Simplify \[\{0.9-[2.3-3.2-(7.1-5.4-3.5)]\}\] [FCI (Assistant) Grade III 2015] |
Find the square root of \[\frac{(0.064-0.008)(0.16-0.04)}{(0.16+0.08+0.04){{(0.4+0.2)}^{3}}}.\] [SSC (CGL) 2015] |
If the fractions \[\frac{1}{5},\]\[\frac{2}{7},\]\[\frac{3}{5},\]\[\frac{5}{6}\]and \[\frac{11}{13}\] are arranged in descending order of their values, which one will be the fourth? [NICL (AO) 2015] |
Directions: What approximate value should come in place of the question mark (?) in the following questions? (You are not expected to calculate the exact value.) |
\[1212.12+2121.21+1122.22=?\] |
Directions: What approximate value should come in place of the question mark (?) in the following questions? (You are not expected to calculate the exact value.) |
\[919.999\div 25.002\times 13.996=?\] |
Directions: What will come in place of question mark (?) in the following number series? [LIC (ADO) 2015] |
15, 14, 26,75, ?, 1475 |
Directions: What will come in place of question mark (?) in the following number series? [LIC (ADO) 2015] |
16, 23, 33, 46, 62, ? |
If 5 tan A = 4, then the value of \[\frac{5\sin A-3\cos A}{\sin A+2\,\cos A}\] is [SSC (10+2) 2015] |
A businessman allows a discount of 10% on the marked price. How much above the cost price must he mark his goods to make a profit of 17%? [BSSC (CGL) 2015] |
There are 50 students in a class. One of them weighing 50 kg goes away and a new student joins. By this the average weight of the class increases by \[\frac{1}{2}\,kg.\] The weight of the new student is |
If \[\sqrt{3}=1.7321,\] then the value of \[\sqrt{192}-\frac{1}{2}\sqrt{48}-\sqrt{75},\] (correct to 3 places of decimal) is |
The LCM and the HCF of the numbers 28 and 42 are in the ratio |
A student was asked to find the arithmetic mean of the following 12 numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14, and x. He found the mean to be 12. The value of x will be |
A, B and C started a business with their investment in the ratio 1: 3: 5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. The ratio of their profits at the end of the year was |
A student was asked to divide a number by 6 and add 12 to the quotient. He, however, first added 12 to the number and then divided it by 6, getting 112 as the answer. The correct answer should have been |
A committee of 12 persons is to be formed from 9 women and 8 men. In how many ways this can be done if atleast 5 women have to be included in a committee? |
The ratio of the number of boys and girls in a college is 7: 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio? |
The length of a rectangle is 20% more than its breadth. What will be the ratio of the area of this rectangle to the area of a square whose side is equal to the breadth of the rectangle? |
A student goes to school at the rate of \[2\frac{1}{2}\,\,km/h\] and reaches 6 min late. If he travels at the speed of 3 km/h, he is 10 min early. The distance (in km) between the school and his house is |
A container contains 40 L of milk from this container 4 L of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained in the container? |
A 260 m long train crosses a platform thrice its length in 80 s. What is the speed of the train in km/h? |
It is being given that \[({{2}^{32}}+1)\] is completely divisible by a whole number. Which of the following numbers is completely divisible by this number? |
Sum of square of first number and cube of second number is 568 together. Also square of the second number is 15 less than square of 8. What is the value of three-fifth of the first number? (assuming both the numbers are positive) |
A shopkeeper bought 30 kg of wheat at the rate of Rs. 45 per kg. He sold 40% of the total quantity at the rate of Rs. 50 per kg. Approximately, at what price per kg should he sell the remaining quantity to make 25% overall profit? |
P and Q are two points on a circle with centre at O. R is a point on the minor arc of the circle between the points P and Q. The tangents to the circle at the points P and Q meet each other at the point S. If \[\angle PSQ=20{}^\circ ,\] then \[\angle PRQ\] is equal to |
AB is a straight line, C and D are points the same side of AB such that CA perpendicular to AB and DB is perpendicular to AB. Let AD and BC meet at E. What is \[\frac{AE}{AD}+\frac{BE}{BC}\] equal to? |
The volumes of a cylinder and a cone are in the ratio 3: 1. Find their diameters and then compare them when their heights are equal. |
The proportion of expenditure on various items by two families A and B are represented in the following bar charts. | ||||||||||||
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From these charts, we can conclude that |
The area of an isosceles trapezium is 176 and the height is \[\frac{2}{11}\,th\] of the sum of its parallel sides. If the ratio of the length of the parallel sides is 4 : 7, then the length of a diagonal (in cm) is [SSC (CGL) Mains 2015] |
The areas of two circular fields are in the ratio of 25: 64, respectively. If the radius of the latter is 16 m, then what is the radius of the former? [SBI Associate (Clerk) 2014] |
A sum of money was invested for 14 yr in scheme A which offers simple interest at a rate of 8% per annum. The amount received from scheme A after 14 yr was then invested for 2 yr in scheme B which offers compound interest (compounded annually) at a rate of 10% per annum. If the interest received from scheme B was Rs. 6678, what was the sum invested in scheme A? [IBPS RRB (Office Assistant) 2015] |
