇒ 451 × 85 = 57 ÷ 37

⇒ 38335 ≠ 1.54

Option D. ÷, -, =, -, ×

Given equation: (440 * 11) * 85 * 57 * (34 * 3)

After replacing the signs, we get:

⇒ (440 ÷ 11) - 85 = 57 - (34 × 3)

⇒ 40 - 85 = 57 - 102

​⇒ -45 = -45

Hence,"÷, -, =, -, ×" is the correct answer.

• The theme of the "Jal Shakti Abhiyan: Catch the Rain" campaign launched in 2024 is "Nari Shakti se Jal Shakti."

• The campaign emphasizes the integral role of women in water conservation and management.
• It is the fifth edition of the campaign and comes under the National Water Mission.
• The campaign aims to empower women and ensure a water-secure future.
• It is organized by the Department of Water Resources, River Development & Ganga Rejuvenation, in collaboration with the Department of Drinking Water & Sanitation.

Additional Information

• The launch event featured a 'Jal Kalash' ceremony symbolizing collective commitment towards water conservation.
• Short films and documentaries highlighting the importance of water conservation and the role of women were screened during the event.
• Union Minister Shri Gajendra Singh Shekhawat emphasized the critical importance of water conservation and the imperative role of women in this effort.

The given arrangement is as follows:

There are Eight girls, A, B, C, D, E, F, G and H, are sitting around a circular table and facing the center.

1) A is sitting second to the left of B

2) Only three girls are sitting between A and D.

3) F is sitting to the immediate left of C.

4) D is not an immediate neighbour of either F or E. H is not an immediate neighbour of B.

So, the final arrangement is as follows

The immediate neighbours of D are H and G.

Hence, the correct answer is " H and G ".

As shown above, side of the polygon AB subtends angle AOB = t at the center

Now, t = 360º/6 as the six sides of the hexagon subtends equal angles at the center

t = 60º

It is a regular hexagon hence, OA = OB

As shown let M be the midpoint of AB. Also, OM is the radius of the circle

OM ⊥ AB

Now in ΔOMA and ΔOMB,

OA = OB

AM = MB

And angle BMO = angle AMO = 90º

Both the triangles are similar

⇒ Angle AOM = angle BOM

⇒ Angle BOM = t/2 = 60º/2 = 30º

tan (t/2) = MB/OM

tan 30 = MB/radius of the circle

⇒ 1/√3 = MB/6

⇒ MB = 6/√3 = 2√3

∴ AB = 2 MB = 4√3 cm

• Max Verstappen clinched victory in the 2024 Japanese Grand Prix.

• He led almost the entire race, demonstrating his dominance in Formula 1.
• Verstappen's victory marked a return to form after a setback in Melbourne.
• His Red Bull teammate Sergio Perez finished in second place.
• Carlos Sainz of Ferrari secured the third spot on the podium.
• Verstappen's win solidifies his position as a leading contender in the championship race.
• The victory was particularly significant as it was achieved in front of Honda's home crowd at the Suzuka circuit.

The correct answer is To help astronauts carry out a range of tasks, including health monitoring and communication

In News

• The Vikram Sarabhai Space Centre (VSSC), the Indian Space Research Organisation (ISRO) facility at Thumba in Thiruvananthapuram, has developed a multi-purpose app called "SAKHI"

Key Points

• The app will help astronauts on the Gaganyaan space flight mission carry out a range of tasks such as looking up vital technical information or communicating with one another.
• The Space-borne Assistant and Knowledge Hub for Crew Interaction (SAKHI) will, among other things, monitor the health of the astronauts, help them stay connected with Earth and even alert them about their dietary schedules.

Additional Information

• Purpose: Assist astronauts on the Gaganyaan space flight mission with various tasks.
• Functionality:
  • Provides access to vital technical information.
  • Facilitates communication between crew members.
  • Monitors astronauts' health.
  • Maintains connectivity with Earth.
  • Alerts astronauts about their dietary schedules.

For find the opposite surface of '4', we need to compare the common surface in the given dices,

Now,

From Dice 1 and Dice 2,

→ M is the common surface, 'R' is the opposite surface of '5' and '9' is the opposite surface of '6'.

From Dice 2 and Dice 3,

→ 6 is the common surface, 'M' is the opposite surface of '4' and '5' is the opposite surface of 'R'.

From Dice 1 and Dice 3,

→ R is the common surface, 'M' is the opposite surface of '4' and '9' is the opposite surface of '6'.

So, the opposite surfaces are:

'M' is the opposite surface of '4'.

'9' is the opposite surface of '6'.

'5' is the opposite surface of 'R'.

Here, 'M' is opposite to the face containing '4'.

Hence, the correct answer is "M".

The 3^rd, 5^th, 6^th and the last letters of the word EVENTFUL are E, T, F, and L.

