A circle of radius 10 cm has an equilateral triangle inscribed in it. The length of the perpendicular drawn from the centre to any side of the triangle is |
What was the day of the week on 17th July, 1776? |
A toy factory manufactured a batch of electronic toys. If the toys were packed in boxes of 115 each, 13 boxes would not be filled completely. If the toys were packed in boxes of 65 each, 22 such boxes would not be enough to pack all of them. Coincidentally, in the end, the toys were packed in n boxes containing n toys each, without any remainder. The total number of toys was |
The ratio between the rates of travelling of A and B is 2: 3 and therefore A takes 20 min more than time taken by B to reach a destination. If A had walked at double the speed, how long would he have taken to cover the distance? |
A shopkeeper bought a table marked at Rs. 200 at successive discounts of 10% and 15%, respectively. He spent Rs. 7 on transport and sold the table for Rs. 208. Find his profit per cent. |
Water flows at the rate of 10 m/min from a cylindrical pipe 5 mm in diameter. How long will it take to fill up a conical vessel whose diameter at the base is 40 cm and depth is 24 cm? [SSC (CGL) 2014] |
Ramesh bought 10 cycles for Rs. 500 each. He spent Rs. 2000 on the repair of all cycles. He sold five of them for Rs. 750 each and the remaining for Rs. 550 each. Then, the total gain or loss % is [SSC (CGL) 2012] |
A tank can be filled by a tap in 20 min and by another tap in 60 min. Both the taps are kept open for 5 min and then the 1st tap is shut off. After this, how much time the tank will be completely filled? |
A tree is 12 m tall and casts an 8 m long shadow. At the same time, a flag pole casts a 100 m long shadow. How long is the flag pole? |
Two trains start at the same time from points x and y towards each other and after crossing, they take 9 h and 4 h in reaching points y and x, respectively. Find the ratio of speeds of the 1st train to that of the 2nd train. |
A, B and C enter into a partnership. A invests some amount at the beginning, B invests double the amount of A after 6 months and C invests thrice the amount of A after 8 months. If the annual profit be Rs. 54000, find the C's share. |
3 yr before, the average age of a family of 5 members was 17 yr. Due to birth of a now child, the average age is same today. The present age of child is [SSC (FCI) 2012] |
A boat goes 12 km in 1 h in still water. It takes thrice time in covering the same distance against the current. Find the speed of the current. |
What is the value of \[\frac{\sin \theta }{1+\cos \theta }+\frac{1+\cos \theta }{\sin \theta }?\] |
In a\[\Delta ABC,\]\[AB=AC\]and D is a point on AB, such that \[AD=DC=BC.\] Then, \[\angle BAC\] is [SSC (FCI) 2012] |
If \[\sin \theta \cos \theta =\frac{\sqrt{3}}{2},\] then the value of \[{{\sin }^{4}}\theta +{{\cos }^{4}}\theta \] is |
Directions: What will come in place of question marks in the given questions? |
\[{{9}^{2}}\times {{7}^{2}}\div \sqrt{441}-64={{5}^{?}}\] |
Directions: What will come in place of question marks in the given questions? |
\[\left( \frac{4}{5}+1\frac{7}{8}+\frac{5}{8} \right)\]of \[?=759\] |
Directions: What will come in place of question marks in the given questions? |
\[(0.6\times 450)\div 5=2\times {{3}^{?}}\] |
Directions: What will come in place of question marks in the given questions? |
\[\sqrt{2601}+\sqrt{169}={{8}^{12\,\,-\,\,?}}\] |
Directions: What will come in place of question marks in the given questions? |
\[(125.5+242.75+?)\times \frac{6}{7}=480\] |
Directions: What will come in place of question marks in the given number series? |
41, 42, 45, 54, 81,? |
Directions: What will come in place of question marks in the given number series? |
350, 334, 366, 318,?, 302 |
Directions: What will come in place of question marks in the given number series? |
164, 84, 44, 24, 14,? |
In a test, Rajesh got 112 marks which is 32 more than the passing marks. Sonal got 75% marks which is 70 more than the passing marks. What is' the minimum passing percentage of the test? |
Two-fifth of a number is two more than One-third of another number. If the sum of the two numbers is 16, what is their product? |
Ruhi spends 30% of her monthly salary on rent, transportation and bills in the respective ratio of 7: 5: 3. If she spends Rs. 3560 on the transportation, how much is her monthly salary? |
Directions: In the following questions, two equations numbered I and II are given. You have to solve both the equations and give answer [IBPS RRB (Office Assistant) 2012] |
I. \[4x+3y={{(1600)}^{1/2}}\] |
II. \[6x-5y={{(484)}^{1/2}}\] |
Directions: In the following questions, two equations numbered I and II are given. You have to solve both the equations and give answer [IBPS RRB (Office Assistant) 2012] |
I. \[2{{x}^{2}}-(4+\sqrt{13})\,x+2\sqrt{13}=0\] |
II. \[10{{y}^{2}}-(18+5\sqrt{13})y+9\sqrt{13}=0\] |
Directions: Study the following graphs and answer the questions based on them. |
