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The number of students who obtained a grade point of 1 in exactly three subjects is at least

Area of regular pentagon of side length 2 cm is -

How many points will be on the face opposite to in face which contains 2 points?

A question paper contains eight questions and there is an alternative question for each. In how many ways can one question or more be selected?

Raju lent Rs. 400 to Rakesh for 2 years and Rs. 100 to Rohan for 4 years and received from both Rs. 60 as collective interest. Find the rate of simple interest being calculated.

If Farida can travel South and West along a line segment in the following diagram, in how many ways can she go from A to B?

The given question consists of a set of statements. Find out whether the data provided in the statements are sufficient to answer the question and mark the option:

Out of 64 students, 38 play both chess and cricket. How many students play only chess?
I. Out of 64 students, 22 students don’t play any game 4 students play only cricket.
II. Out of 64 students, 20 are girls and 10 of them don’t play any game

Find the remainder when ${{7^{27}}^{16}}^3$ is divided by 10.

The remainder obtained when (1! + 2! + 3! + …..100!) is divided by 10 is

On which day of the week was birthday of Sachin ?

I. Sachin celebrated his birthday the very next day on which Arjun celebrated his birthday which was a day between Thursday and Sunday.

II. The sister of Sachin was born on the third day of the week starting from Monday and two day’s after Sachin was born.

Pointing to a woman, a man said, "The son of her only brother is the brother of my wife". How is the woman related to the man?

If GAREL is coded as 68107 and MARNSON is coded as 2819539, then how will RANSOM be coded?

In how many ways a cricketer can hit a century if he hits only fours and sixes?

1. 10

   
   

Who among them is $1^{st}$ in English?

Find the sum of $1+\frac{2}{3}+\frac{4}{9}+\frac{6}{27}+\frac{8}{81}+\frac{10}{243}+\cdots \infty$:

Q8. Jonathn travels from Mumbai to Khandala by car in three hours, from 8:00 AM to 11:00 AM. The distance of his car from Mumbai at different instants of time is givein the chart below.

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The car had the maximum average speed during which of the following intervals?

जोनाथन 8:00 AM से 11:00 AM तक तीन घंटे में मुंबई से खंडाला की यात्रा करता है। अलग-अलग समय पर मुंबई से उसकी कार की दूरी को नीचे दिए गए चार्ट में दर्शाया गया है।

निम्नलिखित में से किस समय अंतराल में कार की औसत चाल सर्वाधिक थी?

Q74. Ms. Cigy was to earn Rs.300 and a memento for seven weeks’ work. However, she worked for only 4 weeks and ended up earning Rs.30 and a memento. What is the value of the memento?

सुश्री सिगी सात सप्ताह के एक कार्य हेतु 300 रूपये और एक मोमेंटो पाना चाहती हैं। हालांकि उन्होंने सिर्फ 4 सप्ताह कार्य किया और केवल 30 रूपये के साथ मोमेंटो प्राप्त किया। मोमेंटो की कीमत क्या है?

On which day was Yousuf born? (His date of birth is February 29)

I. He was born between year 2009 and 2015.

II. He will complete 4 yrs on February 29, 2016.

Who acted in Raaz?

There are 5 boxes, each containing 5 cubes of different colours-red, yellow, green, blue and black. I want to draw a different coloured cube from each box. If from the first and the second box, I drew red and green cubes respectively, then what is the maximum number of trials required at the remaining boxes so as to draw different coloured cubes?

A process needs to be completed n times if n units are to be produced. Only different processes can take place simultaneously. What is the minimum time (In hours) required to get two units of the final product? (Given: The final product can only be completed if both the processes W and U are over.)
___

Let $\alpha$,$\beta$ be such that $\pi$ < ($\alpha$ - $\beta$) < 3$\pi$. If sin $\alpha$ + sin $\beta$ = -$\frac{21}{65}$ and cos $\alpha$ + cos $\beta$ = -$\frac{27}{65}$, then the value of \
cos $\frac{\alpha -\beta }{2}$

if x² + y²+ z²- xy+ yz+ zx = 0 then x+y/z is

For how many integer values of m does the equation $x^2-10x+(m+3)(m-4)=0$ have roots of opposite signs?

A square hole of cross sectional area 4 cm${}^2$ is drilled across a cube with its length parallel to a side of the cube. If an edge of the cube measures 5 units, what is the total surface area of the structure so formed?

A man leaves his home and walks at a speed of 12 km per hour, reaching the railway station 10 minutes after the train had departed. If instead he had walked at a speed of 15 km per hour, he would have reached the station 10 minutes before the train's departure. The distance (in km) from his home to the railway station is___

Statements

All countries are streets.

No street is flag.

Some flags are avenues.

Conclusions

I. No avenue is a country.

II. Some streets are flags.

In a certain packing house, grapefruits are packed in bags and the bags are packed in cases. How many grapefruits are in each case, that is packed?

I. The grapefruits always packed 5 to a bag and the bags are always packed 8 to a case.

II. Each case is always 80% full.

Q48. A tank can be filled with water by two pipes A and B together in 36 minutes. If the pipe B was stopped after 30 minutes, the tank is filled in 40 minutes. The pipe B can alone fill the tank in

Statements

All poles are rockets.

Some rockets are trams.

Some trams are ropes.

All ropes are tents.

Conclusions

I. Some tents are trams.

II. Some ropes are poles.

III. Some trams are poles.

IV. Some rockets are poles.

Find the missing term in the sequence
4, 15, 48, 103, __

A grid is set up as shown using 5 horizontal and 6 vertical lines. What are the no. of ways one can go from point P to point Q walking along the grids but not moving upwards or left or retracing a grid?

A number increased by 50% gives 45. The number is