Directions (1-5): The following questions are accompanied by three statements A, B and C. You have to determine which statement(s) is/are necessary/sufficient to answer the question.
Q1. Two friends X and Y entered into a partnership. Find the share of X’s profit.
(A) The ratio of the capitals of X and Y is 3 : 5
(B) X invested his money for two months more than Y.
(C) Y’s share in the total profit is 1000 less than the share of X.
(a) A and B together
(b) A and C together
(c) Any two of them
(d) All together are necessary
(e) All even together are not sufficient
Q2. Find the monthly expenditure of a person.
(A) His monthly income is 2400.
(B) The ratio of his expenditure to his income during the year is 3 : 4
(C) His average monthly saving is 600.
(a) Only A and B together
(b) Only A and C together
(c) Only A and C together
(d) Any two of them
(e) All statements together are required
Q3. Find the area of a parallelogram.
(A) The ratio of the two adjacent sides is m : n.
(B) The length of the other diagonal is x.
(C) The length of the two adjacent sides are y and z.
(a) Only B and C together
(b) Only A and C together
(c) All statements together
(d) All two of them
(e) All statements even together are not sufficient
Q4. A person travels from X to Y and vice versa. How long will it take to travel both the ways by bus?
(A) It takes 15 hours in travelling from X to Y by train and returning by bus.
(B) The distance between two places is 360 km.
(C) He can save 3 hrs if he travels both the ways by train.
(a) A and B together
(b) B and C together
(c) A and C together
(d) Any two of them
(e) All statements are required
Q5. What is the in radius of a right-angled triangle?
(A) The area of the triangle is known.
(B) Any two sides of the triangle are known.
(C) The perimeter of the triangle is known.
(a) Only B
(b) Only A and C together
(c) Any of them
(d) Either B alone or A and C together
(e) All together are necessary
Directions (6-10): Study the following table carefully and answer accordingly: The following table shows the marks obtained by six students in six different subject. Marks within brackets show the total marks.
Q6. In which of the following subjects did Rishab get the least percentage of marks?
(a) Economics
(b) Geography
(c) Computer
(d) Physics
(e) None of these
Q7. What is the average percentage of marks obtained by Shreya?
(a) 67.70%
(b) 60%
(c) 72%
(d) 55%
(e) None of these
Q8. Which student has shown the best performance?
(a) Geetanjali
(b) Arpita
(b) Mehra
(d) Rishab
(e) None of these
Q9. Find the ratio of the marks obtained by Arpita in Economics to that by Shreya in Maths.
(a) 1 : 4
(b) 2 : 5
(c) 2 : 3
(d) 3 : 4
(e) None of these
Q10. Who has secured 60% marks in Physics?
(a) Shreya
(b) Arpita
(c) Geetanjali
(d) Rishab
(e) None of these
Directions (11-15): What should come in place of question mark (?) in the following number series?
Q11. 4 10 30 ? 420 2110
(a) 105
(b) 102
(c) 104
(d) 108
(e) 109
Q12. 50 25 ? 37.5 75 187.5
(a) 20
(b) 40
(c) 25
(d) 22
(e) 26
Q13. 18 55 167 504 ? 4553
(a) 1516
(b) 1416
(c) 1316
(d) 1616
(e) 1716
Q14. 318 158 ? 38 18 8
(a) 68
(b) 78
(c) 58
(d) 48
(e) 55
Q15. 5 36 ? 1093 4376 13133
(a) 74
(b) 515
(c) 218
(d) 219
(e) 220
Answers:
Q1. Two friends X and Y entered into a partnership. Find the share of X’s profit.
(A) The ratio of the capitals of X and Y is 3 : 5
(B) X invested his money for two months more than Y.
(C) Y’s share in the total profit is 1000 less than the share of X.
(a) A and B together
(b) A and C together
(c) Any two of them
(d) All together are necessary
(e) All even together are not sufficient
Ans.(e)
Sol. Since, Time Period is not given, so we cannot find the answer.
Q2. Find the monthly expenditure of a person.
(A) His monthly income is 2400.
(B) The ratio of his expenditure to his income during the year is 3 : 4
(C) His average monthly saving is 600.
