If \[a={{(\sqrt{2}+1)}^{-1/3}},\] then find out the value of \[\left( {{a}^{3}}-\frac{1}{{{a}^{3}}} \right).\] |
Find out the value of \[\frac{1}{\sqrt{9}-\sqrt{8}}-\frac{1}{\sqrt{8}-\sqrt{7}}+\frac{1}{\sqrt{7}-\sqrt{6}}\] \[-\frac{1}{\sqrt{6}-\sqrt{5}}+\frac{1}{\sqrt{5}-\sqrt{4}}\] |
What is the value of \[[{{1}^{2}}-{{2}^{2}}+{{3}^{3}}-{{4}^{2}}+{{5}^{2}}-{{6}^{2}}+...+{{11}^{2}}-{{12}^{2}}]?\] |
Find the value of \[1\frac{4}{5}+20-280\div 25.\] |
Directions: In, each of the following questions two equations are given. You have to solve both the equations and find out values of x, y and give answer. |
I. \[4{{x}^{2}}-29x+45=0\] |
II. \[3{{y}^{2}}-19y+28=0\] |
Directions: In, each of the following questions two equations are given. You have to solve both the equations and find out values of x, y and give answer. |
I.\[2{{x}^{2}}-13x+21=0\] |
II. \[5{{y}^{2}}-22y+21=0\] |
Neet, out of the total monthly salary, pays 20% towards house and 15% towards his miscellaneous expenditure. From the remaining amount, the respective ratio of the amount he invests in a scheme and the amount left with him is 5: 8. If he invests Rs. 6500 in the scheme, then what is his monthly salary? |
[IBPS RRB (Office Assistant) 2015] |
Pradeep invested 20% more than Mohit. Mohit invested 10% less than Raghu. If the total sum of their investment is Rs. 17880, then how much amount did Raghu invest? [Corporation Bank (PO) 2011] |
A bus moving at 40 km/h covers a distance in 6 h 15 min. If it travels the same distance at 50 km/h, then how long will it take to cover the distance? [SSC (CPO) 2015] |
A cloth merchant has announced 25% rebate on marked price. If one needs to have a rebate of Rs. 40, then how many shirts, each with a marked price of Rs. 32, should he purchase? [SSC (CGL) 2014] |
A man invested Rs. 14400 in the Rs. 100 shares of a company at 20% premium. If the company declares 5% dividend at the end of the year. then how much does he get as dividend? [FCI (Assistant) Grade III 2015] |
The sum of five consecutive even numbers of set A is 220. What is the sum of a different set of five consecutive odd numbers whose second lowest number is 37 less than double of the lowest number of set A? |
If 17 labourers can dig a ditch 26 m long in 18 days, working 8 h a day, then how many more labourers should be engaged to dig a similar ditch 39 m long in 6 days, each labourer working 9 h a day? |
A is 50% as efficient as B. C does half of the work done by A and B together. If C alone does the work in 40 days, then A, B and C together can do the work in |
A is twice as good a workman as B and together they finish a piece of work in 14 days. The number of days taken by A alone to finish the work is |
The difference between compound interest and simple interest on an amount of Rs. 15000 for 2 yr is Rs. 96. What is the rate of interest per annum? |
The ratio of weekly incomes of A and B is 9: 7 and the ratio of their expenditures is 4: 3. If each saves Rs. 200 per week, then the sum of their weekly incomes is |
A shopkeeper sells an article at a loss of \[12\frac{1}{2}%.\]Had he sold the article for Rs. 51.80 more, he would have earned a profit of 6%. The cost price of the article is |
A truck covers a distance of 640 km in 10 h. A car covers the same distance in 8 h. What is the respective ratio between the speed of the truck and the car? |
A, B and C started a business with investment in the ratio 5: 6: 8, respectively. After one year C withdrew 50% of his capital and A increased his capital by 60% of his investment. After two years in what ratio should the earned profit be distributed among A, B and C, respectively? |
What is the least number which when divided by 7, 9 and 12 leaves the same remainder 1 in each case? |
If the annual rate of simple interest increases from 10% to \[12\frac{1}{2}%,\] a man's yearly income increases by Rs. 1250. His principal (in Rs.) is |
A batsman scores 80 runs in his sixth innings and thus increases his average by 5. What is his average after six innings? |
Two trains 140 m and 160 m long are running at the speeds of 60 km/h and 40 km/h, respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is |
A copper wire is bent in the form of square with an area of \[121\text{ }c{{m}^{2}}.\] If the same wire is bent in the form of a circle, then the radius (in cm) of the circle is \[\left( \operatorname{take},\pi =\frac{22}{7} \right)\] |
The value of \[\frac{\sqrt{1+\sin x}+\sqrt{1-\sin x}}{\sqrt{1+\sin x}-\sqrt{1-\sin x}}\] is equal to |
If \[x+y=12\] and \[xy=27,\] then \[{{x}^{3}}+{{y}^{3}}\] equal to |
The value of \[(2{{\cos }^{2}}\theta -1)\left( \frac{1+\tan \theta }{1-\tan \theta }+\frac{1-\tan \theta }{1+\tan \theta } \right)\] |
