Q1:
3 June Shift 2
Medium
7^6n - 6^6n, where n is an integer greater than 0, is divisible by
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3 June Shift 2
Medium
7^6n - 6^6n, where n is an integer greater than 0, is divisible by
3 June Shift 2
Medium
Which of the following space missions launched by India in 2024, aims to resolve the mysteries of the Sun?
3 June Shift 2
Medium
Match List-I with List-II | List-I | List-II | |---|---| | (Event) | (Year in which Launched) | | (A) Air Quality Index | (I) 2010 | | (B) Ganga Action Plan | (II) 2014 | | (C) National Green Tribunal | (III) 1985 | | (D) Lifestyle for Environment movement | (IV) 2022 | Choose the correct answer from the options given below:
3 June Shift 2
Easy
If the mean of five observations x + 1, x + 2, x + 3, x + 4 and x + 5 is 15, then what is the mean of the first three observations?
3 June Shift 2
Medium
How many pairs of positive integers e, f satisfy 1/e + 4/f = 1/12 where f is an odd integer less than 60?
3 June Shift 2
Medium
Which one of the following is/are correct? (A) Every irrational number is a real number. (B) Every real number is an irrational number. (C) The sum or difference of a rational number and an irrational number is an irrational number. (D) The product or quotient of a non-zero rational number with an irrational number is an irrational number. Choose the correct answer from the options given below:
3 June Shift 2
Medium
Match List-I with List-II | List-I | List-II | |---|---| | (Country) | (Name of Parliament) | | (A) Spain | (I) Folketing | | (B) Denmark | (II) Mili Shora | | (C) Australia | (III) Cortes Generales | | (D) Afghanistan | (IV) Federal Parliament | Choose the correct answer from the options given below:
3 June Shift 2
Easy
Amit is walking at a speed of 10 km/hr. After every kilometer, he takes a rest for 5 minutes. What is the time taken to cover a distance of 5 kilometers by Amit?
3 June Shift 2
Medium
Two men are on opposite side of tower. They measure the angles of elevation of the top of the tower as 30° and 45° respectively. If the height of the tower is 50 meters, find the distance between the two men.
3 June Shift 2
Medium
What is the value of x for which the points A (-1, 3), B (2, x) and C (5, -1) are collinear?
3 June Shift 2
Medium
Rekha faces towards North, then turns to her right and walks 20 meters. She then turns to her left and walks 30 meters. Next she moves 20 meters to her right. She turns to her right again and walks 55 meters. Finally she turns to the right and moves 45 meters. In which direction is she now from her starting point?
3 June Shift 2
Medium
Match List-I with List-II | List-I | List-II | |---|---| | (Shapes) | (Area/Perimeter/Diagonal/slant height) | | (A) Trapezium | (I) √(l² + b² + h²) | | (B) Sector of a circle | (II) √(R² + (R - r)²) | | (C) Cuboid | (III) 1/2 h(a + b) | | (D) Frustum of cone | (IV) (θ/360°) × 2πr | Choose the correct answer from the options given below:
3 June Shift 2
Medium
The area of a rectangle whose length is 5 more than twice its width is 75 square unit. What is the perimeter of the rectangle?
3 June Shift 2
Easy
Which of the following is the largest river island in the world?
3 June Shift 2
Hard
The Government of India launched a new scheme to separate agriculture and non-agricultural feeders for judicious restoring of supply to agriculture and non-agricultural consumers in rural areas. The scheme's name is:
3 June Shift 2
Hard
Which of the following statements are correct about Economic Survey 2023-2024? (A) Government spending has seen a declining trend since 2015-2016. (B) India's target is to become a developed economy by the year 2047. (C) Fiscal deficit was reduced in the year 2023. (D) Inflation in the year was at the lowest level since the Covid-19 pandemic period. Choose the correct answer from the options given below:
3 June Shift 2
Easy
Gujaal is playing with an ordinary dice and gets the number 2 on the face of the dice, what shall be the number on the side that lies exactly opposite to the face of the dice with which Gujaal is playing?
3 June Shift 2
Medium
The difference between cost price (CP) and selling price (SP) of an article is Rs 240. If the profit is 20%, then the selling price is
3 June Shift 2
Easy
Consider the simple interest of the following (A) The simple interest on Rs 8,930 at 6% per annum for 5 years (B) The simple interest on Rs 3,080 at 13.50% per annum for 4 years (C) The simple interest on Rs 7,200 at 14.00 % per annum for 7 years (D) The simple interest on Rs. 3,120 at 4.00 % per annum for 5 years The simple interests of these in increasing order are: Choose the correct answer from the options given below:
3 June Shift 2
Easy
The new name of Port Blair is:
3 June Shift 2
Easy
Which of the following instruments is used for measuring the relative density of liquids?
3 June Shift 2
Medium
A drainage tile is a cylindrical shell 21cm long. The inside and outside diameters are 4.5 cm and 5.1 cm, respectively. What is the volume of clay required for making a tile?
3 June Shift 2
Medium
Find out which of the answer figures completes the given matrix <img src="https://balti.afterboards.in/8vfGQtwbgunlceM" width="200px"/>
3 June Shift 2
Medium
Two mobile phones were purchased at the same price. One was sold at a profit of 20% and the second was sold at a price which was Rs.1520 less than the price at which the first was sold. If the overall profit earned by selling both the mobile phones was 1%, then determine the cost price of one mobile?
