In \[\Delta ABC,\]\[\angle A:\angle B:\angle C=2:3:4,\] a line CD drawn perpendicular to AB, then \[\angle ACD\] is [SSC (CGL) 2013] |
Value of \[{{\sec }^{2}}\theta +\frac{{{\sin }^{2}}\theta -2{{\sin }^{4}}\theta }{2{{\cos }^{4}}\theta -{{\cos }^{2}}\theta }\]is [SSC (CGL) Mains 2014] |
Prakash lends a part of Rs. 20000 at 8% simple interest and remaining at \[\frac{4}{3}%\]simple interest. His total income after a year was Rs. 800. Find the sum lent at 8%. [SSC (CGL) Mains 2014] |
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] |
In an examination, 75% candidates passed in English and 60% passed in Mathematics. 25% failed in both and 240 passed the examination. Find the total number of candidates. [SSC (CPO) 2014] |
On increasing the diameter of a circle by 75%, the percentage increase in the perimeter is [SSC (CGL) 2014] |
Directions: Study the information carefully to answer the questions that follow. |
[IBPS RRB (Office Assistant) 2012] |
A company produced five different products, viz mobile phone, pen drive, calculator, television and washing machine. The total number of all the five products is 1650. Now, 24% of the total number of products is mobile phones. One-sixth of the total number of products is pen drives. 14% of the total number of products is calculators. Remaining products are either television or washing machine. The number of washing machines is 50 more than the number of televisions produced. |
What is the ratio of the number of washing machines to the number of calculators produced by the company? |
Directions: Study the information carefully to answer the questions that follow. |
[IBPS RRB (Office Assistant) 2012] |
A company produced five different products, viz mobile phone, pen drive, calculator, television and washing machine. The total number of all the five products is 1650. Now, 24% of the total number of products is mobile phones. One-sixth of the total number of products is pen drives. 14% of the total number of products is calculators. Remaining products are either television or washing machine. The number of washing machines is 50 more than the number of televisions produced. |
If 24% of the pen drives are defective, what is the number of pen drives which are not defective? |
Directions: Study the information carefully to answer the questions that follow. |
[IBPS RRB (Office Assistant) 2012] |
A company produced five different products, viz mobile phone, pen drive, calculator, television and washing machine. The total number of all the five products is 1650. Now, 24% of the total number of products is mobile phones. One-sixth of the total number of products is pen drives. 14% of the total number of products is calculators. Remaining products are either television or washing machine. The number of washing machines is 50 more than the number of televisions produced. |
The number of televisions produced is approximately what per cent of the total number of calculators and washing machines produced together? |
Directions: Study the information carefully to answer the questions that follow. |
[IBPS RRB (Office Assistant) 2012] |
A company produced five different products, viz mobile phone, pen drive, calculator, television and washing machine. The total number of all the five products is 1650. Now, 24% of the total number of products is mobile phones. One-sixth of the total number of products is pen drives. 14% of the total number of products is calculators. Remaining products are either television or washing machine. The number of washing machines is 50 more than the number of televisions produced. |
What is the difference between the total number of televisions and mobile phones together and the number of calculators produced? |
Directions: Study the information carefully to answer the questions that follow. |
[IBPS RRB (Office Assistant) 2012] |
A company produced five different products, viz mobile phone, pen drive, calculator, television and washing machine. The total number of all the five products is 1650. Now, 24% of the total number of products is mobile phones. One-sixth of the total number of products is pen drives. 14% of the total number of products is calculators. Remaining products are either television or washing machine. The number of washing machines is 50 more than the number of televisions produced. |
What is the total number of pen drives, calculators and washing machines produced by the company? |
If\[{{\cos }^{4}}x+{{\cos }^{2}}x=1,\] then the value of \[{{\tan }^{4}}x+{{\tan }^{2}}x\]is [SSC (CPO) 2013] |
Two numbers are such that the square of one is 224 less than 8 times the square of the other. If the numbers are in the ratio of 3 : 4, then their values are [SSC (CGL) 2012] |
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 in [SSC (CGL) 2011] |
In \[\Delta ABC,\] D and E are points on sides AB and AC, such that \[DE||BC.\]If \[AD=x,\]\[DB=x-2,\] \[AE=x+2,\]\[EC=x-1,\]then the value of x is [SSC (CPO) 2013] |
If \[\sin 17{}^\circ =\frac{x}{y},\]then the value of \[\sec 17{}^\circ -\sin 73{}^\circ \]is [SSC (CPO) 2013] |
Directions: In the following number series, only one number is wrong. Find out the wrong number. [IBPS (PO/MT) CWE 2014] |
41, 45, 61,97, 181, 261, 405 |
Directions: In the following number series, only one number is wrong. Find out the wrong number. [IBPS (PO/MT) CWE 2014] |
16, 30, 58, 114, 226, 496, 898 |
Directions: In the following number series, only one number is wrong. Find out the wrong number. [IBPS (PO/MT) CWE 2014] |