(a) Only A and B together
(b) Only A and C together
(c) Only A and C together
(d) Any two of them
(e) All statements together are required
Ans.(d)
Sol. We find the expenditure of a person, using any two statements.
Q3. Find the area of a parallelogram.
(A) The ratio of the two adjacent sides is m : n.
(B) The length of the other diagonal is x.
(C) The length of the two adjacent sides are y and z.
(a) Only B and C together
(b) Only A and C together
(c) All statements together
(d) All two of them
(e) All statements even together are not sufficient
Ans.(a)
Sol. Area of IIgram = Area of two triangles
Area of triangle = √(s(s-a)(s-b)(s-c))
Q4. A person travels from X to Y and vice versa. How long will it take to travel both the ways by bus?
(A) It takes 15 hours in travelling from X to Y by train and returning by bus.
(B) The distance between two places is 360 km.
(C) He can save 3 hrs if he travels both the ways by train.
(a) A and B together
(b) B and C together
(c) A and C together
(d) Any two of them
(e) All statements are required
Q5. What is the in radius of a right-angled triangle?
(A) The area of the triangle is known.
(B) Any two sides of the triangle are known.
(C) The perimeter of the triangle is known.
(a) Only B
(b) Only A and C together
(c) Any of them
(d) Either B alone or A and C together
(e) All together are necessary
Ans.(d)
Sol. In radius = 1/2 (b+p-h)
So the answer can be found by either B alone or A and C together
Directions (6-10): Study the following table carefully and answer accordingly: The following table shows the marks obtained by six students in six different subject. Marks within brackets show the total marks.
Q6. In which of the following subjects did Rishab get the least percentage of marks?
(a) Economics
(b) Geography
(c) Computer
(d) Physics
(e) None of these
Ans.(d)
Sol. Required % = (45*100)/75 = 60%
Q7. What is the average percentage of marks obtained by Shreya?
(a) 67.70%
(b) 60%
(c) 72%
(d) 55%
(e) None of these
Ans.(e)
Sol. Total marks obtained by Shreya = 348
Total marks of paper = 515
Required % of marks = (348*100)/515=67.57%
Q8. Which student has shown the best performance?
(a) Geetanjali
(b) Arpita
(b) Mehra
(d) Rishab
(e) None of these
Ans.(b)
Sol. Arpita has shown the best performance
Q9. Find the ratio of the marks obtained by Arpita in Economics to that by Shreya in Maths.
(a) 1 : 4
(b) 2 : 5
(c) 2 : 3
(d) 3 : 4
(e) None of these
Ans.(c)
Sol. Required Ratio = 56 : 84
= 14 : 21
= 2 : 3
Q10. Who has secured 60% marks in Physics?
(a) Shreya
(b) Arpita
(c) Geetanjali
(d) Rishab
(e) None of these
Ans.(d)
Sol. 60% of 75 = 45 marks
So Risab scored 60% marks in Physics.
Directions (11-15): What should come in place of question mark (?) in the following number series?
Q11. 4 10 30 ? 420 2110
(a) 105
(b) 102
(c) 104
(d) 108
(e) 109
Ans.(b)
Sol. The Series is:
+6x1, +5x2, +4x3, +3x4, +2x5
Q12. 50 25 ? 37.5 75 187.5
(a) 20
(b) 40
(c) 25
(d) 22
(e) 26
Ans.(c)
Sol. The Series is:
X0.5, x1, x1.5, x2, x2.5
Q13. 18 55 167 504 ? 4553
(a) 1516
(b) 1416
(c) 1316
(d) 1616
(e) 1716
Ans.(a)
Sol. The Series is:
x3+1, x3+2, x3+3, x3+4, x3+5
Q14. 318 158 ? 38 18 8
(a) 68
(b) 78
(c) 58
(d) 48
(e) 55
Ans.(b)
Sol. The Series is:
-160, -80, -40, -20, -10
Q15. 5 36 ? 1093 4376 13133
(a) 74
(b) 515
(c) 218
(d) 219
(e) 220
Ans.(c)
Sol. The Series is:
x7+1, x6+2, x5+3, x4+4, x3+5
Q1. Two friends X and Y entered into a partnership. Find the share of X’s profit.
