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जब x = 1, तो |2x – 1| + |x – 3| का मान होगा-
(A) 2
(B) -2
(C) 3
(D) -3
Q-2 If 3 sin x + 5cosx = 5 then what is the value of (3cosx - 5sinx)
यदि 3 sin x + 5cosx = 5 तो (3cosx - 5sinx) का मान है।
(A) 1
(B) 0
(C) 3
(D) 2
Q-3 The sum of two numbers is 232 and their HCF is 29. What is the numbers of such pairs of numbers satisfied the above condition.
दो संख्याओं का योग 232 और उनका म.स.प. 29 है। संख्याओं के कितने जोड़े इनकों संतुष्ट करेंगे ?
(A) 0
(B) 1
(C) 2
(D) 3
Q-4 In
the quadrilateral ABCD shown below, ∠DAB = ∠DCX
= 110o if ∠ABC = 105o ,what is the value of ∠ADC?
नीचे दिखाये गये चतुर्भुज ABCD , ∠DAB
= ∠DCX = 110o यदि ∠ABC
= 105o तो ∠ADC का मान क्या है ?
(A) 600
(B) 850
(C) 750
(D) 1100
Q-5 I purchase some mango at the rate of 18 for Rs. 22 and sold the whole lot at the rate of 22 for Rs. 18 find the approximately gain or loss percent.
मैंने कुछ आम 22 रूपए में 18 की दर से खरीदा और उन सभी को 18 रूपए में 22 की दर से बेच दिया। उसका लाभ अथवा हानि प्रतिशत लगभग है ?
(A) 46%
(B) 33%
(C) 28%
(D) 18%
Q-6 The number 34041 and 32506 when divide by a certain number of three digit leaves the same reainder. What is the number ?
संख्या 34041 और 32506 को जब किसी तीन अंकों की संख्या से भाग दिया जाता है तो समान शेषफल प्राप्त होता है। संख्या क्या है?
(A) 307
(B) 288
(C) 213
(D) 407
Q-7 Two train approach each other at 30 km/hr and 27 km/hr. From two places 342 km. apart. After how much time will they meet? (in hours)
दो स्थानों की दूरी 342 किमी. है से दो ट्रेन एक दूसरे की तरफ 30 किमी/घं. और 27 किमी/घं. की चाल से चलती है तो वे कितने समय बाद मिलेंगी? (घंटो में)
(A) 8
(B) 5
(C) 9
(D) 6
Q-8 What is the difference between compound interest and simple interest on Rs. 2500 for 2 years at 4% per annum?
2500 रूपए का 4% वार्षिक ब्याज की दर से 2 वर्षों के चक्रवृद्धि ब्याज तथा साधारण ब्याज का अंतर क्या है?
(A) 40 Rs/रु.
(B) 400 Rs/रु.
(C) 4 Rs/रु.
(D) 20 Rs/रु.
Q-9 If the height of a given cone be doubled and radius of base remains the same, the ratio of the volume of the given cone to that the second cone will be -
यदि दिये गये शंकु की ऊँचाई को दोगुना कर दिया जाए तथा त्रिज्या समान रहे तो दिये गये शंकु का आयतन और दूसरे शंकु के आयतन के मध्य अनुपात है-
(A) 1:2
(B) 2:1
(C) 3:2
(D) 2:3
Q-10 If 13 + 23 + .....+103 = 3025 then 4 + 32 + 108 + ..... 4000 is equal to -
यदि 13 + 23
+ .....+103 = 3025 तो 4 +
32 + 108 + ..... 4000 के बराबर है-
(A) 12100
(B) 11800
(C) 12300
(D) 12500
ANSWER KEY:-
1. Sol-(C) |2x - 1| + |x - 3| = |2×1 - 1| + |1 - 3|
= 1 + 2 = 3
2. Sol-(C) 3 sinx + 5cosx = 5
on squaring both side/ दोनों ओर वर्ग करने पर
9 sin2 x + 25cos2 + 30sinx cosx = 25
9(1-cos2 x) + 25)1-sin2 x) + 30 sinx cosx = 25
9 + 25 - (9cos2 + 25sin2 x - 30 sinx cosx = 25
9 = (3 cosx - 5sinx)2
3 cosx - 5 sinx = 3
on squaring both side/ दोनों ओर वर्ग करने पर
9 sin2 x + 25cos2 + 30sinx cosx = 25
9(1-cos2 x) + 25)1-sin2 x) + 30 sinx cosx = 25
9 + 25 - (9cos2 + 25sin2 x - 30 sinx cosx = 25
9 = (3 cosx - 5sinx)2
3 cosx - 5 sinx = 3
3. Sol-(C) Le two number is 29a and 29b
