Last update - Jul 28, 2019
#Q-1. 12×7 = 408
9×8 = 207
13×7 = 109
14×6 = ???
Answer-:
12×7 = 84 = 408
9×8 = 72 = 207
13×7 = 91 = 109
Similarly ,
14×6 = 84 = 408 ans.
#Q-2. 16÷2(4+4) = ???
Solution-:
16÷2(4+4) = 16÷2(8)
= 8(8)
= 64 ans.
#Q-3.
Solution-: sabhi sign question k anusaar change karne par-:
5 sinA - 3 cosA
5 sinA + 2 cosA
= cosA [ 5 (sinA/cosA) - 3 ]
cosA [ 5 (sinA/cosA) + 2 ]
= 5 tanA - 3
5 tanA + 2
= 5(4/5) - 3
5(4/5) + 2
= 4 - 3
4 + 2
= 1/6
(b) 1/6 is correct answer.
Q-5.
Solution-:
40×12+3-6÷60 = ??
Sabse pahale diye question k sign ko question k according change karenge.
40+12÷3×6-60
According to BODMAS rule-:
= 40+4×6-60
= 40+24-60
= 64-60
= 4 Ans.
#Q-6.
Solution -:
Given that,
8a - b² = 24 ............ (i)
8b + b² = 56 ............ (ii)
Adding equation (i) and (ii) we get
8a - b² = 24
8b + b² = 56
#Q-1. 12×7 = 408
9×8 = 207
13×7 = 109
14×6 = ???
Answer-:
12×7 = 84 = 408
9×8 = 72 = 207
13×7 = 91 = 109
Similarly ,
14×6 = 84 = 408 ans.
#Q-2. 16÷2(4+4) = ???
Solution-:
16÷2(4+4) = 16÷2(8)
= 8(8)
= 64 ans.
#Q-3.
Solution-: sabhi sign question k anusaar change karne par-:
9×8+8÷4-9
According to BODMAS rule -:
= 9×8+2-9
= 72+2-9
=74-9
= 65 Ans.
#Q-4.
Solution-:
Diya hai-:
5 tanA = 4
tanA = 4/5
Question diya hai-:
#Q-4.
Solution-:
Diya hai-:
5 tanA = 4
tanA = 4/5
Question diya hai-:
5 sinA - 3 cosA
5 sinA + 2 cosA
= cosA [ 5 (sinA/cosA) - 3 ]
cosA [ 5 (sinA/cosA) + 2 ]
= 5 tanA - 3
5 tanA + 2
= 5(4/5) - 3
5(4/5) + 2
= 4 - 3
4 + 2
= 1/6
(b) 1/6 is correct answer.
Q-5.
Solution-:
40×12+3-6÷60 = ??
Sabse pahale diye question k sign ko question k according change karenge.
40+12÷3×6-60
According to BODMAS rule-:
= 40+4×6-60
= 40+24-60
= 64-60
= 4 Ans.
#Q-6.
Solution -:
Given that,
8a - b² = 24 ............ (i)
8b + b² = 56 ............ (ii)
Adding equation (i) and (ii) we get
8a - b² = 24
8b + b² = 56
8a + 8b = 80
8a + 8b = 80
8 (a + b ) = 80
a + b = 80/8
a + b = 10 ans.
#Q-7.
Solution-:
Diya hai ki -
a+1/a = 2
5a²+5 = 5a(a+1/a)
3a²+9a+3 3a(a+3+1/a)
= 5a(a+1/a)
3a(a+1/a+3)
#Q-7.
Solution-:
Diya hai ki -
a+1/a = 2
5a²+5 = 5a(a+1/a)
3a²+9a+3 3a(a+3+1/a)
= 5a(a+1/a)
3a(a+1/a+3)
= 5(2)
3(2+3)
= 10
15
= 2 Answer.
3
#Q-8. If a+b = 5 and a-b = 2 then
a²-b² = ??
Solution -: formula -:
a²-b² = (a+b)×(a-b)
= 5×2
= 10 Answer.
#Q-9. Yadi 5×4 = 18, 6×3 = 21, 7×2 = 24, 8×1 = 27 ho, to 9×0 = ?
Solution-:
5×4 = (5+1)×(4-1) = 6×3 = 18
6×3 = (6+1)×(3-0) = 7×3 = 21
7×2 = (7+1)×(2+1) = 8×3 = 24
8×1 = (8+1)×(1+2) = 9×3 = 27
Issi type se -:
9×0 = (9+1)×(0+3) = 10×3 = 30 Ans.
#Q-10. If 3=6 , 4=7 , 5=8 then , 6=??
Solution-: 3×2-0 = 6
4×2-1 = 7
5×2-2 = 8
6×2-3 = 9 Ans.
