MINI MOCK TEST SOLUTIONS-----CREATED BY PANKUL ...
MINI MOCK TEST SOLUTIONS-----CREATED BY PANKUL REASONING 1. Anupriya starts from point A in east direction. She walks for 6 m and takes a left turn. Next she walks 7 m and reaches point B. From here she takes a right turn and walks 3 m before turning right again. Next she walks 12 m and takes a final right turn to reach point C south of A. Find distance CB. A) 7√2 m B) 5√10 m C) 12 m D) 6√5 m E) None of these Answer Option D Solution: Vertical distance = 12 m Horizontal distance = 9 m So CB = √(122 + 62) = 6√5 m 2. Hema starts walking from point A in west direction. She walks for 9 m and takes a right turn. Now she walks for 8 m and takes a right turn again. Next she walks 5m to turn right again. Next she walks 12 m, takes a left turn to reach point B. Point A is to the north of point B. Find AB. A) 6 m B) 5 m C) 7 m D) 4 m E) 8 m Answer Option D 12 – 8 = 4m 3. If the first digit is divided by 2, 4 is added to second digit, third digit is again divided by 2, and so on in the number – 236184250, then find how many digits are greater than 5 in the new number thus formed. A) Four B) Two C) Three D) None E) Six Answer Option C 236184250 changes to 173548190. So numbers greater than 5 are – 7, 8 and 9 4. D who has only 1 child is the mother of A. B is the daughter-in-law of D. F is son of A. E is brother of B. C is the mother of E. How is F related to C?
A) uncle B) grandson C) brother D) son E) Cannot be determined Answer Option B Solution: Since D has only 1 child so that is A, and B is her daughter-in-law. So B is wife of A. and F is son of B. E is brother of B. C is the mother of E. So F is grandson of C. 5. Four person – L, M, N, O lives in a building having 4 floors one above the other but not necessarily in the same order. One person lives between L and the one who likes Tulip. M likes Orchids. 1 person lives between the floors of M and O. O is not on top floor but below the floor of one who likes tulip. The one on top floor likes Rose. Who lives on the second floor? A) O B) M C) L D) N E) Cannot be determined Answer Option D Solution: The arrangement from top floor to 1st floor is – L (Rose), M (Orchids), N (Tulip), O 6. A, B, C, D, and E have seminars from Monday – Friday. One day – One seminar. There is one seminar between A and B’s. A’s seminar is before Wednesday. C’s seminar is before E. E’s seminar is not on Friday. The number of seminars between the seminars of B and D is same as between A and B’s. How many seminars are before the seminar of B? A) none B) three C) four D) two E) Cannot be determined Answer Option D Solution: The arrangement from Monday to Friday is – A, C, B, E, D 7. A is brother of B. B is father of C. D is daughter of C. F is bother of C. E is mother of D. How is F related to E? A) brother B) son C) uncle
D) brother-in-law E) A) or D) Answer Option D 8. In in number – 421836257, to each odd number 2 is added and from each even number 2 is subtracted, then find the difference between the largest digit and the second smallest digit in the number so formed. A) 7 B) 8 C) 6 D) 9 E) None of these Answer Option A Solution: 421836257 becomes – 203654079 So 9 – 2 = 7 Directions (9-10): A, B, C, D, E and F have some number of pens. Nobody has same number of pens. A has more pens than D but less than F. C has less number of pens than only 1 person. The number of pens with D is just 1 greater than with B. E has less number of pens than D. The one with second largest number of pens has 66 pens. 9. If E has 42 pens, then find the total number of pens with E and A. A) 113 B) 100 C) 99 D) 102 E) cannot be determined Answer Option E Solution: The order in increasing order of number of pens– E, B, D, A , C (66), F We do not know number of pens with A 10. If D has 55 pens, then how many pens could A have? A) 68 B) 58 C) 73 D) 54 E) 50 Answer
Option B Solution: IT will be between 55 and 66
11.Statements: – Some tyres are bags. All bags are shirts. No shirt is a Tie Conclusions: – 1) All tyres being shirts is a possibility 2) Some shirts are not bags 1) If only conclusion I follows. 2) If only conclusion II follows. 3) If either conclusion I or II follows. 4) If neither conclusion I nor II follows. 5) If both conclusions I and II follow. Answer – 1) If only conclusion I follows.