3 June Shift 2
Easy
The State of Chhattisgarh does not share its border with which of the following State of India?
3 June Shift 2
Medium
A man's wage was reduced by 50%. Again, the reduced wage was increased by 50%. Find his loss in terms of percentage:
3 June Shift 2
Medium
Which state became the first state in the country to attain 100% household electrification?
3 June Shift 2
Medium
Which of the following were important changes that were introduced by the British after the revolt of 1857? (A) The British Government accepted direct responsibility for ruling India. (B) It was decided that all the territories of Indian rulers would be annexed immediately. (C) The proportion of Indian soldiers in the army would be reduced and European soldiers would be increased. (D) It was to protect landlords and zamindars and give them security of rights over their lands. Choose the correct answer from the options given below:
3 June Shift 2
Medium
The ratio of the rate of flow of water through pipes varies inversely, as the square of the radius of the pipes. What is the ratio of the rates of flow in two pipes of diameter 2 cm and 4 cm?
3 June Shift 2
Easy
Consider the Arithmetic Progression: 3,8,13,18..... . What is the 18th term of the given Arithmetic Progression. Choose the correct answer from the options given below:
3 June Shift 2
Easy
The Association of South East Asian Nations [ASEAN] was established in which of the following year?
3 June Shift 2
Medium
Read the information given below carefully and answer the question that follows: All the six members of a family A, B, C, D, E and F are traveling together. B is the son of C but C is not the mother of B. A and C are a married couple. E is the brother of C. D is the daughter of A. F is the brother of B. | List-I | List-II | |---------------------------------------------|---------| | (A) The number of male members in the family | (I) 3 | | (B) Mother of B | (II) E | | (C) Number of children of A | (III) 4 | | (D) Uncle of F | (IV) A | Choose the correct answer from the options given below:
3 June Shift 2
Medium
Which of the following is NOT an example of reflex action by our nervous system?
3 June Shift 2
Easy
Which of the following events changed the heart of Emperor Ashoka to choose the path of spirituality and peace?
3 June Shift 2
Medium
A basket contains 4 red, 5 blue and 3 green marbles. If three marbles are picked up at random, what is the probability that at least one is blue?
3 June Shift 2
Easy
P and Q can do work separately in 10 and 20 days, respectively. In how many days can they finish it, working together?
3 June Shift 2
Medium
Wife of which of the following Emperors of the Mughal Empire was popularly known as "Nur Jahan"?
3 June Shift 2
Medium
There are 48 students in a college gathering. The ratio of the number of boys to the number of girls in the gathering is 5:3. If the ratio of the boys to girls has to be made 6:5, then how many girls need to be added to the gathering, without changing the numbers of boys who are attending the gathering?
3 June Shift 2
Medium
Which of the following qualifications of eligibility to be appointed as President of India is NOT correct?
3 June Shift 2
Medium
The author of the book Midnight's Children is:
3 June Shift 2
Easy
Which of the following is the largest State in India in terms of area?
3 June Shift 2
Medium
Consider the surface area of the following: (A) A cube having each side as 6 cm. (B) A cylinder with a diameter of base 14 cm and length 80 cm. (C) A cone of diameter 14 cm and a slant height of 10 cm. (D) A sphere of radius 10.5 cm. The surface area of these in decreasing order are: Choose the correct answer from the options given below:
3 June Shift 2
Medium
If the points (1, 7), (4, 2), (-1, -1) and (-4, 4) are the vertices of a square then what is the length of the diagonal of square?
3 June Shift 2
Medium
Identify the Odd One Out:
3 June Shift 2
Medium
The calendar for the year 2019 will be the same as the calendar for which of the following year?
3 June Shift 2
Medium
Consider the compound interest of the following (A) The compound interest on Rs 30500 at 15% per annum for 2 years, (compounded annually) is: Rs. 9836.25 (B) The compound interest of Rs 5000 at 20% per annum for one year is compounded (half-yearly) is: Rs. 6050. Which of the following statements is / are correct?
3 June Shift 2
Medium
In how many different ways can the letters of the word 'RUMOUR' be arranged?
3 June Shift 2
Medium
Read the following information carefully & answer the question given below: I)'P+Q' means 'P is mother of Q' II) 'P-Q' means 'Q is sister of P' III) 'P×Q' means 'P is the brother of Q' IV) 'P÷Q' means 'Q is the father of P' Which of the following means R is nephew of T? A) R×J÷T B)R×T÷J×K C) R-M+T-J D) R-M×J÷T Choose the correct answer from the options given below:
3 June Shift 2
Medium
Five persons are standing in a straight line and facing in the same direction. At one of the extreme end, there is a Doctor and at the other extreme end, there is a Lawyer. A Marketing Officer is standing to the right of a girl. An Author is to the left of the Lawyer. The girl is standing between the Doctor & the Marketing Officer. Counting from the left, determine that the Marketing Officer is at which place in the group?
3 June Shift 2
Easy
Which of the following features of metal is NOT Correct?
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