#Q-11. If 324×150 = 54 ,
251×402 = 48 ,
523×246 = 120
Then , 651×345 = ??
Solution-:
324×150 = (3+2+4)×(1+5+0)
= 9×6
= 54
251×402 = (2+5+1)×(4+0+2)
= 8×6
= 48
523×246 = (5+2+3)×(2+4+6)
= 10×12
= 120
651×345 = (6+5+1)×(3+4+5)
= 12×12
= 144 Ans.
#Q-12. 4+4(4-4) = ??
(i) 0 (ii) 2 (iii) 4 (iv) 6
Solution-: According to BADMAS rule -:
4+4(4-4) = 4+4(0)
= 4+4×0
= 4+0
= 4
Answer-: (iii) 4 ✔
#Q-13. If 5=2 , 7=4 , 3=1, & 9=6 , then what is the value of
9÷5(7-3)
(i) 3 (ii) 5
(iii) 7 (iv) 9
Solution-:
= 9÷5(7-3)
Sabhi number ki value rakhne par:
= 6÷2(4-1)
Ab according to BODMAS rule
= 6÷2(3)
= 6÷2×3
= 3×3
= 9 Ans.
Answer-: (iv) 9 ✔
#Q-14. If 425 = 22, 648 = 52, and 741 = 11, then 538 = ??
(i) 41 (ii) 42
(iii) 43 (iv) 44
Solution-:
425 = 4×5+2 = 22
648 = 6×8+4 = 52
741 = 7×1+4 = 11
Then ,
538 = 5×8+3 = 43
Answer-: (iii) 43 ✔
#Q-15.
2 - 2 + 2 × 2 ÷ 2 = ??
(i) 3 (ii) 2
(iii) 1 (iv) 0
Solution-:
⇒ 2 - 2 + 2 × 2 ÷ 2
⇒ 2 - 0 × 2 ÷ 2
⇒ 2 - 0 × 1
⇒ 2 - 0
⇒ 2
Answer-: (ii) 2 ✔
#Q-16. Question mark (?) ke place par kon sa number hoga?
5, 8, ?, 20, 29
(i) 13 (ii) 15
(iii) 17 (iv) 19
Solution-:
5+3=8
8+5=13
13+7=20
20+9=29
Answer-: (i) 13 ✔
#Q-17. 2-2+2×2÷2
(i) 1 (ii) 2
(iii) 3 (iv) 0
Solution-: 2-2+2×2÷2
Sabse pahle divide karenge.
= 2-2+2×1
Uske baad multiply ,
= 2-2+2
Phir positive number means plus .
= 4-2 and last me 4-2 = 2
Answer-: (ii) 2 ✔
#Q-18. 3÷3(4-2)
(i) 0 (ii) 1
(iii) 2 (iv) 3
Solution-: 3÷3(4-2)
Sabse pahle bracket karenge.
= 3÷3×2
Uske baad divide ,
= 1×2
= 2
Answer-: (iii) 2 ✔
#Q-19. What is the value of 0! × 1 = ?
(i) 3 (ii) 2
(iii) 1 (iv) 0
Solution-: Hum jaante hai ki 0! = 1 hota hai.
Isliye 0! × 1 = 1×1 = 1
Answer-: (iii) 1 ✔
#Q-20. 3×4 = 10
4×5 = 17
5×6 = 26
7×8 = ??
Solution-: 3×4 = 3×4-2 = 12-2 = 10
4×5 = 4×5-3 = 20-3 = 17
5×6 = 5×6-4 = 30-4 = 24
7×8 = 7×8-6 = 56-6 = 50
Isliye , 7×8 = 50 Ans.
#Q-21. (1/2)-1/2 = ??
(i) 1/2 (ii) -1/2 (iii) √2 (iv) -√2
Solution-: Hum jaante hai ki, (1/a)-1 = a
Isliye , (1/2)-1/2 = 21/2 = √2
Answer-: (iii) √2 ✔
#Q-22. 2×3 = 49
3×4 = 916
5×6 = 2536
7×8 = ??
(i) 4836 (ii) 4964
(iii) 4012 (iv) 4981
Solution-: 2×3 = 2²3² = 49
3×4 = 3²4² = 916
5×6 = 5²4² = 2536
7×8 = 7²8² = 4964
Answer-: (iii) 4964✔
#Q-23.
(a) 222 (b) 212 (c) 132 (d)122
Solution-: 5×2+2 = 10+2 = 12
12×2+2 = 24+2 = 26
26×2+2 = 52+2 = 54
54×2+2 = 108+2 = 110
110×2+2 = 220+2 = 222
Answer-: (a) 222✔
#Q-24. 12+34 = 10
23+45 = 14
34+56 = 18
56+78 = ??
