Instructions: Each question consists of a problem followed by two statements. Decide whether the data in the statements are sufficient to answer the question. Eshan and Arnob have the same birthday. Arnob's age now is the same as Ehsan's age was when Arnob was half as old as Ehsan is now. What is Ehsan's age now? (1) Ehsan is currently four times as old as he was when Arnob was born. (2) Ehsan was six years old when Arnob was born.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statement TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
Explanation: Statement 2 দিয়ে possible। Ehsan = \(x\), Arnob = \(y\). \(x = y + 6\) (from Statement 2). Arnob is now same age as Ehsan was when Arnob was half as old as Ehsan. Arnob = \(x/2\). Ehsan = \(x/2 + 6\). Arnob's age now \(y = x/2 + 6\). \(x = y + 6\) এবং \(y = x/2 + 6\) solve করে পাই \(y = 18\), \(x = 24\)। Statement 1 দিয়ে ওদের age বের করা সম্ভব না।
Related Questions (Any University/Year)
- It takes 24 hours for 10 men to make 15 Christmas Cakes. How many cakes can be made if 8 men work for 36 hours?
- যদি x : y=২ : ৩ এবং y : z=৪ : ৫ হয়, তাহলে x : y : z = ?
- There are 12 men on basketball team, and in a game 5 of them play at any one time, If the game is 1 hour long and if each man plays exactly the same amount of time, how many minutes each man play?
- The front wheels of a wagon are 7 feet in circumference and the rear wheels are 9 feet in circumference. When the front wheels have made 10 more revolutions than the rear wheels, what distance has the wagon gone?
- Rahat can complete a task in 30 minutes, working together with his brother Mominul, he can complete the same task in 20 minutes. How long would it take for Muminul working along to complete the task?
- There are 30 socks in a drawer. 60% of the socks are red and the rest are blue. What is the minimum number of socks that must be taken from the drawer without looking in order to be certain that at least two red socks have been chosen?
- Six years ago Anita was P times as old as Ben. Anita is now 17. How old is Ben now in terms of p?
- In a store, the ratio of red socks to green socks is 3:2. The socks are made of either cotton or wool. If 60% of the red socks are made of cotton and 80% of the green aocks are made of wool, what percentages of socks are made of cotton?
- What is the smallest positive integer K such that the product 1575 x K is a perfect square?
- If 1/x+5/y4/3 and x = 3y, then y = ?
- Three friends - Anwar, Bobby and Dipu divided Tk. 1105 amongst them in such a way that if Tk. 10, Tk. 20 and Tk. 15 were removed from the amount that Anwar, Bobby and Dipu received respectively, then the share of the amount they got would be in the ratio of 11: 18: 24. How much did Dipu receive?
- Three workers can do a job in 12 days. One of the workers works twice as fast as each of the other two. How long would it take the faster worker to do the job alone?
- A car completes a journey in 11 hours, the first half at 30 km/hr and the second half at 25 km/hr. Find the distance travelled?
- In a certain shipment 2% of the boxes shipped were damaged. If the loss per, damaged box was Tk. 35 and the total loss due to damage was Tk. 700, how many boxes were shipped?
- The difference between the sum of two Numbers and difference of the two numbers is 6. Find the larger of the two numbers if their product is 15.
- A train 100 meters long takes 6 seconds to cross a man walking at 5 km/h in a direction ' opposite to that of the train. Find the speed of the train.
- The electric company charge: Tk. 0.30 per kilowatt hour (KWH). Rahim used 2800 KWH in April, 3200 KWH in May, and 3600 KWH in June. What was his average costs of electricity for the 3 months?
- The average of a set of 12 numbers which includes 34 is N. If 34 is removed from the set and 38 is added to the set, what is the average of the new set of numbers in terms of N?
- একটি আয়াতাকার ঘরের দৈর্ঘ্য বিস্তারের দ্বিগুণ। এর ক্ষেত্রফল ৫১২ বর্গমিটার হলে পরিসীমা কত মিটার?
- Successive discount of 25% and 20% are equal to a single discount of -
- A hospital needs 150 pills to treat 6 patients for a week. How many pills does it need to treat 10 patients for a week?
