BSSC 4th Graduate Level Practice Set - 10 — BSSC Mock Test 1

150 Questions • 135 Minutes • Mock Test 1 Mock Test in Hindi and English

Sample Questions from this Test

Question 1:

What is the third proportional to 4a²b and 8ab²?
A.8ab²
B.8a³b
C.16b³
D.16a²b

Let the third proportional be x. According to the question, 4a²b : 8ab² :: 8ab² : x
⇒ 4a²b / 8ab² = 8ab² / x
⇒ x = 64a²b⁴ / 4a²b = 16b³.

Question 2:

A dealer sells his goods at a 20% profit, but weighs only 800 g instead of 1 kg. Find his actual profit percentage.
A.40%
B.44%
C.42%
D.50%

He weighs 800g instead of 1 kg. Profit from false weight = (200 / 800) × 100 = 25%.
Overall profit % using successive formula = 20 + 25 + (20 × 25) / 100 = 50%.

Question 3:

If PT is a tangent at point T to a circle with center O, and OP = 17 cm and OT = 8 cm, then find the length of the tangent segment PT.
A.15 cm
B.13 cm
C.14 cm
D.16 cm

According to the question, in right-angled ΔOTP, ∠T = 90°.
By Pythagoras theorem, PT² = OP² - OT² = 17² - 8² = 289 - 64 = 225 ⇒ PT = 15 cm.

Question 4:

What is the value of (a + b)³ - (a³ + b³)?
A.3ab(a+b)
B.-3ab(a+b)+b³
C.-ab(a-b)+2b³
D.3ab(a-b)b³

(a+b)³ - (a³+b³) = a³ + b³ + 3ab(a+b) - a³ - b³ = 3ab(a+b).

Question 5:

Three successive discounts of 10% are equivalent to a single discount of?
A.25.1%
B.19.0%
C.27.1%
D.26.2%

Two successive discounts of 10% = 10 + 10 - (10 × 10) / 100 = 19%.
Now calculating for 19% and the third 10% discount = 19 + 10 - (19 × 10) / 100 = 29 - 1.9 = 27.1%.

Question 6:

In a certain code language, MEND is written as LCKZ and SORDID is written as RMOZDX. How will COMPLEX be written in that language?
A.BMHLGZR
B.BMHMGYQ
C.BOJLHYR
D.BMJLGYQ

Just as M(-1) -> L, E(-2) -> C, N(-3) -> K, D(-4) -> Z;
similarly C(-1) -> B, O(-2) -> M, M(-3) -> J, P(-4) -> L, L(-5) -> G, E(-6) -> Y, X(-7) -> Q. Hence, the answer is BMJLGYQ.

Question 7:

Select the option that indicates the logical and meaningful order of the given words. 1. India 2. Guntur 3. Asia 4. Bapatla 5. Andhra Pradesh
A.3, 1, 5, 4, 2
B.3, 1, 5, 2, 4
C.4, 2, 5, 3, 1
D.4, 2, 1, 5, 3

The logical and meaningful order is descending by geographical area: (3) Asia -> (1) India -> (5) Andhra Pradesh -> (2) Guntur -> (4) Bapatla.

Question 8:

Select the option in which the words share the same relationship as that shared by the given pair of words - Oncology : Cancer
A.Mycology : Fungi
B.Histology : Birds
C.Food : Bromatology
D.Seismology : Tissue

Just as Cancer is studied under Oncology, similarly, Fungi are studied under Mycology.

Question 9:

Which number will replace the question mark (?) in the following series? 3, 3, 11, 19, 59, ?
A.151
B.112
C.115
D.121

This is an alternating series.
For odd positions: 3 (+8) = 11, 11 (+48) = 59.
For even positions: 3 (+16) = 19, 19 (+96) = 115. Thus, the missing number is 115.

Question 10:

Polysaccharides, proteins, nucleic acids, and esters are known as _______.
A.Primary metabolites
B.Secondary metabolites
C.None of the above
D.Both primary and secondary metabolites

Polysaccharides, proteins, nucleic acids, and esters are known as primary metabolites. They are directly involved in energy production, normal growth, and development.

Extra Info: Secondary metabolites include compounds like alkaloids, tannins, and resins. While not essential for basic survival, they provide crucial ecological advantages such as defense against predators.

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