Explanation :
And also there is possibility that shirts and bags overlap each other like So second conclusion doesn’t follow. 12.Statements: – Some tyres are bags. All bags are shirts. No shirt is a Tie Conclusions: – 1) All Tie being tyres is a possibility 2) No bag is a Tie 1) If only conclusion I follows. 2) If only conclusion II follows. 3) If either conclusion I or II follows. 4) If neither conclusion I nor II follows. 5) If both conclusions I and II follow.
Answer – 5) If both conclusions I and II follow.
13.Statements: – Some knives are pins. All pins are needles. No needle is a lock Conclusions: – 1) Some locks are knives 2) No lock is a knife 1) If only conclusion I follows. 2) If only conclusion II follows. 3) If either conclusion I or II follows. 4) If neither conclusion I nor II follows. 5) If both conclusions I and II follow. Answer – 3) If either conclusion I or II follows.
14.Statements: – Some inputs are outputs. All outputs are wrong. No wrong is a result. Conclusions: – 1) All inputs being wrong is a possibility 2) All results being inputs is a possibility 1) If only conclusion I follows. 2) If only conclusion II follows. 3) If either conclusion I or II follows. 4) If neither conclusion I nor II follows. 5) If both conclusions I and II follow.
Answer – 5) If both conclusions I and II follow
Explanation :
15.Statements: – Some inputs are outputs. All outputs are wrong. No wrong is a result. Conclusions: – 1) No output is a result 2) Some wrong are not outputs 1) If only conclusion I follows. 2) If only conclusion II follows. 3) If either conclusion I or II follows. 4) If neither conclusion I nor II follows. 5) If both conclusions I and II follow. Answer – 1) If only conclusion I follows
Explanation : There is possibility that output and wrong overlap each other, so second conclusion doesn’t follow
Directions (16 – 20): Study the following information to answer the given questions: Eight People A, B, C, D, E, F, G and H are sitting in a straight line, all of them facing the same direction. Each one of them has birthdays in different months – January, February, April, May, July, September, October and December but not necessarily in the same order. G sits third to the right of the person whose birthday is in July. The person whose birthday is in December sits second to the right of G. A and E are immediate neighbors of each other and neither of them have their birthdays either in July or December and they are not immediate neighbor of G. H sits third to the right of the person whose birthday is in January. Neither A nor E join in January. H’s birthday is not in December. Only two people sit between E and the person whose birthday is in October. The person whose birthday is in February sits to the immediate left of D. Only one person sits between E and B. C has his birthday in one of the months before October. E’s birthday is in a month after May. G’s birthday is after A’s.
16.Whose birthday is in October? A) A B) B C) F D) D E) None of the above Answer Option C Arrangement:
17.How many persons are sitting between A and F? A) None B) One C) Two D) Three E) More than three Answer Option D 18.Who is sitting second to left of G? A) F B) D C) H D) B E) None of the above Answer Option D 19.B’s birthday is in which month? A) December B) February C) January D) April E) September Answer
Option C 20.If E and H interchange their places, then who is sitting at second to left of H? A) B B) D C) A D) F E) None of these Answer
Option E
Quantitative Aptitude
Study the following table carefully to answer the given Questions The table gives the stock market data for 5 companies in the last 25 weeks
Company A B C D E
Current Market Price(Rs) 129 325 543 254 420
Last 25 weeks Highest Price(Rs) 356 760 1450 655 951
Lowest Price(Rs.) 114 200 320 97 121
1. The difference in the 25 weeks Highest & lowest price is highest for which of the following Company ? 1.A 2.C 3.E 4.B 5.None of these Answer – 2.C Explanation : A = 356-114 = 242 B = 760-200 = 560
C = 1450 – 320 = 1130 D = 655 – 97 = 558 E = 951-121 = 800 2. How much % is the lowest Price of E is lower than the highest price of D (approximately) ? 1.82% 2.75% 3.88% 4.90& 5.None of these Answer – 1.82% Explanation : E lowest Price = 121 D highest Price = 655 % = 655-121/655 * 100 = 81.52 = 82% 3.
