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In a stadium there are four stands Rajiv Gandhi stand, Sunil Gavaskar stand, Venkatesh Prasad stand and Pt. Din Dayal stand in which seats are alloted to commuters. The number of vacant  seats in Rajiv Gandhi stand, Sunil Gavaskar stand, Venkatesh Prasad stand and Pt. Din Dayal stand are 11, 8, 13 and 7 respectively. Anil is buying a ticket find the probability that he get a seat in Venkatesh Prasad stand.
How many persons are standing there in a straight line, all of them facing the north? I. Only one person stands to the left of Z. Only three person stand between Z and A. The person who is immediate right of A stand at the extreme right end of the line. II. Only two persons stand to the left of Z. Only two person stand between Z and H. H stand to the immediate right of A. A stands exactly in the middle of the line.
P, Q and R invested in a business for 2.5 years, such that P’s initial investment was 60% more than Q’s initial investment, while R’s initial investment was 25% less than P’s initial investment. After 10 months, each of them invested 25% of their initial investment. What part of the total profit will P received after 2.5 years?
A student reaches the bus station at speed of 8 km/hr on the cycle, boards the bus to the B point whose speed is 15 km/hr. From B to the rickshaw stand he gets a lift from the bike which travels at speed of 20 km/hr. From the rickshaw stand to the exam center he travels at speed of 12 km/hr. If the distance between home to the bus station, bus station to B, B to rickshaw stand, Rickshaw stand to exam center is equal then find student’s average speed. (Approximate values whenever felt necessary)
Let n be the number of ways in which 5 men and 6 women can stand in a queue such that all the women stand consecutively. Let m be the number of ways in which the same 11 persons can stand in a queue such that exactly 5 women stand consecutively. The value of m/n is
When the MP of an article is increased by 25%, and the article is sold at a 40% discount on new MP, the profit becomes 3 times of the initial profit. The initial MP of the article is 60% above its CP. If the initial MP of the article is Rs. 2400, find the initial profit percent on that article?
Anil and Ruhi started a business with an initial investment of 5 : 8. After four months Anil doubled his investment and Ruhi reduced to 60% of initial investment and Sujeet joined them with the sum of Ruhi’s initial and Anil’s current investment. After another 8 months they distributed the profit in which Sujeet receives 18,000 then find the initial investment of Ruhi?
Consider a group comprising of 4 students: Reena, Beena, Meena and Neena, who stand in a row. Reena and Beena stand in 6th and 7th positions respectively from the left. Meena and Neena stand in the 4th and 5th positions respectively from the right. When Beena and Meena exchange their positions, then Beena will be 15th from the left. Originally, Neena's position from the left is:
Consider group of four friends – Ras, Binny, Manas and Nick, who stand in a row. Ras and Binny stand at 6th and 7th positions respectively from the left. Manas and Nick stand at 4th and 5th positions respectively from the right. When Binny and Manas exchange their positions, then Binny will be 15th from the left. Originally, Nick’s position from the left is?
STP-তে একটি আদর্শ গ্যাসকে প্রথমে তার প্রাথমিক আয়তনের এক-তৃতীয়াংশে সংকুচিত করা হয়, এবং তারপর প্রসারিত হতে দেওয়া হয় যতক্ষণ না তার চাপ প্রাথমিক চাপের অর্ধেক হয়। উভয় প্রক্রিয়ায় গ্যাসের তাপমাত্রা স্থির থাকে। যদি গ্যাসের প্রাথমিক অভ্যন্তরীণ শক্তি । হয়ে থাকে তাহলে এর চূড়ান্ত অভ্যন্তরীণ শক্তি কত? (An ideal gas at STP is first compressed to one-third of its initial volume and then allowed to expand until its pressure is half the initial pressure. The temperature of the gas remains constant during both the processes. If the initial internal energy of the gas is U, what is its final internal energy?)