Directions : In these questions, two equations numbered I and II are given. You have to solve both the equations and mark the appropriate answer. [NICL (AO) 2014] |
I. \[40{{x}^{2}}-47x+12=0\] |
II. \[5{{y}^{2}}-51y+54=0\] |
Directions : In these questions, two equations numbered I and II are given. You have to solve both the equations and mark the appropriate answer. [NICL (AO) 2014] |
I. \[22{{x}^{2}}-x-6=0\] |
II. \[63{{y}^{2}}-11y-40=0\] |
In a trapezium ABCD, if E and F be the mid-points of the diagonals, AC and BD, respectively. Then, EF is equal to |
A boat takes 90 min less to travel 36 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 m/h, the speed of the stream is |
Directions: Study the following information carefully to answer the questions. [SBI Associate (PO) 2015] |
Details of population as recorded in a census were as given below. |
Population of state P is 150% of population of state T and 80% of the population of state U. Population of state Q is 60% of the population of state V. Population of state S is 125% of population of state R. Population of state U is 75 lakh which is 80% of the population of state V and 120% of the population of state S. |
What is the ratio between population of state Q and state S, respectively? |
Directions: Study the following information carefully to answer the questions. [SBI Associate (PO) 2015] |
Details of population as recorded in a census were as given below. |
Population of state P is 150% of population of state T and 80% of the population of state U. Population of state Q is 60% of the population of state V. Population of state S is 125% of population of state R. Population of state U is 75 lakh which is 80% of the population of state V and 120% of the population of state S. |
What is the population of state Q and S together (in lakh)? |
Directions: Study the following information carefully to answer the questions. [SBI Associate (PO) 2015] |
Details of population as recorded in a census were as given below. |
Population of state P is 150% of population of state T and 80% of the population of state U. Population of state Q is 60% of the population of state V. Population of state S is 125% of population of state R. Population of state U is 75 lakh which is 80% of the population of state V and 120% of the population of state S. |
What is the difference between the population of states P and V (in lakh)? |
Directions: Study the following information carefully to answer the questions. [SBI Associate (PO) 2015] |
Details of population as recorded in a census were as given below. |
Population of state P is 150% of population of state T and 80% of the population of state U. Population of state Q is 60% of the population of state V. Population of state S is 125% of population of state R. Population of state U is 75 lakh which is 80% of the population of state V and 120% of the population of state S. |
Population of state R is what per cent of the population of state V? |
Directions: Study the following information carefully to answer the questions. [SBI Associate (PO) 2015] |
Details of population as recorded in a census were as given below. |
Population of state P is 150% of population of state T and 80% of the population of state U. Population of state Q is 60% of the population of state V. Population of state S is 125% of population of state R. Population of state U is 75 lakh which is 80% of the population of state V and 120% of the population of state S. |
Population of state P was found of have been increased by 25% from the previous census record. What was the population of state P as per previous census? |
A basket contains three red and four green balls. If four balls are drawn at random from the basket, what is the probability that two are red and two are green? |
2 men can complete a piece of work in 6 days. 2 women can complete the same piece of work in 9 days, whereas 3 children can complete the same piece of work in 8 days. 3 women and 4 children worked together for 1 day. If only men were to finish the remaining work in 1 day, how many total men would be required? |
If \[\sin \theta +\cos \theta =x,\] then the value of \[{{\cos }^{6}}\theta +{{\sin }^{6}}\theta \]is equal to |
A 222 m long train crosses a pole in 6 s. The same train crosses a man running in the same direction in 10 s. What will be the speed of man? [LIC (AAO) 2013] |
A work can be completed by P and Q in 12 days, Q and R in 15 days, R and P in 20 days. In how many days P alone can finish the work? |
A cistern has three pipes A, B and C. A and B can fill it in 3 and 4 h, respectively and C can empty it in 1 h. If the pipes are opened at 3 pm, 4 pm and 5 pm, respectively on the same day, then cistern will be empty at |
The ratio of the numbers of boys and girls in a school was 5: 3. Some new boys and girls were admitted to the school, in the ratio 5: 7. At this the total number of students in the school became 1200 and the ratio of boys to girls changed to 7: 5. The number of students in the school before new admission was |
If \[x=a\,(1+cos\theta \,cos\phi ),\] \[y=b\,(1+\cos \theta sin\phi )\] and \[z=c\,(1+\sin \theta ),\] then which one of the following is correct? |
A certain number of men can do a work in 60 days. If there were eight more men, it could be completed in 10 days less. How many men were there in the beginning? |
The value of k for which the graphs of \[(k-1)x+y-2=0\] and \[(2-k)\,x-3y+1=0\]are parallel, is |
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