At what point of time after 3 0' clock, hour hand and the minute hand are at right angles for the first time? |
If \[\tan \alpha =n\tan \beta \]and \[\sin \alpha =m\sin \beta ,\]then \[{{\cos }^{2}}\alpha \]is [SSC (CGL) 2013] |
Aarti, Vinita and Kamla became partners in a business by investing money in the ratio of 5: 7: 6. Next year, they increased their investments by 26%, 20% and 15%, respectively. In what ratio should profit earned during 2nd year be distributed? |
Directions: In each of the following questions two equations are given, solve these equations and give answer. [IBPS (PO) 2013] |
I. \[{{x}^{2}}+5x+6=0\] |
II. \[{{y}^{2}}+7y+12=0\] |
Directions: In each of the following questions two equations are given, solve these equations and give answer. [IBPS (PO) 2013] |
I. \[{{x}^{2}}+20=9x\] |
II. \[{{y}^{2}}+42=13y\] |
Directions: In each of the following questions two equations are given, solve these equations and give answer. [IBPS (PO) 2013] |
I. \[2x+3y=14\] |
II. \[4x+2y=16\] |
Directions: In each of these questions, a number series is given. In each series, only one number is wrong. Find out the wrong number. [IBPS (PO/MT) CWE 2012] |
5531, 5506, 5425, 5304, 5135, 4910, 4621 |
Directions: In each of these questions, a number series is given. In each series, only one number is wrong. Find out the wrong number. [IBPS (PO/MT) CWE 2012] |
6, 7, 9, 13, 26, 37, 69 |
Directions: In each of these questions, a number series is given. In each series, only one number is wrong. Find out the wrong number. [IBPS (PO/MT) CWE 2012] |
1, 3, 10, 36, 152, 760, 4632 |
Directions: Study the two figures given below and answer the five questions that follow. |
How many Physics professors belong to the age group 35-44? |
Directions: Study the two figures given below and answer the five questions that follow. |
Which one of the following disciplines has the highest ratio of males to females? |
Directions: Study the two figures given below and answer the five questions that follow. |
What percentage of all Psychology professors are females? |
Directions: Study the two figures given below and answer the five questions that follow. |
If the number of female Physics professors in the age group 25-34 equals 25% of all the Physics professors in that age group, then what is the number of male Physics professors in the age group 25-34? |
Directions: Study the two figures given below and answer the five questions that follow. |
If the Psychology professors in the university constitute 2% of all the professors in the university, then what is the number of professors in the university? |
Consider the following. |
I. \[{{\sin }^{2}}1{}^\circ +{{\cos }^{2}}1{}^\circ =1\] |
II. \[{{\sec }^{2}}33{}^\circ -{{\cot }^{2}}57{}^\circ =\text{cose}{{\text{c}}^{2}}37{}^\circ -{{\tan }^{2}}53{}^\circ \] |
Which of the above statement is/are correct? |
If 64 identical small spheres are made out of a big sphere of diameter 8 cm, what is surface area of each small sphere? |
There are two vertical posts, one on each side of a road, just opposite to each other. One post is 108 m high. From the top of this post, the angles of depression of the top and foot of the other post are \[30{}^\circ \]and \[60{}^\circ ,\]respectively. The height of the other post, (in metre) is [SSC (10+2) 2012] |
There are 7 pipes attached with a tank out of which some are inlets and some are outlets. Every inlet can fill the tank in 10 h and every outlet can empty the tank in 15 h. When all the pipes are opened simultaneously, the tank is filled up in \[2\frac{8}{11}h.\]Find the numbers of inlets and outlets. |
In a trapezium, the two non-parallel sides are equal in length, each being of 5 units. The parallel sides are at a distance of 3 units apart. If the smaller side of the parallel sides is of length 2 units, then the sum of the diagonals of the trapezium is |
25 men can reap a field in 20 days. When should 15 men leave the work, if the whole field is to be reaped in \[37\frac{1}{2}\]days after they leave the work? |
A train overtakes two persons walking along a railway track. The first one walks at 4.5 km/h and the other one walks at 5.4 km/h. The train needs 8.4 s and 8.5 s, respectively to overtake them. What is the speed of the train, if both the persons are walking in the same direction as the train? |
Four year ago, Shyam's age was 3/4 times of that of Ram. Four year hence, Shyam's age will be 5/6 times that of Ram. What is the present age of Shyam? |
Walking with 3/4 of his usual speed, Sachin covers a certain distance in 2 h more than the time he takes, to cover the distance at his usual speed. Find the time taken by him to cover this distance with usual speed. |
