RRB JE ME (CBT I) Mock Test- 6
100 Questions MCQ Test RRB JE Mock Test Series for Mechanical Engineering (ME) | RRB JE ME (CBT I) Mock Test- 6
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The area of a square park is 25 sq.km. The time taken to complete around of the field once, at a speed of 3 km/hour is
Side = √25 = 5 km
Perimeter = 4 × 5 = 20 km
S = D/T
Time taken in completing one round
= (Distance)/(Speed)
(1/100)×(1/100)×(25/100) × 1000 = 0.025.
The average of all the perfect squares up to 100 is:
A is thrice as fast as B and is therefore able to finish a work in 60 days less than B. The time in which they can do it working together is:
∴ A will finish the work in x days
Also 3x - x = 60
x = 30 days.
∴ A's one day work = 1/30
B"s one day work = 1/90
(A+B)'s one day work = 1/30+1/90 = 4/90
∴ Time taken to Finish the work
while (A+B) working together = 90/4
= 45/2 days.
A rectangle with one side of length 12 cm is inscribed in a circle of diameter 15cm.Find the area of rectangle.
Now:OA = OC = 7.5 cm[Radius of circle]
⇒ AC = OA + OC = 7.5 + 7.5 = 15 cm
In right triangle ABC, by pythagoras theorem (AC)2 = (AB)2 + (BC)2
⇒ 152 = 122 + (BC)2
⇒ (BC)2 = 225 - 144 = 81
= BC = 9 cm
∴ Area of rectangle= AB x BC = 12 x 9 = 108 cm2
The difference between the circumference and diameter of a circle is 150 m. The radius of that circle is (Take π = 22/7)
(Circumference of a circle - Diameter) = 150
The total area of a circle and a square is equal to 5450 sq.cm. The diameter of the circle is 70 cms. What is the sum of the circumference of the circle and the perimeter of the square?
= 380 cm.
The selling price of 12 objects is equal to the cost price of 9 objects. Find the loss or profit percentage?
Clearly there is a loss as 12 articles are sold for what 9 articles are bought.
L% = L/C.P.×100 = 3/12 × 100 = 25%
If a,b,c, are the distinct positive numbers then (a+b+c) (ab+bc+ca) is:
The simple interest on a sum of money is 1/25 of the principal and the number of years is equal to the rate percent per annum. Find the rate percent per annum.
If O is the orthocentre of ∆ABC, then ∠BOC + ∠BAC is equal to:
∠BOC + ∠BAC = 1800
Orthocentre is the intersecting point of altitudes.
The average monthly income of A and B is ₹7760. The average monthly income of B and C is ₹10990 and that of C and A is ₹9070. What is the annual income of B?
Total income of A and B = 2 x 7760
⇒ A+B = 15520 ...(i)
Similarly,
B +C = 10990 × 2 = 21980...(ii)
and A+C = 9070 x 2 = 18140 ...(iii)
Adding Eqs. (i), (ii) and (iii),
2(A + B + C) = 55640
⇒A+B + C =27820 ,..(iv)
Subtracting Eq. (iii) from Eq. (iv),
B = 27820 – 18140 = 9680
Hence, annual income of
B = 9680 × 12 = ₹116160
Two poles of the height 15 m and 20 m stand vertically upright on a plane ground. If the distance between their feet is 12 m, find the distance between their tops.
Applying Pythagoras theorem in triangle BDE
BD2 = BE2 + DE2
= 52 + 122
= 25 + 144 = 169
BD = 13m
A mixture of 70 litres contains milk and water in ratio of 3 :4. How many litres of milk must be added to mixture so as to make the ratio 5 : 4?
Milk : Water
New ratio 5 : 4
Old ratio 3 : 4
Difference 2 : 0
Sum of old ratios = 3 + 4 = 7
∴ Milk added = 2/7 × 70 = 20 litres
In the given figure, BO and CO are the bisector of ∠CBD and ∠BCE respectively and ∠A = 40°, then ∠BOC is equal to:
= 90° - 1/2 ∠A = 90° - 1/2 (40) = 70°
For which of the following value of m the equation x2 - 6x + m = 0 has equal roots?
b2 – 4ac = 0
∴(–6) 2 – 4 (1) (m) = 0
36 – 4m = 0
– 4m = – 36
4m = 36
m = 9
Area of circle is equal to the area of a rectangle having perimeter of 100 cm and length is more than the breadth by 6 cm. What is the diameter of the circle?