(A) The ratio of the capitals of X and Y is 3 : 5
(B) X invested his money for two months more than Y.
(C) Y’s share in the total profit is 1000 less than the share of X.
(a) A and B together
(b) A and C together
(c) Any two of them
(d) All together are necessary
(e) All even together are not sufficient
Q2. Find the monthly expenditure of a person.
(A) His monthly income is 2400.
(B) The ratio of his expenditure to his income during the year is 3 : 4
(C) His average monthly saving is 600.
(a) Only A and B together
(b) Only A and C together
(c) Only A and C together
(d) Any two of them
(e) All statements together are required
Q3. Find the area of a parallelogram.
(A) The ratio of the two adjacent sides is m : n.
(B) The length of the other diagonal is x.
(C) The length of the two adjacent sides are y and z.
(a) Only B and C together
(b) Only A and C together
(c) All statements together
(d) All two of them
(e) All statements even together are not sufficient
Q4. A person travels from X to Y and vice versa. How long will it take to travel both the ways by bus?
(A) It takes 15 hours in travelling from X to Y by train and returning by bus.
(B) The distance between two places is 360 km.
(C) He can save 3 hrs if he travels both the ways by train.
(a) A and B together
(b) B and C together
(c) A and C together
(d) Any two of them
(e) All statements are required
Q5. What is the in radius of a right-angled triangle?
(A) The area of the triangle is known.
(B) Any two sides of the triangle are known.
(C) The perimeter of the triangle is known.
(a) Only B
(b) Only A and C together
(c) Any of them
(d) Either B alone or A and C together
(e) All together are necessary
Directions (6-10): Study the following table carefully and answer accordingly: The following table shows the marks obtained by six students in six different subject. Marks within brackets show the total marks.
Q6. In which of the following subjects did Rishab get the least percentage of marks?
(a) Economics
(b) Geography
(c) Computer
(d) Physics
(e) None of these
Q7. What is the average percentage of marks obtained by Shreya?
(a) 67.70%
(b) 60%
(c) 72%
(d) 55%
(e) None of these
Q8. Which student has shown the best performance?
(a) Geetanjali
(b) Arpita
(b) Mehra
(d) Rishab
(e) None of these
Q9. Find the ratio of the marks obtained by Arpita in Economics to that by Shreya in Maths.
(a) 1 : 4
(b) 2 : 5
(c) 2 : 3
(d) 3 : 4
(e) None of these
Q10. Who has secured 60% marks in Physics?
(a) Shreya
(b) Arpita
(c) Geetanjali
(d) Rishab
(e) None of these
Directions (11-15): What should come in place of question mark (?) in the following number series?
Q11. 4 10 30 ? 420 2110
(a) 105
(b) 102
(c) 104
(d) 108
(e) 109
Q12. 50 25 ? 37.5 75 187.5
(a) 20
(b) 40
(c) 25
(d) 22
(e) 26
Q13. 18 55 167 504 ? 4553
(a) 1516
(b) 1416
(c) 1316
(d) 1616
(e) 1716
Q14. 318 158 ? 38 18 8
(a) 68
(b) 78
(c) 58
(d) 48
(e) 55
Q15. 5 36 ? 1093 4376 13133
(a) 74
(b) 515
(c) 218
(d) 219
(e) 220
Answers:
Q1. Two friends X and Y entered into a partnership. Find the share of X’s profit.
(A) The ratio of the capitals of X and Y is 3 : 5
(B) X invested his money for two months more than Y.
(C) Y’s share in the total profit is 1000 less than the share of X.
(a) A and B together
(b) A and C together
(c) Any two of them
(d) All together are necessary
(e) All even together are not sufficient
Ans.(e)
Sol. Since, Time Period is not given, so we cannot find the answer.
Q2. Find the monthly expenditure of a person.
(A) His monthly income is 2400.
(B) The ratio of his expenditure to his income during the year is 3 : 4
(C) His average monthly saving is 600.
