There are two clocks on a wall, both set to show the correct time at 6 am one clock loses one minute in an hour while the other gains one minute in an hour. By how many minutes do the two clocks differ at 8 pm? |
Find \[\frac{\tan 18{}^\circ }{\cot 72{}^\circ }-\frac{\cot 72{}^\circ }{\tan 18{}^\circ }\] |
In the given figure, \[AB\bot CD,\]\[AP||CD,\]\[\angle CBP=142{}^\circ .\]Find \[\angle ABP\]and \[\angle APB.\] |
A rectangular field has dimensions of 30 m by 24 m. Two mutually perpendicular passages of 2.5 m width have been left in its central part and grass has been grown in rest of the field. The area under the grass is |
A man borrows Rs. 5000 from a bank at 8% per annum compound interest. At the end of every year he pays Rs. 1000 as a part payment of loan and interest. How much does he still owe to the bank after 3 such instalments? |
The length and breadth of a rectangular field are 6 m and 3 m, respectively. A pit was dug in the corner of the field and the Earth dug out was spread uniformly on the remaining place. Find the rise in level of the field, if the pit is of the length 2 m, breadth 1.5 m and depth 1 m. |
The upper part of a tree is broken by wind into two parts makes an angle of \[30{}^\circ \] with the ground. The top of the tree touches the ground at a distance of 15 m from the foot of the tree. Find the height of the tree before it was broken. (Take\[\sqrt{3}=1.73\]) |
12 men and 16 boys can do a piece of work in 5 days while 13 men and 24 boys finish it in 4 days. 5 men and 10 boys will finish it in |
If two pipes function simultaneously the reservoir will be filled in 8 h one pipe fills the reservoir 12 h faster than the other. How many hours does the faster pipe take to fill the reservoir? |
There were 35 students in a hostel. If the number of students increases by 7, the expenses of the mess increase by Rs. 42 per day while the average expenditure per head diminishes by Rs. 1. Find the original expenditure of the mess. |
Directions: Study the following graph carefully to answer the given questions. [SBI (PO) 2014] |
Strength of seven technology institutes with specializations IT, Electronics and Mechanical in 2012 |
If the number of students with Mechanical specialisation in each institute increased by 20% and the number of students with Electronics specialisation in each institute decreased by 15% from 2013-13, then total number of students with Mechanical from all the institutes in 2013 is approximately what per cent of the total number of students with Electronics specialisation from all the institutes in 2013? |
Directions: Study the following graph carefully to answer the given questions. [SBI (PO) 2014] |
Strength of seven technology institutes with specializations IT, Electronics and Mechanical in 2012 |
What is the ratio between total number of students in institutes R and V, respectively? |
Directions: Study the following graph carefully to answer the given questions. [SBI (PO) 2014] |
Strength of seven technology institutes with specializations IT, Electronics and Mechanical in 2012 |
What is the difference between total number of students with IT specialisation from all the institutes together and total number of students with Mechanical specialisation from all the institutes together? |
Directions: Study the following graph carefully to answer the given questions. [SBI (PO) 2014] |
Strength of seven technology institutes with specializations IT, Electronics and Mechanical in 2012 |
If the number of students in institutes P, Q and R with IT specialisation increased by 15%, 22% and 10% respectively from 2012 to 2013, then what was the total number of students with IT specialisation in the three institutes together in 2013? |
Directions: Study the following graph carefully to answer the given questions. [SBI (PO) 2014] |
Strength of seven technology institutes with specializations IT, Electronics and Mechanical in 2012 |
If out of the total number of students for all three specialisations together in institute Q number of students having liking for music, painting and cricket are in the ratio of 5: 6: 7 respectively, then what is the number of students liking music from this institute? |
Directions: In each of these questions, one question is given followed by data in three statements I, II and III. You have to study the question and the data in statements and decide the question can be answered with data in which of the statements and mark your answer accordingly. [SBI (PO) 2011] |
What is the rate of interest per cent per annum? |
I. The difference between the compound interest and simple interest earned in 2 yr on the amount invested is Rs. 100. |
II. The amount becomes Rs. 19500 in 3 yr oc. simple interest. |
III. The simple interest accrued in. 2 yr on the same amount at the same rate of interest is Rs. 3000. |
Directions: In each of these questions, one question is given followed by data in three statements I, II and III. You have to study the question and the data in statements and decide the question can be answered with data in which of the statements and mark your answer accordingly. [SBI (PO) 2011] |
What is the speed (in km/h) of the train a. km/h? |
I. The train crosses an x m long platform in m s. |
II. The length of the train is y m. |
III. The train crosses a signal pole in m s. |
Directions: In each of these questions, one question is given followed by data in three statements I, II and III. You have to study the question and the data in statements and decide the question can be answered with data in which of the statements and mark your answer accordingly. [SBI (PO) 2011] |