= (x + 6)
∴ 2(x + x + 6) = 100
⇒ 2x + 6 = 50
⇒ x = 22 cm
∴ breadth = x = 22 cm & length
= 22 + 6 = 28 cm
∴ Area of circle = Area of rectangle
⇒ π r2 = 22 x 28
⇒ r2 = 22×28 x 22 / 7 =7×4×7
⇒ 7 × 2 = 14 cm
∴ Diameter = 2r = 28 cm
In the given figure, ABCD is a trapezium such that AD II BC and P, Q are the points on AB and CD respectively such that PQ II AD and AP: PB = 5 : 3. Then PQ is:
Now In △APR and △ABC
∠APR = ∠ABC (∵ PQ I I AD I I BC)
And ∵ APR = ∠AC8 (∵ PQ I I BC)
What is the difference between the simple interest on a principal of ₹600 being calculated at 4% per annum for 3 years and 3 % per annum for 3 years?
3% for 3 years (S.I.) = 9% of the amount
The difference between the two is 3% of amount.
3% of 600 = 3/100× 600
= ₹18
If 100 men can do 100 work in 100 days, then 1 man will do 1 work in how many days?
A tank is filled by pipe A in 32 minutes and by pipe B in 36 minutes. When it is full, it can be emptied by a pipe C in 20 minutes. If all the three pipes are opened simultaneously, half of the tank will be filled in how many minutes?
A + B + C fill the tank in
A + B + C fil half the tank in
Alternate method
Half of the tank will be filled in :
= 720/13
or
A shopkeeper earns a profit of 12% on selling a book at a 10% discount on the printed price. The ratio of the cost price and the published price of the book is
∴ SP = Es. 112
If the marked price is Rs. x, then
90% of x = 112
= 900 : 1120 = 45 : 56
The sum of two numbers is 40, and their difference is 4. The ratio of the numbers is :
x + y = 40
x - y = 4
so x = 22 and y = 18
therefore required ratio = 22/18 = 11 : 9
The average age of 30 students is 9 years. If the age of their teacher is included, it becomes 10 years. What is the age of the teacher?
When teacher's age is included then total age = 31*10 = 310
therefore, Required answer = 310- 270 = 40 years
Two pipes can separately fill a tank in 20 hrs and 30 hrs respectively. Both the pipes are opened to fill the tank but when the tank is 1/3 full a leak develops in the tank through which 1/3 of the water supplied by both the pipes per hour leak out. What is the total time taken to fill the tank?
∴ 1/3 of the tank if filled in 12/3 = 4 hrs.
Now, 1/3 of the supplied water leaks out
⇒ the filler pipes are only 
as efficient as earlier.
⇒ the work of (12 - 4 =) 8 hrs will be completed now in
∴ total time = 4 + 12 = 16 hrs.
If 3 tan θ - 4 = 0 and 180° < θ < 270° then cosec θ = _______
3 tan θ - 4 = 0
⇒ tan θ = 4/3
DIRECTIONS: Study the following table carefully and answer the questions that follow.
The table represents the total number of students studying courses P, Q, K, S and T, across eight Institutes i.e., A, B, C, D, E, F, G and H.
What is the total number of students who are studying course T across all institutes?
= 370 + 480 + 380 + 250 + 180 + 370 + 590 + 660
= 3280
DIRECTIONS: Study the following table carefully and answer the questions that follow.
The table represents the total number of students studying courses P, Q, K, S and T, across eight Institutes i.e., A, B, C, D, E, F, G and H.
What is the respective ratio between the total number of students studying in institute A and the total number of students studying in institute H?
= 520 + 410 + 430 + 350 + 370
= 2080
Total number of student studying in institute H
= 450 + 310 + 480 + 460 + 660
= 2360
Now, required ratio = 2080/2360 = 52/59 = 52 : 59
In a certain code language if 41095 is coded as READY and 840327 is coded as FRAILS then the code of 83145 419 is?
