Mathmetics
ISBT Mathmetics for all banking PO,Clerk,IBPS PO,Railway,SSC,IAS,OAS Exams
Q171. |
|
| 1) | 1000 | 2) | 1200 |
| 3) | 1400 | 4) | 2000 |
| 5) | None of these | ||
Answer : 1000
Explanation : Let, total numbers of students are x.
Explanation : Let, total numbers of students are x.
Girls = 3x/7. and boys = 1 - 3x/7 = 4x/7.
Below 10 years boys = (4x/7) 1/4 = 4x/28 = x/7
The girls are also below ten years of age = (3x/7) 5/6 = 5x/14
So, above ten years = x - (x/7 + 5x/14) = x- x/2 = x/2
Given, x/2= 500
or x = 1000.
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Q172. |
|
| 1) | 20 % | 2) | 24 % |
| 3) | 25 % | 4) | 33.33 % |
| 5) | None of these | ||
Answer : 20 %
Explanation : Let, C.P of each article is Rs.1/.
Explanation : Let, C.P of each article is Rs.1/.
So, C.P of 20's articles = Rs.20/ and C.P of 4's articles = Rs.4/ i.e. profit
We know that, S.P = C.P + Profit = 20 + 4 = Rs. 24/
Therefore, % of profit = (4/20) x 100 = 20%
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Q173. | A vendor sells 20 articles and gets a profit which is equal to selling price of 4 articles. What is the percentage of profit in this transaction ? |
| 1) | 20 % | 2) | 24 % |
| 3) | 25 % | 4) | 33.33 % |
| 5) | None of these | ||
Answer : 25 %
Explanation : Let, S.P of each article is Rs.1/.
Explanation : Let, S.P of each article is Rs.1/.
So, S.P of 20's articles = Rs.20/ and S.P of 4's articles = Rs.4/ i.e. profit
We, know that C.P = S.P -Profit = 20 - 4 = Rs. 16/
Therefore, % of profit = (4/16) x 100 = 25%
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Q174. |
|
| 1) | 24 | 2) | 36 |
| 3) | 48 | 4) | 72 |
| 5) | None of these | ||
Answer : 48
Explanation : Let, the number be x.
Explanation : Let, the number be x.
So,x-48 = x/3
or x-x/3= 48
or x = 72
Therefore, two-thirds of 72 is 48.
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Q175. |
|
| 1) | 30 | 2) | 40 |
| 3) | 50 | 4) | 60 |
| 5) | None of these | ||
Answer : 60
Explanation : Given, A’s marks in Arithmetic is x and A’s marks in English y and x +y=150 ----- (I)
Explanation : Given, A’s marks in Arithmetic is x and A’s marks in English y and x +y=150 ----- (I)
so, x/3 = y/2
or 2x =3y
or 2x - 3y = 0 ------- (II)
Putting the value in both equation, we get y = 60.
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Q176. |
|
| 1) | 2525 | 2) | 2925 |
| 3) | 3025 | 4) | 3225 |
| 5) | None of these | ||
Answer : 3025
Explanation : We know that , the sum of the cube all natural number i.e. 1- n = [(n. n+1)/2]2
Explanation : We know that , the sum of the cube all natural number i.e. 1- n = [(n. n+1)/2]2
The sequence is (13 + 23+ 33 + 43+ …….. + 103)
So, [(10 x 11)/2]2 = 3025
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Q177. |
|
| 1) | 2295 | 2) | 2425 |
| 3) | 2595 | 4) | 2925 |
| 5) | None of these | ||
Answer : 2925
Explanation : We know that , the sum of the cube all natural number i.e. 1- n = [(n. n+1)/2]2
Explanation : We know that , the sum of the cube all natural number i.e. 1- n = [(n. n+1)/2]2
The sequence is (13 + 23+ 33 + 43+ …….. + 103) - (13 + 23+ 33 + 43)
So, [(10 x 11)/2]2 - [(4x5)/2]2 = 3025 -100 = 2925
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Q178. |
|
| 1) | 16 | 2) | 52 |
| 3) | 58 | 4) | 104 |
| 5) | None of these | ||
Answer : 52
Explanation : Let, two numbers are x and y respectively.
Explanation : Let, two numbers are x and y respectively.
So, x2 + y2 = 68 and ( x - y )2 = 36.
We know that, ( x - y )2 = x2 + y2 - 2xy
or 68 - 2xy = 36
or 2xy = 68+36 = 104
or xy = 104/2=52
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Q179. |
|
| 1) | 2 | 2) | 3 |
| 3) | 4 | 4) | 5 |
| 5) | None of these | ||
Answer : 3
Explanation : Let, the number be x.
Explanation : Let, the number be x.
2x + 20 = 8x - 4
or 8x - 2x = 20 + 4 = 24
or 6x =24
or x= 24/6= 4
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Q180. | Three-fourth of two-third of 240 is added to two-third of a number, the resultant number is 360. What is value of the original number ? |
| 1) | 180 | 2) | 240 |
| 3) | 320 | 4) | 360 |
| 5) | None of these | ||
Answer : 360
Explanation : Given , 3/4 x 2/3 x 240 +2x/3 = 360
Explanation : Given , 3/4 x 2/3 x 240 +2x/3 = 360
or 120 + 2x/3 = 360
or x = 360
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