15, 21.5, 46.5, 145, 585.5, 2933, 17603.5 |
Directions: In these questions two equations numbered I and II are given. You have to solve both the equations and find the correct option. |
I. \[4{{x}^{2}}-29x+45=0\] |
II. \[3{{y}^{2}}-19y+28=0\] |
Directions: In these questions two equations numbered I and II are given. You have to solve both the equations and find the correct option. |
I. \[2{{x}^{2}}-13x+21=0\] |
II. \[5{{y}^{2}}-22y+21=0\] |
From the top of a light house at a height 20 m above sea-level, the angle of depression of a ship is \[30{}^\circ .\]The distance of the ship from the foot of the light house is [SSC (CPO) 2014] |
An alloy contains copper, zinc and nickel in the ratio of 5: 3: 2. The quantity of nickel in kilogram that must be added to 100 kg of this alloy to have the new ratio 5 : 3 : 3 is [SSC (CGL) 2011] |
\[x=3+2\sqrt{2},\]then the values of \[{{x}^{3}}+\frac{1}{{{x}^{3}}}\] and \[{{x}^{3}}-\frac{1}{{{x}^{3}}}\]are respectively [SSC (CGL) 2014] |
A group consisting of 25 teachers 20 engineers, 18 doctors and 12 salesmen visited a fair and spent Rs. 1330 altogether. It was found that 5 teachers spent as much as 4 engineers, 12 engineers spent as much as 9 doctors and 6 doctors spent as much as 8 salesmen. If every person in a professional group spent the same amount, the amount spent by each engineer is |
A tank can be filled by pipe A in 2 h and pipe B in 6 h. At 10 am pipe A was opened. At what time will tank be filled if pipe B is opened at 11 am? [SSC (CGL) 2013] |
The sum \[{{11}^{2}}+{{12}^{2}}+...+{{21}^{2}}=?\] |
Find \[x,\]if\[\frac{17}{2}-\left\{ \frac{11}{2}-\left( \frac{15}{2}-\frac{14}{5}\div x \right) \right\}\] \[\times \frac{17}{4}\div {{\left( \frac{1}{5} \right)}^{2}}=306\] |
If \[\sqrt{18496}=136,\]then the value of \[\sqrt{18496}+\sqrt{184.96}+\sqrt{1.8496}\] is |
Simplify, \[5+[(7-6)+\{(5-3)\div (1-\overline{4-2})\}]\] |
In the figure, \[\angle CAB=72{}^\circ ,\]\[\angle CBA=74{}^\circ \]and \[\angle CED=112{}^\circ \]Find \[\angle CDE.\] |
Find \[\frac{{{(288+155)}^{2}}-{{(288-155)}^{2}}}{288\times 155}\] |
If \[x+y+z=12,\]\[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}=44,\]then find \[xy+yz+zx.\] |
Find the value of \[m-n,\]if \[\frac{{{9}^{n}}\times {{3}^{2}}\times {{\left( {{3}^{-\frac{n}{2}}} \right)}^{-2}}-{{(27)}^{n}}}{{{3}^{3m}}\times {{2}^{3}}}=\frac{1}{27}\] |
The approximate value of\[25.06\times 2.86+10.12%\]of \[240-15.69%\] of is equal to |
The age of the father is 30 yr more, than the son's age 10 yr. Hence, the father's age will become three times the son's age that time. What is the son's present age in years? [SBI (PO) 2011] |
Mr. X invested a certain amount in debt and equity funds in the ratio of4:5. At the end of one year, he earned a total dividend of 30% on his investment. After one year, he reinvested the amount including the dividend in the ratio of 6: 7 in debt and equity funds. If the amount reinvested in equity funds, was Rs. 94500, what was the original amount invested in equity funds? [SBI (PO) 2011] |
A shopkeeper labelled the price of his articles, so as to earn a profit of 30% on the cost price. Then, he sold the articles by offering a discount of 10% on the labelled price. What is the actual per cent profit earned in the deal? [SBI (PO) 2011] |
If a train runs at 30 km/h it reaches its destination late by 9 min. If it runs at 36 km/h it is late by only 3 min. The correct time for the train to complete its journey is |
In a stream running at 2 km/h, a motorboat goes 5 km upstream and back again to the starting point in 1 h 20 min. Find the speed of the motorboat in still water. |
An aeroplane first flew with a speed of 440 km/h and covered a certain distance. It still had to cover 770 km less than what it had already covered, but it flew with a speed of 660 km/h. The average speed for the entire flight was 500 km/h. Find the total distance covered. |
If \[1\,\,c{{m}^{3}}\] of a metal weight 28 g, then the weight of a pipe of length 2 m with a bore 5 cm and in which the thickness of the metal is 1 cm, is |
By mistake instead of dividing Rs. 1692 between A, B and C in the proportion 1/3: 1/4: 1/5, it was divided in the proportion of 3: 4: 5. Who gains most and by what amount? |
The value of \[\sqrt{2\sqrt[3]{4\sqrt{2\sqrt[3]{4}}}}...\] |
When in each box 5 or 6 dozens of apples were packed, three dozens were left. Therefore, bigger boxes were taken to pack 8 or 9 dozens of apples. However still three dozens of apples remained. What was the least number of dozens of apples to be packed? |
If \[P\,\,(a,0),\]\[Q\,\,(0,b)\] and \[R\,\,(1,1)\] are collinear, then find the value of \[\frac{1}{a}+\frac{1}{b}\] |
Even after reducing the marked price of a pen By Rs. 32, a shopkeeper makes a profit of 15%. If the cost price be Rs. 320, what percentage of profit does he make if he sells the pen at the marked price? |
Alok, Armaan and Arun can do a job in 24, 30 and 60 days, respectively. In how many days can Alok do the Work, if he is assisted by Armaan on one day and Arun on the next day alternately. How long the work would take to finish? |
The value of \[{{(64)}^{\frac{1}{6}}}\times {{\left( \frac{3}{2} \right)}^{4}}\div {{(121)}^{0}}+{{\left( \frac{1}{3} \right)}^{4}},\]is equal to |
Value of the expression \[{{\left[ \frac{{{(\sqrt{4})}^{5}}\times {{(\sqrt{4})}^{-\,\,3}}}{{{(\sqrt{4})}^{-\,\,2}}} \right]}^{\frac{3}{2}}}\]is |
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