How many students passed in first class? |
I. 85% of the students who appeared in examination have passed either in first class or in second class or in pass class |
II. 750 students have passed in second class. |
III. The number of students who passed in pass class is 28% of those passed in second class. |
Four transport companies A, B, C and 9 rented a parking place. A kept 12 cars for 5 months, B kept 20 cars for 6 months, C kept 15 cars for 5 months and D kept 30 cars for 6 months in the parking place. If A's share of rent is Rs. 2400, then the total rent of the parking place is |
If \[\theta =\frac{1}{2},\]then \[\frac{\text{cose}{{\text{c}}^{2}}\theta -{{\sec }^{2}}\theta }{\text{cose}{{\text{c}}^{2}}\theta +{{\sec }^{2}}\theta }\]is equal to |
In the given figure, \[AB||CD\]and they cut PQ and QR at E, F and G, H, respectively.\[\angle PEB=70{}^\circ \]and \[\angle QHD=140{}^\circ \]and\[\angle PQR=x.\] Find the value of x. |
A can do a job in 20 days, Bin 30 days and C in 60 days. If A is helped by B and C every 3rd day, then how long will it take for them to complete the job? |
Directions: In each of these questions, a number series is given. In each series, only one number is wrong. Find out the wrong number. [SBI (PO) 2011] |
3601, 3602, 1803, 604, 154,36,12 |
Directions: In each of these questions, a number series is given. In each series, only one number is wrong. Find out the wrong number. [SBI (PO) 2011] |
4, 12, 42, 196, 1005, 6066, 42511 |
Directions: In each of these questions, a number series is given. In each series, only one number is wrong. Find out the wrong number. [SBI (PO) 2011] |
2, 8, 12, 20, 30, 42, 56 |
In the given figure, \[CD||AB.\]Find y. |
The ratio of the quantities of an acid and water in a mixture is 1: 3. If 5 L of acid is further added to the mixture, the new ratio becomes 1: 2. The quantity (in litres) of new mixture is [SSC (CGL) 2011] |
In\[\Delta ABC,\]\[\angle A=90{}^\circ ,\]\[\angle C=55{}^\circ ,\]\[AD\bot BC.\] What is the value of\[\angle BAD\]? [SSC (CGL) 2013] |
A box filled with paper bundles weights 36 kg. If the weight of the box and paper bundles, respectively are in the ratio of 3 : 22, then the weight (in grams) of the papers is [SSC (CGL) 2012] |
\[\sqrt[3]{{{(64)}^{-1/6}}\times {{(81)}^{3/4}}\times {{(64)}^{2/3}}}\]is [SSC (CGL) 2014] |
If \[x:y::2:3\]and \[2:x::4:8,\]then the value of y, is [SSC (CPO) 2014] |
The value of \[1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{2}{3}}}}\]is [SCC (CGL) 2011] |
ABCD is a trapezium with AD and BC parallel sides. E is a point on BC. The ratio of the area of ABCD to that of \[\Delta AED\]is [SSC (CGL) Mains 2014] |
The ratio of the ages of two persons is 4: 7 and age of one of them is greater than that of the other by 30 yr. The sum of their ages is [SSC (CGL) 2014] |
The sum of two even numbers is 6 more than twice of the smaller number. If the difference between these two numbers is 6, then which is definitely the smaller number? [IBPS RRB (PO) 2014] |
Find the maximum number of girls, among whom 2923 bags and 3239 eyeliners can be distributed in such a way that each girl gets the same number of bags and eyeliners. [NICL and GIC (AO) 2013] |
If a number of two digits is k times the sum of its digits, then the number formed by interchanging the digits is the sum of the digits multiplied by [GIC (AAO) 2011] |
Find the number of ways of arranging the letters of the word ARRANGE, so that the two R's are never together. |
Arun spends 35% of his salary on food, 15% on house rent, 10% on conveyance and incurs 20% on miscellaneous expenditure. If he still manages to save Rs. 2500, then his annual salary is |
If \[x+\frac{1}{x}=\sqrt{3},\] then the value of \[{{x}^{18}}+{{x}^{12}}+{{x}^{6}}+1\]is [SSC (CPO) 2011] |
If \[x=\sqrt{12+\sqrt{12+\sqrt{12+\sqrt{12+...}}}}\]and \[y=\sqrt{12-\sqrt{12-\sqrt{12-\sqrt{12-...}}}},\]then the value of \[x-y\]will be |
If \[n=7+4\sqrt{3},\]then the value of \[\left( \sqrt{n}+\frac{1}{\sqrt{n}} \right)\] is [SSC (CGL) 2012] |
A number is chosen at random among the first 100 natural numbers. Find the probability of the number chosen to be a multiple of 7. |
Sudhir has to travel from town A to town B which is certain distance apart. 30% of the distance was travelled by car, 40% of the remaining by bus, 50% of the remaining by train and he still has 210 km to reach town B. What is the total distance between town A and town B? |
A cloth merchant professes to sell his material at a loss of 8%. But he measures 84 cm for a metre. Find his actual gain or loss per cent. |
A boat running downstream covers a distance of 12 km in 2 h while for covering the same distance upstream it takes 3 h. What is the speed of the boat in still water? |
Ramesh buys 2 articles for Rs. 600. He sells one of them at a profit of 22% and other at a loss of 8% and makes no profit no loss at the end. What is the cost price of the article he sold at a loss? |
Find the area of \[\Delta ABC,\]whose vertices a-s \[A\,\,(8,-\,\,4),\]\[B\,\,(3,6)\]and \[C\,\,(-\,2,4).\] |
When simplified, \[{{(256)}^{-\,\,({{4}^{-\,3\,\,/\,2}})}}\]is [SSC (FCI) 2012] |
If the simple interest on a sum of money for 2 yr at 8% per annum is Rs. 120, then what will be the compound interest on the same sum at the same rate for the same time? |
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