Six bells commence tolling together at intervals of 2, 4, 6, 8, 10 and 12 s, respectively. In 30 min how many times do they toll together? [BSSC (CGL) 2015]
Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2, If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be
Seats for Mathematics, Physics and Biology in a school are in the ratio 5: 7: 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
A person lent out a certain sum on simple interest and the same sum on compound interest at a certain rate of interest per annum. He noticed that the ratio between the difference of compound interest and simple interest of 3 yr and that of 2 yr is 25: 8. The rate of interest per annum is
15 men can finish a work in 20 days, however it takes 24 women to finish it is 20 days. If 10 men and 8 women undertake to complete the work, then they will take [SSC (10+2) 2015]
A man rows to a place 48 km distance and back in 14 h. He finds that he can run 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is
M and N can do a work in 10 days and 15days respectively. If M starts on the work and bot work alternately day after day, in how many days will the work be completed?
The ratio of the present ages of Sushma and Karishma is 6: 7 respectively. The ratio of their ages 8 yr hence would be 8: 9 respectively. What would be the respective ratio of their ages after 12 yr? [NICL (AO) 2015]
A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, the probability that it bears a perfect square number is [FCI (Assistant) Grade III 2015]
A horse is tethered to a peg with a 14 m long rope at the corner of a 40 m long and 24 m wide rectangular grass field. What area of the field will the horse graze?
The compound interest accrued on an amount of Rs. 25500 at the end of three years is Rs. 8440.5. What would be the simple interest accrued on the same amount at the same rate in the same period?
The profit earned after selling an article for Rs. 1516 is the same as loss incurred after selling the article for Rs. 1112. What is the cost price of the article?
In a History examination, the average for the entire class was 80 marks. If 10% of the students scored 95 marks and 20% scored 90 marks. What was the average marks of the remaining students of the class? [FCI (Assistant) Grade III 2015]
Two pipes A and B can independently fill a tank completely in 20 and 30 min respectively. If both the pipes are opened simultaneously, how much time will they take to nil the tank completely?
A 320 m long train moving with an average speed of 120 km/h crosses a platform in 24 s. A man crosses the same platform in 4 min. What is the speed of man in m/s?
The price of commodity X increase by 40 paise every year, while the price of commodity Y increases by 15 paise every year. If in 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs. 6.30, in which year commodity X will cost 40 paise more than the commodity Y?
Two workers A and B working together completed a job in 5 days. If A worked twice as efficiently as he actually did and B worked \[\frac{1}{3}\] as efficiently as he actually did, the work would have been completed in 3 days. A alone could complete the work in
The diagonal of a quadrilateral shaped field is 24 m and the perpendicular dropped on it from the remaining opposite vertices are 8 m and 13 m. The area of the field is [SSC (CPO) 2015]
A motorcycle covers 40 km with a speed of 20 km/h. Find the speed of the motorcycle for the next 40 km journey, so that the average speed of the whole journey will be 30 km/h.
A swimming pool 70 m long, 44 m wide and 3 m deep is filled by water flowing from a pipe at the rate of \[30800\text{ }c{{m}^{3}}/s.\] The time taken to fill the swimming pool is
A well with 14 m inside diameter is dug 10 m deep. Earth taken out of it, has been evenly spread all around it to a width of 21 m to form an embankment. The height (in m) of the embankment is
The average score of 29 students of a class in a History test is 68 (out of 120). After removing the top 3 scores, the average score drops by 2.5. If the second highest score is less than 85 and the second highest and the third highest score are not the same, the highest score should be at least what value? (Consider all scores are integers) [NICL (AO) 2014]
Smallest angle of a triangle is equal to two-third the smallest angle of a quadrilateral. The ratio between the angles of the quadrilateral is 3: 4: 5: 6. Largest angle of the triangle is twice its smallest angle. What is the sum of second largest angle of the triangle and largest angle of the quadrilateral?