- Which of the following fractions is the smallest ?
- During a particular day, x number of applicants came to IBA to submit their applications before lunch. Of them 70% were male applicants. On the same day, y number of applicants came to submit their application after lunch and all of them were male applicants. On that particular day , the ratio of male applicants to female applicants was 4:1. Calculate y in terms of x.
- If y% of x is 29 what is the value of x?
- 9 numbers are written in ascending order, middle number is average of that nine numbers. Average of five larger numbers is 68 and also average of five smaller numbers is 44. What is the sum of all nine numbers?
- ২২, ২১, ২৩, ২২, ২৪, ২৩, ... পরবর্তী সংখ্যা কোনটি?
- Instructions: DO NOT USE CALCULATOR. Figures are not drawn to scale. If # is an operator such that \((4 \# 2 = 14)\) and \((2 \# 3 = 6)\), what will be the value of \((5 \# 2)\)?
- In a model high school, Physics course is divided into two sections. In section A, average score in the final exam was 92, while in section B, the average score was 84. If the average score of all 40 students in the course was 89, how many students are in Section A?
- The foot of a ladder is 2m away from a vertical wall. The height of the top of the ladder is 2.m less than the length of the ladder. What is the length of the ladder?
- Raisa took one cup of half olive-oil and half vinegar and poured it in a jar that had equal parts of olive-oil, vinegar, and water. If the result is a three-cup mixture of salad dressing, what portion of the dressing is olive-oil?
- A sum of BDT 200 will be divided among 5 swimmers, named Emran, Durjoy, Chopol, Billal and Anabi, who have just finished a swimming competition. Everyone will receive at least BDT 5 and no two swimmers will receive the same amount of money. Emran has come \(1^{st}\) and will get BDT 80; Durjoy has come \(2^{nd}\), Chopol is \(3^{rd}\), Billal is \(4^{th}\) and Anabi is last. Moreover, the distribution of money is subject to the following conditions: • No one will get any fractional amount of money. • The swimmer who finishes earlier must receive more money than the swimmer(s) he defeats. What are the greatest and least amount of money, consecutively, that Durjoy can receive?
- If a, b and c are 3 consecutive integers in that order, which of the following has the lowest value?
- ২-এর কত শতাংশ ৮ হবে?
- Last year 7000 students took the admission test were the ratio of girls to boys was 6:4. Only 2% of the boys met the cut-off marks. The number of such boys was:
- Alam starts working on a job and works on it for 12 days and completes 40% of the work. Then Babu joins Alam and together they complete the rest of the work in 12 days. How long will it take Babu to complete the job if he works alone?
- Y is four times as old as X. After 6 years, the sum of half of X's age and a fourth of Y's age will be the same as three times the present age of X. How old will X be after 6 years?
- সম্পূর্ণ খালি একটি চৌবাচ্চা একটি পাইপ দিয়ে ৫ ঘণ্টায় সম্পূর্ণ ভর্তি করা হয়। দ্বিতীয় একটি পাইপ দিয়ে চৌবাচ্চাটি পূর্ণ করতে ৩ ঘণ্টা সময় লাগে। দুটি পাইপ একসাথে ব্যবহার করে চৌবাচ্চাটি ২৩ অংশ পূর্ণ করতে কত সময় লাগবে?
- A sport goods store ordered an equal number of white and yellow tennis balls. The tennis ball company delivered 30 extra tennis ball, making the ratio of white balls to yellow balls 6:5, How many tennis ball did the sport goods store originally order?
- একটি পরিবারের মোট আয় ৮০,০০০/- টাকা। পরিবারটি প্রতিমাসে খাদ্য কেনায় ৩০,০০০/-, বাসা ভাড়ায় ২০,০০০/-, যাতায়াতে ১০,০০০/-, ও বই কেনায় ৫,০০০/- খরচ করে। যাতায়াত খাতে পরিবারটি প্রতিমাসে আয়ের কত শতাংশ খরচ করে?
- Two cars start towards the same destination at the same time. One car is 5 km behind the other. If the speed of the car at the front is 750 m/min and that of the other car is 1000 m/min, after how many minutes will the two cars meet?
