This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 1301. |
For what value of ‘K’ will the following pair of linear equations have infinitely many solutions Kx+3y=k-3; 12x+ky=k [or kx+3y-k+3=0 ; 12x+ky-k=0] |
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Answer» For what value of ‘K’ will the following pair of linear equations have infinitely many solutions Kx+3y=k-3; 12x+ky=k [or kx+3y-k+3=0 ; 12x+ky-k=0] |
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| 1302. |
Find the area of the shaded region in figure, where a circular arc of radius 7 cm has been drawn with vertex O of an equilateral ΔOAB of side 12 cm, as centre. |
Answer» Find the area of the shaded region in figure, where a circular arc of radius 7 cm has been drawn with vertex O of an equilateral ΔOAB of side 12 cm, as centre.
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| 1303. |
In a market, the price of medium quality mangoes is half that of good mangoes. A shopkeeper buys 80 kg good mangoes and 40 kg medium quality mangoes from the market and then sells all these at a common price which is 10% less than the price at which he bought the good ones His overall profit is |
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Answer» In a market, the price of medium quality mangoes is half that of good mangoes. A shopkeeper buys 80 kg good mangoes and 40 kg medium quality mangoes from the market and then sells all these at a common price which is 10% less than the price at which he bought the good ones His overall profit is |
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| 1304. |
The following frequency distribution gives the masses of 48 objects measured to the nearest gram. Draw a histogram to illustrate the data. Mass (g)10−1920−2425−3435−5051−55Frequency6412188 |
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Answer» The following frequency distribution gives the masses of 48 objects measured to the nearest gram. Draw a histogram to illustrate the data. Mass (g)10−1920−2425−3435−5051−55Frequency6412188 |
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| 1305. |
The length of a rectangle is increased by a=30% and breadth is decreased by b=25% . The percentage change in the area of the rectangle is___ |
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Answer» The length of a rectangle is increased by a=30% and breadth is decreased by b=25% . The percentage change in the area of the rectangle is |
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| 1306. |
Remplissez les blancs avec les noms des pays et des nationalités. |
| Answer» Remplissez les blancs avec les noms des pays et des nationalités. | |
| 1307. |
Evaluate: limx→1[1x2+x−2−xx2−1] |
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Answer» Evaluate: limx→1[1x2+x−2−xx2−1] |
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| 1308. |
Q63. In a city, 35% of the population is composed of migrants, 20% of whom are from rural areas. Of the local population, 48% is female, while this figure for rural and urban migrants is 30% and 40%, respectively. If the total population f the city is 728400, what is its total female population? |
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Answer» Q63. In a city, 35% of the population is composed of migrants, 20% of whom are from rural areas. Of the local population, 48% is female, while this figure for rural and urban migrants is 30% and 40%, respectively. If the total population f the city is 728400, what is its total female population? |
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| 1309. |
The wheel of an engine of 300 cm in circumference makes 10 revolutions in 6 seconds. What is the speed of the wheel (in km/h)? |
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Answer» The wheel of an engine of 300 cm in circumference makes 10 revolutions in 6 seconds. What is the speed of the wheel (in km/h)? |
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| 1310. |
Compare the following pairs of ratios.(i) 53, 37 (ii) 3557, 63125 (iii) 518 , 17121 (iv) 8048 , 4527 (v) 9.25.1 , 3.47.1 |
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Answer» Compare the following pairs of ratios. (i) (ii) (iii) (iv) (v) |
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| 1311. |
If expense on rent as a percentage of income of F is 12.5%, then the other expenses as a percentage of his savings is___ |
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Answer» If expense on rent as a percentage of income of F is 12.5%, then the other expenses as a percentage of his savings is |
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| 1312. |
If R=(3065−2965)(3064+2964), then: (CAT 2005) |
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Answer» If R=(3065−2965)(3064+2964), then: (CAT 2005) |
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| 1313. |
if triangle abc is right angled atB,s-a=3,s-c=2.then find the values of a and b |
| Answer» if triangle abc is right angled atB,s-a=3,s-c=2.then find the values of a and b | |
| 1314. |