What is the % gain for B from 25 weeks lowest price to the current price ? 1.82.5% 2.73.6% 3.62.5% 4.55.7% 5.None of these Answer – 3.62.5% Explanation : Gain = 325-200/200 * 100 = 125*100/200 = 62.5
4. Which of the following companies has lowest average market price ?(Average price is equal to average of high, low and current prices ) 1.C 2.E 3.D 4.A 5.None of these Answer – 4.A Explanation :
A = 129+356+114/3 = 199.7 B =325+760+200/3 = 428.3 C = 543+1450+320/3 = 771 D = 354+655+97 /3= 335.3 E = 420+951+121/3 = 497.3 5.
What is the total of highest price of all the five companies in the last 25 weeks ? 1.4172 2.3243 3.2342 4.5122 5.None of these Answer – 1.4172 Explanation : Total = 356+760+1450+655+951 = 4172
Direction: Q(6 –11) Study the following charts and answer the following questions: In a school there are total of 240 staff members and 1600 students. 65 percent of the numbers of staff members are teachers and the remaining staff members are administrative officials. Out of the total number of the students 45 percent are girls. Twenty percent of the number of girls can speak only English. The remaining girls can speak both Hindi and English. Three-fourths of the number of boys can speak only English. The remaining boys can speak both Hindi and English. Two –thirds of the numbers of teachers are males. Five-fourteens of the number of the administrative officials are females. Explanation answer Staff members = 240 [Teachers = 156 (male = 104. Females = 52) and Administrative staff = 84 (Male = 54, female = 30)] Students = 1600 [Boys = 880 (only English = 660, both Hindi and English = 220)], Girls = 720 (only English = 144, both Hindi and English = 576)] 6.What is the difference between the number of boys (students) who can speak both Hindi and English and the number of girls (students) who can speak both Hindi and English? a) 346
b) 356 c) 376 d) 400 e) None of these Answer – b) 356 Explanation : 576 – 220 = 356 7.The total number of girls students is what percent of the total number of staff members in the school? a) 100% b) 200% c) 300% d) 400% e) None of these Answer – c) 300% Explanation : (720/240)*100 = 300% 8.What is the difference between the number of total number of female administrative officials, female teachers and the number of male administrative officials? a) 14 b) 22 c) 28 d) 30 e) None of these Answer – c) 28 Explanation : 30 + 52 – 54 = 28 9.What is the ratio of the total number of teachers to the number of boys (students) who can speak English only? a) 13:53 b) 13:55 c) 13:56
d) 13:57 e) None of these Answer – b) 13:55 Explanation : 156:660 = 13:55 10.What is the total number of male administrative officials, female teachers and girls (students) who can speak English only? a) 125 b) 225 c) 250 d) 300 e) None of these Answer – c) 250 Explanation : 54 + 52 + 144 = 250 11.What is the ratio of the number of male administrative staff to the number of girls students who speak only English? a) 5:8 b) 3:11 c) 3:7 d) 3:8 e) None of these Answer – d) 3:8 Explanation : 54:144 = 3:8
12.14, 9, 12, 28, 121, 942, 15079 A) 9 B) 12 C) 28 D) 121 E) 942 Answer
Option D Pattern: 14×0.5 + 2 = 9 9×1 + 3 = 12 12×2 + 4 = 928 28×4 + 5 = 117 117×8 + 6 = 942 942×16 + 7 = 15079 13.12, 24, 41, 68, 105, 172, 259 A) 23 B) 41 C) 68 D) 105 E) 172 Answer Option D Pattern: 12…….24……..41…….68…….110……172……259 ….+12……+17…..+27……+42…….+62…..+87 ……….+5……+10……+15……+20……+25 14.9, 16, 27, 50, 77, 124, 191 A) 16 B) 27 C) 50 D) 77 E) 124 Answer Option C Pattern: 9…….16……..27…….46…….77……124……191 …+7……+11…….+19….+31……+47…..+67 ……+4……..+8……+12……+16….+20 15.9, 21, 45, 94, 189, 381, 765 A) 21 B) 45 C) 94 D) 189 E) 381 Answer Option C Pattern: 9×2 + 3 = 21