4 → R, 1 → E, 0 → A, 9 → D, 5 → Y
and
8 → F, 4 → R, 0 → A, 3 → I, 2 → L, 7 → S
So, using these letter codes the code for 83145 419 will be FIERY RED.
In the following question, select the number which can be placed at the sign of question mark (?) from the given alternatives.
2+4+6+8=20
20/2=10
And,
3+6+9+12=30
30/2=10
Similarly,
4+8+12+16=40
40/2=20
Which answer figure will complete the pattern in the question figure?
Question Figure
Answer Figure
From the given figure, select the one in which the question figure is hidden/embedded.
Question Figure
Answer Figure
Directions: In the following questions, a statement is followed by some courses of action. Assume everything in the statement to be true, and decide which of the suggested courses of action logically follows for pursuing.
Statement: The Government has decided not to provide financial support to voluntary organisations from next Five Year Plan and has communicated that all such organisations should raise funds to meet their financial needs.
Courses of Action:
I. Voluntary organisations should collaborate with foreign agencies.
II. They should explore other sources of financial support.
Which of the following cube in the answer figure cannot not be made based on the unfolded cube in the question figure?
Question Figure
Answer Figure
So, if we folded the unfolded box than find that the answer figure (A) is correct.
Which answer figure will complete the pattern in the question figure
Question Figure
Answer Figure
Choose the alternative which is closely resembles the water-image of the given combination.
Question Figure
US91Q4M5W3
Answer Figure
Read the following information carefully and answer the question given below-
In each Question below, a statement is followed by two courses of action numbered I and II. A course of action is a step or administrative decision to be taken for improvement, follow-up or further action in regard to the problem, policy, etc. On the basis of the information given in the statement, you have to assume everything in the statement to be true, then decide which of the suggested courses of action logically follow(s) for pursuing.
(1) if the only Course of action I follow.
(2) if the only Course of action II follows.
(3) if either Course of action I or Course of action II (but not both) follows.
(4) if neither Course of action I nor Course of action II follows.
Statement: There has been an unprecedented increase in the prices of essential commodities during the past few days due to the strike call given by the transporters' association.
Courses of action:
I. The government should immediately deploy all the government vehicles for the movement of essential commodities to tide over the crisis.
II. The transporters' association should be persuaded to withdraw their strike call to bring in normalcy in the supply of essential commodities.
In the following question, some statements are given followed by some conclusions. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follow the given statements, disregarding commonly known facts.
Statements:
I. Some cups are chairs.
II. All chairs are tables.
Conclusions:
I. Some tables are cups.
II. Some chairs are tables.
A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example, ‘Q’ can be represented by 23, 59, etc, and ‘V’ can be represented by 30, 66, etc. Similarly, you have to identify the set of the word “FAST”
(a) 04, 03, 77, 76------F, A, C, T
(b) 95, 97, 99, 24------F, A, S, Y
(c) 04, 97, 34, 42------F, A, S, T
(d) 95, 03, 97, 40------F, A, A, Z
Thus the set of numbers for the word ‘FAST’ is 04, 97, 34, 42
In each of the questions given below, a statement has been given, then two preconceptions under which the numbers I and II have been given. A pre-conceived or perceived assumption is called prediction. You have to consider the statements and the assumptions given below and then decide which pre-concepts are contained in the statement.
Statement:
Switch off the respective computers while leaving the office. - an instruction at an office.
Assumptions:
I.Provision of computers in the office is a matter of facility and not of right.
II.It might be dangerous to leave the computer running and unattended.
A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets, as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4, and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example, ‘F’ can be represented by 31, 67, etc., and ‘L’ can be represented by 33, 75, etc. Similarly, you have to identify the set of the word ENACT.
(a) 01, 04, 14, 13, 97------E, N, A, C, T
(b) 56, 32, 02, 03, 44------E, A, J, T, X
(c) 97, 89, 86, 95, 98------T, N, E, L, C
(d) 01, 89, 03, 68, 23------E, N, T, C, I
Thus the set of numbers for the word ‘ENACT’ is 01, 04, 14, 13, 97
If a mirror is placed on line AB, then which of the answer figure is the right image of the given figure?
Question Figure
Answer Figure
In the following questions given format is made on a transparent page and folded along the dotted line, then how will it be visible?