The four letter meaningful words that can be made from the letters E, T, F, and L are FELT and LEFT.

There are two four letter meaningful words possible using the given letters.

Therefore, two is the correct answer.

Given:

CI for 2 years = Rs. 832

SI for 2 years = Rs. 800

Concept:

The difference between compound and simple interest for 2 years

gives the interest on the first year's simple interest.

Calculation:

Calculate the difference between 2 years of compound interest and simple interest:

⇒ Rs. 832 - Rs. 800 = Rs. 32

Calculate the Simple Interest for one year:

⇒ Rs. 800 ÷ 2 = Rs. 400

Calculate the annual interest rate:

⇒ (Rs. 32 ÷ Rs. 400) × 100 = 8% per annum

Calculate the Simple Interest for 3 years:

⇒ Rs. 400 × 3 = Rs. 1200

Calculate the principal amount:

⇒ Rs. 400 ÷ 0.08 = Rs. 5000

Calculate the total amount after 3 years with compound interest:

⇒ Rs. 5000 × (1 + 0.08)^3 = Rs. 6298.56

Calculate the Compound Interest for 3 years:

⇒ Rs. 6298.56 - Rs. 5000 = Rs. 1298.56

Calculate the difference between 3 years of Compound Interest and Simple Interest:

⇒ Rs. 1298.56 - Rs. 1200 = Rs. 98.56

Therefore, the difference between compound interest and simple interest for a period of 3 years is Rs. 98.56.

Given:

A's initial investment (C₁) = ₹720000.

Time period for which A invested the sum (t₁) = 12 months.

B joined A after 4 months with investment (C₂) = ₹ 540000.

Time period for which B invested the sum (t₂) = 8 months.

Total profit = ₹96000.

Formula used:

In a partnership, profit is divided in the ratio of investment multiplied by their time in the business, for two persons A and B we write,

Profit of A : Profit of B

= Investment of A × time period of A : Investment of B × time period of B.

Calculation:

Ratio of profits of A and B,

Profit of A : Profit of B

= (Investment of A × Time period of A) : (Investment of B × Time period of B)

= C₁t₁ : C₂t₂

= (720000 × 12) : (540000 × 8)

= 8640000 : 4320000

= 2 : 1

Profit received by A

= [2 / (2 + 1)] × 96000

= 192000 / 3

= 64000.

∴ Profit received by A is ₹64000.

The correct answer is Building mountains.Key Points

• Endogenic forces are the forces that originate from within the Earth's crust and result in the formation of landforms.
• Building mountains is an example of endogenic forces as it involves tectonic activity where two tectonic plates collide, leading to the uplift of the Earth's crust and the formation of mountains.
• Glaciers are a result of exogenic forces (external forces) such as changes in climate and weather patterns.
• Sea-waves are a result of exogenic forces such as wind patterns, tides, and ocean currents.
• Wind is also result of an exogenic force that shapes the Earth's surface by eroding and depositing sediments.

Additional Information

• The Himalayas, the Andes, and the Rockies are examples of mountain ranges formed due to tectonic activity.
• Glaciers are large masses of ice that form in high-altitude areas where the temperature is below freezing.
  • They are formed due to a combination of factors such as temperature, precipitation, and topography.
  • Glaciers can shape the landscape by eroding rocks, creating valleys, and leaving behind moraines (piles of rocks and debris).
• Sea-waves are created due to a combination of factors such as wind patterns, tides, and ocean currents.
  • They can shape the coastline by eroding rocks, creating sea cliffs, and depositing sediments to form beaches.
• Wind is a result of differences in atmospheric pressure that cause air to move from high-pressure areas to low-pressure areas.
  • Wind can shape the Earth's surface by eroding rocks, creating sand dunes, and depositing sediments to form landforms such as deltas.

The correct answer is Hyperinflation

Key Points

A.  Inflation

• Inflation may be defined as a sustained upward trend in the general level of prices and not the price of only one or two goods.
• G. Ackley defined inflation as a persistent and appreciable rise in the general level or aver­age of prices’.
• In other words, inflation is a state of rising prices, but not high prices.

B. Hyperinflation

• Typically, central banks aim to maintain inflation around 2% to 3%.
• Increases in inflation significantly beyond this range can lead to fears of possible hyperinflation, a devastating scenario in which inflation rises rapidly out of control.
• A rapid, excessive, and out-of-control increase in general price in an economy is referred to as hyperinflation.

C. Stagflation

• This type of inflation is a witch’s brew of economic adversity, combining poor economic growth, high unemployment, and severe inflation all in one.
• Although recorded instances of stagflation are rare, the phenomenon occurred as recently as the 1970s, when it gripped the United States and the United Kingdom.

D. Deflation

• Deflation is when prices drop significantly, due to too large a money supply or a slump in consumer spending; lower costs mean companies earn less and may institute layoffs.

