10 self study question with answer--1

Question 1

Direction: In the questions given below out of four alternatives, choose the one which can be substituted for the given word/sentence.

One who is liked by people-

  Samaritan

  Popular

  Philanthropist

  Misanthropist

It's 'Popular '
Popular: लोकप्रिय

Question 2

No longer in use-

  Impracticable

  Obsolete

  Absolute

  Useless

It's 'Obsolete '
Obsolete: अप्रचलित

Question 3

A child born after the death of his father-

  Posthumous

  Bastard

  Kiddy

  Stepson

It's 'Posthumous'
Posthumous: मरणोत्तर

Question 4

One who is present everywhere-

  God

  Omnipotent

  Omnipresent

  Visible

It's 'Omnipresent'

Question 5

A document written by hand-

  Script

  Autobiography

  Manuscript

  Autography

It's 'Manuscript'
Manuscript: हाथ से लिखी हुई पुस्तक

Question 6

The students in three classes are in the ratio 4:6:9. If 12 students are increased in each class, the ratio changes to 7:9:12. Then the total number of students in the three classes before the increase is.

  100

  114

  95

  76

It's '76 '
Ratio before increase in number = 4:6:9
Ratio after increase in number = 7:9:12
Increased ratio = 3; Increase in number of students = 3x
⇒ 3x = 12 ⇒ x = 4
∴ number of students in three classes before the increase = 4x+6x+9x
= 4*4+4*6+4*9 = 16+24+36 = 76

Question 7

The sum of three consecutive odd numbers and three consecutive even numbers together is 231. Also the smallest odd number is 11 less than the smallest even number. What is the largest odd number and the largest even number?

  82

  83

  74

  None of these

It's 'None of these '
Let the smallest even number be x. Then the smallest odd number will be x-11. Also,
(x+x+2+x+4)+(x-11+x-9+x-7) = 231
Largest even number = 42+4 = 46
Largest odd number = 42-7 = 35
Sum = 46+35 = 81

Question 8

Seven girls can do a piece of work in 13 days, six boys do the same piece of work in 12 days, nine men can do the same piece of work in nine days and six women can do the same piece of work in 14 days. Who are the most efficient?

  Boys

  Girls

  Women

  Men

It's 'Boys'
One girl can complete the work in 7*13 = 91 days.
One boy can complete the work in 6*12 = 72 days.
One man can complete the work in 9*9 = 81 days.
One woman can complete the work in 6*14 = 84 days.
Hence, boys are most efficient

Question 9

The values of sin²5° + sin²25° + sin²45° + sin²65° + sin²85° is equal to

  2.5

  3

  1.5

  2

It's '2.5'
Sin²5° + Sin²25° + Sin²45° + Sin²65° + Sin²85°
[(5°, 85°) and (25°, 65°) are complementary angle
Sin²5° + Sin²25° + Sin²45° + Cos²25° + Cos²5°
(Sin²5° + Cos²5°) + (Sin²25° + Cos²25°) + Sin²45°
1+1+1/2 = 2.5

Question 10

If Tan (x+Y) Tan(x-y) = 1, then the value of Tan (2x/3) is:

  1/√3

  2/√3

  √3

  1

It's '1/√3'
Tan(x+Y) Tan(x-y) = 1
∴ Tan (x+y) = 1/ Tan (x-y) = cot (x-y)
∴ (x+y) and (x-y) are complementary angle
∴ X + y +x- y = 90 → 2x = 90
∴ Tan = tan(90/3) = tan30 ° = 1/√3