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Statements: All flutes are instruments.

Some instruments are guitars.

Conclusions: I. No guitar is an instrument.

II. Some guitars are flutes.

Let $T_n$ be defined as the sum to n terms of the series T. Find $T_{34}$

$T=2^{88}-2^{87}-2^{86}-2^{85}.......$

Answer the questions based on the information given below.
A microorganism Xeta combines with another microorganism of its kind to form a single microorganism unit. If it does not find another Xeta every second, it dies. There are $2^x-1$ Xeta in the incubation flask initially. Xeta will find another Xeta provided it is there in the same chamber.

Let $N={55}^3+{17}^3-{72}^3.$ N is divisible by:

Among the three, Neeta received the least amount in bank deposits, while Geeta received the highest. The value of the assets was distributed equally among the children, as were the gold coins.
How much did Seeta receive in bank deposits (in lakhs of rupees)?

If 2a² - 3a + 15 < 20, then the solution set of 'a' for the inequality is

Find the sum of the series $\frac{1}{4\times 7}+\frac{1}{7\times 10}+\frac{1}{10\times 13}+....+\frac{1}{25\times 28}.$

If the general term of a sequence is given by $\frac{(n^2+n)}{n}$ , then the sum of first n terms of the sequence is given by

Why can't we take roots of negative numbers?

A car can travel 25% faster than a train. Both start from point A at the same time and reach point B 50 kms away from A at the same time. On the way, however, the car lost about 25 minutes while stopping at the petrol pump. The speed of the train is:

What score has Sonia obtained in an exam with maximum score 20?

I. Sonia obtained two digit marks. Her score were not in decimals.

II. Sonia obtained more than 9 marks in the test

In a group of $70$ students, $40$ like cricket, $15$ like both cricket and badminton, then the number of students who like only badminton is

Suppose $S_1$ and $S_2$ are two unequal circles; AB and CD are the direct common tangents to these circles. A transverse common tangent PQ cuts AB at R and CD at S. If AB = 10, then RS is

Suppose $S_1$ and $S_2$ are two unequal circles; AB and CD are the direct common tangents to these circles. A transverse common tangent PQ cuts AB at R and CD at S. If AB = 10, then RS is

Three circles, each of radius 20 and centres at P, Q, R. Further, AB= 5, CD= 10 and EF= 12. What is the perimeter of the triangle PQR?

If p is the arithmetic mean of the positive numbers a and b, and the reciprocal of the number q is the arithmetic mean of the reciprocals of a and b. then p– q =?

What is Amda's score in F?___

In the figure given below, a rectangle of perimeter 76 units is divided into 7 congruent rectangles.

What is the perimeter of each of the smaller rectangles?

Train X starts from point A for point B at the same time that train Y starts from B to A. Point A and B are 300 km apart. The trains are moving at a constant speed at least at 25 km/h. The trains meet each other 3 hours after they start. If the faster train takes at least 2 more hours to reach the destination, by which time will the slower train have definitely reached its destination? (ignoring the length of trains in crossing)

The time complexity of computing the transitive closure of a binary relation on a set of n elements is

Find the missing term: 1, 4, 9, 25, 36, 49, 64,_

Question 54

The cost of a sewing machine is Rs 7000. Its value depreciates at 8% per annum. Then, the value of the machine after 2 yr is Rs 5924.80.

A government land consists of 16 square plots of equal size. If I start from the SW corner and move towards the NE corner (movement is always in the positive direction), in how many different ways can I reach the NE corner?

The remainder obtained when (1! + 2! + 3! + …..50!) is divided by 15 is