21×2 + 3 = 45 45×2 + 3 = 93 93×2 + 3 = 189 189×2 + 3 = 381 381×2 + 3 = 765 16.8, 10, 36, 73, 297, 1491, 8953 A) 10 B) 36 C) 73 D) 297 E) 1491 Answer Option B Pattern: 8×1 + 2 = 10, 10×2 + 3 = 23, 23×3 + 4 = 73, 73×4 + 5 = 297, 297×5 + 6 = 1491, 1491×6 + 7 = 8953
17. I. 4x2 – 9x – 9 = 0, II. 4y2 + 11y + 6 = 0 A) If x > y B) If x < y C) If x ≥ y D) If x ≤ y E) If x = y or relation cannot be established View Answer Option C Solution: 4x2 – 9x – 9 = 0 4x2 – 12x + 3x – 9 = 0 Gives x = -3/4, 3 4y2 + 11y + 6 = 0 4y2 + 8y + 3y + 6 = 0 Gives y = -2, -3/4 Put all values on number line and analyze the relationship -2…. -3/4….3 18. I. 3x2 – 2x – 21 = 0, II. 6y2 + 17y + 7 = 0 A) If x > y B) If x < y C) If x ≥ y D) If x ≤ y E) If x = y or relation cannot be established
Answer Option E Solution: 3x2 – 2x – 21 = 0 3x2 – 9x + 7x – 21 = 0 Gives x = -7/3, 3 6y2 + 17y + 7 = 0 6y2 + 3y + 14y + 7 = 0 Gives y = -7/3, -1/2
19. 350% of ? ÷ 50 + 248 = 591 A. 4700 B. 4900 C. 4100 D. 4600 E. None of these Answer – B. 4900 Explanation : 350% of ? ÷ 50 + 248 = 591 x = (343 * 100 * 50) / 350 = 4900 20. 534.596 + 61.472 – 496.708 = ? + 27.271 A. 126.631 B. 62.069 C. 72.089 D. 132.788 E. None of the above Answer –C. 72.089 Explanation : = 534.596 + 61.472 – 496.708 – 27.271 = 596.068 – 523.979 = 72.089
THANK YOU
A) uncle B) grandson C) brother D) son E) Cannot be determined Answer Option B Solution: Since D has only 1 child so that is A, and B is her daughter-in-law. So B is wife of A. and F is son of B. E is brother of B. C is the mother of E. So F is grandson of C. 5. Four person – L, M, N, O lives in a building having 4 floors one above the other but not necessarily in the same order. One person lives between L and the one who likes Tulip. M likes Orchids. 1 person lives between the floors of M and O. O is not on top floor but below the floor of one who likes tulip. The one on top floor likes Rose. Who lives on the second floor? A) O B) M C) L D) N E) Cannot be determined Answer Option D Solution: The arrangement from top floor to 1st floor is – L (Rose), M (Orchids), N (Tulip), O 6. A, B, C, D, and E have seminars from Monday – Friday. One day – One seminar. There is one seminar between A and B’s. A’s seminar is before Wednesday. C’s seminar is before E. E’s seminar is not on Friday. The number of seminars between the seminars of B and D is same as between A and B’s. How many seminars are before the seminar of B? A) none B) three C) four D) two E) Cannot be determined Answer Option D Solution: The arrangement from Monday to Friday is – A, C, B, E, D 7. A is brother of B. B is father of C. D is daughter of C. F is bother of C. E is mother of D. How is F related to E? A) brother B) son C) uncle
D) brother-in-law E) A) or D) Answer Option D 8. In in number – 421836257, to each odd number 2 is added and from each even number 2 is subtracted, then find the difference between the largest digit and the second smallest digit in the number so formed. A) 7 B) 8 C) 6 D) 9 E) None of these Answer Option A Solution: 421836257 becomes – 203654079 So 9 – 2 = 7 Directions (9-10): A, B, C, D, E and F have some number of pens. Nobody has same number of pens. A has more pens than D but less than F. C has less number of pens than only 1 person. The number of pens with D is just 1 greater than with B. E has less number of pens than D. The one with second largest number of pens has 66 pens. 9. If E has 42 pens, then find the total number of pens with E and A. A) 113 B) 100 C) 99 D) 102 E) cannot be determined Answer Option E Solution: The order in increasing order of number of pens– E, B, D, A , C (66), F We do not know number of pens with A 10. If D has 55 pens, then how many pens could A have? A) 68 B) 58 C) 73 D) 54 E) 50 Answer