In a river, the ratio of the speed of stream and speed of a boat in still water is 2 : 5, Again, ratio of the speed of stream and speed of an another boat in still water is 3 : 4. What is the ratio of the speeds of the first boat to the second boat in still water? |
A regular hexagon is inscribed in a circle of radius 5 cm. If x is the area inside the circle but outside the regular hexagon, then which one of the following is correct? |
A man sold an article for Rs. 6800 and incurred a loss. Had he sold the article for Rs. 7850, his gain would have been equal to half of the amount of loss that he incurred. At what price should he sell the article to have 20% profit? |
[IBPS (PO/MT) Pre 2015] |
A certain sum is divided among P, Q and R in such a way that P gets Rs. 40 more than the\[\frac{1}{2}\]of the sum. Q gets Rs. 120 less than \[\frac{3}{8}\text{th}\] of the sum and R get Rs. 200. What is the total sum? [IBPS (PO/MT) Pre 2015] |
If the present population of a state is 27500 and after 2 yr it increases to 40931, then what is the rate of increase per year? [IBPS (PO/MT) Pre 2015] |
In a class of 80 students and 5 teachers, each student got sweets that are 15% of the total number of students and each teacher got sweets that are 25% of the total number of students. How many sweets were there? |
[IBPS (PO/MT) Pre 2015] |
The simple interest (per annum) accrued on an amount of Rs. 17000 at the end of four years is Rs. 6800. What would be the compound interest (compounded annually) accrued on the same amount at the same rate after two years? [IBPS (PO/MT) Pre 2015] |
Solve \[\frac{{{(999+588)}^{2}}-{{(999-588)}^{2}}}{999\times 588}.\] |
The approximate value of \[29.89\times 24.994+30.234\times 11.04\]is |
Two transversals S and T cut a set of distinct parallel lines. S cuts the parallel lines in points A, B, C, D and T cuts the parallel lines in points E, F, G and H, respectively. If AB = 4, CD = 3 and EF = 12, then what is the length of GH? |
2 men and 3 women can do a piece of work in 10 days, while 3 men and 2 women can do the same work in 8 days. Then, 2 men and 1 woman can do the same work in |
In a \[\Delta ABC,\]\[\angle A+\frac{1}{2}\angle B+\angle C=140{}^\circ ,\] then \[\angle B\] is [SSC (CGL) Mains 2014] |
Out of four numbers, the average of the first three is 16 and that of the last three is 15. If the last number is 20, then the first number is |
N is the foot of the perpendicular from a point P of a circle with radius 7 cm, on a diameter AB of the circle. If the length of the chord PB is 12 cm, then the distance of the point N from the point B is [SSC (CGL) 2013] |
If \[\frac{\frac{1}{\sqrt{9}}-\frac{1}{\sqrt{11}}}{\frac{1}{\sqrt{9}}+\frac{1}{\sqrt{11}}}\times \frac{10+\sqrt{99}}{x}=\frac{1}{2},\] then the value of \[x\]is |
The number of digits are required to number a book containing 200 pages? |
An electronic device makes a beep after every 60 s. Another device makes a beep after every 62 s. They beeped together at 10 am. The time when they will next make a beep together at the earliest, is |
Which of the following equations are equivalent? |
I. \[{{\left( \frac{1}{2}M+\frac{2}{3}N \right)}^{2}}\] |
II. \[\frac{4}{9}{{N}^{2}}+\frac{1}{4}{{M}^{2}}+\frac{2}{3}MN\] |
III. \[\left( \frac{M}{2}+\frac{2}{3}N \right)\left( \frac{1}{2}M-\frac{2}{3}N \right)\] |
IV. \[\frac{1}{4}{{\left( M+\frac{4}{3}N \right)}^{2}}\] |
By mixing two quantities of sugar in the ratio 2: 3 and selling the mixture at the rate of Rs. 22 per kg, a shopkeeper make a profit of 10%. If the cost of the smaller quantity be Rs. 14 per kg, then the cost of the larger quantity is |
A man adds water to 25 L of pure milk and sells the mixture at Rs. 3 per L. If pure milk cost Rs. 3.60 per L. How many litres of water does he add? |
A can solve 40% of the problem given in a book and B can solve 70%. What is the probability that atleast one of them will solve the problem selected at random from the book? |
If \[x=p+\frac{1}{p}\]and \[y=p-\frac{1}{p},\]then value of \[{{x}^{4}}-2{{x}^{2}}{{y}^{2}}+{{y}^{4}}\] is |
Coordinates of a point is (0, 1) and ordinate of' an another point is \[-\,\,3.\] If distance between both the points is 5, then abscissa of second point is |
For any real number x, the maximum value of \[4-6x-{{x}^{2}}\]is [SSC (CGL) 2014] |
A, B and C invested capitals in the ratio of 4: 6: 9. At the end of the business term, they received the profit in the ratio of 2: 3: 5. Find the ratio of their time for which they contributed their capitals. |
The area of a rectangle is 4 times the area of a square. The length of the rectangle is 90 cm and the breadth of the rectangle is 2/3rd of the side of the square. What is the side of the square? [SBI (PO) 2012] |
A machine is marked at Rs. 7500 for sale. The shopkeeper allows successive discounts of 8%, 5% and 2% on it. The net selling price (in Rs.) is [SSC (CGL) 2014] |
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