The difference of the squares of two consecutive odd integers is divisible by which of the following integers? |
The simplified value of \[\sqrt{11+\sqrt{19+\sqrt{29+\sqrt{49}}}}\]is |
The sum of digits of the smallest number, which when multiplied by 800, gives a perfect cube is |
If \[9\sqrt{x}=\sqrt{12}+\sqrt{147},\] then x is equal to |
Two numbers are in the ratio 3: 4. The product of their HCF and LCM is 2028. The sum of the numbers is |
Which of the following fractions is less than \[\frac{7}{8}\] and greater than\[\frac{1}{3}\]? |
If \[\frac{2x}{2+\frac{1}{1+\frac{x}{1-x}}}=1,\] then value of x is |
In what time Rs. 8000 will amount to Rs. 9261 at 10% per annum compound interest, when the interest is compounded half-yearly? |
The average age of a class of 15 students is 10 yr. If the age of teacher is also included, then the average increases by 1 yr. Find the age of teacher. |
An epidemic broke out in a village in which 5% of the population died. Of the remaining. 20% fled out of panic. If the present population is 4655, then the population of the village originally was |
Present ages of X and Y are in the ratio 3: 5 respectively. Eight years hence this ratio will be 5: 7. What is the Ys present age? |
Simplify for the value of x. \[{{[{{[\sqrt[7]{({{x}^{-4/7}})}]}^{7/3}}]}^{21}}=\frac{1}{16}\] |
If \[\sqrt{21316}=146,\] then the value of \[\sqrt{213.16}+\sqrt{2.1316}+\sqrt{0.021316}\] is |
A's income is 10% more than B's income. How much per cent is B's income less than A's income? |
If \[x+y=9\] and \[\frac{1}{x}+\frac{1}{y}=3,\] then the value of \[{{x}^{3}}+{{y}^{3}}\] is |
The area of the triangle formed by the graphs of \[3x+4y=12,\] X and Y-axes is |
If \[{{(r\cos \theta -\sqrt{3})}^{2}}+r\,{{(\sin \theta -1)}^{2}}=0,\]then the value of \[\frac{r\tan \theta +\sec \theta }{r\sec \theta +\tan \theta }\]is equal to |
The simple interest accured on a sum of certain principal is Rs. 7200 in 6 yr at the rate of 12% per annum. What would be the compound interest accured on that principal at the rate of 5% per annum in 2 yr? [BOB (PO) 2011] |
A 320 m long train moving with an average speed of 120 km/h crosses a platforms 24 s. A man crosses the same platform in 4 min. What is the speed (in m/s) of man? [BOB (PO) 2011] |
A man can row 9 km/h in still water. It takes him twice as long to row up as to row down the river. Find the speed of stream. |
The circumference of two circles is 88 m and 220 m, respectively. What is the difference between the area of the larger circle and smaller circle? [Andhra Bank (PO) 2011] |
A bag contain 13 white and 7 black balls. Two balls are drawn at randomly. What is the probability that they are of the same colour? [SBI (PO) 2012] |
The respective ratio between the present ages of son, mother, father and grandfather is 2: 7: 8: 12. The average age of son and mother is 27 yr. What will be mother's age after 7 yr? |
Directions: Read the table, graph carefully and answer these questions given below, [SSC (CGL) 2015] |
The number of years during which the company has its production less than the average production during 1920-1927 is approximately |
Directions: Read the table, graph carefully and answer these questions given below, [SSC (CGL) 2015] |
The average production of steel is |
Directions: Read the table, graph carefully and answer these questions given below, [SSC (CGL) 2015] |
The difference of the production of steel in the year 1923 and 1924 is x% of 1927. Then, the value of x is approximately |
Directions: Read the table, graph carefully and answer these questions given below, [SSC (CGL) 2015] |
The ratio of production of steel in the year 1924 and 1925 to that of 1923 and 1927 is |
The cost of 9 kg of apples is Rs. 360. What is the cost of 13 kg of apples at the same rate per kg? |
[Allahabad Bank (PO) 2010] |