27.A train is moving on a track at 30 m/s. A ball is thrown from it perpendicular to the direction of motion with 30 m/s at 45^° from horizontal. Find the distance of ball from the point of projection on train to the point where it strikes the ground. |
| Answer» 27.A train is moving on a track at 30 m/s. A ball is thrown from it perpendicular to the direction of motion with 30 m/s at 45^° from horizontal. Find the distance of ball from the point of projection on train to the point where it strikes the ground. | |
| 1315. |
Who operates under the name 'T'? |
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Answer» Who operates under the name 'T'? |
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| 1316. |
Study the following information carefully and answer the following questions: An organisation decided to distribute seven types of laptops on week days starting from Monday to Sunday. The seven laptops to be distributed are of Sony, Acer, Asus, Lenovo, Dell, HP and HCL, but not necessarily in the same order. Dell laptops are to be given on Saturday. Lenovo laptops are given just after Asus Laptops and Asus laptops are not given on Wednesday. HP laptops are given two days after the distribution of Asus laptops. Acer laptops are distributed just after Sony laptops. HCL laptops are distributed before Acer laptops. HP laptops are distributed after Dell laptops. On which day of the week Asus are distributed? |
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Answer» Study the following information carefully and answer the following questions: An organisation decided to distribute seven types of laptops on week days starting from Monday to Sunday. The seven laptops to be distributed are of Sony, Acer, Asus, Lenovo, Dell, HP and HCL, but not necessarily in the same order. Dell laptops are to be given on Saturday. Lenovo laptops are given just after Asus Laptops and Asus laptops are not given on Wednesday. HP laptops are given two days after the distribution of Asus laptops. Acer laptops are distributed just after Sony laptops. HCL laptops are distributed before Acer laptops. HP laptops are distributed after Dell laptops. On which day of the week Asus are distributed? |
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| 1317. |
Find the least number of square tiles of equal dimensions required to pave the floor of a room 4.03 m long and 2.17 m broad. |
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Answer» Find the least number of square tiles of equal dimensions required to pave the floor of a room 4.03 m long and 2.17 m broad. |
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| 1318. |
Find the sum of n terms of the series 11 + 103 + 1005 + .... |
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Answer» Find the sum of n terms of the series 11 + 103 + 1005 + .... |
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| 1319. |
How to find foot of perpendicular from any point P to a given plane ? |
| Answer» How to find foot of perpendicular from any point P to a given plane ? | |
| 1320. |
{ If }C_1:x^2+y^2=(3+2\sqrt2)^2 be a circle. }PA and }PB}{ are pair of tangents on }C_1 where }P is any point on the }}{ director circle of }C_1, then the radius of the smallest }}{ circle which touches }C_1 externally and also the two }}{ tangents }PA and }PB is |
| Answer» { If }C_1:x^2+y^2=(3+2\sqrt2)^2 be a circle. }PA and }PB}{ are pair of tangents on }C_1 where }P is any point on the }}{ director circle of }C_1, then the radius of the smallest }}{ circle which touches }C_1 externally and also the two }}{ tangents }PA and }PB is | |
| 1321. |
The sum of the digits of a two-digit number is 9. Also, twice this number is nine times the number obtained by reversing the order of the digits. Find the number |
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Answer» The sum of the digits of a two-digit number is 9. Also, twice this number is nine times the number obtained by reversing the order of the digits. Find the number |
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| 1322. |
Select the odd number of socks. |
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Answer» Select the odd number of socks. |
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| 1323. |
5 Find the cube root of 185193 number by finding there ones and tens digit . |
| Answer» 5 Find the cube root of 185193 number by finding there ones and tens digit . | |
| 1324. |
काबुलीवाले ने कहा – अगर ये लाल चीज़ खाने की है, तो मुझे भी दे दो।सब्ज़ी बेचने वाली ने कहा – हाँ ये तो सब खाते हैं। ले लो।इस तरह बेचारा काबुलीवाला मिर्च खा बैठा। तुम्हारे हिसाब से काबुलीवाले को मिर्च देखने के बाद क्या पूछना चाहिए था? |
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Answer» काबुलीवाले ने कहा – अगर ये लाल चीज़ खाने की है, तो मुझे भी दे दो। सब्ज़ी बेचने वाली ने कहा – हाँ ये तो सब खाते हैं। ले लो। इस तरह बेचारा काबुलीवाला मिर्च खा बैठा। तुम्हारे हिसाब से काबुलीवाले को मिर्च देखने के बाद क्या पूछना चाहिए था? |
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| 1325. |