The average age of 8 men is increased by 2 yr. When two of them whose ages are 21 and 23 yr replaced by two new men. The average age of the two new men is |
If \[A+C=B,\]then \[tan\,A\text{ }tan\,B\text{ }tan\,C\]is equal to |
If the distance of the point \[P(x,y)\]from \[A(a,0)\] is \[a+x,\]then \[{{y}^{2}}\]is equal to |
If the cost price of 16 pens is equal to the selling price of 12 pens, then the gain or loss per cent is |
Directions: What should come in place of question mark (?) in the following number series? [NICL (AO) 2014] |
5, 54, 90, 115, 131, 140, ? |
Directions: What should come in place of question mark (?) in the following number series? [NICL (AO) 2014] |
7, 4, 5, 9, ?, 52.5, 160.5 |
A wholesaler blends two varieties of tea, one costing Rs. 60 per kg and another costing Rs. 105 per kg. The respective ratio of quantities they were mixed in was 7: 2. If he sold the mixed variety at Rs. 100 per kg, then how much was his profit percentage? [SBI (PO) Phase 12015] |
The lengths of two parallel chords of a circle of radius 5 cm, are 6 cm and 8 cm in the same side of the centre. The distance between them is [SSC (10+2) 2014] |
Directions: These questions consist of a question and two statements I and II given below them. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and choose the appropriate option. [LIC (AAO) 2014] |
After how many months (from the start of business) did C join the business? |
I. A and B are started the business together by investing in the respective ratio of 7: 6. After few months, from the start of the business, C joined them. The respective ratio of investment of B and C was 12: 11. |
II. The annual profit earned by A, B and C from the business was Rs. 45000. The sum of A's share of annual profit and B's share of annual profit was Rs. 35100. |
Directions: These questions consist of a question and two statements I and II given below them. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and choose the appropriate option. [LIC (AAO) 2014] |
There are 600 members in a club. Each of them like either one or more of the given cuisines; Chinese, Mexican and Italian. How many members like only Mexican cuisine? |
I. 57% of the members like Italian cuisine. 18% of the members like only Chinese cuisine and 15% of the members like only Chinese and Mexican cuisine. |
II. 58% of the members like either two or more of all of the given cuisines. 43% of the members do not like Mexican cuisine. |
What would be the cost of laying a carpet on a floor which has its length and breadth in the respective ratio of 32: 21 and where its perimeter is 212 ft, if the cost per square feet of laying the carpet is Rs. 2.5? |
From a solid wooden right circular cylinder, a right circular cone whose radius and height are same as the radius and height of the cylinder respectively, is curved out. What is the ratio of the volume of the utilised wood to that of the wasted wood? |
In the given figure, \[AB\parallel CD.\] If \[\angle AOC=30{}^\circ \] and \[\angle OAB=100{}^\circ ,\] then \[\angle OCD\] is equal to |
In a \[\Delta ABC,\]it is given that AD is the internal bisector of \[\angle A.\] If \[AB=10\,cm,\] \[AC=14\text{ }cm\]and \[BC=6\text{ }cm.\] Then, CD is equal to |
In the given figure, O is the centre of a circle and diameter AB bisects the chord CD at a point such that \[CE=ED=8\,cm\] and \[EB=4\text{ }cm.\]The radius of the circle is |
Directions: Study the following graph and answer the given questions. [SBI Associate (PO) 2014 |
Approximately, what is the average profit earned by company B over the given years? |
Directions: Study the following graph and answer the given questions. [SBI Associate (PO) 2014 |
The total profit of all the three companies together was maximum in which of the following years among the given years? |
Directions: Study the following graph and answer the given questions. [SBI Associate (PO) 2014 |
Approximately, what is the percentage increase in profit earned by company C from 2007 to 2011? |
Directions: Study the following graph and answer the given questions. [SBI Associate (PO) 2014 |
The total profit earned by company A in 2011 and company C in 2012 together was approximately what per cent of the profit earned by company A in 2007? |
Directions: Study the following graph and answer the given questions. [SBI Associate (PO) 2014 |
The percentage increase in profit from the preceding year was maximum in case of which of the following companies? |
In how many ways 3 letters can be posted in 4 letters boxes, if all the letters are not posted in the same letter box? |
A bag contains 5 white and 3 black balls and 4 balls are successively drawn out and not replaced. The probability that they are alternately of different colours, is |
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