Career Focus Math

How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated? 5 10 15 20

Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed? 210 1050 25200 21400 None of these

In how many ways can the letters of the word 'LEADER' be arranged? 72 144 360 720 None of these

In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together? 810 1440 2880 50400 5760

In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together? 360 480 720 5040 None of these

A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent? Rs. 45 Rs. 50 Rs. 55 Rs. 60

Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit? Rs. 9,423 Rs. 10,250 Rs. 12,500 Rs. 10,500

Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal? Rs. 890 Rs. 1335 Rs. 1602 Rs. 1780

Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs.. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business? 7 : 6 : 10 12 : 15 : 16 42 : 45 : 56 Cannot be determined

A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1? 4 months 5 months 6 months 8 months

A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital? Rs. 7500 Rs. 8000 Rs. 8500 Rs. 9000

Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments? 5 : 7 : 8 20 : 49 : 64 38 : 28 : 21 None of these

A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives: Rs. 8400 Rs. 11,900 Rs. 13,600 Rs. 14,700