23. If x,y,z are in AP , ax ,by,cz are in GP and 1/a, 1/b , 1/c are in AP then x/z+z/x is equal to |
| Answer» 23. If x,y,z are in AP , ax ,by,cz are in GP and 1/a, 1/b , 1/c are in AP then x/z+z/x is equal to | |
| 1326. |
The number of children, both males and females, is approximately what percent of the people who manage their business? |
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Answer» The number of children, both males and females, is approximately what percent of the people who manage their business? |
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| 1327. |
A circle is inscribed in a square, while a hexagon is inscribed in the circle and an equilateral triangle inscribed inside the hexagon. All are regular polygons. If a, b, c and d are lengths of the square, circular, hexagonal and triangular tracks respectively, then which of the following is true? |
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Answer» A circle is inscribed in a square, while a hexagon is inscribed in the circle and an equilateral triangle inscribed inside the hexagon. All are regular polygons. If a, b, c and d are lengths of the square, circular, hexagonal and triangular tracks respectively, then which of the following is true? |
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| 1328. |
Surveys reveal that the vast majority of hotel guests in the United States resent the high prices of the items in the mini-bars in their hotel rooms. These guests would prefer to have an empty refrigerator in their rooms in order to have space to put their own food and beverages, although a large percentage of these guests would still make at least one purchase from their in-room mini-bar. After analyzing the results of the study, the management of Hotel T decided that it would be more profitable to eliminate the mini-bar and install empty refrigerators in each room. Which of the following, if true, would support Hotel T's plan to increase profitability by eliminating in room mini-bars in favor of empty refrigerators? |
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Answer» Surveys reveal that the vast majority of hotel guests in the United States resent the high prices of the items in the mini-bars in their hotel rooms. These guests would prefer to have an empty refrigerator in their rooms in order to have space to put their own food and beverages, although a large percentage of these guests would still make at least one purchase from their in-room mini-bar. After analyzing the results of the study, the management of Hotel T decided that it would be more profitable to eliminate the mini-bar and install empty refrigerators in each room. Which of the following, if true, would support Hotel T's plan to increase profitability by eliminating in room mini-bars in favor of empty refrigerators? |
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| 1329. |
How to read an |
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Answer» How to read an |
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| 1330. |
In an isosceles triangle, a base angle is four times its vertical angle. Find all the angles of the triangle. |
Answer» In an isosceles triangle, a base angle is four times its vertical angle. Find all the angles of the triangle.
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| 1331. |
The slant height of a conical mountain is 2.5 km and the area of its base is 1.54km2. The height of the mountain is: |
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Answer» The slant height of a conical mountain is 2.5 km and the area of its base is 1.54km2. The height of the mountain is: |
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| 1332. |
A,B,C,D and E play a game of cards. A says to B, " If you give me three cards, you will have as many as E has and if I give you three cards, you will have as many as D has." A and B together have 10 cards more than what D and E together have. If B has two cards more than what C has and the total number of cards be 133, the number of cards that B has is25 |
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Answer» A,B,C,D and E play a game of cards. A says to B, " If you give me three cards, you will have as many as E has and if I give you three cards, you will have as many as D has." A and B together have 10 cards more than what D and E together have. If B has two cards more than what C has and the total number of cards be 133, the number of cards that B has is
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| 1333. |
50. If sum of m terms of an AP is same as sum of n terms .Show that sum of its m+n terms is 0 |
| Answer» 50. If sum of m terms of an AP is same as sum of n terms .Show that sum of its m+n terms is 0 | |
| 1334. |
On a two lane road 260 vehicles are observed in 1 km stretch.If both lanes share equal vehicles then average space headway between vehicles is m.7.69 |
Answer» On a two lane road 260 vehicles are observed in 1 km stretch.If both lanes share equal vehicles then average space headway between vehicles is m.
