SAT (Stage-1) Mock Test

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SAT (Stage-1) Mock Test - 56

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following statements is/are correct?

a. Glomeruli filter the blood.
b. Small molecules collect as filtrate in tubules.
c. Bowman's capsule allows selective reabsorption of useful substances into blood capillaries.

A
Only b

B
Only a

C
Only c

D
Only b and c

Solution

A glomerulus is a network (as a tuft) of capillaries located at the beginning of a nephron in the kidney. It serves as the first stage in the filtering process of the blood carried out by the nephron in its formation of urine. The glomerulus is surrounded by a cup-like sac known as Bowman's capsule.
Question 2
1 / -0

In which of the following forms does the liver store food?

A
Glucose

B
Glycogen

C
Starch

D
Albumen

Solution

Glycogen is the storage form of glucose in the animal body. It is stored in the liver and muscles.
Question 3
1 / -0

Waste products are stored as ________ in old xylem plants.

A
sucrose

B
glucose

C
resins

D
water

Solution

Waste products are stored as resins in old xylem plants. Plants also excrete some waste substances into the soil around them.
Question 4
1 / -0

According to ten percent law, only 10% of the energy is transferred to the next trophic level in a food chain. This law was proposed by

A
Frank Edwin

B
Raymond Lindeman

C
Henry Gleason

D
Arthur Tansley

Solution

In 1942, Lindeman put forth the famous ten percent law for the transfer of energy from one trophic level to another in a food chain.
Question 5
1 / -0

Which of the following organisms will most likely be affected by egg shell thinning by DDT?

A
Tortoise

B
Crocodile

C
Bald eagle

D
Electric rays

Solution

In birds, the accumulation of DDT leads to the thinning of egg shells, thereby causing premature deaths of the embryos. Since bald eagle is a bird, it is most likely to be affected by DDT.
Question 6
1 / -0

If the roots of px² - (p + q)x + q = 0 are equal, then

A
2p = q

B
p = 2q

C
p = q

D
None of these

Solution

For equal roots, Discriminant, D = 0
[-(p + q)]² - 4pq = 0
(p + q)² - 4pq = 0
or, (p - q)² = 0
or, p = q
Question 7
1 / -0

A company increases its sale each week by £400. If the company made a sale of £1400 in the 1^st week, then what will be its sale in the 15^th week?

A
£6000

B
£6500

C
£7000

D
£7500

Solution

Common Difference, d = 400
First Term, a = 1400
Number of terms, n = 15
Sale in the 15th week = a + (n - 1)d
= 1400 + (15 – 1)400
= 1400 + 5600 = £7000
Question 8
1 / -0

The angle of elevation of the top of a vertical tower from a point P on the ground is 60°. At a point Q, 40 m vertically above P, the angle of elevation is 45°. Find the height of the tower.

A

B

C

D

Solution
Question 9
1 / -0

If sin x = cos² x, then the value of cos²x (1 + cos²x) will be

A
1

B
0

C
2

D
-1

Solution

cos²x (1 + cos²x)
= sin x (1 + sin x)
∵ (sin x = cos²x)
= sin x + sin² x
= cos² x + sin² x
∵ (sin x = cos²x)
= 1
Question 10
1 / -0

In the given figure, PQ || ST, ∠PQR = 110°, ∠RST = 130°; find the value of ∠QRS.

A
20°

B
50°

C
60°

D
70°

Solution

∠VQR = 70°
∠QVR = 50°
So, ∠QRS = 180° – (70° + 50°) = 60°
Question 11
1 / -0

A wire is in the shape of a rectangle. Its length is 25 cm and breadth is 15 cm. If the same wire is rebent into the shape of a square, what will be the measure of each side? Also find which shape encloses more area.

A
15 cm; Square

B
15 cm; Rectangle

C
20 cm; Rectangle

D
20 cm; Square

Solution

Perimeter of rectangle = = 2(25 + 15) = 80 cm
Perimeter of square = 80 cm
Side of square = 80/4 = 20 cm
Area of rectangle = 25 × 15 = 375 cm²
Area of square = (20)² = 400 cm²
Question 12
1 / -0

In the given figure, AB || CD. Which of the following relationships is definitely true?

A
ar(ΔABC) = 2ar(ΔADB)

B
ar(ΔBCD) = 2ar(ΔABD)

C
ar(ΔABD) = 2ar(ΔAOB)

D
ar(ΔABC) = ar(ΔABD)

Solution

Since AB || CD, and ΔABC and ΔABD have a common base AB.
So, ar(ΔABC) = ar(ΔABD). [Triangles on the same base and lying between the same parallels are equal in area]
Question 13
1 / -0

In the above given circle, find the area of the shaded region if the radius of the circle is 14 cm.

A
850 cm²

B
518 cm²

C
420 cm²

D
450 cm²

Solution
Question 14
1 / -0

In the given figure, ABCQ is a quadrant of a circle with radius 14 cm. With AC as diameter, a semicircle is drawn. Find the area of the shaded portion.

A
84 cm²

B
98 cm²

C
154 cm²

D
144 cm²

Solution

Area of sector AQCB = Area of the triangle ABC + Area of the region AQCA
Area of the region AQCA = Area of sector AQCB - Area of the triangle ABC

Area of the shaded region = Area of the semicircle - Area of the region AQCA = 154 - 56 = 98 sq.cm
Question 15
1 / -0

A spherical ball of radius 7 cm is melted and recast into 8 small balls of the same radius. The radius of each smaller ball is

A
7 cm

B
3.5 cm

C
14 cm

D
10.5 cm

Solution

Radius of the bigger ball r₁ = 7 cm
Let the radius of the smaller ball be r₂ cm.

Now,

Since the sum of the volumes of the small balls is equal to the volume of the bigger ball.
Therefore,
Volume of bigger ball = 8 × Volume of smaller ball