SSC Multi-Tasking Staff (Non Technical) Exam>Chapter 5 - Practice Set>NUMERICAL APTITUDE>Q 33

EASY

NRA CET - Graduate Level

IMPORTANT

Earn 100

The angle of elevation of a cloud from a point $200$ m above a lake is $30 °$ and the angle of depression of its reflection in the lake is $60 °$ . The height of the cloud is:

50% studentsanswered this correctly

Important Questions on Practice Set

EASY

NRA CET - Graduate Level

IMPORTANT

SSC Multi-Tasking Staff (Non Technical) Exam>Chapter 5 - Practice Set>NUMERICAL APTITUDE>Q 34

A

and

B

can finish a work in

10

days while

B

and

C

can do it in

18

days.

A

started the work, worked for

5

days, then

B

worked for

10

days and the remaining work was finished by

C

in

15

days. In how many days could

C

alone have finished the whole work?

EASY

NRA CET - Graduate Level

IMPORTANT

SSC Multi-Tasking Staff (Non Technical) Exam>Chapter 5 - Practice Set>NUMERICAL APTITUDE>Q 35

A B C D

is a cyclic quadrilateral in which

B C ∥ A D

,

∠ A D C = 110^{°}

&

∠ B A C = 50^{°}

. Find

∠ D A C =

?

MEDIUM

NRA CET - Graduate Level

IMPORTANT

SSC Multi-Tasking Staff (Non Technical) Exam>Chapter 5 - Practice Set>NUMERICAL APTITUDE>Q 36

In a triangle

A B C

, the internal bisector of the angle

A

meets

B C

at

D

. If

A B = 4

,

A C = 3

and

∠ A = 60 °

, then the length of

A D

is

EASY

NRA CET - Graduate Level

IMPORTANT

SSC Multi-Tasking Staff (Non Technical) Exam>Chapter 5 - Practice Set>NUMERICAL APTITUDE>Q 37

Some amount out of

R s 7000

was lent at

6 %

per annum and the remaining at

4 %

per annum. If the total simple interest from both the fractions in

5 y r s

was

R s 1600

, find the sum lent at

6 %

per annum.

EASY

NRA CET - Graduate Level

IMPORTANT

SSC Multi-Tasking Staff (Non Technical) Exam>Chapter 5 - Practice Set>NUMERICAL APTITUDE>Q 38

A is

30 %

more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in

23

days?

EASY

NRA CET - Graduate Level

IMPORTANT

SSC Multi-Tasking Staff (Non Technical) Exam>Chapter 5 - Practice Set>NUMERICAL APTITUDE>Q 39

A B C D

is a square,

F

is the mid-point of

A B

and

E

is a point on

B C

such that

B E

is one-third of

B E C

. If area of

△ F B E = 108 m^{2}

then the length of

A C

is?

EASY

NRA CET - Graduate Level

IMPORTANT

SSC Multi-Tasking Staff (Non Technical) Exam>Chapter 5 - Practice Set>NUMERICAL APTITUDE>Q 40

If $a^{2} = b + c$ , $b^{2} = c + a$ , $c^{2} = c + a$ . Find the value of $\frac{1}{1 + a} + \frac{1}{b + 1} + \frac{1}{1 + c}$

EASY

NRA CET - Graduate Level

IMPORTANT

SSC Multi-Tasking Staff (Non Technical) Exam>Chapter 5 - Practice Set>NUMERICAL APTITUDE>Q 41

If $x + \frac{1}{y} = 1$ and $y + \frac{1}{z} = 1$ , then what is the value of $x y z$ ?