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| 1335. |
A juggler maintains 10 balls in motion ,making each of them to rise at a height of 80m from his hands. To keep proper distance between them,what would be the time interval maintained by the juggler? |
| Answer» A juggler maintains 10 balls in motion ,making each of them to rise at a height of 80m from his hands. To keep proper distance between them,what would be the time interval maintained by the juggler? | |
| 1336. |
Let f(x) be a function with the two properties: a) for any two real numbers x and y, f (x + y) = x + f (y) and b) f (0) = 2 What is the value of f(98)? |
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Answer» Let f(x) be a function with the two properties: a) for any two real numbers x and y, f (x + y) = x + f (y) and b) f (0) = 2 What is the value of f(98)? |
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| 1337. |
PQ is chord of a circle .the lenght of PQ is 24 .R is the midpoint of PQ perpendicular from R and either sides of the chord PQ meet the circle at M and N respectively.if RN›RM and RM =6cm then the lenght of RN is |
| Answer» PQ is chord of a circle .the lenght of PQ is 24 .R is the midpoint of PQ perpendicular from R and either sides of the chord PQ meet the circle at M and N respectively.if RN›RM and RM =6cm then the lenght of RN is | |
| 1338. |
7. If the cost price of 18 mangoes is the same as the selling price of 16 mangoes then the gain percent is:- a.12% b.12.5% c.15.5% d.15% |
| Answer» 7. If the cost price of 18 mangoes is the same as the selling price of 16 mangoes then the gain percent is:- a.12% b.12.5% c.15.5% d.15% | |
| 1339. |
In the figure, AB = OA(radius of the circle). If Y = kX. The value of k is ___. |
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Answer» In the figure, AB = OA(radius of the circle). If Y = kX. The value of k is |
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| 1340. |
If a quadrilateral ABCD circumscribes the circle. Prove that AB+CD=12 (Perimeter of ABCD) |
| Answer» If a quadrilateral ABCD circumscribes the circle. Prove that AB+CD=12 (Perimeter of ABCD) | |
| 1341. |
In a △ABC, ∠ABC = 30∘ and ∠ACB = 45∘. Which is the longest side in this triangle? |
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Answer» In a △ABC, ∠ABC = 30∘ and ∠ACB = 45∘. Which is the longest side in this triangle? |
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| 1342. |
How many female employees left the company from 2000 to 2006?___ |
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Answer» How many female employees left the company from 2000 to 2006? |
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| 1343. |
10. If a b c are ap and b c a are in gp then show that c a b are in hp what is a:b:c |
| Answer» 10. If a b c are ap and b c a are in gp then show that c a b are in hp what is a:b:c | |
| 1344. |
Find the probability of finding Ace. [2 MARKS] |
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Answer» Find the probability of finding Ace. [2 MARKS]
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| 1345. |
In ∆ABC, B – D – C and BD = 7, BC = 20 then Find following ratios.(1) A∆ABDA∆ADC(2) A∆ABDA∆ABC(3) A∆ADCA∆ABC |
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Answer» In ∆ABC, B – D – C and BD = 7, BC = 20 then Find following ratios.
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| 1346. |
show that n^3-n is divisible by 8,if n is an odd positive integer |
| Answer» show that n^3-n is divisible by 8,if n is an odd positive integer | |
| 1347. |
.The area of the triangle formed by three points sqrt(3)+i,-1+sqrt(3)i and (sqrt(3)-1)+(sqrt(3)+1) is |
| Answer» .The area of the triangle formed by three points sqrt(3)+i,-1+sqrt(3)i and (sqrt(3)-1)+(sqrt(3)+1) is | |
| 1348. |
Find the direction of the force on Q due to q3. |
| Answer» Find the direction of the force on Q due to q3. | |
| 1349. |
The area of rectangle gets reduced by 80 sq.units and length reduced by 5 units breadth increased by 2 units if we increase length by 10 units and decrease breadth by 5 units then area will be increase by 50 units.Find length and breadth of rectangle. |
| Answer» The area of rectangle gets reduced by 80 sq.units and length reduced by 5 units breadth increased by 2 units if we increase length by 10 units and decrease breadth by 5 units then area will be increase by 50 units.Find length and breadth of rectangle. | |
| 1350. |
How to find out the number of factors ? |
| Answer» How to find out the number of factors ? | |