Consider the following statements: 1. Either of the two belts over the oceans at about 30° to 35° N and S Latitudes is known as Horse Latitude. 2. Horse latitudes are low pressure belts. Which of the statements given above is/are correct?

Which of the following statements are correct regarding power transmission through V-belts? (i) V-belts are used at the high-speed end. (ii) V-belts are used at the low-speed end. (iii) V-belts are of standard lengths. (iv) V-angles of pulleys and belts are standardized. Select the correct answer using the code given below.

A

1 and 3 only

B

2 and 4 only

C

2, 3 and 4

D

1, 3 and 4

Statements : All oceans are rivers. Some springs are rivers. All wells are springs.

Conclusions :
I. Some springs are oceans.
II. Some wells are rivers.
III. Some rivers are oceans.
IV. No well is river.

A

None follows

B

Only either I or III, and IV follow

C

Only either II or IV, and III follow

D

All follow

E

Only either II or IV, and I follow

Directions: Seven different boxes A, B, C, D, E, F and G of different colours viz., Orange, Pink, Purple, Yellow, Blue, Red and Green are arranged one above the other. The box at the bottom of arrangement is numbered 1, the above box is numbered 2 and so on. B is immediately above E. More than two boxes are above the Orange box. The Yellow box is immediately below A. Only one box is between the Orange box and F. G is immediately above the Red box. Only one box is between B and the Pink box. Only two boxes are between the Pink and the Green box. Only two boxes are between the Yellow box and the Orange box. The Purple box is neither at the top nor at the bottom of the arrangement.B is above Pink box. C is immediately above F. Neither C nor G is a Yellow box. G is not a Orange box. Question: Which combination represents the position of C and its colour?

A

6-Green

B

6-Red

C

5-Purple

D

7-Blue

The transfer function of a discrete time LTI system is given by
$$H\left( z \right) = {{2 - {3 \over 4}{z^{ - 1}}} \over {1 - {3 \over 4}{z^{ - 1}} + {1 \over 8}{z^{ - 2}}}}$$
Consider the following statements:
S₁ : The system is stable and causal for
$$ROC:\left| z \right| > {1 \over 2}$$
S₂ : The system is stable but not causal for
$$ROC:\left| z \right| S₃ : The system is neither stable nor causal for
$$ROC:{1 \over 4} Which one of the following statements is valid?

A

Both S1 and S2 are true

B

Both S2 and S3 true

C

Both S1 and S3 are true

D

S1, S2 and S3 are all true

In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if theyseem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statement:
(I) Life is a journey with few known people, few partially known and mostly strangers.
(II) In a journey, the importance of destination is as equal as the pathway of reaching that destination. Conclusions:
(I) Importance of people in life is considerable, as they are our journey mates.
(II) Life teaches us many lessons to face various known and unknown difficulties.

A

Only conclusion II follows

B

Conclusion I and II both follow

C

Neither I nor II follow

D

Only conclusion I follows

Simplify : $${{{5 \over 3} \times {7 \over {51}}{\text{ of }}{{17} \over 5} - {1 \over 3}} \over {{2 \over 9} \times {5 \over 7}{\text{ of }}{{28} \over 5} - {2 \over 3}}}$$

A

$$\frac{1}{2}$$

B

4

C

2

D

$$\frac{1}{4}$$

Direction : Two statements I and II are given. These statement may be either independent causes or may be effects of independent causes or a common cause. One of these statements may be the effect of the other statements. Read both the statements and decide which of the following answer choice correctly depicts the relationship between these two statements. Mark answer :

I. India has surpassed the value of tea exports this year over all the earlier years due to an increase in demand for quality tea in the European market.
II. There is an increase in demand of coffee in the domestic market during the last two years.

A

Statement I is the cause and statement II is its effect

B

Statement II is the cause and statement I is its effect

C

Both the statements I and II are independent causes

D

Both the statements I and II are effects of independent causes

E

Both the statements I and II are effects of some common cause

The value of total latitudes and its adjoining departures were given. Calculate area by departure and total latitudes method. Total Latitudes = 110, 25,0, 0 and adjoining departures = 245, 245, -245, -245.

A

15636 sq. m

B

16536 sq. m

C

16563 sq. m

D

15663 sq. m

Uncle telegrams to his nephew: If I hear no more about that black horse, I will consider the horse mine @ Rs. 3,00,000.
Nephew to his Manager: Do not put that Black horse on auction as it has already been sold to my uncle.
The manager diligently obeys the orders.
The uncle never comes forward to pay Rs. 3,00,000 and take the black horse.
The nephew

A

Can recover Rs. 3,00,000 by suing his uncle as there was a valid contract

B

Cannot recover Rs. 3,00,000 through court of law as there was no contract

C

Cannot recover as it was an internal communication between him and his manager

D

None of the above

In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be trueeven if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statements:
(I) The average age of working people in New Zealand is 58.
(II) Death rate in New Zealand is very low as the climatic conditions are sound. Conclusion:
(I) In New Zealand youth is required in workforce as well as in education.
(II) There are more job opportunities available in New Zealand.

A

Only conclusion II follows

B

Conclusion I and II both follow

C

Neither I nor II follow

D

Only conclusion I follows