Circulation of magazines |
BI = Business India, DSJ = Dalal Steet |
Journal, BW = Business World, FI = Fortune |
India |
Note Figures are hypothetical and do not reflect actual circulation figure of the magazines |
Advertisement tariff per colour page (in Rs. rupees) |
The total circulation figure for the magazines together in 1988 was approximately |
Directions: Study the following graphs and answer the questions based on them. |
Circulation of magazines |
BI = Business India, DSJ = Dalal Steet |
Journal, BW = Business World, FI = Fortune |
India |
Note Figures are hypothetical and do not reflect actual circulation figure of the magazines |
Advertisement tariff per colour page (in Rs. rupees) |
During the years 1987-89, the magazine that has shown maximum percentage growth in circulation has been |
Directions: Study the following graphs and answer the questions based on them. |
Circulation of magazines |
BI = Business India, DSJ = Dalal Steet |
Journal, BW = Business World, FI = Fortune |
India |
Note Figures are hypothetical and do not reflect actual circulation figure of the magazines |
Advertisement tariff per colour page (in Rs. rupees) |
In 1989, if Fortune India were to charge the same rate to its advertisers as Dalal Street Journal was charging a year ago, their cost of advertisement per thousand copies in Fortune India world |
Directions: Study the following graphs and answer the questions based on them. |
Circulation of magazines |
BI = Business India, DSJ = Dalal Steet |
Journal, BW = Business World, FI = Fortune |
India |
Note Figures are hypothetical and do not reflect actual circulation figure of the magazines |
Advertisement tariff per colour page (in Rs. rupees) |
In 1988, the advertisement cost for page per thousand copies was the lowest for |
Directions: Study the following graphs and answer the questions based on them. |
Circulation of magazines |
BI = Business India, DSJ = Dalal Steet |
Journal, BW = Business World, FI = Fortune |
India |
Note Figures are hypothetical and do not reflect actual circulation figure of the magazines |
Advertisement tariff per colour page (in Rs. rupees) |
The advertisement cost of colour page per thousand copies for Business World has, from 1987 to 1988 |
A committee of five members is to be formed out of 3 trainees, 4 professors and 6 research associates. In how many different ways this can be done, if the committee should have all the 4 professors and 1 research associate or all 3 trainees and 2 professors? |
A 20 L mixture contains milk and water in the respective ratio of 3: 2. If 10 L of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removals and replacement, then what is the ratio of milk and water in the resultant mixture respectively? |
In a \[\Delta ABC,\]\[\angle A=80{}^\circ .\] If BD and CD are internal bisectors of \[\angle B\] and \[\angle C\] respectively, then \[\angle BDC\]is equal to |
A man is twice as fast as a woman and a woman is twice as fast as a boy in doing a work. If all of them, a man, a woman and a boy can finish the work in 7 days, then how many days a boy will do it alone? |
[SSC (CGL) Mains 2014] |
The bisector of \[\angle BAC\]of \[\Delta ABC\]cuts BC at D and the circumcircle of the triangle at E. If DE = 3 cm, AC = 4 cm and AD = 5 cm, then the length of AB is [SSC (CGL) 2014] |
The compound interest on a certain sum of money for 2 yr at 5% is Rs. 328, then the sum is |
[SSC (CGL) Mains 2014] |
Three bells chime at interval of 48, 60 and 90 min, respectively. If all the three bells chime together at 10: 00 am. At what time will all the three chime again that day |
A person invests Rs. 12000 as fixed deposit at a bank at the rate of 10% per annum simple interest. But due to some pressing (needs he has to withdraw the) entire money after 3 yr, for which the bank allowed him a lower rate of interest. If he gets Rs. 3320 less than what he would have got at the end of 5 yr, the rate of interest allowed by the bank is |
The sum of 8 consecutive odd numbers is 656. Also, average of four consecutive even numbers is 87. What is the sum of the smallest odd number and second largest even number? [Bank of Baroda (P0) 2011] |
If \[\frac{x}{y}=\frac{3}{4},\] the ratio of \[(2x+3y)\]and \[(3y-2x)\]is |
A cone is cut at mid-point of its height by frustum parallel to its base. The ratio between the two parts of cone would be |
If \[{{x}^{x\sqrt{x}}}={{(x\sqrt{x})}^{x}},\] then x is equal to [SSC (CGL) 2005] |
If two vertices of a triangle are (5, 4) and \[(-\,\,2,4)\]and centroid is (5, 6), then third vertex is |
\[{{\left[ \sqrt[3]{\sqrt[6]{{{2}^{9}}}} \right]}^{4}}\times {{\left[ \sqrt[6]{\sqrt[3]{{{2}^{9}}}} \right]}^{4}}=?\] |
If two medians BE and CF of a \[\Delta ABC,\] intersect each other at G and if \[BG=CG,\]\[\angle BGC=60{}^\circ ,\]\[BC=8\,\,cm,\]then area of the \[\Delta ABC\]is |
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\[60{}^\circ \]? |
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