Option B Solution: IT will be between 55 and 66
11.Statements: – Some tyres are bags. All bags are shirts. No shirt is a Tie Conclusions: – 1) All tyres being shirts is a possibility 2) Some shirts are not bags 1) If only conclusion I follows. 2) If only conclusion II follows. 3) If either conclusion I or II follows. 4) If neither conclusion I nor II follows. 5) If both conclusions I and II follow. Answer – 1) If only conclusion I follows.
Explanation :
And also there is possibility that shirts and bags overlap each other like So second conclusion doesn’t follow. 12.Statements: – Some tyres are bags. All bags are shirts. No shirt is a Tie Conclusions: – 1) All Tie being tyres is a possibility 2) No bag is a Tie 1) If only conclusion I follows. 2) If only conclusion II follows. 3) If either conclusion I or II follows. 4) If neither conclusion I nor II follows. 5) If both conclusions I and II follow.
Answer – 5) If both conclusions I and II follow.
13.Statements: – Some knives are pins. All pins are needles. No needle is a lock Conclusions: – 1) Some locks are knives 2) No lock is a knife 1) If only conclusion I follows. 2) If only conclusion II follows. 3) If either conclusion I or II follows. 4) If neither conclusion I nor II follows. 5) If both conclusions I and II follow. Answer – 3) If either conclusion I or II follows.
14.Statements: – Some inputs are outputs. All outputs are wrong. No wrong is a result. Conclusions: – 1) All inputs being wrong is a possibility 2) All results being inputs is a possibility 1) If only conclusion I follows. 2) If only conclusion II follows. 3) If either conclusion I or II follows. 4) If neither conclusion I nor II follows. 5) If both conclusions I and II follow.
Answer – 5) If both conclusions I and II follow
Explanation :
15.Statements: – Some inputs are outputs. All outputs are wrong. No wrong is a result. Conclusions: – 1) No output is a result 2) Some wrong are not outputs 1) If only conclusion I follows. 2) If only conclusion II follows. 3) If either conclusion I or II follows. 4) If neither conclusion I nor II follows. 5) If both conclusions I and II follow. Answer – 1) If only conclusion I follows
Explanation : There is possibility that output and wrong overlap each other, so second conclusion doesn’t follow
Directions (16 – 20): Study the following information to answer the given questions: Eight People A, B, C, D, E, F, G and H are sitting in a straight line, all of them facing the same direction. Each one of them has birthdays in different months – January, February, April, May, July, September, October and December but not necessarily in the same order. G sits third to the right of the person whose birthday is in July. The person whose birthday is in December sits second to the right of G. A and E are immediate neighbors of each other and neither of them have their birthdays either in July or December and they are not immediate neighbor of G. H sits third to the right of the person whose birthday is in January. Neither A nor E join in January. H’s birthday is not in December. Only two people sit between E and the person whose birthday is in October. The person whose birthday is in February sits to the immediate left of D. Only one person sits between E and B. C has his birthday in one of the months before October. E’s birthday is in a month after May. G’s birthday is after A’s.