29a + 29b = 232
a + b = 232/29 = 8
(a,b)= (1,7) (3,5)
The pair is (87, 145) (29,203)
मानादों संख्याएंa 29a और 29b है
29a + 29b = 232
a + b = 232/29 = 8
(a,b)= (1,7) (3,5)
जोडे़ (87, 145) (29,203)
29a + 29b = 232
a + b = 232/29 = 8
(a,b)= (1,7) (3,5)
The pair is (87, 145) (29,203)
मानादों संख्याएंa 29a और 29b है
29a + 29b = 232
a + b = 232/29 = 8
(a,b)= (1,7) (3,5)
जोडे़ (87, 145) (29,203)
4. Sol-(C)
![ssc quiz 03-04-18 http://onlinespeedtest.mahendras.org/Images/136323928455397.jpg](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_vMSN6PqW3dHasyxu0WWRwpefHVJqi3VI99ZfI2P0ejBUcyeYv2MWbWYe7e93YbKo4i9tZVHmoTYwfG9gfrdQ-W99nTK3J6qdy1EwWDkW0mqjGPwdinzcpUs6j5BXaKAVW4nSlcpbmhg-AJ0bYK5fw6T04j1dTYzd3f6QuO=s0-d)
5. Sol-(B) LCM of 22,18 = 198
Cost of 198 mango at the rate of 18 for Rs. 22= 242
Selling price of 198 mangoes at the rate of 22 for Rs 18 = 162
Loss = 242 - 162 = 80
Loss% =
= 33%
22,18 ल.स.प = 198
= 33%
Cost of 198 mango at the rate of 18 for Rs. 22= 242
Selling price of 198 mangoes at the rate of 22 for Rs 18 = 162
Loss = 242 - 162 = 80
Loss% =
22,18 ल.स.प = 198
198
आम का
मूल्य 22रु में 18 की दर
से = 242
198
आम का विक्रय मूल्य 18रु में 22 की दर से = 162
हानि= 242 - 162 = 80
हानि % =
6. Sol-(A) Number must be fector of (34041 - 32506) = 1535
Now, 1535 has only two fector 5 and 307
So, three digit number is 307
(34041 - 32506) संख्या 1535 का गुणज होगा। 1535 के केवल दो गुणज 5 और 307 है इसलिए तीन अंकों की संख्या 307 है।
Now, 1535 has only two fector 5 and 307
So, three digit number is 307
(34041 - 32506) संख्या 1535 का गुणज होगा। 1535 के केवल दो गुणज 5 और 307 है इसलिए तीन अंकों की संख्या 307 है।
7. Sol-(D) Let the train will meet each other after x hours
30x + 27x = 342
⇒ 57x = 342
⇒ x =
hours
माना ट्रेन एक दूसरे से X घंटे बाद मिलते हैं।
30x + 27x = 342
⇒57x = 342
⇒ x =
घंटे
30x + 27x = 342
⇒ 57x = 342
⇒ x =
माना ट्रेन एक दूसरे से X घंटे बाद मिलते हैं।
30x + 27x = 342
⇒57x = 342
⇒ x =
8. Sol-(C)
![ssc quiz 03-04-18 ssc quiz 03-04-18](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_tuTPOcVrSGYZ0-Z5szUVOZre0mS55wHIEJEuiP95oRzwhwHGf3RciTMPeFXiZ0ID0DFOsFLxiSc6pBBOhHO_5bvK9fXAYfMmfPravN_VjjEsFf_B1UMjTQirkNTkM_A01EcXr7EKCAOSHeurKavwyYxLhO7fFFn0X64Pv4=s0-d)
![ssc quiz 03-04-18 http://onlinespeedtest.mahendras.org/Images/136332033220312.jpg](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_v0KdK7pbnQ2vWGN1pwK4yNqvYGq4BMudcByO0vf6hOn3_jIl8hkHgD5nCJDa12Kb9gypC_h9WSiNoOmT6zVpdn_IlB6v_akYpZKPHBntJ6xmUXnKI77WgUTqJPM0t1v1AN6Qohsw1F0EralKR4ulAXkFt6IIEOH2n65BhdBQ=s0-d)
9. Sol-(A)
![ssc quiz 03-04-18 http://onlinespeedtest.mahendras.org/Images/136332221445562.jpg](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_tI5OqnQiGUxEPr4D_-nMp_d__FRgWRWv6csR3K3PUgnCAgGBtKM89L-2a9-8iBlvQBhebxRSj-bgtRnXbvlVwdVT4z4ht447KiepaF_UBssGPcus7KjxVGUEiyyY-O7DSXUr3167TuXicBvc35DHLFJ5MbCLuw9d2cxCP2=s0-d)
10. Sol-(A) 13 + 23 + ........103 = 3025
4
+ 32 + 108 + ...... + 4000
4(1+8+27 .....+1000)
4(1+23 +33 ......103)
4 × 3025 = 12100
4(1+8+27 .....+1000)
4(1+23 +33 ......103)
4 × 3025 = 12100