(a) Only A and B together
(b) Only A and C together
(c) Only A and C together
(d) Any two of them
(e) All statements together are required
Ans.(d)
Sol. We find the expenditure of a person, using any two statements.
Q3. Find the area of a parallelogram.
(A) The ratio of the two adjacent sides is m : n.
(B) The length of the other diagonal is x.
(C) The length of the two adjacent sides are y and z.
(a) Only B and C together
(b) Only A and C together
(c) All statements together
(d) All two of them
(e) All statements even together are not sufficient
Ans.(a)
Sol. Area of IIgram = Area of two triangles
Area of triangle = √(s(s-a)(s-b)(s-c))
Q4. A person travels from X to Y and vice versa. How long will it take to travel both the ways by bus?
(A) It takes 15 hours in travelling from X to Y by train and returning by bus.
(B) The distance between two places is 360 km.
(C) He can save 3 hrs if he travels both the ways by train.
(a) A and B together
(b) B and C together
(c) A and C together
(d) Any two of them
(e) All statements are required
Q5. What is the in radius of a right-angled triangle?
(A) The area of the triangle is known.
(B) Any two sides of the triangle are known.
(C) The perimeter of the triangle is known.
(a) Only B
(b) Only A and C together
(c) Any of them
(d) Either B alone or A and C together
(e) All together are necessary
Ans.(d)
Sol. In radius = 1/2 (b+p-h)
So the answer can be found by either B alone or A and C together
Directions (6-10): Study the following table carefully and answer accordingly: The following table shows the marks obtained by six students in six different subject. Marks within brackets show the total marks.
Q6. In which of the following subjects did Rishab get the least percentage of marks?
(a) Economics
(b) Geography
(c) Computer
(d) Physics
(e) None of these
Ans.(d)
Sol. Required % = (45*100)/75 = 60%
Q7. What is the average percentage of marks obtained by Shreya?
(a) 67.70%
(b) 60%
(c) 72%
(d) 55%
(e) None of these
Ans.(e)
Sol. Total marks obtained by Shreya = 348
Total marks of paper = 515
Required % of marks = (348*100)/515=67.57%
Q8. Which student has shown the best performance?
(a) Geetanjali
(b) Arpita
(b) Mehra
(d) Rishab
(e) None of these
Ans.(b)
Sol. Arpita has shown the best performance
Q9. Find the ratio of the marks obtained by Arpita in Economics to that by Shreya in Maths.
(a) 1 : 4
(b) 2 : 5
(c) 2 : 3
(d) 3 : 4
(e) None of these
Ans.(c)
Sol. Required Ratio = 56 : 84
= 14 : 21
= 2 : 3
Q10. Who has secured 60% marks in Physics?
(a) Shreya
(b) Arpita
(c) Geetanjali
(d) Rishab
(e) None of these
Ans.(d)
Sol. 60% of 75 = 45 marks
So Risab scored 60% marks in Physics.
Directions (11-15): What should come in place of question mark (?) in the following number series?
Q11. 4 10 30 ? 420 2110
(a) 105
(b) 102
(c) 104
(d) 108
(e) 109
Ans.(b)
Sol. The Series is:
+6x1, +5x2, +4x3, +3x4, +2x5
Q12. 50 25 ? 37.5 75 187.5
(a) 20
(b) 40
(c) 25
(d) 22
(e) 26
Ans.(c)
Sol. The Series is:
X0.5, x1, x1.5, x2, x2.5
Q13. 18 55 167 504 ? 4553
(a) 1516
(b) 1416
(c) 1316
(d) 1616
(e) 1716
Ans.(a)
Sol. The Series is:
x3+1, x3+2, x3+3, x3+4, x3+5
Q14. 318 158 ? 38 18 8
(a) 68
(b) 78
(c) 58
(d) 48
(e) 55
Ans.(b)
Sol. The Series is:
-160, -80, -40, -20, -10
Q15. 5 36 ? 1093 4376 13133
(a) 74
(b) 515
(c) 218
(d) 219
(e) 220
Ans.(c)
Sol. The Series is:
x7+1, x6+2, x5+3, x4+4, x3+5