Important Points

• Inflation is the rate at which the overall level of prices for various goods and services in an economy rises over a period of time.
• As a result, money loses value because it no longer buys as much as it did in previous times; the purchasing power of a country's currency declines.

Given

Total students = 50

The ratio of boys to girls = 16 ∶ 9

Concept or Formula used:

The mean proportional between two numbers 'a' and 'b' is sqrt(a × b).

Solution:

⇒ Number of boys = 50 × (16/(16 + 9)) = 32

⇒ Number of girls = 50 × (9/(16 + 9)) = 18

⇒ Mean proportional = √(Number of boys × Number of girls) = √32 × 18 = 24

Hence, the mean proportion between the number of boys and girls in the school is 24.

The least possible Venn diagram is:

Conclusions:

I. Some painters are lawyers. → Follow (As, Some skilled are lawyers and All skilled are painters)

II. No painter is lawyer. → Do not follow (As, Some skilled are lawyers and All skilled are painters → Some painters are lawyers)

Hence, 'Only conclusion I follows' is the correct answer.

The correct answer is Kevlar.

Key Points

• Kevlar is the most commonly used material as armour for protection against bullets used in handguns because of its impact resistance, high strength, and low weight.
• These properties make kevlar an ideal material to be used in bullet-proof vests as compared to other materials.
• Kevlar is a synthetic material known for its high strength and resistance to impact, heat, and chemicals.
• It was developed by Stephanie Kwolek in 1965 while she was working at DuPont, a chemical company.
• Kevlar is a type of aramid fibre, which is a class of heat-resistant and strong synthetic fibres.
• Uses of Kevlar:
  • Aerospace: Kevlar is used in the construction of aircraft and spacecraft, where its lightweight and high-strength properties are valuable.
  • Sporting Goods: It's used in the production of sporting equipment such as helmets, gloves, and bicycle tyres.
  • Industrial Applications: Kevlar is employed in conveyor belts, hoses, and cables for its durability and resistance to abrasion.
  • Marine: Kevlar composites can be used in boat hulls for their strength and impact resistance

The correct answer is 'Lord Hardinge II'.

Key Points

• During the Delhi Durbar on 12th December 1911, George V, then emperor of India, along with the Queen made the announcement that the Capital of India shifted from Calcutta to Delhi while laying the foundation stone of the Capital of India in Coronation Park.
• In the Year 1911, Delhi became the Capital of British India and it was shifted from Calcutta to Delhi.
• The decision was taken during the Reign of Lord Hardinge II, who was the Viceroy of India.
• The reasons were as follows:
  • Hoarding said that Calcutta was located in the Extreme east of India so the capital of India should be centralized in the terms of geography for betterment.
  • And some historians stated that the situation in Bengal was gradually going out of control & rigorous and extremist movement was giving sleepless nights to British India.

Thus, the correct answer is Lord Hardinge II.

Given:

The weight used for 1 kg: 735 g

Concept:

Gain percentage = (Gain/Cost Price) × 100%

Calculation:

⇒ Actual weight of 1 kg = 1000 g

⇒ The seller uses 735 g for 1 kg. So, he gains = 1000 g - 735 g = 265 g

⇒ Gain % = (Gain/Cost Price) × 100% = (265/735) × 100% = 36.05%

Therefore, the gain percent of the dealer is 36.05%.

When we unfold the paper step by step we get the following image:

Hence, the correct answer is "Option C".

Calculation:

Let the first part be "a", second part be "b" and third part be "c".

According to the question-

⇒ 1/2 × a = 1/5 × b = 3/8  × c

Let  1/2 × a = 1/5 × b = 3/8  × c = k

⇒ a = 2k

⇒ b = 5k

⇒ c = 8/3 k

⇒ 2k + 5k + 8/3 k = Rs 5800

⇒ 29k = Rs 5800 × 3

⇒ k = Rs 600

Substituting the value of k in the equation of "c"-

⇒ 3/8 × c = Rs 600

⇒ c = Rs 1600

∴ The value of third part is Rs 1600.

The correct answer is Gujarat.

Key Points

• 'Rani ki Vav' is included in the list of UNESCO World Heritage Sites is located in the state of Gujarat.
  • "Rani ki Vav" is a stepwell situated in the town of Patan in the Gujarat state of India. It is located on the banks of the Saraswati river.
  • "Rani ki vav" is considered the finest and one of the largest examples of stepwell architecture in Gujarat.
  • "Rani ki vav" has been declared a Monument of National Importance and protected by the Archaeological Sites Act (ASI). It was added to the list of UNESCO's World Heritage Sites on 22 June 2014.
  • "Rani ki vav" was named India's "Cleanest Iconic Place" at the 2016 Indian Sanitation Conference.

