The value of \[\frac{1}{1+\sqrt{2}}+\frac{1}{\sqrt{2}+\sqrt{3}}\] \[+\frac{1}{\sqrt{3}+\sqrt{4}}+\frac{1}{\sqrt{4}+\sqrt{5}}+\frac{1}{\sqrt{5}+\sqrt{6}}\] \[+\frac{1}{\sqrt{6}+7}+\frac{1}{\sqrt{7}+\sqrt{8}}+\frac{1}{\sqrt{8}+\sqrt{9}}\] is [SSC (CGL) Mains 2014]
The angle of elevation of the top of a tower from the bottom of a building is twice that from its top. What is the height of the building, if the height of the tower is 75 m and the angle of elevation of the top of the tower from the bottom of the building is \[60{}^\circ \]?
A student goes to school at the rate of \[\frac{5}{2}km/h\] and reaches 6 min late. If he travels at the speed of \[3\text{ }km/h,\] he reaches 10 min earlier. The distance of the school is [SSC (CPO) 2014]
The length of a rectangular floor is twice its breadth. If Rs. 256 is required to paint the floor at the rate of \[Rs.\,2\,per\,{{m}^{2}},\] then what would be the length of floor?
Directions: What approximate value will come in place of question mark (?) in the given Questions? (You are not expected to calculate the exact value.)
Directions: What approximate value will come in place of question mark (?) in the given Questions? (You are not expected to calculate the exact value.)
The monthly income of a person was Rs. 13500 and his monthly expenditure was Rs. 9000. Next year his income increased by 14% and his expenditure increased by 7%. The per cent increase in his savings was
The ratio of the number of boys and girls in a government-aided school is 3 : 2. 20% of the boys and 25% of the girls are not scholarship holders. The percentage of students who are scholarship holders, is [NICL (AO) 2015]
A certain amount of money earns Rs. 540 as simple interest in 3 yr. If it earns a compound interest of Rs. 376.20 at the same rate of interest in 2 yr, then find the amount. [SSC (CPO) 2015]
AB is a straight line and O is a point lying on AB. A line OC is drawn from O such that \[\angle COA=36{}^\circ .\] OD is a line within the \[\angle COA\]such that \[\angle DOA=\left( \frac{1}{3} \right)\,\,\angle COA.\] If OE is a line within the \[\angle BOC,\] \[\angle BOE=\left( \frac{1}{4} \right)\,\,\angle BOC,\] then the \[\angle DOE\] must be
A's present age is 4 yr more than B's age after 6 yr. The sum of the present age of A and B together is 70 yr. What is the present age of B? [FCI (Assistant) Grade III 2015]
Two equal glasses of same type are respectively 1/3 and 1/4 full of milk. They are then filled up with water and the contents are mixed in a pot. What is the ratio of milk and water in the pot?
Two pipes A and B can separately fill a cistern in 60 min and 75 min respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 min. In how much time the third pipe alone can empty the cistern? [LIC (ADO) 2015]
A project manager hired 16 men to complete a project in 38 days. However, after 30 days, he realised that only \[\frac{5}{9}th\] of the work is complete. How many more men does he need to hire to complete the project on time? [SBI (PO) 2015]
A boat covers 12 km upstream and 18 km downstream in 3 h, while it covers 36 km upstream and 24 km downstream in \[6\frac{1}{2}\,\,h.\] What is the speed of the current?
A teacher wants to arrange his students in an equal number of rows and columns. If there are 1369 students, the number of students in the last row are [SSC (10+2) 2014]
A dealer marked the price of an item 40% above the cost price. Once he gave successive discounts of 20% and 25% to a particular customer. As a result, he incurred a loss of Rs. 448. At what price did he sell the item to the mentioned customer? [IBPS (SO) IT 2014:
A train 110 m long, is running at a speed of \[60\text{ }km/h.\] How many seconds does it take to cross another train. 170 m long, standing on parallel track?
Diameter of two circular plates are respectively 18 cm and 80 cm. The diameter of the plate which has an area equal to the combined area of two given plates is
A and B entered into a partnership investing Rs. 16000 and Rs. 12000 respectively. After 3 months, A withdrew Rs. 5000 while B invested Rs. 5000 more. After 3 more months, C joins the business with a capital of Rs. 21000. The share of B exceeds that of C, out of a total profit of Rs. 26400 after 1 yr by [SSC (CGL) 2015]
The population of a state in the year was 93771. If the rate of increase was 8% and 15% respectively from the previous 2 yr before 2013, what was the population in the year 2011? [NICL (AO) 2014]
A well 20 m in diameter is dug 14m deep and the earth taken out is spread all around it to a width of 5 m to form an embankment. The height of the embankment is
A can do a piece of work in 12 days and B in 15 days. They work together for 5 days and then B left. The days taken by A to finish the remaining work is [NICL (AO) 2015]
The ratio of number of males and number of females in village X is 11: 7 respectively. If in village Y, the number of males is 20% more than the number of males in village X and the number of females is 12% less than those in village X, then what will be the respective ratio of males to females in village Y [SBI Associate (Clerk) 2014]
Water is flowing at the rate of 5 km/h through a pipe of diameter 14 cm into a rectangular tank which is 50 m long, 44 m wide. The time taken, in hours, for the rise in the level of water in the tank to be 7 cm is
Directions: Study the following graph carefully to answer the questions that follow.
Number of soldiers recruited (in thousands) in three different forces in six different years
What was the respective ratio between the number of soldiers recruited for Air force in the year 2005 and the number soldiers recruited in Army in the year 2009?
The average temperature of Monday, Tuesday and Wednesday was \[30{}^\circ C\]and that of Tuesday, Wednesday and Thursday was \[33{}^\circ C.\]If the temperature on Monday was \[32{}^\circ C,\] then the temperature on Thursday was [BSSC (CGL) Mains 2015]
Coordinates of a point is (0, 1) and ordinate of an another point is \[-3.\] If the distance between the points is 5, then abscissa of second point is [NICL (AAO) 2014]