If \[3x=5y=4z,\] then \[x:y:z\] equal to [SSC (GGL) 2011] |
Two equal vessels are filled with the mixtures of water and milk in the ratio of 3: 4 and 5: 3, respectively. If the mixture are poured into a third vessel, the ratio of water and milk in the third vessel will be [SSC (CGL) 2011] |
A pipe can fill a tank in 24 h. Due to a leakage in the bottom. It is filled in 36 h. If the tank is half full, how much time will the leak take to empty the tank? [SSC (CGL) 2015] |
If A, B and C are the angles of a \[\Delta ABC,\] then following is equal to \[\left( \frac{B+C}{2} \right)\] [SSC (CGL) 2015] |
A can do \[\frac{5}{8}th\] part of a work in. 15 days. Remaining work is done by B in 12 days. Then in how many days will A and B do same work by working together? |
The average speed of a car is \[1\frac{4}{5}\] times the average speed of a bus. A tractor covers 575 km in 23 h. How much distance will the car cover in 4 h, if the speed of bus is twice the speed of the tractor? [SBI (PO) 2012] |
A train, 240 m long crosses a man walking along the line in opposite direction at the rate of 3 km/h in 10 s. The speed of the train is [SSC (CGL) 2010] |
A tap can fill an empty tank in 12 h and another tap can empty half the tank in 10 h. If both the taps are opened simultaneously, how long would it take to fill the empty tank to half of its capacity? |
If radius of base of right circular cylinder is doubled and height becomes halted, then the ratio of new volume of cylinder to the volume of original cylinder is [SSC (CGL) 2012] |
What is the greatest length of the rod which can be kept in a room of dimensions |
\[12\,m\times 9\,m\times 8\,m?\] |
In how many different ways can the letters of the word 'VENTURE' be arranged? [IBPS (Clerk) 2011] |
Directions: What value will come in the place of question mark (?) in the following number series? [BOI (Clerk) 2011] |
7, 11, 19, 35, 67? |
Directions: What value will come in the place of question mark (?) in the following number series? [BOI (Clerk) 2011] |
5, 6, 10, 19, 35, ? |
Directions: What value will come in the place of question mark (?) in the following number series? [BOI (Clerk) 2011] |
1, 3, 8, 18, 35, ? |
In the given figure, AOB is a straight line. If \[\angle AOC=40{}^\circ ,\]\[\angle COD=4x{}^\circ \]and \[\angle BOD=3x{}^\circ ,\] then \[\angle COD\] is equal to |
ABCD is a rhombus in which\[\angle C=60{}^\circ ,\] Then,\[AC:BD\] is equal to |
A and B entered into a partnership with capitals in the ratio 5: 6. At the end of 8 months, A withdraws his capital. They received profits in the ratio of 5: 9. B invested capital for [SSC (CGL) 2011] |
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 and give answer. [PNB (SO) 2010] |
What is the circumference of the circle? |
I. The diameter of the circle is 21 cm. |
II. The area of the circle is 346. \[5\,c{{m}^{2}}.\] |
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 and give answer. [PNB (SO) 2010] |
What is the average age of the boys in the class? |
I. The average age of the girls in the class is 14 |
II. The number of boys in the class is twice the number of the girls in the class |
Directions: In each of the following questions there are two equations I and II. You have to solve both equations and give answer. [SBI (PO) 2015] |
I. \[14{{x}^{2}}-13x+3=0\] |
II. \[99{{y}^{2}}-62y+8=0\] |
Directions: In each of the following questions there are two equations I and II. You have to solve both equations and give answer. [SBI (PO) 2015] |
I. \[2{{x}^{2}}-15x+28=0\] |
II. \[2{{y}^{2}}-21y+54=0\] |
In figure, ABC is a right triangle, right angled at B. AD and CE are the two medians drawn from A and C, respectively. If AC = 5 cm and \[AD=\frac{3\sqrt{5}}{2}cm.\] Find the length of CE. |
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