Question Figure:
Answer Figure:
If ‘T’ means ‘+’, ‘U’ means ‘ ÷ ’, ‘V’ means ‘ × ’ and ‘W’ means ‘–’, then which of the following equation is true?
Each question below is followed by a statement and some arguments. You have to decide which of the following arguments is a strong argument and which is a weak argument. In making decisions about important questions, it is desirable to be able to distinguish between strong arguments and weak arguments and weak arguments so for as they relate to the question . Strong arguments are those which are both important and directly related to the question. Weak arguments are those which are of minor importance and also may not be directly related to the question or may be related to a trivial aspect of the question. Select the correct answer using the codes given below.
Statement:
Should schools provide guidance to families and conduct parenting group sessions?
Arguments:
I. Yes, research has discovered several parenting strategies.
II. Yes, parenting strategies have proven to be fruitful for the children.
Find out which of the figures (A), (B), ©, and (D) can be formed from the pieces given in the figure.
Question Figure
Answer Figure
If 'GCTP' is written as 'DZQM,’ how 'NEAR' can be written in that code?
In the following question, some statements are given, followed by some conclusions. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follow the given statements, disregarding commonly known facts.
Statements:
Some dogs are bats.
Some bats are cats.
Conclusions:
I. Some dogs are cats.
II. Some cats are dogs.
Reema pointed towards a painting and said, "He is my son's paternal grandfather's only daughter-in-law's father's father". How is he related to Reema?
And her father in law‘s only daughter-in-law's= REEMA.
Reema father's father = Paternal Grandfather of reema.
If North-East is called East, North is called North-East and North-West is called North, then what will south be called as?
Given below is a statement followed by 2/3 Assumptions. An assumption is something not written directly but can be considered as the implicit understanding before writing any text, document or writing. Choose the implicit assumption in the following question:
Statement: The Haryana government has decided to introduce a dress code for its employees. This novel step has been taken in the wake of media reports about numerous government employees in Haryana who attend office wearing only lungis and baniyans.
Assumption:
I. Wearing lungis and baniyans leads to a below average performance of the employees.
II. Such attire spoils the decorum of the office.
A piece of paper is folded and cut as shown below in the question figures. From the given answer figures, indicate how it will appear when opened?
Question Figure
Answer Figure
Arrange the given words in the sequence in which they occur in the dictionary.
1. Print
2. Prawn
3. Pager
4. Paste
5. Pain
3. Pager
5. Pain
4. Paste
2. Prawn
1. Print
India’s largest Cancer Institute, National Cancer Institute (NCI) has opened in -
Which schedule of the Indian constitution deals with ‘Forms of Oath or Affirmations’?
Who is the Information and Broadcasting Minister of India?
Where is the head quarter of “European Bank for Reconstruction and Development”?
India is a Union of States. Executive power of the Union is vested in the __________.
Prime Minister Shri Narendra Modi has become the _____ recipient to receive Seoul Peace Prize 2018.
A member of Parliament will lose his membership of Parliament if he is continuously absent from Sessions for-
Amongst the following which state in India has the longest coastline?
National Rural Health Mission (NRHM) was launched in the year :-
What is the total strength of (Council of state) Rajya Sabha of India?
The Rajya Sabha or Council of States is the upper house of the Parliament of India.
Membership of Rajya Sabha is limited by the Constitution to a maximum of 250 members, and the current laws have the provision for 245 members.
233 members are elected by state assembly members and the rest 12 members are nominated by the President for their contributions to art, literature, science, and social services.
Biodiversity act of India was passed by Parliament in
Which of the following is the best conductor of electricity ?
According to Newton’s …………….. law of motion - To every action there is an equal and opposite reaction.
Foreign materials entering the cell, such as bacteria or food, as well as old organelles end up in the _____________.
The atmospheric gas which cannot produce green house effect is _____
Consider the group of atoms - O2-, F-, Ne, Na+
This group is an example of -
Which of the following in the human body is popularly called the ‘Adam’s Apple’?
Which of the following is the most stable element?
The electric field intensity on the surface of a charged conductor is
The amount of light entering an eye is regulated by the-
The amount of variation permitted in the size of a part is called
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