(A) 22 (B) 26 (C) 30 (D) 34
Solution-: 12+34 = 1+2+3+4 = 10
23+45 = 2+3+4+5 = 14
34+56 = 3+4+5+6 = 18
56+78 = 5+6+7+8 = 26
Answer-: (B) 26✔
#Q-25. 1×2 = 3
2×3 = 4
3×4 = 5
5×6 = ?
(i) 6 (ii) 7 (iii) 8 (iv) 9
Solution-: 1×2 = 3 ⇒ 1, 2, 3
2×3 = 4 ⇒ 2, 3, 4
3×4 = 5 ⇒ 3, 4, 5
To iss prakar se,
5×6 = 7 ⇒ 5, 6, 7
Answer-: (ii) 7✔
#Q-26. 180÷(18÷2)0
(A). 4 (B). 3
(C). 2 (D). 1
Solution-: 180÷(18÷2)0
Hum jaante hai ki, kisi bhi number ke power 0 ho to uski value 1 hoti hai.
Means, a0 = 1
To iss prkar se 180÷(18÷2)0
= 1÷1
= 1
Answer-: (D) 1✔
#Q-27. 2×1 = 1
2×2 = 5
2×3 = 11
2×5 = ??
(A) 26 (B) 27 (C) 28 (D) 29
Solution-: 2×1 = 1² = 1+0 = 1
2×2 = 2² = 4+1 = 5
2×3 = 3² = 9+2 = 11
Iss ke baad 2×4 = 4² = 16+3 = 19 ko hide kar diya gaya hai.
Isliye 2×5 = 5² = 25+4 = 29 Answer hoga.
Answer-: (D) 29✔
#Q-28.
Solution-: 1st square 1st square me total tribhuj = 12
2nd square me total tribhuj = 10
Dono square ka total tribhuj = 12+10 = 22
Answer-: 2. 22✔
3(2+3)
= 10
15
= 2 Answer.
3
#Q-8. If a+b = 5 and a-b = 2 then
a²-b² = ??
Solution -: formula -:
a²-b² = (a+b)×(a-b)
= 5×2
= 10 Answer.
#Q-9. Yadi 5×4 = 18, 6×3 = 21, 7×2 = 24, 8×1 = 27 ho, to 9×0 = ?
Solution-:
5×4 = (5+1)×(4-1) = 6×3 = 18
6×3 = (6+1)×(3-0) = 7×3 = 21
7×2 = (7+1)×(2+1) = 8×3 = 24
8×1 = (8+1)×(1+2) = 9×3 = 27
Issi type se -:
9×0 = (9+1)×(0+3) = 10×3 = 30 Ans.
#Q-10. If 3=6 , 4=7 , 5=8 then , 6=??
Solution-: 3×2-0 = 6
4×2-1 = 7
5×2-2 = 8
6×2-3 = 9 Ans.
#Q-11. If 324×150 = 54 ,
251×402 = 48 ,
523×246 = 120
Then , 651×345 = ??
Solution-:
324×150 = (3+2+4)×(1+5+0)
= 9×6
= 54
251×402 = (2+5+1)×(4+0+2)
= 8×6
= 48
523×246 = (5+2+3)×(2+4+6)
= 10×12
= 120
651×345 = (6+5+1)×(3+4+5)
= 12×12
= 144 Ans.
#Q-12. 4+4(4-4) = ??
(i) 0 (ii) 2 (iii) 4 (iv) 6
Solution-: According to BADMAS rule -:
4+4(4-4) = 4+4(0)
= 4+4×0
= 4+0
= 4
Answer-: (iii) 4 ✔
#Q-13. If 5=2 , 7=4 , 3=1, & 9=6 , then what is the value of
9÷5(7-3)
(i) 3 (ii) 5
(iii) 7 (iv) 9
Solution-:
= 9÷5(7-3)
Sabhi number ki value rakhne par:
= 6÷2(4-1)
Ab according to BODMAS rule
= 6÷2(3)
= 6÷2×3
= 3×3
= 9 Ans.
Answer-: (iv) 9 ✔
#Q-14. If 425 = 22, 648 = 52, and 741 = 11, then 538 = ??
(i) 41 (ii) 42
(iii) 43 (iv) 44
Solution-:
425 = 4×5+2 = 22
648 = 6×8+4 = 52
741 = 7×1+4 = 11
Then ,
538 = 5×8+3 = 43
Answer-: (iii) 43 ✔
#Q-15.
2 - 2 + 2 × 2 ÷ 2 = ??
