All India Sainik Schools Class 9 Mock Test - 1 - Class 9 MCQ

a6a41 is the number.
(a + 6 + a + 4 + 1) should be divisible by 9.
Or, (2a + 11) should be divisible by 9.
We know that a number is divisible by 9 if the sum of its digits is divisible by 9.
2a + 11 = 9 or 2a + 11 = 18 or 2a + 11 = 27
But 2a + 11 = 9 or 2a + 11 = 18 is not possible, so
2a + 11 = 27 a = 8

Let the units digit be x.
Then, tens digit is x + 5.
Number = 10(x + 5) + x = 10x + 50 + x = 11x + 50
When the digits are reversed, the number is:
10x + x + 5 = 11x + 5
According to the question,
11x + 50 − 5(2x + 5) = 10x + x + 5
x + 25 = 11x + 5
10x = 20
x = 2
So, the number is 72.

Volume of tank = 59400 m³
Diameter = 60 m
Radius = Diameter/2
= 60/2
= 30 m
Volume of the tank = πr²h
59400 = 22/7× 30 × 30 × h
h = 59400 × 7/22 x 1/900
h = 21 m

Let the terms be x₁, x₂, x₃, ..., x₇.
Now from the information given in the question:
x₁ + x₂ + x₃ + x₄ + x₅ + x₆ + x₇ = 7 × 7 = 49
When 3 is added to each term, then
Total sum = 49 + 3 × 7 = 49 + 21 = 70
When each term is divided by 2, thenTotal sum = 70/2 = 35
So, the new mean, A = (35/7) = 5
So, the difference between them is:
7 - 5 = 2

4284 - On adding the digits, we get 4 + 2 + 8 + 4 = 18 (divisible by 3).
As 4284 is divisible by both 4 and 3, so it is divisible by 12.

Volume of a cylinder = π r²h …………. (1)
Where,
π = 22/7
r = base radius of the cylinder
h = height of the cylinder
Given: Volume of the cylinder = 198 m³
Radius of the cylinder = 3 m
Height of the cylinder = ?
Thus, 198 = π (3)²h
198 = 22/7 x 9 x h [∵ (3)² = 3  3 = 9]
h = 7 m

A cylinder with radius r units and height h units has a volume of V cubic units, given by:
V = π r² h
34,650 = π r² x 25
r² = (34650 x 7) / (22 x 25)
 r² = 441
r = 21
Diameter = 2 × Radius = 2 × 21 = 42 cm

Now, according to the question:
 (18x - 38) / (4x - 6) = 4
 18x - 38 = 16x - 24
 2x = - 24 + 38
 2x = 14
 x = 7

In this, we will use the positions of letters in alphabetical order (where A = 1, B = 2, ... Z = 26).
In the second row,
R(18) - 3 = O(15)
O(15) - 4 = ?
? = 15 - 4 = 11; which is 'K'.

In each figure, number in the middle is obtained by adding the product of numbers in the top and left squares and product of numbers in the bottom and right squares.
For instance,
(4 × 3) + (2 × 5) = 12 + 10 = 22
and (1 × 2) + (7 × 6) = 2 + 42 = 44
Similarly, (8 × 7) + (2 × 5) = 56 + 10 = 66
Thus, the missing number is 66.
So, option 4 is correct.

The first three and the last three letters of the first group are separately reversed in order to obtain the second group.
EIGHTY >> (EIG)(HTY) >> (GIE)(YTH) >> GIEYTH
OUTPUT >> (OUT)(PUT) >> (TUO)(TUP) >> TUOTUP

There are 16 triangles: ADC, ACB, BCE, DCE, DFE, DGF, GFH, FHE, ADB, ABE, GHE, DGH, DAE, DBE, DEH and DGE.

According to question, the required diagram is:

BC = 80 km; CD = FE = 50 km
DE = FC = 70 km
Therefore,
Required distance, BF = BC – FC = 80 km – 70 km = 10 km

According to the question,
F = 6, C = 3; 6/3 = 2; B = 2
X = 24, D = 4; 24/4 = 6; F = 6
R = 18, I = 9; 18/9 = 2; B = 2
Therefore, the correct answer is B.
Hence, option 4 is correct.

Number of rectangles in the innermost figure IJKL = IMPO + MJRP + OPNK + PNLR + IJLK + IMNK + MNLJ + IJRO + ORLK = 9
Total rectangles = 9 + 1 (EFHG) + 1 (ABDC) + 2 (outer rectangles) = 13

'Barren' means 'having little or no vegetation; desolate and lifeless,' while 'fertile' means 'capable of growing abundant crops or plants.' So, option 4 is the correct answer.

The answer can be found in the line, "The surplus he has exchanged with other members of the community, acquiring, in exchange the things he needs that others have produced."

Asteroids are minor planets, especially of the inner solar system. Although asteroids orbit the sun like planets, they are much smaller than planets. There are lots of asteroids in our solar system. Most of them live in the main asteroid belt—a region between the orbits of Mars and Jupiter.

The process of centrifugation is used in dairies to separate cream from milk.
Centrifugation is a method for separating the suspended particles of a substance from a liquid in which the mixture is rotated at a high speed in a centrifuge machine. It is a physical and irreversible change.

A 'meteoroid' is a small rocky or metallic body in outer space. 'Meteoroids' are significantly smaller than asteroids, and range in size from small grains to one-meter-wide objects. A 'meteoroid' would become a 'meteor' if it entered the earth's atmosphere.

This is the correct option as only statement 'b' is false. Electric cell is the source of electric energy in the torch.

It consists mostly of hydrogen at very high temperature. At this temperature, the hydrogen atoms fuse slowly and get converted into helium by releasing large amount of heat and energy.

Iron is eaten up by corrosion.
2Fe (s) + 3/2O₂ (g) + xH₂O (l) Fe₂O₃.xH₂O

The working principle of a brake is that it creates friction between the wheel and a stationary body to stop the rotatory motion of the wheel, with respect to the surface with which the wheel is in contact. This is not the case in ships.

The commission consisted of seven members - four Conservatives, two Labourites, and one Liberal, under the joint chairmanship of the distinguished Liberal lawyer, Sir John Simon, and Clement Attlee.

Veer Kunwar Singh (1777-1858), one of the leaders of the Indian Rebellion of 1857, belonged to a royal Kshatriya (Rajput) house of Jagdispur, currently a part of Bhojpur district, Bihar, India.

Government of India Act, 1935 was passed by British Parliament in August 1935. With 321 sections and 10 schedules, this was the longest act passed by British Parliament. This act gave representation to the Indians for the first time in the legislation.

Fort St. George is the first English fortress in India, founded in 1644 at the coastal city of Madras, the modern city of Chennai.

Lord Ripon repealed the Vernacular Press Act of 1878 passed by Lord Lytton by Act III of 1882 and thus news papers published in vernacular languages were allowed equal freedom with the rest of the Indian Press. This action of Ripon went a long way in conciliating public opinion. Hence, it is wrongly matched.