16.Whose birthday is in October? A) A B) B C) F D) D E) None of the above Answer Option C Arrangement:
17.How many persons are sitting between A and F? A) None B) One C) Two D) Three E) More than three Answer Option D 18.Who is sitting second to left of G? A) F B) D C) H D) B E) None of the above Answer Option D 19.B’s birthday is in which month? A) December B) February C) January D) April E) September Answer
Option C 20.If E and H interchange their places, then who is sitting at second to left of H? A) B B) D C) A D) F E) None of these Answer
Option E
Quantitative Aptitude
Study the following table carefully to answer the given Questions The table gives the stock market data for 5 companies in the last 25 weeks
Company A B C D E
Current Market Price(Rs) 129 325 543 254 420
Last 25 weeks Highest Price(Rs) 356 760 1450 655 951
Lowest Price(Rs.) 114 200 320 97 121
1. The difference in the 25 weeks Highest & lowest price is highest for which of the following Company ? 1.A 2.C 3.E 4.B 5.None of these Answer – 2.C Explanation : A = 356-114 = 242 B = 760-200 = 560
C = 1450 – 320 = 1130 D = 655 – 97 = 558 E = 951-121 = 800 2. How much % is the lowest Price of E is lower than the highest price of D (approximately) ? 1.82% 2.75% 3.88% 4.90& 5.None of these Answer – 1.82% Explanation : E lowest Price = 121 D highest Price = 655 % = 655-121/655 * 100 = 81.52 = 82% 3.
What is the % gain for B from 25 weeks lowest price to the current price ? 1.82.5% 2.73.6% 3.62.5% 4.55.7% 5.None of these Answer – 3.62.5% Explanation : Gain = 325-200/200 * 100 = 125*100/200 = 62.5
4. Which of the following companies has lowest average market price ?(Average price is equal to average of high, low and current prices ) 1.C 2.E 3.D 4.A 5.None of these Answer – 4.A Explanation :
A = 129+356+114/3 = 199.7 B =325+760+200/3 = 428.3 C = 543+1450+320/3 = 771 D = 354+655+97 /3= 335.3 E = 420+951+121/3 = 497.3 5.
What is the total of highest price of all the five companies in the last 25 weeks ? 1.4172 2.3243 3.2342 4.5122 5.None of these Answer – 1.4172 Explanation : Total = 356+760+1450+655+951 = 4172
Direction: Q(6 –11) Study the following charts and answer the following questions: In a school there are total of 240 staff members and 1600 students. 65 percent of the numbers of staff members are teachers and the remaining staff members are administrative officials. Out of the total number of the students 45 percent are girls. Twenty percent of the number of girls can speak only English. The remaining girls can speak both Hindi and English. Three-fourths of the number of boys can speak only English. The remaining boys can speak both Hindi and English. Two –thirds of the numbers of teachers are males. Five-fourteens of the number of the administrative officials are females. Explanation answer Staff members = 240 [Teachers = 156 (male = 104. Females = 52) and Administrative staff = 84 (Male = 54, female = 30)] Students = 1600 [Boys = 880 (only English = 660, both Hindi and English = 220)], Girls = 720 (only English = 144, both Hindi and English = 576)] 6.What is the difference between the number of boys (students) who can speak both Hindi and English and the number of girls (students) who can speak both Hindi and English? a) 346