(i) 3 (ii) 2
(iii) 1 (iv) 0
Solution-:
⇒ 2 - 2 + 2 × 2 ÷ 2
⇒ 2 - 0 × 2 ÷ 2
⇒ 2 - 0 × 1
⇒ 2 - 0
⇒ 2
Answer-: (ii) 2 ✔
#Q-16. Question mark (?) ke place par kon sa number hoga?
5, 8, ?, 20, 29
(i) 13 (ii) 15
(iii) 17 (iv) 19
Solution-:
5+3=8
8+5=13
13+7=20
20+9=29
Answer-: (i) 13 ✔
#Q-17. 2-2+2×2÷2
(i) 1 (ii) 2
(iii) 3 (iv) 0
Solution-: 2-2+2×2÷2
Sabse pahle divide karenge.
= 2-2+2×1
Uske baad multiply ,
= 2-2+2
Phir positive number means plus .
= 4-2 and last me 4-2 = 2
Answer-: (ii) 2 ✔
#Q-18. 3÷3(4-2)
(i) 0 (ii) 1
(iii) 2 (iv) 3
Solution-: 3÷3(4-2)
Sabse pahle bracket karenge.
= 3÷3×2
Uske baad divide ,
= 1×2
= 2
Answer-: (iii) 2 ✔
#Q-19. What is the value of 0! × 1 = ?
(i) 3 (ii) 2
(iii) 1 (iv) 0
Solution-: Hum jaante hai ki 0! = 1 hota hai.
Isliye 0! × 1 = 1×1 = 1
Answer-: (iii) 1 ✔
#Q-20. 3×4 = 10
4×5 = 17
5×6 = 26
7×8 = ??
Solution-: 3×4 = 3×4-2 = 12-2 = 10
4×5 = 4×5-3 = 20-3 = 17
5×6 = 5×6-4 = 30-4 = 24
7×8 = 7×8-6 = 56-6 = 50
Isliye , 7×8 = 50 Ans.
#Q-21. (1/2)-1/2 = ??
(i) 1/2 (ii) -1/2 (iii) √2 (iv) -√2
Solution-: Hum jaante hai ki, (1/a)-1 = a
Isliye , (1/2)-1/2 = 21/2 = √2
Answer-: (iii) √2 ✔
#Q-22. 2×3 = 49
3×4 = 916
5×6 = 2536
7×8 = ??
(i) 4836 (ii) 4964
(iii) 4012 (iv) 4981
Solution-: 2×3 = 2²3² = 49
3×4 = 3²4² = 916
5×6 = 5²4² = 2536
7×8 = 7²8² = 4964
Answer-: (iii) 4964✔
#Q-23.
(a) 222 (b) 212 (c) 132 (d)122
Solution-: 5×2+2 = 10+2 = 12
12×2+2 = 24+2 = 26
26×2+2 = 52+2 = 54
54×2+2 = 108+2 = 110
110×2+2 = 220+2 = 222
Answer-: (a) 222✔
#Q-24. 12+34 = 10
23+45 = 14
34+56 = 18
56+78 = ??
(A) 22 (B) 26 (C) 30 (D) 34
Solution-: 12+34 = 1+2+3+4 = 10
23+45 = 2+3+4+5 = 14
34+56 = 3+4+5+6 = 18
56+78 = 5+6+7+8 = 26
Answer-: (B) 26✔
#Q-25. 1×2 = 3
2×3 = 4
3×4 = 5
5×6 = ?
(i) 6 (ii) 7 (iii) 8 (iv) 9
Solution-: 1×2 = 3 ⇒ 1, 2, 3
2×3 = 4 ⇒ 2, 3, 4
3×4 = 5 ⇒ 3, 4, 5
To iss prakar se,
5×6 = 7 ⇒ 5, 6, 7
Answer-: (ii) 7✔
#Q-26. 180÷(18÷2)0
(A). 4 (B). 3
(C). 2 (D). 1
Solution-: 180÷(18÷2)0
Hum jaante hai ki, kisi bhi number ke power 0 ho to uski value 1 hoti hai.
Means, a0 = 1
To iss prkar se 180÷(18÷2)0
= 1÷1
= 1
Answer-: (D) 1✔
#Q-27. 2×1 = 1
2×2 = 5
2×3 = 11
2×5 = ??
(A) 26 (B) 27 (C) 28 (D) 29
Solution-: 2×1 = 1² = 1+0 = 1
2×2 = 2² = 4+1 = 5
2×3 = 3² = 9+2 = 11
Iss ke baad 2×4 = 4² = 16+3 = 19 ko hide kar diya gaya hai.
Isliye 2×5 = 5² = 25+4 = 29 Answer hoga.
Answer-: (D) 29✔
#Q-28.
2nd square me total tribhuj = 10
Dono square ka total tribhuj = 12+10 = 22
Answer-: 2. 22✔
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