Additional Information

• "Rani-ki-Vav" was initially built as a memorial to a king in the 11th century AD. Its construction is attributed to Udayamati, daughter of Khengara of Saurashtra, queen, and spouse of the 11th-century Chaulukya king Bhima I.
  • It has spiritual significance and represents the sanctity of water. The sculptures in stepwell depict numerous Hindu deities including Brahma, Vishnu, Shiva, goddesses (Devi), Ganesha, Kubera, Lakulisha, Bhairava, Surya, Indra, and Hayagriva.

Given Data:

Speed while going = 75 km/h

Speed while returning = 100 km/h

Concept: The average speed for a round trip is given by 2 × (Speed1 × Speed2) / (Speed1 + Speed2).

Calculation:

⇒ Average speed = 2 × (75 km/h × 100 km/h) / (75 km/h + 100 km/h) = 85.71 km/h

Therefore, the average speed of the car is approximately 85.71 km/h.

Given:

Calculation:

Total marks obtained in S2 = 67

Total marks obtained in S4 = 83

So, Total marks obtained in S2 and S4 = 67 + 83 = 150

Total marks obtained in S5 = 85

Percentage of marks obtained more than S5 by S2 and S4 students = 150 - 85/85 x 100 = 65/85 x 100

Percentage of marks obtained more than S5 by S2 and S4 students = 76.47%

Hence, the required percentage is 76.47%.

Given Series:

(Left) @ 4 % 2 2 1 # 3 ^ 8 % 7 $ & 9 3 # 2 $ 5 # 2 $ % $ # 5 1 # 2 $ # 5 1 # 2 5 $ 7 * & * 3 % 5 & @ (Right)

All the odd numbers are dropped from the given series;

(Left) @ 4 % 2 2 # ^ 8 % $ & # 2 $ # 2 $ % $ # # 2 $ # # 2 $ * & * % & @ (Right)

Symbol/Number that is ninth from the left end = %

Symbol/Number will be at the seventh position to the left of the Symbol/Number that is ninth from the left end (%)= 4

Hence, the correct answer is "4".

The description is as follows:

Hence, ‘Param Vir Chakra’ is the odd one out.

Given:

Decreased percentage 30%

Increased percentage 40%

Formula used:

A number is increased by x = A × 100 + x/100 %

A number is decreased by x = A × 100 - x/100 %

Calculation:

Let Ranjan's salary be 100%

Salary decreased by 30% = 100 ×  100 - 30/100%

= 70%

then increased by 40% = 70 ×  100 + 40/100%

= 9800 / 100

= 98%

His salary decreased by = 100% - 98%

=2%

Answer is 2% decrease

Alternate MethodFormula used:

Effective percentage change = a ± b ±  ab/100 % ( negative for decrease and positive for increase)

Calculation:

Effective percentage change = -30 + 40 -  1200/100 %

= 10 - 12

= - 2 ( negative sign indicates reduction or decrease )

Answer is 2% decrease

Let Zubeida must score x.

⇒ 15 × 25 = 23 × 10 + 5x

⇒ x = 29

Given:

Marked price = Rs. 10000.

Single discount = 32%

Successive discounts = 20% and 12%

Concept used:

Successive discounts a and b,

Net discount% = a + b - (ab / 100)

Discount% = (discount / MP) × 100

where,

MP = Marked price

Calculation:

Discount offered for a single discount,

Discount% = (discount / MP) × 100

32 = (discount / 10000) × 100

Discount = 32 × 100

Discount = 3200.

Successive discounts,

Net discount% = a + b - (ab / 100)

Net discount% = 20 + 12 - (20(12) / 100)

Net discount% = 32 - 2.4

Net discount% = 29.6%.

Discount for successive discounts of 20% and 12%

Discount% = (discount' / MP) × 100

29..6 = (discount' / 10000) × 100

Discount' = 29.6 × 100

Discount' = 2960.

Difference between the discounts

= 3200 - 2960

= Rs. 240.

∴ The difference between the discounts is Rs. 240.

The position of the English alphabet is given below:

Hence, the correct answer is "IFQE".

GIVEN:

cotθ = cot30^∘cot60^∘

FORMULA USED:

cot30∘ = √3

cot60^∘ = 1/√3

cot45^∘ = 1

CALCULATION:

Here, cotθ = cot30∘cot60∘ = = 1

⇒ cotθ = 1

⇒ cotθ = cot45∘

⇒ θ = 45∘

Hence, 2θ = 2 × 45∘ = 90^∘

∴ The value of 2θ is 90^∘ .

Calculation:

Let's assume the number of boys in the group is 'x'.

According to the given information,

Each boy contributed as many rupees as the number of boys.

So, each boy contributed 'x' rupees.

The total collection from all the boys is given as Rs. 841. Therefore,

x + x + x + ... (x times) = 841

⇒ x² = 841

⇒ x = √841 = 29

Therefore, there were 29 boys in the group.