The McLaurin series expansion for 1/1 + x is

Given below are two statements. 

Statement I: Some mangoes are ripe. 

Statement II: All bananas are ripe. 

Which of the following conclusions is correct? 

A. A fruit that is not ripe is not a banana. 

B. All ripe fruits are bananas. 

C. A fruit that is not ripe is not a mango. 

D. All ripe fruits are mangoes.

There is some relationship between diagrams A and B. The same relationship persists between diagrams C and D. Find the right diagram for D from the given alternatives.

A. (1) 

B. (2) 

C. (3) 

D. (4).

Choose the pair that best matches the pair, Rain: Drizzle. 

A. Swim: Dive 

B. Weep: Cry 

C. Smile: Laugh 

D. Run: Walk. 

If ax² + bx + c = 0, a ≠ 0, has equal roots then c is equal to is

A unique polynomial of degree …….. passes through n + 1 given points on the plane (no pair of points lying above one another). 

(a) n + 1

(b) n + 1 or less

(c) n

(d) n or less

The incomes of 100 families in a certain region are stored in a computer file. The income ranges from Rs. 10,000.00 per year to Rs. 42,500.00 per year. By mistake, the highest income in the data set is recorded as Rs. 4,25,000.00. Which of the following statements regarding the effect of the mistake is true? 

A. The average income is overestimated by Rs. 4250.00 

B. The median income is correctly estimated 

C. The median income is overestimated 

D. The interquartile range is overestimated.

In the question below, there are three statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the given statements.

Statements: 

(1) No fan is a cooler.

(2) Some coolers are heaters.

(3) All tubes are fans.

Conclusions:

(I) No heater is a tube.

(II) Some coolers are tubes. 

A. Only (I) is a valid conclusion. 

B. Only (II) is a valid conclusions. 

C. Both (I) and (II) are valid conclusions. 

D. Neither (I) not (II) is a valid conclusion.

Today is 3 rd November. The day of the week is Monday. This is a leap year. What will be the day of the week on this day after three years? 

A. Wednesday 

B. Thursday 

C. Tuesday 

D. Monday

Identify the correct sentence. 

A. In recent games, the performance of our players was worse as I had expected. 

B. In recent games, the performance of our players was worse than I had expected. 

C. In recent games, the performance of our players was worse than expectation. 

D. In recent games, the performance of our players was worst than that was expected.