Hssc Group ‘d’ Exam (Shift – I)

41. Age of a father is 3 times that of his son. 5 years later, he will be two and half times as old as his son. How old is his son now?

(1) 15 years
(2) 10 years
(3) 12 1\2 years
(4) None of these

Correct Answer: (1) 15 years

Solution:Let son's age be x years.

∴Father's age = 3x years

According to the question,

5 years hence,

3x + 5 = 2.5(x + 5)

⇒ 3x + 5 = 2.5x + 12.5

⇒3x - 2.5x = 12.5 - 5

⇒ 0.5x = 7.5

⇒ x = 7.5/0.5

= 15 years Son's age

42. Badkhal lake is located in

(1) Faridabad
(2) Thaneshwar
(3) Karnal
(4) Hathni

Correct Answer: (1) Faridabad

Solution:Badkhal Lake was a natural lake situated in Badkhal village near Faridabad in Haryana. Fringed by the hills of the Aravalli Range this was a man-made embankment. Owing to unchecked mining in neighbouring areas, the lake has now totally dried up.

43. If 4 is a zero of polynomial p(x)=-2x² + 3x + 5k then value of k is

(1) 4
(2)-5
(3) 5\4
(4)-1

Correct Answer: (1) 4

Solution:P(X)= -2x² + 3x + 5k

4 is a root of P (x).

∴ P(4) = 0

⇒ - 2 * (4)²+ 3 * 4 + 5k = 0

⇒ - 32 + 12 + 5k = 0

⇒5k = 20⇒ k = 4

44. Hiuen Tsang is a _____traveller.

(1) English
(2) Roman
(3) Chinese
(4) Portuguese

Correct Answer: (3) Chinese

45. _______ is essential for the synthesis of thyroxin.

(1) Potassium
(2) Sodium
(3) Calcium
(4) lodine

Correct Answer: (4) lodine

Solution:Iodine is needed for proper synthesis and function of the thyroid hormone thyroxine. Four iodine molecules are needed for the synthesis of thyroxine. A deficiency of jodine leads to decreased production of thyroxine, enlarges the thyroid tissue and causes the disease known as simple goitre

46. Sahibi river is also called as

(1) Drishadwati
(2) Kumudwati
(3) Cauveri
(4) Jagadadri

Correct Answer: (1) Drishadwati

Solution:Several modern scholars identify theSahibi River with the Drishadvati river of Vedic period, on the banks of which in the Vedic state of Brahmavartaor Vedic Sanskriti developed. The Drishadvati River had formed one border of the Vedic state of Brahmavarta while other was Saraswati river. This is mentioned in the Rigveda and the Manusmriti.

47. In computers 'CMOS' stands for

(1) Computer monitoring operating system
(2) Complementary Metal Oxide Semiconductor
(3) Complementary Metal Operating Semiconductor
(4) Commonly maintaining Operating System

Correct Answer: (2) Complementary Metal Oxide Semiconductor

Solution:CMOS stands for Complementary Metal Oxide Semiconductor. It is one of the most popular technology in the computer chip design industry and broadly used today to form integrated circuits in numerous and varied applications. CMOS technology is used in microprocessors, microcontrollers, static RAM, and other digital logic circuits.

48. Which of the following movements is known as Leaderless Movement/Protest?

(1) Simon Go Back Protest
(2) Individual Sathyagraha
(3) Quit India Movement
(4) Swadeshi Movement

Correct Answer: (3) Quit India Movement

Solution:Quit India Movement was a leaderless movement as the important leaders of freedom struggle were under house arrest or in jail. It was more a People's movement. It was led by masses, all acting as leaders. Gandhiji left the movement in the hands of people, to be guided by their own conscience.

49. If 3tanA= 4, then value of

√sec A - cos ecA \ sec A + cos ecA iS

(1) 1\7
(2)√2\7
(3) 1\√7
(4) √3\√7

Correct Answer: (3) 1\√7

Solution:

50. If 14x² + 13x – 15 is divided by 7x - 4, the remainder is

(1) 3
(2)-3
(3) 0
(4) None of these

Correct Answer: (2)-3

Solution:P(x) = 14x² + 13x - 15

Q (x) = 7x - 4

∴ 7x -4=0 ⇒X = 4\7

.. Required remainder

= P 4/7

=14 * 4/7 *4\7+ 13 * 4/7 - 15

= 32/7 + 52/7 - 15

=84\7 -15 = 12-15= -3