b) 356 c) 376 d) 400 e) None of these Answer – b) 356 Explanation : 576 – 220 = 356 7.The total number of girls students is what percent of the total number of staff members in the school? a) 100% b) 200% c) 300% d) 400% e) None of these Answer – c) 300% Explanation : (720/240)*100 = 300% 8.What is the difference between the number of total number of female administrative officials, female teachers and the number of male administrative officials? a) 14 b) 22 c) 28 d) 30 e) None of these Answer – c) 28 Explanation : 30 + 52 – 54 = 28 9.What is the ratio of the total number of teachers to the number of boys (students) who can speak English only? a) 13:53 b) 13:55 c) 13:56
d) 13:57 e) None of these Answer – b) 13:55 Explanation : 156:660 = 13:55 10.What is the total number of male administrative officials, female teachers and girls (students) who can speak English only? a) 125 b) 225 c) 250 d) 300 e) None of these Answer – c) 250 Explanation : 54 + 52 + 144 = 250 11.What is the ratio of the number of male administrative staff to the number of girls students who speak only English? a) 5:8 b) 3:11 c) 3:7 d) 3:8 e) None of these Answer – d) 3:8 Explanation : 54:144 = 3:8
12.14, 9, 12, 28, 121, 942, 15079 A) 9 B) 12 C) 28 D) 121 E) 942 Answer
Option D Pattern: 14×0.5 + 2 = 9 9×1 + 3 = 12 12×2 + 4 = 928 28×4 + 5 = 117 117×8 + 6 = 942 942×16 + 7 = 15079 13.12, 24, 41, 68, 105, 172, 259 A) 23 B) 41 C) 68 D) 105 E) 172 Answer Option D Pattern: 12…….24……..41…….68…….110……172……259 ….+12……+17…..+27……+42…….+62…..+87 ……….+5……+10……+15……+20……+25 14.9, 16, 27, 50, 77, 124, 191 A) 16 B) 27 C) 50 D) 77 E) 124 Answer Option C Pattern: 9…….16……..27…….46…….77……124……191 …+7……+11…….+19….+31……+47…..+67 ……+4……..+8……+12……+16….+20 15.9, 21, 45, 94, 189, 381, 765 A) 21 B) 45 C) 94 D) 189 E) 381 Answer Option C Pattern: 9×2 + 3 = 21
21×2 + 3 = 45 45×2 + 3 = 93 93×2 + 3 = 189 189×2 + 3 = 381 381×2 + 3 = 765 16.8, 10, 36, 73, 297, 1491, 8953 A) 10 B) 36 C) 73 D) 297 E) 1491 Answer Option B Pattern: 8×1 + 2 = 10, 10×2 + 3 = 23, 23×3 + 4 = 73, 73×4 + 5 = 297, 297×5 + 6 = 1491, 1491×6 + 7 = 8953
17. I. 4x2 – 9x – 9 = 0, II. 4y2 + 11y + 6 = 0 A) If x > y B) If x < y C) If x ≥ y D) If x ≤ y E) If x = y or relation cannot be established View Answer Option C Solution: 4x2 – 9x – 9 = 0 4x2 – 12x + 3x – 9 = 0 Gives x = -3/4, 3 4y2 + 11y + 6 = 0 4y2 + 8y + 3y + 6 = 0 Gives y = -2, -3/4 Put all values on number line and analyze the relationship -2…. -3/4….3 18. I. 3x2 – 2x – 21 = 0, II. 6y2 + 17y + 7 = 0 A) If x > y B) If x < y C) If x ≥ y D) If x ≤ y E) If x = y or relation cannot be established
Answer Option E Solution: 3x2 – 2x – 21 = 0 3x2 – 9x + 7x – 21 = 0 Gives x = -7/3, 3 6y2 + 17y + 7 = 0 6y2 + 3y + 14y + 7 = 0 Gives y = -7/3, -1/2
19. 350% of ? ÷ 50 + 248 = 591 A. 4700 B. 4900 C. 4100 D. 4600 E. None of these Answer – B. 4900 Explanation : 350% of ? ÷ 50 + 248 = 591 x = (343 * 100 * 50) / 350 = 4900 20. 534.596 + 61.472 – 496.708 = ? + 27.271 A. 126.631 B. 62.069 C. 72.089 D. 132.788 E. None of the above Answer –C. 72.089 Explanation : = 534.596 + 61.472 – 496.708 – 27.271 = 596.068 – 523.979 = 72.089
THANK YOU