The height of a tower is h and the angle of elevation of the top of the tower is \[\alpha .\] On moving a distance h/2 towards the tower, the angle of elevation becomes \[\beta .\] What is the value of \[(\cot \alpha -\cot \beta )\]?
If O be the circumcentre of a \[\Delta PQR\] and\[\angle QOR=110{}^\circ ,\]\[\angle OPR=25{}^\circ ,\] then the measure of \[\angle PRQ\] is [SSC (CGL) 2013]
In \[\Delta ABC,\] \[\angle A=90{}^\circ ,\] BP and CQ are two medians. Then, the value of \[\frac{B{{P}^{2}}+C{{Q}^{2}}}{B{{C}^{2}}}\]is [SSC (10+2) 2014]
Directions: In the following questions, two equations numbered I and II have been given. You have to solve both the equations and mark the correct answer. [SBI (PO) 2015]
I. \[2{{x}^{2}}+23x+63=0\] II. \[4{{y}^{2}}+19y+21=0\]
A)
lf \[x<y\]
doneclear
B)
If \[x>y\]
doneclear
C)
If\[x\ge y\]
doneclear
D)
If \[x\le y\]
doneclear
E)
If relationship between x and y cannot be established
Directions: In the following questions, two equations numbered I and II have been given. You have to solve both the equations and mark the correct answer. [SBI (PO) 2015]
I. \[3{{x}^{2}}+29x+56=0\] II. \[2{{y}^{2}}+15y+25=0\]
A)
lf \[x<y\]
doneclear
B)
If \[x>y\]
doneclear
C)
If\[x\ge y\]
doneclear
D)
If \[x\le y\]
doneclear
E)
If relationship between x and y cannot be established
Directions: In the following questions, two equations numbered I and II have been given. You have to solve both the equations and mark the correct answer. [SBI (PO) 2015]
I. \[3{{x}^{2}}+23x+44=0\] II. \[3{{y}^{2}}+20y+33=0\]
A)
lf \[x<y\]
doneclear
B)
If \[x>y\]
doneclear
C)
If\[x\ge y\]
doneclear
D)
If \[x\le y\]
doneclear
E)
If relationship between x and y cannot be established
A, B and C started a business by investing Rs. 20000, Rs. 28000 and Rs. 36000 respectively. After 6 months, A and B withdrew an amount of Rs. 8000 each and C invested an additional amount of Rs. 8000. All of them invested for equal period of time. If at the end of the year, C got Rs. 12550 as his share of profit, what was the total profit earned? [IBPS RRB (Officer) 2015]
Vikram invested Rs. 2 lakh at a simple interest rate of 12% per annum for one year. He then added Rs. 500 to total amount accumulated at the end of one year and earned simple interest at the rate of 13% per annum. How much amount he would have earned as a simple interest at the end of the second year? [LIC (ADO) 2015]
Directions: Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.
What is the circumference of the circle?
I. The diameter of the circle is 28 cm.
II. The area of the circle is \[2464\text{ }c{{m}^{2}}.\]
A)
If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
doneclear
B)
If the data in statement II alone are sufficient to answer the questions, while the data in statement I alone are not sufficient to answer the questions
doneclear
C)
If the data either in statement I alone or in statement II alone are sufficient to answer the questions
doneclear
D)
If the data given in both the statements I and II together are not sufficient to answer the questions
doneclear
E)
If the data in both the statements I and II together are necessary to answer the questions
Directions: Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.
What is the average age of the boys in the class?
I. The average age of girls in the class is 16.
II. The number of boys in the class is twice the number of the girls in the class.
A)
If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
doneclear
B)
If the data in statement II alone are sufficient to answer the questions, while the data in statement I alone are not sufficient to answer the questions
doneclear
C)
If the data either in statement I alone or in statement II alone are sufficient to answer the questions
doneclear
D)
If the data given in both the statements I and II together are not sufficient to answer the questions
doneclear
E)
If the data in both the statements I and II together are necessary to answer the questions